{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:UGUOFZJ2RBWIOS5LOTPZJGXKJZ","short_pith_number":"pith:UGUOFZJ2","canonical_record":{"source":{"id":"cond-mat/0503664","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2005-03-29T08:10:51Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"fdaf316d932406f35a93b8b9836cae0c5e7402adf3e7cbd0f0d300bb9a22fc03","abstract_canon_sha256":"dad7c21e3a14f0865ffeb8f0a9135e5e682365352df139b973bbed1f46938b03"},"schema_version":"1.0"},"canonical_sha256":"a1a8e2e53a886c874bab74df949aea4e5050ed82db8d18703053c866b6c023ed","source":{"kind":"arxiv","id":"cond-mat/0503664","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0503664","created_at":"2026-07-04T16:53:40Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0503664v2","created_at":"2026-07-04T16:53:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0503664","created_at":"2026-07-04T16:53:40Z"},{"alias_kind":"pith_short_12","alias_value":"UGUOFZJ2RBWI","created_at":"2026-07-04T16:53:40Z"},{"alias_kind":"pith_short_16","alias_value":"UGUOFZJ2RBWIOS5L","created_at":"2026-07-04T16:53:40Z"},{"alias_kind":"pith_short_8","alias_value":"UGUOFZJ2","created_at":"2026-07-04T16:53:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:UGUOFZJ2RBWIOS5LOTPZJGXKJZ","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0503664","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2005-03-29T08:10:51Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"fdaf316d932406f35a93b8b9836cae0c5e7402adf3e7cbd0f0d300bb9a22fc03","abstract_canon_sha256":"dad7c21e3a14f0865ffeb8f0a9135e5e682365352df139b973bbed1f46938b03"},"schema_version":"1.0"},"canonical_sha256":"a1a8e2e53a886c874bab74df949aea4e5050ed82db8d18703053c866b6c023ed","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:53:40.994830Z","signature_b64":"k8tj+ynfGtA3AkpKn8h59Ttm7C8G2emI0gL9wlZ7u9jjpZr49JhNMg34dcZzS7vMU9iE+9biJUtD5gjlwcWMBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a1a8e2e53a886c874bab74df949aea4e5050ed82db8d18703053c866b6c023ed","last_reissued_at":"2026-07-04T16:53:40.994382Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:53:40.994382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0503664","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":"2026-07-04T16:53:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3D9LC8bPI7kk0HJfC4Hs8bmT+l9ywPlphyD1DQbigB4b07LqF7fTuuyravwzfHgBRtSSzEBwrJV11rzBfVU+BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T08:47:13.814297Z"},"content_sha256":"2d203e73cd8b450fa748ab5b9385e129ea057696477fe39e0ff824f2c1177019","schema_version":"1.0","event_id":"sha256:2d203e73cd8b450fa748ab5b9385e129ea057696477fe39e0ff824f2c1177019"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:UGUOFZJ2RBWIOS5LOTPZJGXKJZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"BCS-to-BEC crossover from the exact BCS solution","license":"","headline":"","cross_cats":["nucl-th"],"primary_cat":"cond-mat.supr-con","authors_text":"Gerardo Ortiz, Jorge Dukelsky","submitted_at":"2005-03-29T08:10:51Z","abstract_excerpt":"The BCS-to-BEC crossover, as well as the nature of Cooper pairs, in a superconducting and Fermi superfluid medium is studied from the exact ground state wavefunction of the reduced BCS Hamiltonian. As the strength of the interaction increases, the ground state continuously evolves from a mixed-system of quasifree fermions and pair resonances (BCS), to pair resonances and quasibound molecules (pseudogap), and finally to a system of quasibound molecules (BEC). A single unified scenario arises where the Cooper-pair wavefunction has a unique functional form. Several exact analytic expressions, suc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0503664","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/cond-mat/0503664/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":"2026-07-04T16:53:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hXjlJPBqkNnlAuVZ6L2HqpQiFP6qJf8MhjSrBzCUQWr9j7RUtmfA9RiPFPTAyMpTfrjxPJYfWpbWcIw+tg/RBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T08:47:13.814794Z"},"content_sha256":"ff8a1168b379d54585b333c924819c624dc852b3cc9b2dbdced3afd7b2fde06f","schema_version":"1.0","event_id":"sha256:ff8a1168b379d54585b333c924819c624dc852b3cc9b2dbdced3afd7b2fde06f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UGUOFZJ2RBWIOS5LOTPZJGXKJZ/bundle.json","state_url":"https://pith.science/pith/UGUOFZJ2RBWIOS5LOTPZJGXKJZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UGUOFZJ2RBWIOS5LOTPZJGXKJZ/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":"2026-08-08T08:47:13Z","links":{"resolver":"https://pith.science/pith/UGUOFZJ2RBWIOS5LOTPZJGXKJZ","bundle":"https://pith.science/pith/UGUOFZJ2RBWIOS5LOTPZJGXKJZ/bundle.json","state":"https://pith.science/pith/UGUOFZJ2RBWIOS5LOTPZJGXKJZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UGUOFZJ2RBWIOS5LOTPZJGXKJZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:UGUOFZJ2RBWIOS5LOTPZJGXKJZ","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":"dad7c21e3a14f0865ffeb8f0a9135e5e682365352df139b973bbed1f46938b03","cross_cats_sorted":["nucl-th"],"license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2005-03-29T08:10:51Z","title_canon_sha256":"fdaf316d932406f35a93b8b9836cae0c5e7402adf3e7cbd0f0d300bb9a22fc03"},"schema_version":"1.0","source":{"id":"cond-mat/0503664","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0503664","created_at":"2026-07-04T16:53:40Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0503664v2","created_at":"2026-07-04T16:53:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0503664","created_at":"2026-07-04T16:53:40Z"},{"alias_kind":"pith_short_12","alias_value":"UGUOFZJ2RBWI","created_at":"2026-07-04T16:53:40Z"},{"alias_kind":"pith_short_16","alias_value":"UGUOFZJ2RBWIOS5L","created_at":"2026-07-04T16:53:40Z"},{"alias_kind":"pith_short_8","alias_value":"UGUOFZJ2","created_at":"2026-07-04T16:53:40Z"}],"graph_snapshots":[{"event_id":"sha256:ff8a1168b379d54585b333c924819c624dc852b3cc9b2dbdced3afd7b2fde06f","target":"graph","created_at":"2026-07-04T16:53:40Z","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/cond-mat/0503664/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The BCS-to-BEC crossover, as well as the nature of Cooper pairs, in a superconducting and Fermi superfluid medium is studied from the exact ground state wavefunction of the reduced BCS Hamiltonian. As the strength of the interaction increases, the ground state continuously evolves from a mixed-system of quasifree fermions and pair resonances (BCS), to pair resonances and quasibound molecules (pseudogap), and finally to a system of quasibound molecules (BEC). A single unified scenario arises where the Cooper-pair wavefunction has a unique functional form. Several exact analytic expressions, suc","authors_text":"Gerardo Ortiz, Jorge Dukelsky","cross_cats":["nucl-th"],"headline":"","license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2005-03-29T08:10:51Z","title":"BCS-to-BEC crossover from the exact BCS solution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0503664","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":"sha256:2d203e73cd8b450fa748ab5b9385e129ea057696477fe39e0ff824f2c1177019","target":"record","created_at":"2026-07-04T16:53:40Z","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":"dad7c21e3a14f0865ffeb8f0a9135e5e682365352df139b973bbed1f46938b03","cross_cats_sorted":["nucl-th"],"license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2005-03-29T08:10:51Z","title_canon_sha256":"fdaf316d932406f35a93b8b9836cae0c5e7402adf3e7cbd0f0d300bb9a22fc03"},"schema_version":"1.0","source":{"id":"cond-mat/0503664","kind":"arxiv","version":2}},"canonical_sha256":"a1a8e2e53a886c874bab74df949aea4e5050ed82db8d18703053c866b6c023ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a1a8e2e53a886c874bab74df949aea4e5050ed82db8d18703053c866b6c023ed","first_computed_at":"2026-07-04T16:53:40.994382Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:53:40.994382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k8tj+ynfGtA3AkpKn8h59Ttm7C8G2emI0gL9wlZ7u9jjpZr49JhNMg34dcZzS7vMU9iE+9biJUtD5gjlwcWMBw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:53:40.994830Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0503664","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d203e73cd8b450fa748ab5b9385e129ea057696477fe39e0ff824f2c1177019","sha256:ff8a1168b379d54585b333c924819c624dc852b3cc9b2dbdced3afd7b2fde06f"],"state_sha256":"6bb42c8770d8fe71ac071b2f8ba95634762ce43259a014bf3bf9426438bcf2f1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BPO1tLXaO/62+1TkZCzAqfAWxs9G3nnJlXigI621i6HZhm8WGr5plN23J07LJqcnZOV05wOeZHu9cghW9RizDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T08:47:13.819744Z","bundle_sha256":"6444ed5d251f600350c71adcd3a535465143423d5a3e4c8b1a3e796a2b4749ae"}}