{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:5Z7UYOJJSLEXYCCDEUSXHFNVIL","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":"994e732d5e9da0b2575f487c47d10682e3da8adf838be4a5e3fcb415b513c48a","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-09-07T05:43:03Z","title_canon_sha256":"4bda27affb1b6d98d4bf7874f7bf6d8a3fb006d053d5006566479936c40c8125"},"schema_version":"1.0","source":{"id":"1509.01910","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.01910","created_at":"2026-05-18T01:21:47Z"},{"alias_kind":"arxiv_version","alias_value":"1509.01910v2","created_at":"2026-05-18T01:21:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.01910","created_at":"2026-05-18T01:21:47Z"},{"alias_kind":"pith_short_12","alias_value":"5Z7UYOJJSLEX","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"5Z7UYOJJSLEXYCCD","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"5Z7UYOJJ","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:38355df2c537166ad687575bd79312321313d5e5631c18e8ce3c3b0ff12b6259","target":"graph","created_at":"2026-05-18T01:21:47Z","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":"Hard-spin mean-field theory has recently been applied to Ising magnets, correctly yielding the absence and presence of an interface roughening transition respectively in $d=2$ and $d=3$ dimensions and producing the ordering-roughening phase diagram for isotropic and anisotropic systems. The approach has now been extended to the effects of quenched random pinning centers and missing bonds on the interface of isotropic and anisotropic Ising models in $d=3$. We find that these frozen impurities cause domain boundary roughening that exhibits consecutive thresholding transitions as a function inter","authors_text":"A. Nihat Berker, Tolga Caglar","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-09-07T05:43:03Z","title":"Successively Thresholded Domain Boundary Roughening Driven by Pinning Centers and Missing Bonds: Hard-Spin Mean-Field Theory Applied to d=3 Ising Magnets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.01910","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":"sha256:8bc26defcd4a94d51117e665be285578eabe2ef119ea6cceeb5f3b1ac2a7a6fd","target":"record","created_at":"2026-05-18T01:21:47Z","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":"994e732d5e9da0b2575f487c47d10682e3da8adf838be4a5e3fcb415b513c48a","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-09-07T05:43:03Z","title_canon_sha256":"4bda27affb1b6d98d4bf7874f7bf6d8a3fb006d053d5006566479936c40c8125"},"schema_version":"1.0","source":{"id":"1509.01910","kind":"arxiv","version":2}},"canonical_sha256":"ee7f4c392992c97c084325257395b542e0b845329f46abc9c826a984fc9cbeb2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ee7f4c392992c97c084325257395b542e0b845329f46abc9c826a984fc9cbeb2","first_computed_at":"2026-05-18T01:21:47.143690Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:47.143690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ttYctqXutJ9giBbql1retI7kUgSks6o8qJ17V+01OdvANJIjbCfY84u+EPKUmivVL8xL0LykUbQEu7Dli0TYDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:47.144277Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.01910","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8bc26defcd4a94d51117e665be285578eabe2ef119ea6cceeb5f3b1ac2a7a6fd","sha256:38355df2c537166ad687575bd79312321313d5e5631c18e8ce3c3b0ff12b6259"],"state_sha256":"ae7b04791bcfe1a96e31e1dcc26a73c863042a5b11921d76e5eccaf5f69edac5"}