{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:LG7GB6G6KL5PWCD7FVWW6J27WA","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":"9db9a69759bffb15b856caf6b132216fb643be0699454de577a1394186bf9ec4","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1999-05-02T15:59:17Z","title_canon_sha256":"27f6d76722916eeaf2dfaaf430bf2c2c237febb65213d74f3be7ecacb35d2e32"},"schema_version":"1.0","source":{"id":"gr-qc/9905005","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9905005","created_at":"2026-05-18T04:25:11Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9905005v1","created_at":"2026-05-18T04:25:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9905005","created_at":"2026-05-18T04:25:11Z"},{"alias_kind":"pith_short_12","alias_value":"LG7GB6G6KL5P","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"LG7GB6G6KL5PWCD7","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"LG7GB6G6","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:22ec4ebbf5199c1df0ee7a997a814b330051c19360ac9e1dafbad4433b8b4d23","target":"graph","created_at":"2026-05-18T04:25:11Z","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":"A method for finding the world function of Robertson-Walker spacetimes is presented. It is applied to find the world function for the $k=0, \\ga=2$, solution. The close point approximation for the Robertson-Walker world function is calculated upto fourth order.","authors_text":"Mark D. Roberts","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1999-05-02T15:59:17Z","title":"The World Function in Robertson-Walker Spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9905005","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:bd9adbe776a72f6f6bccd18395c64da8e654fd53aa72622ada8868b729b4b3e0","target":"record","created_at":"2026-05-18T04:25:11Z","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":"9db9a69759bffb15b856caf6b132216fb643be0699454de577a1394186bf9ec4","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1999-05-02T15:59:17Z","title_canon_sha256":"27f6d76722916eeaf2dfaaf430bf2c2c237febb65213d74f3be7ecacb35d2e32"},"schema_version":"1.0","source":{"id":"gr-qc/9905005","kind":"arxiv","version":1}},"canonical_sha256":"59be60f8de52fafb087f2d6d6f275fb02685449a3b38697c232367519ac72b96","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59be60f8de52fafb087f2d6d6f275fb02685449a3b38697c232367519ac72b96","first_computed_at":"2026-05-18T04:25:11.852042Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:25:11.852042Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OjzIPSy0GaHhwyt6RgwW+lWtN+PBXyHmB691o4gNvbO/7JnYbGDfkYcaZU2CCHZnIbKugxKsJ12YGmez1VgkAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:25:11.852579Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9905005","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd9adbe776a72f6f6bccd18395c64da8e654fd53aa72622ada8868b729b4b3e0","sha256:22ec4ebbf5199c1df0ee7a997a814b330051c19360ac9e1dafbad4433b8b4d23"],"state_sha256":"67bbc82860029780cf1d9cdf6847cf9ca1d6104d60b23a0c211d3766d548022d"}