{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:AZGLDXJPTCQBAB6KQUMCGJQGTF","short_pith_number":"pith:AZGLDXJP","schema_version":"1.0","canonical_sha256":"064cb1dd2f98a01007ca85182326069963609c21a09c7d4d9dae94cad3df0a49","source":{"kind":"arxiv","id":"1512.05280","version":1},"attestation_state":"computed","paper":{"title":"Width and extremal height distributions of fluctuating interfaces with window boundary conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"I. S. S. Carrasco, T. J. Oliveira","submitted_at":"2015-12-16T18:55:36Z","abstract_excerpt":"We present a detailed study of squared local roughness (SLRDs) and local extremal height distributions (LEHDs), calculated in windows of lateral size $l$, for interfaces in several universality classes, in substrate dimensions $d_s = 1$ and $d_s = 2$. We show that their cumulants follow a Family-Vicsek type scaling, and, at early times, when $\\xi \\ll l$ ($\\xi$ is the correlation length), the rescaled SLRDs are given by log-normal distributions, with their $n$th cumulant scaling as $(\\xi/l)^{(n-1)d_s}$. This give rise to an interesting temporal scaling for such cumulants $\\left\\langle w_n \\righ"},"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":"1512.05280","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-12-16T18:55:36Z","cross_cats_sorted":[],"title_canon_sha256":"83c2d7d22d6a5619693c2d305b9038f38da5dc91c6af3019f76e3aa3211a7957","abstract_canon_sha256":"1b291e2fd3e01a86505eaecfca6a3d753bb86492ae5a64e445edeb21b371cf61"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:44.326125Z","signature_b64":"tiwgqBFc+UB7GqkGiTS9tFpYH4YdVv67SMz0Zp4AeutiQr7cHWlxY+SDXQjsy7C/WYWtVJ3mSMiwZ3ibli3NAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"064cb1dd2f98a01007ca85182326069963609c21a09c7d4d9dae94cad3df0a49","last_reissued_at":"2026-05-18T01:21:44.325505Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:44.325505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Width and extremal height distributions of fluctuating interfaces with window boundary conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"I. S. S. Carrasco, T. J. Oliveira","submitted_at":"2015-12-16T18:55:36Z","abstract_excerpt":"We present a detailed study of squared local roughness (SLRDs) and local extremal height distributions (LEHDs), calculated in windows of lateral size $l$, for interfaces in several universality classes, in substrate dimensions $d_s = 1$ and $d_s = 2$. We show that their cumulants follow a Family-Vicsek type scaling, and, at early times, when $\\xi \\ll l$ ($\\xi$ is the correlation length), the rescaled SLRDs are given by log-normal distributions, with their $n$th cumulant scaling as $(\\xi/l)^{(n-1)d_s}$. This give rise to an interesting temporal scaling for such cumulants $\\left\\langle w_n \\righ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.05280","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":""},"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":"1512.05280","created_at":"2026-05-18T01:21:44.325595+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.05280v1","created_at":"2026-05-18T01:21:44.325595+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.05280","created_at":"2026-05-18T01:21:44.325595+00:00"},{"alias_kind":"pith_short_12","alias_value":"AZGLDXJPTCQB","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"AZGLDXJPTCQBAB6K","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"AZGLDXJP","created_at":"2026-05-18T12:29:14.074870+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AZGLDXJPTCQBAB6KQUMCGJQGTF","json":"https://pith.science/pith/AZGLDXJPTCQBAB6KQUMCGJQGTF.json","graph_json":"https://pith.science/api/pith-number/AZGLDXJPTCQBAB6KQUMCGJQGTF/graph.json","events_json":"https://pith.science/api/pith-number/AZGLDXJPTCQBAB6KQUMCGJQGTF/events.json","paper":"https://pith.science/paper/AZGLDXJP"},"agent_actions":{"view_html":"https://pith.science/pith/AZGLDXJPTCQBAB6KQUMCGJQGTF","download_json":"https://pith.science/pith/AZGLDXJPTCQBAB6KQUMCGJQGTF.json","view_paper":"https://pith.science/paper/AZGLDXJP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.05280&json=true","fetch_graph":"https://pith.science/api/pith-number/AZGLDXJPTCQBAB6KQUMCGJQGTF/graph.json","fetch_events":"https://pith.science/api/pith-number/AZGLDXJPTCQBAB6KQUMCGJQGTF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AZGLDXJPTCQBAB6KQUMCGJQGTF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AZGLDXJPTCQBAB6KQUMCGJQGTF/action/storage_attestation","attest_author":"https://pith.science/pith/AZGLDXJPTCQBAB6KQUMCGJQGTF/action/author_attestation","sign_citation":"https://pith.science/pith/AZGLDXJPTCQBAB6KQUMCGJQGTF/action/citation_signature","submit_replication":"https://pith.science/pith/AZGLDXJPTCQBAB6KQUMCGJQGTF/action/replication_record"}},"created_at":"2026-05-18T01:21:44.325595+00:00","updated_at":"2026-05-18T01:21:44.325595+00:00"}