{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:PCBI3D32LD3HW72WZPWGDFR7BK","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":"c107dde42d9133e632e45dec1499b53f5bd9c1fdf0f44ab63932685001698919","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2024-02-04T13:38:55Z","title_canon_sha256":"e9722e6adaaf0a0abc505670def8e9b64e007f5c0aa5941df219bea52d93ad0a"},"schema_version":"1.0","source":{"id":"2402.02492","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.02492","created_at":"2026-07-05T11:09:57Z"},{"alias_kind":"arxiv_version","alias_value":"2402.02492v3","created_at":"2026-07-05T11:09:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.02492","created_at":"2026-07-05T11:09:57Z"},{"alias_kind":"pith_short_12","alias_value":"PCBI3D32LD3H","created_at":"2026-07-05T11:09:57Z"},{"alias_kind":"pith_short_16","alias_value":"PCBI3D32LD3HW72W","created_at":"2026-07-05T11:09:57Z"},{"alias_kind":"pith_short_8","alias_value":"PCBI3D32","created_at":"2026-07-05T11:09:57Z"}],"graph_snapshots":[{"event_id":"sha256:4bad0b365c9a94cb025db6b2bf565cba28ff3890ebc7ac90be67ee15e3e50020","target":"graph","created_at":"2026-07-05T11:09:57Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2402.02492/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct cohomology theories for $(\\varphi, \\tau)$-modules, and study their relation with cohomology of $(\\varphi, \\Gamma)$-modules, as well as Galois cohomology. Our method is axiomatic, and can treat the \\'etale case, the overconvergent case, and the rigid-overconvergent case simultaneously. We use recent advances in locally analytic cohomology as a key ingredient.","authors_text":"Hui Gao, Luming Zhao","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2024-02-04T13:38:55Z","title":"Cohomology of $(\\varphi, \\tau)$-modules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.02492","kind":"arxiv","version":3},"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":"sha256:8a050b23e30d2e33d39976ca8f829de1db567fcdce121fd95c1339dc89e28201","target":"record","created_at":"2026-07-05T11:09:57Z","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":"c107dde42d9133e632e45dec1499b53f5bd9c1fdf0f44ab63932685001698919","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2024-02-04T13:38:55Z","title_canon_sha256":"e9722e6adaaf0a0abc505670def8e9b64e007f5c0aa5941df219bea52d93ad0a"},"schema_version":"1.0","source":{"id":"2402.02492","kind":"arxiv","version":3}},"canonical_sha256":"78828d8f7a58f67b7f56cbec61963f0abdb8060391620ae22db3ade93c77923b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"78828d8f7a58f67b7f56cbec61963f0abdb8060391620ae22db3ade93c77923b","first_computed_at":"2026-07-05T11:09:57.771379Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:09:57.771379Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AP8awjvj2eEWHnLIT0u7X9SmYTIqaWKB1vcEgIK3kNGTOQoYh8tYSUqwwczzJJFLbEmY/m6czsoIR0VJKlp+CA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:09:57.771892Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.02492","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a050b23e30d2e33d39976ca8f829de1db567fcdce121fd95c1339dc89e28201","sha256:4bad0b365c9a94cb025db6b2bf565cba28ff3890ebc7ac90be67ee15e3e50020"],"state_sha256":"de570dfb3d373e28cacb5413023afe1ff94d1ae21e5b4df8fe5dfb11b397db84"}