{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:WZEAMC7AZBBNI5DLBHWDVXFA3Z","short_pith_number":"pith:WZEAMC7A","schema_version":"1.0","canonical_sha256":"b648060be0c842d4746b09ec3adca0de45b8a493af0b4090b465d2465d8b526e","source":{"kind":"arxiv","id":"2606.28783","version":1},"attestation_state":"computed","paper":{"title":"UV completion of 2D Ising CFT:a golden E_8 massless $S$-matrix","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Changrim Ahn, Minkyoo Kim","submitted_at":"2026-06-27T07:25:04Z","abstract_excerpt":"We present a full classification of UV complete QFTs that RG flow to the 2D Ising CFT by solving the bootstrap equations for massless right--left S-matrices. For the Ising model with E_8 spectrum, we find exactly four completions, arising from higher-T\\bar T-type deformations, including a previously unknown ``golden flow'' whose UV fixed point is a diagonal su(2) coset CFT (c=25/14) along \\Delta_{\\rm rel}=2/7. A universal Fibonacci/E_8 structure governs the R--L adjacency matrices and the Y-system periods, so that the E_8 symmetry persists across all RG scales."},"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":"2606.28783","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-27T07:25:04Z","cross_cats_sorted":[],"title_canon_sha256":"4527840bb394aefd5f630b76296dd2428108f868405405b5fca6bc54ddaa668d","abstract_canon_sha256":"ece81fd0efba57135e126c019c8388c5db8a4142697f56362f6c594c848ec601"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-30T01:16:51.766262Z","signature_b64":"CKudc+imHIxZhtMq7GktA5s9M4EYG/ejHWO8F5EE7WQ92jwlGzKu5Vgxy9HVPmIpLXEEkJo5DFQESEd4IQBLCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b648060be0c842d4746b09ec3adca0de45b8a493af0b4090b465d2465d8b526e","last_reissued_at":"2026-06-30T01:16:51.765727Z","signature_status":"signed_v1","first_computed_at":"2026-06-30T01:16:51.765727Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"UV completion of 2D Ising CFT:a golden E_8 massless $S$-matrix","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Changrim Ahn, Minkyoo Kim","submitted_at":"2026-06-27T07:25:04Z","abstract_excerpt":"We present a full classification of UV complete QFTs that RG flow to the 2D Ising CFT by solving the bootstrap equations for massless right--left S-matrices. For the Ising model with E_8 spectrum, we find exactly four completions, arising from higher-T\\bar T-type deformations, including a previously unknown ``golden flow'' whose UV fixed point is a diagonal su(2) coset CFT (c=25/14) along \\Delta_{\\rm rel}=2/7. A universal Fibonacci/E_8 structure governs the R--L adjacency matrices and the Y-system periods, so that the E_8 symmetry persists across all RG scales."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.28783","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/2606.28783/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":"2606.28783","created_at":"2026-06-30T01:16:51.765800+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.28783v1","created_at":"2026-06-30T01:16:51.765800+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.28783","created_at":"2026-06-30T01:16:51.765800+00:00"},{"alias_kind":"pith_short_12","alias_value":"WZEAMC7AZBBN","created_at":"2026-06-30T01:16:51.765800+00:00"},{"alias_kind":"pith_short_16","alias_value":"WZEAMC7AZBBNI5DL","created_at":"2026-06-30T01:16:51.765800+00:00"},{"alias_kind":"pith_short_8","alias_value":"WZEAMC7A","created_at":"2026-06-30T01:16:51.765800+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/WZEAMC7AZBBNI5DLBHWDVXFA3Z","json":"https://pith.science/pith/WZEAMC7AZBBNI5DLBHWDVXFA3Z.json","graph_json":"https://pith.science/api/pith-number/WZEAMC7AZBBNI5DLBHWDVXFA3Z/graph.json","events_json":"https://pith.science/api/pith-number/WZEAMC7AZBBNI5DLBHWDVXFA3Z/events.json","paper":"https://pith.science/paper/WZEAMC7A"},"agent_actions":{"view_html":"https://pith.science/pith/WZEAMC7AZBBNI5DLBHWDVXFA3Z","download_json":"https://pith.science/pith/WZEAMC7AZBBNI5DLBHWDVXFA3Z.json","view_paper":"https://pith.science/paper/WZEAMC7A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.28783&json=true","fetch_graph":"https://pith.science/api/pith-number/WZEAMC7AZBBNI5DLBHWDVXFA3Z/graph.json","fetch_events":"https://pith.science/api/pith-number/WZEAMC7AZBBNI5DLBHWDVXFA3Z/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WZEAMC7AZBBNI5DLBHWDVXFA3Z/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WZEAMC7AZBBNI5DLBHWDVXFA3Z/action/storage_attestation","attest_author":"https://pith.science/pith/WZEAMC7AZBBNI5DLBHWDVXFA3Z/action/author_attestation","sign_citation":"https://pith.science/pith/WZEAMC7AZBBNI5DLBHWDVXFA3Z/action/citation_signature","submit_replication":"https://pith.science/pith/WZEAMC7AZBBNI5DLBHWDVXFA3Z/action/replication_record"}},"created_at":"2026-06-30T01:16:51.765800+00:00","updated_at":"2026-06-30T01:16:51.765800+00:00"}