{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1991:VVLI35JPEHUVDW3LGKM6JVS2QQ","short_pith_number":"pith:VVLI35JP","schema_version":"1.0","canonical_sha256":"ad568df52f21e951db6b3299e4d65a84098a3321e1cbcafb11bbb80c5faabe41","source":{"kind":"arxiv","id":"hep-th/9110055","version":1},"attestation_state":"computed","paper":{"title":"Topological Matter, Integrable Models and Fusion Rings","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"D. Nemeschansky, N.P. Warner","submitted_at":"1991-10-19T03:20:13Z","abstract_excerpt":"We show how topological $G_k/G_k$ models can be embedded into the topological matter models that are obtained by perturbing the twisted $N=2$ supersymmetric, hermitian symmetric, coset models. In particular, this leads to an embedding of the fusion ring of $G$ as a sub-ring of the perturbed, chiral primary ring. The perturbation of the twisted $N=2$ model that leads to the fusion ring is also shown to lead to an integrable $N=2$ supersymmetric field theory when the untwisted $N=2$ superconformal field theory is perturbed by the same operator and its hermitian conjugate."},"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/9110055","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1991-10-19T03:20:13Z","cross_cats_sorted":[],"title_canon_sha256":"4d7435fc9bd24fb17baaffb118ef6c4902526df828eecf51dccd696a7d5f646a","abstract_canon_sha256":"c3bb2d25cd7d2531dd6b6494956cf73defee80e40c1b311c52d788eed556543e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:54:59.423398Z","signature_b64":"McNcz74qd5BBzTI42V0pXob+VoFTfSpruGST/trLPzPP5jIHbiC9yI4s/eS4y1m918R1ihDZjAFlZ1LcwzUDBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad568df52f21e951db6b3299e4d65a84098a3321e1cbcafb11bbb80c5faabe41","last_reissued_at":"2026-07-04T15:54:59.422986Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:54:59.422986Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topological Matter, Integrable Models and Fusion Rings","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"D. Nemeschansky, N.P. Warner","submitted_at":"1991-10-19T03:20:13Z","abstract_excerpt":"We show how topological $G_k/G_k$ models can be embedded into the topological matter models that are obtained by perturbing the twisted $N=2$ supersymmetric, hermitian symmetric, coset models. In particular, this leads to an embedding of the fusion ring of $G$ as a sub-ring of the perturbed, chiral primary ring. The perturbation of the twisted $N=2$ model that leads to the fusion ring is also shown to lead to an integrable $N=2$ supersymmetric field theory when the untwisted $N=2$ superconformal field theory is perturbed by the same operator and its hermitian conjugate."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9110055","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9110055/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":"hep-th/9110055","created_at":"2026-07-04T15:54:59.423052+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9110055v1","created_at":"2026-07-04T15:54:59.423052+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9110055","created_at":"2026-07-04T15:54:59.423052+00:00"},{"alias_kind":"pith_short_12","alias_value":"VVLI35JPEHUV","created_at":"2026-07-04T15:54:59.423052+00:00"},{"alias_kind":"pith_short_16","alias_value":"VVLI35JPEHUVDW3L","created_at":"2026-07-04T15:54:59.423052+00:00"},{"alias_kind":"pith_short_8","alias_value":"VVLI35JP","created_at":"2026-07-04T15:54:59.423052+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2508.20663","citing_title":"Kac-Moody algebras from M5-giants","ref_index":81,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VVLI35JPEHUVDW3LGKM6JVS2QQ","json":"https://pith.science/pith/VVLI35JPEHUVDW3LGKM6JVS2QQ.json","graph_json":"https://pith.science/api/pith-number/VVLI35JPEHUVDW3LGKM6JVS2QQ/graph.json","events_json":"https://pith.science/api/pith-number/VVLI35JPEHUVDW3LGKM6JVS2QQ/events.json","paper":"https://pith.science/paper/VVLI35JP"},"agent_actions":{"view_html":"https://pith.science/pith/VVLI35JPEHUVDW3LGKM6JVS2QQ","download_json":"https://pith.science/pith/VVLI35JPEHUVDW3LGKM6JVS2QQ.json","view_paper":"https://pith.science/paper/VVLI35JP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9110055&json=true","fetch_graph":"https://pith.science/api/pith-number/VVLI35JPEHUVDW3LGKM6JVS2QQ/graph.json","fetch_events":"https://pith.science/api/pith-number/VVLI35JPEHUVDW3LGKM6JVS2QQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VVLI35JPEHUVDW3LGKM6JVS2QQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VVLI35JPEHUVDW3LGKM6JVS2QQ/action/storage_attestation","attest_author":"https://pith.science/pith/VVLI35JPEHUVDW3LGKM6JVS2QQ/action/author_attestation","sign_citation":"https://pith.science/pith/VVLI35JPEHUVDW3LGKM6JVS2QQ/action/citation_signature","submit_replication":"https://pith.science/pith/VVLI35JPEHUVDW3LGKM6JVS2QQ/action/replication_record"}},"created_at":"2026-07-04T15:54:59.423052+00:00","updated_at":"2026-07-04T15:54:59.423052+00:00"}