{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:SIYSRGQEDXBJESETMFPF6XW3IU","short_pith_number":"pith:SIYSRGQE","canonical_record":{"source":{"id":"2412.13608","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-12-18T08:36:26Z","cross_cats_sorted":["math.PR","q-bio.QM","stat.AP","stat.ME"],"title_canon_sha256":"44e95a2208c88fe8143e2da4efa5fb675a541177b303f1516bf2af109aaf4c8a","abstract_canon_sha256":"56e6d8588de4ca0f77b0322d9b1017d97dd0e9b1f6d6e5c8c7c88aa77556ee3f"},"schema_version":"1.0"},"canonical_sha256":"9231289a041dc2924893615e5f5edb4502d1e7f2579b0ad3ec1c3f77219c1fb0","source":{"kind":"arxiv","id":"2412.13608","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.13608","created_at":"2026-07-05T09:51:05Z"},{"alias_kind":"arxiv_version","alias_value":"2412.13608v1","created_at":"2026-07-05T09:51:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.13608","created_at":"2026-07-05T09:51:05Z"},{"alias_kind":"pith_short_12","alias_value":"SIYSRGQEDXBJ","created_at":"2026-07-05T09:51:05Z"},{"alias_kind":"pith_short_16","alias_value":"SIYSRGQEDXBJESET","created_at":"2026-07-05T09:51:05Z"},{"alias_kind":"pith_short_8","alias_value":"SIYSRGQE","created_at":"2026-07-05T09:51:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:SIYSRGQEDXBJESETMFPF6XW3IU","target":"record","payload":{"canonical_record":{"source":{"id":"2412.13608","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-12-18T08:36:26Z","cross_cats_sorted":["math.PR","q-bio.QM","stat.AP","stat.ME"],"title_canon_sha256":"44e95a2208c88fe8143e2da4efa5fb675a541177b303f1516bf2af109aaf4c8a","abstract_canon_sha256":"56e6d8588de4ca0f77b0322d9b1017d97dd0e9b1f6d6e5c8c7c88aa77556ee3f"},"schema_version":"1.0"},"canonical_sha256":"9231289a041dc2924893615e5f5edb4502d1e7f2579b0ad3ec1c3f77219c1fb0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:51:05.023347Z","signature_b64":"Kywy5yIrgP+YHG3xwAZ/4WGqQyjNdfm5DJ+FpGGNc6Obyeek0faoiHIfOC8YZ1DeoEU+FGQD0nUJCP8mFAwuCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9231289a041dc2924893615e5f5edb4502d1e7f2579b0ad3ec1c3f77219c1fb0","last_reissued_at":"2026-07-05T09:51:05.022823Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:51:05.022823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.13608","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":"2026-07-05T09:51:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0Li6e9imJUQ1NWSp793FmfSE1984bh+mQRsghlcuWJblKFUQRhsGO1CJVIjc0s7l6CzOodN0u/bw7wmcS6auDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T13:01:47.573168Z"},"content_sha256":"d00e06be7b2c13fe94d732c1f47983252df23652ff9e796feffffa0788b56d21","schema_version":"1.0","event_id":"sha256:d00e06be7b2c13fe94d732c1f47983252df23652ff9e796feffffa0788b56d21"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:SIYSRGQEDXBJESETMFPF6XW3IU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Disease Progression Modelling and Stratification for detecting sub-trajectories in the natural history of pathologies: application to Parkinson's Disease trajectory modelling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","q-bio.QM","stat.AP","stat.ME"],"primary_cat":"math.OC","authors_text":"Alessandro Viani (CRISAM), Boris A Gutman (IIT), Emile d'Angremont (Amsterdam UMC), Marco Lorenzi (CRISAM)","submitted_at":"2024-12-18T08:36:26Z","abstract_excerpt":"Modelling the progression of Degenerative Diseases (DD) is essential for detection, prevention, and treatment, yet it remains challenging due to the heterogeneity in disease trajectories among individuals. Factors such as demographics, genetic conditions, and lifestyle contribute to diverse phenotypical manifestations, necessitating patient stratification based on these variations. Recent methods like Subtype and Stage Inference (SuStaIn) have advanced unsupervised stratification of disease trajectories, but they face potential limitations in robustness, interpretability, and temporal granular"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.13608","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/2412.13608/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":"2026-07-05T09:51:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9hMotNgY5xjeFDDIJk7viDcwDHu4vkeFTEotbcvkupM4uLukVOsA3hJIOYO1nWBMS6f5Js5Dka8dR6cSYsw7DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T13:01:47.573684Z"},"content_sha256":"8b072b4b18f7bdad65be108e3f0e6e5536dee5ed156d018b2cff8dcb060cfa43","schema_version":"1.0","event_id":"sha256:8b072b4b18f7bdad65be108e3f0e6e5536dee5ed156d018b2cff8dcb060cfa43"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SIYSRGQEDXBJESETMFPF6XW3IU/bundle.json","state_url":"https://pith.science/pith/SIYSRGQEDXBJESETMFPF6XW3IU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SIYSRGQEDXBJESETMFPF6XW3IU/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":"2026-08-04T13:01:47Z","links":{"resolver":"https://pith.science/pith/SIYSRGQEDXBJESETMFPF6XW3IU","bundle":"https://pith.science/pith/SIYSRGQEDXBJESETMFPF6XW3IU/bundle.json","state":"https://pith.science/pith/SIYSRGQEDXBJESETMFPF6XW3IU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SIYSRGQEDXBJESETMFPF6XW3IU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:SIYSRGQEDXBJESETMFPF6XW3IU","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":"56e6d8588de4ca0f77b0322d9b1017d97dd0e9b1f6d6e5c8c7c88aa77556ee3f","cross_cats_sorted":["math.PR","q-bio.QM","stat.AP","stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-12-18T08:36:26Z","title_canon_sha256":"44e95a2208c88fe8143e2da4efa5fb675a541177b303f1516bf2af109aaf4c8a"},"schema_version":"1.0","source":{"id":"2412.13608","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.13608","created_at":"2026-07-05T09:51:05Z"},{"alias_kind":"arxiv_version","alias_value":"2412.13608v1","created_at":"2026-07-05T09:51:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.13608","created_at":"2026-07-05T09:51:05Z"},{"alias_kind":"pith_short_12","alias_value":"SIYSRGQEDXBJ","created_at":"2026-07-05T09:51:05Z"},{"alias_kind":"pith_short_16","alias_value":"SIYSRGQEDXBJESET","created_at":"2026-07-05T09:51:05Z"},{"alias_kind":"pith_short_8","alias_value":"SIYSRGQE","created_at":"2026-07-05T09:51:05Z"}],"graph_snapshots":[{"event_id":"sha256:8b072b4b18f7bdad65be108e3f0e6e5536dee5ed156d018b2cff8dcb060cfa43","target":"graph","created_at":"2026-07-05T09:51:05Z","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/2412.13608/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Modelling the progression of Degenerative Diseases (DD) is essential for detection, prevention, and treatment, yet it remains challenging due to the heterogeneity in disease trajectories among individuals. Factors such as demographics, genetic conditions, and lifestyle contribute to diverse phenotypical manifestations, necessitating patient stratification based on these variations. Recent methods like Subtype and Stage Inference (SuStaIn) have advanced unsupervised stratification of disease trajectories, but they face potential limitations in robustness, interpretability, and temporal granular","authors_text":"Alessandro Viani (CRISAM), Boris A Gutman (IIT), Emile d'Angremont (Amsterdam UMC), Marco Lorenzi (CRISAM)","cross_cats":["math.PR","q-bio.QM","stat.AP","stat.ME"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-12-18T08:36:26Z","title":"Disease Progression Modelling and Stratification for detecting sub-trajectories in the natural history of pathologies: application to Parkinson's Disease trajectory modelling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.13608","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:d00e06be7b2c13fe94d732c1f47983252df23652ff9e796feffffa0788b56d21","target":"record","created_at":"2026-07-05T09:51:05Z","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":"56e6d8588de4ca0f77b0322d9b1017d97dd0e9b1f6d6e5c8c7c88aa77556ee3f","cross_cats_sorted":["math.PR","q-bio.QM","stat.AP","stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-12-18T08:36:26Z","title_canon_sha256":"44e95a2208c88fe8143e2da4efa5fb675a541177b303f1516bf2af109aaf4c8a"},"schema_version":"1.0","source":{"id":"2412.13608","kind":"arxiv","version":1}},"canonical_sha256":"9231289a041dc2924893615e5f5edb4502d1e7f2579b0ad3ec1c3f77219c1fb0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9231289a041dc2924893615e5f5edb4502d1e7f2579b0ad3ec1c3f77219c1fb0","first_computed_at":"2026-07-05T09:51:05.022823Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:51:05.022823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Kywy5yIrgP+YHG3xwAZ/4WGqQyjNdfm5DJ+FpGGNc6Obyeek0faoiHIfOC8YZ1DeoEU+FGQD0nUJCP8mFAwuCw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:51:05.023347Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.13608","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d00e06be7b2c13fe94d732c1f47983252df23652ff9e796feffffa0788b56d21","sha256:8b072b4b18f7bdad65be108e3f0e6e5536dee5ed156d018b2cff8dcb060cfa43"],"state_sha256":"0f5bce71272693da46fb44f662c5c7b532e93250d8dc12535c68680e6736cfab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7qX0EnTM+uc5BwRv8746KxRRP9++pdvowSOLF8WNtXY77AHaWPake8RmpD2+HqYV74zhKBlx7mvEMKRt6IjgDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T13:01:47.578643Z","bundle_sha256":"78357e5aee848b9b44cca4cd0a5c089b4cd9771cb30f5f01798142eadb1de4ef"}}