{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:N6CIGWPLXUCFJZ32LGFHPOT7UE","short_pith_number":"pith:N6CIGWPL","schema_version":"1.0","canonical_sha256":"6f848359ebbd0454e77a598a77ba7fa11d93d51fe6ed32a5d351df69cfa142a7","source":{"kind":"arxiv","id":"1603.02612","version":1},"attestation_state":"computed","paper":{"title":"Phase nucleation in curved space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Daniel A. Vega, Jose Lorenzana, Leopoldo R. Gomez, Nicolas A. Garcia, Vincenzo Vitelli","submitted_at":"2016-03-08T18:12:13Z","abstract_excerpt":"Nucleation and growth is the dominant relaxation mechanism driving first order phase transitions. In two-dimensional at systems nucleation has been applied to a wide range of problems in physics, chemistry and biology. Here we study nucleation and growth of two-dimensional phases lying on curved surfaces and show that curvature modify both, critical sizes of nuclei and paths towards the equilibrium phase. In curved space nucleation and growth becomes inherently inhomogeneous and critical nuclei form faster on regions of positive Gaussian curvature. Substrates of varying shape display complex e"},"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":"1603.02612","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-03-08T18:12:13Z","cross_cats_sorted":[],"title_canon_sha256":"e5a7044e93bd35a8e66fa4f1b91947abb10b8e32e8d9badf8256593168e65d42","abstract_canon_sha256":"942d7e5746f034ec4b6c7d43cdbc9972df2254d33124f66c9b73a98a014629da"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:22.790183Z","signature_b64":"7vaXhqqw/D/7TKqAnERKikayR/iwH4BaRbhr1E176V7zLq6fswDzt9yHrSpLhQ/0Nwl9N5qApYsyQFCQ5bL9DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6f848359ebbd0454e77a598a77ba7fa11d93d51fe6ed32a5d351df69cfa142a7","last_reissued_at":"2026-05-18T01:19:22.789543Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:22.789543Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Phase nucleation in curved space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Daniel A. Vega, Jose Lorenzana, Leopoldo R. Gomez, Nicolas A. Garcia, Vincenzo Vitelli","submitted_at":"2016-03-08T18:12:13Z","abstract_excerpt":"Nucleation and growth is the dominant relaxation mechanism driving first order phase transitions. In two-dimensional at systems nucleation has been applied to a wide range of problems in physics, chemistry and biology. Here we study nucleation and growth of two-dimensional phases lying on curved surfaces and show that curvature modify both, critical sizes of nuclei and paths towards the equilibrium phase. In curved space nucleation and growth becomes inherently inhomogeneous and critical nuclei form faster on regions of positive Gaussian curvature. Substrates of varying shape display complex e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.02612","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":"1603.02612","created_at":"2026-05-18T01:19:22.789638+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.02612v1","created_at":"2026-05-18T01:19:22.789638+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.02612","created_at":"2026-05-18T01:19:22.789638+00:00"},{"alias_kind":"pith_short_12","alias_value":"N6CIGWPLXUCF","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_16","alias_value":"N6CIGWPLXUCFJZ32","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_8","alias_value":"N6CIGWPL","created_at":"2026-05-18T12:30:32.724797+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/N6CIGWPLXUCFJZ32LGFHPOT7UE","json":"https://pith.science/pith/N6CIGWPLXUCFJZ32LGFHPOT7UE.json","graph_json":"https://pith.science/api/pith-number/N6CIGWPLXUCFJZ32LGFHPOT7UE/graph.json","events_json":"https://pith.science/api/pith-number/N6CIGWPLXUCFJZ32LGFHPOT7UE/events.json","paper":"https://pith.science/paper/N6CIGWPL"},"agent_actions":{"view_html":"https://pith.science/pith/N6CIGWPLXUCFJZ32LGFHPOT7UE","download_json":"https://pith.science/pith/N6CIGWPLXUCFJZ32LGFHPOT7UE.json","view_paper":"https://pith.science/paper/N6CIGWPL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.02612&json=true","fetch_graph":"https://pith.science/api/pith-number/N6CIGWPLXUCFJZ32LGFHPOT7UE/graph.json","fetch_events":"https://pith.science/api/pith-number/N6CIGWPLXUCFJZ32LGFHPOT7UE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/N6CIGWPLXUCFJZ32LGFHPOT7UE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/N6CIGWPLXUCFJZ32LGFHPOT7UE/action/storage_attestation","attest_author":"https://pith.science/pith/N6CIGWPLXUCFJZ32LGFHPOT7UE/action/author_attestation","sign_citation":"https://pith.science/pith/N6CIGWPLXUCFJZ32LGFHPOT7UE/action/citation_signature","submit_replication":"https://pith.science/pith/N6CIGWPLXUCFJZ32LGFHPOT7UE/action/replication_record"}},"created_at":"2026-05-18T01:19:22.789638+00:00","updated_at":"2026-05-18T01:19:22.789638+00:00"}