{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7OCRYYEFHUDXTYWMYOY5NKKDU6","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":"ce3675b5d83d73a860b5a2001da5f55d47cd9ed474a8feca8884d4a4ce0f496f","cross_cats_sorted":["math.AC","math.AT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.KT","submitted_at":"2014-06-09T13:00:54Z","title_canon_sha256":"60bcfdde4cc641172ae1706a22fb8e616edf66deace8c5889fe3cd75f80a2519"},"schema_version":"1.0","source":{"id":"1406.2162","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.2162","created_at":"2026-05-18T01:36:43Z"},{"alias_kind":"arxiv_version","alias_value":"1406.2162v2","created_at":"2026-05-18T01:36:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2162","created_at":"2026-05-18T01:36:43Z"},{"alias_kind":"pith_short_12","alias_value":"7OCRYYEFHUDX","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7OCRYYEFHUDXTYWM","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7OCRYYEF","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:a7772eb879fdcdd104e2754a4583d5881950fa974e858267b4c61a797e38dd31","target":"graph","created_at":"2026-05-18T01:36:43Z","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 consider the Gorenstein condition for topological Hochschild homology, and show that it holds remarkably often. More precisely, if R is a commutative ring spectrum and and R----->k is a ring map to a field of characteristic p then, provided k is small as an R-module, THH(R;k) is Gorenstein in the sense of Dwyer-Greenlees-Iyengar. In particular, this holds if R is a (conventional) regular local ring with residue field k of characteristic p.\n  Using only Bokstedt's calculation of THH(k), this gives a non-calculational proof of dualities observed in calculations by Bokstedt, McClure-Staffeldt,","authors_text":"J. P. C. Greenlees","cross_cats":["math.AC","math.AT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.KT","submitted_at":"2014-06-09T13:00:54Z","title":"Ausoni-Bokstedt duality for topological Hochschild homology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2162","kind":"arxiv","version":2},"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:edbcd1c31dc2cd055ccb417e214b795d6917b352d25c7d5bc0dd4724b43b3995","target":"record","created_at":"2026-05-18T01:36:43Z","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":"ce3675b5d83d73a860b5a2001da5f55d47cd9ed474a8feca8884d4a4ce0f496f","cross_cats_sorted":["math.AC","math.AT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.KT","submitted_at":"2014-06-09T13:00:54Z","title_canon_sha256":"60bcfdde4cc641172ae1706a22fb8e616edf66deace8c5889fe3cd75f80a2519"},"schema_version":"1.0","source":{"id":"1406.2162","kind":"arxiv","version":2}},"canonical_sha256":"fb851c60853d0779e2ccc3b1d6a943a7be765ac8714bf7bebd7cd6c18031cab2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb851c60853d0779e2ccc3b1d6a943a7be765ac8714bf7bebd7cd6c18031cab2","first_computed_at":"2026-05-18T01:36:43.827555Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:43.827555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2RwlmvXy30nBIFw+8Crm5P4O5ef+/pIST6rwhM6mkvfxdFUQyGLm2KWeVRUOF/EjyVaklToraZ1yi+rW8TUOBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:43.828121Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.2162","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:edbcd1c31dc2cd055ccb417e214b795d6917b352d25c7d5bc0dd4724b43b3995","sha256:a7772eb879fdcdd104e2754a4583d5881950fa974e858267b4c61a797e38dd31"],"state_sha256":"06140d2399f2ab3922f9de684b201d1f162e07af3c99a4b275368fb52da06367"}