{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:UF73LRXCTRT2ZICPSBGLTBK7W6","short_pith_number":"pith:UF73LRXC","canonical_record":{"source":{"id":"1401.8166","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-01-31T14:03:56Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"8b402ad3fe3bd7d2a8ef8ef88b9411856dc7773f534c804b3d9920effad1f64a","abstract_canon_sha256":"f0b57fad88aba9d030067d9c2948ae7e3f1029ac6f62d874bc2c45469a636e4d"},"schema_version":"1.0"},"canonical_sha256":"a17fb5c6e29c67aca04f904cb9855fb78f9d435248c8077bc9dcc43872be707b","source":{"kind":"arxiv","id":"1401.8166","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.8166","created_at":"2026-05-18T01:44:54Z"},{"alias_kind":"arxiv_version","alias_value":"1401.8166v2","created_at":"2026-05-18T01:44:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.8166","created_at":"2026-05-18T01:44:54Z"},{"alias_kind":"pith_short_12","alias_value":"UF73LRXCTRT2","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UF73LRXCTRT2ZICP","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UF73LRXC","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:UF73LRXCTRT2ZICPSBGLTBK7W6","target":"record","payload":{"canonical_record":{"source":{"id":"1401.8166","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-01-31T14:03:56Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"8b402ad3fe3bd7d2a8ef8ef88b9411856dc7773f534c804b3d9920effad1f64a","abstract_canon_sha256":"f0b57fad88aba9d030067d9c2948ae7e3f1029ac6f62d874bc2c45469a636e4d"},"schema_version":"1.0"},"canonical_sha256":"a17fb5c6e29c67aca04f904cb9855fb78f9d435248c8077bc9dcc43872be707b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:44:54.054505Z","signature_b64":"PwjnVEEF6qH0CbSZqSnkTfhM6RMj7ctCO8ln40U3fYudNU/sMJkogNy5QIsD6TlxGjSr5Co6Yc/Wz17id669Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a17fb5c6e29c67aca04f904cb9855fb78f9d435248c8077bc9dcc43872be707b","last_reissued_at":"2026-05-18T01:44:54.054010Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:44:54.054010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.8166","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":"2026-05-18T01:44:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8tLw8wKIWYW254GkoDjCEM9Mj/r613ApPKjyk06k6WfpFGDJs076WhsKI3EF3/lYAw9i9VRHJqXea/LM3LtsDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:02:03.790546Z"},"content_sha256":"02f1a2ade896fed384a8100e1ab071b13a84f91544c8715be72b314e527a987f","schema_version":"1.0","event_id":"sha256:02f1a2ade896fed384a8100e1ab071b13a84f91544c8715be72b314e527a987f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:UF73LRXCTRT2ZICPSBGLTBK7W6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometric inequalities for 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":"2014-01-31T14:03:56Z","abstract_excerpt":"It is well known that the three parameters that characterize the Kerr black hole (mass, angular momentum and horizon area) satisfy several important inequalities. Remarkably, some of these inequalities remain valid also 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. In this article recent results in this subject are reviewed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.8166","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":"2026-05-18T01:44:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GpO05CbGQanhNSsI+cikBjwA4zW2zO9z8PNK36+zZ198yFPqsLvOMvP4iCNc6l52j+4CORCzM4LHYq0Bisc8Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:02:03.791187Z"},"content_sha256":"c59ae158e34e3fdc5016a99fc21cb49517408e187bc63f452afc9c6149c9e43a","schema_version":"1.0","event_id":"sha256:c59ae158e34e3fdc5016a99fc21cb49517408e187bc63f452afc9c6149c9e43a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UF73LRXCTRT2ZICPSBGLTBK7W6/bundle.json","state_url":"https://pith.science/pith/UF73LRXCTRT2ZICPSBGLTBK7W6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UF73LRXCTRT2ZICPSBGLTBK7W6/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":"2026-05-26T18:02:03Z","links":{"resolver":"https://pith.science/pith/UF73LRXCTRT2ZICPSBGLTBK7W6","bundle":"https://pith.science/pith/UF73LRXCTRT2ZICPSBGLTBK7W6/bundle.json","state":"https://pith.science/pith/UF73LRXCTRT2ZICPSBGLTBK7W6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UF73LRXCTRT2ZICPSBGLTBK7W6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:UF73LRXCTRT2ZICPSBGLTBK7W6","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":"f0b57fad88aba9d030067d9c2948ae7e3f1029ac6f62d874bc2c45469a636e4d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-01-31T14:03:56Z","title_canon_sha256":"8b402ad3fe3bd7d2a8ef8ef88b9411856dc7773f534c804b3d9920effad1f64a"},"schema_version":"1.0","source":{"id":"1401.8166","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.8166","created_at":"2026-05-18T01:44:54Z"},{"alias_kind":"arxiv_version","alias_value":"1401.8166v2","created_at":"2026-05-18T01:44:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.8166","created_at":"2026-05-18T01:44:54Z"},{"alias_kind":"pith_short_12","alias_value":"UF73LRXCTRT2","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UF73LRXCTRT2ZICP","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UF73LRXC","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:c59ae158e34e3fdc5016a99fc21cb49517408e187bc63f452afc9c6149c9e43a","target":"graph","created_at":"2026-05-18T01:44:54Z","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":"It is well known that the three parameters that characterize the Kerr black hole (mass, angular momentum and horizon area) satisfy several important inequalities. Remarkably, some of these inequalities remain valid also 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. In this article recent results in this subject are reviewed.","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":"2014-01-31T14:03:56Z","title":"Geometric inequalities for black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.8166","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":"sha256:02f1a2ade896fed384a8100e1ab071b13a84f91544c8715be72b314e527a987f","target":"record","created_at":"2026-05-18T01:44:54Z","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":"f0b57fad88aba9d030067d9c2948ae7e3f1029ac6f62d874bc2c45469a636e4d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-01-31T14:03:56Z","title_canon_sha256":"8b402ad3fe3bd7d2a8ef8ef88b9411856dc7773f534c804b3d9920effad1f64a"},"schema_version":"1.0","source":{"id":"1401.8166","kind":"arxiv","version":2}},"canonical_sha256":"a17fb5c6e29c67aca04f904cb9855fb78f9d435248c8077bc9dcc43872be707b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a17fb5c6e29c67aca04f904cb9855fb78f9d435248c8077bc9dcc43872be707b","first_computed_at":"2026-05-18T01:44:54.054010Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:54.054010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PwjnVEEF6qH0CbSZqSnkTfhM6RMj7ctCO8ln40U3fYudNU/sMJkogNy5QIsD6TlxGjSr5Co6Yc/Wz17id669Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:54.054505Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.8166","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02f1a2ade896fed384a8100e1ab071b13a84f91544c8715be72b314e527a987f","sha256:c59ae158e34e3fdc5016a99fc21cb49517408e187bc63f452afc9c6149c9e43a"],"state_sha256":"30936c7cc66156df3da931266ab2ba644184e15f1a8dce8b0cfbee671ef0ff4a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PnT9Lzwas+a2BNmc1tYxdnx2vJ5HmBuhAuqG9E8vhDLlWouf8gvc0GzhkBF8KKJsZp8tK8cgEwfOOcshPJ3vBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T18:02:03.794883Z","bundle_sha256":"6f8de96b03784508958e829eea633937180f54144dcbdde8a33506ed8cb5fb35"}}