{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1999:2SG24J63EKPFXWX2LAOBUYMVYZ","short_pith_number":"pith:2SG24J63","schema_version":"1.0","canonical_sha256":"d48dae27db229e5bdafa581c1a6195c674d312620f9be48a4368510ae06cdaec","source":{"kind":"arxiv","id":"gr-qc/9902064","version":1},"attestation_state":"computed","paper":{"title":"Stochastic Gravity","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"B. L. Hu","submitted_at":"1999-02-22T09:28:18Z","abstract_excerpt":"We give a summary of the status of current research in stochastic semiclassical gravity and suggest directions for further investigations. This theory generalizes the semiclassical Einstein equation to an Einstein-Langevin equation with a stochastic source term arising from the fluctuations of the energy-momentum tensor of quantum fields. We mention recent efforts in applying this theory to the study of black hole fluctuations and backreaction problems, linear response of hot flat space, and structure formation in inflationary cosmology. To explore the physical meaning and implications of this"},"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":"gr-qc/9902064","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1999-02-22T09:28:18Z","cross_cats_sorted":[],"title_canon_sha256":"f94b3fe51ea94f2510f17981db5e96a6ff0fc0428d1ca7b4ad984ddbcd09d0a8","abstract_canon_sha256":"6b1f5db820fb0999b9245695ce7968f473f00493aa535a726e5b301aed9ee9d8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:27:12.622819Z","signature_b64":"lBS7Tzj1wDa8DHoxcyjHJv2ODGq1AKTLFNGasqT1r3+R1yjD+SwP0juOwwdG4piAWrWqX6niIq0weagZLrGmDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d48dae27db229e5bdafa581c1a6195c674d312620f9be48a4368510ae06cdaec","last_reissued_at":"2026-07-04T15:27:12.622432Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:27:12.622432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stochastic Gravity","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"B. L. Hu","submitted_at":"1999-02-22T09:28:18Z","abstract_excerpt":"We give a summary of the status of current research in stochastic semiclassical gravity and suggest directions for further investigations. This theory generalizes the semiclassical Einstein equation to an Einstein-Langevin equation with a stochastic source term arising from the fluctuations of the energy-momentum tensor of quantum fields. We mention recent efforts in applying this theory to the study of black hole fluctuations and backreaction problems, linear response of hot flat space, and structure formation in inflationary cosmology. To explore the physical meaning and implications of this"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9902064","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/gr-qc/9902064/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"gr-qc/9902064","created_at":"2026-07-04T15:27:12.622488+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9902064v1","created_at":"2026-07-04T15:27:12.622488+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9902064","created_at":"2026-07-04T15:27:12.622488+00:00"},{"alias_kind":"pith_short_12","alias_value":"2SG24J63EKPF","created_at":"2026-07-04T15:27:12.622488+00:00"},{"alias_kind":"pith_short_16","alias_value":"2SG24J63EKPFXWX2","created_at":"2026-07-04T15:27:12.622488+00:00"},{"alias_kind":"pith_short_8","alias_value":"2SG24J63","created_at":"2026-07-04T15:27:12.622488+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.21252","citing_title":"QCD-Gravity double copy in Regge asymptotics: from $2\\rightarrow n$ amplitudes to radiation in shockwave collisions","ref_index":292,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2SG24J63EKPFXWX2LAOBUYMVYZ","json":"https://pith.science/pith/2SG24J63EKPFXWX2LAOBUYMVYZ.json","graph_json":"https://pith.science/api/pith-number/2SG24J63EKPFXWX2LAOBUYMVYZ/graph.json","events_json":"https://pith.science/api/pith-number/2SG24J63EKPFXWX2LAOBUYMVYZ/events.json","paper":"https://pith.science/paper/2SG24J63"},"agent_actions":{"view_html":"https://pith.science/pith/2SG24J63EKPFXWX2LAOBUYMVYZ","download_json":"https://pith.science/pith/2SG24J63EKPFXWX2LAOBUYMVYZ.json","view_paper":"https://pith.science/paper/2SG24J63","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/9902064&json=true","fetch_graph":"https://pith.science/api/pith-number/2SG24J63EKPFXWX2LAOBUYMVYZ/graph.json","fetch_events":"https://pith.science/api/pith-number/2SG24J63EKPFXWX2LAOBUYMVYZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2SG24J63EKPFXWX2LAOBUYMVYZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2SG24J63EKPFXWX2LAOBUYMVYZ/action/storage_attestation","attest_author":"https://pith.science/pith/2SG24J63EKPFXWX2LAOBUYMVYZ/action/author_attestation","sign_citation":"https://pith.science/pith/2SG24J63EKPFXWX2LAOBUYMVYZ/action/citation_signature","submit_replication":"https://pith.science/pith/2SG24J63EKPFXWX2LAOBUYMVYZ/action/replication_record"}},"created_at":"2026-07-04T15:27:12.622488+00:00","updated_at":"2026-07-04T15:27:12.622488+00:00"}