{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:5DEXVCEUBEEA25HNRMJMK46ED4","short_pith_number":"pith:5DEXVCEU","canonical_record":{"source":{"id":"cond-mat/0505139","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2005-05-05T19:39:01Z","cross_cats_sorted":[],"title_canon_sha256":"5e38c71cda15a5d3c0b0e9e1cd5549bfbdf619b617d3f878f46fc626fd577599","abstract_canon_sha256":"e9bf03d33c9b51da0b1cecd9ca5669abb7f8a8ddc8c158ec6537f41ab9f1959e"},"schema_version":"1.0"},"canonical_sha256":"e8c97a889409080d74ed8b12c573c41f3fe0fcadd8b4d2e02cb501d7511ae710","source":{"kind":"arxiv","id":"cond-mat/0505139","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0505139","created_at":"2026-05-18T01:06:52Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0505139v2","created_at":"2026-05-18T01:06:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0505139","created_at":"2026-05-18T01:06:52Z"},{"alias_kind":"pith_short_12","alias_value":"5DEXVCEUBEEA","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"5DEXVCEUBEEA25HN","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"5DEXVCEU","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:5DEXVCEUBEEA25HNRMJMK46ED4","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0505139","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2005-05-05T19:39:01Z","cross_cats_sorted":[],"title_canon_sha256":"5e38c71cda15a5d3c0b0e9e1cd5549bfbdf619b617d3f878f46fc626fd577599","abstract_canon_sha256":"e9bf03d33c9b51da0b1cecd9ca5669abb7f8a8ddc8c158ec6537f41ab9f1959e"},"schema_version":"1.0"},"canonical_sha256":"e8c97a889409080d74ed8b12c573c41f3fe0fcadd8b4d2e02cb501d7511ae710","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:52.731909Z","signature_b64":"BLc2r8HWYk7BFlT6z7+cYkR8p5bA1HHChpPwR5lUOgqBLr0/bUmgjbtAX+0ji6R8uPBhOOP+6zcVzeKdUvgBCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e8c97a889409080d74ed8b12c573c41f3fe0fcadd8b4d2e02cb501d7511ae710","last_reissued_at":"2026-05-18T01:06:52.731478Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:52.731478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0505139","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:06:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J7HoeWSM7bbkU14MKIInbNUutL8LdZaZOZo67OdZy1BOH3fdfkrJqcq1uT36N/VteMAwD3DLQO2abQRntHH3Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:12:36.579384Z"},"content_sha256":"24b60ab8446090f9a20ac81136fed3a29e0e172fea4057ccc3660ff1888bf754","schema_version":"1.0","event_id":"sha256:24b60ab8446090f9a20ac81136fed3a29e0e172fea4057ccc3660ff1888bf754"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:5DEXVCEUBEEA25HNRMJMK46ED4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hydrodynamic Modes in a Trapped Strongly Interacting Fermi Gases of Atoms","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Alexander L. Zubarev, Yeong E. Kim","submitted_at":"2005-05-05T19:39:01Z","abstract_excerpt":"The zero-temperature properties of a dilute two-component Fermi gas in the BCS-BEC crossover are investigated. On the basis of a generalization of the variational Schwinger method, we construct approximate semi-analytical formulae for collective frequencies of the radial and the axial breathing modes of the Fermi gas under harmonic confinement in the framework of the hydrodynamic theory. It is shown that the method gives nearly exact solutions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0505139","kind":"arxiv","version":2},"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":"2026-05-18T01:06:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"12YI5zFfBqBOoimxh3pn8qFw6kB8YeVznvm5fDdLYUHfrKbNpqZv1Go8/QaKAYg2djKdZKWTTGL8Qmf0mQsUAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:12:36.580020Z"},"content_sha256":"a82c1009e440b6ca0f3fb4b204d25145a4b8cd0dad3c06d8d546d1f0551e2249","schema_version":"1.0","event_id":"sha256:a82c1009e440b6ca0f3fb4b204d25145a4b8cd0dad3c06d8d546d1f0551e2249"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5DEXVCEUBEEA25HNRMJMK46ED4/bundle.json","state_url":"https://pith.science/pith/5DEXVCEUBEEA25HNRMJMK46ED4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5DEXVCEUBEEA25HNRMJMK46ED4/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":"2026-05-28T19:12:36Z","links":{"resolver":"https://pith.science/pith/5DEXVCEUBEEA25HNRMJMK46ED4","bundle":"https://pith.science/pith/5DEXVCEUBEEA25HNRMJMK46ED4/bundle.json","state":"https://pith.science/pith/5DEXVCEUBEEA25HNRMJMK46ED4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5DEXVCEUBEEA25HNRMJMK46ED4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:5DEXVCEUBEEA25HNRMJMK46ED4","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":"e9bf03d33c9b51da0b1cecd9ca5669abb7f8a8ddc8c158ec6537f41ab9f1959e","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2005-05-05T19:39:01Z","title_canon_sha256":"5e38c71cda15a5d3c0b0e9e1cd5549bfbdf619b617d3f878f46fc626fd577599"},"schema_version":"1.0","source":{"id":"cond-mat/0505139","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0505139","created_at":"2026-05-18T01:06:52Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0505139v2","created_at":"2026-05-18T01:06:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0505139","created_at":"2026-05-18T01:06:52Z"},{"alias_kind":"pith_short_12","alias_value":"5DEXVCEUBEEA","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"5DEXVCEUBEEA25HN","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"5DEXVCEU","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:a82c1009e440b6ca0f3fb4b204d25145a4b8cd0dad3c06d8d546d1f0551e2249","target":"graph","created_at":"2026-05-18T01:06:52Z","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":"The zero-temperature properties of a dilute two-component Fermi gas in the BCS-BEC crossover are investigated. On the basis of a generalization of the variational Schwinger method, we construct approximate semi-analytical formulae for collective frequencies of the radial and the axial breathing modes of the Fermi gas under harmonic confinement in the framework of the hydrodynamic theory. It is shown that the method gives nearly exact solutions.","authors_text":"Alexander L. Zubarev, Yeong E. Kim","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2005-05-05T19:39:01Z","title":"Hydrodynamic Modes in a Trapped Strongly Interacting Fermi Gases of Atoms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0505139","kind":"arxiv","version":2},"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":"sha256:24b60ab8446090f9a20ac81136fed3a29e0e172fea4057ccc3660ff1888bf754","target":"record","created_at":"2026-05-18T01:06:52Z","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":"e9bf03d33c9b51da0b1cecd9ca5669abb7f8a8ddc8c158ec6537f41ab9f1959e","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2005-05-05T19:39:01Z","title_canon_sha256":"5e38c71cda15a5d3c0b0e9e1cd5549bfbdf619b617d3f878f46fc626fd577599"},"schema_version":"1.0","source":{"id":"cond-mat/0505139","kind":"arxiv","version":2}},"canonical_sha256":"e8c97a889409080d74ed8b12c573c41f3fe0fcadd8b4d2e02cb501d7511ae710","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8c97a889409080d74ed8b12c573c41f3fe0fcadd8b4d2e02cb501d7511ae710","first_computed_at":"2026-05-18T01:06:52.731478Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:52.731478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BLc2r8HWYk7BFlT6z7+cYkR8p5bA1HHChpPwR5lUOgqBLr0/bUmgjbtAX+0ji6R8uPBhOOP+6zcVzeKdUvgBCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:52.731909Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0505139","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:24b60ab8446090f9a20ac81136fed3a29e0e172fea4057ccc3660ff1888bf754","sha256:a82c1009e440b6ca0f3fb4b204d25145a4b8cd0dad3c06d8d546d1f0551e2249"],"state_sha256":"72ac831a89628899109dc2a95ff3da28dcad7ee5d1c07f5025d0d9e7c235104c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XHyF5Nggs6UNs7NoFStPOrfteS4dqq6ZFt1XSdlskgMwMKODJXMwtoUlNTLHJDfxvUonqcjSf8g6BdO1X9CaDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T19:12:36.582721Z","bundle_sha256":"f93ff36986764160b63768b855300db1148a3810ea18b13c46c31aeb430c0dea"}}