{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:NYEUNPMST4JVZ6RVIMYXBVZWWW","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":"3bc608efd8cdb1fd2aa98a23e47a46a78d4124a59bae3eb9582de2828f260e06","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-02-26T09:55:09Z","title_canon_sha256":"3c9dc8dafba53c94ee54b40bd65542c1588813b2a37545f202e8903e7650d00b"},"schema_version":"1.0","source":{"id":"1502.07484","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.07484","created_at":"2026-05-18T02:26:03Z"},{"alias_kind":"arxiv_version","alias_value":"1502.07484v1","created_at":"2026-05-18T02:26:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.07484","created_at":"2026-05-18T02:26:03Z"},{"alias_kind":"pith_short_12","alias_value":"NYEUNPMST4JV","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"NYEUNPMST4JVZ6RV","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"NYEUNPMS","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:dfb700a75cff657a1affc19e3b11259bb80be6c40e12dcbaa20aebe37aebcbab","target":"graph","created_at":"2026-05-18T02:26:03Z","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":"A wheel is a graph that consists of a chordless cycle of length at least 4 plus a vertex with at least three neighbors on the cycle. It was shown recently that detecting induced wheels is an NP-complete problem. In contrast, it is shown here that graphs that contain no wheel and no antiwheel have a very simple structure and consequently can be recognized in polynomial time.","authors_text":"Fr\\'ed\\'eric Maffray","cross_cats":["cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-02-26T09:55:09Z","title":"Graphs with no induced wheel or antiwheel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.07484","kind":"arxiv","version":1},"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":"sha256:31cbcf11a91480c41ad7869ed989c5c065db07aea0edb8776cf6ad936c27b13e","target":"record","created_at":"2026-05-18T02:26:03Z","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":"3bc608efd8cdb1fd2aa98a23e47a46a78d4124a59bae3eb9582de2828f260e06","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-02-26T09:55:09Z","title_canon_sha256":"3c9dc8dafba53c94ee54b40bd65542c1588813b2a37545f202e8903e7650d00b"},"schema_version":"1.0","source":{"id":"1502.07484","kind":"arxiv","version":1}},"canonical_sha256":"6e0946bd929f135cfa35433170d736b5a824bbc40403492efa6d84980eaf7cb0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e0946bd929f135cfa35433170d736b5a824bbc40403492efa6d84980eaf7cb0","first_computed_at":"2026-05-18T02:26:03.577900Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:03.577900Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fdL0anvvoP1ElwPuFqi4hqPrcfcchS8kBX748r3KbChy+W4oWWliTgOPVz//qUxFQ0h5akcZnYK4rauQSVmrDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:03.578430Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.07484","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31cbcf11a91480c41ad7869ed989c5c065db07aea0edb8776cf6ad936c27b13e","sha256:dfb700a75cff657a1affc19e3b11259bb80be6c40e12dcbaa20aebe37aebcbab"],"state_sha256":"20347ff51203f1de058f28b301f15d1de8aee65f86e78383180df2dd4a520675"}