{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:HAJ5AIGDTTBLFWUWDWHZDYKHK7","short_pith_number":"pith:HAJ5AIGD","schema_version":"1.0","canonical_sha256":"3813d020c39cc2b2da961d8f91e14757ec2b599d5983d93535ec85ea0f0071cb","source":{"kind":"arxiv","id":"math/0703258","version":2},"attestation_state":"computed","paper":{"title":"Arithmetical ranks of Stanley-Reisner ideals via linear algebra","license":"","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Margherita Barile","submitted_at":"2007-03-09T12:51:34Z","abstract_excerpt":"We present some examples of squarefree monomial ideals whose arithmetical rank can be computed using linear algebraic considerations."},"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":"math/0703258","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.AC","submitted_at":"2007-03-09T12:51:34Z","cross_cats_sorted":[],"title_canon_sha256":"b86a04cbea91720c5d41b1adfeff466d24ff225b54e0cb61bd435bf46df192d1","abstract_canon_sha256":"cf7fbd05bf2c6ecf5b844052dfa2d74b492a2dc8b4f2cec5534b257ec18c1652"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:52.853881Z","signature_b64":"55Xk54g/0kNvxxtWyIf3DXAYYvZmDBZ7IjyZ+Yy+3nwrDd9p9YvdwFgFnrzVg9Wo0k6CPK2fAUVQEQB2aX4uDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3813d020c39cc2b2da961d8f91e14757ec2b599d5983d93535ec85ea0f0071cb","last_reissued_at":"2026-05-18T04:08:52.853451Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:52.853451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Arithmetical ranks of Stanley-Reisner ideals via linear algebra","license":"","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Margherita Barile","submitted_at":"2007-03-09T12:51:34Z","abstract_excerpt":"We present some examples of squarefree monomial ideals whose arithmetical rank can be computed using linear algebraic considerations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0703258","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":"math/0703258","created_at":"2026-05-18T04:08:52.853513+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0703258v2","created_at":"2026-05-18T04:08:52.853513+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0703258","created_at":"2026-05-18T04:08:52.853513+00:00"},{"alias_kind":"pith_short_12","alias_value":"HAJ5AIGDTTBL","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"HAJ5AIGDTTBLFWUW","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"HAJ5AIGD","created_at":"2026-05-18T12:25:55.427421+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/HAJ5AIGDTTBLFWUWDWHZDYKHK7","json":"https://pith.science/pith/HAJ5AIGDTTBLFWUWDWHZDYKHK7.json","graph_json":"https://pith.science/api/pith-number/HAJ5AIGDTTBLFWUWDWHZDYKHK7/graph.json","events_json":"https://pith.science/api/pith-number/HAJ5AIGDTTBLFWUWDWHZDYKHK7/events.json","paper":"https://pith.science/paper/HAJ5AIGD"},"agent_actions":{"view_html":"https://pith.science/pith/HAJ5AIGDTTBLFWUWDWHZDYKHK7","download_json":"https://pith.science/pith/HAJ5AIGDTTBLFWUWDWHZDYKHK7.json","view_paper":"https://pith.science/paper/HAJ5AIGD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0703258&json=true","fetch_graph":"https://pith.science/api/pith-number/HAJ5AIGDTTBLFWUWDWHZDYKHK7/graph.json","fetch_events":"https://pith.science/api/pith-number/HAJ5AIGDTTBLFWUWDWHZDYKHK7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HAJ5AIGDTTBLFWUWDWHZDYKHK7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HAJ5AIGDTTBLFWUWDWHZDYKHK7/action/storage_attestation","attest_author":"https://pith.science/pith/HAJ5AIGDTTBLFWUWDWHZDYKHK7/action/author_attestation","sign_citation":"https://pith.science/pith/HAJ5AIGDTTBLFWUWDWHZDYKHK7/action/citation_signature","submit_replication":"https://pith.science/pith/HAJ5AIGDTTBLFWUWDWHZDYKHK7/action/replication_record"}},"created_at":"2026-05-18T04:08:52.853513+00:00","updated_at":"2026-05-18T04:08:52.853513+00:00"}