{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:C5E3OYXNZI744NQ74NZULOG52D","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":"d14ad45b1c5660e5ae18fdfdef09b34152d29190798178730f00971e8eb8a968","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-09-09T22:16:53Z","title_canon_sha256":"7fe96044df835cec86b877d16d7b47c154f30eafb1a386fb47cc07dcc3b1989f"},"schema_version":"1.0","source":{"id":"1009.1900","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.1900","created_at":"2026-05-18T01:04:46Z"},{"alias_kind":"arxiv_version","alias_value":"1009.1900v2","created_at":"2026-05-18T01:04:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.1900","created_at":"2026-05-18T01:04:46Z"},{"alias_kind":"pith_short_12","alias_value":"C5E3OYXNZI74","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"C5E3OYXNZI744NQ7","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"C5E3OYXN","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:bdc60222b6a9c9350ae1ac8fa39d9a627f7cc309a57daa9209d27327729c4ac9","target":"graph","created_at":"2026-05-18T01:04:46Z","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":"This is the final version of the 2007 preprint titled \"On the derived category of 1-motives, I\". It has been substantially expanded to contain a motivic proof of (two thirds of) Deligne's conjecture on 1-motives with rational coefficients, hence the new title. Compared to the 2007 preprint, the additions mainly concern an abstract theory of realisations with weight filtrations; Deligne's conjecture is tackled though them by an adjunction game.","authors_text":"Bruno Kahn, Luca Barbieri-Viale","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-09-09T22:16:53Z","title":"On the derived category of 1-motives"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.1900","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:ea17c820aeb5e3d6d66e49dc769f8064edb7ba9982efa79086d951326455ea77","target":"record","created_at":"2026-05-18T01:04:46Z","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":"d14ad45b1c5660e5ae18fdfdef09b34152d29190798178730f00971e8eb8a968","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-09-09T22:16:53Z","title_canon_sha256":"7fe96044df835cec86b877d16d7b47c154f30eafb1a386fb47cc07dcc3b1989f"},"schema_version":"1.0","source":{"id":"1009.1900","kind":"arxiv","version":2}},"canonical_sha256":"1749b762edca3fce361fe37345b8ddd0e06df1624abf45380082d8a50bc316c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1749b762edca3fce361fe37345b8ddd0e06df1624abf45380082d8a50bc316c5","first_computed_at":"2026-05-18T01:04:46.203472Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:46.203472Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WqyRJ3FR4XAdmqb+z7ekmQ9rZyMgOLj0vzr+d5av8sGpGtuKvULszT2ljTCZErxKBFukyfnU4wVrD1pPNkGoDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:46.203953Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.1900","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea17c820aeb5e3d6d66e49dc769f8064edb7ba9982efa79086d951326455ea77","sha256:bdc60222b6a9c9350ae1ac8fa39d9a627f7cc309a57daa9209d27327729c4ac9"],"state_sha256":"844054371a5333a98087efb704e32912fb1bed0e4d8ca7cce1dbbb387bb7b981"}