{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:HIVWQCYKRX6BFZGCPTEIHYGDWL","short_pith_number":"pith:HIVWQCYK","schema_version":"1.0","canonical_sha256":"3a2b680b0a8dfc12e4c27cc883e0c3b2fc48d68b3aa8d18b2a53902080d9d988","source":{"kind":"arxiv","id":"quant-ph/0101006","version":1},"attestation_state":"computed","paper":{"title":"Quantum-Liouville and Langevin Equations for Gravitational Radiation Damping","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"H. Kleinert, Z. Haba","submitted_at":"2001-01-01T11:48:04Z","abstract_excerpt":"From a forward--backward path integral, we derive a master equation for the emission and absorption of gravitons by a massive quantum object in a heat bath of gravitons. Such an equation could describe collapse phenomena of dense stars. We also present a useful approximate Langevin equation for such a system."},"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":"quant-ph/0101006","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2001-01-01T11:48:04Z","cross_cats_sorted":[],"title_canon_sha256":"67349089cca1fc70083290b8863996d568c1bb3ec7b14915a891bc8fc8e75edf","abstract_canon_sha256":"eabd1bff8f63083b2f2602d8fb1c49faac9d8b6eeb0adf9d39a3858e951b3972"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:10.826742Z","signature_b64":"c+S8jQzxstcq39nFFraNdCADkGs2L0vJz2e3Y+nxI2/5zJEPxDOo77BDIs80dJxgzbdbP8n9jhxjSkCwvk9WBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a2b680b0a8dfc12e4c27cc883e0c3b2fc48d68b3aa8d18b2a53902080d9d988","last_reissued_at":"2026-05-18T04:12:10.826176Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:10.826176Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum-Liouville and Langevin Equations for Gravitational Radiation Damping","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"H. Kleinert, Z. Haba","submitted_at":"2001-01-01T11:48:04Z","abstract_excerpt":"From a forward--backward path integral, we derive a master equation for the emission and absorption of gravitons by a massive quantum object in a heat bath of gravitons. Such an equation could describe collapse phenomena of dense stars. We also present a useful approximate Langevin equation for such a system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0101006","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":""},"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":"quant-ph/0101006","created_at":"2026-05-18T04:12:10.826265+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0101006v1","created_at":"2026-05-18T04:12:10.826265+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0101006","created_at":"2026-05-18T04:12:10.826265+00:00"},{"alias_kind":"pith_short_12","alias_value":"HIVWQCYKRX6B","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_16","alias_value":"HIVWQCYKRX6BFZGC","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_8","alias_value":"HIVWQCYK","created_at":"2026-05-18T12:25:50.254431+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/HIVWQCYKRX6BFZGCPTEIHYGDWL","json":"https://pith.science/pith/HIVWQCYKRX6BFZGCPTEIHYGDWL.json","graph_json":"https://pith.science/api/pith-number/HIVWQCYKRX6BFZGCPTEIHYGDWL/graph.json","events_json":"https://pith.science/api/pith-number/HIVWQCYKRX6BFZGCPTEIHYGDWL/events.json","paper":"https://pith.science/paper/HIVWQCYK"},"agent_actions":{"view_html":"https://pith.science/pith/HIVWQCYKRX6BFZGCPTEIHYGDWL","download_json":"https://pith.science/pith/HIVWQCYKRX6BFZGCPTEIHYGDWL.json","view_paper":"https://pith.science/paper/HIVWQCYK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0101006&json=true","fetch_graph":"https://pith.science/api/pith-number/HIVWQCYKRX6BFZGCPTEIHYGDWL/graph.json","fetch_events":"https://pith.science/api/pith-number/HIVWQCYKRX6BFZGCPTEIHYGDWL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HIVWQCYKRX6BFZGCPTEIHYGDWL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HIVWQCYKRX6BFZGCPTEIHYGDWL/action/storage_attestation","attest_author":"https://pith.science/pith/HIVWQCYKRX6BFZGCPTEIHYGDWL/action/author_attestation","sign_citation":"https://pith.science/pith/HIVWQCYKRX6BFZGCPTEIHYGDWL/action/citation_signature","submit_replication":"https://pith.science/pith/HIVWQCYKRX6BFZGCPTEIHYGDWL/action/replication_record"}},"created_at":"2026-05-18T04:12:10.826265+00:00","updated_at":"2026-05-18T04:12:10.826265+00:00"}