{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:VRUCK7IGGY5GYFSBVZNZDJD73D","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":"a0d702342813f9c00f74037165118004105b2a049e181a02db7e73fb50552635","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2013-03-11T11:08:10Z","title_canon_sha256":"89a1d748f6f846ed2da4f396c79a6d0b2a90084e71536d1b279921d66ebff3df"},"schema_version":"1.0","source":{"id":"1303.2483","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.2483","created_at":"2026-05-18T03:25:26Z"},{"alias_kind":"arxiv_version","alias_value":"1303.2483v2","created_at":"2026-05-18T03:25:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2483","created_at":"2026-05-18T03:25:26Z"},{"alias_kind":"pith_short_12","alias_value":"VRUCK7IGGY5G","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VRUCK7IGGY5GYFSB","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VRUCK7IG","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:3b891d726a36b666bb2b4c3dedad26e55d36ce3628ea9a505b55cfcea72d585f","target":"graph","created_at":"2026-05-18T03:25:26Z","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":"We consider the stochastic dynamics near zero-temperature of the random ferromagnetic Ising model on a Cayley tree of branching ratio $K$. We apply the Boundary Real Space Renormalization procedure introduced in our previous work (C. Monthus and T. Garel, J. Stat. Mech. P02037 (2013)) in order to derive the renormalization rule for dynamical barriers. We obtain that the probability distribution $P_n(B)$ of dynamical barrier for a subtree of $n$ generations converges for large $n$ towards some traveling-wave $P_n(B) \\simeq P^*(B-nv) $, i.e. the width of the probability distribution remains fini","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":"2013-03-11T11:08:10Z","title":"Dynamical barriers for the random ferromagnetic Ising model on the Cayley tree : traveling-wave solution of the real space renormalization flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2483","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":"sha256:047838800cfd8910418c5299c0693529e8c7ca6dce0477de74277b69cafa22b3","target":"record","created_at":"2026-05-18T03:25:26Z","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":"a0d702342813f9c00f74037165118004105b2a049e181a02db7e73fb50552635","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2013-03-11T11:08:10Z","title_canon_sha256":"89a1d748f6f846ed2da4f396c79a6d0b2a90084e71536d1b279921d66ebff3df"},"schema_version":"1.0","source":{"id":"1303.2483","kind":"arxiv","version":2}},"canonical_sha256":"ac68257d06363a6c1641ae5b91a47fd8d9953d36f79fa680f05bb59d06890f46","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac68257d06363a6c1641ae5b91a47fd8d9953d36f79fa680f05bb59d06890f46","first_computed_at":"2026-05-18T03:25:26.983407Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:26.983407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+1JUzrGOprIUM7h7WT7uVbrY4F6YRhGZ277CFDOYclgPRBZURhtwtyXbcdQxf7Z6jZf+yxmG4H0jEoxVw8NLDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:26.984037Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.2483","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:047838800cfd8910418c5299c0693529e8c7ca6dce0477de74277b69cafa22b3","sha256:3b891d726a36b666bb2b4c3dedad26e55d36ce3628ea9a505b55cfcea72d585f"],"state_sha256":"5d0486d62ba076885dced133a2ac10765bba5a0c8e0a255fac765cbfe19d65b6"}