{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:BMX5JJTOE4Z2ZEA563T53I2UH7","short_pith_number":"pith:BMX5JJTO","schema_version":"1.0","canonical_sha256":"0b2fd4a66e2733ac901df6e7dda3543fe2600634361364a69b05189204c5a395","source":{"kind":"arxiv","id":"2608.08428","version":1},"attestation_state":"computed","paper":{"title":"Organizing transitions and their cascades: Generalized symmetry enforcement in massless flows or Higgs transitions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Yoshiki Fukusumi, Yuma Furuta","submitted_at":"2026-08-09T02:57:39Z","abstract_excerpt":"We study the role of generalized symmetry in massless renormalization group flows or Higgs transitions. In particular, we revisit the massless renormalization group flows in unitary minimal models, $\\mathbf{M}(p,p+1) \\rightarrow \\overline{\\mathbf{M}(p-1,p)}$ preserving the fusion ring symmetry $\\text{FR} (SU(2)_{p-2})\\subset \\mathbf{M}(p,p+1)$ where $p$ is an integer satisfying $p>3$. In this series of flows, we demonstrate that the unbroken fusion ring symmetry $\\text{FR} (SU(2)_{p-2})$ eliminates all relevant perturbations in the $\\overline{\\mathbf{M}(p-1,p)}$ model. Hence, the infrared theo"},"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":"2608.08428","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-08-09T02:57:39Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","math-ph","math.MP"],"title_canon_sha256":"baf3f64e959c5d003b9fe1e783149c3a6612f31bf2abf3ad54767b2ff1b030f5","abstract_canon_sha256":"d15537a7ccd0094dacea7516b1eaed53e7188267f4ec16491feef245f6e1d0c1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-11T01:22:36.714008Z","signature_b64":"x2k2P4/0mZWNH0HkE3sQKbOSyWsADZbaJPFmF4DJMo5ecVV/rUKmzRcFtYgFSoUr2PCzCAkhMmeAgA8zj1pdCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b2fd4a66e2733ac901df6e7dda3543fe2600634361364a69b05189204c5a395","last_reissued_at":"2026-08-11T01:22:36.711606Z","signature_status":"signed_v1","first_computed_at":"2026-08-11T01:22:36.711606Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Organizing transitions and their cascades: Generalized symmetry enforcement in massless flows or Higgs transitions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Yoshiki Fukusumi, Yuma Furuta","submitted_at":"2026-08-09T02:57:39Z","abstract_excerpt":"We study the role of generalized symmetry in massless renormalization group flows or Higgs transitions. In particular, we revisit the massless renormalization group flows in unitary minimal models, $\\mathbf{M}(p,p+1) \\rightarrow \\overline{\\mathbf{M}(p-1,p)}$ preserving the fusion ring symmetry $\\text{FR} (SU(2)_{p-2})\\subset \\mathbf{M}(p,p+1)$ where $p$ is an integer satisfying $p>3$. In this series of flows, we demonstrate that the unbroken fusion ring symmetry $\\text{FR} (SU(2)_{p-2})$ eliminates all relevant perturbations in the $\\overline{\\mathbf{M}(p-1,p)}$ model. Hence, the infrared theo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.08428","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/2608.08428/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":"2608.08428","created_at":"2026-08-11T01:22:36.712313+00:00"},{"alias_kind":"arxiv_version","alias_value":"2608.08428v1","created_at":"2026-08-11T01:22:36.712313+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.08428","created_at":"2026-08-11T01:22:36.712313+00:00"},{"alias_kind":"pith_short_12","alias_value":"BMX5JJTOE4Z2","created_at":"2026-08-11T01:22:36.712313+00:00"},{"alias_kind":"pith_short_16","alias_value":"BMX5JJTOE4Z2ZEA5","created_at":"2026-08-11T01:22:36.712313+00:00"},{"alias_kind":"pith_short_8","alias_value":"BMX5JJTO","created_at":"2026-08-11T01:22:36.712313+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/BMX5JJTOE4Z2ZEA563T53I2UH7","json":"https://pith.science/pith/BMX5JJTOE4Z2ZEA563T53I2UH7.json","graph_json":"https://pith.science/api/pith-number/BMX5JJTOE4Z2ZEA563T53I2UH7/graph.json","events_json":"https://pith.science/api/pith-number/BMX5JJTOE4Z2ZEA563T53I2UH7/events.json","paper":"https://pith.science/paper/BMX5JJTO"},"agent_actions":{"view_html":"https://pith.science/pith/BMX5JJTOE4Z2ZEA563T53I2UH7","download_json":"https://pith.science/pith/BMX5JJTOE4Z2ZEA563T53I2UH7.json","view_paper":"https://pith.science/paper/BMX5JJTO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2608.08428&json=true","fetch_graph":"https://pith.science/api/pith-number/BMX5JJTOE4Z2ZEA563T53I2UH7/graph.json","fetch_events":"https://pith.science/api/pith-number/BMX5JJTOE4Z2ZEA563T53I2UH7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BMX5JJTOE4Z2ZEA563T53I2UH7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BMX5JJTOE4Z2ZEA563T53I2UH7/action/storage_attestation","attest_author":"https://pith.science/pith/BMX5JJTOE4Z2ZEA563T53I2UH7/action/author_attestation","sign_citation":"https://pith.science/pith/BMX5JJTOE4Z2ZEA563T53I2UH7/action/citation_signature","submit_replication":"https://pith.science/pith/BMX5JJTOE4Z2ZEA563T53I2UH7/action/replication_record"}},"created_at":"2026-08-11T01:22:36.712313+00:00","updated_at":"2026-08-11T01:22:36.712313+00:00"}