{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2000:2J3PEZU5SGPUPMB23NTDIDCODU","short_pith_number":"pith:2J3PEZU5","schema_version":"1.0","canonical_sha256":"d276f2669d919f47b03adb66340c4e1d2a31a8f708a5ce2e7571f66395a809e3","source":{"kind":"arxiv","id":"cond-mat/0006382","version":1},"attestation_state":"computed","paper":{"title":"Condensate Oscillations, Kinetic Equations and Two-Fluid Hydrodynamics in a Bose Gas","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"Allan Griffin","submitted_at":"2000-06-23T21:18:59Z","abstract_excerpt":"This is based on 4 lectures given at the 13th Australian Physics Summer School, Australia National University, Canberra, Jan 17-28, 2000. The main topic is the theory of collective modes in a trapped Bose gas at finite temperatures. A generalized Gross-Pitaevskii equation is derived at finite temperatures, which is used to discuss a new mechanism for damping in the collisionless region arising from interactions with a static thermal cloud of non-condensate atoms. Next, introducing a kinetic equation for the thermal cloud, we derive two-fluid equations of motion for the condensate and non-conde"},"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":"cond-mat/0006382","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"2000-06-23T21:18:59Z","cross_cats_sorted":[],"title_canon_sha256":"f16106bdfacb12cc6c60423010958df575fc5f7b9addb4b60cccfb8ee1a1c796","abstract_canon_sha256":"1f93533896c6bea34243c44fffd62b887aecb62417da7a63d24f33b3c81ea324"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:08.396754Z","signature_b64":"FyyAoyHRveK4J0V5EkHz/w2opB8D1bOIzNqF3APiXT5pChf55aBTAgXrVZe+Bs05BdX8Ly9gZcULyksS76hrAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d276f2669d919f47b03adb66340c4e1d2a31a8f708a5ce2e7571f66395a809e3","last_reissued_at":"2026-05-18T01:40:08.395974Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:08.395974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Condensate Oscillations, Kinetic Equations and Two-Fluid Hydrodynamics in a Bose Gas","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"Allan Griffin","submitted_at":"2000-06-23T21:18:59Z","abstract_excerpt":"This is based on 4 lectures given at the 13th Australian Physics Summer School, Australia National University, Canberra, Jan 17-28, 2000. The main topic is the theory of collective modes in a trapped Bose gas at finite temperatures. A generalized Gross-Pitaevskii equation is derived at finite temperatures, which is used to discuss a new mechanism for damping in the collisionless region arising from interactions with a static thermal cloud of non-condensate atoms. Next, introducing a kinetic equation for the thermal cloud, we derive two-fluid equations of motion for the condensate and non-conde"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0006382","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":"cond-mat/0006382","created_at":"2026-05-18T01:40:08.396098+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0006382v1","created_at":"2026-05-18T01:40:08.396098+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0006382","created_at":"2026-05-18T01:40:08.396098+00:00"},{"alias_kind":"pith_short_12","alias_value":"2J3PEZU5SGPU","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_16","alias_value":"2J3PEZU5SGPUPMB2","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_8","alias_value":"2J3PEZU5","created_at":"2026-05-18T12:25:49.631198+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/2J3PEZU5SGPUPMB23NTDIDCODU","json":"https://pith.science/pith/2J3PEZU5SGPUPMB23NTDIDCODU.json","graph_json":"https://pith.science/api/pith-number/2J3PEZU5SGPUPMB23NTDIDCODU/graph.json","events_json":"https://pith.science/api/pith-number/2J3PEZU5SGPUPMB23NTDIDCODU/events.json","paper":"https://pith.science/paper/2J3PEZU5"},"agent_actions":{"view_html":"https://pith.science/pith/2J3PEZU5SGPUPMB23NTDIDCODU","download_json":"https://pith.science/pith/2J3PEZU5SGPUPMB23NTDIDCODU.json","view_paper":"https://pith.science/paper/2J3PEZU5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0006382&json=true","fetch_graph":"https://pith.science/api/pith-number/2J3PEZU5SGPUPMB23NTDIDCODU/graph.json","fetch_events":"https://pith.science/api/pith-number/2J3PEZU5SGPUPMB23NTDIDCODU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2J3PEZU5SGPUPMB23NTDIDCODU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2J3PEZU5SGPUPMB23NTDIDCODU/action/storage_attestation","attest_author":"https://pith.science/pith/2J3PEZU5SGPUPMB23NTDIDCODU/action/author_attestation","sign_citation":"https://pith.science/pith/2J3PEZU5SGPUPMB23NTDIDCODU/action/citation_signature","submit_replication":"https://pith.science/pith/2J3PEZU5SGPUPMB23NTDIDCODU/action/replication_record"}},"created_at":"2026-05-18T01:40:08.396098+00:00","updated_at":"2026-05-18T01:40:08.396098+00:00"}