{"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"}