{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:A56NTEO3OO66E3G2WZHHYZ7J7S","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":"b156b4cc97506e42b36c4fd3e67ee0a8127115944eaa5c366ca6acdfd1cf61b3","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-05-02T23:53:11Z","title_canon_sha256":"be1201af4eacf7316aa68098bb5f5e673dda578e2662a2c3170a75019757730d"},"schema_version":"1.0","source":{"id":"1205.0583","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.0583","created_at":"2026-05-18T03:10:44Z"},{"alias_kind":"arxiv_version","alias_value":"1205.0583v1","created_at":"2026-05-18T03:10:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.0583","created_at":"2026-05-18T03:10:44Z"},{"alias_kind":"pith_short_12","alias_value":"A56NTEO3OO66","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"A56NTEO3OO66E3G2","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"A56NTEO3","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:28716ababf1a565808ad4f9c2a66de888a3e2c91f8e08404aa7bd8cca7016bda","target":"graph","created_at":"2026-05-18T03:10:44Z","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":"Motivated by the question of how to pattern a surface in order to best speed nucleation from solution, we build on the work of Page and Sear [Phys. Rev. Lett. 97, 65701 (2006)] and calculate rates and free energy profiles for nucleation in the 3d Ising model in the presence of cuboidal pores. Pores of well-chosen aspect ratio can dramatically speed nucleation relative to a planar surface made of the same material, while badly-chosen pores provide no such enhancement. For a given pore, the maximum nucleation rate is achieved when one of its two horizontal dimensions attains a critical length, l","authors_text":"Lester O. Hedges, Stephen Whitelam","cross_cats":["cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-05-02T23:53:11Z","title":"Patterning a surface so as to speed nucleation from solution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.0583","kind":"arxiv","version":1},"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:fbfad585c32f09fb8288e1ac3764371b25cf24135a689d9c3992b6d60cb61d0f","target":"record","created_at":"2026-05-18T03:10:44Z","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":"b156b4cc97506e42b36c4fd3e67ee0a8127115944eaa5c366ca6acdfd1cf61b3","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-05-02T23:53:11Z","title_canon_sha256":"be1201af4eacf7316aa68098bb5f5e673dda578e2662a2c3170a75019757730d"},"schema_version":"1.0","source":{"id":"1205.0583","kind":"arxiv","version":1}},"canonical_sha256":"077cd991db73bde26cdab64e7c67e9fcad22ce86627741300eeef27be11b1d39","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"077cd991db73bde26cdab64e7c67e9fcad22ce86627741300eeef27be11b1d39","first_computed_at":"2026-05-18T03:10:44.744372Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:44.744372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"byFMythUxYAigBU6Ws+EOQPaTc0nyp1IEhQq7nFV9HjUd4S5FfVLPUe0vqnsERwy48+oZCHh1GlAix+2BzwzAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:44.745005Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.0583","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fbfad585c32f09fb8288e1ac3764371b25cf24135a689d9c3992b6d60cb61d0f","sha256:28716ababf1a565808ad4f9c2a66de888a3e2c91f8e08404aa7bd8cca7016bda"],"state_sha256":"c1414a687b617f1fad8d3b2b51c584eb4a2de3f90b6799ee9b95b40e950e2382"}