{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:HFHGNGPFJFRQ3BQZQ36VJ65JGN","short_pith_number":"pith:HFHGNGPF","canonical_record":{"source":{"id":"1801.10206","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-30T20:20:01Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"fdbcad4f0c56b281abf72080b37c24665167484bbe76f78fe2ce338d426be1df","abstract_canon_sha256":"a1b0f77fc0b52789a4340146ee96b95497610ed3e0a5ea8d6fa43d0a33f94152"},"schema_version":"1.0"},"canonical_sha256":"394e6699e549630d861986fd54fba9337691ab7a7a06a1295b2afbe1cde523f1","source":{"kind":"arxiv","id":"1801.10206","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.10206","created_at":"2026-05-18T00:05:14Z"},{"alias_kind":"arxiv_version","alias_value":"1801.10206v1","created_at":"2026-05-18T00:05:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.10206","created_at":"2026-05-18T00:05:14Z"},{"alias_kind":"pith_short_12","alias_value":"HFHGNGPFJFRQ","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HFHGNGPFJFRQ3BQZ","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HFHGNGPF","created_at":"2026-05-18T12:32:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:HFHGNGPFJFRQ3BQZQ36VJ65JGN","target":"record","payload":{"canonical_record":{"source":{"id":"1801.10206","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-30T20:20:01Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"fdbcad4f0c56b281abf72080b37c24665167484bbe76f78fe2ce338d426be1df","abstract_canon_sha256":"a1b0f77fc0b52789a4340146ee96b95497610ed3e0a5ea8d6fa43d0a33f94152"},"schema_version":"1.0"},"canonical_sha256":"394e6699e549630d861986fd54fba9337691ab7a7a06a1295b2afbe1cde523f1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:14.317376Z","signature_b64":"oM03yQgOcEkPY7GCt/pciWW8QFtzWXQZ/iliny/ANFxzWhDRuquoM8iINUrBjsy1dreVco3vvWml9JPTV66NBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"394e6699e549630d861986fd54fba9337691ab7a7a06a1295b2afbe1cde523f1","last_reissued_at":"2026-05-18T00:05:14.316466Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:14.316466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.10206","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:05:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eX7HULGqH+HuojXLDWya1MhjOcRNeRQ9vAr3JKsRC3rBYMJLfE/Bdw9CeiuwQIWiMvEhFPv1IO3yMZcGVTLHCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T01:32:32.985895Z"},"content_sha256":"56e46bc832d4bc9dc36a51b94933b0ba504cab277e16843b1c1d6e333b2094b5","schema_version":"1.0","event_id":"sha256:56e46bc832d4bc9dc36a51b94933b0ba504cab277e16843b1c1d6e333b2094b5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:HFHGNGPFJFRQ3BQZQ36VJ65JGN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ergoregions between two ergospheres","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"math.AP","authors_text":"Gregory Eskin, Michael Hall","submitted_at":"2018-01-30T20:20:01Z","abstract_excerpt":"For a stationary spacetime metric, black holes are spatial regions which disturbances may not propagate out of. In our previous work an existence and regularity theorem was proven for black holes in two space dimensions, in the case where the boundary of the ergoregion is a simple closed curve surrounding a singularity. In this paper we study the case of an annular ergoregion, whose boundary has two components."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.10206","kind":"arxiv","version":1},"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":"2026-05-18T00:05:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KLWAXKF7mzx6OijGaX4/aFhCedbdZ8sWUAfwdMJDbJiYC4Ucl7DDTBHHS9UT/fZNnMgT2ioTWfaIEp7g9SPJAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T01:32:32.986243Z"},"content_sha256":"d61054340fd75b961eaa39731d6de9a5a9bcfa71d8025c8a3e5012a75fb46f82","schema_version":"1.0","event_id":"sha256:d61054340fd75b961eaa39731d6de9a5a9bcfa71d8025c8a3e5012a75fb46f82"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HFHGNGPFJFRQ3BQZQ36VJ65JGN/bundle.json","state_url":"https://pith.science/pith/HFHGNGPFJFRQ3BQZQ36VJ65JGN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HFHGNGPFJFRQ3BQZQ36VJ65JGN/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":"2026-06-22T01:32:32Z","links":{"resolver":"https://pith.science/pith/HFHGNGPFJFRQ3BQZQ36VJ65JGN","bundle":"https://pith.science/pith/HFHGNGPFJFRQ3BQZQ36VJ65JGN/bundle.json","state":"https://pith.science/pith/HFHGNGPFJFRQ3BQZQ36VJ65JGN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HFHGNGPFJFRQ3BQZQ36VJ65JGN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:HFHGNGPFJFRQ3BQZQ36VJ65JGN","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":"a1b0f77fc0b52789a4340146ee96b95497610ed3e0a5ea8d6fa43d0a33f94152","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-30T20:20:01Z","title_canon_sha256":"fdbcad4f0c56b281abf72080b37c24665167484bbe76f78fe2ce338d426be1df"},"schema_version":"1.0","source":{"id":"1801.10206","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.10206","created_at":"2026-05-18T00:05:14Z"},{"alias_kind":"arxiv_version","alias_value":"1801.10206v1","created_at":"2026-05-18T00:05:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.10206","created_at":"2026-05-18T00:05:14Z"},{"alias_kind":"pith_short_12","alias_value":"HFHGNGPFJFRQ","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HFHGNGPFJFRQ3BQZ","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HFHGNGPF","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:d61054340fd75b961eaa39731d6de9a5a9bcfa71d8025c8a3e5012a75fb46f82","target":"graph","created_at":"2026-05-18T00:05:14Z","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":"For a stationary spacetime metric, black holes are spatial regions which disturbances may not propagate out of. In our previous work an existence and regularity theorem was proven for black holes in two space dimensions, in the case where the boundary of the ergoregion is a simple closed curve surrounding a singularity. In this paper we study the case of an annular ergoregion, whose boundary has two components.","authors_text":"Gregory Eskin, Michael Hall","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-30T20:20:01Z","title":"Ergoregions between two ergospheres"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.10206","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":"sha256:56e46bc832d4bc9dc36a51b94933b0ba504cab277e16843b1c1d6e333b2094b5","target":"record","created_at":"2026-05-18T00:05:14Z","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":"a1b0f77fc0b52789a4340146ee96b95497610ed3e0a5ea8d6fa43d0a33f94152","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-30T20:20:01Z","title_canon_sha256":"fdbcad4f0c56b281abf72080b37c24665167484bbe76f78fe2ce338d426be1df"},"schema_version":"1.0","source":{"id":"1801.10206","kind":"arxiv","version":1}},"canonical_sha256":"394e6699e549630d861986fd54fba9337691ab7a7a06a1295b2afbe1cde523f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"394e6699e549630d861986fd54fba9337691ab7a7a06a1295b2afbe1cde523f1","first_computed_at":"2026-05-18T00:05:14.316466Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:14.316466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oM03yQgOcEkPY7GCt/pciWW8QFtzWXQZ/iliny/ANFxzWhDRuquoM8iINUrBjsy1dreVco3vvWml9JPTV66NBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:14.317376Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.10206","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56e46bc832d4bc9dc36a51b94933b0ba504cab277e16843b1c1d6e333b2094b5","sha256:d61054340fd75b961eaa39731d6de9a5a9bcfa71d8025c8a3e5012a75fb46f82"],"state_sha256":"988122d2b3e49e45f0db158f35b7dfe6debd6f0fcb5adf9338440a02630ca781"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1NHGDb0mYAH5iKWCCapKfm/eL9S1uXj+rPjMGRdf3U/IO5aLLyyjcdrEQomHfrLzKdUVDlHEPojfcX0ZAkVsDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T01:32:32.989586Z","bundle_sha256":"e78070d9c57e372e707c172ed63989e31ad3259360cb2b96d65d263349d1bd31"}}