{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:MT4PE4Y6M4Q6CURMWQOG7YKSGG","short_pith_number":"pith:MT4PE4Y6","canonical_record":{"source":{"id":"1203.4800","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-21T18:50:53Z","cross_cats_sorted":[],"title_canon_sha256":"8e298d75176e6a751cfd69d298795b17ffd32431219d4fb6a715e6827b7a0e3c","abstract_canon_sha256":"1dea637df1b8101cb0d140433cad641540f3db59fd9f451ace107a672a7b35cf"},"schema_version":"1.0"},"canonical_sha256":"64f8f2731e6721e1522cb41c6fe15231a086233a8bafdf3bc3002fa90d5b13ab","source":{"kind":"arxiv","id":"1203.4800","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.4800","created_at":"2026-05-18T03:59:37Z"},{"alias_kind":"arxiv_version","alias_value":"1203.4800v1","created_at":"2026-05-18T03:59:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.4800","created_at":"2026-05-18T03:59:37Z"},{"alias_kind":"pith_short_12","alias_value":"MT4PE4Y6M4Q6","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MT4PE4Y6M4Q6CURM","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MT4PE4Y6","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:MT4PE4Y6M4Q6CURMWQOG7YKSGG","target":"record","payload":{"canonical_record":{"source":{"id":"1203.4800","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-21T18:50:53Z","cross_cats_sorted":[],"title_canon_sha256":"8e298d75176e6a751cfd69d298795b17ffd32431219d4fb6a715e6827b7a0e3c","abstract_canon_sha256":"1dea637df1b8101cb0d140433cad641540f3db59fd9f451ace107a672a7b35cf"},"schema_version":"1.0"},"canonical_sha256":"64f8f2731e6721e1522cb41c6fe15231a086233a8bafdf3bc3002fa90d5b13ab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:59:37.144670Z","signature_b64":"YR84zTI8eCeSFJUi2MClhfmeEL1xJH+ov0CihRuTI2fnrLqVzJrM0dflQGmdo3lrLx7ficCuOB+JHruLeXknCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"64f8f2731e6721e1522cb41c6fe15231a086233a8bafdf3bc3002fa90d5b13ab","last_reissued_at":"2026-05-18T03:59:37.144154Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:59:37.144154Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.4800","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:59:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O3zuZsbhNN9ycpBsi5uLLZZEszsn8rFOIbb4tH13JJyk/sPDozdFi0xYBxSx5mP8fgHVgb2qlKYmMIyK3XxgBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:03:45.487053Z"},"content_sha256":"0600b96fa90bac156b5a03e42678bb81eb5c87e1a9532af080f144fb09ed8cc3","schema_version":"1.0","event_id":"sha256:0600b96fa90bac156b5a03e42678bb81eb5c87e1a9532af080f144fb09ed8cc3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:MT4PE4Y6M4Q6CURMWQOG7YKSGG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Derived equivalence and non-vanishing loci","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Mihnea Popa","submitted_at":"2012-03-21T18:50:53Z","abstract_excerpt":"The paper proposes and motivates a conjecture on the invariance of cohomological support loci under derived equivalence. It contains a proof in the case of surfaces, and explains further developments and consequences."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.4800","kind":"arxiv","version":1},"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":"2026-05-18T03:59:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/ClEOyd4vNpKVVV0oSEmZ7+mPl7IdhlYiJGtOy1IW1E33dKk/l462wPoLI8lMN+btX1ovX8AfIj2pMtfzb04Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:03:45.487443Z"},"content_sha256":"0350fc3db99be1c6957c40dd5cb244143c6088f30facb776e497dc8d1d68139f","schema_version":"1.0","event_id":"sha256:0350fc3db99be1c6957c40dd5cb244143c6088f30facb776e497dc8d1d68139f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MT4PE4Y6M4Q6CURMWQOG7YKSGG/bundle.json","state_url":"https://pith.science/pith/MT4PE4Y6M4Q6CURMWQOG7YKSGG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MT4PE4Y6M4Q6CURMWQOG7YKSGG/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":"2026-06-05T18:03:45Z","links":{"resolver":"https://pith.science/pith/MT4PE4Y6M4Q6CURMWQOG7YKSGG","bundle":"https://pith.science/pith/MT4PE4Y6M4Q6CURMWQOG7YKSGG/bundle.json","state":"https://pith.science/pith/MT4PE4Y6M4Q6CURMWQOG7YKSGG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MT4PE4Y6M4Q6CURMWQOG7YKSGG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:MT4PE4Y6M4Q6CURMWQOG7YKSGG","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":"1dea637df1b8101cb0d140433cad641540f3db59fd9f451ace107a672a7b35cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-21T18:50:53Z","title_canon_sha256":"8e298d75176e6a751cfd69d298795b17ffd32431219d4fb6a715e6827b7a0e3c"},"schema_version":"1.0","source":{"id":"1203.4800","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.4800","created_at":"2026-05-18T03:59:37Z"},{"alias_kind":"arxiv_version","alias_value":"1203.4800v1","created_at":"2026-05-18T03:59:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.4800","created_at":"2026-05-18T03:59:37Z"},{"alias_kind":"pith_short_12","alias_value":"MT4PE4Y6M4Q6","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MT4PE4Y6M4Q6CURM","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MT4PE4Y6","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:0350fc3db99be1c6957c40dd5cb244143c6088f30facb776e497dc8d1d68139f","target":"graph","created_at":"2026-05-18T03:59:37Z","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":"The paper proposes and motivates a conjecture on the invariance of cohomological support loci under derived equivalence. It contains a proof in the case of surfaces, and explains further developments and consequences.","authors_text":"Mihnea Popa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-21T18:50:53Z","title":"Derived equivalence and non-vanishing loci"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.4800","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":"sha256:0600b96fa90bac156b5a03e42678bb81eb5c87e1a9532af080f144fb09ed8cc3","target":"record","created_at":"2026-05-18T03:59:37Z","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":"1dea637df1b8101cb0d140433cad641540f3db59fd9f451ace107a672a7b35cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-21T18:50:53Z","title_canon_sha256":"8e298d75176e6a751cfd69d298795b17ffd32431219d4fb6a715e6827b7a0e3c"},"schema_version":"1.0","source":{"id":"1203.4800","kind":"arxiv","version":1}},"canonical_sha256":"64f8f2731e6721e1522cb41c6fe15231a086233a8bafdf3bc3002fa90d5b13ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64f8f2731e6721e1522cb41c6fe15231a086233a8bafdf3bc3002fa90d5b13ab","first_computed_at":"2026-05-18T03:59:37.144154Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:59:37.144154Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YR84zTI8eCeSFJUi2MClhfmeEL1xJH+ov0CihRuTI2fnrLqVzJrM0dflQGmdo3lrLx7ficCuOB+JHruLeXknCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:59:37.144670Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.4800","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0600b96fa90bac156b5a03e42678bb81eb5c87e1a9532af080f144fb09ed8cc3","sha256:0350fc3db99be1c6957c40dd5cb244143c6088f30facb776e497dc8d1d68139f"],"state_sha256":"cd2cbb1f0555c0c1f45e13312df2e38417d6e506a9ee91281e04c4f16748c525"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EUpo0tj0SWaRtoeSlU56Bg/hRzvmuBy/VA7DhKHQpPUtdyl68gXyC7PkQrGsWeacxZWK3F2LYW79deApcy2uDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T18:03:45.489856Z","bundle_sha256":"a29c40b84d2540dd3eb11807dd27ad51867c75b870942ae330cc55b7274d5127"}}