{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:QGBK27FATOF3X6XW7XPT5UEY2P","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"a3001ab690df4dd24c7f7374daf80b9e4346e08ada9cf6080304615680849dca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2023-02-25T22:03:30Z","title_canon_sha256":"758c98b85f35de27600d2367dff3de738cbd1833d806234e5e0b4e1eeb2bd99f"},"schema_version":"1.0","source":{"id":"2302.13175","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.13175","created_at":"2026-07-05T08:58:39Z"},{"alias_kind":"arxiv_version","alias_value":"2302.13175v2","created_at":"2026-07-05T08:58:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.13175","created_at":"2026-07-05T08:58:39Z"},{"alias_kind":"pith_short_12","alias_value":"QGBK27FATOF3","created_at":"2026-07-05T08:58:39Z"},{"alias_kind":"pith_short_16","alias_value":"QGBK27FATOF3X6XW","created_at":"2026-07-05T08:58:39Z"},{"alias_kind":"pith_short_8","alias_value":"QGBK27FA","created_at":"2026-07-05T08:58:39Z"}],"graph_snapshots":[{"event_id":"sha256:981f18f4e7f78be5fc547720bf6338aad4f1527d052618f6860ea71b1322b298","target":"graph","created_at":"2026-07-05T08:58:39Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2302.13175/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We describe an implementation of a computer search for the \"small\" excluded minors for a class of matroids representable over a partial field. Using these techniques, we enumerate the excluded minors on at most 15 elements for both the class of dyadic matroids, and the class of 2-regular matroids. We conjecture that there are no other excluded minors for the class of 2-regular matroids; whereas, on the other hand, we show that there is a 16-element excluded minor for the class of dyadic matroids.","authors_text":"Nick Brettell, Rudi Pendavingh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2023-02-25T22:03:30Z","title":"Computing excluded minors for classes of matroids representable over partial fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.13175","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:021653ebb045fbcb7e951094fa1cc5f2f6b585c14966b925660ebc8a9d54e09a","target":"record","created_at":"2026-07-05T08:58:39Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"a3001ab690df4dd24c7f7374daf80b9e4346e08ada9cf6080304615680849dca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2023-02-25T22:03:30Z","title_canon_sha256":"758c98b85f35de27600d2367dff3de738cbd1833d806234e5e0b4e1eeb2bd99f"},"schema_version":"1.0","source":{"id":"2302.13175","kind":"arxiv","version":2}},"canonical_sha256":"8182ad7ca09b8bbbfaf6fddf3ed098d3e05d6cd54103f9bc7d243e0269f6b178","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8182ad7ca09b8bbbfaf6fddf3ed098d3e05d6cd54103f9bc7d243e0269f6b178","first_computed_at":"2026-07-05T08:58:39.554001Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:58:39.554001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GwNmsXwCyLtBNKMw/Cjwvy2DGLyF3GMRtD2JOrb0IREeyWLPBWGbbAJxmQ2nNRN5lOgKHRlIJoJpbZbt+gqBAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:58:39.554450Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.13175","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:021653ebb045fbcb7e951094fa1cc5f2f6b585c14966b925660ebc8a9d54e09a","sha256:981f18f4e7f78be5fc547720bf6338aad4f1527d052618f6860ea71b1322b298"],"state_sha256":"77518c9c41b4a714ceb63b2f6b3353386be9777dfb6726b1d0503a9a74a65cc5"}