{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:PSWXN5KMTCDGKLOOGVRZ2MEKD3","short_pith_number":"pith:PSWXN5KM","schema_version":"1.0","canonical_sha256":"7cad76f54c9886652dce35639d308a1ed648742f149fd10aceb95f101d1b2ae1","source":{"kind":"arxiv","id":"1311.6539","version":2},"attestation_state":"computed","paper":{"title":"Quantum Raychaudhuri equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"gr-qc","authors_text":"Saurya Das (University of Lethbridge)","submitted_at":"2013-11-26T01:31:43Z","abstract_excerpt":"We compute quantum corrections to the Raychaudhuri equation, by replacing classical geodesics with quantal (Bohmian) trajectories, and show that they prevent focusing of geodesics, and the formation of conjugate points. We discuss implications for the Hawking-Penrose singularity theorems, and for curvature singularities."},"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":"1311.6539","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-11-26T01:31:43Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"efcc0a2c68cee7542f455e6df8a02dcd53719a94d4c1acf56e1b57047f01c83e","abstract_canon_sha256":"71bd569959979d4d31607754a730a0f59d6dae3292dbeff70c203934112b2558"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:46:06.208258Z","signature_b64":"49JbsHRnX7VzBhWnzdJ1QGeb1/s9LDzYIkS8z+WX0VdObvFAdYchFjWqMJoA3ZFajcQD4aoGCOVZs8xRBj42Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7cad76f54c9886652dce35639d308a1ed648742f149fd10aceb95f101d1b2ae1","last_reissued_at":"2026-05-18T01:46:06.207770Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:46:06.207770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Raychaudhuri equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"gr-qc","authors_text":"Saurya Das (University of Lethbridge)","submitted_at":"2013-11-26T01:31:43Z","abstract_excerpt":"We compute quantum corrections to the Raychaudhuri equation, by replacing classical geodesics with quantal (Bohmian) trajectories, and show that they prevent focusing of geodesics, and the formation of conjugate points. We discuss implications for the Hawking-Penrose singularity theorems, and for curvature singularities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.6539","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":"1311.6539","created_at":"2026-05-18T01:46:06.207849+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.6539v2","created_at":"2026-05-18T01:46:06.207849+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.6539","created_at":"2026-05-18T01:46:06.207849+00:00"},{"alias_kind":"pith_short_12","alias_value":"PSWXN5KMTCDG","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_16","alias_value":"PSWXN5KMTCDGKLOO","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_8","alias_value":"PSWXN5KM","created_at":"2026-05-18T12:27:57.521954+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.01808","citing_title":"On gravitational collapse and integrable singularities","ref_index":22,"is_internal_anchor":true},{"citing_arxiv_id":"2605.01808","citing_title":"On gravitational collapse and integrable singularities","ref_index":22,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PSWXN5KMTCDGKLOOGVRZ2MEKD3","json":"https://pith.science/pith/PSWXN5KMTCDGKLOOGVRZ2MEKD3.json","graph_json":"https://pith.science/api/pith-number/PSWXN5KMTCDGKLOOGVRZ2MEKD3/graph.json","events_json":"https://pith.science/api/pith-number/PSWXN5KMTCDGKLOOGVRZ2MEKD3/events.json","paper":"https://pith.science/paper/PSWXN5KM"},"agent_actions":{"view_html":"https://pith.science/pith/PSWXN5KMTCDGKLOOGVRZ2MEKD3","download_json":"https://pith.science/pith/PSWXN5KMTCDGKLOOGVRZ2MEKD3.json","view_paper":"https://pith.science/paper/PSWXN5KM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.6539&json=true","fetch_graph":"https://pith.science/api/pith-number/PSWXN5KMTCDGKLOOGVRZ2MEKD3/graph.json","fetch_events":"https://pith.science/api/pith-number/PSWXN5KMTCDGKLOOGVRZ2MEKD3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PSWXN5KMTCDGKLOOGVRZ2MEKD3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PSWXN5KMTCDGKLOOGVRZ2MEKD3/action/storage_attestation","attest_author":"https://pith.science/pith/PSWXN5KMTCDGKLOOGVRZ2MEKD3/action/author_attestation","sign_citation":"https://pith.science/pith/PSWXN5KMTCDGKLOOGVRZ2MEKD3/action/citation_signature","submit_replication":"https://pith.science/pith/PSWXN5KMTCDGKLOOGVRZ2MEKD3/action/replication_record"}},"created_at":"2026-05-18T01:46:06.207849+00:00","updated_at":"2026-05-18T01:46:06.207849+00:00"}