{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:5NCHMV3PKLOXJCEDO7W3LTWH55","short_pith_number":"pith:5NCHMV3P","schema_version":"1.0","canonical_sha256":"eb4476576f52dd74888377edb5cec7ef566c78b7706ef82448441926d556a265","source":{"kind":"arxiv","id":"1910.03530","version":1},"attestation_state":"computed","paper":{"title":"Random-field Ising and $O(N)$ models: Theoretical description through the functional renormalization group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Gilles Tarjus, Matthieu Tissier","submitted_at":"2019-10-08T16:41:43Z","abstract_excerpt":"We review the theoretical description of the random field Ising and $O(N)$ models obtained from the functional renormalization group, either in its nonperturbative implementation or, in some limits, in perturbative implementations. The approach solves some of the questions concerning the critical behavior of random-field systems that have stayed pending for many years: What is the mechanism for the breakdown of dimensional reduction and the breaking of the underlying supersymmetry below $d=6$? Can one provide a theoretical computation of the critical exponents, including the exponent \\psi char"},"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":"1910.03530","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-10-08T16:41:43Z","cross_cats_sorted":[],"title_canon_sha256":"4e44adbeec7a579075481b698a19cb351e55b2c099922bcd30381a1f9608644e","abstract_canon_sha256":"ffbca9c205888a0cb1b170c24fa8a72da6ee962d5488512ab60d63cf7bd6f2c0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:56:35.299760Z","signature_b64":"r2SFVrzsUh2oWATZ6OtmvzxWhxu4KxLkflJtN3KFsKQOH/+jTGZzmNYdt7+4usUq4E/+Y//mPsbKF+1tBzQQDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb4476576f52dd74888377edb5cec7ef566c78b7706ef82448441926d556a265","last_reissued_at":"2026-07-05T00:56:35.299276Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:56:35.299276Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Random-field Ising and $O(N)$ models: Theoretical description through the functional renormalization group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Gilles Tarjus, Matthieu Tissier","submitted_at":"2019-10-08T16:41:43Z","abstract_excerpt":"We review the theoretical description of the random field Ising and $O(N)$ models obtained from the functional renormalization group, either in its nonperturbative implementation or, in some limits, in perturbative implementations. The approach solves some of the questions concerning the critical behavior of random-field systems that have stayed pending for many years: What is the mechanism for the breakdown of dimensional reduction and the breaking of the underlying supersymmetry below $d=6$? Can one provide a theoretical computation of the critical exponents, including the exponent \\psi char"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.03530","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/1910.03530/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":"1910.03530","created_at":"2026-07-05T00:56:35.299342+00:00"},{"alias_kind":"arxiv_version","alias_value":"1910.03530v1","created_at":"2026-07-05T00:56:35.299342+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.03530","created_at":"2026-07-05T00:56:35.299342+00:00"},{"alias_kind":"pith_short_12","alias_value":"5NCHMV3PKLOX","created_at":"2026-07-05T00:56:35.299342+00:00"},{"alias_kind":"pith_short_16","alias_value":"5NCHMV3PKLOXJCED","created_at":"2026-07-05T00:56:35.299342+00:00"},{"alias_kind":"pith_short_8","alias_value":"5NCHMV3P","created_at":"2026-07-05T00:56:35.299342+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":16,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5NCHMV3PKLOXJCEDO7W3LTWH55","json":"https://pith.science/pith/5NCHMV3PKLOXJCEDO7W3LTWH55.json","graph_json":"https://pith.science/api/pith-number/5NCHMV3PKLOXJCEDO7W3LTWH55/graph.json","events_json":"https://pith.science/api/pith-number/5NCHMV3PKLOXJCEDO7W3LTWH55/events.json","paper":"https://pith.science/paper/5NCHMV3P"},"agent_actions":{"view_html":"https://pith.science/pith/5NCHMV3PKLOXJCEDO7W3LTWH55","download_json":"https://pith.science/pith/5NCHMV3PKLOXJCEDO7W3LTWH55.json","view_paper":"https://pith.science/paper/5NCHMV3P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1910.03530&json=true","fetch_graph":"https://pith.science/api/pith-number/5NCHMV3PKLOXJCEDO7W3LTWH55/graph.json","fetch_events":"https://pith.science/api/pith-number/5NCHMV3PKLOXJCEDO7W3LTWH55/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5NCHMV3PKLOXJCEDO7W3LTWH55/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5NCHMV3PKLOXJCEDO7W3LTWH55/action/storage_attestation","attest_author":"https://pith.science/pith/5NCHMV3PKLOXJCEDO7W3LTWH55/action/author_attestation","sign_citation":"https://pith.science/pith/5NCHMV3PKLOXJCEDO7W3LTWH55/action/citation_signature","submit_replication":"https://pith.science/pith/5NCHMV3PKLOXJCEDO7W3LTWH55/action/replication_record"}},"created_at":"2026-07-05T00:56:35.299342+00:00","updated_at":"2026-07-05T00:56:35.299342+00:00"}