{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:5KYKWRREQ4SZEOCI4GW3SUIVIL","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8e632939fa65483c4acf9070fa1dc0714693b4d69255f7758efd0ab73c96b22f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-11-15T09:38:07Z","title_canon_sha256":"9ab18101eddadadbf128ed8283dacf0a3e23afb9b5362e397845dc6c56fffde4"},"schema_version":"1.0","source":{"id":"1111.3468","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.3468","created_at":"2026-05-18T04:04:29Z"},{"alias_kind":"arxiv_version","alias_value":"1111.3468v2","created_at":"2026-05-18T04:04:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3468","created_at":"2026-05-18T04:04:29Z"},{"alias_kind":"pith_short_12","alias_value":"5KYKWRREQ4SZ","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5KYKWRREQ4SZEOCI","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5KYKWRRE","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:3360236e08e1237d31882c421a4ca77b41354beca6f55174ff3a06dfa5fa7b7f","target":"graph","created_at":"2026-05-18T04:04:29Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The 'Cavity-Mean-Field' approximation developed for the Random Transverse Field Ising Model on the Cayley tree [L. Ioffe and M. M\\'ezard, PRL 105, 037001 (2010)] has been found to reproduce the known exact result for the surface magnetization in $d=1$ [O. Dimitrova and M. M\\'ezard, J. Stat. Mech. (2011) P01020]. In the present paper, we propose to extend these ideas in finite dimensions $d>1$ via a non-linear transfer approach for the surface magnetization. In the disordered phase, the linearization of the transfer equations correspond to the transfer matrix for a Directed Polymer in a random ","authors_text":"Cecile Monthus, Thomas Garel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-11-15T09:38:07Z","title":"Random Transverse Field Ising Model in dimension $d=2,3$ : Infinite Disorder scaling via a non-linear transfer approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3468","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:fd5841490a05363244067dfed6a6ebb78d5e157bddc71fe0b42ea50e7046596a","target":"record","created_at":"2026-05-18T04:04:29Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8e632939fa65483c4acf9070fa1dc0714693b4d69255f7758efd0ab73c96b22f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-11-15T09:38:07Z","title_canon_sha256":"9ab18101eddadadbf128ed8283dacf0a3e23afb9b5362e397845dc6c56fffde4"},"schema_version":"1.0","source":{"id":"1111.3468","kind":"arxiv","version":2}},"canonical_sha256":"eab0ab46248725923848e1adb9511542e956cd14076ef2eee4d8bd65300ca1f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eab0ab46248725923848e1adb9511542e956cd14076ef2eee4d8bd65300ca1f6","first_computed_at":"2026-05-18T04:04:29.651963Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:04:29.651963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7z1bSrKLzsu4/n1cPF4qid1M1bowDpF+LRmgbjLGXz4cw1wFxmrwh/vOC9XxRuFgOPuVmhDhYSNbNam7jaZrCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:04:29.652697Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.3468","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd5841490a05363244067dfed6a6ebb78d5e157bddc71fe0b42ea50e7046596a","sha256:3360236e08e1237d31882c421a4ca77b41354beca6f55174ff3a06dfa5fa7b7f"],"state_sha256":"4e0f76df56068cb2c08fe8388d49c7eda334e0e9d0034ae1ece34e90970dbbd1"}