{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:2J3PEZU5SGPUPMB23NTDIDCODU","short_pith_number":"pith:2J3PEZU5","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"},"canonical_sha256":"d276f2669d919f47b03adb66340c4e1d2a31a8f708a5ce2e7571f66395a809e3","source":{"kind":"arxiv","id":"cond-mat/0006382","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0006382","created_at":"2026-05-18T01:40:08Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0006382v1","created_at":"2026-05-18T01:40:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0006382","created_at":"2026-05-18T01:40:08Z"},{"alias_kind":"pith_short_12","alias_value":"2J3PEZU5SGPU","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"2J3PEZU5SGPUPMB2","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"2J3PEZU5","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:2J3PEZU5SGPUPMB23NTDIDCODU","target":"record","payload":{"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"},"canonical_sha256":"d276f2669d919f47b03adb66340c4e1d2a31a8f708a5ce2e7571f66395a809e3","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"},"source_kind":"arxiv","source_id":"cond-mat/0006382","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:40:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HOyW33+86ArRNzUUWK7bzRjMWBQKe9f49TeW8Yh/E1p338gIDJgvtIOSG1pmapZ2X08zdwTRM+yWdpDamqu0AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T11:17:53.467104Z"},"content_sha256":"c19d4756030a3a60599630e5e285b67f95cf8bb34b09631467accebbb6139a28","schema_version":"1.0","event_id":"sha256:c19d4756030a3a60599630e5e285b67f95cf8bb34b09631467accebbb6139a28"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:2J3PEZU5SGPUPMB23NTDIDCODU","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:40:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0aNVKryuAKhy8VUdLq/jDXdy0K7xQQSXvRRdPaJqOUOYaAMm3ZkVzYyKPKjRsDegLzMWnMc3/OQEAjo60sCCAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T11:17:53.467859Z"},"content_sha256":"caed976912e5ebd85d36f7e4fc05e6b4ab1b60ac2fd182e8b3bd4767050dd8ea","schema_version":"1.0","event_id":"sha256:caed976912e5ebd85d36f7e4fc05e6b4ab1b60ac2fd182e8b3bd4767050dd8ea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2J3PEZU5SGPUPMB23NTDIDCODU/bundle.json","state_url":"https://pith.science/pith/2J3PEZU5SGPUPMB23NTDIDCODU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2J3PEZU5SGPUPMB23NTDIDCODU/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-11T11:17:53Z","links":{"resolver":"https://pith.science/pith/2J3PEZU5SGPUPMB23NTDIDCODU","bundle":"https://pith.science/pith/2J3PEZU5SGPUPMB23NTDIDCODU/bundle.json","state":"https://pith.science/pith/2J3PEZU5SGPUPMB23NTDIDCODU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2J3PEZU5SGPUPMB23NTDIDCODU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:2J3PEZU5SGPUPMB23NTDIDCODU","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"1f93533896c6bea34243c44fffd62b887aecb62417da7a63d24f33b3c81ea324","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"2000-06-23T21:18:59Z","title_canon_sha256":"f16106bdfacb12cc6c60423010958df575fc5f7b9addb4b60cccfb8ee1a1c796"},"schema_version":"1.0","source":{"id":"cond-mat/0006382","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0006382","created_at":"2026-05-18T01:40:08Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0006382v1","created_at":"2026-05-18T01:40:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0006382","created_at":"2026-05-18T01:40:08Z"},{"alias_kind":"pith_short_12","alias_value":"2J3PEZU5SGPU","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"2J3PEZU5SGPUPMB2","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"2J3PEZU5","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:caed976912e5ebd85d36f7e4fc05e6b4ab1b60ac2fd182e8b3bd4767050dd8ea","target":"graph","created_at":"2026-05-18T01:40:08Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Allan Griffin","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"2000-06-23T21:18:59Z","title":"Condensate Oscillations, Kinetic Equations and Two-Fluid Hydrodynamics in a Bose Gas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0006382","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c19d4756030a3a60599630e5e285b67f95cf8bb34b09631467accebbb6139a28","target":"record","created_at":"2026-05-18T01:40:08Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"1f93533896c6bea34243c44fffd62b887aecb62417da7a63d24f33b3c81ea324","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"2000-06-23T21:18:59Z","title_canon_sha256":"f16106bdfacb12cc6c60423010958df575fc5f7b9addb4b60cccfb8ee1a1c796"},"schema_version":"1.0","source":{"id":"cond-mat/0006382","kind":"arxiv","version":1}},"canonical_sha256":"d276f2669d919f47b03adb66340c4e1d2a31a8f708a5ce2e7571f66395a809e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d276f2669d919f47b03adb66340c4e1d2a31a8f708a5ce2e7571f66395a809e3","first_computed_at":"2026-05-18T01:40:08.395974Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:08.395974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FyyAoyHRveK4J0V5EkHz/w2opB8D1bOIzNqF3APiXT5pChf55aBTAgXrVZe+Bs05BdX8Ly9gZcULyksS76hrAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:08.396754Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0006382","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c19d4756030a3a60599630e5e285b67f95cf8bb34b09631467accebbb6139a28","sha256:caed976912e5ebd85d36f7e4fc05e6b4ab1b60ac2fd182e8b3bd4767050dd8ea"],"state_sha256":"cad94866036af06df3144e61f241575c73e670e9499aed62b00dde3f4486ed8a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Evd0iOIuvvbPA1muC99REWNrZ4SgJIoum5QB4Ic1e6D6mrKld7xZF0WoYG7S3+PgZVlQKtMMJjrIGzmrBemPAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T11:17:53.471740Z","bundle_sha256":"70676b9decbc160715f1e5b7d77ab91f7b8cd0d002efaef1fd29edccafdca4a3"}}