{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:ABM6VLTYBXBQMBMOOKKN7G3ICK","short_pith_number":"pith:ABM6VLTY","schema_version":"1.0","canonical_sha256":"0059eaae780dc306058e7294df9b6812aaa4ad6188ff059bddf6db669a400706","source":{"kind":"arxiv","id":"1711.06480","version":3},"attestation_state":"computed","paper":{"title":"Hawking's area theorem with a weaker energy condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Martin Lesourd","submitted_at":"2017-11-17T10:12:52Z","abstract_excerpt":"Hawking's area theorem is a fundamental result in black hole theory that is universally associated with the null energy condition. That this condition can be weakened is illustrated by the formulation of a strengthened version of the theorem based on an energy condition that allows for violations of the null energy condition. With the semi-classical context in mind, some brief remarks pertaining to the suitability of the area theorem and its energy condition are made."},"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":"1711.06480","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-11-17T10:12:52Z","cross_cats_sorted":[],"title_canon_sha256":"f7b8bc0283ba20a224abb60f9cd284da6c01c708c69d704ad7cb3ac1034f3300","abstract_canon_sha256":"4262a75bb595657140e88c3cce0978c9e66635979a05525673281a24ce3934e7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:02.981930Z","signature_b64":"1bWBj8jrmNsmkwtyh1tN39g6oQXtGgspvwqq+ywlEhVd5YlrvVX19d/Fi4jcapfcJqBlrvrDQxWDhESIE3HyCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0059eaae780dc306058e7294df9b6812aaa4ad6188ff059bddf6db669a400706","last_reissued_at":"2026-05-18T00:16:02.981529Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:02.981529Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hawking's area theorem with a weaker energy condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Martin Lesourd","submitted_at":"2017-11-17T10:12:52Z","abstract_excerpt":"Hawking's area theorem is a fundamental result in black hole theory that is universally associated with the null energy condition. That this condition can be weakened is illustrated by the formulation of a strengthened version of the theorem based on an energy condition that allows for violations of the null energy condition. With the semi-classical context in mind, some brief remarks pertaining to the suitability of the area theorem and its energy condition are made."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.06480","kind":"arxiv","version":3},"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":"1711.06480","created_at":"2026-05-18T00:16:02.981595+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.06480v3","created_at":"2026-05-18T00:16:02.981595+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.06480","created_at":"2026-05-18T00:16:02.981595+00:00"},{"alias_kind":"pith_short_12","alias_value":"ABM6VLTYBXBQ","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_16","alias_value":"ABM6VLTYBXBQMBMO","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_8","alias_value":"ABM6VLTY","created_at":"2026-05-18T12:31:05.417338+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.18669","citing_title":"Hawking area law in quantum gravity","ref_index":146,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ABM6VLTYBXBQMBMOOKKN7G3ICK","json":"https://pith.science/pith/ABM6VLTYBXBQMBMOOKKN7G3ICK.json","graph_json":"https://pith.science/api/pith-number/ABM6VLTYBXBQMBMOOKKN7G3ICK/graph.json","events_json":"https://pith.science/api/pith-number/ABM6VLTYBXBQMBMOOKKN7G3ICK/events.json","paper":"https://pith.science/paper/ABM6VLTY"},"agent_actions":{"view_html":"https://pith.science/pith/ABM6VLTYBXBQMBMOOKKN7G3ICK","download_json":"https://pith.science/pith/ABM6VLTYBXBQMBMOOKKN7G3ICK.json","view_paper":"https://pith.science/paper/ABM6VLTY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.06480&json=true","fetch_graph":"https://pith.science/api/pith-number/ABM6VLTYBXBQMBMOOKKN7G3ICK/graph.json","fetch_events":"https://pith.science/api/pith-number/ABM6VLTYBXBQMBMOOKKN7G3ICK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ABM6VLTYBXBQMBMOOKKN7G3ICK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ABM6VLTYBXBQMBMOOKKN7G3ICK/action/storage_attestation","attest_author":"https://pith.science/pith/ABM6VLTYBXBQMBMOOKKN7G3ICK/action/author_attestation","sign_citation":"https://pith.science/pith/ABM6VLTYBXBQMBMOOKKN7G3ICK/action/citation_signature","submit_replication":"https://pith.science/pith/ABM6VLTYBXBQMBMOOKKN7G3ICK/action/replication_record"}},"created_at":"2026-05-18T00:16:02.981595+00:00","updated_at":"2026-05-18T00:16:02.981595+00:00"}