{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LWK7QC3SFNDYI54QL33JNK7C25","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":"80b15eecee98d10fa724d0f95bd02e4e2d717a4ab4f225bd24b923dd12728f1e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-10-15T16:00:24Z","title_canon_sha256":"a3990f16005268d6c8df3f2b5f0445269775bd8d230b7a543e6e4cf512e97d62"},"schema_version":"1.0","source":{"id":"1210.4086","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.4086","created_at":"2026-05-18T03:40:15Z"},{"alias_kind":"arxiv_version","alias_value":"1210.4086v2","created_at":"2026-05-18T03:40:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.4086","created_at":"2026-05-18T03:40:15Z"},{"alias_kind":"pith_short_12","alias_value":"LWK7QC3SFNDY","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LWK7QC3SFNDYI54Q","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LWK7QC3S","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:bb5f93899354769778187b9abd1574e7fc2f16a427f0d13bd27960f4476edd50","target":"graph","created_at":"2026-05-18T03:40:15Z","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 sketch a quick and dirty geometric approach to the Tate-Swan cohomology of equivariant spectra, illustrating it with conjectural applications to Atiyah-Segal $K$-theory of circle actions, and a possible geometric model for the topological cyclic homology of the sphere spectrum.","authors_text":"Jack Morava","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-10-15T16:00:24Z","title":"Geometric Tate-Swan cohomology of equivariant spectra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.4086","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:a7dc462b0143ec96dc3157917e4276d22ed29210cd7d28fa2c702788254a1722","target":"record","created_at":"2026-05-18T03:40:15Z","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":"80b15eecee98d10fa724d0f95bd02e4e2d717a4ab4f225bd24b923dd12728f1e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-10-15T16:00:24Z","title_canon_sha256":"a3990f16005268d6c8df3f2b5f0445269775bd8d230b7a543e6e4cf512e97d62"},"schema_version":"1.0","source":{"id":"1210.4086","kind":"arxiv","version":2}},"canonical_sha256":"5d95f80b722b478477905ef696abe2d74aa362b43f88cbde362f8cd51fdf3eee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d95f80b722b478477905ef696abe2d74aa362b43f88cbde362f8cd51fdf3eee","first_computed_at":"2026-05-18T03:40:15.784331Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:40:15.784331Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zkk+q3eUXAlOyfcBhmWdL9qVwaotx2yLFHKJfMSXDTKsKxKXnaC0EYVqNU3CmoA9TK2hXsJxJn6hIoe1X1A4Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:40:15.785148Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.4086","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a7dc462b0143ec96dc3157917e4276d22ed29210cd7d28fa2c702788254a1722","sha256:bb5f93899354769778187b9abd1574e7fc2f16a427f0d13bd27960f4476edd50"],"state_sha256":"d53e33cca23cf6c4b9fac49e629bd6b674df009d5051caa06a29f9ca39087f83"}