{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:MKNXK5FYN65POHFLCMGZQRA4IV","short_pith_number":"pith:MKNXK5FY","canonical_record":{"source":{"id":"1305.2541","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-05-11T20:44:54Z","cross_cats_sorted":[],"title_canon_sha256":"15e1776236c0b54e64911b0bd066685ae806cf8df2d88e83e03ec629e13128f7","abstract_canon_sha256":"d897a73cf9d60bf46b1d6884680c286eb6dd20bf6c0b8247ab5353aefc73be4c"},"schema_version":"1.0"},"canonical_sha256":"629b7574b86fbaf71cab130d98441c455269b2d4e3e04412822de80ab83dd3e8","source":{"kind":"arxiv","id":"1305.2541","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.2541","created_at":"2026-05-18T03:08:07Z"},{"alias_kind":"arxiv_version","alias_value":"1305.2541v2","created_at":"2026-05-18T03:08:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2541","created_at":"2026-05-18T03:08:07Z"},{"alias_kind":"pith_short_12","alias_value":"MKNXK5FYN65P","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MKNXK5FYN65POHFL","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MKNXK5FY","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:MKNXK5FYN65POHFLCMGZQRA4IV","target":"record","payload":{"canonical_record":{"source":{"id":"1305.2541","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-05-11T20:44:54Z","cross_cats_sorted":[],"title_canon_sha256":"15e1776236c0b54e64911b0bd066685ae806cf8df2d88e83e03ec629e13128f7","abstract_canon_sha256":"d897a73cf9d60bf46b1d6884680c286eb6dd20bf6c0b8247ab5353aefc73be4c"},"schema_version":"1.0"},"canonical_sha256":"629b7574b86fbaf71cab130d98441c455269b2d4e3e04412822de80ab83dd3e8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:07.218696Z","signature_b64":"Ux1p+KVXEl47MtZ2MlPzfLotgEA4OpBMokMJBU0hwcUq/nZ0ge3qr0fcyXfw0n+kxR2SYUQTUd29nx0WlpwQDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"629b7574b86fbaf71cab130d98441c455269b2d4e3e04412822de80ab83dd3e8","last_reissued_at":"2026-05-18T03:08:07.218037Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:07.218037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.2541","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:08:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v4eOUG6ba5NIV4q5CJVpVZ95Bn78Y9RH4RFmb9zW4v1xsan/SUczBTUjvLYxml12JwMmx6dNwzGxfs2XMrTHCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T21:12:48.404628Z"},"content_sha256":"65b4c75c1e321a8fd0fae57beef4f4073f60f9c8db8781985dec4fbc9a5554ac","schema_version":"1.0","event_id":"sha256:65b4c75c1e321a8fd0fae57beef4f4073f60f9c8db8781985dec4fbc9a5554ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:MKNXK5FYN65POHFLCMGZQRA4IV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A reconstruction theorem for abelian categories of twisted sheaves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Benjamin Antieau","submitted_at":"2013-05-11T20:44:54Z","abstract_excerpt":"We use an idea of Rosenberg to prove a reconstruction theorem for abelian categories of alpha-twisted quasi-coherent sheaves on quasi-compact and quasi-separated schemes X when alpha is in the Brauer group of X. By applying the work of To\\\"en on derived Azumaya algebras, we give a proof of C\\u{a}ld\\u{a}raru's conjecture."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2541","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:08:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U/u183NadfMwtFLKwENHt62KhDElm5+JNYOn0DtIbWSALTSclb7w1C2bu1V4YX+t1X2Ct42K8k0paX+Zt4veCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T21:12:48.405307Z"},"content_sha256":"ed451638e104735bcb6d444e7ba3cff63f4f962a3c80f279c75a8da99ab48071","schema_version":"1.0","event_id":"sha256:ed451638e104735bcb6d444e7ba3cff63f4f962a3c80f279c75a8da99ab48071"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MKNXK5FYN65POHFLCMGZQRA4IV/bundle.json","state_url":"https://pith.science/pith/MKNXK5FYN65POHFLCMGZQRA4IV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MKNXK5FYN65POHFLCMGZQRA4IV/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-11T21:12:48Z","links":{"resolver":"https://pith.science/pith/MKNXK5FYN65POHFLCMGZQRA4IV","bundle":"https://pith.science/pith/MKNXK5FYN65POHFLCMGZQRA4IV/bundle.json","state":"https://pith.science/pith/MKNXK5FYN65POHFLCMGZQRA4IV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MKNXK5FYN65POHFLCMGZQRA4IV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:MKNXK5FYN65POHFLCMGZQRA4IV","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":"d897a73cf9d60bf46b1d6884680c286eb6dd20bf6c0b8247ab5353aefc73be4c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-05-11T20:44:54Z","title_canon_sha256":"15e1776236c0b54e64911b0bd066685ae806cf8df2d88e83e03ec629e13128f7"},"schema_version":"1.0","source":{"id":"1305.2541","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.2541","created_at":"2026-05-18T03:08:07Z"},{"alias_kind":"arxiv_version","alias_value":"1305.2541v2","created_at":"2026-05-18T03:08:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2541","created_at":"2026-05-18T03:08:07Z"},{"alias_kind":"pith_short_12","alias_value":"MKNXK5FYN65P","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MKNXK5FYN65POHFL","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MKNXK5FY","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:ed451638e104735bcb6d444e7ba3cff63f4f962a3c80f279c75a8da99ab48071","target":"graph","created_at":"2026-05-18T03:08:07Z","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 use an idea of Rosenberg to prove a reconstruction theorem for abelian categories of alpha-twisted quasi-coherent sheaves on quasi-compact and quasi-separated schemes X when alpha is in the Brauer group of X. By applying the work of To\\\"en on derived Azumaya algebras, we give a proof of C\\u{a}ld\\u{a}raru's conjecture.","authors_text":"Benjamin Antieau","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-05-11T20:44:54Z","title":"A reconstruction theorem for abelian categories of twisted sheaves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2541","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":"sha256:65b4c75c1e321a8fd0fae57beef4f4073f60f9c8db8781985dec4fbc9a5554ac","target":"record","created_at":"2026-05-18T03:08:07Z","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":"d897a73cf9d60bf46b1d6884680c286eb6dd20bf6c0b8247ab5353aefc73be4c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-05-11T20:44:54Z","title_canon_sha256":"15e1776236c0b54e64911b0bd066685ae806cf8df2d88e83e03ec629e13128f7"},"schema_version":"1.0","source":{"id":"1305.2541","kind":"arxiv","version":2}},"canonical_sha256":"629b7574b86fbaf71cab130d98441c455269b2d4e3e04412822de80ab83dd3e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"629b7574b86fbaf71cab130d98441c455269b2d4e3e04412822de80ab83dd3e8","first_computed_at":"2026-05-18T03:08:07.218037Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:07.218037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ux1p+KVXEl47MtZ2MlPzfLotgEA4OpBMokMJBU0hwcUq/nZ0ge3qr0fcyXfw0n+kxR2SYUQTUd29nx0WlpwQDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:07.218696Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.2541","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65b4c75c1e321a8fd0fae57beef4f4073f60f9c8db8781985dec4fbc9a5554ac","sha256:ed451638e104735bcb6d444e7ba3cff63f4f962a3c80f279c75a8da99ab48071"],"state_sha256":"4bd1df9e49328cf928e94f8abb300e7ad4cc4f3d7815ddce8739c949f81565c9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t34DPQdieIKtyEYnax52P2+h4tC1R4IrXIcmTRP8Duo1OtrWwiHBk9KSdGRUNALk3SPah+7nX7x9mBhJRMscDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T21:12:48.408827Z","bundle_sha256":"c32c31c6cc9a49d13727e93dc4774f08d2a6a4252db3385586354f3f9fd03313"}}