{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:VG4ZQ3FPAISNQ2K6TZYFQ32QU4","short_pith_number":"pith:VG4ZQ3FP","schema_version":"1.0","canonical_sha256":"a9b9986caf0224d8695e9e70586f50a7262af6ce370a1aacd242e0d950b6f828","source":{"kind":"arxiv","id":"1708.03830","version":1},"attestation_state":"computed","paper":{"title":"On the mean field approximation of a stochastic model of tumor-induced angiogenesis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Franco Flandoli, Vincenzo Capasso","submitted_at":"2017-08-13T00:34:09Z","abstract_excerpt":"In the field of Life Sciences it it very common to deal with extremely complex systems, from both analytical and computational points of view, due to the unavoidable coupling of different interacting structures. As an example, angiogenesis has revealed to be an highly complex, and extremely interesting biomedical problem, due to the strong coupling between the kinetic parameters of the relevant branching - growth - anastomosis stochastic processes of the capillary network, at the microscale, and the family of interacting underlying biochemical fields, at the macroscale. In this paper an origin"},"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":"1708.03830","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-08-13T00:34:09Z","cross_cats_sorted":[],"title_canon_sha256":"711914e671bb53336ff4392e9ef322b31c62d65ea2f84a340ae7563ad99ad981","abstract_canon_sha256":"79536bb2665e5c359d0a87032175333bf288d4c35763893f65cbc8bb22ddd5d3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:07.774089Z","signature_b64":"ufPSD3pMMwLV6gbSp+6OXPh4c664ERq/ac2LfGbK6fcmQAPro7fjJ7QiN+Lv5pfqVZNwtyNFXcwLMG9VcQOJBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9b9986caf0224d8695e9e70586f50a7262af6ce370a1aacd242e0d950b6f828","last_reissued_at":"2026-05-18T00:38:07.773585Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:07.773585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the mean field approximation of a stochastic model of tumor-induced angiogenesis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Franco Flandoli, Vincenzo Capasso","submitted_at":"2017-08-13T00:34:09Z","abstract_excerpt":"In the field of Life Sciences it it very common to deal with extremely complex systems, from both analytical and computational points of view, due to the unavoidable coupling of different interacting structures. As an example, angiogenesis has revealed to be an highly complex, and extremely interesting biomedical problem, due to the strong coupling between the kinetic parameters of the relevant branching - growth - anastomosis stochastic processes of the capillary network, at the microscale, and the family of interacting underlying biochemical fields, at the macroscale. In this paper an origin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03830","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":"1708.03830","created_at":"2026-05-18T00:38:07.773657+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.03830v1","created_at":"2026-05-18T00:38:07.773657+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03830","created_at":"2026-05-18T00:38:07.773657+00:00"},{"alias_kind":"pith_short_12","alias_value":"VG4ZQ3FPAISN","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_16","alias_value":"VG4ZQ3FPAISNQ2K6","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_8","alias_value":"VG4ZQ3FP","created_at":"2026-05-18T12:31:49.984773+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/VG4ZQ3FPAISNQ2K6TZYFQ32QU4","json":"https://pith.science/pith/VG4ZQ3FPAISNQ2K6TZYFQ32QU4.json","graph_json":"https://pith.science/api/pith-number/VG4ZQ3FPAISNQ2K6TZYFQ32QU4/graph.json","events_json":"https://pith.science/api/pith-number/VG4ZQ3FPAISNQ2K6TZYFQ32QU4/events.json","paper":"https://pith.science/paper/VG4ZQ3FP"},"agent_actions":{"view_html":"https://pith.science/pith/VG4ZQ3FPAISNQ2K6TZYFQ32QU4","download_json":"https://pith.science/pith/VG4ZQ3FPAISNQ2K6TZYFQ32QU4.json","view_paper":"https://pith.science/paper/VG4ZQ3FP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.03830&json=true","fetch_graph":"https://pith.science/api/pith-number/VG4ZQ3FPAISNQ2K6TZYFQ32QU4/graph.json","fetch_events":"https://pith.science/api/pith-number/VG4ZQ3FPAISNQ2K6TZYFQ32QU4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VG4ZQ3FPAISNQ2K6TZYFQ32QU4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VG4ZQ3FPAISNQ2K6TZYFQ32QU4/action/storage_attestation","attest_author":"https://pith.science/pith/VG4ZQ3FPAISNQ2K6TZYFQ32QU4/action/author_attestation","sign_citation":"https://pith.science/pith/VG4ZQ3FPAISNQ2K6TZYFQ32QU4/action/citation_signature","submit_replication":"https://pith.science/pith/VG4ZQ3FPAISNQ2K6TZYFQ32QU4/action/replication_record"}},"created_at":"2026-05-18T00:38:07.773657+00:00","updated_at":"2026-05-18T00:38:07.773657+00:00"}