{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:P45N7OUSTCLNNISR7C76GZQFJP","short_pith_number":"pith:P45N7OUS","canonical_record":{"source":{"id":"math/0009013","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2000-09-01T16:17:24Z","cross_cats_sorted":["hep-th","math.DG","math.SG"],"title_canon_sha256":"af8b7b37139a958fe6e9f4faf840ecc4c9b02c06311b570d4074448f0dfdd28b","abstract_canon_sha256":"c0fac468234f37887e39feb8f370a2448b7e09cb72d2b3f9a8a3d153decfa09a"},"schema_version":"1.0"},"canonical_sha256":"7f3adfba929896d6a251f8bfe366054bd2f2b36a04a813a682f835de1fba1eeb","source":{"kind":"arxiv","id":"math/0009013","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0009013","created_at":"2026-07-04T15:23:18Z"},{"alias_kind":"arxiv_version","alias_value":"math/0009013v1","created_at":"2026-07-04T15:23:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0009013","created_at":"2026-07-04T15:23:18Z"},{"alias_kind":"pith_short_12","alias_value":"P45N7OUSTCLN","created_at":"2026-07-04T15:23:18Z"},{"alias_kind":"pith_short_16","alias_value":"P45N7OUSTCLNNISR","created_at":"2026-07-04T15:23:18Z"},{"alias_kind":"pith_short_8","alias_value":"P45N7OUS","created_at":"2026-07-04T15:23:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:P45N7OUSTCLNNISR7C76GZQFJP","target":"record","payload":{"canonical_record":{"source":{"id":"math/0009013","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2000-09-01T16:17:24Z","cross_cats_sorted":["hep-th","math.DG","math.SG"],"title_canon_sha256":"af8b7b37139a958fe6e9f4faf840ecc4c9b02c06311b570d4074448f0dfdd28b","abstract_canon_sha256":"c0fac468234f37887e39feb8f370a2448b7e09cb72d2b3f9a8a3d153decfa09a"},"schema_version":"1.0"},"canonical_sha256":"7f3adfba929896d6a251f8bfe366054bd2f2b36a04a813a682f835de1fba1eeb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:23:18.679788Z","signature_b64":"DEoZcHSZc9f9Fzi2jARXFuqDwbxjb7kFjq3P7IPkxQfDEhJkldKjNcWnzlMkFUQbGH/ZFjpBkzap087HyeyfBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f3adfba929896d6a251f8bfe366054bd2f2b36a04a813a682f835de1fba1eeb","last_reissued_at":"2026-07-04T15:23:18.679358Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:23:18.679358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0009013","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":"2026-07-04T15:23:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QtcdOIPyUTdbC8aN4OMkON9y3QU5J18RUBWwlJo8XUbUn1Io2gNI0290A0E3qP9S5skdnTEu1fr0IJD/umZ0BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-09T06:46:11.600736Z"},"content_sha256":"70431ba2d19e377f768b6bbc8379ae25937de6af73e1a58077ec7caa5980f3af","schema_version":"1.0","event_id":"sha256:70431ba2d19e377f768b6bbc8379ae25937de6af73e1a58077ec7caa5980f3af"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:P45N7OUSTCLNNISR7C76GZQFJP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symplectic geometry on moduli spaces of holomorphic bundles over complex surfaces","license":"","headline":"","cross_cats":["hep-th","math.DG","math.SG"],"primary_cat":"math.AG","authors_text":"Alexei Rosly, Boris Khesin","submitted_at":"2000-09-01T16:17:24Z","abstract_excerpt":"We give a comparative description of the Poisson structures on the moduli spaces of flat connections on real surfaces and holomorphic Poisson structures on the moduli spaces of holomorphic bundles on complex surfaces. The symplectic leaves of the latter are classified by restrictions of the bundles to certain divisors. This can be regarded as fixing a \"complex analogue of the holonomy\" of a connection along a \"complex analogue of the boundary\" in analogy with the real case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0009013","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math/0009013/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:23:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lphAxsHS8qOwHskJFG4+s3wkTXpdSCkjYJOdFWAjOYClbOqA1wM5OcLnbxlCAYQHmnpuLSBgT06c81RyAmbxAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-09T06:46:11.601396Z"},"content_sha256":"03a3992a240f7f1c75b3ad21f71bb2226031b9344bb3db58545bbfd78b0d8c0f","schema_version":"1.0","event_id":"sha256:03a3992a240f7f1c75b3ad21f71bb2226031b9344bb3db58545bbfd78b0d8c0f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P45N7OUSTCLNNISR7C76GZQFJP/bundle.json","state_url":"https://pith.science/pith/P45N7OUSTCLNNISR7C76GZQFJP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P45N7OUSTCLNNISR7C76GZQFJP/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":"2026-07-09T06:46:11Z","links":{"resolver":"https://pith.science/pith/P45N7OUSTCLNNISR7C76GZQFJP","bundle":"https://pith.science/pith/P45N7OUSTCLNNISR7C76GZQFJP/bundle.json","state":"https://pith.science/pith/P45N7OUSTCLNNISR7C76GZQFJP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P45N7OUSTCLNNISR7C76GZQFJP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:P45N7OUSTCLNNISR7C76GZQFJP","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":"c0fac468234f37887e39feb8f370a2448b7e09cb72d2b3f9a8a3d153decfa09a","cross_cats_sorted":["hep-th","math.DG","math.SG"],"license":"","primary_cat":"math.AG","submitted_at":"2000-09-01T16:17:24Z","title_canon_sha256":"af8b7b37139a958fe6e9f4faf840ecc4c9b02c06311b570d4074448f0dfdd28b"},"schema_version":"1.0","source":{"id":"math/0009013","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0009013","created_at":"2026-07-04T15:23:18Z"},{"alias_kind":"arxiv_version","alias_value":"math/0009013v1","created_at":"2026-07-04T15:23:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0009013","created_at":"2026-07-04T15:23:18Z"},{"alias_kind":"pith_short_12","alias_value":"P45N7OUSTCLN","created_at":"2026-07-04T15:23:18Z"},{"alias_kind":"pith_short_16","alias_value":"P45N7OUSTCLNNISR","created_at":"2026-07-04T15:23:18Z"},{"alias_kind":"pith_short_8","alias_value":"P45N7OUS","created_at":"2026-07-04T15:23:18Z"}],"graph_snapshots":[{"event_id":"sha256:03a3992a240f7f1c75b3ad21f71bb2226031b9344bb3db58545bbfd78b0d8c0f","target":"graph","created_at":"2026-07-04T15:23:18Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/math/0009013/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give a comparative description of the Poisson structures on the moduli spaces of flat connections on real surfaces and holomorphic Poisson structures on the moduli spaces of holomorphic bundles on complex surfaces. The symplectic leaves of the latter are classified by restrictions of the bundles to certain divisors. This can be regarded as fixing a \"complex analogue of the holonomy\" of a connection along a \"complex analogue of the boundary\" in analogy with the real case.","authors_text":"Alexei Rosly, Boris Khesin","cross_cats":["hep-th","math.DG","math.SG"],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2000-09-01T16:17:24Z","title":"Symplectic geometry on moduli spaces of holomorphic bundles over complex surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0009013","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":"sha256:70431ba2d19e377f768b6bbc8379ae25937de6af73e1a58077ec7caa5980f3af","target":"record","created_at":"2026-07-04T15:23:18Z","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":"c0fac468234f37887e39feb8f370a2448b7e09cb72d2b3f9a8a3d153decfa09a","cross_cats_sorted":["hep-th","math.DG","math.SG"],"license":"","primary_cat":"math.AG","submitted_at":"2000-09-01T16:17:24Z","title_canon_sha256":"af8b7b37139a958fe6e9f4faf840ecc4c9b02c06311b570d4074448f0dfdd28b"},"schema_version":"1.0","source":{"id":"math/0009013","kind":"arxiv","version":1}},"canonical_sha256":"7f3adfba929896d6a251f8bfe366054bd2f2b36a04a813a682f835de1fba1eeb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f3adfba929896d6a251f8bfe366054bd2f2b36a04a813a682f835de1fba1eeb","first_computed_at":"2026-07-04T15:23:18.679358Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:23:18.679358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DEoZcHSZc9f9Fzi2jARXFuqDwbxjb7kFjq3P7IPkxQfDEhJkldKjNcWnzlMkFUQbGH/ZFjpBkzap087HyeyfBA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:23:18.679788Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0009013","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70431ba2d19e377f768b6bbc8379ae25937de6af73e1a58077ec7caa5980f3af","sha256:03a3992a240f7f1c75b3ad21f71bb2226031b9344bb3db58545bbfd78b0d8c0f"],"state_sha256":"1049f3470501cd921df6a28bc037908af68cec4be3d2e76f89cefcfb2040f1b9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dU+5s+pj6Q9GPsPAdKp72AVSeprZcEcfmnIDj00HZGCLgLjAC7Qe8w2i27ktuPpeU+IMkjeIsu3DBvkeyG+1CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-09T06:46:11.604435Z","bundle_sha256":"986c9fd6f92e277818f43d76cd486a7c14c07ad2bff1ffd02513d7ff414a3bcf"}}