{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:SKYU3ZQ7YYLTZOD23BCIPQD6NF","short_pith_number":"pith:SKYU3ZQ7","schema_version":"1.0","canonical_sha256":"92b14de61fc6173cb87ad84487c07e69549d9d574354c166134048b6b2294740","source":{"kind":"arxiv","id":"hep-th/0104197","version":2},"attestation_state":"computed","paper":{"title":"Models WD_{n} in the presence of disorder and the coupled models","license":"","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"hep-th","authors_text":"Raoul Santachiara, Vladimir S. Dotsenko, Xuan Son Nguyen","submitted_at":"2001-04-23T18:28:01Z","abstract_excerpt":"We have studied the conformal models WD_{n}^{(p)}, n=3,4,5,..., in the presence of disorder which couples to the energy operator of the model. In the limit of p<<1 where p is the corresponding minimal model index, the problem could be analyzed by means of the perturbative renormalization group, with $epsilon$-expansion in $\\epsilon$=1/p. We have found that the disorder makes to flow the model WD_{n}^{(p)} to the model WD_{n}^{(p-1)} without disorder. In the related problem of N coupled regular WD_{n}^{(p)} models (no disorder), coupled by their energy operators, we find a flow to the fixed poi"},"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/0104197","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2001-04-23T18:28:01Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"8d5c3a028b569ed01fd5fc6a2edb5c8834086c0df5bc14cf6b69d33c6c2fd4e7","abstract_canon_sha256":"77b01180e33f2a9fa028ae424ad103a18c23c13a1fe6a7fb4e3bad24fcecc443"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:59.960910Z","signature_b64":"U/UvPWflNhti97WTHv9/luU7vWZBbuk+SubK4CU3jfQGgQfqhJOC7rYEqULKaYAKmsOrFSN6PTt/vEuaJl2ADw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92b14de61fc6173cb87ad84487c07e69549d9d574354c166134048b6b2294740","last_reissued_at":"2026-05-18T01:05:59.960498Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:59.960498Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Models WD_{n} in the presence of disorder and the coupled models","license":"","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"hep-th","authors_text":"Raoul Santachiara, Vladimir S. Dotsenko, Xuan Son Nguyen","submitted_at":"2001-04-23T18:28:01Z","abstract_excerpt":"We have studied the conformal models WD_{n}^{(p)}, n=3,4,5,..., in the presence of disorder which couples to the energy operator of the model. In the limit of p<<1 where p is the corresponding minimal model index, the problem could be analyzed by means of the perturbative renormalization group, with $epsilon$-expansion in $\\epsilon$=1/p. We have found that the disorder makes to flow the model WD_{n}^{(p)} to the model WD_{n}^{(p-1)} without disorder. In the related problem of N coupled regular WD_{n}^{(p)} models (no disorder), coupled by their energy operators, we find a flow to the fixed poi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0104197","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":"hep-th/0104197","created_at":"2026-05-18T01:05:59.960560+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0104197v2","created_at":"2026-05-18T01:05:59.960560+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0104197","created_at":"2026-05-18T01:05:59.960560+00:00"},{"alias_kind":"pith_short_12","alias_value":"SKYU3ZQ7YYLT","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_16","alias_value":"SKYU3ZQ7YYLTZOD2","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_8","alias_value":"SKYU3ZQ7","created_at":"2026-05-18T12:25:50.845339+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/SKYU3ZQ7YYLTZOD23BCIPQD6NF","json":"https://pith.science/pith/SKYU3ZQ7YYLTZOD23BCIPQD6NF.json","graph_json":"https://pith.science/api/pith-number/SKYU3ZQ7YYLTZOD23BCIPQD6NF/graph.json","events_json":"https://pith.science/api/pith-number/SKYU3ZQ7YYLTZOD23BCIPQD6NF/events.json","paper":"https://pith.science/paper/SKYU3ZQ7"},"agent_actions":{"view_html":"https://pith.science/pith/SKYU3ZQ7YYLTZOD23BCIPQD6NF","download_json":"https://pith.science/pith/SKYU3ZQ7YYLTZOD23BCIPQD6NF.json","view_paper":"https://pith.science/paper/SKYU3ZQ7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0104197&json=true","fetch_graph":"https://pith.science/api/pith-number/SKYU3ZQ7YYLTZOD23BCIPQD6NF/graph.json","fetch_events":"https://pith.science/api/pith-number/SKYU3ZQ7YYLTZOD23BCIPQD6NF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SKYU3ZQ7YYLTZOD23BCIPQD6NF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SKYU3ZQ7YYLTZOD23BCIPQD6NF/action/storage_attestation","attest_author":"https://pith.science/pith/SKYU3ZQ7YYLTZOD23BCIPQD6NF/action/author_attestation","sign_citation":"https://pith.science/pith/SKYU3ZQ7YYLTZOD23BCIPQD6NF/action/citation_signature","submit_replication":"https://pith.science/pith/SKYU3ZQ7YYLTZOD23BCIPQD6NF/action/replication_record"}},"created_at":"2026-05-18T01:05:59.960560+00:00","updated_at":"2026-05-18T01:05:59.960560+00:00"}