{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:AJ2OGJLUKBP4E6CPUIGOYBA4WH","short_pith_number":"pith:AJ2OGJLU","schema_version":"1.0","canonical_sha256":"0274e32574505fc2784fa20cec041cb1d78ad5906c54e50122f91e579cfc0edc","source":{"kind":"arxiv","id":"1207.3002","version":3},"attestation_state":"computed","paper":{"title":"Damping of phase fluctuations in superfluid Bose gases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Andreas Kreisel, Peter Kopietz, Philipp Lange","submitted_at":"2012-07-12T15:36:59Z","abstract_excerpt":"Using Popov's hydrodynamic approach we derive an effective Euclidean action for the long-wavelength phase fluctuations of superfluid Bose gases in D dimensions. We then use this action to calculate the damping of phase fluctuations at zero temperature as a function of D. For D >1 and wavevectors | k | << 2 mc (where m is the mass of the bosons and c is the sound velocity) we find that the damping in units of the phonon energy E_k = c | k | is to leading order gamma_k / E_k = A_D (k_0^D / 2 pi rho) (| k | / k_0)^{2 D -2}, where rho is the boson density and k_0 =2 mc is the inverse healing lengt"},"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":"1207.3002","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-07-12T15:36:59Z","cross_cats_sorted":[],"title_canon_sha256":"98a02cff01e52b24b3c471cef4332b9c73f5441b184c89fa4cd542f47b4d8217","abstract_canon_sha256":"8b28b2f75603f7d084c3eb65fbddef731a32e62b7c85554aebd1b103a103583d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:40:36.037824Z","signature_b64":"wyG38VlafMOtE5PXGuy5efsdbLVdV0WhIdJohQBJJ+aVuOvSuxREp72Lvfzx/qi4CQujz7wCTzjLBwmYSgCgDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0274e32574505fc2784fa20cec041cb1d78ad5906c54e50122f91e579cfc0edc","last_reissued_at":"2026-05-18T03:40:36.036981Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:40:36.036981Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Damping of phase fluctuations in superfluid Bose gases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Andreas Kreisel, Peter Kopietz, Philipp Lange","submitted_at":"2012-07-12T15:36:59Z","abstract_excerpt":"Using Popov's hydrodynamic approach we derive an effective Euclidean action for the long-wavelength phase fluctuations of superfluid Bose gases in D dimensions. We then use this action to calculate the damping of phase fluctuations at zero temperature as a function of D. For D >1 and wavevectors | k | << 2 mc (where m is the mass of the bosons and c is the sound velocity) we find that the damping in units of the phonon energy E_k = c | k | is to leading order gamma_k / E_k = A_D (k_0^D / 2 pi rho) (| k | / k_0)^{2 D -2}, where rho is the boson density and k_0 =2 mc is the inverse healing lengt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.3002","kind":"arxiv","version":3},"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":"1207.3002","created_at":"2026-05-18T03:40:36.037128+00:00"},{"alias_kind":"arxiv_version","alias_value":"1207.3002v3","created_at":"2026-05-18T03:40:36.037128+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.3002","created_at":"2026-05-18T03:40:36.037128+00:00"},{"alias_kind":"pith_short_12","alias_value":"AJ2OGJLUKBP4","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_16","alias_value":"AJ2OGJLUKBP4E6CP","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_8","alias_value":"AJ2OGJLU","created_at":"2026-05-18T12:26:58.693483+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/AJ2OGJLUKBP4E6CPUIGOYBA4WH","json":"https://pith.science/pith/AJ2OGJLUKBP4E6CPUIGOYBA4WH.json","graph_json":"https://pith.science/api/pith-number/AJ2OGJLUKBP4E6CPUIGOYBA4WH/graph.json","events_json":"https://pith.science/api/pith-number/AJ2OGJLUKBP4E6CPUIGOYBA4WH/events.json","paper":"https://pith.science/paper/AJ2OGJLU"},"agent_actions":{"view_html":"https://pith.science/pith/AJ2OGJLUKBP4E6CPUIGOYBA4WH","download_json":"https://pith.science/pith/AJ2OGJLUKBP4E6CPUIGOYBA4WH.json","view_paper":"https://pith.science/paper/AJ2OGJLU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1207.3002&json=true","fetch_graph":"https://pith.science/api/pith-number/AJ2OGJLUKBP4E6CPUIGOYBA4WH/graph.json","fetch_events":"https://pith.science/api/pith-number/AJ2OGJLUKBP4E6CPUIGOYBA4WH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AJ2OGJLUKBP4E6CPUIGOYBA4WH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AJ2OGJLUKBP4E6CPUIGOYBA4WH/action/storage_attestation","attest_author":"https://pith.science/pith/AJ2OGJLUKBP4E6CPUIGOYBA4WH/action/author_attestation","sign_citation":"https://pith.science/pith/AJ2OGJLUKBP4E6CPUIGOYBA4WH/action/citation_signature","submit_replication":"https://pith.science/pith/AJ2OGJLUKBP4E6CPUIGOYBA4WH/action/replication_record"}},"created_at":"2026-05-18T03:40:36.037128+00:00","updated_at":"2026-05-18T03:40:36.037128+00:00"}