{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7R62UQ4VS7GRSZFNWUUI63XCVJ","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":"3c7bb75c2e4883cda44276e51ee8e349a2319c34310a37eb3813939c47798181","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-26T16:22:48Z","title_canon_sha256":"89b3cdc3924949f940fec9486a9007ff406ee733682f694671a124e4b603def8"},"schema_version":"1.0","source":{"id":"1303.6542","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.6542","created_at":"2026-05-18T03:29:49Z"},{"alias_kind":"arxiv_version","alias_value":"1303.6542v1","created_at":"2026-05-18T03:29:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.6542","created_at":"2026-05-18T03:29:49Z"},{"alias_kind":"pith_short_12","alias_value":"7R62UQ4VS7GR","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7R62UQ4VS7GRSZFN","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7R62UQ4V","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:204a6b5e58d991c8b8318dacd0fe4c2edf45d3d2675ec3973994a8b9db59f091","target":"graph","created_at":"2026-05-18T03:29:49Z","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 define the derived category of quasi--coherent modules for certain Artin stacks as the homotopy category of two Quillen monoidal model structures on the corresponding category of unbounded complexes of quasi--coherent modules.","authors_text":"Sergio Estrada","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-26T16:22:48Z","title":"The Derived Category of quasi-coherent sheaves on an Artin stack via model structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.6542","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":"sha256:250ff8ed5c5f4f149b8733865e0ffdb4ac4a25cdc9ccb15a2604298577c0a7a4","target":"record","created_at":"2026-05-18T03:29:49Z","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":"3c7bb75c2e4883cda44276e51ee8e349a2319c34310a37eb3813939c47798181","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-26T16:22:48Z","title_canon_sha256":"89b3cdc3924949f940fec9486a9007ff406ee733682f694671a124e4b603def8"},"schema_version":"1.0","source":{"id":"1303.6542","kind":"arxiv","version":1}},"canonical_sha256":"fc7daa439597cd1964adb5288f6ee2aa6e65302f7de0ad87946be6100bc270ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc7daa439597cd1964adb5288f6ee2aa6e65302f7de0ad87946be6100bc270ec","first_computed_at":"2026-05-18T03:29:49.106902Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:49.106902Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"es5ZCF3ftj8VtwP5JIpI+VELKYeq9l8ACFu+EIZ9lUCKpDYNkMnDR+VQDXQ++zy6Xpkdj6mhfAjQDCDec42ABg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:49.107422Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.6542","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:250ff8ed5c5f4f149b8733865e0ffdb4ac4a25cdc9ccb15a2604298577c0a7a4","sha256:204a6b5e58d991c8b8318dacd0fe4c2edf45d3d2675ec3973994a8b9db59f091"],"state_sha256":"6f51440a129110cae9d87ebc2d5a8c643c8ae82d4956102308cebba2b4e60dd6"}