{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:GI7BVQ7PLRGLATUVZBCP7ADWI7","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":"63607da9c0bf5c47ca4794b10ff098bd1b7818933d0093933af090534013af34","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-23T21:23:49Z","title_canon_sha256":"9516c1c7dc41804f2e33986c752ad42bb8d584f9a0a16786fcfc1b5a8791fef3"},"schema_version":"1.0","source":{"id":"2606.25185","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.25185","created_at":"2026-06-25T00:18:20Z"},{"alias_kind":"arxiv_version","alias_value":"2606.25185v1","created_at":"2026-06-25T00:18:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.25185","created_at":"2026-06-25T00:18:20Z"},{"alias_kind":"pith_short_12","alias_value":"GI7BVQ7PLRGL","created_at":"2026-06-25T00:18:20Z"},{"alias_kind":"pith_short_16","alias_value":"GI7BVQ7PLRGLATUV","created_at":"2026-06-25T00:18:20Z"},{"alias_kind":"pith_short_8","alias_value":"GI7BVQ7P","created_at":"2026-06-25T00:18:20Z"}],"graph_snapshots":[{"event_id":"sha256:ae13cd8288d0c5a6b3b1088782bdeb790dbc3e10db29f74d6966e6e1e70f1973","target":"graph","created_at":"2026-06-25T00:18:20Z","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/2606.25185/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Accurately predicting the spatiotemporal evolution of amyloid-$\\beta$ and tau proteins at the individual level is critical for improving the diagnosis and treatment of Alzheimer's disease. We consider the problem of constructing patient-specific digital twins that model the propagation of these biomarkers on the cortical surface using reaction--diffusion dynamics. A major challenge is that the underlying nonlinear aggregation mechanisms are unknown and must be inferred from sparse, noisy, and heterogeneous longitudinal PET imaging data. To address this, we develop a data-driven framework that ","authors_text":"Bin Li, Guorong Wu, Tingting Dan, Wenrui Hao, Xiaofeng Xu, Zifan Zhou","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-23T21:23:49Z","title":"Neural operator-based digital twins for modeling amyloid-$\\beta$ and tau propagation and treatment optimization in Alzheimer's disease"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.25185","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:b9c19bea822e6573959e1bb453e2e00221a53c96079b09a7a6746d4382dab625","target":"record","created_at":"2026-06-25T00:18:20Z","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":"63607da9c0bf5c47ca4794b10ff098bd1b7818933d0093933af090534013af34","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-23T21:23:49Z","title_canon_sha256":"9516c1c7dc41804f2e33986c752ad42bb8d584f9a0a16786fcfc1b5a8791fef3"},"schema_version":"1.0","source":{"id":"2606.25185","kind":"arxiv","version":1}},"canonical_sha256":"323e1ac3ef5c4cb04e95c844ff807647e7ce5726bee1a331229763cafe1d1b64","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"323e1ac3ef5c4cb04e95c844ff807647e7ce5726bee1a331229763cafe1d1b64","first_computed_at":"2026-06-25T00:18:20.289735Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-25T00:18:20.289735Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nIu9XjwQb3g1OSmfAtiRdu/eQ6JgNOGP6EDsb8Gm6a+BOXZhiwWPtePVDsZKIZEGwunQZTJ0KLo/NCpJfzv7Cw==","signature_status":"signed_v1","signed_at":"2026-06-25T00:18:20.290074Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.25185","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b9c19bea822e6573959e1bb453e2e00221a53c96079b09a7a6746d4382dab625","sha256:ae13cd8288d0c5a6b3b1088782bdeb790dbc3e10db29f74d6966e6e1e70f1973"],"state_sha256":"9791eaca66679d48a6435dfe0788c5f92c8c6128d664d2bf597f8b5bdaf63042"}