{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LPNOBPVSPWR44QSQK52LKL4K57","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":"6bdef615dc63ec6dbca23edff0a31633dbfd9a50232003e2ae17071ba2fdd892","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-05-10T17:56:11Z","title_canon_sha256":"7307a1ffd9ab5e5d7dd6e8ff30d61e24297c76fd11e5acc249facf1460498d5f"},"schema_version":"1.0","source":{"id":"1605.03130","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.03130","created_at":"2026-05-18T01:13:10Z"},{"alias_kind":"arxiv_version","alias_value":"1605.03130v1","created_at":"2026-05-18T01:13:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.03130","created_at":"2026-05-18T01:13:10Z"},{"alias_kind":"pith_short_12","alias_value":"LPNOBPVSPWR4","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LPNOBPVSPWR44QSQ","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LPNOBPVS","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:5e255e442458758f5d45d0381f271613a651e53a9eb7b1640d4d5a92d6e55763","target":"graph","created_at":"2026-05-18T01:13:10Z","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":"In this paper, under natural geometric and physical assumptions we provide new uniqueness and non-existence results for complete maximal hypersurfaces in spatially open Robertson-Walker spacetimes whose fiber is flat. Moreover, our results are applied to relevant spacetimes as the steady state spacetime, Einstein-de Sitter spacetime and radiation models.","authors_text":"Alfonso Romero, Jos\\'e A. S. Pelegr\\'in, Rafael M. Rubio","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-05-10T17:56:11Z","title":"Uniqueness of complete maximal hypersurfaces in spatially open $(n+1)$-dimensional Robertson-Walker spacetimes with flat fiber"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.03130","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:b22041a557081671398d503c738253630840c0ef51300a78e11781c753385b6c","target":"record","created_at":"2026-05-18T01:13:10Z","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":"6bdef615dc63ec6dbca23edff0a31633dbfd9a50232003e2ae17071ba2fdd892","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-05-10T17:56:11Z","title_canon_sha256":"7307a1ffd9ab5e5d7dd6e8ff30d61e24297c76fd11e5acc249facf1460498d5f"},"schema_version":"1.0","source":{"id":"1605.03130","kind":"arxiv","version":1}},"canonical_sha256":"5bdae0beb27da3ce42505774b52f8aefe59e5e21b52b636c34fb99b2f708a142","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5bdae0beb27da3ce42505774b52f8aefe59e5e21b52b636c34fb99b2f708a142","first_computed_at":"2026-05-18T01:13:10.977992Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:10.977992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IgEnryHlyObTvme1CZRQw+cR4RyVnU/HvvFTo07HYqbnIsCNgc/nbAOXLCv2kl1KBnEj9CNljAjqmV1wNnpDCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:10.978512Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.03130","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b22041a557081671398d503c738253630840c0ef51300a78e11781c753385b6c","sha256:5e255e442458758f5d45d0381f271613a651e53a9eb7b1640d4d5a92d6e55763"],"state_sha256":"7834ef49a700f73250f9632cb728d03c382752a79acdbba188c38be240e3a51c"}