{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:FRQDESCOWMWY5UOKV5ECWMS4JB","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":"ffbffe95d7c6455a0099dfb1fa9bf6c0e4ccb03724d64c8254fc31b0d64e52e0","cross_cats_sorted":["math.AC"],"license":"","primary_cat":"math.AG","submitted_at":"2005-11-10T18:33:52Z","title_canon_sha256":"ea419cc540315db2d4e2a1d924755f9498e9c81b9c3e862b0568fe00c0d98957"},"schema_version":"1.0","source":{"id":"math/0511279","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0511279","created_at":"2026-07-04T14:51:41Z"},{"alias_kind":"arxiv_version","alias_value":"math/0511279v1","created_at":"2026-07-04T14:51:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0511279","created_at":"2026-07-04T14:51:41Z"},{"alias_kind":"pith_short_12","alias_value":"FRQDESCOWMWY","created_at":"2026-07-04T14:51:41Z"},{"alias_kind":"pith_short_16","alias_value":"FRQDESCOWMWY5UOK","created_at":"2026-07-04T14:51:41Z"},{"alias_kind":"pith_short_8","alias_value":"FRQDESCO","created_at":"2026-07-04T14:51:41Z"}],"graph_snapshots":[{"event_id":"sha256:ce8df47049e80d46f7bcc9e06b09fdea3b7f9f48a09a12ad81e4e8ece4e56a85","target":"graph","created_at":"2026-07-04T14:51:41Z","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/math/0511279/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"New updated edition by Yves Laszlo of the book ``Cohomologie locale des faisceaux coh\\'erents et th\\'eor\\`emes de Lefschetz locaux et globaux (SGA 2)'', Advanced Studies in Pure Mathematics 2, North-Holland Publishing Company - Amsterdam, 1968. Published by the Societe Mathematique de France http://smf.emath.fr/Publications/DocumentsMathematiques/ Original text also available in the LaTeX file.\n  Dans cet ouvrage, on montre des th\\'eor\\`emes d'alg\\'ebrisation et de puret\\'e qui permettent d'obtenir des th\\'eor\\`emes de type Lefschetz pour le groupe fondamental ou de Picard.\n  In this monograph","authors_text":"Alexander Grothendieck (IHES, Bures), Michele Raynaud (Univ. Tours)","cross_cats":["math.AC"],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2005-11-10T18:33:52Z","title":"Cohomologie locale des faisceaux coh\\'erents et th\\'eor\\`emes de Lefschetz locaux et globaux (SGA 2)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0511279","kind":"arxiv","version":1},"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":"sha256:164a6f0bdf95561188d178622c114e384001baf73e69f2d6447f239cf1651339","target":"record","created_at":"2026-07-04T14:51:41Z","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":"ffbffe95d7c6455a0099dfb1fa9bf6c0e4ccb03724d64c8254fc31b0d64e52e0","cross_cats_sorted":["math.AC"],"license":"","primary_cat":"math.AG","submitted_at":"2005-11-10T18:33:52Z","title_canon_sha256":"ea419cc540315db2d4e2a1d924755f9498e9c81b9c3e862b0568fe00c0d98957"},"schema_version":"1.0","source":{"id":"math/0511279","kind":"arxiv","version":1}},"canonical_sha256":"2c6032484eb32d8ed1caaf482b325c484417b54ec94df861c6ebc9cca99031d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c6032484eb32d8ed1caaf482b325c484417b54ec94df861c6ebc9cca99031d8","first_computed_at":"2026-07-04T14:51:41.369794Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:51:41.369794Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"texOp9woypVeWvTj1ggypG7vSbKsbDXIRE7ZXCd2QWaoCqaXn4iaOReEF/524puD7UWUyfxfA52MOyS9lBbbAA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:51:41.370211Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0511279","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:164a6f0bdf95561188d178622c114e384001baf73e69f2d6447f239cf1651339","sha256:ce8df47049e80d46f7bcc9e06b09fdea3b7f9f48a09a12ad81e4e8ece4e56a85"],"state_sha256":"3a676e18077ce2a3754d39209a613ce06d362fdb0b7f777319651b2616bc1f10"}