{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:2S6EGWDQ3EYHTJZZEXE5XEHOZ3","short_pith_number":"pith:2S6EGWDQ","schema_version":"1.0","canonical_sha256":"d4bc435870d93079a73925c9db90eecedc84da154ae94ae528ff6701c92e1111","source":{"kind":"arxiv","id":"1304.0849","version":1},"attestation_state":"computed","paper":{"title":"Electron-hole symmetry and solutions of Richardson pairing model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","math-ph","math.MP","nlin.SI"],"primary_cat":"cond-mat.supr-con","authors_text":"N. S. Lin, V. R. Misko, W. V. Pogosov","submitted_at":"2013-04-03T06:14:42Z","abstract_excerpt":"Richardson approach provides an exact solution of the pairing Hamiltonian. This Hamiltonian is characterized by the electron-hole pairing symmetry, which is however hidden in Richardson equations. By analyzing this symmetry and using an additional conjecture, fulfilled in solvable limits, we suggest a simple expression of the ground state energy for an equally-spaced energy-level model, which is applicable along the whole crossover from the superconducting state to the pairing fluctuation regime. Solving Richardson equations numerically, we demonstrate a good accuracy of our expression."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1304.0849","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2013-04-03T06:14:42Z","cross_cats_sorted":["cond-mat.mes-hall","math-ph","math.MP","nlin.SI"],"title_canon_sha256":"1d932dc91aecf47328cc530bc115b3ac04b2cf1c290997018962e025a86cd06d","abstract_canon_sha256":"614cadd00edec9e3e55bbc25bad79f8ee5b17e908553cf93e4ba61f6774a6f39"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:05.244935Z","signature_b64":"6Zxn4pauer1O/P5+aPtaLvVEP52ScEDI7yICN4+3Y5t6z6u59TLJNJHd2HsUka+RfCRji168LvnXC/6Y8qT+BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4bc435870d93079a73925c9db90eecedc84da154ae94ae528ff6701c92e1111","last_reissued_at":"2026-05-18T03:22:05.244232Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:05.244232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Electron-hole symmetry and solutions of Richardson pairing model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","math-ph","math.MP","nlin.SI"],"primary_cat":"cond-mat.supr-con","authors_text":"N. S. Lin, V. R. Misko, W. V. Pogosov","submitted_at":"2013-04-03T06:14:42Z","abstract_excerpt":"Richardson approach provides an exact solution of the pairing Hamiltonian. This Hamiltonian is characterized by the electron-hole pairing symmetry, which is however hidden in Richardson equations. By analyzing this symmetry and using an additional conjecture, fulfilled in solvable limits, we suggest a simple expression of the ground state energy for an equally-spaced energy-level model, which is applicable along the whole crossover from the superconducting state to the pairing fluctuation regime. Solving Richardson equations numerically, we demonstrate a good accuracy of our expression."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.0849","kind":"arxiv","version":1},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1304.0849","created_at":"2026-05-18T03:22:05.244359+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.0849v1","created_at":"2026-05-18T03:22:05.244359+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.0849","created_at":"2026-05-18T03:22:05.244359+00:00"},{"alias_kind":"pith_short_12","alias_value":"2S6EGWDQ3EYH","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_16","alias_value":"2S6EGWDQ3EYHTJZZ","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_8","alias_value":"2S6EGWDQ","created_at":"2026-05-18T12:27:32.513160+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2S6EGWDQ3EYHTJZZEXE5XEHOZ3","json":"https://pith.science/pith/2S6EGWDQ3EYHTJZZEXE5XEHOZ3.json","graph_json":"https://pith.science/api/pith-number/2S6EGWDQ3EYHTJZZEXE5XEHOZ3/graph.json","events_json":"https://pith.science/api/pith-number/2S6EGWDQ3EYHTJZZEXE5XEHOZ3/events.json","paper":"https://pith.science/paper/2S6EGWDQ"},"agent_actions":{"view_html":"https://pith.science/pith/2S6EGWDQ3EYHTJZZEXE5XEHOZ3","download_json":"https://pith.science/pith/2S6EGWDQ3EYHTJZZEXE5XEHOZ3.json","view_paper":"https://pith.science/paper/2S6EGWDQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.0849&json=true","fetch_graph":"https://pith.science/api/pith-number/2S6EGWDQ3EYHTJZZEXE5XEHOZ3/graph.json","fetch_events":"https://pith.science/api/pith-number/2S6EGWDQ3EYHTJZZEXE5XEHOZ3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2S6EGWDQ3EYHTJZZEXE5XEHOZ3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2S6EGWDQ3EYHTJZZEXE5XEHOZ3/action/storage_attestation","attest_author":"https://pith.science/pith/2S6EGWDQ3EYHTJZZEXE5XEHOZ3/action/author_attestation","sign_citation":"https://pith.science/pith/2S6EGWDQ3EYHTJZZEXE5XEHOZ3/action/citation_signature","submit_replication":"https://pith.science/pith/2S6EGWDQ3EYHTJZZEXE5XEHOZ3/action/replication_record"}},"created_at":"2026-05-18T03:22:05.244359+00:00","updated_at":"2026-05-18T03:22:05.244359+00:00"}