{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:7O534L3QRVOQIXAWQRPQTKTBEI","short_pith_number":"pith:7O534L3Q","canonical_record":{"source":{"id":"1310.4665","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-10-17T11:57:10Z","cross_cats_sorted":["cond-mat.str-el","cond-mat.supr-con","nucl-th"],"title_canon_sha256":"20e5f4a855de23c4c8f3980a92c9b0bde2a4a45060351855ac32e79856bdbe02","abstract_canon_sha256":"95037f1cd2bcd794f39294cf6860abd4c8ce9dd7fdf7ede2c655a0e844fdda59"},"schema_version":"1.0"},"canonical_sha256":"fbbbbe2f708d5d045c16845f09aa612213664df5977dc830c123b9117500ee32","source":{"kind":"arxiv","id":"1310.4665","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4665","created_at":"2026-05-18T02:56:11Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4665v2","created_at":"2026-05-18T02:56:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4665","created_at":"2026-05-18T02:56:11Z"},{"alias_kind":"pith_short_12","alias_value":"7O534L3QRVOQ","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7O534L3QRVOQIXAW","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7O534L3Q","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:7O534L3QRVOQIXAWQRPQTKTBEI","target":"record","payload":{"canonical_record":{"source":{"id":"1310.4665","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-10-17T11:57:10Z","cross_cats_sorted":["cond-mat.str-el","cond-mat.supr-con","nucl-th"],"title_canon_sha256":"20e5f4a855de23c4c8f3980a92c9b0bde2a4a45060351855ac32e79856bdbe02","abstract_canon_sha256":"95037f1cd2bcd794f39294cf6860abd4c8ce9dd7fdf7ede2c655a0e844fdda59"},"schema_version":"1.0"},"canonical_sha256":"fbbbbe2f708d5d045c16845f09aa612213664df5977dc830c123b9117500ee32","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:11.388685Z","signature_b64":"qpQf3p+THVm0G5GamWkDKYZOgykpVE3X8Cl6SDUy8WTj/M5NIvMNlRpi5rlecIFE7OIGLZs1rXjzeay0WG3eAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fbbbbe2f708d5d045c16845f09aa612213664df5977dc830c123b9117500ee32","last_reissued_at":"2026-05-18T02:56:11.388292Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:11.388292Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.4665","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":"2026-05-18T02:56:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WQDkCo9b/8+yy1QCPpcXBFXmSBvvGf4UzgVwX1Wt0UdmZz6BbNjpN9Dx4I3HZb5s0sxuxquttvJQ7y5qf++sDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:37:45.948830Z"},"content_sha256":"aa32a79c1519bc764c265fd760ddbace7fd0ccc4e22e1847da24a8811138caf8","schema_version":"1.0","event_id":"sha256:aa32a79c1519bc764c265fd760ddbace7fd0ccc4e22e1847da24a8811138caf8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:7O534L3QRVOQIXAWQRPQTKTBEI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lee-Yang cluster expansion approach to the BCS-BEC crossover: BCS and BEC limits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","cond-mat.supr-con","nucl-th"],"primary_cat":"cond-mat.quant-gas","authors_text":"Masahito Ueda, Naoyuki Sakumichi, Yusuke Nishida","submitted_at":"2013-10-17T11:57:10Z","abstract_excerpt":"It is shown that a cluster expansion technique, which is usually applied in the high-temperature regime to calcutate virial coefficients, can be applied to evaluate the superfluid transition temperature of the BCS-BEC crossover \\`a la Lee and Yang. The transition temperature is identified with the emergence of the singularity in the sum of a certain infinite series of cluster functions. In the weak-coupling limit, we reproduce the Thouless criterion and the number equation of Nozi\\`eres and Schmitt-Rink, and hence the transition temperature of the BCS theory. In the strong-coupling limit, we r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4665","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":"2026-05-18T02:56:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xwzmgKgcRonQJzJGoBYZXYE3h9cinauG4J2lE259f4TJo0J9I7T0yN2hwTw8XuQzDJ+nYE8LKyI+8zIiiqslAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:37:45.949499Z"},"content_sha256":"4cecce57b4fbce5d93788fe41bd180ab0d4036ca9a1a633660a6e1abcc176f5f","schema_version":"1.0","event_id":"sha256:4cecce57b4fbce5d93788fe41bd180ab0d4036ca9a1a633660a6e1abcc176f5f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7O534L3QRVOQIXAWQRPQTKTBEI/bundle.json","state_url":"https://pith.science/pith/7O534L3QRVOQIXAWQRPQTKTBEI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7O534L3QRVOQIXAWQRPQTKTBEI/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":"2026-05-25T19:37:45Z","links":{"resolver":"https://pith.science/pith/7O534L3QRVOQIXAWQRPQTKTBEI","bundle":"https://pith.science/pith/7O534L3QRVOQIXAWQRPQTKTBEI/bundle.json","state":"https://pith.science/pith/7O534L3QRVOQIXAWQRPQTKTBEI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7O534L3QRVOQIXAWQRPQTKTBEI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7O534L3QRVOQIXAWQRPQTKTBEI","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":"95037f1cd2bcd794f39294cf6860abd4c8ce9dd7fdf7ede2c655a0e844fdda59","cross_cats_sorted":["cond-mat.str-el","cond-mat.supr-con","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-10-17T11:57:10Z","title_canon_sha256":"20e5f4a855de23c4c8f3980a92c9b0bde2a4a45060351855ac32e79856bdbe02"},"schema_version":"1.0","source":{"id":"1310.4665","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4665","created_at":"2026-05-18T02:56:11Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4665v2","created_at":"2026-05-18T02:56:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4665","created_at":"2026-05-18T02:56:11Z"},{"alias_kind":"pith_short_12","alias_value":"7O534L3QRVOQ","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7O534L3QRVOQIXAW","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7O534L3Q","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:4cecce57b4fbce5d93788fe41bd180ab0d4036ca9a1a633660a6e1abcc176f5f","target":"graph","created_at":"2026-05-18T02:56:11Z","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":"It is shown that a cluster expansion technique, which is usually applied in the high-temperature regime to calcutate virial coefficients, can be applied to evaluate the superfluid transition temperature of the BCS-BEC crossover \\`a la Lee and Yang. The transition temperature is identified with the emergence of the singularity in the sum of a certain infinite series of cluster functions. In the weak-coupling limit, we reproduce the Thouless criterion and the number equation of Nozi\\`eres and Schmitt-Rink, and hence the transition temperature of the BCS theory. In the strong-coupling limit, we r","authors_text":"Masahito Ueda, Naoyuki Sakumichi, Yusuke Nishida","cross_cats":["cond-mat.str-el","cond-mat.supr-con","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-10-17T11:57:10Z","title":"Lee-Yang cluster expansion approach to the BCS-BEC crossover: BCS and BEC limits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4665","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:aa32a79c1519bc764c265fd760ddbace7fd0ccc4e22e1847da24a8811138caf8","target":"record","created_at":"2026-05-18T02:56:11Z","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":"95037f1cd2bcd794f39294cf6860abd4c8ce9dd7fdf7ede2c655a0e844fdda59","cross_cats_sorted":["cond-mat.str-el","cond-mat.supr-con","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-10-17T11:57:10Z","title_canon_sha256":"20e5f4a855de23c4c8f3980a92c9b0bde2a4a45060351855ac32e79856bdbe02"},"schema_version":"1.0","source":{"id":"1310.4665","kind":"arxiv","version":2}},"canonical_sha256":"fbbbbe2f708d5d045c16845f09aa612213664df5977dc830c123b9117500ee32","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fbbbbe2f708d5d045c16845f09aa612213664df5977dc830c123b9117500ee32","first_computed_at":"2026-05-18T02:56:11.388292Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:11.388292Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qpQf3p+THVm0G5GamWkDKYZOgykpVE3X8Cl6SDUy8WTj/M5NIvMNlRpi5rlecIFE7OIGLZs1rXjzeay0WG3eAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:11.388685Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.4665","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa32a79c1519bc764c265fd760ddbace7fd0ccc4e22e1847da24a8811138caf8","sha256:4cecce57b4fbce5d93788fe41bd180ab0d4036ca9a1a633660a6e1abcc176f5f"],"state_sha256":"0c032578ee418849212e6b4dce7f6a54258c5aa2dcdd6d51d40401aa61503ad3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B0qH1ryV14RAzmoz+FIKCgPbaD4ecXbb/wf5FpD38cJYRGHoRE/h5WIcCn5XOx4uEQlTLltt/lY80ODuU6JRBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T19:37:45.953421Z","bundle_sha256":"81a53c1f4526cb5cfc455327f39e4730194fae1be927f351e122bb828cbc4f3c"}}