{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:ZWSJCVRVAFPBMPLHNUXF2SMICA","short_pith_number":"pith:ZWSJCVRV","schema_version":"1.0","canonical_sha256":"cda4915635015e163d676d2e5d4988101651b32d66f5587bfabcef2006215ed8","source":{"kind":"arxiv","id":"1603.00186","version":1},"attestation_state":"computed","paper":{"title":"Canonical modules of complexes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Eero Hyry, Maryam Akhavin","submitted_at":"2016-03-01T08:55:53Z","abstract_excerpt":"We define the notion of the canonical module of a complex. We then consider Serre's conditions for a complex and study their relationship to the local cohomology of the canonical module and its ring of endomorphisms."},"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":"1603.00186","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2016-03-01T08:55:53Z","cross_cats_sorted":[],"title_canon_sha256":"785c802433799adbf14427f5b583d23fd98e0a7917d5d68a52003154d0c51b87","abstract_canon_sha256":"9388323ea60460691e776229e7e24255bddcf4b19b41b4077e10e1c8db032272"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:49.041853Z","signature_b64":"xq1R+8AleUpvpDheLMVsvHi1obhZMP4RJQ30ADtx7OEeYuT/7EnQ7qvRTORoEvsMJVN/wcxqVs6DGWmR8aDfBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cda4915635015e163d676d2e5d4988101651b32d66f5587bfabcef2006215ed8","last_reissued_at":"2026-05-18T01:19:49.041435Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:49.041435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Canonical modules of complexes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Eero Hyry, Maryam Akhavin","submitted_at":"2016-03-01T08:55:53Z","abstract_excerpt":"We define the notion of the canonical module of a complex. We then consider Serre's conditions for a complex and study their relationship to the local cohomology of the canonical module and its ring of endomorphisms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.00186","kind":"arxiv","version":1},"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":"1603.00186","created_at":"2026-05-18T01:19:49.041501+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.00186v1","created_at":"2026-05-18T01:19:49.041501+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.00186","created_at":"2026-05-18T01:19:49.041501+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZWSJCVRVAFPB","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZWSJCVRVAFPBMPLH","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZWSJCVRV","created_at":"2026-05-18T12:30:55.937587+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/ZWSJCVRVAFPBMPLHNUXF2SMICA","json":"https://pith.science/pith/ZWSJCVRVAFPBMPLHNUXF2SMICA.json","graph_json":"https://pith.science/api/pith-number/ZWSJCVRVAFPBMPLHNUXF2SMICA/graph.json","events_json":"https://pith.science/api/pith-number/ZWSJCVRVAFPBMPLHNUXF2SMICA/events.json","paper":"https://pith.science/paper/ZWSJCVRV"},"agent_actions":{"view_html":"https://pith.science/pith/ZWSJCVRVAFPBMPLHNUXF2SMICA","download_json":"https://pith.science/pith/ZWSJCVRVAFPBMPLHNUXF2SMICA.json","view_paper":"https://pith.science/paper/ZWSJCVRV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.00186&json=true","fetch_graph":"https://pith.science/api/pith-number/ZWSJCVRVAFPBMPLHNUXF2SMICA/graph.json","fetch_events":"https://pith.science/api/pith-number/ZWSJCVRVAFPBMPLHNUXF2SMICA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZWSJCVRVAFPBMPLHNUXF2SMICA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZWSJCVRVAFPBMPLHNUXF2SMICA/action/storage_attestation","attest_author":"https://pith.science/pith/ZWSJCVRVAFPBMPLHNUXF2SMICA/action/author_attestation","sign_citation":"https://pith.science/pith/ZWSJCVRVAFPBMPLHNUXF2SMICA/action/citation_signature","submit_replication":"https://pith.science/pith/ZWSJCVRVAFPBMPLHNUXF2SMICA/action/replication_record"}},"created_at":"2026-05-18T01:19:49.041501+00:00","updated_at":"2026-05-18T01:19:49.041501+00:00"}