{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:6KXCVWI6F2RKR7F5DGCOQGCTRL","short_pith_number":"pith:6KXCVWI6","schema_version":"1.0","canonical_sha256":"f2ae2ad91e2ea2a8fcbd1984e818538ac21fa2f729d7205448fd57b9fba56aef","source":{"kind":"arxiv","id":"1012.2125","version":1},"attestation_state":"computed","paper":{"title":"Computational challenges of tumor spheroid modeling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.TO","authors_text":"Alessio Del Fabbro, Edoardo Milotti, Marcello Farina, Roberto Chignola","submitted_at":"2010-12-09T21:12:49Z","abstract_excerpt":"The speed and the versatility of today's computers open up new opportunities to simulate complex biological systems. Here we review a computational approach recently proposed by us to model large tumor cell populations and spheroids, and we put forward general considerations that apply to any fine-grained numerical model of tumors. We discuss ways to bypass computational limitations and discuss our incremental approach, where each step is validated by experimental observations on a quantitative basis. We present a few results on the growth of tumor cells in closed and open environments and of "},"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":"1012.2125","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.TO","submitted_at":"2010-12-09T21:12:49Z","cross_cats_sorted":[],"title_canon_sha256":"8888826bc2c2abc61efff3a77906106f5b27df5a07534176324776b7192d31c1","abstract_canon_sha256":"e37d6ea92fab16e45553a0b3fda04e1a78a9b0281d6e85ea331b086b02849e21"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:33:38.480278Z","signature_b64":"lycYFMDOMGAvSu+GBq4pvYjpUum0ZWNLb4UXBRzXalOQVnB4FKeNYF23lf289QZ3iAcrVrX59b4wGwzEaJJKBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f2ae2ad91e2ea2a8fcbd1984e818538ac21fa2f729d7205448fd57b9fba56aef","last_reissued_at":"2026-05-18T04:33:38.479713Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:33:38.479713Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Computational challenges of tumor spheroid modeling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.TO","authors_text":"Alessio Del Fabbro, Edoardo Milotti, Marcello Farina, Roberto Chignola","submitted_at":"2010-12-09T21:12:49Z","abstract_excerpt":"The speed and the versatility of today's computers open up new opportunities to simulate complex biological systems. Here we review a computational approach recently proposed by us to model large tumor cell populations and spheroids, and we put forward general considerations that apply to any fine-grained numerical model of tumors. We discuss ways to bypass computational limitations and discuss our incremental approach, where each step is validated by experimental observations on a quantitative basis. We present a few results on the growth of tumor cells in closed and open environments and of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.2125","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":"1012.2125","created_at":"2026-05-18T04:33:38.479808+00:00"},{"alias_kind":"arxiv_version","alias_value":"1012.2125v1","created_at":"2026-05-18T04:33:38.479808+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.2125","created_at":"2026-05-18T04:33:38.479808+00:00"},{"alias_kind":"pith_short_12","alias_value":"6KXCVWI6F2RK","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_16","alias_value":"6KXCVWI6F2RKR7F5","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_8","alias_value":"6KXCVWI6","created_at":"2026-05-18T12:26:04.259169+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/6KXCVWI6F2RKR7F5DGCOQGCTRL","json":"https://pith.science/pith/6KXCVWI6F2RKR7F5DGCOQGCTRL.json","graph_json":"https://pith.science/api/pith-number/6KXCVWI6F2RKR7F5DGCOQGCTRL/graph.json","events_json":"https://pith.science/api/pith-number/6KXCVWI6F2RKR7F5DGCOQGCTRL/events.json","paper":"https://pith.science/paper/6KXCVWI6"},"agent_actions":{"view_html":"https://pith.science/pith/6KXCVWI6F2RKR7F5DGCOQGCTRL","download_json":"https://pith.science/pith/6KXCVWI6F2RKR7F5DGCOQGCTRL.json","view_paper":"https://pith.science/paper/6KXCVWI6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1012.2125&json=true","fetch_graph":"https://pith.science/api/pith-number/6KXCVWI6F2RKR7F5DGCOQGCTRL/graph.json","fetch_events":"https://pith.science/api/pith-number/6KXCVWI6F2RKR7F5DGCOQGCTRL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6KXCVWI6F2RKR7F5DGCOQGCTRL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6KXCVWI6F2RKR7F5DGCOQGCTRL/action/storage_attestation","attest_author":"https://pith.science/pith/6KXCVWI6F2RKR7F5DGCOQGCTRL/action/author_attestation","sign_citation":"https://pith.science/pith/6KXCVWI6F2RKR7F5DGCOQGCTRL/action/citation_signature","submit_replication":"https://pith.science/pith/6KXCVWI6F2RKR7F5DGCOQGCTRL/action/replication_record"}},"created_at":"2026-05-18T04:33:38.479808+00:00","updated_at":"2026-05-18T04:33:38.479808+00:00"}