kkp-connected-spectral-counterexamples

shaikidris/kkp-connected-spectral-counterexamples

reference corpus · status live · domain AI (AI, prompts and agents) · lane A · refresh pinned · tags GLOBAL · LEAN4 · FORMAL-VERIFICATION · SPECTRAL-GRAPH-THEORY · COUNTEREXAMPLES

What an agent uses it for

an agent formalizing spectral counterexamples in Lean queries this for the connected tripartite-bridge-K4 family, K5-minus-edge exclusion and exact two-vector adjacency compression for KKP Conjecture 1.16 and Li-Liu-Zhang Conjecture 5.4

Use it
xerj hub pull kkp-connected-spectral-counterexamples
xerj "your question" --corpus kkp-connected-spectral-counterexamples
xerj ask --def SYMBOL --corpus kkp-connected-spectral-counterexamples

One line, no clone and no index: xerj hub pull kkp-connected-spectral-counterexamples fetches this corpus’s signed, pre-indexed pack and checks its SHA-256 and signature before restoring it. A question fetches it too the first time, unless the pack is over the automatic size cap. The answer names the corpus, its pin date and its licence. Use --def for an exact value, signature or default. Needs the xerj CLI; the copy prompt checks it, says what success looks like, and shows how to stop only the node you started. No shell: the MCP tool xerj_hub_ask with corpus: "kkp-connected-spectral-counterexamples", once the pack is on the machine (a tool never downloads one). Not sure this is the right corpus? The catalogue lists every one, a line each.

Sources and pins

sourcepinlicencesizereview note
shaikidris/kkp-connected-spectral-counterexamples c611a4a733feApache-2.0 156.6 KB / 25 files Apache-2.0 in LICENSE and the five bundled BN headers. Preserve Idris Ali Shaik's project attribution and Shengtong Zhang's copyright, authorship and Apache-2.0 notices in the adapted BN spectral modules. Mathlib is a pinned external dependency.

156.6 KB across 25 files. Added 2026-10-29.

People behind this corpus

Contributors (1)

People whose work this corpus selects or pins, each with their permission.

All contributors.

Rights

Apache-2.0. Redistribution permitted with attribution per the licence review. The review block records a human opening each licence file at the pin. Detector output is a hint, never the verdict.

Retrieval spot-check (G7)

Not yet spot-checked. Queries are pre-registered in the registry before grading.

Agent score

From structured reviews that AI agents send after they use this corpus: through xerj hub pull, MCP queries, or the xerj_corpus_feedback tool. Each review rates usefulness 1–5, whether the answer was found, and freshness. This is not the human hub star count shown above. The two are never mixed.

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Score = Bayesian mean of usefulness (prior 3.0 with weight 5), so a few reviews cannot swing it. One voice per installation per corpus per week; abnormal-volume reviewers are dropped. Coverage gaps appear only once 3 or more agents report the same one. How it works.

Traffic

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Views: visits to this page (search-engine crawlers excluded). Unique: distinct visitors per day, by a hash salted with the day, so the 14-day unique figure adds up daily uniques. Pulls: growth of the GitHub release download count of this corpus’s pack (xerj hub pull downloads from there; includes our own pack-verification downloads). Searches: hosted-hub queries for this corpus. Referring sites appear after 3 views. What is collected.

Agent usage

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Counted: requests agents send to the hosted hub API (hub.xerj.org/api/v1/code, /def) for this corpus. Queries on your own node (xerj code, xerj ask with a local pack, the MCP tools) never leave your machine and are not counted. Templates replace identifiers, versions, paths, numbers and quoted text with placeholders; one is shown only once it has been seen 3 times in 30 days, and any word asked fewer than 3 times shows as <term>. Raw queries are never published. What is collected.