{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:BCXNAJ7F3F2QQRX3GZJZHD2SPV","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":"d5e8f83577421722fc67152dde60fbc5259f8d7b4edefb726f42867ad3c7922e","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.supr-con","math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-02-19T16:52:10Z","title_canon_sha256":"b9e09520f8f7c71dad32c5cb1e81bb76e6171396ea26ac926f91f30eed740999"},"schema_version":"1.0","source":{"id":"1102.4001","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.4001","created_at":"2026-05-18T03:55:00Z"},{"alias_kind":"arxiv_version","alias_value":"1102.4001v1","created_at":"2026-05-18T03:55:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.4001","created_at":"2026-05-18T03:55:00Z"},{"alias_kind":"pith_short_12","alias_value":"BCXNAJ7F3F2Q","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BCXNAJ7F3F2QQRX3","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BCXNAJ7F","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:b23ae809b6964e1e6e227c0584840861d75da65f1a462266fd400cfa7d2d6068","target":"graph","created_at":"2026-05-18T03:55:00Z","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 give the first rigorous derivation of the celebrated Ginzburg-Landau (GL) theory, starting from the microscopic Bardeen-Cooper-Schrieffer (BCS) model. Close to the critical temperature, GL arises as an effective theory on the macroscopic scale. The relevant scaling limit is semiclassical in nature, and semiclassical analysis, with minimal regularity assumptions, plays an important part in our proof.","authors_text":"Christian Hainzl, Jan Philip Solovej, Robert Seiringer, Rupert L. Frank","cross_cats":["cond-mat.quant-gas","cond-mat.supr-con","math.MP","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-02-19T16:52:10Z","title":"Microscopic Derivation of Ginzburg-Landau Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.4001","kind":"arxiv","version":1},"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":"sha256:6e7aea1d295dd8be0cb88bcb3eecce5dcc1349715de6c84d8247c5066baa70c4","target":"record","created_at":"2026-05-18T03:55:00Z","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":"d5e8f83577421722fc67152dde60fbc5259f8d7b4edefb726f42867ad3c7922e","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.supr-con","math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-02-19T16:52:10Z","title_canon_sha256":"b9e09520f8f7c71dad32c5cb1e81bb76e6171396ea26ac926f91f30eed740999"},"schema_version":"1.0","source":{"id":"1102.4001","kind":"arxiv","version":1}},"canonical_sha256":"08aed027e5d9750846fb3653938f527d6176563eeadfa7bc933b8c1e4d416ff1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"08aed027e5d9750846fb3653938f527d6176563eeadfa7bc933b8c1e4d416ff1","first_computed_at":"2026-05-18T03:55:00.519225Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:00.519225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5pGkt5OYzKWXOzw/m1Ye5dXcmsE7b/LodqagroDAGpKHdfDh+HKgaxBxLOSk+qovTyJ1qWpocEPtOuFzAgdoAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:00.519752Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.4001","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e7aea1d295dd8be0cb88bcb3eecce5dcc1349715de6c84d8247c5066baa70c4","sha256:b23ae809b6964e1e6e227c0584840861d75da65f1a462266fd400cfa7d2d6068"],"state_sha256":"dcf35097b4068185cd587d1dbe37fdf5730b9a002a53caa7f72d9c9a00102d04"}