{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:XALO56ARKHAFI3BHBULXEOHQMA","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":"46a4f5786e7f8495f58a24fa49f37182a5ac43e65014e45a081cdb16ddd652b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-01-21T18:23:51Z","title_canon_sha256":"e6457cebbefeb83ed5dce95b046a5aae4672fb44df259a5ba94f1df883226bf3"},"schema_version":"1.0","source":{"id":"1301.4946","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.4946","created_at":"2026-05-18T02:38:17Z"},{"alias_kind":"arxiv_version","alias_value":"1301.4946v6","created_at":"2026-05-18T02:38:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.4946","created_at":"2026-05-18T02:38:17Z"},{"alias_kind":"pith_short_12","alias_value":"XALO56ARKHAF","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XALO56ARKHAFI3BH","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XALO56AR","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:f9eb6976551ddb625ec8ef5fd5083943ff3ea2c6284524df92961f8b1b051b62","target":"graph","created_at":"2026-05-18T02:38:17Z","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 introduce a binary matroid M(IAS(G)) associated with a looped simple graph G. M(IAS(G)) classifies G up to local equivalence, and determines the delta-matroid and isotropic system associated with G. Moreover, a parametrized form of its Tutte polynomial yields the interlace polynomials of G.","authors_text":"Lorenzo Traldi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-01-21T18:23:51Z","title":"Binary matroids and local complementation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.4946","kind":"arxiv","version":6},"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:f56f98091ea16e6753925faa1d36b3d89f0b51590662dcda79bdbfe9f9a6b357","target":"record","created_at":"2026-05-18T02:38:17Z","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":"46a4f5786e7f8495f58a24fa49f37182a5ac43e65014e45a081cdb16ddd652b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-01-21T18:23:51Z","title_canon_sha256":"e6457cebbefeb83ed5dce95b046a5aae4672fb44df259a5ba94f1df883226bf3"},"schema_version":"1.0","source":{"id":"1301.4946","kind":"arxiv","version":6}},"canonical_sha256":"b816eef81151c0546c270d177238f06034cbc83f0032536c175d91726f68a6ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b816eef81151c0546c270d177238f06034cbc83f0032536c175d91726f68a6ff","first_computed_at":"2026-05-18T02:38:17.378138Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:17.378138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q8G6BW4AFi7fgTXHhNE3uQjIMBnHzHI/SHdEi/jm2VlzLTXthwiNkPfebESm8RQUYKBJUo89YgK473TS50y/AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:17.378877Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.4946","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f56f98091ea16e6753925faa1d36b3d89f0b51590662dcda79bdbfe9f9a6b357","sha256:f9eb6976551ddb625ec8ef5fd5083943ff3ea2c6284524df92961f8b1b051b62"],"state_sha256":"cfb4d4f179695a6e86812cda03e35f32b6b2d747e23a60a32dd0b06fe3a6e0f9"}