{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:JPEZP5Z75KZPLPU56DERXCOFNA","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":"3abd1c65a6e13be52e60eb272a6698b5b3ef0e7b45416a152d0710df2c7adcb5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-23T11:42:30Z","title_canon_sha256":"d0d7b1257e194326ac182fe0cdd01e0908b5dd3ad38f7c9f4ce69bc4c3ca0efe"},"schema_version":"1.0","source":{"id":"1705.08195","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.08195","created_at":"2026-05-18T00:19:17Z"},{"alias_kind":"arxiv_version","alias_value":"1705.08195v3","created_at":"2026-05-18T00:19:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.08195","created_at":"2026-05-18T00:19:17Z"},{"alias_kind":"pith_short_12","alias_value":"JPEZP5Z75KZP","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"JPEZP5Z75KZPLPU5","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"JPEZP5Z7","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:0074c010ce94eff05a8bf9a626817acad77b50adcd4500a76516014c9c153fdd","target":"graph","created_at":"2026-05-18T00:19:17Z","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 prove the splitting of the Kummer exact sequence and related exact sequences in arithmetic geometry.","authors_text":"Jean Gillibert, Pierre Gillibert","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-23T11:42:30Z","title":"On the splitting of the Kummer exact sequence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.08195","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:ad3ef7f11d798b5bc4d0fb2e990b5ae30975fbdbefdb326a6e4f0ef69509c410","target":"record","created_at":"2026-05-18T00:19:17Z","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":"3abd1c65a6e13be52e60eb272a6698b5b3ef0e7b45416a152d0710df2c7adcb5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-23T11:42:30Z","title_canon_sha256":"d0d7b1257e194326ac182fe0cdd01e0908b5dd3ad38f7c9f4ce69bc4c3ca0efe"},"schema_version":"1.0","source":{"id":"1705.08195","kind":"arxiv","version":3}},"canonical_sha256":"4bc997f73feab2f5be9df0c91b89c56805a0ee69a082505db500b731356e21b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4bc997f73feab2f5be9df0c91b89c56805a0ee69a082505db500b731356e21b5","first_computed_at":"2026-05-18T00:19:17.222218Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:17.222218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mDA/WBrXfLgpZ/zOz8OADUlwdbi/4KWW3bnOnXX0QdiyCRT3c83RLUcLNl8EIO2d5Oui7TZ/TL5LBVkiGiejAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:17.222812Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.08195","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ad3ef7f11d798b5bc4d0fb2e990b5ae30975fbdbefdb326a6e4f0ef69509c410","sha256:0074c010ce94eff05a8bf9a626817acad77b50adcd4500a76516014c9c153fdd"],"state_sha256":"26063176bdbcba5102f30556d3fc5ef464a6bfc7bd9f2acfda71c7122e1a4786"}