{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:FCB5QMO743NS6MFKQDVD4UORWT","short_pith_number":"pith:FCB5QMO7","schema_version":"1.0","canonical_sha256":"2883d831dfe6db2f30aa80ea3e51d1b4f8661b4738894682880927034963a517","source":{"kind":"arxiv","id":"1408.6246","version":3},"attestation_state":"computed","paper":{"title":"Planck Constant as Spectral Parameter in Integrable Systems and KZB Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.RT","nlin.SI"],"primary_cat":"hep-th","authors_text":"A. Levin, A. Zotov, M. Olshanetsky","submitted_at":"2014-08-26T20:21:03Z","abstract_excerpt":"We construct special rational ${\\rm gl}_N$ Knizhnik-Zamolodchikov-Bernard (KZB) equations with $\\tilde N$ punctures by deformation of the corresponding quantum ${\\rm gl}_N$ rational $R$-matrix. They have two parameters. The limit of the first one brings the model to the ordinary rational KZ equation. Another one is $\\tau$. At the level of classical mechanics the deformation parameter $\\tau$ allows to extend the previously obtained modified Gaudin models to the modified Schlesinger systems. Next, we notice that the identities underlying generic (elliptic) KZB equations follow from some addition"},"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":"1408.6246","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-08-26T20:21:03Z","cross_cats_sorted":["math-ph","math.MP","math.RT","nlin.SI"],"title_canon_sha256":"b12b8aadb843e3b0c8ce667634c7879860a92e6cecc06b47f2670df5ca391782","abstract_canon_sha256":"a4811c2bdd97513c93b1d2ea60a0f75b96b1c77afef81b41ec23bcbfe80b9796"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:12.900394Z","signature_b64":"liapbLOGGzyHyj8/HRgNDYQxRzrs9i5lci29OnWnHGYqnJNUD2sZxTJneTlVdS1QDtQEclZ4r73/XiWwzW5vDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2883d831dfe6db2f30aa80ea3e51d1b4f8661b4738894682880927034963a517","last_reissued_at":"2026-05-18T01:42:12.899747Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:12.899747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Planck Constant as Spectral Parameter in Integrable Systems and KZB Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.RT","nlin.SI"],"primary_cat":"hep-th","authors_text":"A. Levin, A. Zotov, M. Olshanetsky","submitted_at":"2014-08-26T20:21:03Z","abstract_excerpt":"We construct special rational ${\\rm gl}_N$ Knizhnik-Zamolodchikov-Bernard (KZB) equations with $\\tilde N$ punctures by deformation of the corresponding quantum ${\\rm gl}_N$ rational $R$-matrix. They have two parameters. The limit of the first one brings the model to the ordinary rational KZ equation. Another one is $\\tau$. At the level of classical mechanics the deformation parameter $\\tau$ allows to extend the previously obtained modified Gaudin models to the modified Schlesinger systems. Next, we notice that the identities underlying generic (elliptic) KZB equations follow from some addition"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.6246","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":""},"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":"1408.6246","created_at":"2026-05-18T01:42:12.899831+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.6246v3","created_at":"2026-05-18T01:42:12.899831+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.6246","created_at":"2026-05-18T01:42:12.899831+00:00"},{"alias_kind":"pith_short_12","alias_value":"FCB5QMO743NS","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_16","alias_value":"FCB5QMO743NS6MFK","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_8","alias_value":"FCB5QMO7","created_at":"2026-05-18T12:28:28.263976+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/FCB5QMO743NS6MFKQDVD4UORWT","json":"https://pith.science/pith/FCB5QMO743NS6MFKQDVD4UORWT.json","graph_json":"https://pith.science/api/pith-number/FCB5QMO743NS6MFKQDVD4UORWT/graph.json","events_json":"https://pith.science/api/pith-number/FCB5QMO743NS6MFKQDVD4UORWT/events.json","paper":"https://pith.science/paper/FCB5QMO7"},"agent_actions":{"view_html":"https://pith.science/pith/FCB5QMO743NS6MFKQDVD4UORWT","download_json":"https://pith.science/pith/FCB5QMO743NS6MFKQDVD4UORWT.json","view_paper":"https://pith.science/paper/FCB5QMO7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.6246&json=true","fetch_graph":"https://pith.science/api/pith-number/FCB5QMO743NS6MFKQDVD4UORWT/graph.json","fetch_events":"https://pith.science/api/pith-number/FCB5QMO743NS6MFKQDVD4UORWT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FCB5QMO743NS6MFKQDVD4UORWT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FCB5QMO743NS6MFKQDVD4UORWT/action/storage_attestation","attest_author":"https://pith.science/pith/FCB5QMO743NS6MFKQDVD4UORWT/action/author_attestation","sign_citation":"https://pith.science/pith/FCB5QMO743NS6MFKQDVD4UORWT/action/citation_signature","submit_replication":"https://pith.science/pith/FCB5QMO743NS6MFKQDVD4UORWT/action/replication_record"}},"created_at":"2026-05-18T01:42:12.899831+00:00","updated_at":"2026-05-18T01:42:12.899831+00:00"}