{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:TBNTBJSWD2GBZHTEYDXGH74J65","short_pith_number":"pith:TBNTBJSW","schema_version":"1.0","canonical_sha256":"985b30a6561e8c1c9e64c0ee63ff89f74e5f446ea64dfc1e881e27a8268fcf79","source":{"kind":"arxiv","id":"2303.09654","version":2},"attestation_state":"computed","paper":{"title":"Four Lectures on the Random Field Ising Model, Parisi-Sourlas Supersymmetry, and Dimensional Reduction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","hep-th","math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Slava Rychkov","submitted_at":"2023-03-16T21:21:36Z","abstract_excerpt":"Numerical evidence suggests that the Random Field Ising Model loses Parisi-Sourlas SUSY and the dimensional reduction property somewhere between 4 and 5 dimensions, while a related model of branched polymers retains these features in any $d$. These notes give a leisurely introduction to a recent theory, developed jointly with A. Kaviraj and E. Trevisani, which aims to explain these facts. Based on the lectures given in Cortona and at the IHES in 2022."},"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":"2303.09654","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-03-16T21:21:36Z","cross_cats_sorted":["cond-mat.dis-nn","hep-th","math-ph","math.MP"],"title_canon_sha256":"316772ec5b7e053f2e9e06e80f96bbeea625488c6a13b51f4fb26b243c52216b","abstract_canon_sha256":"cb6d39cf54749ebf079f2b5539f5ad971d75d7a5fd08c3b5c070c08f9a7ebe05"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:02:00.164627Z","signature_b64":"8ki2ZcKDCcDGftibo1J2IhWXQKYpSQFndHYHEwfAM+MDRoxTlsAoyxN4iYrdI3OCzcOZCJBCPj+D39QoSBDzDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"985b30a6561e8c1c9e64c0ee63ff89f74e5f446ea64dfc1e881e27a8268fcf79","last_reissued_at":"2026-07-05T07:02:00.163846Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:02:00.163846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Four Lectures on the Random Field Ising Model, Parisi-Sourlas Supersymmetry, and Dimensional Reduction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","hep-th","math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Slava Rychkov","submitted_at":"2023-03-16T21:21:36Z","abstract_excerpt":"Numerical evidence suggests that the Random Field Ising Model loses Parisi-Sourlas SUSY and the dimensional reduction property somewhere between 4 and 5 dimensions, while a related model of branched polymers retains these features in any $d$. These notes give a leisurely introduction to a recent theory, developed jointly with A. Kaviraj and E. Trevisani, which aims to explain these facts. Based on the lectures given in Cortona and at the IHES in 2022."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.09654","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2303.09654/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":"2303.09654","created_at":"2026-07-05T07:02:00.163910+00:00"},{"alias_kind":"arxiv_version","alias_value":"2303.09654v2","created_at":"2026-07-05T07:02:00.163910+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.09654","created_at":"2026-07-05T07:02:00.163910+00:00"},{"alias_kind":"pith_short_12","alias_value":"TBNTBJSWD2GB","created_at":"2026-07-05T07:02:00.163910+00:00"},{"alias_kind":"pith_short_16","alias_value":"TBNTBJSWD2GBZHTE","created_at":"2026-07-05T07:02:00.163910+00:00"},{"alias_kind":"pith_short_8","alias_value":"TBNTBJSW","created_at":"2026-07-05T07:02:00.163910+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.22628","citing_title":"Ising surface defects can get dirty","ref_index":24,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TBNTBJSWD2GBZHTEYDXGH74J65","json":"https://pith.science/pith/TBNTBJSWD2GBZHTEYDXGH74J65.json","graph_json":"https://pith.science/api/pith-number/TBNTBJSWD2GBZHTEYDXGH74J65/graph.json","events_json":"https://pith.science/api/pith-number/TBNTBJSWD2GBZHTEYDXGH74J65/events.json","paper":"https://pith.science/paper/TBNTBJSW"},"agent_actions":{"view_html":"https://pith.science/pith/TBNTBJSWD2GBZHTEYDXGH74J65","download_json":"https://pith.science/pith/TBNTBJSWD2GBZHTEYDXGH74J65.json","view_paper":"https://pith.science/paper/TBNTBJSW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2303.09654&json=true","fetch_graph":"https://pith.science/api/pith-number/TBNTBJSWD2GBZHTEYDXGH74J65/graph.json","fetch_events":"https://pith.science/api/pith-number/TBNTBJSWD2GBZHTEYDXGH74J65/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TBNTBJSWD2GBZHTEYDXGH74J65/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TBNTBJSWD2GBZHTEYDXGH74J65/action/storage_attestation","attest_author":"https://pith.science/pith/TBNTBJSWD2GBZHTEYDXGH74J65/action/author_attestation","sign_citation":"https://pith.science/pith/TBNTBJSWD2GBZHTEYDXGH74J65/action/citation_signature","submit_replication":"https://pith.science/pith/TBNTBJSWD2GBZHTEYDXGH74J65/action/replication_record"}},"created_at":"2026-07-05T07:02:00.163910+00:00","updated_at":"2026-07-05T07:02:00.163910+00:00"}