{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:27KFXQJH7IEVSITZZT6QG2CFSI","short_pith_number":"pith:27KFXQJH","schema_version":"1.0","canonical_sha256":"d7d45bc127fa09592279ccfd036845921cb8cff5014f8318af529255bf822345","source":{"kind":"arxiv","id":"1506.07052","version":4},"attestation_state":"computed","paper":{"title":"Adic semidualizing complexes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Richard Wicklein, Sean Sather-Wagstaff","submitted_at":"2015-06-23T15:37:39Z","abstract_excerpt":"We introduce and study a class of objects that encompasses Christensen and Foxby's semidualizing modules and complexes and Kubik's quasi-dualizing modules: the class of $\\mathfrak{a}$-adic semidualizing modules and complexes. We give examples and equivalent characterizations of these objects, including a characterization in terms of the more familiar semidualizing property. As an application, we give a proof of the existence of dualizing complexes over complete local rings that does not use the Cohen Structure Theorem."},"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":"1506.07052","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-06-23T15:37:39Z","cross_cats_sorted":[],"title_canon_sha256":"94fa9baafe80c08feec1d95a43de2fe3367074675693707902ab7fbb39a716da","abstract_canon_sha256":"33f094bffb1bc249da82a1689bbe90802581bb2c8f9753b604ff85d4bc83ce7a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:06.478189Z","signature_b64":"LjHpUrGYZG6oEhbmUp8QqMNfDNdhQBLFcjpPcAUomGq/HmeI72c79mXr8t2CUBWakARwLo0gi7ViquqMpuOLAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7d45bc127fa09592279ccfd036845921cb8cff5014f8318af529255bf822345","last_reissued_at":"2026-05-18T01:20:06.477516Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:06.477516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Adic semidualizing complexes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Richard Wicklein, Sean Sather-Wagstaff","submitted_at":"2015-06-23T15:37:39Z","abstract_excerpt":"We introduce and study a class of objects that encompasses Christensen and Foxby's semidualizing modules and complexes and Kubik's quasi-dualizing modules: the class of $\\mathfrak{a}$-adic semidualizing modules and complexes. We give examples and equivalent characterizations of these objects, including a characterization in terms of the more familiar semidualizing property. As an application, we give a proof of the existence of dualizing complexes over complete local rings that does not use the Cohen Structure Theorem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07052","kind":"arxiv","version":4},"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":"1506.07052","created_at":"2026-05-18T01:20:06.477617+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.07052v4","created_at":"2026-05-18T01:20:06.477617+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07052","created_at":"2026-05-18T01:20:06.477617+00:00"},{"alias_kind":"pith_short_12","alias_value":"27KFXQJH7IEV","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_16","alias_value":"27KFXQJH7IEVSITZ","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_8","alias_value":"27KFXQJH","created_at":"2026-05-18T12:28:59.999130+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/27KFXQJH7IEVSITZZT6QG2CFSI","json":"https://pith.science/pith/27KFXQJH7IEVSITZZT6QG2CFSI.json","graph_json":"https://pith.science/api/pith-number/27KFXQJH7IEVSITZZT6QG2CFSI/graph.json","events_json":"https://pith.science/api/pith-number/27KFXQJH7IEVSITZZT6QG2CFSI/events.json","paper":"https://pith.science/paper/27KFXQJH"},"agent_actions":{"view_html":"https://pith.science/pith/27KFXQJH7IEVSITZZT6QG2CFSI","download_json":"https://pith.science/pith/27KFXQJH7IEVSITZZT6QG2CFSI.json","view_paper":"https://pith.science/paper/27KFXQJH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.07052&json=true","fetch_graph":"https://pith.science/api/pith-number/27KFXQJH7IEVSITZZT6QG2CFSI/graph.json","fetch_events":"https://pith.science/api/pith-number/27KFXQJH7IEVSITZZT6QG2CFSI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/27KFXQJH7IEVSITZZT6QG2CFSI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/27KFXQJH7IEVSITZZT6QG2CFSI/action/storage_attestation","attest_author":"https://pith.science/pith/27KFXQJH7IEVSITZZT6QG2CFSI/action/author_attestation","sign_citation":"https://pith.science/pith/27KFXQJH7IEVSITZZT6QG2CFSI/action/citation_signature","submit_replication":"https://pith.science/pith/27KFXQJH7IEVSITZZT6QG2CFSI/action/replication_record"}},"created_at":"2026-05-18T01:20:06.477617+00:00","updated_at":"2026-05-18T01:20:06.477617+00:00"}