{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:GDZSTXDWSA3XQYIQNTPUOUNO33","short_pith_number":"pith:GDZSTXDW","schema_version":"1.0","canonical_sha256":"30f329dc7690377861106cdf4751aedecc2ff4ba53a53586c05aa71374cad498","source":{"kind":"arxiv","id":"1011.3691","version":1},"attestation_state":"computed","paper":{"title":"The Tamm-Dancoff Approximation as the boson limit of the Richardson-Gaudin equations for pairing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con","math-ph","math.MP"],"primary_cat":"nucl-th","authors_text":"Stijn De Baerdemacker","submitted_at":"2010-11-16T13:46:37Z","abstract_excerpt":"A connection is made between the exact eigen states of the BCS Hamiltonian and the predictions made by the Tamm-Dancoff Approximation. This connection is made by means of a parametrised algebra, which gives the exact quasi-spin algebra in one limit of the parameter and the Heisenberg-Weyl algebra in the other. Using this algebra to construct the Bethe Ansatz solution of the BCS Hamiltonian, we obtain parametrised Richardson-Gaudin equations, leading to the secular equation of the Tamm-Dancoff Approximation in the bosonic limit. An example is discussed in depth."},"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":"1011.3691","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2010-11-16T13:46:37Z","cross_cats_sorted":["cond-mat.supr-con","math-ph","math.MP"],"title_canon_sha256":"d95f5fcf29d965be2f1ae522400acdb154bb639b74fe9e229e09833f5d96ee40","abstract_canon_sha256":"4fa72a24b56c1699d2ed0b032de4ea26154d0c10999d80dabd78f670d19ba188"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:20:22.142670Z","signature_b64":"qsZvvCFdzX65Leuuntf/9fsYZJbu0eCEX4t/6L7mF2HjOqHm5yo4SEQOhBHLZj4iZQak21SRg9DagJGMUHcsAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"30f329dc7690377861106cdf4751aedecc2ff4ba53a53586c05aa71374cad498","last_reissued_at":"2026-05-18T04:20:22.142070Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:20:22.142070Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Tamm-Dancoff Approximation as the boson limit of the Richardson-Gaudin equations for pairing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con","math-ph","math.MP"],"primary_cat":"nucl-th","authors_text":"Stijn De Baerdemacker","submitted_at":"2010-11-16T13:46:37Z","abstract_excerpt":"A connection is made between the exact eigen states of the BCS Hamiltonian and the predictions made by the Tamm-Dancoff Approximation. This connection is made by means of a parametrised algebra, which gives the exact quasi-spin algebra in one limit of the parameter and the Heisenberg-Weyl algebra in the other. Using this algebra to construct the Bethe Ansatz solution of the BCS Hamiltonian, we obtain parametrised Richardson-Gaudin equations, leading to the secular equation of the Tamm-Dancoff Approximation in the bosonic limit. An example is discussed in depth."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3691","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":"1011.3691","created_at":"2026-05-18T04:20:22.142161+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.3691v1","created_at":"2026-05-18T04:20:22.142161+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.3691","created_at":"2026-05-18T04:20:22.142161+00:00"},{"alias_kind":"pith_short_12","alias_value":"GDZSTXDWSA3X","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_16","alias_value":"GDZSTXDWSA3XQYIQ","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_8","alias_value":"GDZSTXDW","created_at":"2026-05-18T12:26:07.630475+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/GDZSTXDWSA3XQYIQNTPUOUNO33","json":"https://pith.science/pith/GDZSTXDWSA3XQYIQNTPUOUNO33.json","graph_json":"https://pith.science/api/pith-number/GDZSTXDWSA3XQYIQNTPUOUNO33/graph.json","events_json":"https://pith.science/api/pith-number/GDZSTXDWSA3XQYIQNTPUOUNO33/events.json","paper":"https://pith.science/paper/GDZSTXDW"},"agent_actions":{"view_html":"https://pith.science/pith/GDZSTXDWSA3XQYIQNTPUOUNO33","download_json":"https://pith.science/pith/GDZSTXDWSA3XQYIQNTPUOUNO33.json","view_paper":"https://pith.science/paper/GDZSTXDW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.3691&json=true","fetch_graph":"https://pith.science/api/pith-number/GDZSTXDWSA3XQYIQNTPUOUNO33/graph.json","fetch_events":"https://pith.science/api/pith-number/GDZSTXDWSA3XQYIQNTPUOUNO33/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GDZSTXDWSA3XQYIQNTPUOUNO33/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GDZSTXDWSA3XQYIQNTPUOUNO33/action/storage_attestation","attest_author":"https://pith.science/pith/GDZSTXDWSA3XQYIQNTPUOUNO33/action/author_attestation","sign_citation":"https://pith.science/pith/GDZSTXDWSA3XQYIQNTPUOUNO33/action/citation_signature","submit_replication":"https://pith.science/pith/GDZSTXDWSA3XQYIQNTPUOUNO33/action/replication_record"}},"created_at":"2026-05-18T04:20:22.142161+00:00","updated_at":"2026-05-18T04:20:22.142161+00:00"}