{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:NWAIAL3SW7GCQY7VKIY6NH4A5K","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":"5247a9a2845b0dcaa07505164807441a7aedf662e8bf77b8751c3674036fa084","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-10-28T04:32:15Z","title_canon_sha256":"f36ebaa94d3f622ea724c52a793afd18d30aadbb161373089f04ddfe8258ea96"},"schema_version":"1.0","source":{"id":"1310.7313","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.7313","created_at":"2026-05-18T03:08:45Z"},{"alias_kind":"arxiv_version","alias_value":"1310.7313v1","created_at":"2026-05-18T03:08:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.7313","created_at":"2026-05-18T03:08:45Z"},{"alias_kind":"pith_short_12","alias_value":"NWAIAL3SW7GC","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NWAIAL3SW7GCQY7V","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NWAIAL3S","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:382ae2ba5e43172219639423186742c24d446f7eeccb54ed3d5b0d50c61fcf5e","target":"graph","created_at":"2026-05-18T03:08:45Z","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 give some properties of skew spectrum of a graph, especially, we answer negatively a problem concerning the skew characteristic polynomial and matching polynomial in [M. Cavers et al., Skew-adjacency matrices of graphs, Linear Algebra Appl. 436 (2012)\n  4512--4529].","authors_text":"Bo Zhou, Yanna Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-10-28T04:32:15Z","title":"A note on skew spectrum of graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.7313","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:fa5f81514eb1ff035963d167716c5cd9fcc72f1a039aa3e7a35c93f015c66b48","target":"record","created_at":"2026-05-18T03:08:45Z","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":"5247a9a2845b0dcaa07505164807441a7aedf662e8bf77b8751c3674036fa084","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-10-28T04:32:15Z","title_canon_sha256":"f36ebaa94d3f622ea724c52a793afd18d30aadbb161373089f04ddfe8258ea96"},"schema_version":"1.0","source":{"id":"1310.7313","kind":"arxiv","version":1}},"canonical_sha256":"6d80802f72b7cc2863f55231e69f80ea933543baee0a3546ca0d9cfdf5149426","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d80802f72b7cc2863f55231e69f80ea933543baee0a3546ca0d9cfdf5149426","first_computed_at":"2026-05-18T03:08:45.699010Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:45.699010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Un22/K3h51viQgiPhY+YKj5B+DFW+Vi7Vesip+/YpOgIfScE/Z7PBePT+f8cw5sxmGePPZFzjMhVAoHyiX1jDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:45.699478Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.7313","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa5f81514eb1ff035963d167716c5cd9fcc72f1a039aa3e7a35c93f015c66b48","sha256:382ae2ba5e43172219639423186742c24d446f7eeccb54ed3d5b0d50c61fcf5e"],"state_sha256":"17e4bd85086b44ee5c029910f9e013a906dd4de039c63b58a1b70a1603f20905"}