{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:7QDY24PO24KP3NKCSZTVILFXNT","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":"feb3aa058861ae1db90e229413c1c8abdc0c12de18449f151cc5cab1644495b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-11-05T09:48:44Z","title_canon_sha256":"de802222a80636f1bd9341f9da52b931ad831a7a2765b3c58ff5a7954d70733f"},"schema_version":"1.0","source":{"id":"0911.1000","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.1000","created_at":"2026-05-18T04:37:22Z"},{"alias_kind":"arxiv_version","alias_value":"0911.1000v2","created_at":"2026-05-18T04:37:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.1000","created_at":"2026-05-18T04:37:22Z"},{"alias_kind":"pith_short_12","alias_value":"7QDY24PO24KP","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"7QDY24PO24KP3NKC","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"7QDY24PO","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:fcd606b4d9ee1e4091de2289688c43e1f4b1abd869e5597172ba3159251fcaeb","target":"graph","created_at":"2026-05-18T04:37:22Z","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 study general S2xS1 Gowdy models with a regular past Cauchy horizon and prove that a second (future) Cauchy horizon exists, provided that a particular conserved quantity $J$ is not zero. We derive an explicit expression for the metric form on the future Cauchy horizon in terms of the initial data on the past horizon and conclude the universal relation $A\\p A\\f=(8\\pi J)^2$ where $A\\p$ and $A\\f$ are the areas of past and future Cauchy horizon respectively.","authors_text":"J\\\"org Hennig, Marcus Ansorg","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-11-05T09:48:44Z","title":"Regularity of Cauchy horizons in S2xS1 Gowdy spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.1000","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:b4e1e17611d8f980b7e8849d157e2837e7de3e8436789a1893c598bad4a6bbb1","target":"record","created_at":"2026-05-18T04:37:22Z","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":"feb3aa058861ae1db90e229413c1c8abdc0c12de18449f151cc5cab1644495b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-11-05T09:48:44Z","title_canon_sha256":"de802222a80636f1bd9341f9da52b931ad831a7a2765b3c58ff5a7954d70733f"},"schema_version":"1.0","source":{"id":"0911.1000","kind":"arxiv","version":2}},"canonical_sha256":"fc078d71eed714fdb5429667542cb76cd80371516f7dfa21d9108b4186356f7c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc078d71eed714fdb5429667542cb76cd80371516f7dfa21d9108b4186356f7c","first_computed_at":"2026-05-18T04:37:22.224295Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:37:22.224295Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sAljvy8sZRECAdR8DjnymAVIkebwXRJ2gQAfAsuMQDpytS5CONLmebwV/ABcbSPVS7vUUCTDWjI5aArfE4CTAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:37:22.224745Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.1000","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b4e1e17611d8f980b7e8849d157e2837e7de3e8436789a1893c598bad4a6bbb1","sha256:fcd606b4d9ee1e4091de2289688c43e1f4b1abd869e5597172ba3159251fcaeb"],"state_sha256":"478b82b3d95f302b4ae33c4731365ec6c07a78aa342a0c6a4a0f77287e6f921a"}