{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:NELLYRI5DTTU7HIKG2GV763ZDI","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":"411dc184cf56ade4e2c4c9733f0a3539481d1e7cd0d3252651f588499088ad44","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-05-15T14:52:38Z","title_canon_sha256":"6b93e75d656eeb46af30d32c1a54ff966d6d1fead047bede8eb5fb39e9a3f77a"},"schema_version":"1.0","source":{"id":"1505.04080","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.04080","created_at":"2026-05-18T00:10:04Z"},{"alias_kind":"arxiv_version","alias_value":"1505.04080v1","created_at":"2026-05-18T00:10:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.04080","created_at":"2026-05-18T00:10:04Z"},{"alias_kind":"pith_short_12","alias_value":"NELLYRI5DTTU","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"NELLYRI5DTTU7HIK","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"NELLYRI5","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:169a481456ba910434f0f4beca0d72fc860f85724afcfd089b4c16d080021e40","target":"graph","created_at":"2026-05-18T00:10:04Z","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":"We present a manifestly gauge invariant linear response theory for ultra-cold Fermi gases undergoing BCS-Bose-Einstein Condensation (BEC) crossover with pair fluctuation effect included, especially in the superfluid phase, by introducing an effective external electromagnetic (EM) field. For pure BCS-type superfluids, the gauge invariance of the linear response theory can be maintained by constructing a full external EM vertex by including the fluctuation of the order parameters in the same way as the the self-energy effect is included in the quasi-particle, therefore the Ward identity (WI) is ","authors_text":"Hao Guo, Yan He","cross_cats":["cond-mat.supr-con"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-05-15T14:52:38Z","title":"Establishing the Gauge Invariant Linear Response of Fermionic Superfluids with Pair Fluctuations: A Diagrammatic approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.04080","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:b0944b02e04d9c650194c16547fac4e14f2b7e806050b69c9d3f3d040f0d696a","target":"record","created_at":"2026-05-18T00:10:04Z","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":"411dc184cf56ade4e2c4c9733f0a3539481d1e7cd0d3252651f588499088ad44","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-05-15T14:52:38Z","title_canon_sha256":"6b93e75d656eeb46af30d32c1a54ff966d6d1fead047bede8eb5fb39e9a3f77a"},"schema_version":"1.0","source":{"id":"1505.04080","kind":"arxiv","version":1}},"canonical_sha256":"6916bc451d1ce74f9d0a368d5ffb791a32ee79fe1172ab422f41f44de2f5acd6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6916bc451d1ce74f9d0a368d5ffb791a32ee79fe1172ab422f41f44de2f5acd6","first_computed_at":"2026-05-18T00:10:04.570039Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:04.570039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b4rYryDqEzzU+ktKqYNauJD7ALla+7BuzJjbpzFeHvrTnl/T5D2QT9WOy0g8omCVYRfr0Vsh+mjRHGWF+CR6Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:04.570748Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.04080","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0944b02e04d9c650194c16547fac4e14f2b7e806050b69c9d3f3d040f0d696a","sha256:169a481456ba910434f0f4beca0d72fc860f85724afcfd089b4c16d080021e40"],"state_sha256":"ebdc27c5a61ffc6e917d83f4345de9a745549347ff9c3367e7c7f7d3ccd8ae31"}