https://sulayman-bowles.dev/writingSulayman Bowles — WritingEssays on software, AI systems, and markets.Sulayman Bowleshttps://sulayman-bowles.dev/about2026-11-01T00:00:00Zhttps://sulayman-bowles.dev/research/financial-systems/company-stock-buying-guideWhich company stock can you actually buy?2026-10-27T00:00:00Z2026-11-01T00:00:00ZAs of October 26, Anthropic had filed for an IPO and xAI sat inside listed SpaceX. The “LEGO” ticker once belonged to a shell company that merged with a steel maker. The toy company is private.https://sulayman-bowles.dev/research/financial-systems/who-owns-dairy-queenWho owns Dairy Queen? Berkshire owns the parent2026-10-26T00:00:00Z2026-10-31T00:00:00ZBerkshire Hathaway bought International Dairy Queen in 1998. Most U.S. and Canadian restaurants are owned and run by independent franchisees.https://sulayman-bowles.dev/research/financial-systems/who-owns-chick-fil-aWho owns Chick-fil-A? The Cathy family2026-10-26T00:00:00Z2026-10-30T00:00:00ZThe Cathy family owns the private franchisor. Local Owner-Operators run restaurant businesses under its franchise model.https://sulayman-bowles.dev/research/financial-systems/anduril-valuation-capital-productivityAnduril is building a prime. The price assumes a platform2026-10-14T00:00:00Z2026-10-29T00:00:00ZI value the operations near $28 billion. The $61 billion price needs $99.5 billion of 2036 sales, about 37% growth a year.https://sulayman-bowles.dev/research/financial-systems/foreign-owned-texas-toll-roadsAre Texas toll roads foreign-owned? Only concession stakes2026-09-23T00:00:00Z2026-10-29T00:00:00ZFerrovial holds a majority of all three Dallas–Fort Worth concession companies: NTE, LBJ, and NTE 35W. The contracts end in 2061, and Texas keeps the highway.https://sulayman-bowles.dev/research/financial-systems/who-owns-us-toll-roadsWho owns U.S. toll roads? The agreement decides2026-09-23T00:00:00Z2026-10-29T00:00:00ZChicago leased its Skyway for 99 years and still holds the title. Virginia’s Dulles Greenway is privately owned.https://sulayman-bowles.dev/research/data-systems/jane-street-exact-search-solver-verificationChecking Jane Street’s official route2026-09-15T00:00:00Z2026-10-29T00:00:00ZThe July 2026 answer is 33,609, and the route ends at 59,400. My Python checker recomputes both from the official route.https://sulayman-bowles.dev/research/ai-systems/the-ai-megawattAn AI megawatt is not a megawatt2026-08-16T00:00:00Z2026-10-29T00:00:00ZThe modeled facility fits 402,574 B300 GPUs. Its power date, workload, and customer contract decide what that equipment is worth.https://sulayman-bowles.dev/research/ai-systems/the-first-ai-managersThe shopkeeper in the machine2026-07-14T00:00:00Z2026-10-29T00:00:00ZLuna’s July token bill left $6 before ordinary retail costs. The shops’ mistakes show what broader AI authority still has to earn.https://sulayman-bowles.dev/markets/who-owns-texas-toll-roadsWho owns Texas toll roads? Public owners, finite private rights2026-07-11T00:00:00Z2026-10-29T00:00:00ZThe public owns them, even where a private company collects your toll. On SH 130, a private concession runs the southern two segments.https://sulayman-bowles.dev/research/financial-systems/texas-toll-road-investment-economicsTexas toll roads: the road can work while the investment fails2026-10-27T00:00:00Z2026-10-27T00:00:00ZTexas agreed to pay $1.73 billion to end SH 288’s concession in 2024. Abertis, which paid about $1.53 billion for 56.76%, got $642.4 million back.https://sulayman-bowles.dev/research/mathematics/double-binomial-recurrence-continued-fractionA double-binomial recurrence and its continued fraction2026-10-27T00:00:00Z2026-10-27T00:00:00ZA formal-tail proof of the recurrence behind OEIS A302285, with exact computational checks.https://sulayman-bowles.dev/research/financial-systems/coreweave-debt-maturities-cashflowCoreWeave debt: $7.513 billion due within twelve months2026-10-26T00:00:00Z2026-10-27T00:00:00ZA financing commitment buys capacity to borrow. The filing shows the amount already owed and the cash needed to carry it.https://sulayman-bowles.dev/research/financial-systems/data-center-financing-cash-waterfallData-center financing: a contract can’t power the site2026-10-26T00:00:00Z2026-10-27T00:00:00ZA signed customer contract can support a loan, but it can’t make an unfinished, unpowered site collect cash.https://sulayman-bowles.dev/research/financial-systems/data-center-lease-vs-debtData center lease vs. debt: rent adds another clock2026-10-26T00:00:00Z2026-10-27T00:00:00ZRent can preserve today’s cash while committing tomorrow’s collections. Recognized lease liabilities cover only leases that have started.https://sulayman-bowles.dev/research/financial-systems/gpu-depreciation-financing-stressGPU depreciation: debt can run past three-year contracts2026-10-26T00:00:00Z2026-10-27T00:00:00ZA longer accounting life lowers annual expense. It does not reduce the lender’s scheduled payment.https://sulayman-bowles.dev/research/financial-systems/is-anthropic-profitableIs Anthropic profitable? Its $80 billion loss was mostly paper2026-10-26T00:00:00Z2026-10-27T00:00:00ZA $974 million June-quarter operating profit followed an implied $1.667 billion first-quarter operating loss. The first-half net loss tells a different story.https://sulayman-bowles.dev/research/financial-systems/sh-130-bankruptcy-capital-stackSH 130 bankruptcy: the road survived, and its owners changed2026-10-26T00:00:00Z2026-10-27T00:00:00ZDebt paid for 84% of the $1.328 billion project. The company was in Chapter 11 from 2016 to 2017, and drivers kept paying tolls.https://sulayman-bowles.dev/research/financial-systems/toll-road-bonds-cashflowToll-road bonds: debt coverage can hide the repair bill2026-10-26T00:00:00Z2026-10-27T00:00:00ZConstruction gets its money up front. The toll stream has to support the road, its creditors, and its next round of repairs.https://sulayman-bowles.dev/research/financial-systems/who-owns-aldiWho owns ALDI? ALDI Süd runs the U.S. business2026-10-26T00:00:00Z2026-10-27T00:00:00ZALDI U.S. belongs to ALDI Süd. Trader Joe’s is owned by families that also own part of ALDI Nord, and it says it’s independent of both.https://sulayman-bowles.dev/research/financial-systems/who-owns-texas-roadhouseWho owns Texas Roadhouse? TXRH shareholders2026-10-26T00:00:00Z2026-10-27T00:00:00ZThe Texas brand began in Indiana and reports from Kentucky. Public shareholders own the parent, while 100 of its 832 restaurants were franchised in June 2026.https://sulayman-bowles.dev/research/texas-public-finance/ntta-debt-maintenance-cashflowNTTA’s $96.2 million cash cushion after debt and capital2026-10-26T00:00:00Z2026-10-27T00:00:00ZThe headline 1.64-times coverage adds back maintenance the road still has to pay for. I’d judge NTTA by the cash left after debt and capital spending.https://sulayman-bowles.dev/research/texas/texas-toll-road-ownership-map-dataTexas toll-road ownership: map, tables and source data2026-10-26T00:00:00Z2026-10-27T00:00:00ZTxDOT runs SH 130’s first four segments, and a private concession runs the last two. Search a Texas toll road for its operator, its billing, and, where sourced, its owner.https://sulayman-bowles.dev/research/texas/who-owns-buc-eesWho owns Buc-ee’s? Aplin and Wasek’s private company2026-10-26T00:00:00Z2026-10-27T00:00:00ZArch “Beaver” Aplin III founded it in 1982 and co-owns it with Don Wasek. The company is private, and so is their exact split.https://sulayman-bowles.dev/research/texas/who-owns-whataburgerWho owns Whataburger? BDT-affiliated funds bought the majority2026-10-26T00:00:00Z2026-10-27T00:00:00ZHarmon Dobson opened the first one in Corpus Christi in 1950. After the 2019 sale, the chain kept its San Antonio headquarters.https://sulayman-bowles.dev/writing/ai-tool-call-timeout-recoveryWhen an AI tool call times out, did the action happen?2026-10-26T00:00:00Z2026-10-27T00:00:00ZA lost response leaves an operation uncertain. Durable identity, atomic receipts and a current-state check give the application a defensible recovery path.https://sulayman-bowles.dev/research/financial-systems/check-who-owns-a-texas-home-service-companyIs your local contractor still locally owned? How to check2026-10-21T00:00:00Z2026-10-27T00:00:00ZThe legal name on the quote starts the trail. Texas filings and acquisition announcements help connect it to a platform and investor.https://sulayman-bowles.dev/research/texas-public-finance/austin-isd-tax-collections-usable-budgetAustin ISD keeps 49 cents of each maintenance-tax dollar2026-10-21T00:00:00Z2026-10-27T00:00:00ZOf the $1.511 billion in maintenance-and-operations taxes Austin ISD booked in FY2025, recapture sent $771.6 million away. Enrollment fell 9.5% over six years, and revenue per student lost ground to inflation.https://sulayman-bowles.dev/research/texas-public-finance/texas-city-reserves-long-term-obligationsFive Texas cities’ reserves coexist with long-term deficits2026-10-21T00:00:00Z2026-10-27T00:00:00ZDallas ended FY2025 with $399.6 million of unassigned General Fund balance and a $4.854 billion deficit once long-term obligations count. Four other big Texas cities show the same split.https://sulayman-bowles.dev/research/texas/texas-business-ownership-and-infrastructure-mapsTexas business maps: who owns, runs, and finances what2026-10-21T00:00:00Z2026-10-27T00:00:00ZMy study of 67 Austin home-service brands follows each to the company behind it. The toll map traces who runs each road, and the robotaxi map shows where you can book a ride.https://sulayman-bowles.dev/research/mathematics/divisibility-patterns-and-the-size-of-a-witnessDivisibility patterns and the size of a witness2026-10-19T00:00:00Z2026-10-27T00:00:00ZA superexponential lower bound for the maximum, an exact family rate, and a universal upper bound. The exact growth remains open.https://sulayman-bowles.dev/research/mathematics/every-ordering-from-binary-polynomialsEvery ordering, from zeros and ones2026-10-19T00:00:00Z2026-10-27T00:00:00ZOne fixed set of inputs. Every possible ordering. A constructive proof with an exact, interactive example.https://sulayman-bowles.dev/research/mathematics/two-requested-recurrence-proofsTwo recurrence proofs: a matrix inverse and a binomial transform2026-10-19T00:00:00Z2026-10-27T00:00:00ZAn alternating matrix inverse, a formal binomial transform, and two explicit proof requests.https://sulayman-bowles.dev/research/financial-systems/hyperliquid-valuationHyperliquid valuation: HYPE isn’t cheap at $802026-10-14T00:00:00Z2026-10-27T00:00:00ZA $30 central case can still assume an excellent business. The difference is what reaches the token, how long growth lasts, and how many claims share it.https://sulayman-bowles.dev/research/financial-systems/kalshi-40-billion-questionKalshi’s $40 billion question2026-10-14T00:00:00Z2026-10-27T00:00:00ZBrokers and market makers take a cut of many trades. I value Kalshi’s equity at about $30 billion, below the $40 billion in recent talks.https://sulayman-bowles.dev/research/financial-systems/adobe-paid-workflowsAdobe: paid workflows at a price I like2026-10-13T00:00:00Z2026-10-27T00:00:00ZAt its October 12 price of $238.14, Adobe traded at about 10.9 times cash after stock compensation. I forecast $365 by October 2028, if paid renewals hold up.https://sulayman-bowles.dev/research/financial-systems/crocs-cash-and-brand-testCrocs: a cash engine with a brand test2026-10-13T00:00:00Z2026-10-27T00:00:00ZQ2 adjusted earnings fell while adjusted EPS rose: buybacks spread less profit over fewer shares. I forecast $165 a share by October 2028, from $116.90.https://sulayman-bowles.dev/research/financial-systems/elevenlabs-cost-of-accepted-workElevenLabs: what a finished minute is worth2026-10-13T00:00:00Z2026-10-27T00:00:00ZIn my hypothetical workflow, a $168 monthly bill frees $1,800 of human time. If half of that becomes cash, the buyer nets $732 a month.https://sulayman-bowles.dev/research/financial-systems/expedia-network-and-cashExpedia: the network beyond the booking2026-10-13T00:00:00Z2026-10-27T00:00:00ZExpedia holds travelers’ money before the trip, which flatters its $4.46 billion of free cash flow. Strip out that float and stock pay and I count $2.65 billion. I forecast $360 a share by October 2028, from $268.47.https://sulayman-bowles.dev/research/financial-systems/flock-safety-installed-cohort-cashFlock Safety: the renewal has to pay for the camera2026-10-13T00:00:00Z2026-10-27T00:00:00ZIn my hypothetical base case, 100 cameras collect $300,000 up front and still finish year one $90,000 behind. I’d finance them only if renewals pay that back quickly.https://sulayman-bowles.dev/research/financial-systems/paypal-margin-dollar-recoveryPayPal: a modest recovery worth buying at $562026-10-13T00:00:00Z2026-10-27T00:00:00ZQ2 revenue rose $394 million, but transaction-margin dollars rose only $56 million, about 14 cents per added dollar. I forecast $85 by October 2028.https://sulayman-bowles.dev/research/texas/texas-autonomous-trucking-operatorsThe Texas driverless truck has to finish the job2026-10-13T00:00:00Z2026-10-27T00:00:00ZMy $1,150 quote leaves $123 per accepted load for surprises. The return depends on the dock, the rejected freight, and the bill for recovery.https://sulayman-bowles.dev/research/texas/texas-robotaxi-business-service-mapTexas robotaxis, one trip at a time2026-10-13T00:00:00Z2026-10-27T00:00:00ZIn Austin, a Waymo costs the same as an Uber with a driver. I’d approve them in a travel policy, but I’d book committed cars before promising guests a ride to an event.https://sulayman-bowles.dev/research/financial-systems/chegg-cash-flow-turnaroundChegg has bought time2026-10-12T00:00:00Z2026-10-27T00:00:00ZDebt retirement removes a maturity. The new business has replaced about 0.6% of the quarterly revenue lost.https://sulayman-bowles.dev/research/financial-systems/harvey-who-keeps-the-value-of-legal-aiDoes Harvey justify its cost? Modeled break-even: 10.9%2026-10-12T00:00:00Z2026-10-27T00:00:00ZIn a hypothetical 100-lawyer firm paying $290,000 in year one, I calculate that about 10.9% of the hours Harvey frees must earn $200 each to break even.https://sulayman-bowles.dev/research/financial-systems/toast-gross-profit-engineToast: I want the gross-profit engine near $242026-10-12T00:00:00Z2026-10-27T00:00:00ZI get $37 a share in three years, just 5.8% a year from $31.29. I’d want an entry near $24 for a 15% return.https://sulayman-bowles.dev/research/financial-systems/vanta-after-the-auditVanta after the audit: compliance becomes recurring2026-10-12T00:00:00Z2026-10-27T00:00:00ZThe recurring job is maintaining evidence between audits. I model post-audit retention, new ARR and the investment return at the last disclosed financing benchmark.https://sulayman-bowles.dev/research/strategy-systems/choosing-a-growth-channel-under-a-capacity-limitSell the review before you scale the app2026-10-12T00:00:00Z2026-10-27T00:00:00ZThe assisted offer wins at $399 and loses at $99. I would sell the first reviews to learn whether the higher price buys a recurring business.https://sulayman-bowles.dev/writing/atlas-building-an-evidence-consoleAtlas: what two saved page captures reveal2026-10-01T00:00:00Z2026-10-27T00:00:00ZA local audit console for deciding when to repair a page and when to take another measurement.https://sulayman-bowles.dev/research/financial-systems/who-owns-nttaWho owns NTTA? A public authority, with nine appointed directors2026-09-23T00:00:00Z2026-10-27T00:00:00ZIt’s a public body run by nine directors: two each from Collin, Dallas, Denton, and Tarrant counties, and one from the governor.https://sulayman-bowles.dev/research/search-console/search-console-query-vs-page-totalsWhy Search Console query totals do not match page totals2026-09-23T00:00:00Z2026-10-27T00:00:00ZAnonymized queries, the 1,000-row UI limit, top-row API results and property-versus-page aggregation explain many mismatched totals.https://sulayman-bowles.dev/research/financial-systems/why-texas-toll-roads-stay-tolledWhy Texas toll roads stay tolled after construction2026-09-02T00:00:00Z2026-10-27T00:00:00ZThree years of audited accounts show how system debt, new borrowing, county transfers and concession rights keep tolls in place.https://sulayman-bowles.dev/research/data-systems/us-rare-earth-magnet-manufacturing-capacityThe U.S. magnet buildout is mostly still a project2026-08-17T00:00:00Z2026-10-27T00:00:00ZPlants with disclosed commercial shipments account for 4,000 of 37,750 announced capacity units. I would finance the product and its customers before the national headline.https://sulayman-bowles.dev/research/financial-systems/software-buyout-boom-2020-2022-exit-auditWhere the 2020–2022 software buyouts stand2026-08-17T00:00:00Z2026-10-27T00:00:00ZNone of 25 selected software take-privates had a clean sponsor exit by August 17, 2026, though investors can still get cash back through continuation funds.https://sulayman-bowles.dev/research/financial-systems/who-owns-austin-home-service-companiesWho owns Austin home services? 14 of 67 were sponsor-backed2026-07-26T00:00:00Z2026-10-27T00:00:00ZThree ownership chains behind familiar Austin names, followed by the 67-brand census.https://sulayman-bowles.dev/research/financial-systems/how-airlines-borrow-against-loyalty-programsHow airlines borrow against loyalty programs2026-07-23T00:00:00Z2026-10-27T00:00:00ZRecurring partner receipts can support a loan before awards are redeemed. The analogy to GPU contracts stops at fulfillment, renewal and the assets a lender can recover.https://sulayman-bowles.dev/research/financial-systems/what-happens-when-an-index-decides-a-company-mattersWhat happens when an index decides a company matters?2026-07-23T00:00:00Z2026-10-27T00:00:00ZAn index addition gives tracking funds a deadline to change their portfolios. Traders can buy ahead and sell into that demand; the fund’s investors carry the risk of any later fall in the share price.https://sulayman-bowles.dev/research/financial-systems/hidden-financing-hardware-startupsWho keeps the risk in hardware financing?2026-07-22T00:00:00Z2026-10-27T00:00:00ZLoans, leases, and customer prepayments let hardware companies deploy with less equity. When the machines earn less than planned, the contracts decide who takes the loss.https://sulayman-bowles.dev/research/financial-systems/waymo-hardware-financingWho funds Waymo’s hardware? Alphabet buys the learning period2026-07-22T00:00:00Z2026-10-27T00:00:00ZWaymo’s disclosed funding was all equity until October 8, when it closed a $5 billion term loan. Lenders now expect repayment, on terms that aren’t public.https://sulayman-bowles.dev/research/financial-systems/where-online-returns-actually-goWhere do online returns go? The route has to earn its cost2026-07-22T00:00:00Z2026-10-27T00:00:00ZIn my model, a returned pair of $100 headphones is worth $22.56 after retrieval. The return still costs $77.44 of profit against a kept sale.https://sulayman-bowles.dev/viralbench-codex-agent-harnessA proposed Codex harness for ViralBench2026-07-09T00:00:00Z2026-10-27T00:00:00ZA proposal to improve the marketing agent through saved traces, replay and independent evaluation.