{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:JJTZZ5WTDTMXUM2QLDWXHQQBBS","short_pith_number":"pith:JJTZZ5WT","schema_version":"1.0","canonical_sha256":"4a679cf6d31cd97a335058ed73c2010ca912fbf4f866b906eaad3c9fcc2f01f4","source":{"kind":"arxiv","id":"1508.06595","version":3},"attestation_state":"computed","paper":{"title":"From Quantum B\\\"acklund Transforms to Topological Quantum Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","nlin.SI"],"primary_cat":"math-ph","authors_text":"Christian Korff","submitted_at":"2015-08-26T18:25:35Z","abstract_excerpt":"We derive the quantum analogue of a B\\\"acklund transformation for the quantised Ablowitz-Ladik chain, a space discretisation of the nonlinear Schr\\\"odinger equation. The quantisation of the Ablowitz-Ladik chain leads to the $q$-boson model. Using a previous construction of Baxter's Q-operator for this model by the author, a set of functional relations is obtained which matches the relations of a one-variable classical B\\\"acklund transform to all orders in $\\hbar $. We construct also a second Q-operator and show that it is closely related to the inverse of the first. The multi-B\\\"acklund transf"},"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":"1508.06595","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-08-26T18:25:35Z","cross_cats_sorted":["math.MP","nlin.SI"],"title_canon_sha256":"dc5f991e7c5ed42470a3d6c06eec42512381b0a6824960a79b12c536855cef39","abstract_canon_sha256":"5383afbdd4afa22ee2b82766bafb6e074da4e38898765350d3eff2d07cf7c5ec"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:22.943669Z","signature_b64":"6ZVB8OUmILrt4Ip8oLlQ5QF0GmKumhz1gARrJoQ++fYdv7Zwn3xc7uteXQBHlboTJvy8g7kFwQobrYsGS71nCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4a679cf6d31cd97a335058ed73c2010ca912fbf4f866b906eaad3c9fcc2f01f4","last_reissued_at":"2026-05-18T01:21:22.942926Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:22.942926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"From Quantum B\\\"acklund Transforms to Topological Quantum Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","nlin.SI"],"primary_cat":"math-ph","authors_text":"Christian Korff","submitted_at":"2015-08-26T18:25:35Z","abstract_excerpt":"We derive the quantum analogue of a B\\\"acklund transformation for the quantised Ablowitz-Ladik chain, a space discretisation of the nonlinear Schr\\\"odinger equation. The quantisation of the Ablowitz-Ladik chain leads to the $q$-boson model. Using a previous construction of Baxter's Q-operator for this model by the author, a set of functional relations is obtained which matches the relations of a one-variable classical B\\\"acklund transform to all orders in $\\hbar $. We construct also a second Q-operator and show that it is closely related to the inverse of the first. The multi-B\\\"acklund transf"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.06595","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":"1508.06595","created_at":"2026-05-18T01:21:22.943043+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.06595v3","created_at":"2026-05-18T01:21:22.943043+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.06595","created_at":"2026-05-18T01:21:22.943043+00:00"},{"alias_kind":"pith_short_12","alias_value":"JJTZZ5WTDTMX","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_16","alias_value":"JJTZZ5WTDTMXUM2Q","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_8","alias_value":"JJTZZ5WT","created_at":"2026-05-18T12:29:27.538025+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/JJTZZ5WTDTMXUM2QLDWXHQQBBS","json":"https://pith.science/pith/JJTZZ5WTDTMXUM2QLDWXHQQBBS.json","graph_json":"https://pith.science/api/pith-number/JJTZZ5WTDTMXUM2QLDWXHQQBBS/graph.json","events_json":"https://pith.science/api/pith-number/JJTZZ5WTDTMXUM2QLDWXHQQBBS/events.json","paper":"https://pith.science/paper/JJTZZ5WT"},"agent_actions":{"view_html":"https://pith.science/pith/JJTZZ5WTDTMXUM2QLDWXHQQBBS","download_json":"https://pith.science/pith/JJTZZ5WTDTMXUM2QLDWXHQQBBS.json","view_paper":"https://pith.science/paper/JJTZZ5WT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.06595&json=true","fetch_graph":"https://pith.science/api/pith-number/JJTZZ5WTDTMXUM2QLDWXHQQBBS/graph.json","fetch_events":"https://pith.science/api/pith-number/JJTZZ5WTDTMXUM2QLDWXHQQBBS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JJTZZ5WTDTMXUM2QLDWXHQQBBS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JJTZZ5WTDTMXUM2QLDWXHQQBBS/action/storage_attestation","attest_author":"https://pith.science/pith/JJTZZ5WTDTMXUM2QLDWXHQQBBS/action/author_attestation","sign_citation":"https://pith.science/pith/JJTZZ5WTDTMXUM2QLDWXHQQBBS/action/citation_signature","submit_replication":"https://pith.science/pith/JJTZZ5WTDTMXUM2QLDWXHQQBBS/action/replication_record"}},"created_at":"2026-05-18T01:21:22.943043+00:00","updated_at":"2026-05-18T01:21:22.943043+00:00"}