Broadcom Inc. undertakes residual support alongside external financing. Use a fictional balance–recovery matrix and six-field worksheet to check assumptions and missing evidence in your documents, without estimating an actual loss or trigger probability.
Broadcom’s AI Financing Backstop: Lease Balances and Resale Recoveries
The essentials in 30 seconds
- 01
Read funding and conditional support as different relationships.
- 02
Separate the percentage’s balance from the transaction total.
- 03
Hold each fictional input fixed and test shortfall boundaries.
- 04
Read remedies as branches, without adding alternatives.
- 05
Map documents to questions in six fields and identify the next evidence.
Financing compute capacity with residual-value support
A special-purpose vehicle (SPV) holds assets or contracts for a particular transaction. Here, the SPV will buy equipment and lease it to Anthropic, with deliveries expected from 2027.[S1] Read funding and support separately.
The 8-K says residual support grows with delivery/deployment and falls with lease payments. Default exposure relates to 72.5% of outstanding lease amounts less sale recovery; the company considers occurrence unlikely.[S2] Figures 2 and 6 identify the ceiling and remedies.
When checking a disclosure, start by recording what event could generate a claim against which party, before comparing headline amounts. The worked examples below use fictional balances and sale proceeds to test conditions that change an illustrative recovery shortfall. A final worksheet maps the subject, trigger and recovery options described in actual documents. It involves neither sending confidential documents nor automatically applying a legal conclusion to a reader’s own contract.
Map financing providers separately from the support provider
An SPV is an entity or vehicle used to hold assets or contracts for a particular transaction. It can combine finance and a usage agreement through a separate entity rather than leave a large equipment purchase to the operating user’s financing alone. Adding a vehicle does not by itself isolate every participant’s risks. The contracts transferred and support retained need separate examination. Here, the opening conditions define the boundary to examine.
Use the relationship map to distinguish funding from support obligations. Equal slices would obscure both different roles and undisclosed allocations. Following separate relationships instead exposes the work of providing finance and of undertaking support.
Figure 1 is a conceptual map separating roles. Equipment use, funding and support belong on different lines. Two lines must not imply that the same payment can be collected twice. Naming each relationship lets readers follow funding and responsibility for a possible shortfall separately. The contract being examined also differs from the receivables-payment routes explained in Compare receivables proceeds and customer collections.
Figure 1 Finance and support follow separate relationships
Follow the support relationship involving the technology provider.
- Financial participants
Finance →
- SPV
Equipment lease →
- User
User payments → Asset holder / Support provider → Conditional obligation
A conceptual role map, not actual allocations, a complete supply chain or identification of the seller.
The transaction, potential support and current loss are different quantities
Read Figure 2 by identifying what each amount measures. A transaction’s investment funding and a conditional support ceiling differ despite a common currency. Adding them in a stacked bar would portray support associated with the transaction as additional funding. The table aligns their definitions rather than presenting additive components. Establishing the quantity being measured comes before judging funding adequacy.
Nor can approximately 68.3%, obtained by dividing 43 by 63, be called the transaction’s loss rate. Its numerator is a particular conditional maximum and its denominator a transaction amount, not losses incurred and invested principal over a matching period. A ratio can be arithmetically calculable without being an interpretable economic measure. An actual loss rate would require an observation period, a loss definition, treatment of recoveries and the corresponding balance.
A percentage has a specific denominator. The calculations below keep the disclosed conditions in the opening separate from the transaction total. Multiplying 63 by 72.5% gives 45.675, but its failure to equal 43 does not permit reconstruction of an undisclosed financing split. Instead of forcing different measures into one identity, first write down what the percentage applies to. That helps prevent confusion between lien position and support scope.
Figure 2 Align definitions before adding amounts
Do not turn amounts with different bases into a loss rate.
| Amount | Object | Condition to retain |
|---|---|---|
| $63bn | Transaction total | Not an additive breakdown including support |
| Approx. $43bn | Conditional maximum | Upon deployment, undiscounted; not a current loss |
| Illustrative recovery shortfall | Output from fictional inputs | Not an appraisal or payment forecast |
Definitions correspond to the two opening documents; amounts are not added.[S1][S2]
Test a sale shortfall with one fictional example
The following example isolates the relationship with disposal proceeds; it does not predict payment under the actual contract. Set a fictional outstanding balance at 100, the reference percentage at 72.5%, and proceeds received from selling assets at 60. These are illustrative units, not transaction dollars or an equipment appraisal. Subtracting 60 from the reference amount of 72.5 gives 12.5. Figure 3 uses one scale for the reference amount, recovery and shortfall so the calculation is visible.
If proceeds are 90, they exceed the same reference amount by 17.5. For this illustrative model, support is defined as zero when there is no shortfall; the company is not assumed to receive a negative support payment. That defines the fictional comparison, not a legal floor or ownership of excess recoveries under the actual contract. Triggers, covered agreements and the remedy used with its conditions also matter to an actual outcome. The model must not create rights outside its stated scope.
The example helps separate the word value from original purchase price. A new asset’s cost, carrying amount, a used-market quotation and proceeds actually received on sale can differ. Entering purchase cost in a recovery field would remove the very gap being examined. If a document’s valuation basis cannot be identified, leave the field open rather than substitute a number and present the result as precise.
Figure 3 Locate recovery and the fictional shortfall
100 × 0.725 − 60 = 12.5.
All values are fictional units on a zero baseline. Balance: 100. A defined nonnegative shortfall model, not the full contractual payment.
Vary the balance and recovery independently
Figure 4 compares fictional balances of 100 and 80 against recoveries of 90, 60 and 30. At a balance of 100, the illustrative shortfalls are 0, 12.5 and 42.5. At 80, the reference amount falls to 58, giving 0, 0 and 28. Reading across a fixed-balance row and down a fixed-recovery column separates the effect of payments from that of disposal proceeds. Changing both inputs in a single example would make their separate contributions harder to see.
Holding recovery at 30, a reduction of 20 in the balance lowers the shortfall by 14.5, because the reference is 72.5% of that balance. In the recovery-60 column, however, the reduction stops at 12.5 as the shortfall reaches zero. That is the kink in the defined nonnegative model. Equating a balance reduction with an equal support reduction would miss both the coefficient and the treatment after zero. Interpreting actual payments similarly requires identifying which balance they reduce.
Readers can reproduce the comparison by holding two chosen conditions fixed in turn. First align the dates of balance and recovery evidence and check which agreement the percentage covers. Then vary recovery across columns and balances across rows. A highly sensitive cell says nothing by itself about the probability of its conditions. The matrix locates boundaries at which results change; it does not forecast which cell will describe the future.
Figure 4 Hold each input fixed in turn
A fixed recovery can produce different shortfalls at different balances.
| Fictional balance | Recovery 90 | Recovery 60 | Recovery 30 |
|---|---|---|---|
| 100 | 0 | 12.5 | 42.5 |
| 80 | 0 | 0 | 28 |
Fictional units. Shortfall = max(0, 0.725 × balance − recovery). A model definition, not a probability or legal floor.
Track changing equipment cohorts
To map the opening conditions across time, measuring from an order announcement is insufficient. Align deployed equipment with payments reducing covered balances. An event advancing supply can also enlarge the subject of conditional support. Capacity growth and that exposure should not be presumed to move in opposite directions. If an unchanged balance contains a changed population, the next assessment needs its composition.
Consider fictional equipment cohorts A and B. A has been deployed, and lease payments are reducing its covered balance; B is deployed later. In an aggregate balance, additions from B could offset reductions from A, leaving the total unchanged. Equipment age, remaining payment terms and disposal conditions need not be the same, however. A flat aggregate cannot establish unchanged risk in every underlying agreement. This is an aggregation example, not a description of actual delivery cohorts.
Figure 5 is a time ledger for tracking that replacement. Record equipment entering the covered set separately from balance reductions through payments. If new equipment appears between assessments, check whether earlier and later valuations cover the same set. Mixing additions into an examination of lease-payment effects could falsely suggest that payments have made no progress. Aligning the population and date remains necessary after financing has been arranged.
Check payment delays against financing windows examines how a borrowing window changes when expenditure is delayed. This article instead follows balances and recoveries after equipment deployment, so a dated ledger serves a different purpose. A funding review should keep available borrowing, amounts actually used and balances subject to support in separate fields. An increase in one does not establish an equal increase in the others.
Figure 5 A fictional timeline retains cohort changes
A flat total does not establish unchanged underlying agreements.
- T0: comparison beginsIdentify the set
- T1: add cohort ARecord additions
- T2: payments on ARecord reductions
- T3: add cohort BRecheck the population
A process illustration, not actual delivery dates, counts or payment times.
Alternative remedies are not three additive costs
The remedies identified in Figure 6 are alternative ways to limit exposure, not instructions to execute all three and add their costs. Figure 6 branches from one problem into possible responses, placing the route and its conditions before the calculation. A sale illustration should not be extended to other remedies. Keep only the inputs needed for the selected path, rather than combine costs arising under different conditions.
The seller in the resale provision is unnamed. Calling Broadcom the direct rack seller or the party obliged to repurchase would merge a supply chain the disclosure does not specify. A technology supplier, seller of complete racks and asset-owning SPV can occupy distinct roles. Where the document does not name the party, retain the role rather than filling it with an inferred company name.
Different remedies entail different work. A sale raises questions about buyers, transfer conditions and receipt of proceeds; taking over an agreement raises questions about continuing payments and operations. Identifying such tasks does not establish simultaneous occurrence of every cost. Separate research impairment from contractual burdens, on research-asset impairment and contractual burdens, likewise separates recognized losses, estimated obligations and cash settlement. A headline amount should not erase those stages here either.
Figure 6 Select the remedy before calculating
Do not add alternative remedies into one cost.
Covered default: check conditions
Branches show alternatives, not simultaneous execution of every route.[S2]
Compare whose position changes when the support clause is present
To examine external financing, place the same fictional balance of 100 and recovery of 60 in two diagrams. One includes an assumed support relationship; the other omits that clause. In the latter, the support provider’s shortfall obligation under this clause is set to zero. That does not remove every corporate risk or describe an actual alternative available at the same price. It is an assumption isolating one contractual feature.
In the hypothetical with the clause present, the network does not end with the user and financing providers: a conditional obligation connects another party. This difference helps ask what moves and what remains when external funding arrives. Conversely, retaining a connection does not mean the support provider lends the entire amount. Keep funding and support separate, and check the documentary basis of each.
The comparison shows why transaction scale should be accompanied by an examination of who absorbs which changes in conditions. Support may help establish conditions for financial institutions to provide funding, while the supporting company retains an interest in future disposal recoveries. That combination can enable a transaction, but the diagram does not reveal participants’ benefits, fees or pricing. Mapping contractual roles is not a scoring exercise for each participant’s profitability.
Figure 7 Fictional comparison: the relationship changed by this clause
This does not mean no risk or an alternative available at the same price.
| Assumption | Relationship examined | Using Figure 3 inputs |
|---|---|---|
| Clause present | Conditional link to support provider | Illustrative shortfall: 12.5 |
| Clause absent | No obligation under this clause | Defined as 0 under this clause |
A comparison changing one assumption, not evidence of identical other contracts, prices or risks.
Equipment recovery value depends on more than performance
Equipment’s ability to compute differs from its ability to deliver the same economic value after transfer to another user. A prospective buyer may need to check software, networking, power and installation compatibility. These are general disposal considerations, not assertions of particular transfer restrictions on this equipment. Where disclosed support depends on sale recovery, performance information alone cannot determine proceeds.
A fictional buyer X may value equipment that fits directly into existing facilities. Buyer Y may be able to use the same performance but expect additional connection or installation expenditure. An identical asking price need not produce identical bids. The difference arises from the buyer’s costs of reaching usable operation, not only computational speed. An actual assessment would check whether those costs are embedded in the bid or separately borne by the seller.
If transfer takes time, the amount and date of recovery diverge as questions. An expected recovery of 60 available immediately differs from 60 arriving only after later procedures, because interim funding needs differ. Figure 4 is undiscounted and does not hide timing inside a small price adjustment. A separate ledger can list appraisal, agreement, transfer and receipt dates. Identifying when cash becomes available is more useful than merely adding numerical precision.
Technology upgrades do not establish a single direction either. More efficient new equipment could reduce buyers’ valuations of existing assets. Alternatively, broader usage demand and constrained new supply could sustain uses for an earlier generation. These are conditional mechanisms, not forecasts of a depreciation rate for any generation. Potential buyers by use case, operating conditions after transfer and actual transaction prices would help distinguish them.
Where customer credit meets demand for the equipment
Assessing support requires separate questions about a user’s ability to pay and the proceeds an asset could realize. Those variables need not move independently. Weaker industry demand could pressure operating revenues while also reducing the pool of buyers for similar equipment. If alternative buyers weaken when payments falter, holding an asset or providing residual support does not preserve recovery assumptions automatically.
Alternatively, a user-specific problem could impair payments while demand in other uses remains intact. Transferring equipment might then work better than in a broad industry decline. Figure 8 separates user payments from alternative demand. It assigns neither probabilities nor recovery forecasts. Its purpose is to distinguish a user-specific credit problem from common demand conditions, instead of treating every credit problem as evidence about AI demand as a whole.
Examine a benefit fund’s resources and allocation, on Anthropic’s Public Benefit Fund, also examines support resources concentrated in one company’s value. Here, however, the subject is a conditional obligation connecting a lease to equipment disposal, not discretion over share-based distributions. A useful comparison goes beyond saying asset values can weaken in difficult conditions. It asks who may claim what, and which asset value enters which calculation. Similar risk language does not establish identical recipients or rights.
Figure 8 Read payments and alternative demand on separate axes
Separate user-specific credit from common demand conditions.
| User payments | Alternative demand holds | Alternative demand weakens |
|---|---|---|
| Hold | Observe operations and payments | Examine future recovery conditions |
| Weaken | Check destination and execution terms | Reassess payments and recovery together |
Conditional mechanisms without probabilities, forecasts or asset scores.
The benefit of enabling supply and the conditions accepted
The structure can mobilize funds and advance deployment. The operating user obtains computing capacity, financial participants anticipate payments associated with specified assets or agreements, and a technology provider may combine opportunities from greater use with conditional residual-support obligations. Treating support itself as evidence of failure would overlook its enabling role. Treating successful financing as proof of profitability would overlook the conditions under which obligations remain.
If support changes financing terms, the distribution of benefits matters too. Usage fees, equipment prices, financial returns and any consideration for support can change participants’ economics even when the capacity supplied is identical. The two transaction documents do not provide enough detail to quantify that distribution. Calculations rejecting profitability from the obligation alone or establishing profits from planned supply alone therefore both lack necessary inputs.
A wider group of financing participants is relevant to capital availability, but one transaction does not establish unlimited funding. Repeating a structure can change terms depending on who can accept additional support obligations and how much capital seeks similar assets. If support accumulates at one company, the success of individual transactions does not establish greater flexibility across the company. That broader question requires the set of agreements and uses of funds.
Separate loss assessment from the timing of cash needs
A maximum conditional obligation is not current-period cash expenditure. Actual funding needs depend on the trigger, remedy and performance dates. Even adequate ultimate disposal proceeds can coexist with interim funding needs if payments fall due earlier. This does not assert that the actual contract requires a particular advance payment; it identifies why an amount comparison alone cannot describe liquidity.
The same fictional shortfall of 12.5 can produce different funding peaks if settled immediately or handled over time through assuming an agreement. A final-burden table and a monthly availability-of-funds table serve different purposes. More time need not always improve flexibility: rates, equipment uses and transfer costs could change during a delay. The cost of a quick disposal and the cost of waiting need to be compared against the options actually available.
Compare reinvestment timing and interest income, on the sequence from changing rates to earnings, illustrates why renewal and reinvestment dates matter alongside balances. Here too, similar amounts cannot make the support provider’s liquidity identical to that of financial institutions. Align obligation dates, financing periods and asset-sale receipts, then identify where mismatches remain. Where documents do not establish a date, a conditional blank is more useful than an invented common deadline.
Transmission runs through investment and credit conditions
If financing progresses into actual deliveries, it can support orders for equipment and associated facilities. A financing announcement, equipment transfer, start of use and user revenues remain different stages. Formation of an agreement does not establish that all capacity is operating profitably. Assessing global AI investment likewise requires matching financing commitments with the amount actually reaching operation and its timing.
Credit conditions can both enable and constrain supply. Greater confidence in future payments and recoveries may help establish financing terms. Weaker recovery assessments could instead change the support or equity required in subsequent transactions, affecting investment’s pace. This is not a claim that the participating banks have tightened terms. It is a mechanism for examining growth through the capacity to bear recovery risk as well as product demand.
The market implications do not reduce to a direction for one stock. Investors may assign different weights to enabled supply, conditional support, funding costs and expected usage revenues. A liability ceiling alone cannot determine a reduction in company value without trigger probabilities, recovery estimates and timing. Conversely, a rising share price does not make the support safer. Contractual conditions and market valuation do not establish each other’s conclusions.
Support is not by itself evidence of an unsound transaction
A strong counterargument is that transferable assets provide a meaningful recovery route. Compared with reliance solely on the operating user’s credit, disposal options could broaden financing possibilities. Ignoring that benefit and treating a conditional obligation as an immediate full loss would be inappropriate. Evaluating the outcome requires more than agreement or disagreement with management: it requires evidence on buyers and prices supporting alternative uses.
Another counterargument is that enabled capacity could strengthen the user’s business and generate revenues supporting future payments. That mechanism requires effective use and revenues sufficient to meet obligations. A favourable utilization rate, usage price or operating cost alone cannot establish overall profitability. When comparing documents, keep capacity growth separate from usage revenues and retain the conditions connecting them.
SG Group’s view is to examine both the conditions enabling the transaction and the states that return a burden to a particular party, rather than use support as a good-or-bad label. Evidence of broad recoverable uses and buyers, progressing payments and reduced dependence on additional support would challenge a more adverse reading. If exposure expands while payments lag and disposal conditions weaken, an unchanged maximum alone would miss the change. Contract-level evidence is more useful than a directional declaration.
Three paths and the evidence that changes the assessment
The first path combines progressing deployment and use with payments reducing covered balances. Capacity growth alone is insufficient evidence. Separate new additions from reductions associated with existing agreements and examine whether recovery conditions hold. Even an unchanged maximum can contain declining older balances alongside new exposure. Evidence from mature agreements should not automatically be extended to newly added equipment.
In the second path, user payments weaken while alternative buyers or uses remain available. Comparison then turns to which equipment can move, on what terms and when. Distinguish executable bids from expressions of interest, and avoid counting transfer expenditure twice. Figure 4 allows recovery assumptions to vary, but a planned sale and proceeds actually received must remain distinct if the outcome is to be checked later.
The third path combines weaker payments with deteriorating recoveries. Multiple financing participants need not eliminate that shared weakness. This is not a verdict on the actual transaction. Payment performance, real disposal transactions and the contractual scope of support help distinguish areas warranting stronger concern from general possibilities. A conditional assessment becomes testable when it also identifies evidence that would weaken it.
Map a disclosure into six fields
Figure 9 is a worksheet for rereading documents. Record the document date and covered agreement, then map the support trigger, percentage denominator, recovery definition, available remedy and performance or receipt dates. The fields do not create an appearance of precision. They identify missing relationships before a number enters a calculation. Details absent from a particular contract’s public description must not be supplied from this article’s examples.
For example, a balance might be dated at quarter-end while an equipment appraisal is a month older, even for the same agreement. Combining them in Figure 4 could omit intervening payments and additions. Without a matching update, retain the date difference rather than present a common-time result. Align remaining collateral and claim timing examines the timing of collateral and claims; here, the objects being aligned are lease balances and disposal recoveries.
Next label each amount as a maximum, balance, estimate or actual receipt. A common currency is insufficient reason to add values, and substituting a maximum for a balance does not measure current exposure. The financial-statement guide Connect balances and changes across financial statements explains the distinction between a point-in-time balance and changes over a period. When rounding, retain the original input and displayed precision in the reader’s own notes.
The worksheet is a freely readable part of this article, not an input form, automated appraisal or persistent storage feature. Readers supply numbers from public or legitimately held documents and compare them locally. No contract, account number or credentials need to be sent to the site. Applying the framework to a particular agreement requires its full terms and separate judgment. The article’s task is to clarify what belongs in each field and where uncertainty begins.
Figure 9 Six fields connecting documents to the reader’s question
First record document date and covered agreement; do not fill gaps by inference.
| Field | Transcribe | Question if unmatched |
|---|---|---|
| Trigger | Covered event | Is the assumed event covered? |
| Denominator | Balance referred to | Has the transaction total been substituted? |
| Recovery | Valuation basis and date | Are appraisal and actual receipt mixed? |
| Remedy | Available route and conditions | Have alternatives been double-counted? |
| Timing | Performance and receipt dates | Where is an interim funding mismatch? |
| Input type | Actual, estimated or assumed | Which evidence updates it? |
A freely readable table for local comparison with the reader’s documents, without input, transmission, storage or legal determination.
In the next disclosure, examine the exposure behind the maximum
Useful future evidence would go beyond repeating the headline maximum. It would allow comparison of equipment entering the covered set, payments reducing particular balances and changes in support scope. An actual sale or transfer could also connect appraisal, receipt, remedy conditions and elapsed time. The form of any such disclosure is not fixed, so a date or promise of transaction-level detail cannot be supplied here.
Some uncertainties can be reduced by later price evidence; others require contractual information. A single used-equipment price cannot become a recovery estimate if configurations or transfer terms differ. Conversely, a clearer contractual perimeter can change the calculation even without a price move. New evidence should be assessed for the missing relationship it resolves, not simply for its later date.
Compare the two documents by purpose: separate the task of tracing finance and use from that of mapping the support’s subject and conditions. Each document then has a specific question to answer. Repeated appearances of one transaction in separate documents must not become additional funding transactions. As Reconcile orders, shipments and balances explains for orders, shipments and balances, the same underlying subject can appear at different stages. More documents do not establish proportionately more economic activity.
SG Group View: follow support after financing moves
The transaction shows why AI investment is difficult to read as a relationship between funder and user alone. Even with SPV financing, a supporting company connected to deployment and disposal recovery remains inside the network as both supply and conditional exposure change. The headline transaction amount does not reveal that relationship, which is why the role map and matrix are used together. This reading examines the conditions supporting external finance rather than denying its existence.
A reader still has work after a short summary supplies the financing scale and existence of support: map each amount in the document being read to its date, subject and conditional effect on a particular party. Transcribing those relationships into Figure 9 and varying inputs individually in Figure 4 helps identify what changes a conclusion. Even without one final answer, narrowing the required contractual terms or valuation basis makes the next evidence-gathering step concrete.
The assessment depends on more than conviction about future AI demand. Progressing payments, transferability to other uses and funding available when needed call for different evidence. Set out in advance which observations would reduce concern and which changes would increase it. Retaining a comparison traceable to equipment and agreements, rather than compressing a support maximum into a favourable or adverse verdict, makes the transaction easier to reassess over time.
Questions and answers
Does the difference between the transaction total and support ceiling measure financial partners’ losses?
No. A transaction total and a support maximum under specified conditions have different bases. Subtracting them does not reveal balances by lien, actual loss allocation or costs outside the support. Return to the role map and identify the agreement corresponding to each amount.
Can the illustrative percentage be applied to other leases?
No. The percentage used in the illustration is not a universal coefficient transferable to other agreements. Applying it without the covered contract, trigger and recovery definition would invent rights or obligations.
Can a new-equipment price stand in for recovery proceeds?
Purchase cost can provide context but need not equal disposal receipts. Configuration, use, transfer conditions and date can differ. A substitution must remain an explicit assumption, not be presented as an actual appraisal or transaction.
At the same recovery, do payments always reduce the burden?
In the defined fictional model, a lower covered balance does not increase the shortfall and can reduce it to zero. Actual exposure can also involve additions or changes in scope. Comparing different dates or populations does not isolate payment effects.
Should asset-sale and lease-assumption costs be added?
Alternative remedies cannot be added unconditionally. First identify the route and its conditions. Placing the same asset or payment in two routes can double-count the burden.
Can the probability of support being triggered be read from a share price?
A share price reflects other earnings, rates, businesses and market assessments. Isolating a trigger probability would require additional assumptions. A price move cannot therefore verify safety by itself; start with contractual conditions and payment evidence.
Will replacing the example numbers with my company’s data produce a legal conclusion?
The worksheet helps organize subjects and conditions. An actual agreement requires separate consideration of its full terms, scope and procedures. Arithmetic checks and legal determinations are different tasks.
Does the worksheet require data transmission or paid input?
The table is freely readable; readers provide documents and compare them locally. It is not an input, transmission or storage service, so no contract or credentials need to be sent.
Related reading
Sources
Notes and update history
The balance–recovery model is fictional, not an equipment appraisal, trigger probability, legal conclusion or investment advice. Comparisons between disclosed amounts follow the distinctions in the text.
2026-10-28: First publication.