{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:7QDY24PO24KP3NKCSZTVILFXNT","short_pith_number":"pith:7QDY24PO","canonical_record":{"source":{"id":"0911.1000","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-11-05T09:48:44Z","cross_cats_sorted":[],"title_canon_sha256":"de802222a80636f1bd9341f9da52b931ad831a7a2765b3c58ff5a7954d70733f","abstract_canon_sha256":"feb3aa058861ae1db90e229413c1c8abdc0c12de18449f151cc5cab1644495b2"},"schema_version":"1.0"},"canonical_sha256":"fc078d71eed714fdb5429667542cb76cd80371516f7dfa21d9108b4186356f7c","source":{"kind":"arxiv","id":"0911.1000","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:7QDY24PO24KP3NKCSZTVILFXNT","target":"record","payload":{"canonical_record":{"source":{"id":"0911.1000","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-11-05T09:48:44Z","cross_cats_sorted":[],"title_canon_sha256":"de802222a80636f1bd9341f9da52b931ad831a7a2765b3c58ff5a7954d70733f","abstract_canon_sha256":"feb3aa058861ae1db90e229413c1c8abdc0c12de18449f151cc5cab1644495b2"},"schema_version":"1.0"},"canonical_sha256":"fc078d71eed714fdb5429667542cb76cd80371516f7dfa21d9108b4186356f7c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:37:22.224745Z","signature_b64":"sAljvy8sZRECAdR8DjnymAVIkebwXRJ2gQAfAsuMQDpytS5CONLmebwV/ABcbSPVS7vUUCTDWjI5aArfE4CTAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc078d71eed714fdb5429667542cb76cd80371516f7dfa21d9108b4186356f7c","last_reissued_at":"2026-05-18T04:37:22.224295Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:37:22.224295Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0911.1000","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:37:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YErGKaowIde6Uwd3fkE8nHJVsSdoq829AILtpcbdHF5S+9WMzFIAE/PUE6cfZMEnAuGgLq8gJzVooMQfxHF3Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T09:08:12.502638Z"},"content_sha256":"b4e1e17611d8f980b7e8849d157e2837e7de3e8436789a1893c598bad4a6bbb1","schema_version":"1.0","event_id":"sha256:b4e1e17611d8f980b7e8849d157e2837e7de3e8436789a1893c598bad4a6bbb1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:7QDY24PO24KP3NKCSZTVILFXNT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Regularity of Cauchy horizons in S2xS1 Gowdy spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"J\\\"org Hennig, Marcus Ansorg","submitted_at":"2009-11-05T09:48:44Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.1000","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:37:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O5atPd97BCp9mS/UA7c7ah/VrPbBfMGZ17G17WhtCkcyHiYfjKYVG6YYFGxt4oP1SWK73bsHMUcafnRR5np0BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T09:08:12.503286Z"},"content_sha256":"fcd606b4d9ee1e4091de2289688c43e1f4b1abd869e5597172ba3159251fcaeb","schema_version":"1.0","event_id":"sha256:fcd606b4d9ee1e4091de2289688c43e1f4b1abd869e5597172ba3159251fcaeb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7QDY24PO24KP3NKCSZTVILFXNT/bundle.json","state_url":"https://pith.science/pith/7QDY24PO24KP3NKCSZTVILFXNT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7QDY24PO24KP3NKCSZTVILFXNT/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-06T09:08:12Z","links":{"resolver":"https://pith.science/pith/7QDY24PO24KP3NKCSZTVILFXNT","bundle":"https://pith.science/pith/7QDY24PO24KP3NKCSZTVILFXNT/bundle.json","state":"https://pith.science/pith/7QDY24PO24KP3NKCSZTVILFXNT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7QDY24PO24KP3NKCSZTVILFXNT/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NNHM5xb1WtBoY3SIcP9Ok4GLEyWFm+473Z2PjOCliLice9Kvpsj7HE78FEDAz83Z322GGCuLF7NW2Aee9mgRDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T09:08:12.507039Z","bundle_sha256":"df4537a25ddd6f09ee8b15b0f75c2decbbf644ad5b95ecaa2021b47cd7a18c1c"}}