# Conclusion --- Four of the five challenge claims are supported in substance, with two important corrections: the upper result is Theorem **3.8**, not 3.7, and Theorem 4.5's `Omega(k/D)` lower bound is close but not mathematically matching the `O(M/sqrt(D))` upper rate. The BCE orthogonality, KL/Bregman decomposition, Pinsker bridge, and sequential parent-logit protocol all passed source re-derivation and deterministic population checks. The exact Gaussian hard-instance mechanism reproduced across 992 agent stages; its asymptotic lower-bound tail slope was -0.997767, with a three-seed Monte Carlo tail slope of -0.997742. A Hugging Face T4 Job was attempted but blocked before scheduling by HTTP 402, so the completed evidence is local CPU population quadrature plus Monte Carlo, not an HF GPU run. ## Scope & cost | | This reproduction | Full replication | |---|---|---| | Scope | Exact source audit; population simulation of the paper's Gaussian hard instance; 3-seed MC cross-check | Independent formal proof of the general DAG theorem plus exhaustive adversarial constructions | | Hardware | Local CPU; HF T4 request blocked before scheduling | CPU is sufficient for the theoretical/numerical workload; optional GPU for larger MC | | Compute time | 8.3048 s substantive run | Not specified by paper; proof verification is human/agent time rather than training time | | Cost | $0 local compute; $0 HF charge (Job not created) | Minimal compute cost; no model training required | | Outcome | Core mechanisms reproduced; two wording/citation corrections | General theorem not independently machine-proved | --- ````html
Interactive reproduction poster
```` --- **📦 Artifact** `icml-2026-30204-reproduction/repro-bundle:v0` · reproduction https://huggingface.co/buckets/FloorIsAwake/repro-networked-information-aggregation-binary-classification-artifacts#icml-2026-30204-reproduction/repro-bundle:v0 --- ## Reproduction bundle The versioned artifact `icml-2026-30204-reproduction/repro-bundle:v0` contains the accepted arXiv PDF and TeX source, exact reproduction scripts/config, all raw and aggregate CSV/JSON outputs, the claim-by-claim evidence memo, Trackio page sources, environment metadata, the HF Job failure record, and the complete gate-verified poster (HTML, interactive embed, PDF, PNG, and gate report). A convenience archive is also staged as `icml-2026-30204-repro-bundle.tar.gz`; local SHA-256: `ef4324252697ab531e88335f225ca7e2de418f8aebfbf6775a1829fb4f6c6837`. The archive contains an internal `MANIFEST.sha256` covering 49 payload files. After publication, use the artifact cell's Hugging Face Bucket link to browse or download the bundle. Poster verification: one 24x36 inch page; column spread 2.19 px; footer gap 38.33-40.52 px; preflight/style/measure/strict-polish/final-PDF gates all passed with zero warnings. The final adversarial visual review returned **PUBLISH** after correcting scope language and presentation issues. --- ## Public downloads and collection - Complete artifact dataset: https://huggingface.co/datasets/FloorIsAwake/icml-2026-30204-reproduction-artifacts - Direct bundle download: https://huggingface.co/datasets/FloorIsAwake/icml-2026-30204-reproduction-artifacts/resolve/main/icml-2026-30204-repro-bundle.tar.gz - Print-ready poster PDF: https://huggingface.co/datasets/FloorIsAwake/icml-2026-30204-reproduction-artifacts/resolve/main/poster.pdf - Collection containing the paper, Trackio logbook, and artifact dataset: https://huggingface.co/collections/FloorIsAwake/icml-2026-30204-reproduction-6a58d4c05df9bb6b5f7a19ba Verified bundle SHA-256: `ef4324252697ab531e88335f225ca7e2de418f8aebfbf6775a1829fb4f6c6837`.