{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:B74EOI6H65AK3JN3SS2R63A4ZK","short_pith_number":"pith:B74EOI6H","canonical_record":{"source":{"id":"1002.0490","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-02-02T14:38:05Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"7ccd498e38c5effc48c22305bbe5698e39c66d208ea6bcfa50678b27b37e6341","abstract_canon_sha256":"056cbf18d2349c48451036d0785ac1c192ffa8354e4c1507da342dbce981a9ba"},"schema_version":"1.0"},"canonical_sha256":"0ff84723c7f740ada5bb94b51f6c1ccaafbd2d17a238f3bb7cc800f1adf648f6","source":{"kind":"arxiv","id":"1002.0490","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.0490","created_at":"2026-05-18T03:18:27Z"},{"alias_kind":"arxiv_version","alias_value":"1002.0490v1","created_at":"2026-05-18T03:18:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.0490","created_at":"2026-05-18T03:18:27Z"},{"alias_kind":"pith_short_12","alias_value":"B74EOI6H65AK","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"B74EOI6H65AK3JN3","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"B74EOI6H","created_at":"2026-05-18T12:26:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:B74EOI6H65AK3JN3SS2R63A4ZK","target":"record","payload":{"canonical_record":{"source":{"id":"1002.0490","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-02-02T14:38:05Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"7ccd498e38c5effc48c22305bbe5698e39c66d208ea6bcfa50678b27b37e6341","abstract_canon_sha256":"056cbf18d2349c48451036d0785ac1c192ffa8354e4c1507da342dbce981a9ba"},"schema_version":"1.0"},"canonical_sha256":"0ff84723c7f740ada5bb94b51f6c1ccaafbd2d17a238f3bb7cc800f1adf648f6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:18:27.010122Z","signature_b64":"J37pPp3n/oy29l6kalai3B+7GfXrm4dfZeKtlXJOtShL79HDxUiki86JDbDH9rJ5zrK9dqssMmO93wn66dooAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ff84723c7f740ada5bb94b51f6c1ccaafbd2d17a238f3bb7cc800f1adf648f6","last_reissued_at":"2026-05-18T03:18:27.009636Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:18:27.009636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1002.0490","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":"2026-05-18T03:18:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hmSt5Rq3s7BLw+1BR+m9fQZeCTArmiT1e6uKLszwbI6o9soapZTTN/IPH1R8AyPjXK1ZxXgbsUNYGlgut+InCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T17:08:10.706059Z"},"content_sha256":"d3b926f13a4de60c5ec7f36cee5caf81768cd952cbc7d810b5115af91cda58e6","schema_version":"1.0","event_id":"sha256:d3b926f13a4de60c5ec7f36cee5caf81768cd952cbc7d810b5115af91cda58e6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:B74EOI6H65AK3JN3SS2R63A4ZK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Further restrictions on the topology of stationary black holes in five dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Akihiro Ishibashi, Jan Holland, Stefan Hollands","submitted_at":"2010-02-02T14:38:05Z","abstract_excerpt":"We place further restriction on the possible topology of stationary asymptotically flat vacuum black holes in 5 spacetime dimensions. We prove that the horizon manifold can be either a connected sum of Lens spaces and \"handles\" $S^1 \\times S^2$, or the quotient of $S^3$ by certain finite groups of isometries (with no \"handles\"). The resulting horizon topologies include Prism manifolds and quotients of the Poincare homology sphere. We also show that the topology of the domain of outer communication is a cartesian product of the time direction with a finite connected sum of $\\mathbb R^4,S^2 \\tim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.0490","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":"2026-05-18T03:18:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GfW9b0lyvDXv87pdyoVaR7AWhzl9PrUcgUZqOITQSd0R/+iRXJZXDQYDRk9xI5zLGe9M1qy1ZlcfvfYXf6SPCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T17:08:10.706675Z"},"content_sha256":"48a331f02b2f3a34db808c36286b8338ca823c66459492cc74bea56bbd32805c","schema_version":"1.0","event_id":"sha256:48a331f02b2f3a34db808c36286b8338ca823c66459492cc74bea56bbd32805c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B74EOI6H65AK3JN3SS2R63A4ZK/bundle.json","state_url":"https://pith.science/pith/B74EOI6H65AK3JN3SS2R63A4ZK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B74EOI6H65AK3JN3SS2R63A4ZK/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":"2026-05-26T17:08:10Z","links":{"resolver":"https://pith.science/pith/B74EOI6H65AK3JN3SS2R63A4ZK","bundle":"https://pith.science/pith/B74EOI6H65AK3JN3SS2R63A4ZK/bundle.json","state":"https://pith.science/pith/B74EOI6H65AK3JN3SS2R63A4ZK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B74EOI6H65AK3JN3SS2R63A4ZK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:B74EOI6H65AK3JN3SS2R63A4ZK","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":"056cbf18d2349c48451036d0785ac1c192ffa8354e4c1507da342dbce981a9ba","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-02-02T14:38:05Z","title_canon_sha256":"7ccd498e38c5effc48c22305bbe5698e39c66d208ea6bcfa50678b27b37e6341"},"schema_version":"1.0","source":{"id":"1002.0490","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.0490","created_at":"2026-05-18T03:18:27Z"},{"alias_kind":"arxiv_version","alias_value":"1002.0490v1","created_at":"2026-05-18T03:18:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.0490","created_at":"2026-05-18T03:18:27Z"},{"alias_kind":"pith_short_12","alias_value":"B74EOI6H65AK","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"B74EOI6H65AK3JN3","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"B74EOI6H","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:48a331f02b2f3a34db808c36286b8338ca823c66459492cc74bea56bbd32805c","target":"graph","created_at":"2026-05-18T03:18:27Z","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 place further restriction on the possible topology of stationary asymptotically flat vacuum black holes in 5 spacetime dimensions. We prove that the horizon manifold can be either a connected sum of Lens spaces and \"handles\" $S^1 \\times S^2$, or the quotient of $S^3$ by certain finite groups of isometries (with no \"handles\"). The resulting horizon topologies include Prism manifolds and quotients of the Poincare homology sphere. We also show that the topology of the domain of outer communication is a cartesian product of the time direction with a finite connected sum of $\\mathbb R^4,S^2 \\tim","authors_text":"Akihiro Ishibashi, Jan Holland, Stefan Hollands","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-02-02T14:38:05Z","title":"Further restrictions on the topology of stationary black holes in five dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.0490","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:d3b926f13a4de60c5ec7f36cee5caf81768cd952cbc7d810b5115af91cda58e6","target":"record","created_at":"2026-05-18T03:18:27Z","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":"056cbf18d2349c48451036d0785ac1c192ffa8354e4c1507da342dbce981a9ba","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-02-02T14:38:05Z","title_canon_sha256":"7ccd498e38c5effc48c22305bbe5698e39c66d208ea6bcfa50678b27b37e6341"},"schema_version":"1.0","source":{"id":"1002.0490","kind":"arxiv","version":1}},"canonical_sha256":"0ff84723c7f740ada5bb94b51f6c1ccaafbd2d17a238f3bb7cc800f1adf648f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ff84723c7f740ada5bb94b51f6c1ccaafbd2d17a238f3bb7cc800f1adf648f6","first_computed_at":"2026-05-18T03:18:27.009636Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:27.009636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J37pPp3n/oy29l6kalai3B+7GfXrm4dfZeKtlXJOtShL79HDxUiki86JDbDH9rJ5zrK9dqssMmO93wn66dooAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:27.010122Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.0490","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3b926f13a4de60c5ec7f36cee5caf81768cd952cbc7d810b5115af91cda58e6","sha256:48a331f02b2f3a34db808c36286b8338ca823c66459492cc74bea56bbd32805c"],"state_sha256":"620d76103986f9b396a7e5561c86847b13e97cbea406527a74f14a0a7e5451af"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HqWiUTIKtkENCnml3tAgb2Ym/Z9pBKOogqLPNn8xx2Z4a+9zW03xyg4ewT1v332uwMIueYPG0l3zkLRl4mSnDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T17:08:10.709145Z","bundle_sha256":"63db60e61640a6df3893f85bc7ead6baf715f08b9e1f9adc77e873ead1a3cb5c"}}