{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:QJMSRPUBJBBOBKDR5VVYIRRRWI","short_pith_number":"pith:QJMSRPUB","canonical_record":{"source":{"id":"1111.4571","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-11-19T16:41:01Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"701e5ae2cd2a38d9a79e484ee3e89e14368b9427f9795c361ab1ccb1d348989c","abstract_canon_sha256":"1bef50e84faad752c1b2385e57cb63ce46256b50f4506c10e2958804d8c63c06"},"schema_version":"1.0"},"canonical_sha256":"825928be814842e0a871ed6b844631b23fd638bb693f3e02eeb5a5f89d121798","source":{"kind":"arxiv","id":"1111.4571","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.4571","created_at":"2026-05-18T01:35:22Z"},{"alias_kind":"arxiv_version","alias_value":"1111.4571v5","created_at":"2026-05-18T01:35:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4571","created_at":"2026-05-18T01:35:22Z"},{"alias_kind":"pith_short_12","alias_value":"QJMSRPUBJBBO","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QJMSRPUBJBBOBKDR","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QJMSRPUB","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:QJMSRPUBJBBOBKDR5VVYIRRRWI","target":"record","payload":{"canonical_record":{"source":{"id":"1111.4571","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-11-19T16:41:01Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"701e5ae2cd2a38d9a79e484ee3e89e14368b9427f9795c361ab1ccb1d348989c","abstract_canon_sha256":"1bef50e84faad752c1b2385e57cb63ce46256b50f4506c10e2958804d8c63c06"},"schema_version":"1.0"},"canonical_sha256":"825928be814842e0a871ed6b844631b23fd638bb693f3e02eeb5a5f89d121798","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:22.973628Z","signature_b64":"h7lA38892qHN9WlEJ0zqGQQWXWzqHWKHnsn2MpVWfHsi5gnyTRT2cfSOXoVWNan6w5sWWP/hWBy/d/BsQFR8CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"825928be814842e0a871ed6b844631b23fd638bb693f3e02eeb5a5f89d121798","last_reissued_at":"2026-05-18T01:35:22.972850Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:22.972850Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.4571","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:35:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CLbmhMKlwATEONUUoZCWeou0AE5Q1DSst497TCYCDzKEtWukX29ksZ1FDERwl8vgStNpiprke3+uAr1Jbs7VAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T22:34:32.073256Z"},"content_sha256":"8ab67f617e8af640b79d454472f8d8d2430b013f475b03642173f30287c154e9","schema_version":"1.0","event_id":"sha256:8ab67f617e8af640b79d454472f8d8d2430b013f475b03642173f30287c154e9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:QJMSRPUBJBBOBKDR5VVYIRRRWI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Horizons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Olaf M\\\"uller","submitted_at":"2011-11-19T16:41:01Z","abstract_excerpt":"We define different notions of black holes, event horizons and Killing horizons for a general time-oriented manifold $(M,g)$ extending previous notions but without the assumption of asymptotical flatness. The notions of 'horizon' are always conformally invariant while the notions of 'black hole' are genuinely geometric. Some connections between the different notions are found. Finally, we put the definitions into the context of the weak cosmic censorship conjecture."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4571","kind":"arxiv","version":5},"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":"2026-05-18T01:35:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7PrAENQW0cR3isVVjxbw7p05oNsJinZFqWlJCQduFqSn4Pe4o9bjncJDjG8ucyEW8bBg/BsCNSnGEExZd/ckCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T22:34:32.073629Z"},"content_sha256":"6580158e7abdd3ad27bc3f59d6528cbe965ee73a752e26b7785941ac48a02ddf","schema_version":"1.0","event_id":"sha256:6580158e7abdd3ad27bc3f59d6528cbe965ee73a752e26b7785941ac48a02ddf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QJMSRPUBJBBOBKDR5VVYIRRRWI/bundle.json","state_url":"https://pith.science/pith/QJMSRPUBJBBOBKDR5VVYIRRRWI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QJMSRPUBJBBOBKDR5VVYIRRRWI/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":"2026-06-24T22:34:32Z","links":{"resolver":"https://pith.science/pith/QJMSRPUBJBBOBKDR5VVYIRRRWI","bundle":"https://pith.science/pith/QJMSRPUBJBBOBKDR5VVYIRRRWI/bundle.json","state":"https://pith.science/pith/QJMSRPUBJBBOBKDR5VVYIRRRWI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QJMSRPUBJBBOBKDR5VVYIRRRWI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:QJMSRPUBJBBOBKDR5VVYIRRRWI","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":"1bef50e84faad752c1b2385e57cb63ce46256b50f4506c10e2958804d8c63c06","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-11-19T16:41:01Z","title_canon_sha256":"701e5ae2cd2a38d9a79e484ee3e89e14368b9427f9795c361ab1ccb1d348989c"},"schema_version":"1.0","source":{"id":"1111.4571","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.4571","created_at":"2026-05-18T01:35:22Z"},{"alias_kind":"arxiv_version","alias_value":"1111.4571v5","created_at":"2026-05-18T01:35:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4571","created_at":"2026-05-18T01:35:22Z"},{"alias_kind":"pith_short_12","alias_value":"QJMSRPUBJBBO","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QJMSRPUBJBBOBKDR","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QJMSRPUB","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:6580158e7abdd3ad27bc3f59d6528cbe965ee73a752e26b7785941ac48a02ddf","target":"graph","created_at":"2026-05-18T01:35:22Z","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 define different notions of black holes, event horizons and Killing horizons for a general time-oriented manifold $(M,g)$ extending previous notions but without the assumption of asymptotical flatness. The notions of 'horizon' are always conformally invariant while the notions of 'black hole' are genuinely geometric. Some connections between the different notions are found. Finally, we put the definitions into the context of the weak cosmic censorship conjecture.","authors_text":"Olaf M\\\"uller","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-11-19T16:41:01Z","title":"Horizons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4571","kind":"arxiv","version":5},"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":"sha256:8ab67f617e8af640b79d454472f8d8d2430b013f475b03642173f30287c154e9","target":"record","created_at":"2026-05-18T01:35:22Z","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":"1bef50e84faad752c1b2385e57cb63ce46256b50f4506c10e2958804d8c63c06","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-11-19T16:41:01Z","title_canon_sha256":"701e5ae2cd2a38d9a79e484ee3e89e14368b9427f9795c361ab1ccb1d348989c"},"schema_version":"1.0","source":{"id":"1111.4571","kind":"arxiv","version":5}},"canonical_sha256":"825928be814842e0a871ed6b844631b23fd638bb693f3e02eeb5a5f89d121798","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"825928be814842e0a871ed6b844631b23fd638bb693f3e02eeb5a5f89d121798","first_computed_at":"2026-05-18T01:35:22.972850Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:22.972850Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h7lA38892qHN9WlEJ0zqGQQWXWzqHWKHnsn2MpVWfHsi5gnyTRT2cfSOXoVWNan6w5sWWP/hWBy/d/BsQFR8CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:22.973628Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.4571","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ab67f617e8af640b79d454472f8d8d2430b013f475b03642173f30287c154e9","sha256:6580158e7abdd3ad27bc3f59d6528cbe965ee73a752e26b7785941ac48a02ddf"],"state_sha256":"ea9cde4a51346f47b66b2e4491fd3563a0b04cace4d8e5d27e35b48742bee26e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kJptL1IPzYIRspxVuw2QjO3FCZGvOcSkteEOje+7ofHDrZUPDdsQGhRM4pDWmJTynAce5BWCT++4vrwJ4RZVDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T22:34:32.075619Z","bundle_sha256":"3620ce73eb5f6235b2bfbb3db8d71d312c5f9efa8b660888873375f09a63877a"}}