{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:UPQLRRFSHZPK2LB37ZWBKBJLKV","short_pith_number":"pith:UPQLRRFS","canonical_record":{"source":{"id":"0709.2653","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.other","submitted_at":"2007-09-17T14:39:45Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"b3cdb2c28881d79fc7784b0b92aa82099521599e4d729167476e5fc3f49c1c08","abstract_canon_sha256":"d4d839445e1ee9310aba66a62e14bb775ab5f9b222949105fde4efd24bbbd59e"},"schema_version":"1.0"},"canonical_sha256":"a3e0b8c4b23e5ead2c3bfe6c15052b5572293d26d88a6cec48be80502615aa9e","source":{"kind":"arxiv","id":"0709.2653","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0709.2653","created_at":"2026-07-04T15:10:18Z"},{"alias_kind":"arxiv_version","alias_value":"0709.2653v2","created_at":"2026-07-04T15:10:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0709.2653","created_at":"2026-07-04T15:10:18Z"},{"alias_kind":"pith_short_12","alias_value":"UPQLRRFSHZPK","created_at":"2026-07-04T15:10:18Z"},{"alias_kind":"pith_short_16","alias_value":"UPQLRRFSHZPK2LB3","created_at":"2026-07-04T15:10:18Z"},{"alias_kind":"pith_short_8","alias_value":"UPQLRRFS","created_at":"2026-07-04T15:10:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:UPQLRRFSHZPK2LB37ZWBKBJLKV","target":"record","payload":{"canonical_record":{"source":{"id":"0709.2653","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.other","submitted_at":"2007-09-17T14:39:45Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"b3cdb2c28881d79fc7784b0b92aa82099521599e4d729167476e5fc3f49c1c08","abstract_canon_sha256":"d4d839445e1ee9310aba66a62e14bb775ab5f9b222949105fde4efd24bbbd59e"},"schema_version":"1.0"},"canonical_sha256":"a3e0b8c4b23e5ead2c3bfe6c15052b5572293d26d88a6cec48be80502615aa9e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:10:18.765288Z","signature_b64":"TLbKp8QxWx7qbLQtH3OKQjeFjWRF0NzfHcnnunqZlYEl4zBdaYgzZKHSA/lkyli6/a1hSinfN0OR9Cy0wFEpBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3e0b8c4b23e5ead2c3bfe6c15052b5572293d26d88a6cec48be80502615aa9e","last_reissued_at":"2026-07-04T15:10:18.764907Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:10:18.764907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0709.2653","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":"2026-07-04T15:10:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"02uzFr3UBSh4OvTCAI6F8FDGXqaQcMCBbxkv1iqcoidchm5dukl+KAeV1Nh+zBJeH0lJLoOmDoX/oAHILVLyBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T10:04:17.206894Z"},"content_sha256":"c4f10ab25ef559c394a3946dd453d8b8c701f9fa9882713fb2dea5a25467cad3","schema_version":"1.0","event_id":"sha256:c4f10ab25ef559c394a3946dd453d8b8c701f9fa9882713fb2dea5a25467cad3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:UPQLRRFSHZPK2LB37ZWBKBJLKV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Fluctuations in the Superfluid State of the BCS-BEC Crossover","license":"","headline":"","cross_cats":["cond-mat.supr-con"],"primary_cat":"cond-mat.other","authors_text":"Mohit Randeria, Rajdeep Sensarma, Roberto B. Diener","submitted_at":"2007-09-17T14:39:45Z","abstract_excerpt":"We determine the effects of quantum fluctuations about the T=0 mean field solution of the BCS-BEC crossover in a dilute Fermi gas using the functional integral method. These fluctuations are described in terms of the zero point motion of collective modes and the virtual scattering of gapped quasiparticles. We calculate their effects on various measurable properties, including chemical potential, ground state energy, the gap, the speed of sound and the Landau critical velocity. At unitarity, we find excellent agreement with quantum Monte Carlo and experimental results. In the BCS limit, we show"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0709.2653","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0709.2653/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:10:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1CEE7CzjT8zECj082DcponUOSpEOHnqdgddYjQ0YNG/2zxa5lqz3+A0KqnK2pyHMFRbaW2VlgkXF6f4sCzRCCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T10:04:17.207736Z"},"content_sha256":"a61e02f1a6cc1fad10fba1448739df683c4dd548075bb784146ebf53eb79ae91","schema_version":"1.0","event_id":"sha256:a61e02f1a6cc1fad10fba1448739df683c4dd548075bb784146ebf53eb79ae91"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UPQLRRFSHZPK2LB37ZWBKBJLKV/bundle.json","state_url":"https://pith.science/pith/UPQLRRFSHZPK2LB37ZWBKBJLKV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UPQLRRFSHZPK2LB37ZWBKBJLKV/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":"2026-08-11T10:04:17Z","links":{"resolver":"https://pith.science/pith/UPQLRRFSHZPK2LB37ZWBKBJLKV","bundle":"https://pith.science/pith/UPQLRRFSHZPK2LB37ZWBKBJLKV/bundle.json","state":"https://pith.science/pith/UPQLRRFSHZPK2LB37ZWBKBJLKV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UPQLRRFSHZPK2LB37ZWBKBJLKV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:UPQLRRFSHZPK2LB37ZWBKBJLKV","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":"d4d839445e1ee9310aba66a62e14bb775ab5f9b222949105fde4efd24bbbd59e","cross_cats_sorted":["cond-mat.supr-con"],"license":"","primary_cat":"cond-mat.other","submitted_at":"2007-09-17T14:39:45Z","title_canon_sha256":"b3cdb2c28881d79fc7784b0b92aa82099521599e4d729167476e5fc3f49c1c08"},"schema_version":"1.0","source":{"id":"0709.2653","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0709.2653","created_at":"2026-07-04T15:10:18Z"},{"alias_kind":"arxiv_version","alias_value":"0709.2653v2","created_at":"2026-07-04T15:10:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0709.2653","created_at":"2026-07-04T15:10:18Z"},{"alias_kind":"pith_short_12","alias_value":"UPQLRRFSHZPK","created_at":"2026-07-04T15:10:18Z"},{"alias_kind":"pith_short_16","alias_value":"UPQLRRFSHZPK2LB3","created_at":"2026-07-04T15:10:18Z"},{"alias_kind":"pith_short_8","alias_value":"UPQLRRFS","created_at":"2026-07-04T15:10:18Z"}],"graph_snapshots":[{"event_id":"sha256:a61e02f1a6cc1fad10fba1448739df683c4dd548075bb784146ebf53eb79ae91","target":"graph","created_at":"2026-07-04T15:10:18Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0709.2653/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We determine the effects of quantum fluctuations about the T=0 mean field solution of the BCS-BEC crossover in a dilute Fermi gas using the functional integral method. These fluctuations are described in terms of the zero point motion of collective modes and the virtual scattering of gapped quasiparticles. We calculate their effects on various measurable properties, including chemical potential, ground state energy, the gap, the speed of sound and the Landau critical velocity. At unitarity, we find excellent agreement with quantum Monte Carlo and experimental results. In the BCS limit, we show","authors_text":"Mohit Randeria, Rajdeep Sensarma, Roberto B. Diener","cross_cats":["cond-mat.supr-con"],"headline":"","license":"","primary_cat":"cond-mat.other","submitted_at":"2007-09-17T14:39:45Z","title":"Quantum Fluctuations in the Superfluid State of the BCS-BEC Crossover"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0709.2653","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:c4f10ab25ef559c394a3946dd453d8b8c701f9fa9882713fb2dea5a25467cad3","target":"record","created_at":"2026-07-04T15:10:18Z","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":"d4d839445e1ee9310aba66a62e14bb775ab5f9b222949105fde4efd24bbbd59e","cross_cats_sorted":["cond-mat.supr-con"],"license":"","primary_cat":"cond-mat.other","submitted_at":"2007-09-17T14:39:45Z","title_canon_sha256":"b3cdb2c28881d79fc7784b0b92aa82099521599e4d729167476e5fc3f49c1c08"},"schema_version":"1.0","source":{"id":"0709.2653","kind":"arxiv","version":2}},"canonical_sha256":"a3e0b8c4b23e5ead2c3bfe6c15052b5572293d26d88a6cec48be80502615aa9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3e0b8c4b23e5ead2c3bfe6c15052b5572293d26d88a6cec48be80502615aa9e","first_computed_at":"2026-07-04T15:10:18.764907Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:10:18.764907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TLbKp8QxWx7qbLQtH3OKQjeFjWRF0NzfHcnnunqZlYEl4zBdaYgzZKHSA/lkyli6/a1hSinfN0OR9Cy0wFEpBw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:10:18.765288Z","signed_message":"canonical_sha256_bytes"},"source_id":"0709.2653","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4f10ab25ef559c394a3946dd453d8b8c701f9fa9882713fb2dea5a25467cad3","sha256:a61e02f1a6cc1fad10fba1448739df683c4dd548075bb784146ebf53eb79ae91"],"state_sha256":"8ff0d0b5d345c4c2fb647fef2e467fa05de76df9123ac1807ea4bcf8d8bb560c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vXilYWfPb3bIPNibA82BrVSCPEPxcQELeNd2IviEiwrm5Se6vjLOKhawdQ5C1JtSiEcM1pAO+DK2IDI7F38oCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T10:04:17.216289Z","bundle_sha256":"8d2475182e94dfcc340767b2b58d7e967c6ba3d0bf4a49df95d2149457244cbc"}}