{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:6CP2Q6BKL3NNVDFZRWRRJORKDN","short_pith_number":"pith:6CP2Q6BK","schema_version":"1.0","canonical_sha256":"f09fa8782a5edada8cb98da314ba2a1b5d9e9a560b3a74f54e87592668aa2212","source":{"kind":"arxiv","id":"cond-mat/0109472","version":2},"attestation_state":"computed","paper":{"title":"A reaction-diffusion model for the growth of avascular tumor","license":"","headline":"","cross_cats":["q-bio.TO"],"primary_cat":"cond-mat.stat-mech","authors_text":"M. J. Vilela, M. L. Martins, S. C. Ferreira Junior","submitted_at":"2001-09-25T21:05:15Z","abstract_excerpt":"A nutrient-limited model for avascular cancer growth including cell proliferation, motility and death is presented. The model qualitatively reproduces commonly observed morphologies for primary tumors, and the simulated patterns are characterized by its gyration radius, total number of cancer cells, and number of cells on tumor periphery. These very distinct morphological patterns follow Gompertz growth curves, but exhibit different scaling laws for their surfaces. Also, the simulated tumors incorporate a spatial structure composed of a central necrotic core, an inner rim of quiescent cells an"},"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":"cond-mat/0109472","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-09-25T21:05:15Z","cross_cats_sorted":["q-bio.TO"],"title_canon_sha256":"e94d8dafbae22718caf4bd2df488f6a1b77dc5bcd39930ed290bb49bdfca6830","abstract_canon_sha256":"98705e1bcc998f5708d437b2ede424086824861399b3208276f181dbc8db9e4c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:27:15.495293Z","signature_b64":"ohmPYhC6EjfY3npdP44+M8JJfc/5NzvIYkKA4vgHZNyG3bQdmW69GWQZm/laEk0jnjbKzCw3USItRnx26lgTDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f09fa8782a5edada8cb98da314ba2a1b5d9e9a560b3a74f54e87592668aa2212","last_reissued_at":"2026-05-18T04:27:15.494836Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:27:15.494836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A reaction-diffusion model for the growth of avascular tumor","license":"","headline":"","cross_cats":["q-bio.TO"],"primary_cat":"cond-mat.stat-mech","authors_text":"M. J. Vilela, M. L. Martins, S. C. Ferreira Junior","submitted_at":"2001-09-25T21:05:15Z","abstract_excerpt":"A nutrient-limited model for avascular cancer growth including cell proliferation, motility and death is presented. The model qualitatively reproduces commonly observed morphologies for primary tumors, and the simulated patterns are characterized by its gyration radius, total number of cancer cells, and number of cells on tumor periphery. These very distinct morphological patterns follow Gompertz growth curves, but exhibit different scaling laws for their surfaces. Also, the simulated tumors incorporate a spatial structure composed of a central necrotic core, an inner rim of quiescent cells an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0109472","kind":"arxiv","version":2},"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":"cond-mat/0109472","created_at":"2026-05-18T04:27:15.494899+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0109472v2","created_at":"2026-05-18T04:27:15.494899+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0109472","created_at":"2026-05-18T04:27:15.494899+00:00"},{"alias_kind":"pith_short_12","alias_value":"6CP2Q6BKL3NN","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_16","alias_value":"6CP2Q6BKL3NNVDFZ","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_8","alias_value":"6CP2Q6BK","created_at":"2026-05-18T12:25:50.254431+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/6CP2Q6BKL3NNVDFZRWRRJORKDN","json":"https://pith.science/pith/6CP2Q6BKL3NNVDFZRWRRJORKDN.json","graph_json":"https://pith.science/api/pith-number/6CP2Q6BKL3NNVDFZRWRRJORKDN/graph.json","events_json":"https://pith.science/api/pith-number/6CP2Q6BKL3NNVDFZRWRRJORKDN/events.json","paper":"https://pith.science/paper/6CP2Q6BK"},"agent_actions":{"view_html":"https://pith.science/pith/6CP2Q6BKL3NNVDFZRWRRJORKDN","download_json":"https://pith.science/pith/6CP2Q6BKL3NNVDFZRWRRJORKDN.json","view_paper":"https://pith.science/paper/6CP2Q6BK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0109472&json=true","fetch_graph":"https://pith.science/api/pith-number/6CP2Q6BKL3NNVDFZRWRRJORKDN/graph.json","fetch_events":"https://pith.science/api/pith-number/6CP2Q6BKL3NNVDFZRWRRJORKDN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6CP2Q6BKL3NNVDFZRWRRJORKDN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6CP2Q6BKL3NNVDFZRWRRJORKDN/action/storage_attestation","attest_author":"https://pith.science/pith/6CP2Q6BKL3NNVDFZRWRRJORKDN/action/author_attestation","sign_citation":"https://pith.science/pith/6CP2Q6BKL3NNVDFZRWRRJORKDN/action/citation_signature","submit_replication":"https://pith.science/pith/6CP2Q6BKL3NNVDFZRWRRJORKDN/action/replication_record"}},"created_at":"2026-05-18T04:27:15.494899+00:00","updated_at":"2026-05-18T04:27:15.494899+00:00"}