{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:OYLUPNE3HKWQXW4LUPFXIDY4JS","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":"49afbffccbbc7c9fa75d1aef1ec0a0856fbfb67380b5bae05870904de7a27aef","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-09-10T19:50:06Z","title_canon_sha256":"9741fe24234428cf3adc3b43bf3e491c05229f86dc82d21addb3881f948b9fa4"},"schema_version":"1.0","source":{"id":"1009.2085","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.2085","created_at":"2026-05-18T03:48:59Z"},{"alias_kind":"arxiv_version","alias_value":"1009.2085v1","created_at":"2026-05-18T03:48:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.2085","created_at":"2026-05-18T03:48:59Z"},{"alias_kind":"pith_short_12","alias_value":"OYLUPNE3HKWQ","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OYLUPNE3HKWQXW4L","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OYLUPNE3","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:1cf895dc83d33221cc4e409afa7c44fc0b68db1b11d04b75c58103fc17f04095","target":"graph","created_at":"2026-05-18T03:48:59Z","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 give a direct global proof for the existence of symplectic realizations of arbitrary Poisson manifolds.","authors_text":"Ioan Marcut, Marius Crainic","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-09-10T19:50:06Z","title":"On the existence of symplectic realizations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.2085","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":"sha256:260336affcae9e2eb5ee7abf6ac1bd2ffd38f54c42535e1f532637ab75310fde","target":"record","created_at":"2026-05-18T03:48:59Z","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":"49afbffccbbc7c9fa75d1aef1ec0a0856fbfb67380b5bae05870904de7a27aef","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-09-10T19:50:06Z","title_canon_sha256":"9741fe24234428cf3adc3b43bf3e491c05229f86dc82d21addb3881f948b9fa4"},"schema_version":"1.0","source":{"id":"1009.2085","kind":"arxiv","version":1}},"canonical_sha256":"761747b49b3aad0bdb8ba3cb740f1c4cb092201d20cced7b4c6b5505a063dc47","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"761747b49b3aad0bdb8ba3cb740f1c4cb092201d20cced7b4c6b5505a063dc47","first_computed_at":"2026-05-18T03:48:59.350855Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:48:59.350855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0sxpGbTLpKgS4kskB334sqhLd9TvUVdKeOqwQhRHU6xwhdDShbSEuLVxz470DI/cLwe+iE5yL/ZuAsF6a1E6AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:48:59.351725Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.2085","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:260336affcae9e2eb5ee7abf6ac1bd2ffd38f54c42535e1f532637ab75310fde","sha256:1cf895dc83d33221cc4e409afa7c44fc0b68db1b11d04b75c58103fc17f04095"],"state_sha256":"b023372b5742da7637e3c82d8b510ad93f16ac7f28d77fd6e5dc11bd81cd9c95"}