{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2000:HSIZB2D7X7J5LHSIOIG7PK6AQX","short_pith_number":"pith:HSIZB2D7","schema_version":"1.0","canonical_sha256":"3c9190e87fbfd3d59e48720df7abc085cceefce871a4155b1617f51f1c020326","source":{"kind":"arxiv","id":"math/0001071","version":2},"attestation_state":"computed","paper":{"title":"Free Field Construction for the ABF Models in Regime II","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"math.QA","authors_text":"H.Konno, J.Shiraishi, M.Jimbo, S.Odake, Y.Pugai","submitted_at":"2000-01-13T05:26:40Z","abstract_excerpt":"The Wakimoto construction for the quantum affine algebra U_q(\\hat{sl}_2) admits a reduction to the q-deformed parafermion algebras. We interpret the latter theory as a free field realization of the Andrews-Baxter-Forrester models in regime II. We give multi-particle form factors of some local operators on the lattice and compute their scaling limit, where the models are described by a massive field theory with Z_k symmetric minimal scattering matrices."},"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":"math/0001071","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"2000-01-13T05:26:40Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"bb897b95aa96f0680aa38bec99ab2b6e045e61aa8d25682a7c97ff5c74984365","abstract_canon_sha256":"3d676eefeac651921e8c9ea664cf4a36bba5b92c10f29edbb6a939460afaef10"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:30.427213Z","signature_b64":"F21YKG8MCVe+jI0n2CGe6xQfvVej0owOBYxYD27Glz9NKk/Lo2yBi7j5Aus7q/BgpdGN28MOSGJxPo6PvzdwAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c9190e87fbfd3d59e48720df7abc085cceefce871a4155b1617f51f1c020326","last_reissued_at":"2026-05-18T01:38:30.426736Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:30.426736Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Free Field Construction for the ABF Models in Regime II","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"math.QA","authors_text":"H.Konno, J.Shiraishi, M.Jimbo, S.Odake, Y.Pugai","submitted_at":"2000-01-13T05:26:40Z","abstract_excerpt":"The Wakimoto construction for the quantum affine algebra U_q(\\hat{sl}_2) admits a reduction to the q-deformed parafermion algebras. We interpret the latter theory as a free field realization of the Andrews-Baxter-Forrester models in regime II. We give multi-particle form factors of some local operators on the lattice and compute their scaling limit, where the models are described by a massive field theory with Z_k symmetric minimal scattering matrices."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0001071","kind":"arxiv","version":2},"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":"math/0001071","created_at":"2026-05-18T01:38:30.426809+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0001071v2","created_at":"2026-05-18T01:38:30.426809+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0001071","created_at":"2026-05-18T01:38:30.426809+00:00"},{"alias_kind":"pith_short_12","alias_value":"HSIZB2D7X7J5","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_16","alias_value":"HSIZB2D7X7J5LHSI","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_8","alias_value":"HSIZB2D7","created_at":"2026-05-18T12:25:49.631198+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/HSIZB2D7X7J5LHSIOIG7PK6AQX","json":"https://pith.science/pith/HSIZB2D7X7J5LHSIOIG7PK6AQX.json","graph_json":"https://pith.science/api/pith-number/HSIZB2D7X7J5LHSIOIG7PK6AQX/graph.json","events_json":"https://pith.science/api/pith-number/HSIZB2D7X7J5LHSIOIG7PK6AQX/events.json","paper":"https://pith.science/paper/HSIZB2D7"},"agent_actions":{"view_html":"https://pith.science/pith/HSIZB2D7X7J5LHSIOIG7PK6AQX","download_json":"https://pith.science/pith/HSIZB2D7X7J5LHSIOIG7PK6AQX.json","view_paper":"https://pith.science/paper/HSIZB2D7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0001071&json=true","fetch_graph":"https://pith.science/api/pith-number/HSIZB2D7X7J5LHSIOIG7PK6AQX/graph.json","fetch_events":"https://pith.science/api/pith-number/HSIZB2D7X7J5LHSIOIG7PK6AQX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HSIZB2D7X7J5LHSIOIG7PK6AQX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HSIZB2D7X7J5LHSIOIG7PK6AQX/action/storage_attestation","attest_author":"https://pith.science/pith/HSIZB2D7X7J5LHSIOIG7PK6AQX/action/author_attestation","sign_citation":"https://pith.science/pith/HSIZB2D7X7J5LHSIOIG7PK6AQX/action/citation_signature","submit_replication":"https://pith.science/pith/HSIZB2D7X7J5LHSIOIG7PK6AQX/action/replication_record"}},"created_at":"2026-05-18T01:38:30.426809+00:00","updated_at":"2026-05-18T01:38:30.426809+00:00"}