{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:XEYSQQZRUTAYMRIK7247MMPOOT","short_pith_number":"pith:XEYSQQZR","canonical_record":{"source":{"id":"1108.0042","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-07-30T06:30:54Z","cross_cats_sorted":["astro-ph.SR","cond-mat.supr-con","nucl-th"],"title_canon_sha256":"9c2d754aa855c9db18e1feee16c08ec8b94afea44b4555a51085bfc5e0cca599","abstract_canon_sha256":"b328cfba1da65565536e8478d85627228ee1ce4e0032f4bca42fc71bc8e22bae"},"schema_version":"1.0"},"canonical_sha256":"b931284331a4c186450afeb9f631ee74cc257ded59ec2b16874f7f9e23c65838","source":{"kind":"arxiv","id":"1108.0042","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.0042","created_at":"2026-05-18T04:05:14Z"},{"alias_kind":"arxiv_version","alias_value":"1108.0042v2","created_at":"2026-05-18T04:05:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.0042","created_at":"2026-05-18T04:05:14Z"},{"alias_kind":"pith_short_12","alias_value":"XEYSQQZRUTAY","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"XEYSQQZRUTAYMRIK","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"XEYSQQZR","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:XEYSQQZRUTAYMRIK7247MMPOOT","target":"record","payload":{"canonical_record":{"source":{"id":"1108.0042","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-07-30T06:30:54Z","cross_cats_sorted":["astro-ph.SR","cond-mat.supr-con","nucl-th"],"title_canon_sha256":"9c2d754aa855c9db18e1feee16c08ec8b94afea44b4555a51085bfc5e0cca599","abstract_canon_sha256":"b328cfba1da65565536e8478d85627228ee1ce4e0032f4bca42fc71bc8e22bae"},"schema_version":"1.0"},"canonical_sha256":"b931284331a4c186450afeb9f631ee74cc257ded59ec2b16874f7f9e23c65838","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:14.907341Z","signature_b64":"W4iavNvNXfPvxSkH5GaGhedjDogQ9vJWg6XN07WKGf1fzvvdE4FcAXlzicQIHxXyDT16tHQF/Yqi6cAlha+dAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b931284331a4c186450afeb9f631ee74cc257ded59ec2b16874f7f9e23c65838","last_reissued_at":"2026-05-18T04:05:14.906604Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:14.906604Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.0042","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":"2026-05-18T04:05:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xJ5Ad73MBejTtN4ZJqc/Rb+YRZzJxZrEQ79AvCCUaUnCqAjNT+zWe4SPa4+zm0eOdqjjhVlli99/yyv7XM/1Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T22:09:34.684526Z"},"content_sha256":"2bc79167ee7d4086cc34c0f2eb67d39084f47e5907061236cdc7b83decde4164","schema_version":"1.0","event_id":"sha256:2bc79167ee7d4086cc34c0f2eb67d39084f47e5907061236cdc7b83decde4164"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:XEYSQQZRUTAYMRIK7247MMPOOT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Swallowtail Band Structure of the Superfluid Fermi Gas in an Optical Lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.SR","cond-mat.supr-con","nucl-th"],"primary_cat":"cond-mat.quant-gas","authors_text":"Franco Dalfovo, Gentaro Watanabe, Sukjin Yoon","submitted_at":"2011-07-30T06:30:54Z","abstract_excerpt":"We investigate the energy band structure of the superfluid flow of ultracold dilute Fermi gases in a one-dimensional optical lattice along the BCS to BEC crossover within a mean-field approach. In each side of the crossover region, a loop structure (swallowtail) appears in the Bloch energy band of the superfluid above a critical value of the interaction strength. The width of the swallowtail is largest near unitarity. Across the critical value of the interaction strength, the profiles of density and pairing field change more drastically in the BCS side than in the BEC side. It is found that al"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.0042","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":"2026-05-18T04:05:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QyC4xWfrokCcYusoAFEnzECIOdO5uvxhClVDLkRPovG0Vmfa276rs8EJdxQOiZts+sH56U7lpufC0i73lDZhDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T22:09:34.684877Z"},"content_sha256":"c6e0e55d4f5c69cf88dac9db81408bcff0d388f5cc05717beb0adc0afc15b973","schema_version":"1.0","event_id":"sha256:c6e0e55d4f5c69cf88dac9db81408bcff0d388f5cc05717beb0adc0afc15b973"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XEYSQQZRUTAYMRIK7247MMPOOT/bundle.json","state_url":"https://pith.science/pith/XEYSQQZRUTAYMRIK7247MMPOOT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XEYSQQZRUTAYMRIK7247MMPOOT/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":"2026-06-08T22:09:34Z","links":{"resolver":"https://pith.science/pith/XEYSQQZRUTAYMRIK7247MMPOOT","bundle":"https://pith.science/pith/XEYSQQZRUTAYMRIK7247MMPOOT/bundle.json","state":"https://pith.science/pith/XEYSQQZRUTAYMRIK7247MMPOOT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XEYSQQZRUTAYMRIK7247MMPOOT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:XEYSQQZRUTAYMRIK7247MMPOOT","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":"b328cfba1da65565536e8478d85627228ee1ce4e0032f4bca42fc71bc8e22bae","cross_cats_sorted":["astro-ph.SR","cond-mat.supr-con","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-07-30T06:30:54Z","title_canon_sha256":"9c2d754aa855c9db18e1feee16c08ec8b94afea44b4555a51085bfc5e0cca599"},"schema_version":"1.0","source":{"id":"1108.0042","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.0042","created_at":"2026-05-18T04:05:14Z"},{"alias_kind":"arxiv_version","alias_value":"1108.0042v2","created_at":"2026-05-18T04:05:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.0042","created_at":"2026-05-18T04:05:14Z"},{"alias_kind":"pith_short_12","alias_value":"XEYSQQZRUTAY","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"XEYSQQZRUTAYMRIK","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"XEYSQQZR","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:c6e0e55d4f5c69cf88dac9db81408bcff0d388f5cc05717beb0adc0afc15b973","target":"graph","created_at":"2026-05-18T04:05:14Z","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 investigate the energy band structure of the superfluid flow of ultracold dilute Fermi gases in a one-dimensional optical lattice along the BCS to BEC crossover within a mean-field approach. In each side of the crossover region, a loop structure (swallowtail) appears in the Bloch energy band of the superfluid above a critical value of the interaction strength. The width of the swallowtail is largest near unitarity. Across the critical value of the interaction strength, the profiles of density and pairing field change more drastically in the BCS side than in the BEC side. It is found that al","authors_text":"Franco Dalfovo, Gentaro Watanabe, Sukjin Yoon","cross_cats":["astro-ph.SR","cond-mat.supr-con","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-07-30T06:30:54Z","title":"Swallowtail Band Structure of the Superfluid Fermi Gas in an Optical Lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.0042","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":"sha256:2bc79167ee7d4086cc34c0f2eb67d39084f47e5907061236cdc7b83decde4164","target":"record","created_at":"2026-05-18T04:05:14Z","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":"b328cfba1da65565536e8478d85627228ee1ce4e0032f4bca42fc71bc8e22bae","cross_cats_sorted":["astro-ph.SR","cond-mat.supr-con","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-07-30T06:30:54Z","title_canon_sha256":"9c2d754aa855c9db18e1feee16c08ec8b94afea44b4555a51085bfc5e0cca599"},"schema_version":"1.0","source":{"id":"1108.0042","kind":"arxiv","version":2}},"canonical_sha256":"b931284331a4c186450afeb9f631ee74cc257ded59ec2b16874f7f9e23c65838","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b931284331a4c186450afeb9f631ee74cc257ded59ec2b16874f7f9e23c65838","first_computed_at":"2026-05-18T04:05:14.906604Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:14.906604Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W4iavNvNXfPvxSkH5GaGhedjDogQ9vJWg6XN07WKGf1fzvvdE4FcAXlzicQIHxXyDT16tHQF/Yqi6cAlha+dAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:14.907341Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.0042","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2bc79167ee7d4086cc34c0f2eb67d39084f47e5907061236cdc7b83decde4164","sha256:c6e0e55d4f5c69cf88dac9db81408bcff0d388f5cc05717beb0adc0afc15b973"],"state_sha256":"30138488f88478a35709023d984cfde63a03691a66955ff43c9ac5896db305a7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pbDnvaqqOKFlO0mY/WTsg0+L/hOG6IpPma0En5RSZTI6z3XWHw1JwbmT4Bjyih44LiQGhKx2JywkTYxY2johAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T22:09:34.686743Z","bundle_sha256":"3478d0a4dd0fdc6cca6be3829808c67a8522d22e262df64382537fc341797214"}}