{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:ZHWI23H57EADLZMLAKAOG4UKCM","short_pith_number":"pith:ZHWI23H5","schema_version":"1.0","canonical_sha256":"c9ec8d6cfdf90035e58b0280e3728a13295f26c659933a26f2af3d9748524aec","source":{"kind":"arxiv","id":"1706.02983","version":1},"attestation_state":"computed","paper":{"title":"Cell-size distribution and scaling in a one-dimensional KJMA lattice model with continuous nucleation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","physics.data-an"],"primary_cat":"cond-mat.soft","authors_text":"Ferenc J\\'arai-Szab\\'o, Szil\\'ard Boda, Zolt\\'an N\\'eda","submitted_at":"2017-06-09T14:52:19Z","abstract_excerpt":"The Kolmogrov-Johnson-Mehl-Avrami (KJMA) growth model is considered on a one-dimensional (1D) lattice. Cells can growth with constant speed and continuously nucleate on the empty sites. We offer an alternative, mean-field like approach for describing theoretically the dynamics and derive an analytical cell-size distribution function. Our method reproduces the same scaling laws as the KJMA theory and has the advantage that it leads to a simple closed form for the cell-size distribution function. It is shown that a Weibull distribution is appropriate for describing the final cell-size distributi"},"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":"1706.02983","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-06-09T14:52:19Z","cross_cats_sorted":["cond-mat.stat-mech","physics.data-an"],"title_canon_sha256":"1d940b73ff926495a039e63c5d2f355d8e3df94f8f2bc62c954e062030360e33","abstract_canon_sha256":"5db59415d9f567aed037d4f316d2c8baf2f3f5593de9429f35c72982f11a4ceb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:03.910872Z","signature_b64":"6O65pvRXpdVd2d5Pi205eBRT+xFLr8h1bM0Vm2RNrFg+qvCO8VL6MMGgzyFfTfwQfnkQgDwXjgb04RbKs/DnBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9ec8d6cfdf90035e58b0280e3728a13295f26c659933a26f2af3d9748524aec","last_reissued_at":"2026-05-18T00:30:03.910263Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:03.910263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cell-size distribution and scaling in a one-dimensional KJMA lattice model with continuous nucleation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","physics.data-an"],"primary_cat":"cond-mat.soft","authors_text":"Ferenc J\\'arai-Szab\\'o, Szil\\'ard Boda, Zolt\\'an N\\'eda","submitted_at":"2017-06-09T14:52:19Z","abstract_excerpt":"The Kolmogrov-Johnson-Mehl-Avrami (KJMA) growth model is considered on a one-dimensional (1D) lattice. Cells can growth with constant speed and continuously nucleate on the empty sites. We offer an alternative, mean-field like approach for describing theoretically the dynamics and derive an analytical cell-size distribution function. Our method reproduces the same scaling laws as the KJMA theory and has the advantage that it leads to a simple closed form for the cell-size distribution function. It is shown that a Weibull distribution is appropriate for describing the final cell-size distributi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.02983","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":"1706.02983","created_at":"2026-05-18T00:30:03.910357+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.02983v1","created_at":"2026-05-18T00:30:03.910357+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.02983","created_at":"2026-05-18T00:30:03.910357+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZHWI23H57EAD","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZHWI23H57EADLZML","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZHWI23H5","created_at":"2026-05-18T12:31:59.375834+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/ZHWI23H57EADLZMLAKAOG4UKCM","json":"https://pith.science/pith/ZHWI23H57EADLZMLAKAOG4UKCM.json","graph_json":"https://pith.science/api/pith-number/ZHWI23H57EADLZMLAKAOG4UKCM/graph.json","events_json":"https://pith.science/api/pith-number/ZHWI23H57EADLZMLAKAOG4UKCM/events.json","paper":"https://pith.science/paper/ZHWI23H5"},"agent_actions":{"view_html":"https://pith.science/pith/ZHWI23H57EADLZMLAKAOG4UKCM","download_json":"https://pith.science/pith/ZHWI23H57EADLZMLAKAOG4UKCM.json","view_paper":"https://pith.science/paper/ZHWI23H5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.02983&json=true","fetch_graph":"https://pith.science/api/pith-number/ZHWI23H57EADLZMLAKAOG4UKCM/graph.json","fetch_events":"https://pith.science/api/pith-number/ZHWI23H57EADLZMLAKAOG4UKCM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZHWI23H57EADLZMLAKAOG4UKCM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZHWI23H57EADLZMLAKAOG4UKCM/action/storage_attestation","attest_author":"https://pith.science/pith/ZHWI23H57EADLZMLAKAOG4UKCM/action/author_attestation","sign_citation":"https://pith.science/pith/ZHWI23H57EADLZMLAKAOG4UKCM/action/citation_signature","submit_replication":"https://pith.science/pith/ZHWI23H57EADLZMLAKAOG4UKCM/action/replication_record"}},"created_at":"2026-05-18T00:30:03.910357+00:00","updated_at":"2026-05-18T00:30:03.910357+00:00"}