{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4PHAGRGTRIYOG67GXO6YKAKPAP","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":"0cfc4696382b72dd1afedbbc0889e9d188b31aff82b6e5dc86f68d5bfd60aa73","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-11-19T09:05:09Z","title_canon_sha256":"df6e67dffebdf7ef166e8061a45920f05e9692cc8915716777cb3d99de0b1c4f"},"schema_version":"1.0","source":{"id":"1211.4337","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.4337","created_at":"2026-05-18T01:46:39Z"},{"alias_kind":"arxiv_version","alias_value":"1211.4337v2","created_at":"2026-05-18T01:46:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.4337","created_at":"2026-05-18T01:46:39Z"},{"alias_kind":"pith_short_12","alias_value":"4PHAGRGTRIYO","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4PHAGRGTRIYOG67G","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4PHAGRGT","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:08d3f41004b0bfb7bba7183f9228ee7793718c4485df616fa948a66adb4788eb","target":"graph","created_at":"2026-05-18T01:46:39Z","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 explore the connections between various coordinate systems associated with observers moving inwardly along radial geodesics in the Schwarzschild geometry. Painlev\\'e-Gullstrand (PG) time is adapted to freely falling observers dropped from rest from infinity; Lake-Martel-Poisson (LMP) time coordinates are adapted to observers who start at infinity with non-zero initial inward velocity; Gautreau-Hoffmann (GH) time coordinates are adapted to observers dropped from rest from a finite distance from the black hole horizon. We construct from these an LMP family and a proper-time family of time coo","authors_text":"Tehani K. Finch","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-11-19T09:05:09Z","title":"Coordinate families for the Schwarzschild geometry based on radial timelike geodesics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.4337","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:c272af92b86d97838d15be24817ed48976a50bbed971d0c4cf250ee58f601612","target":"record","created_at":"2026-05-18T01:46:39Z","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":"0cfc4696382b72dd1afedbbc0889e9d188b31aff82b6e5dc86f68d5bfd60aa73","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-11-19T09:05:09Z","title_canon_sha256":"df6e67dffebdf7ef166e8061a45920f05e9692cc8915716777cb3d99de0b1c4f"},"schema_version":"1.0","source":{"id":"1211.4337","kind":"arxiv","version":2}},"canonical_sha256":"e3ce0344d38a30e37be6bbbd85014f03cc8b803c920db6f8698a335203a249cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e3ce0344d38a30e37be6bbbd85014f03cc8b803c920db6f8698a335203a249cd","first_computed_at":"2026-05-18T01:46:39.203001Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:46:39.203001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HxZ8xsbWiO75sKXzGrtfd2FnGaoQ0Hgl/NkFzRLsOtecI3M9fKfqHPClgo6fZZYrG0/P1gHL0DP4m0RexzVxCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:46:39.203480Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.4337","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c272af92b86d97838d15be24817ed48976a50bbed971d0c4cf250ee58f601612","sha256:08d3f41004b0bfb7bba7183f9228ee7793718c4485df616fa948a66adb4788eb"],"state_sha256":"aa4fb4486bc0d7d914723501fea29599e4e99ac5b5cb5b1adb750810cbe40a99"}