Commercial priorities after computational-model review

The first-pass catalog still contains 41 dossiers linked to 372 family assessments. Deeper construction review has changed three leading direct-algorithm hypotheses: the literal fixed-margin table sampler, accelerated general matcher and perfect-matching FPRAS have extreme schedules or prerequisites. They are deferred as production speedup backends. The evidence/model-assurance platform remains the first implementation candidate; constrained-data law auditing and allocation certificates are narrower integration hypotheses that can be reviewed now.

Updated build and earning queue

Why the direct-backend decisions changed

For family 115, the general outer sampler declares T=d^200(k+b)^2; the two-by-two example has a 260-digit transition count. Its exactness correction is a rare exhaustive branch, which separates expected time from bounded latency. Uniform integer tables also differ from conditional-independence samples: in the [2,2] example the three laws have masses 1/3,1/3,1/3 versus 1/6,2/3,1/6. An audit must record the intended model rather than substitute one distribution silently.

For family 120, a mandatory backend guard gives log2(S)>=200000a^6, and the first accelerated branch uses a=1001. This is an astronomical necessary master-size condition, not a sufficient threshold or a contradiction of the asymptotic theorem. Structural easy cases, the fallback and redesigned algorithms remain separate. There is no demonstrated finite crossover for the literal accelerated implementation. Full derivations and limits.

Family 113's literal nonempty counting schedule requests about 4.52*10^48 fresh sampler runs per stage already at two vertices for error 1/10. Its deterministic companion permits factor 512^n, not a fixed relative-error guarantee. A 24-vertex-capped conventional exact reference now supplies count/rank and single-edge fragility diagnostics. New derivation and integration evidence.

The new utilities are conventional finite/reference components. They do not establish that the source's broad algorithms have been implemented. Preserve the unrestricted research capability as a separate engineering objective; the references make its future validation concrete.

The buyer-value test

The data audit must catch a material law or constraint mistake in a recurring task; the allocation audit must provide a useful objective/feasibility explanation or verified optimum that the current workflow lacks. The matching audit can certify maximum cardinality when an independently checked bound is attained. It leaves a loose bound unknown, and a certificate does not prove the business graph includes every required constraint.

Existing tools are substantial baselines: SciPy supplies conditional-independence fixed-margin sampling, NetworkX supplies general matching, and Tonic/Gurobi support broader data and optimization workflows. Existence of these products is not proof of new demand. SciPy API, NetworkX API, Tonic products, Gurobi licensing.

Earning hypotheses and support burden

At an illustrative AUD 5,000 data-law assessment and 20 specialist hours at an assumed AUD 180/hour, AUD 1,400 remains before support, sales and overhead. At an illustrative AUD 8,000 allocation integration and 30 hours, AUD 2,600 remains; 45 hours exceed that fee. These are assumptions for a pricing experiment, not observed quotes or profitability.

Subscription revenue requires recurring value and low support effort. An AUD 1,000 monthly account with five support hours at AUD 180/hour leaves AUD 100 before hosting or sales. Do not count overlapping registry, model, data and allocation modules as separate customers. A bounded consulting integration may be the better initial earning test, but no outreach or paid pilot has occurred.

Concrete next work

The existing-solver adapter now certifies a public 34-vertex social graph and two generated fixtures; this establishes technical integration, not customer value. The exact count reference also has a forced-edge example. Next choose a realistic public planning-shaped workload and record mandatory model constraints, before testing whether those reports improve a decision. Use one public fixed-margin workload to demonstrate the law/constraint report. Enrich source locations in the shared evidence registry. Continue practical-constant review of matching counts, graph sampling, thin trees and spectral constructors; meaningful exclusions should change the ranking rather than being hidden behind the headline theorem.

New graph assurance modules

Graph sampling now has exact small-fiber controls for host disconnection and accepted-event bias. Thin-tree auditing checks every cut and exposes a fundamental-cut-only error. Spectral acceptance remains distinct from a literal constructor tracking millions of signed parameter points. These findings strengthen one shared graph/model assurance workflow and defer unbenchmarked production constructor claims. Detailed evidence.

The new graph-chain evidence report has ten curated contracts and one illustrative claim with nine documentary gaps. This is local integration evidence, not an expert/customer comparison. A graph-method project priced hypothetically at AUD 6,000 with 20 specialist hours at AUD 180 leaves AUD 2,400 before sales, support and overhead; 35 hours exceed the fee. The finite tree audit's illustrative AUD 8,000/35-hour project leaves AUD 1,700 on the same labor assumption. Neither is an observed price or profitable engagement. Do not count overlapping graph, registry and model modules as independent customers.

Prioritize one realistic public analytical or planning workflow and measurable decision improvement. Continue constructor review where a concrete workload warrants it. Full proof verification, numerical constructor thresholds and the ten-claim expert benchmark remain open; finite reference programs do not replace those objectives.

Movement and transport readiness

The source's uniform k-server implementation activates at 2^T_P-1, and its unrestricted finite additive loss absorbs first-label startup movement. Defer a literal policy backend pending useful finite construction/latency measurements. A bounded exact replay module can already explain whether a claimed guarantee matters within a deployment horizon. The saved 30-request example has startup cost 30 versus offline optimum 2.

Transport now has an exact three-atom rational-geometry benchmark and an explicit cube-domain constant from the paper. This makes a solver sensitivity/assumption report more concrete, but a real numerical adapter, discretization bridge and actionable buyer workflow remain pending. The general theorem is independently unverified.

The logspace equality target covers language classes, while the compiler numerical bounds are a separate paper-level claim. Their deliberately loose displayed parameters have enormous values; no actual compiler/library execution or runtime lower bound is inferred. A production compiler-speedup product is deferred. This strengthens the feasibility/semantic workbench within the shared evidence platform.

At that earlier review stage there were twenty utilities and thirteen documentary contracts. Source-level review of 65 declared entries across all ten queued interfaces found no intended-model mismatch in that selection; it does not verify the proof or imported dependencies. Detailed evidence, movement dossier, transport dossier, feasibility dossier.

Keep one assurance platform as the leading business hypothesis. At an illustrative AUD 6,000 movement assessment and 25 assumed specialist hours at AUD 180/hour, AUD 1,500 remains before other costs; 35 hours exceed the fee. These are pricing experiments, not observed revenue. Avoid adding overlapping modules as independent customers. The next value test remains ten selected operational claims reviewed by an expert with and without the report; it has not happened.

Fourier and algebra additions

The Fourier audit makes a scientific discretization claim concrete by exposing a phantom coefficient from grid aliasing. This is a stronger assurance-component hypothesis than a source-blowup solver claim. The new algebra dossier has an exact basis/witness reference but low commercial confidence: Sage already supplies the underlying calculations, specialist budgets may be small and a recurring review decision has not been shown. Keep it below the shared evidence platform and operational data/allocation adapters.

Neither new reference is the source's broad construction or a demonstrated commercial advantage. Those twenty utilities had finite tests; profitability, expert usefulness, full proof checks and practical unrestricted backends remain open. New operational analysis, algebra dossier, scientific dossier.

Review experiment readiness

Ten concrete local scenarios are now prepared with pinned source pointers, reproducible documentary reports and separate answer expectations. The two complete controls use deliberately synthetic statuses and grant no certification. All thirteen contracts have exact file pointers; precise section/line and full proof review remain separate work. Prepared packet, pilot specification.

The expert comparison and actual commercial validation remain pending. This packet makes a proposed value test reviewable; it does not show that a report is accurate, faster than current practice or worth a fee. Continue source and realistic numerical integration work without inventing reviewer results or contacting anyone without authorization.

New permutation framework decision

The source offers an interesting local-query design for approximately uniform permutations, but a short seed cannot preserve its statistical full-law guarantee on large domains. Keep the candidate as a sparse-access framework hypothesis with distinct fair-bit and seeded provider models. Reject a blanket source-guaranteed small-seed data-loader promise; defer production claims until actual costs and batching are compared with existing tools.

The sparse 63-bit deterministic fixture demonstrates replay only. A fair-bit cache can erase savings on full-domain workloads, and cycle restriction loses worst-case logarithmic access. Test one realistic sparse query/resume task before pricing a framework. There are now 40 dossiers, 21 utilities and fourteen documentary contracts. New dossier, detailed limits. No buyer, source-proof or production data-loader result has been obtained.

Provider implementation and storage rejection

There are now 22 runnable utilities, 40 dossiers and fourteen documentary contracts. The latest permutation provider demonstrates decimal-wire, immutable-plan, local process and restart behavior with distinct seeded and stored-bit models. The generated 256-slot JSON store consumes more bytes than a packed index array even after sixteen sparse points; reject a blanket memory-saving pitch for this backend. A compact backend and real sparse workload could still justify a narrow adapter, but that value has not been shown. The current source proof has not yielded a usable universal numerical sweep threshold.

Keep the shared evidence/model-assurance business first. Do not price a new permutation subscription from a query-depth theorem or count another overlapping adapter as a separate customer. All earlier AUD figures remain hypotheses; no quote, interview, deployment or paid pilot has been obtained. Provider and constant limits, revised dossier.

Quantitative finite calibration

There are now 23 runnable utilities and 2,651 passed checks in 28 component reports. An exact two/four-slot palindrome matrix gives a finite numerical contraction witness and conservative schedules, while the source universal witness and practical random backend remain open. The ranking stays unchanged: first validate the evidence/model-assurance workflow, and require real sparse task/provider costs before pricing a permutation adapter. A bounded mathematical witness is useful evidence infrastructure, not demonstrated customer revenue. Numerical limits, current dossier.

Public aggregate workflow and new flow candidate

The public event-law report now makes one data-assurance workflow concrete, with a documented threshold classification change under law substitution. It remains a teaching/model example rather than customer evidence. Explicit bound conditioning and failure statuses are tested; live SciPy/R agreement and recurring review value remain open.

New dossier 041 concerns bounded integer-flow configuration/law analysis. The paper corollary extends capped-table counting to directed multigraph arc vectors, but the implemented exact reduction already exceeds its finite domain on a modest public planning model. Existing NetworkX solves the original feasibility/optimization layer. Keep a bounded model/law diagnostic within the shared platform; defer a production unrestricted sampler and reject counts-as-outage-risk or cost-optimal/multicommodity claims without separate evidence.

There are now 41 dossiers, 25 utilities and fifteen documentary contracts. Prices and customer counts remain assumptions. At an illustrative AUD 8,000 flow assessment and 30 specialist hours at AUD 180/hour, AUD 2,600 remains before other costs; 50 hours exceed the fee. Do not add this overlapping module as an independent customer subscription. Data report, new dossier, feasibility.