{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:27KFXQJH7IEVSITZZT6QG2CFSI","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":"33f094bffb1bc249da82a1689bbe90802581bb2c8f9753b604ff85d4bc83ce7a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-06-23T15:37:39Z","title_canon_sha256":"94fa9baafe80c08feec1d95a43de2fe3367074675693707902ab7fbb39a716da"},"schema_version":"1.0","source":{"id":"1506.07052","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.07052","created_at":"2026-05-18T01:20:06Z"},{"alias_kind":"arxiv_version","alias_value":"1506.07052v4","created_at":"2026-05-18T01:20:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07052","created_at":"2026-05-18T01:20:06Z"},{"alias_kind":"pith_short_12","alias_value":"27KFXQJH7IEV","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"27KFXQJH7IEVSITZ","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"27KFXQJH","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:6f22d5b471a3c946f311ffe1f25096db337878db61d20efb81ac270e56f38721","target":"graph","created_at":"2026-05-18T01:20:06Z","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 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.","authors_text":"Richard Wicklein, Sean Sather-Wagstaff","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-06-23T15:37:39Z","title":"Adic semidualizing complexes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07052","kind":"arxiv","version":4},"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:eba9b2ae662241f4790fd7ab884a36c11e4adb5ff8bd65c652d94961b1e134fc","target":"record","created_at":"2026-05-18T01:20:06Z","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":"33f094bffb1bc249da82a1689bbe90802581bb2c8f9753b604ff85d4bc83ce7a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-06-23T15:37:39Z","title_canon_sha256":"94fa9baafe80c08feec1d95a43de2fe3367074675693707902ab7fbb39a716da"},"schema_version":"1.0","source":{"id":"1506.07052","kind":"arxiv","version":4}},"canonical_sha256":"d7d45bc127fa09592279ccfd036845921cb8cff5014f8318af529255bf822345","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7d45bc127fa09592279ccfd036845921cb8cff5014f8318af529255bf822345","first_computed_at":"2026-05-18T01:20:06.477516Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:06.477516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LjHpUrGYZG6oEhbmUp8QqMNfDNdhQBLFcjpPcAUomGq/HmeI72c79mXr8t2CUBWakARwLo0gi7ViquqMpuOLAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:06.478189Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.07052","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eba9b2ae662241f4790fd7ab884a36c11e4adb5ff8bd65c652d94961b1e134fc","sha256:6f22d5b471a3c946f311ffe1f25096db337878db61d20efb81ac270e56f38721"],"state_sha256":"1438bbdd7cd83af70e369c3269cb6606f2f14db4039a3ecffd4238ac877d9d93"}