{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LEMWNOG32S3WSIEUKRSBED6V6P","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":"8767fc4f9d2aff885ae4a13c03f3bba94ff2e3fa50bd8292fbfafb1918f60975","cross_cats_sorted":["gr-qc","math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-01-11T13:23:14Z","title_canon_sha256":"2675efc853b843a16875039a24dd89aaa2df8afa160fa702d03f39a3ee4367e2"},"schema_version":"1.0","source":{"id":"1301.2492","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.2492","created_at":"2026-05-18T00:29:21Z"},{"alias_kind":"arxiv_version","alias_value":"1301.2492v2","created_at":"2026-05-18T00:29:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.2492","created_at":"2026-05-18T00:29:21Z"},{"alias_kind":"pith_short_12","alias_value":"LEMWNOG32S3W","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LEMWNOG32S3WSIEU","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LEMWNOG3","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:fce9e52fcebeb46879df20ba7d357b5010a8b58378fcc2a5c62d3d08787589f5","target":"graph","created_at":"2026-05-18T00:29:21Z","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":"Two pseudo-Riemannian metrics $g $ and $\\bar g$ are geodesically equivalent, if they share the same (unparameterized) geodesics. We give a complete local description of such metrics which solves the natural generalisation of Beltrami problem for pseudo-Riemannian metrics.","authors_text":"Alexey V. Bolsinov, Vladimir S. Matveev","cross_cats":["gr-qc","math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-01-11T13:23:14Z","title":"Local normal forms for geodesically equivalent pseudo-Riemannian metrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.2492","kind":"arxiv","version":2},"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:d0f9d5554e76c42ea3ea972ac4bebe808db30c7a05cad5d846d058cc0cb3b316","target":"record","created_at":"2026-05-18T00:29:21Z","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":"8767fc4f9d2aff885ae4a13c03f3bba94ff2e3fa50bd8292fbfafb1918f60975","cross_cats_sorted":["gr-qc","math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-01-11T13:23:14Z","title_canon_sha256":"2675efc853b843a16875039a24dd89aaa2df8afa160fa702d03f39a3ee4367e2"},"schema_version":"1.0","source":{"id":"1301.2492","kind":"arxiv","version":2}},"canonical_sha256":"591966b8dbd4b76920945464120fd5f3f3af51fef479e6d265d60a5fa50a8eb7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"591966b8dbd4b76920945464120fd5f3f3af51fef479e6d265d60a5fa50a8eb7","first_computed_at":"2026-05-18T00:29:21.548216Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:21.548216Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KNQuc94F5hGCSGFnwL7iT2rwuTbKmTxYduN5nOjhkulDgqAbsgd3lWojVHLIEU96mWvElb1DWJt3j+hkU7nhCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:21.548966Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.2492","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0f9d5554e76c42ea3ea972ac4bebe808db30c7a05cad5d846d058cc0cb3b316","sha256:fce9e52fcebeb46879df20ba7d357b5010a8b58378fcc2a5c62d3d08787589f5"],"state_sha256":"c1b55bd56413b287200ca03f734fd29b167fdb2d2f94da96e21d3fd20eeabe9d"}