{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:44SOZXBLJXZY4ZIHO2R3FI4G5T","short_pith_number":"pith:44SOZXBL","schema_version":"1.0","canonical_sha256":"e724ecdc2b4df38e650776a3b2a386ecf84be793db39b01e2a2b2b4f32d37e8f","source":{"kind":"arxiv","id":"2009.11199","version":3},"attestation_state":"computed","paper":{"title":"Quantum Spin Systems and Supersymmetric Gauge Theories, I","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Nikita Nekrasov, Norton Lee","submitted_at":"2020-09-23T15:00:02Z","abstract_excerpt":"The relation between supersymmetric gauge theories in four dimensions and quantum spin systems is exploited to find an explicit formula for the Jost function of the $N$ site $\\mathfrak{sl}_{2}$ $XXX$ spin chain (for infinite dimensional complex spin representations), as well as the $SL_N$ Gaudin system, which reduces, in a limiting case, to that of the $N$-particle periodic Toda chain. Using the non-perturbative Dyson-Schwinger equations of the supersymmetric gauge theory we establish relations between the spin chain commuting Hamiltonians with the twisted chiral ring of gauge theory. Along th"},"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":"2009.11199","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-09-23T15:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"cbd0bb976dd4db63526851ac84fd1c3186d46fe088c39dbd95069f7dfe20ff5f","abstract_canon_sha256":"ad4ef588c855bd6b79704526f4bcc739866211c5538f7bc60a7e472d3cb9ee8c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:47:52.055876Z","signature_b64":"tndGzcjs6ojHHdmr7Ew2eC7Vu3ke1BImQc4uxCoswSsE2vJZBD8YS44ZqsMHFa5W0ZcCp5AJHK0NhdkS+kvdDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e724ecdc2b4df38e650776a3b2a386ecf84be793db39b01e2a2b2b4f32d37e8f","last_reissued_at":"2026-07-05T07:47:52.055387Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:47:52.055387Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Spin Systems and Supersymmetric Gauge Theories, I","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Nikita Nekrasov, Norton Lee","submitted_at":"2020-09-23T15:00:02Z","abstract_excerpt":"The relation between supersymmetric gauge theories in four dimensions and quantum spin systems is exploited to find an explicit formula for the Jost function of the $N$ site $\\mathfrak{sl}_{2}$ $XXX$ spin chain (for infinite dimensional complex spin representations), as well as the $SL_N$ Gaudin system, which reduces, in a limiting case, to that of the $N$-particle periodic Toda chain. Using the non-perturbative Dyson-Schwinger equations of the supersymmetric gauge theory we establish relations between the spin chain commuting Hamiltonians with the twisted chiral ring of gauge theory. Along th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.11199","kind":"arxiv","version":3},"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/2009.11199/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2009.11199","created_at":"2026-07-05T07:47:52.055441+00:00"},{"alias_kind":"arxiv_version","alias_value":"2009.11199v3","created_at":"2026-07-05T07:47:52.055441+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.11199","created_at":"2026-07-05T07:47:52.055441+00:00"},{"alias_kind":"pith_short_12","alias_value":"44SOZXBLJXZY","created_at":"2026-07-05T07:47:52.055441+00:00"},{"alias_kind":"pith_short_16","alias_value":"44SOZXBLJXZY4ZIH","created_at":"2026-07-05T07:47:52.055441+00:00"},{"alias_kind":"pith_short_8","alias_value":"44SOZXBL","created_at":"2026-07-05T07:47:52.055441+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2510.01768","citing_title":"Dimers for Relativistic Toda Models with Reflective Boundaries","ref_index":51,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/44SOZXBLJXZY4ZIHO2R3FI4G5T","json":"https://pith.science/pith/44SOZXBLJXZY4ZIHO2R3FI4G5T.json","graph_json":"https://pith.science/api/pith-number/44SOZXBLJXZY4ZIHO2R3FI4G5T/graph.json","events_json":"https://pith.science/api/pith-number/44SOZXBLJXZY4ZIHO2R3FI4G5T/events.json","paper":"https://pith.science/paper/44SOZXBL"},"agent_actions":{"view_html":"https://pith.science/pith/44SOZXBLJXZY4ZIHO2R3FI4G5T","download_json":"https://pith.science/pith/44SOZXBLJXZY4ZIHO2R3FI4G5T.json","view_paper":"https://pith.science/paper/44SOZXBL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2009.11199&json=true","fetch_graph":"https://pith.science/api/pith-number/44SOZXBLJXZY4ZIHO2R3FI4G5T/graph.json","fetch_events":"https://pith.science/api/pith-number/44SOZXBLJXZY4ZIHO2R3FI4G5T/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/44SOZXBLJXZY4ZIHO2R3FI4G5T/action/timestamp_anchor","attest_storage":"https://pith.science/pith/44SOZXBLJXZY4ZIHO2R3FI4G5T/action/storage_attestation","attest_author":"https://pith.science/pith/44SOZXBLJXZY4ZIHO2R3FI4G5T/action/author_attestation","sign_citation":"https://pith.science/pith/44SOZXBLJXZY4ZIHO2R3FI4G5T/action/citation_signature","submit_replication":"https://pith.science/pith/44SOZXBLJXZY4ZIHO2R3FI4G5T/action/replication_record"}},"created_at":"2026-07-05T07:47:52.055441+00:00","updated_at":"2026-07-05T07:47:52.055441+00:00"}