{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:D3Y4JAUVSE2TWACAEOJYNRMW3A","short_pith_number":"pith:D3Y4JAUV","canonical_record":{"source":{"id":"1507.08984","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-07-31T19:28:24Z","cross_cats_sorted":[],"title_canon_sha256":"321a19f72945285f9983b63e3f3d8068733b4c9bc00d502149d749d8406d8122","abstract_canon_sha256":"543bf018eb06de7d285efedc3027f82fe5f70973dfab6e4e5946a555a2ed092e"},"schema_version":"1.0"},"canonical_sha256":"1ef1c4829591353b0040239386c596d83f4bf90d31a10a6ebc166461a279d53c","source":{"kind":"arxiv","id":"1507.08984","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.08984","created_at":"2026-05-18T01:30:57Z"},{"alias_kind":"arxiv_version","alias_value":"1507.08984v1","created_at":"2026-05-18T01:30:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.08984","created_at":"2026-05-18T01:30:57Z"},{"alias_kind":"pith_short_12","alias_value":"D3Y4JAUVSE2T","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"D3Y4JAUVSE2TWACA","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"D3Y4JAUV","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:D3Y4JAUVSE2TWACAEOJYNRMW3A","target":"record","payload":{"canonical_record":{"source":{"id":"1507.08984","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-07-31T19:28:24Z","cross_cats_sorted":[],"title_canon_sha256":"321a19f72945285f9983b63e3f3d8068733b4c9bc00d502149d749d8406d8122","abstract_canon_sha256":"543bf018eb06de7d285efedc3027f82fe5f70973dfab6e4e5946a555a2ed092e"},"schema_version":"1.0"},"canonical_sha256":"1ef1c4829591353b0040239386c596d83f4bf90d31a10a6ebc166461a279d53c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:57.989567Z","signature_b64":"KzW70APCBBYyTFeRn91UsPvlE2Nfg3cNFNp0eeJLP67TKQ0WxPmITLLQaXi4v3H3vAGpEwBxryR9eJuFfsXIDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ef1c4829591353b0040239386c596d83f4bf90d31a10a6ebc166461a279d53c","last_reissued_at":"2026-05-18T01:30:57.989134Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:57.989134Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.08984","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":"2026-05-18T01:30:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KPV2tAfIzmnIwoc2sHms49nHnyQnLzpI//uer/AXW8hBWpT3c2jvTuXdaeZDCvXlhrnOO70J2WlR/7G7sMd2Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T02:54:30.330022Z"},"content_sha256":"07e7f2ca7c8dbad94e479bc2ca82800c34fefb203f9c6ed0c1ab4d7763e5892a","schema_version":"1.0","event_id":"sha256:07e7f2ca7c8dbad94e479bc2ca82800c34fefb203f9c6ed0c1ab4d7763e5892a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:D3Y4JAUVSE2TWACAEOJYNRMW3A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the global structure of Kerr-de Sitter spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Kayll Lake, Thomas Zannias","submitted_at":"2015-07-31T19:28:24Z","abstract_excerpt":"Taking advantage of the natural length scale set by the cosmological constant $\\Lambda>0$, conditions on the parameters $(\\Lambda, M, a^{2})$ have been found, so that a Kerr-de Sitter specetime either describes a black hole with well separated horizons, or describes degenerate configurations where two or more horizons coincide. As long as the rotation parameter $a^{2}$ is subject to the constraint $a^{2}\\Lambda \\ll 1$, while the mass parameter $M$ is subject to: $ a^{2}[1+O(a^{2}\\Lambda)^{2})] <M^{2}< \\frac {1}{9\\Lambda}[1+2a^{2}\\Lambda+O(a^{2}\\Lambda)^{2})]$, then a Kerr-de Sitter spacetime w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.08984","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":"2026-05-18T01:30:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"exvSG+b2HDhgMNbW75kwR0+7DMoOdvoNKZVkTZ53IPKy7lPNAKFaORVBOcVHoVRukTSdvTvs7dJswbOa3LVCBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T02:54:30.330688Z"},"content_sha256":"2d0ebdd43345df85c9b78062f2e4e7b4f858eeb2f5c1c303fb688769005d9f6e","schema_version":"1.0","event_id":"sha256:2d0ebdd43345df85c9b78062f2e4e7b4f858eeb2f5c1c303fb688769005d9f6e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D3Y4JAUVSE2TWACAEOJYNRMW3A/bundle.json","state_url":"https://pith.science/pith/D3Y4JAUVSE2TWACAEOJYNRMW3A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D3Y4JAUVSE2TWACAEOJYNRMW3A/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":"2026-06-06T02:54:30Z","links":{"resolver":"https://pith.science/pith/D3Y4JAUVSE2TWACAEOJYNRMW3A","bundle":"https://pith.science/pith/D3Y4JAUVSE2TWACAEOJYNRMW3A/bundle.json","state":"https://pith.science/pith/D3Y4JAUVSE2TWACAEOJYNRMW3A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D3Y4JAUVSE2TWACAEOJYNRMW3A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:D3Y4JAUVSE2TWACAEOJYNRMW3A","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":"543bf018eb06de7d285efedc3027f82fe5f70973dfab6e4e5946a555a2ed092e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-07-31T19:28:24Z","title_canon_sha256":"321a19f72945285f9983b63e3f3d8068733b4c9bc00d502149d749d8406d8122"},"schema_version":"1.0","source":{"id":"1507.08984","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.08984","created_at":"2026-05-18T01:30:57Z"},{"alias_kind":"arxiv_version","alias_value":"1507.08984v1","created_at":"2026-05-18T01:30:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.08984","created_at":"2026-05-18T01:30:57Z"},{"alias_kind":"pith_short_12","alias_value":"D3Y4JAUVSE2T","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"D3Y4JAUVSE2TWACA","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"D3Y4JAUV","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:2d0ebdd43345df85c9b78062f2e4e7b4f858eeb2f5c1c303fb688769005d9f6e","target":"graph","created_at":"2026-05-18T01:30:57Z","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":"Taking advantage of the natural length scale set by the cosmological constant $\\Lambda>0$, conditions on the parameters $(\\Lambda, M, a^{2})$ have been found, so that a Kerr-de Sitter specetime either describes a black hole with well separated horizons, or describes degenerate configurations where two or more horizons coincide. As long as the rotation parameter $a^{2}$ is subject to the constraint $a^{2}\\Lambda \\ll 1$, while the mass parameter $M$ is subject to: $ a^{2}[1+O(a^{2}\\Lambda)^{2})] <M^{2}< \\frac {1}{9\\Lambda}[1+2a^{2}\\Lambda+O(a^{2}\\Lambda)^{2})]$, then a Kerr-de Sitter spacetime w","authors_text":"Kayll Lake, Thomas Zannias","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-07-31T19:28:24Z","title":"On the global structure of Kerr-de Sitter spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.08984","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":"sha256:07e7f2ca7c8dbad94e479bc2ca82800c34fefb203f9c6ed0c1ab4d7763e5892a","target":"record","created_at":"2026-05-18T01:30:57Z","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":"543bf018eb06de7d285efedc3027f82fe5f70973dfab6e4e5946a555a2ed092e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-07-31T19:28:24Z","title_canon_sha256":"321a19f72945285f9983b63e3f3d8068733b4c9bc00d502149d749d8406d8122"},"schema_version":"1.0","source":{"id":"1507.08984","kind":"arxiv","version":1}},"canonical_sha256":"1ef1c4829591353b0040239386c596d83f4bf90d31a10a6ebc166461a279d53c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ef1c4829591353b0040239386c596d83f4bf90d31a10a6ebc166461a279d53c","first_computed_at":"2026-05-18T01:30:57.989134Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:57.989134Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KzW70APCBBYyTFeRn91UsPvlE2Nfg3cNFNp0eeJLP67TKQ0WxPmITLLQaXi4v3H3vAGpEwBxryR9eJuFfsXIDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:57.989567Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.08984","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07e7f2ca7c8dbad94e479bc2ca82800c34fefb203f9c6ed0c1ab4d7763e5892a","sha256:2d0ebdd43345df85c9b78062f2e4e7b4f858eeb2f5c1c303fb688769005d9f6e"],"state_sha256":"52b35053f744f807ef7f36c15e3ef91112bd253d28ab459656b40ce3da0b6215"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/17pyV0bhfbCy2VsEALko2tf+f7TdB6gu7RIsiczQlNl9M/viiBe17DEW32hlS6rAKA7gtR0w2Q9k/8Nro82Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T02:54:30.334770Z","bundle_sha256":"a216410b67f257b123bf414cb915b51f1049a7ab62045a586e457f1cc069b7c8"}}