{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1994:GHJOQXDXAUQYFTOMJGN52AFKIC","short_pith_number":"pith:GHJOQXDX","schema_version":"1.0","canonical_sha256":"31d2e85c77052182cdcc499bdd00aa40b1223b1755ecb4fbb0dbd015855f5023","source":{"kind":"arxiv","id":"hep-th/9412229","version":1},"attestation_state":"computed","paper":{"title":"Integrable Structure of Conformal Field Theory, Quantum KdV Theory and Thermodynamic Bethe Ansatz","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Zamolodchikov, S. Lukyanov, V. Bazhanov","submitted_at":"1994-12-28T23:19:42Z","abstract_excerpt":"We construct the quantum versions of the monodromy matrices of KdV theory. The traces of these quantum monodromy matrices, which will be called as ``${\\bf T}$-operators'', act in highest weight Virasoro modules. The ${\\bf T}$-operators depend on the spectral parameter $\\lambda$ and their expansion around $\\lambda = \\infty$ generates an infinite set of commuting Hamiltonians of the quantum KdV system. The ${\\bf T}$-operators can be viewed as the continuous field theory versions of the commuting transfer-matrices of integrable lattice theory. In particular, we show that for the values $c=1-3{{(2"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-th/9412229","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1994-12-28T23:19:42Z","cross_cats_sorted":[],"title_canon_sha256":"97ac0a6050c517e3e89db162d6263c1c12c7e062b6b89f52dc7abc78ae225e2b","abstract_canon_sha256":"cdab605118f4eac7b25d78972b96082040f36e8dff9a77ecb37d382e3874591c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:28:56.970577Z","signature_b64":"eZxe7KwKOK3uZK94VC+OAOJ5IaQWiLLzjh23EGSYVlbgM+/g3OCyfEJYOJOcs+iXq1hKRO1/aJnmOo/PwfrCAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31d2e85c77052182cdcc499bdd00aa40b1223b1755ecb4fbb0dbd015855f5023","last_reissued_at":"2026-05-18T04:28:56.970154Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:28:56.970154Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Integrable Structure of Conformal Field Theory, Quantum KdV Theory and Thermodynamic Bethe Ansatz","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Zamolodchikov, S. Lukyanov, V. Bazhanov","submitted_at":"1994-12-28T23:19:42Z","abstract_excerpt":"We construct the quantum versions of the monodromy matrices of KdV theory. The traces of these quantum monodromy matrices, which will be called as ``${\\bf T}$-operators'', act in highest weight Virasoro modules. The ${\\bf T}$-operators depend on the spectral parameter $\\lambda$ and their expansion around $\\lambda = \\infty$ generates an infinite set of commuting Hamiltonians of the quantum KdV system. The ${\\bf T}$-operators can be viewed as the continuous field theory versions of the commuting transfer-matrices of integrable lattice theory. In particular, we show that for the values $c=1-3{{(2"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9412229","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":"hep-th/9412229","created_at":"2026-05-18T04:28:56.970218+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9412229v1","created_at":"2026-05-18T04:28:56.970218+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9412229","created_at":"2026-05-18T04:28:56.970218+00:00"},{"alias_kind":"pith_short_12","alias_value":"GHJOQXDXAUQY","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_16","alias_value":"GHJOQXDXAUQYFTOM","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_8","alias_value":"GHJOQXDX","created_at":"2026-05-18T12:25:47.102015+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":3,"sample":[{"citing_arxiv_id":"2605.20688","citing_title":"Fusion of Integrable Defects and the Defect $g$-Function","ref_index":16,"is_internal_anchor":true},{"citing_arxiv_id":"2506.23155","citing_title":"Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders","ref_index":273,"is_internal_anchor":true},{"citing_arxiv_id":"2603.19383","citing_title":"Modular Properties of Symplectic Fermion Generalised Gibbs Ensemble","ref_index":36,"is_internal_anchor":true},{"citing_arxiv_id":"2604.07829","citing_title":"Integrals of motion in $WE_6$ CFT and the ODE/IM correspondence","ref_index":9,"is_internal_anchor":false},{"citing_arxiv_id":"2604.14899","citing_title":"The ODE/IM Correspondence between $C(2)^{(2)}$-type Linear Problems and 2d $\\mathcal{N}=1$ SCFT","ref_index":1,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GHJOQXDXAUQYFTOMJGN52AFKIC","json":"https://pith.science/pith/GHJOQXDXAUQYFTOMJGN52AFKIC.json","graph_json":"https://pith.science/api/pith-number/GHJOQXDXAUQYFTOMJGN52AFKIC/graph.json","events_json":"https://pith.science/api/pith-number/GHJOQXDXAUQYFTOMJGN52AFKIC/events.json","paper":"https://pith.science/paper/GHJOQXDX"},"agent_actions":{"view_html":"https://pith.science/pith/GHJOQXDXAUQYFTOMJGN52AFKIC","download_json":"https://pith.science/pith/GHJOQXDXAUQYFTOMJGN52AFKIC.json","view_paper":"https://pith.science/paper/GHJOQXDX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9412229&json=true","fetch_graph":"https://pith.science/api/pith-number/GHJOQXDXAUQYFTOMJGN52AFKIC/graph.json","fetch_events":"https://pith.science/api/pith-number/GHJOQXDXAUQYFTOMJGN52AFKIC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GHJOQXDXAUQYFTOMJGN52AFKIC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GHJOQXDXAUQYFTOMJGN52AFKIC/action/storage_attestation","attest_author":"https://pith.science/pith/GHJOQXDXAUQYFTOMJGN52AFKIC/action/author_attestation","sign_citation":"https://pith.science/pith/GHJOQXDXAUQYFTOMJGN52AFKIC/action/citation_signature","submit_replication":"https://pith.science/pith/GHJOQXDXAUQYFTOMJGN52AFKIC/action/replication_record"}},"created_at":"2026-05-18T04:28:56.970218+00:00","updated_at":"2026-05-18T04:28:56.970218+00:00"}