{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:YH2CSW5FRJ3VWQ7KZMOGHYCKDT","short_pith_number":"pith:YH2CSW5F","canonical_record":{"source":{"id":"1111.3615","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-11-15T19:35:02Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"cd5ab88b06306e52c7080ebc6456ce2deafb5109fd0644abe57bb0f6cf9380ca","abstract_canon_sha256":"81662f89d582761136a4a5b820e384ca9ce990cc2e3306271a5d1ab5685c777a"},"schema_version":"1.0"},"canonical_sha256":"c1f4295ba58a775b43eacb1c63e04a1cc60b1faba7042960f98ec407ad1652ef","source":{"kind":"arxiv","id":"1111.3615","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.3615","created_at":"2026-05-18T01:59:32Z"},{"alias_kind":"arxiv_version","alias_value":"1111.3615v2","created_at":"2026-05-18T01:59:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3615","created_at":"2026-05-18T01:59:32Z"},{"alias_kind":"pith_short_12","alias_value":"YH2CSW5FRJ3V","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YH2CSW5FRJ3VWQ7K","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YH2CSW5F","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:YH2CSW5FRJ3VWQ7KZMOGHYCKDT","target":"record","payload":{"canonical_record":{"source":{"id":"1111.3615","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-11-15T19:35:02Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"cd5ab88b06306e52c7080ebc6456ce2deafb5109fd0644abe57bb0f6cf9380ca","abstract_canon_sha256":"81662f89d582761136a4a5b820e384ca9ce990cc2e3306271a5d1ab5685c777a"},"schema_version":"1.0"},"canonical_sha256":"c1f4295ba58a775b43eacb1c63e04a1cc60b1faba7042960f98ec407ad1652ef","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:32.887557Z","signature_b64":"OydFW5norgNtwmtfGcFLVjZCLNZrgA4yTIMANxn3GMe3g7ggMQBynvpzbgrPTwoAHFl/NnZTm4naUlO1iuDCDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c1f4295ba58a775b43eacb1c63e04a1cc60b1faba7042960f98ec407ad1652ef","last_reissued_at":"2026-05-18T01:59:32.886726Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:32.886726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.3615","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":"2026-05-18T01:59:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+xcpPpFKDGAdMLwRVRnyYtohHIOYvIJ/0yUfZnIEvYgITYXeYpHGjqJoTNk/jHFe5XHgm0gfCPa0ndY4nH+oDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:24:00.819000Z"},"content_sha256":"95fb5a2d15c6bb39a29d464c766e77b2c083d7bccf2a5c84782da3167e63edb9","schema_version":"1.0","event_id":"sha256:95fb5a2d15c6bb39a29d464c766e77b2c083d7bccf2a5c84782da3167e63edb9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:YH2CSW5FRJ3VWQ7KZMOGHYCKDT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometric inequalities for axially symmetric black holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Sergio Dain","submitted_at":"2011-11-15T19:35:02Z","abstract_excerpt":"A geometric inequality in General Relativity relates quantities that have both a physical interpretation and a geometrical definition. It is well known that the parameters that characterize the Kerr-Newman black hole satisfy several important geometric inequalities. Remarkably enough, some of these inequalities also hold for dynamical black holes. This kind of inequalities play an important role in the characterization of the gravitational collapse, they are closed related with the cosmic censorship conjecture. Axially symmetric black holes are the natural candidates to study these inequalitie"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3615","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":"2026-05-18T01:59:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gsCjpAI3fsSwuWDfu+fBaDNDD7d/6HEmhjHj9c10ql9tqlnClHpHz42ogZ4lB+rrIZf3EKo/mJeTJ9MwsXHnBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:24:00.819609Z"},"content_sha256":"89468f90fc85d46bdbec9016eb5a20848f8ee6510488970bb666687eae607de9","schema_version":"1.0","event_id":"sha256:89468f90fc85d46bdbec9016eb5a20848f8ee6510488970bb666687eae607de9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YH2CSW5FRJ3VWQ7KZMOGHYCKDT/bundle.json","state_url":"https://pith.science/pith/YH2CSW5FRJ3VWQ7KZMOGHYCKDT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YH2CSW5FRJ3VWQ7KZMOGHYCKDT/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":"2026-05-26T20:24:00Z","links":{"resolver":"https://pith.science/pith/YH2CSW5FRJ3VWQ7KZMOGHYCKDT","bundle":"https://pith.science/pith/YH2CSW5FRJ3VWQ7KZMOGHYCKDT/bundle.json","state":"https://pith.science/pith/YH2CSW5FRJ3VWQ7KZMOGHYCKDT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YH2CSW5FRJ3VWQ7KZMOGHYCKDT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:YH2CSW5FRJ3VWQ7KZMOGHYCKDT","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":"81662f89d582761136a4a5b820e384ca9ce990cc2e3306271a5d1ab5685c777a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-11-15T19:35:02Z","title_canon_sha256":"cd5ab88b06306e52c7080ebc6456ce2deafb5109fd0644abe57bb0f6cf9380ca"},"schema_version":"1.0","source":{"id":"1111.3615","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.3615","created_at":"2026-05-18T01:59:32Z"},{"alias_kind":"arxiv_version","alias_value":"1111.3615v2","created_at":"2026-05-18T01:59:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3615","created_at":"2026-05-18T01:59:32Z"},{"alias_kind":"pith_short_12","alias_value":"YH2CSW5FRJ3V","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YH2CSW5FRJ3VWQ7K","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YH2CSW5F","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:89468f90fc85d46bdbec9016eb5a20848f8ee6510488970bb666687eae607de9","target":"graph","created_at":"2026-05-18T01:59:32Z","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":"A geometric inequality in General Relativity relates quantities that have both a physical interpretation and a geometrical definition. It is well known that the parameters that characterize the Kerr-Newman black hole satisfy several important geometric inequalities. Remarkably enough, some of these inequalities also hold for dynamical black holes. This kind of inequalities play an important role in the characterization of the gravitational collapse, they are closed related with the cosmic censorship conjecture. Axially symmetric black holes are the natural candidates to study these inequalitie","authors_text":"Sergio Dain","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-11-15T19:35:02Z","title":"Geometric inequalities for axially symmetric black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3615","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":"sha256:95fb5a2d15c6bb39a29d464c766e77b2c083d7bccf2a5c84782da3167e63edb9","target":"record","created_at":"2026-05-18T01:59:32Z","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":"81662f89d582761136a4a5b820e384ca9ce990cc2e3306271a5d1ab5685c777a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-11-15T19:35:02Z","title_canon_sha256":"cd5ab88b06306e52c7080ebc6456ce2deafb5109fd0644abe57bb0f6cf9380ca"},"schema_version":"1.0","source":{"id":"1111.3615","kind":"arxiv","version":2}},"canonical_sha256":"c1f4295ba58a775b43eacb1c63e04a1cc60b1faba7042960f98ec407ad1652ef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c1f4295ba58a775b43eacb1c63e04a1cc60b1faba7042960f98ec407ad1652ef","first_computed_at":"2026-05-18T01:59:32.886726Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:32.886726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OydFW5norgNtwmtfGcFLVjZCLNZrgA4yTIMANxn3GMe3g7ggMQBynvpzbgrPTwoAHFl/NnZTm4naUlO1iuDCDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:32.887557Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.3615","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95fb5a2d15c6bb39a29d464c766e77b2c083d7bccf2a5c84782da3167e63edb9","sha256:89468f90fc85d46bdbec9016eb5a20848f8ee6510488970bb666687eae607de9"],"state_sha256":"b3048c4e9ccf4f7bd5851413f33c839a3835ba721e4df927314273ca0c2e4edb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7XoHLGdhpl9gQ4PPt+gUYQQMxvUwjJRj+aC7TSUqy/g6upyGFP0koQVjoUubfvT6ZdyHA0GKcEP+gi4AsUdQAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T20:24:00.822798Z","bundle_sha256":"8d035e7781ec7d25ebf5610b268dde8e847784cf8b14f8524e687d820cf2c305"}}