{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:YPXZXR5DRRXSHGLNI7RWKDGYZI","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":"38c698ab06c660f11be68895f6098c2afa0233e42b97de4624c0d9ea7357bfc4","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-02-12T18:35:58Z","title_canon_sha256":"5e6d62e124eb55fbbe827235b0e240e8e3694dc591ce748a4d423315999d86fa"},"schema_version":"1.0","source":{"id":"cond-mat/0102212","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0102212","created_at":"2026-05-18T01:07:03Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0102212v2","created_at":"2026-05-18T01:07:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0102212","created_at":"2026-05-18T01:07:03Z"},{"alias_kind":"pith_short_12","alias_value":"YPXZXR5DRRXS","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"YPXZXR5DRRXSHGLN","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"YPXZXR5D","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:52a165ebe3ca155bb3368cc75f23bcc7ed7d6a883780251e0439407414b67ec8","target":"graph","created_at":"2026-05-18T01:07:03Z","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 irreversible second-layer nucleation that occurs when two adatoms on a terrace meet. We solve the problem analytically in one dimension for zero and infinite step-edge barriers, and numerically for any value of the barriers in one and two dimensions. For large barriers, the spatial distribution of nucleation events strongly differs from $\\rho^2$, where $\\rho$ is the stationary adatom density in the presence of a constant flux. The probability $Q(t)$ that nucleation occurs at time $t$ after the deposition of the second adatom, decays for short time as a power law [$Q(t)\\sim t^{-1/2}","authors_text":"Claudio Castellano, Paolo Politi","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-02-12T18:35:58Z","title":"Spatio-temporal distribution of nucleation events during crystal growth"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0102212","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":"sha256:72b04946d62cb5c280dd1f97a6d6f071d794f8a1e31f06143276b5369eceb825","target":"record","created_at":"2026-05-18T01:07:03Z","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":"38c698ab06c660f11be68895f6098c2afa0233e42b97de4624c0d9ea7357bfc4","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-02-12T18:35:58Z","title_canon_sha256":"5e6d62e124eb55fbbe827235b0e240e8e3694dc591ce748a4d423315999d86fa"},"schema_version":"1.0","source":{"id":"cond-mat/0102212","kind":"arxiv","version":2}},"canonical_sha256":"c3ef9bc7a38c6f23996d47e3650cd8ca2a40bfcd35da2b7cfa4e016fe8b90901","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3ef9bc7a38c6f23996d47e3650cd8ca2a40bfcd35da2b7cfa4e016fe8b90901","first_computed_at":"2026-05-18T01:07:03.474952Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:03.474952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VPFCTrrmkMvNQlSgZjGnD8jF91PX3MHkl+d+t/ihND+zWw9TTbYKx+RDbiya537W4aKg+cfyKEv+w/AUyuyyBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:03.475540Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0102212","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72b04946d62cb5c280dd1f97a6d6f071d794f8a1e31f06143276b5369eceb825","sha256:52a165ebe3ca155bb3368cc75f23bcc7ed7d6a883780251e0439407414b67ec8"],"state_sha256":"6341628275471e393d3670401c693655afaae3a475795061fa63644e26fa2084"}