{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:KPSWJPMSGS2U7VSIEP45POJ5B2","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":"88a6b3017b58fe82f0b8e5b01a747e4d2e3bef186c81bb9264b6ec489005a1ec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-11-07T22:34:05Z","title_canon_sha256":"6013fabd63bb477f5e4b6c67aee46d80e04d95f3d01225abb98b6f733760c769"},"schema_version":"1.0","source":{"id":"1211.1714","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.1714","created_at":"2026-05-18T03:41:12Z"},{"alias_kind":"arxiv_version","alias_value":"1211.1714v2","created_at":"2026-05-18T03:41:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.1714","created_at":"2026-05-18T03:41:12Z"},{"alias_kind":"pith_short_12","alias_value":"KPSWJPMSGS2U","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"KPSWJPMSGS2U7VSI","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"KPSWJPMS","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:fad56f5094a417d1c2ac798030a4921af197e2bc0894fa6d517efa9f3ee4f27d","target":"graph","created_at":"2026-05-18T03:41:12Z","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"},"paper":{"abstract_excerpt":"We call a set $\\mathcal S$ of graphs an \"even subdivison-factor\" of a cubic graph $G$ if $G$ contains a spanning subgraph $H$ such that every component of $H$ has an even number of vertices and is a subdivision of an element of $\\mathcal S$. We show that any set of 2-connected graphs which is an even subdivison-factor of every 3-connected cubic graph, satisfies certain properties. As a consequence, we disprove a conjecture which was stated in an attempt to solve the circuit double cover conjecture.","authors_text":"Arthur Hoffmann-Ostenhof","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-11-07T22:34:05Z","title":"Even Subdivision-Factors of Cubic Graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1714","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:b18c455e8babf18f30b1ea633b7cb6ab2a962b420c682330641974b948921ec3","target":"record","created_at":"2026-05-18T03:41:12Z","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":"88a6b3017b58fe82f0b8e5b01a747e4d2e3bef186c81bb9264b6ec489005a1ec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-11-07T22:34:05Z","title_canon_sha256":"6013fabd63bb477f5e4b6c67aee46d80e04d95f3d01225abb98b6f733760c769"},"schema_version":"1.0","source":{"id":"1211.1714","kind":"arxiv","version":2}},"canonical_sha256":"53e564bd9234b54fd64823f9d7b93d0ebe3239d7b35096f72104d9dfeb3ef192","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53e564bd9234b54fd64823f9d7b93d0ebe3239d7b35096f72104d9dfeb3ef192","first_computed_at":"2026-05-18T03:41:12.048563Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:12.048563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P/ShSg9b0UZL0lSHRz68JrqRAXJGXchA6pMkhF+TxscpxOjdeej1V2sg3Siglo+C75vJi6FCRHsMi1hyNApqDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:12.049027Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.1714","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b18c455e8babf18f30b1ea633b7cb6ab2a962b420c682330641974b948921ec3","sha256:fad56f5094a417d1c2ac798030a4921af197e2bc0894fa6d517efa9f3ee4f27d"],"state_sha256":"cc97c23ffade3652df90bb082b6d732463949df80ef80322564260cb5a015c2c"}