{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:MQVKQYDGMG6LITY64R2MSH4LL6","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":"957d5d6678ac161e7ee3050eb0aeda86c489d13f99ed8dbb4c6da6663e3650a3","cross_cats_sorted":["math-ph","math.AG","math.CV","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-12-21T19:29:33Z","title_canon_sha256":"bc11125943de21489ea1fe2b6f200c430b205f28784bf6ab619b0c5639265acc"},"schema_version":"1.0","source":{"id":"1312.6295","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.6295","created_at":"2026-05-18T03:04:05Z"},{"alias_kind":"arxiv_version","alias_value":"1312.6295v1","created_at":"2026-05-18T03:04:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.6295","created_at":"2026-05-18T03:04:05Z"},{"alias_kind":"pith_short_12","alias_value":"MQVKQYDGMG6L","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MQVKQYDGMG6LITY6","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MQVKQYDG","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:998727ced3a9eb4a20cc867642091b0cd949029f95ba0bcc3ef9f17b06885577","target":"graph","created_at":"2026-05-18T03:04:05Z","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 study the natural K\\\"ahler metrics on moduli spaces of stable oriented pairs in a very general framework, and we prove a universal formula expressing the K\\\"ahler class of such a moduli space in terms of characteristic classes of the universal bundle. We use these results to compute explicitly the volumina of certain Quot spaces.","authors_text":"Andrei Teleman, Christian Okonek","cross_cats":["math-ph","math.AG","math.CV","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-12-21T19:29:33Z","title":"K\\\"ahler classes on universal moduli spaces and volumina of Quot spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6295","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":"sha256:419ca72c3a6d719987d4897fe62c1f1d13c6cf269ef5106b565f8e24c1071c12","target":"record","created_at":"2026-05-18T03:04:05Z","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":"957d5d6678ac161e7ee3050eb0aeda86c489d13f99ed8dbb4c6da6663e3650a3","cross_cats_sorted":["math-ph","math.AG","math.CV","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-12-21T19:29:33Z","title_canon_sha256":"bc11125943de21489ea1fe2b6f200c430b205f28784bf6ab619b0c5639265acc"},"schema_version":"1.0","source":{"id":"1312.6295","kind":"arxiv","version":1}},"canonical_sha256":"642aa8606661bcb44f1ee474c91f8b5f9f5071cf874f699d2c63acce84f983b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"642aa8606661bcb44f1ee474c91f8b5f9f5071cf874f699d2c63acce84f983b7","first_computed_at":"2026-05-18T03:04:05.614151Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:04:05.614151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z/or8SE/KZeuJMHYXGii4xZcMzTZ7rgKqLe83qUwO1DS4wzbsfH7F/EZ6lJStGDkzojqIsxUeh7hftqWp2vMAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:04:05.614722Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.6295","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:419ca72c3a6d719987d4897fe62c1f1d13c6cf269ef5106b565f8e24c1071c12","sha256:998727ced3a9eb4a20cc867642091b0cd949029f95ba0bcc3ef9f17b06885577"],"state_sha256":"00e221ee4d4921bdb7ec0ad37db83e99413afdf3360751c5bd8e691cda73a255"}