{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ZLIQCFVBXVANYLPP62HUG5AI7B","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":"3c075b0a03b21eb12c1d88891654ee650e70a2502e24d74fd1acc35d61126282","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-04-03T05:56:05Z","title_canon_sha256":"4b43d3c0bf5c03ee180f2e60a11daebe8fe2f98a557c223a7ece4ebc3b89461e"},"schema_version":"1.0","source":{"id":"1204.0602","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.0602","created_at":"2026-05-18T03:58:39Z"},{"alias_kind":"arxiv_version","alias_value":"1204.0602v1","created_at":"2026-05-18T03:58:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0602","created_at":"2026-05-18T03:58:39Z"},{"alias_kind":"pith_short_12","alias_value":"ZLIQCFVBXVAN","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZLIQCFVBXVANYLPP","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZLIQCFVB","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:dbe34df0617404cb6fe2ce4479c9b801edc218aae8556922127b2057a1ea3709","target":"graph","created_at":"2026-05-18T03:58:39Z","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 show that any extremal contraction from a smooth projective variety with dimension less than or equal to three appears as a moduli space of (semi)stable objects in the derived category of coherent sheaves.","authors_text":"Yukinobu Toda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-04-03T05:56:05Z","title":"Stability conditions and extremal contractions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0602","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":"sha256:8bf852da453552dfda69b5b1eb98cf3586b9bd20dc6391fd541998fd6d31bf52","target":"record","created_at":"2026-05-18T03:58:39Z","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":"3c075b0a03b21eb12c1d88891654ee650e70a2502e24d74fd1acc35d61126282","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-04-03T05:56:05Z","title_canon_sha256":"4b43d3c0bf5c03ee180f2e60a11daebe8fe2f98a557c223a7ece4ebc3b89461e"},"schema_version":"1.0","source":{"id":"1204.0602","kind":"arxiv","version":1}},"canonical_sha256":"cad10116a1bd40dc2deff68f437408f84ef4f5ed355df62cadecdddad9e54fca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cad10116a1bd40dc2deff68f437408f84ef4f5ed355df62cadecdddad9e54fca","first_computed_at":"2026-05-18T03:58:39.034385Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:58:39.034385Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EGOwa5X7wzFhpog2HO8utKtiurmO61eY+1e5mEczafs6Wq16gNrNnQcenkPQcmauQNnDUS6w5ii/PU3s3m2BDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:58:39.034927Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.0602","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8bf852da453552dfda69b5b1eb98cf3586b9bd20dc6391fd541998fd6d31bf52","sha256:dbe34df0617404cb6fe2ce4479c9b801edc218aae8556922127b2057a1ea3709"],"state_sha256":"03868d35f0d201e5a405ce05faeec81a7dd5adedfe25667349346bc7a5a6d438"}