{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:MLCBQ5CZHVWTIV5VS74D4TFY2S","short_pith_number":"pith:MLCBQ5CZ","schema_version":"1.0","canonical_sha256":"62c41874593d6d3457b597f83e4cb8d4818a44ce7da12a6e432aa52cad55189a","source":{"kind":"arxiv","id":"1510.07561","version":2},"attestation_state":"computed","paper":{"title":"A local non-negative initial data scalar characterisation of the Kerr solution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Alfonso Garc\\'ia-Parrado G\\'omez-Lobo","submitted_at":"2015-10-26T17:39:47Z","abstract_excerpt":"For any vacuum initial data set, we define a local, non-negative scalar quantity which vanishes at every point of the data hypersurface if and only if the data are {\\em Kerr initial} data. Our scalar quantity only depends on the quantities used to construct the vacuum initial data set which are the Riemannian metric defined on the initial data hypersurface and a symmetric tensor which plays the role of the second fundamental form of the embedded initial data hypersurface. The dependency is {\\em algorithmic} in the sense that given the initial data one can compute the scalar quantity by algebra"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1510.07561","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-10-26T17:39:47Z","cross_cats_sorted":[],"title_canon_sha256":"7dad17166e050c84a4a446fa449dcbe97b55df10aa530f856af41a45831c24dd","abstract_canon_sha256":"2c4b2715b320057f181fe8464634c36b27fa3a7a65b8645a7a1e893ed85dcc8d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:39.496718Z","signature_b64":"odfrqwS1VScbwER1hP8vO4es7k3WOVgZbDUTnsQf3StgL+M5Op4KGgxHyM1yxTd3jLHKPzirdsWPrpWWszf4Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"62c41874593d6d3457b597f83e4cb8d4818a44ce7da12a6e432aa52cad55189a","last_reissued_at":"2026-05-18T01:23:39.496272Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:39.496272Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A local non-negative initial data scalar characterisation of the Kerr solution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Alfonso Garc\\'ia-Parrado G\\'omez-Lobo","submitted_at":"2015-10-26T17:39:47Z","abstract_excerpt":"For any vacuum initial data set, we define a local, non-negative scalar quantity which vanishes at every point of the data hypersurface if and only if the data are {\\em Kerr initial} data. Our scalar quantity only depends on the quantities used to construct the vacuum initial data set which are the Riemannian metric defined on the initial data hypersurface and a symmetric tensor which plays the role of the second fundamental form of the embedded initial data hypersurface. The dependency is {\\em algorithmic} in the sense that given the initial data one can compute the scalar quantity by algebra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.07561","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1510.07561","created_at":"2026-05-18T01:23:39.496357+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.07561v2","created_at":"2026-05-18T01:23:39.496357+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.07561","created_at":"2026-05-18T01:23:39.496357+00:00"},{"alias_kind":"pith_short_12","alias_value":"MLCBQ5CZHVWT","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_16","alias_value":"MLCBQ5CZHVWTIV5V","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_8","alias_value":"MLCBQ5CZ","created_at":"2026-05-18T12:29:32.376354+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MLCBQ5CZHVWTIV5VS74D4TFY2S","json":"https://pith.science/pith/MLCBQ5CZHVWTIV5VS74D4TFY2S.json","graph_json":"https://pith.science/api/pith-number/MLCBQ5CZHVWTIV5VS74D4TFY2S/graph.json","events_json":"https://pith.science/api/pith-number/MLCBQ5CZHVWTIV5VS74D4TFY2S/events.json","paper":"https://pith.science/paper/MLCBQ5CZ"},"agent_actions":{"view_html":"https://pith.science/pith/MLCBQ5CZHVWTIV5VS74D4TFY2S","download_json":"https://pith.science/pith/MLCBQ5CZHVWTIV5VS74D4TFY2S.json","view_paper":"https://pith.science/paper/MLCBQ5CZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.07561&json=true","fetch_graph":"https://pith.science/api/pith-number/MLCBQ5CZHVWTIV5VS74D4TFY2S/graph.json","fetch_events":"https://pith.science/api/pith-number/MLCBQ5CZHVWTIV5VS74D4TFY2S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MLCBQ5CZHVWTIV5VS74D4TFY2S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MLCBQ5CZHVWTIV5VS74D4TFY2S/action/storage_attestation","attest_author":"https://pith.science/pith/MLCBQ5CZHVWTIV5VS74D4TFY2S/action/author_attestation","sign_citation":"https://pith.science/pith/MLCBQ5CZHVWTIV5VS74D4TFY2S/action/citation_signature","submit_replication":"https://pith.science/pith/MLCBQ5CZHVWTIV5VS74D4TFY2S/action/replication_record"}},"created_at":"2026-05-18T01:23:39.496357+00:00","updated_at":"2026-05-18T01:23:39.496357+00:00"}