{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:XEKWA7O5JW4F34ZWYZZEGZXECA","short_pith_number":"pith:XEKWA7O5","schema_version":"1.0","canonical_sha256":"b915607ddd4db85df336c6724366e4102a531240cd1fcbacc0874c9915133937","source":{"kind":"arxiv","id":"1310.7912","version":2},"attestation_state":"computed","paper":{"title":"Regularity of squarefree monomial ideals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Huy Tai Ha","submitted_at":"2013-10-29T18:31:30Z","abstract_excerpt":"We survey a number of recent studies of the Castelnuovo-Mumford regularity of squarefree monomial ideals. Our focus is on bounds and exact values for the regularity in terms of combinatorial data from associated simplicial complexes and/or hypergraphs."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1310.7912","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2013-10-29T18:31:30Z","cross_cats_sorted":[],"title_canon_sha256":"3f690c032d128565156c9522200864cdbd507d5bd098992a2b155bdd678c6c63","abstract_canon_sha256":"04a1de356b379344bad0bd5786b62aa4190390e00f4bc3ad4b4ceb88104bfca8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:56.283330Z","signature_b64":"z/akA9RmIgRP7+vteubIOiDai1HsxXHAcAyxESwoIjfXf0vcgpDvSETvVbJxZWE2pG3ch2pOkkF0VCvtjyMQCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b915607ddd4db85df336c6724366e4102a531240cd1fcbacc0874c9915133937","last_reissued_at":"2026-05-18T03:07:56.282631Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:56.282631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Regularity of squarefree monomial ideals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Huy Tai Ha","submitted_at":"2013-10-29T18:31:30Z","abstract_excerpt":"We survey a number of recent studies of the Castelnuovo-Mumford regularity of squarefree monomial ideals. Our focus is on bounds and exact values for the regularity in terms of combinatorial data from associated simplicial complexes and/or hypergraphs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.7912","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1310.7912","created_at":"2026-05-18T03:07:56.282719+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.7912v2","created_at":"2026-05-18T03:07:56.282719+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.7912","created_at":"2026-05-18T03:07:56.282719+00:00"},{"alias_kind":"pith_short_12","alias_value":"XEKWA7O5JW4F","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_16","alias_value":"XEKWA7O5JW4F34ZW","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_8","alias_value":"XEKWA7O5","created_at":"2026-05-18T12:28:06.772260+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XEKWA7O5JW4F34ZWYZZEGZXECA","json":"https://pith.science/pith/XEKWA7O5JW4F34ZWYZZEGZXECA.json","graph_json":"https://pith.science/api/pith-number/XEKWA7O5JW4F34ZWYZZEGZXECA/graph.json","events_json":"https://pith.science/api/pith-number/XEKWA7O5JW4F34ZWYZZEGZXECA/events.json","paper":"https://pith.science/paper/XEKWA7O5"},"agent_actions":{"view_html":"https://pith.science/pith/XEKWA7O5JW4F34ZWYZZEGZXECA","download_json":"https://pith.science/pith/XEKWA7O5JW4F34ZWYZZEGZXECA.json","view_paper":"https://pith.science/paper/XEKWA7O5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.7912&json=true","fetch_graph":"https://pith.science/api/pith-number/XEKWA7O5JW4F34ZWYZZEGZXECA/graph.json","fetch_events":"https://pith.science/api/pith-number/XEKWA7O5JW4F34ZWYZZEGZXECA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XEKWA7O5JW4F34ZWYZZEGZXECA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XEKWA7O5JW4F34ZWYZZEGZXECA/action/storage_attestation","attest_author":"https://pith.science/pith/XEKWA7O5JW4F34ZWYZZEGZXECA/action/author_attestation","sign_citation":"https://pith.science/pith/XEKWA7O5JW4F34ZWYZZEGZXECA/action/citation_signature","submit_replication":"https://pith.science/pith/XEKWA7O5JW4F34ZWYZZEGZXECA/action/replication_record"}},"created_at":"2026-05-18T03:07:56.282719+00:00","updated_at":"2026-05-18T03:07:56.282719+00:00"}