{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:BL7JRORQEQDAMJRWDV25OWM4IZ","short_pith_number":"pith:BL7JRORQ","schema_version":"1.0","canonical_sha256":"0afe98ba3024060626361d75d7599c4662ef0e097f034532fc81d0d7864cdf62","source":{"kind":"arxiv","id":"1205.1525","version":3},"attestation_state":"computed","paper":{"title":"Apparent low-energy scale invariance in two-dimensional Fermi gases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","nucl-th"],"primary_cat":"cond-mat.quant-gas","authors_text":"Edward Taylor, Mohit Randeria","submitted_at":"2012-05-07T20:06:49Z","abstract_excerpt":"Recent experiments on a $\\2d$ Fermi gas find an undamped breathing mode at twice the trap frequency over a wide range of parameters. To understand this seemingly scale-invariant behavior in a system with a scale, we derive two exact results valid across the entire BCS-BEC crossover at all temperatures. First, we relate the shift of the mode frequency from its scale-invariant value to $\\gamma_d \\equiv (1+2/d)P-\\rho(\\partial P/\\partial\\rho)_s$ in $d$ dimensions. Next, we relate $\\gamma_d$ to dissipation via a new low-energy bulk viscosity sum rule. We argue that $\\2d$ is special, with its logari"},"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":"1205.1525","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-05-07T20:06:49Z","cross_cats_sorted":["hep-ph","nucl-th"],"title_canon_sha256":"9572aab860960d4659974c9995b3988871cc7e30970b550d497bcd2dfaaa57a2","abstract_canon_sha256":"cfe24aa42e29d3dfa8a37c6de66130b7b8d9ae34af3b7d400a7168767d204872"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:47.093295Z","signature_b64":"UvUTUyfA6H0ihE/++xFmp2zIUYeqCtGuvhBBqYpU4+9F2D1SexsyR7EEwm57gfRWZSNsxgu0769Pp879OPJ8Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0afe98ba3024060626361d75d7599c4662ef0e097f034532fc81d0d7864cdf62","last_reissued_at":"2026-05-18T03:44:47.092644Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:47.092644Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Apparent low-energy scale invariance in two-dimensional Fermi gases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","nucl-th"],"primary_cat":"cond-mat.quant-gas","authors_text":"Edward Taylor, Mohit Randeria","submitted_at":"2012-05-07T20:06:49Z","abstract_excerpt":"Recent experiments on a $\\2d$ Fermi gas find an undamped breathing mode at twice the trap frequency over a wide range of parameters. To understand this seemingly scale-invariant behavior in a system with a scale, we derive two exact results valid across the entire BCS-BEC crossover at all temperatures. First, we relate the shift of the mode frequency from its scale-invariant value to $\\gamma_d \\equiv (1+2/d)P-\\rho(\\partial P/\\partial\\rho)_s$ in $d$ dimensions. Next, we relate $\\gamma_d$ to dissipation via a new low-energy bulk viscosity sum rule. We argue that $\\2d$ is special, with its logari"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.1525","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":"1205.1525","created_at":"2026-05-18T03:44:47.092748+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.1525v3","created_at":"2026-05-18T03:44:47.092748+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.1525","created_at":"2026-05-18T03:44:47.092748+00:00"},{"alias_kind":"pith_short_12","alias_value":"BL7JRORQEQDA","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_16","alias_value":"BL7JRORQEQDAMJRW","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_8","alias_value":"BL7JRORQ","created_at":"2026-05-18T12:27:01.376967+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/BL7JRORQEQDAMJRWDV25OWM4IZ","json":"https://pith.science/pith/BL7JRORQEQDAMJRWDV25OWM4IZ.json","graph_json":"https://pith.science/api/pith-number/BL7JRORQEQDAMJRWDV25OWM4IZ/graph.json","events_json":"https://pith.science/api/pith-number/BL7JRORQEQDAMJRWDV25OWM4IZ/events.json","paper":"https://pith.science/paper/BL7JRORQ"},"agent_actions":{"view_html":"https://pith.science/pith/BL7JRORQEQDAMJRWDV25OWM4IZ","download_json":"https://pith.science/pith/BL7JRORQEQDAMJRWDV25OWM4IZ.json","view_paper":"https://pith.science/paper/BL7JRORQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.1525&json=true","fetch_graph":"https://pith.science/api/pith-number/BL7JRORQEQDAMJRWDV25OWM4IZ/graph.json","fetch_events":"https://pith.science/api/pith-number/BL7JRORQEQDAMJRWDV25OWM4IZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BL7JRORQEQDAMJRWDV25OWM4IZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BL7JRORQEQDAMJRWDV25OWM4IZ/action/storage_attestation","attest_author":"https://pith.science/pith/BL7JRORQEQDAMJRWDV25OWM4IZ/action/author_attestation","sign_citation":"https://pith.science/pith/BL7JRORQEQDAMJRWDV25OWM4IZ/action/citation_signature","submit_replication":"https://pith.science/pith/BL7JRORQEQDAMJRWDV25OWM4IZ/action/replication_record"}},"created_at":"2026-05-18T03:44:47.092748+00:00","updated_at":"2026-05-18T03:44:47.092748+00:00"}