{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:6N4C2APNILQ2L4IY6Z73YA7ZCT","short_pith_number":"pith:6N4C2APN","canonical_record":{"source":{"id":"1309.2613","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-09-10T19:01:50Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"3ee6e0bb8efe0445e05dd2945f2c5d8a61d070b63a21d12efcc6bd4d0d837ed7","abstract_canon_sha256":"1532d57a118593899521efe7fb22b246e637777a82e18c857a9813ea7f16faa6"},"schema_version":"1.0"},"canonical_sha256":"f3782d01ed42e1a5f118f67fbc03f914efdc163234f563c71d6daa3fda7a3137","source":{"kind":"arxiv","id":"1309.2613","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.2613","created_at":"2026-05-18T01:47:43Z"},{"alias_kind":"arxiv_version","alias_value":"1309.2613v2","created_at":"2026-05-18T01:47:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.2613","created_at":"2026-05-18T01:47:43Z"},{"alias_kind":"pith_short_12","alias_value":"6N4C2APNILQ2","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6N4C2APNILQ2L4IY","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6N4C2APN","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:6N4C2APNILQ2L4IY6Z73YA7ZCT","target":"record","payload":{"canonical_record":{"source":{"id":"1309.2613","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-09-10T19:01:50Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"3ee6e0bb8efe0445e05dd2945f2c5d8a61d070b63a21d12efcc6bd4d0d837ed7","abstract_canon_sha256":"1532d57a118593899521efe7fb22b246e637777a82e18c857a9813ea7f16faa6"},"schema_version":"1.0"},"canonical_sha256":"f3782d01ed42e1a5f118f67fbc03f914efdc163234f563c71d6daa3fda7a3137","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:47:43.596249Z","signature_b64":"umMeWhv8elO7rUQdD0AA9SWEI5hvP88wRZHe1BPLwCff+1W4v9Ca/OrMx+Vg78SDNdXZGHcWmHE2Y/N+c5JDCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f3782d01ed42e1a5f118f67fbc03f914efdc163234f563c71d6daa3fda7a3137","last_reissued_at":"2026-05-18T01:47:43.595632Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:47:43.595632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.2613","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":"2026-05-18T01:47:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NILhAsU2JwB7CopZ1g0KLvl2IJ76KqeWCDurKMNFmxr0C2WAU1ELrw3MtUuw4/GrsFr5yAhOdbGDqWFNVMJLDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T22:35:49.184891Z"},"content_sha256":"fd61ed1f8390fffd68b06ffe25868ef5dd57f49c463b9cd7cb70450a9c753bd9","schema_version":"1.0","event_id":"sha256:fd61ed1f8390fffd68b06ffe25868ef5dd57f49c463b9cd7cb70450a9c753bd9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:6N4C2APNILQ2L4IY6Z73YA7ZCT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Notes on maximal slices of five-dimensional black holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Aghil Alaee, Eduardo Mart\\'inez-Pedroza, Hari K. Kunduri","submitted_at":"2013-09-10T19:01:50Z","abstract_excerpt":"We consider maximal slices of the Myers-Perry black hole, the doubly spinning black ring, and the Black Saturn solution. These slices are complete, asymptotically flat Riemannian manifolds with inner boundaries corresponding to black hole horizons. Although these spaces are simply connected as a consequence of topological censorship, they have non-trivial topology. In this note we investigate the question of whether the topology of spatial sections of the horizon uniquely determines the topology of the maximal slices. We show that the horizon determines the homological invariants of the slice "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.2613","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":"2026-05-18T01:47:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"apC54luY40T1aOwljxIHDN7enL6FylD0Ga5XRqXu0X0XGeytz8xiu3QhEQlIGclFpfYG4fNDGlB6IvZQZQeQDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T22:35:49.185247Z"},"content_sha256":"1bc6b6a4b41d03b58dbdb01b9958bf27d3565a77ba4bc9a20556110b3f3c7e97","schema_version":"1.0","event_id":"sha256:1bc6b6a4b41d03b58dbdb01b9958bf27d3565a77ba4bc9a20556110b3f3c7e97"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6N4C2APNILQ2L4IY6Z73YA7ZCT/bundle.json","state_url":"https://pith.science/pith/6N4C2APNILQ2L4IY6Z73YA7ZCT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6N4C2APNILQ2L4IY6Z73YA7ZCT/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":"2026-05-30T22:35:49Z","links":{"resolver":"https://pith.science/pith/6N4C2APNILQ2L4IY6Z73YA7ZCT","bundle":"https://pith.science/pith/6N4C2APNILQ2L4IY6Z73YA7ZCT/bundle.json","state":"https://pith.science/pith/6N4C2APNILQ2L4IY6Z73YA7ZCT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6N4C2APNILQ2L4IY6Z73YA7ZCT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:6N4C2APNILQ2L4IY6Z73YA7ZCT","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":"1532d57a118593899521efe7fb22b246e637777a82e18c857a9813ea7f16faa6","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-09-10T19:01:50Z","title_canon_sha256":"3ee6e0bb8efe0445e05dd2945f2c5d8a61d070b63a21d12efcc6bd4d0d837ed7"},"schema_version":"1.0","source":{"id":"1309.2613","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.2613","created_at":"2026-05-18T01:47:43Z"},{"alias_kind":"arxiv_version","alias_value":"1309.2613v2","created_at":"2026-05-18T01:47:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.2613","created_at":"2026-05-18T01:47:43Z"},{"alias_kind":"pith_short_12","alias_value":"6N4C2APNILQ2","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6N4C2APNILQ2L4IY","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6N4C2APN","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:1bc6b6a4b41d03b58dbdb01b9958bf27d3565a77ba4bc9a20556110b3f3c7e97","target":"graph","created_at":"2026-05-18T01:47:43Z","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 consider maximal slices of the Myers-Perry black hole, the doubly spinning black ring, and the Black Saturn solution. These slices are complete, asymptotically flat Riemannian manifolds with inner boundaries corresponding to black hole horizons. Although these spaces are simply connected as a consequence of topological censorship, they have non-trivial topology. In this note we investigate the question of whether the topology of spatial sections of the horizon uniquely determines the topology of the maximal slices. We show that the horizon determines the homological invariants of the slice ","authors_text":"Aghil Alaee, Eduardo Mart\\'inez-Pedroza, Hari K. Kunduri","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-09-10T19:01:50Z","title":"Notes on maximal slices of five-dimensional black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.2613","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:fd61ed1f8390fffd68b06ffe25868ef5dd57f49c463b9cd7cb70450a9c753bd9","target":"record","created_at":"2026-05-18T01:47:43Z","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":"1532d57a118593899521efe7fb22b246e637777a82e18c857a9813ea7f16faa6","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-09-10T19:01:50Z","title_canon_sha256":"3ee6e0bb8efe0445e05dd2945f2c5d8a61d070b63a21d12efcc6bd4d0d837ed7"},"schema_version":"1.0","source":{"id":"1309.2613","kind":"arxiv","version":2}},"canonical_sha256":"f3782d01ed42e1a5f118f67fbc03f914efdc163234f563c71d6daa3fda7a3137","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3782d01ed42e1a5f118f67fbc03f914efdc163234f563c71d6daa3fda7a3137","first_computed_at":"2026-05-18T01:47:43.595632Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:47:43.595632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"umMeWhv8elO7rUQdD0AA9SWEI5hvP88wRZHe1BPLwCff+1W4v9Ca/OrMx+Vg78SDNdXZGHcWmHE2Y/N+c5JDCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:47:43.596249Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.2613","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd61ed1f8390fffd68b06ffe25868ef5dd57f49c463b9cd7cb70450a9c753bd9","sha256:1bc6b6a4b41d03b58dbdb01b9958bf27d3565a77ba4bc9a20556110b3f3c7e97"],"state_sha256":"c0f27fdc92caa0e14f9eec15e7a70c418d6a487f7f45819e7be61e4257e527c4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D8gHSMPNRiobNTAH2StRiRJWUT3OAIablxNtEjC4RQWkJvBUEWrCoaLsie/7LLcAMoz8JlJuDQW9K3mkvcggBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T22:35:49.187501Z","bundle_sha256":"a950b127eaea445295bd64a077b511a6763259a15d394edce648d85ee5b33778"}}