{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:ZMX7L2S2FYWTBE3LHQ4AYFDFHE","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":"e689628eea5cde24b2ed35f6e6762cdcb0c1a530d101d1d81fb1432ad0582774","cross_cats_sorted":[],"license":"","primary_cat":"math.DG","submitted_at":"2003-03-17T18:03:01Z","title_canon_sha256":"4f86d9970a6d2e50568da03a1245f347ab644cb5c66d669c519ba51b6018116a"},"schema_version":"1.0","source":{"id":"math/0303197","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0303197","created_at":"2026-07-04T16:41:40Z"},{"alias_kind":"arxiv_version","alias_value":"math/0303197v3","created_at":"2026-07-04T16:41:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0303197","created_at":"2026-07-04T16:41:40Z"},{"alias_kind":"pith_short_12","alias_value":"ZMX7L2S2FYWT","created_at":"2026-07-04T16:41:40Z"},{"alias_kind":"pith_short_16","alias_value":"ZMX7L2S2FYWTBE3L","created_at":"2026-07-04T16:41:40Z"},{"alias_kind":"pith_short_8","alias_value":"ZMX7L2S2","created_at":"2026-07-04T16:41:40Z"}],"graph_snapshots":[{"event_id":"sha256:fa3317a0e94cbf57097b410f0947f9ec241b3d2a050fc1a4fe2b7d907f7da074","target":"graph","created_at":"2026-07-04T16:41:40Z","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/0303197/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A torsion-free G_2 structure admitting an infinitesimal isometry is shown to give rise to a 4-manifold equipped with a complex symplectic structure and a 1-parameter family of functions and 2-forms linked by second order equations. Reversing the process in various special cases leads to the construction of explicit metrics with holonomy equal to G_2.","authors_text":"Simon Salamon, Vestislav Apostolov","cross_cats":[],"headline":"","license":"","primary_cat":"math.DG","submitted_at":"2003-03-17T18:03:01Z","title":"Kaehler reduction of metrics with holonomy G_2"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0303197","kind":"arxiv","version":3},"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:b3dc60b3eec2879b89cc1e500d94c2d30523c72a077b4146abf516e0e4a840be","target":"record","created_at":"2026-07-04T16:41:40Z","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":"e689628eea5cde24b2ed35f6e6762cdcb0c1a530d101d1d81fb1432ad0582774","cross_cats_sorted":[],"license":"","primary_cat":"math.DG","submitted_at":"2003-03-17T18:03:01Z","title_canon_sha256":"4f86d9970a6d2e50568da03a1245f347ab644cb5c66d669c519ba51b6018116a"},"schema_version":"1.0","source":{"id":"math/0303197","kind":"arxiv","version":3}},"canonical_sha256":"cb2ff5ea5a2e2d30936b3c380c146539331d63fa424e88d57df0ebec824e68e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb2ff5ea5a2e2d30936b3c380c146539331d63fa424e88d57df0ebec824e68e8","first_computed_at":"2026-07-04T16:41:40.317360Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:41:40.317360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OBvs3DSpSQTmc+NTKhjtdvREjBoVfKmkXkNkFNVTiHFVpvfuk109lQ0CD6OaA2W+VHBuWPPyW8fqRIgFanvhDA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:41:40.317798Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0303197","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3dc60b3eec2879b89cc1e500d94c2d30523c72a077b4146abf516e0e4a840be","sha256:fa3317a0e94cbf57097b410f0947f9ec241b3d2a050fc1a4fe2b7d907f7da074"],"state_sha256":"72f394ea8e04f727661cf68bde08bbf7f8cc95d72be1ac5cb1bfe067af113fc1"}