{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:NLCHEBCMCAKTJHUOO3FVHNL7GZ","short_pith_number":"pith:NLCHEBCM","canonical_record":{"source":{"id":"2407.21042","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.med-ph","submitted_at":"2024-07-21T20:38:22Z","cross_cats_sorted":["math.DS","q-bio.QM"],"title_canon_sha256":"9a61ed81ed0473f49164e8bc2710fee7f5c579ab153f0fa9ef51bfb4a4d8dde7","abstract_canon_sha256":"d69536ab85f428a0854ceb21c09af747bae73a3bf936c58c184c068ed7b3e822"},"schema_version":"1.0"},"canonical_sha256":"6ac472044c1015349e8e76cb53b57f3666d28cea7dfef25ff64b7d09d861687a","source":{"kind":"arxiv","id":"2407.21042","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.21042","created_at":"2026-07-05T08:50:32Z"},{"alias_kind":"arxiv_version","alias_value":"2407.21042v1","created_at":"2026-07-05T08:50:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.21042","created_at":"2026-07-05T08:50:32Z"},{"alias_kind":"pith_short_12","alias_value":"NLCHEBCMCAKT","created_at":"2026-07-05T08:50:32Z"},{"alias_kind":"pith_short_16","alias_value":"NLCHEBCMCAKTJHUO","created_at":"2026-07-05T08:50:32Z"},{"alias_kind":"pith_short_8","alias_value":"NLCHEBCM","created_at":"2026-07-05T08:50:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:NLCHEBCMCAKTJHUOO3FVHNL7GZ","target":"record","payload":{"canonical_record":{"source":{"id":"2407.21042","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.med-ph","submitted_at":"2024-07-21T20:38:22Z","cross_cats_sorted":["math.DS","q-bio.QM"],"title_canon_sha256":"9a61ed81ed0473f49164e8bc2710fee7f5c579ab153f0fa9ef51bfb4a4d8dde7","abstract_canon_sha256":"d69536ab85f428a0854ceb21c09af747bae73a3bf936c58c184c068ed7b3e822"},"schema_version":"1.0"},"canonical_sha256":"6ac472044c1015349e8e76cb53b57f3666d28cea7dfef25ff64b7d09d861687a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:50:32.659849Z","signature_b64":"2c+eFDIzA8YL2oemmCbXGMqAOXM+OLPD01234Q3DS5+bAQw7ZjWNMSZUxTL6ac9jYWTyNnDRdQEnqqjRd0SdAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ac472044c1015349e8e76cb53b57f3666d28cea7dfef25ff64b7d09d861687a","last_reissued_at":"2026-07-05T08:50:32.659414Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:50:32.659414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2407.21042","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:50:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"obTOZUAlWnk28SDxMdNclNTYRKPHS39juEdGHwDMkDrEKcAjFQ1MP2OkVsNQJ6B1EyusJWPPgtzK4gchxXIFBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T19:21:07.666672Z"},"content_sha256":"8ecbdaeb9b12a97fd80a37571e6c81f88b58c266192dd1ec643d79e8f169df84","schema_version":"1.0","event_id":"sha256:8ecbdaeb9b12a97fd80a37571e6c81f88b58c266192dd1ec643d79e8f169df84"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:NLCHEBCMCAKTJHUOO3FVHNL7GZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Post$-$operative glioblastoma cancer cell distribution in the peritumoural oedema","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","q-bio.QM"],"primary_cat":"physics.med-ph","authors_text":"Andrei Ciprian Macarie, Dumitru Trucu, J Douglas Steele, Kismet Hossain-Ibrahim, Mohamed Okasha, Szabolcs Suveges","submitted_at":"2024-07-21T20:38:22Z","abstract_excerpt":"Glioblastoma multiforme (GBM), the most aggressive primary brain tumour, exhibits low survival rates due to its rapid growth, infiltrates surrounding brain tissue, and is highly resistant to treatment. One major challenge is oedema infiltration, a fluid build$-$up that provides a path for cancer cells to invade other areas. MRI resolution is insufficient to detect these infiltrating cells, leading to relapses despite chemotherapy and radiotherapy. In this work, we propose a new multiscale mathematical modelling method, to explore the oedema infiltration and predict tumour relapses. To address "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.21042","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2407.21042/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:50:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QCpVyVpvBvb9kYrCqdgPDQEMCC+bdMJ3SeDDRorVM9MR1leZ44Z7F7MBCQ6ytDS4+8KatWuPD+/Ld10Og93ABw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T19:21:07.667386Z"},"content_sha256":"2ff890259dd8988bd757db9ce257043194263dae5327b2afc5750f40087f2b98","schema_version":"1.0","event_id":"sha256:2ff890259dd8988bd757db9ce257043194263dae5327b2afc5750f40087f2b98"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NLCHEBCMCAKTJHUOO3FVHNL7GZ/bundle.json","state_url":"https://pith.science/pith/NLCHEBCMCAKTJHUOO3FVHNL7GZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NLCHEBCMCAKTJHUOO3FVHNL7GZ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-31T19:21:07Z","links":{"resolver":"https://pith.science/pith/NLCHEBCMCAKTJHUOO3FVHNL7GZ","bundle":"https://pith.science/pith/NLCHEBCMCAKTJHUOO3FVHNL7GZ/bundle.json","state":"https://pith.science/pith/NLCHEBCMCAKTJHUOO3FVHNL7GZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NLCHEBCMCAKTJHUOO3FVHNL7GZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:NLCHEBCMCAKTJHUOO3FVHNL7GZ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"d69536ab85f428a0854ceb21c09af747bae73a3bf936c58c184c068ed7b3e822","cross_cats_sorted":["math.DS","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.med-ph","submitted_at":"2024-07-21T20:38:22Z","title_canon_sha256":"9a61ed81ed0473f49164e8bc2710fee7f5c579ab153f0fa9ef51bfb4a4d8dde7"},"schema_version":"1.0","source":{"id":"2407.21042","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.21042","created_at":"2026-07-05T08:50:32Z"},{"alias_kind":"arxiv_version","alias_value":"2407.21042v1","created_at":"2026-07-05T08:50:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.21042","created_at":"2026-07-05T08:50:32Z"},{"alias_kind":"pith_short_12","alias_value":"NLCHEBCMCAKT","created_at":"2026-07-05T08:50:32Z"},{"alias_kind":"pith_short_16","alias_value":"NLCHEBCMCAKTJHUO","created_at":"2026-07-05T08:50:32Z"},{"alias_kind":"pith_short_8","alias_value":"NLCHEBCM","created_at":"2026-07-05T08:50:32Z"}],"graph_snapshots":[{"event_id":"sha256:2ff890259dd8988bd757db9ce257043194263dae5327b2afc5750f40087f2b98","target":"graph","created_at":"2026-07-05T08:50:32Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2407.21042/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Glioblastoma multiforme (GBM), the most aggressive primary brain tumour, exhibits low survival rates due to its rapid growth, infiltrates surrounding brain tissue, and is highly resistant to treatment. One major challenge is oedema infiltration, a fluid build$-$up that provides a path for cancer cells to invade other areas. MRI resolution is insufficient to detect these infiltrating cells, leading to relapses despite chemotherapy and radiotherapy. In this work, we propose a new multiscale mathematical modelling method, to explore the oedema infiltration and predict tumour relapses. To address ","authors_text":"Andrei Ciprian Macarie, Dumitru Trucu, J Douglas Steele, Kismet Hossain-Ibrahim, Mohamed Okasha, Szabolcs Suveges","cross_cats":["math.DS","q-bio.QM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.med-ph","submitted_at":"2024-07-21T20:38:22Z","title":"Post$-$operative glioblastoma cancer cell distribution in the peritumoural oedema"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.21042","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8ecbdaeb9b12a97fd80a37571e6c81f88b58c266192dd1ec643d79e8f169df84","target":"record","created_at":"2026-07-05T08:50:32Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"d69536ab85f428a0854ceb21c09af747bae73a3bf936c58c184c068ed7b3e822","cross_cats_sorted":["math.DS","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.med-ph","submitted_at":"2024-07-21T20:38:22Z","title_canon_sha256":"9a61ed81ed0473f49164e8bc2710fee7f5c579ab153f0fa9ef51bfb4a4d8dde7"},"schema_version":"1.0","source":{"id":"2407.21042","kind":"arxiv","version":1}},"canonical_sha256":"6ac472044c1015349e8e76cb53b57f3666d28cea7dfef25ff64b7d09d861687a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ac472044c1015349e8e76cb53b57f3666d28cea7dfef25ff64b7d09d861687a","first_computed_at":"2026-07-05T08:50:32.659414Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:50:32.659414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2c+eFDIzA8YL2oemmCbXGMqAOXM+OLPD01234Q3DS5+bAQw7ZjWNMSZUxTL6ac9jYWTyNnDRdQEnqqjRd0SdAA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:50:32.659849Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.21042","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ecbdaeb9b12a97fd80a37571e6c81f88b58c266192dd1ec643d79e8f169df84","sha256:2ff890259dd8988bd757db9ce257043194263dae5327b2afc5750f40087f2b98"],"state_sha256":"2e5fd2d6a491bc1b20f60019e8e6e12bd142a416031ad3f2d4e77b1ed82a1443"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"21OT1DZHG4vfkAsv2FH+VKtYS8fIvDqjQvpt41kKLOzKraIhBpJ4/9iuCmGzmr4GMx2FIoBbt2mGEBZQQbH/AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-31T19:21:07.672065Z","bundle_sha256":"c11e6233ae34f98de534dafda0cd052b74636cafea61a492047049fe39bf2571"}}