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For the pure Ising model, we obtain the behavior $t_{eq}(L) \\sim L^{\\alpha} e^{\\beta 2J L^{d_s}} $ where $d_s=d_f-1$ is the interface dimension, and we compute the prefa"},"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":"1304.2134","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2013-04-08T08:37:50Z","cross_cats_sorted":[],"title_canon_sha256":"7a15c4a5479c04cf011a98530764436b5d97a17cd7b7a0fa85221588bfc3be2c","abstract_canon_sha256":"8475e30eb30e851aa28a6ff89fa254397c3963755d05f5b1644d055b1817da8e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:20:58.269173Z","signature_b64":"Af/136/AUbrh4CCVtKIIr0oBKttlJXq5ba80CZLF775loFgvcoPTuMsT2xPRN3F012mIShVaSY79IqhFBIUDAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cdf307e41f4b92fded816383109cf2200423aef6b611ea681162b29e576d90b7","last_reissued_at":"2026-05-18T03:20:58.268586Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:20:58.268586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamical barriers of pure and random ferromagnetic Ising models on fractal lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Cecile Monthus, Thomas Garel","submitted_at":"2013-04-08T08:37:50Z","abstract_excerpt":"We consider the stochastic dynamics of the pure and random ferromagnetic Ising model on the hierarchical diamond lattice of branching ratio $K$ with fractal dimension $d_f=(\\ln (2K))/\\ln 2$. 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