{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:R4RHPY3A4NWJIXJEGEXFRVPNGE","short_pith_number":"pith:R4RHPY3A","schema_version":"1.0","canonical_sha256":"8f2277e360e36c945d24312e58d5ed3137199e87eaa481ceea6e3b51375b55ae","source":{"kind":"arxiv","id":"1805.07485","version":1},"attestation_state":"computed","paper":{"title":"A level-set approach for a multi-scale cancer invasion model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Ana Victoria Ponce Bobadilla, Dumitru Trucu, Sven E. Wetterauer, Thomas Carraro","submitted_at":"2018-05-19T00:40:58Z","abstract_excerpt":"Central to the quest for a deeper understanding of the cancer growth and spread process, the naturally multiscale character of cancer invasion demands appropriate multiscale modelling and analysis approach. The cross-talk between the tissue scale (macro-scale) cancer cell population dynamics and the cell-scale (micro-scale) proteolytic molecular processes along the tumour boundary plays a particularly important role within the invasion processes, leading to dramatic changes in tumour morphology and influencing the overall pattern of cancer spread.\n  Building on the multiscale moving boundary f"},"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":"1805.07485","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-05-19T00:40:58Z","cross_cats_sorted":[],"title_canon_sha256":"2e2b4ac4be478c5d6503c398eb88f2c9757ca4fd2fa2d2d70b122c744db75aaf","abstract_canon_sha256":"298e15a1bdcf16749f6c974589e8cada4102d919c7374e3a46c64dd6650beb7b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:33.474965Z","signature_b64":"6CiZ4SvGro0yzcXI7Hb4ntsb8LaMxp/x5GiPkzzSa3/HA/ZaDOZeaGuVh8p/BzMm7RGuCE+nuEfEZ9sQUqbQBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f2277e360e36c945d24312e58d5ed3137199e87eaa481ceea6e3b51375b55ae","last_reissued_at":"2026-05-18T00:15:33.474418Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:33.474418Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A level-set approach for a multi-scale cancer invasion model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Ana Victoria Ponce Bobadilla, Dumitru Trucu, Sven E. Wetterauer, Thomas Carraro","submitted_at":"2018-05-19T00:40:58Z","abstract_excerpt":"Central to the quest for a deeper understanding of the cancer growth and spread process, the naturally multiscale character of cancer invasion demands appropriate multiscale modelling and analysis approach. The cross-talk between the tissue scale (macro-scale) cancer cell population dynamics and the cell-scale (micro-scale) proteolytic molecular processes along the tumour boundary plays a particularly important role within the invasion processes, leading to dramatic changes in tumour morphology and influencing the overall pattern of cancer spread.\n  Building on the multiscale moving boundary f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.07485","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":"1805.07485","created_at":"2026-05-18T00:15:33.474517+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.07485v1","created_at":"2026-05-18T00:15:33.474517+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.07485","created_at":"2026-05-18T00:15:33.474517+00:00"},{"alias_kind":"pith_short_12","alias_value":"R4RHPY3A4NWJ","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_16","alias_value":"R4RHPY3A4NWJIXJE","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_8","alias_value":"R4RHPY3A","created_at":"2026-05-18T12:32:50.500415+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/R4RHPY3A4NWJIXJEGEXFRVPNGE","json":"https://pith.science/pith/R4RHPY3A4NWJIXJEGEXFRVPNGE.json","graph_json":"https://pith.science/api/pith-number/R4RHPY3A4NWJIXJEGEXFRVPNGE/graph.json","events_json":"https://pith.science/api/pith-number/R4RHPY3A4NWJIXJEGEXFRVPNGE/events.json","paper":"https://pith.science/paper/R4RHPY3A"},"agent_actions":{"view_html":"https://pith.science/pith/R4RHPY3A4NWJIXJEGEXFRVPNGE","download_json":"https://pith.science/pith/R4RHPY3A4NWJIXJEGEXFRVPNGE.json","view_paper":"https://pith.science/paper/R4RHPY3A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.07485&json=true","fetch_graph":"https://pith.science/api/pith-number/R4RHPY3A4NWJIXJEGEXFRVPNGE/graph.json","fetch_events":"https://pith.science/api/pith-number/R4RHPY3A4NWJIXJEGEXFRVPNGE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R4RHPY3A4NWJIXJEGEXFRVPNGE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R4RHPY3A4NWJIXJEGEXFRVPNGE/action/storage_attestation","attest_author":"https://pith.science/pith/R4RHPY3A4NWJIXJEGEXFRVPNGE/action/author_attestation","sign_citation":"https://pith.science/pith/R4RHPY3A4NWJIXJEGEXFRVPNGE/action/citation_signature","submit_replication":"https://pith.science/pith/R4RHPY3A4NWJIXJEGEXFRVPNGE/action/replication_record"}},"created_at":"2026-05-18T00:15:33.474517+00:00","updated_at":"2026-05-18T00:15:33.474517+00:00"}