{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:3JVAOPLMRGE6SU4IFJSWURM2YU","short_pith_number":"pith:3JVAOPLM","canonical_record":{"source":{"id":"2502.03479","kind":"arxiv","version":6},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.AP","submitted_at":"2025-01-27T07:21:41Z","cross_cats_sorted":["stat.CO"],"title_canon_sha256":"47078b9a29e8c840c59db6d9b3516c52387a4c3f877656ae17e26455f8293182","abstract_canon_sha256":"5f2dd9b95b94883b685fb6f0353ddb04d71fa5e40749bf209786092e78c2bc2f"},"schema_version":"1.0"},"canonical_sha256":"da6a073d6c8989e953882a656a459ac52aa4dbb1db9cf288f4724657778f0a70","source":{"kind":"arxiv","id":"2502.03479","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.03479","created_at":"2026-07-05T12:04:30Z"},{"alias_kind":"arxiv_version","alias_value":"2502.03479v6","created_at":"2026-07-05T12:04:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.03479","created_at":"2026-07-05T12:04:30Z"},{"alias_kind":"pith_short_12","alias_value":"3JVAOPLMRGE6","created_at":"2026-07-05T12:04:30Z"},{"alias_kind":"pith_short_16","alias_value":"3JVAOPLMRGE6SU4I","created_at":"2026-07-05T12:04:30Z"},{"alias_kind":"pith_short_8","alias_value":"3JVAOPLM","created_at":"2026-07-05T12:04:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:3JVAOPLMRGE6SU4IFJSWURM2YU","target":"record","payload":{"canonical_record":{"source":{"id":"2502.03479","kind":"arxiv","version":6},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.AP","submitted_at":"2025-01-27T07:21:41Z","cross_cats_sorted":["stat.CO"],"title_canon_sha256":"47078b9a29e8c840c59db6d9b3516c52387a4c3f877656ae17e26455f8293182","abstract_canon_sha256":"5f2dd9b95b94883b685fb6f0353ddb04d71fa5e40749bf209786092e78c2bc2f"},"schema_version":"1.0"},"canonical_sha256":"da6a073d6c8989e953882a656a459ac52aa4dbb1db9cf288f4724657778f0a70","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:04:30.789833Z","signature_b64":"0a/LH9QI7Yn7Ok9YXmwwUci2B1POSLLdW/lgBGfFyULiqBHbQGaooRXOGGbyieARnP03bNzcwbr+xiZHGlpaCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da6a073d6c8989e953882a656a459ac52aa4dbb1db9cf288f4724657778f0a70","last_reissued_at":"2026-07-05T12:04:30.789309Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:04:30.789309Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.03479","source_version":6,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T12:04:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L39UE9FWeoaDtGNvNuSlp1A1LJyU1kORI+mf5gUbOJfw7W/kJ68fh5Qu4w12j7LOv32aaluBO1O4o0Rg5HIfAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T20:05:35.516710Z"},"content_sha256":"aa50363ad12812f8aa7249b4cf96cd2bf0f7d09b2d8c4b58ca18144d349c8574","schema_version":"1.0","event_id":"sha256:aa50363ad12812f8aa7249b4cf96cd2bf0f7d09b2d8c4b58ca18144d349c8574"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:3JVAOPLMRGE6SU4IFJSWURM2YU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Markov Renewal Proportional Hazards is All You Need","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["stat.CO"],"primary_cat":"stat.AP","authors_text":"Elvis Han Cui","submitted_at":"2025-01-27T07:21:41Z","abstract_excerpt":"Transition probability estimation plays a critical role in multi-state modeling, especially in clinical research. This paper investigates the application of semi-Markov and Markov renewal frameworks to the EBMT dataset, focusing on six clinical states encountered during hematopoietic stem cell transplantation. By comparing Aalen-Johansen (AJ) and Dabrowska-Sun-Horowitz (DSH) estimators, we demonstrate that semi-Markov models, which incorporate sojourn times, provide a more nuanced and temporally sensitive depiction of patient trajectories compared to memoryless Markov models. The DSH estimator"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.03479","kind":"arxiv","version":6},"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/2502.03479/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":"2026-07-05T12:04:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zgUFj7Kt8VrmqyPfrzMn3viPxajtmAPBgFp8q2Ef0weA3Td0uEjlIMGMTfVslX4V8ElTwkHCBg+W5zRrWJo2Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T20:05:35.517284Z"},"content_sha256":"733cdb92298281da5632c2e05ba85e2c591ddeb5a80263638d6bfcc765375e15","schema_version":"1.0","event_id":"sha256:733cdb92298281da5632c2e05ba85e2c591ddeb5a80263638d6bfcc765375e15"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3JVAOPLMRGE6SU4IFJSWURM2YU/bundle.json","state_url":"https://pith.science/pith/3JVAOPLMRGE6SU4IFJSWURM2YU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3JVAOPLMRGE6SU4IFJSWURM2YU/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":"2026-08-13T20:05:35Z","links":{"resolver":"https://pith.science/pith/3JVAOPLMRGE6SU4IFJSWURM2YU","bundle":"https://pith.science/pith/3JVAOPLMRGE6SU4IFJSWURM2YU/bundle.json","state":"https://pith.science/pith/3JVAOPLMRGE6SU4IFJSWURM2YU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3JVAOPLMRGE6SU4IFJSWURM2YU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:3JVAOPLMRGE6SU4IFJSWURM2YU","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":"5f2dd9b95b94883b685fb6f0353ddb04d71fa5e40749bf209786092e78c2bc2f","cross_cats_sorted":["stat.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.AP","submitted_at":"2025-01-27T07:21:41Z","title_canon_sha256":"47078b9a29e8c840c59db6d9b3516c52387a4c3f877656ae17e26455f8293182"},"schema_version":"1.0","source":{"id":"2502.03479","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.03479","created_at":"2026-07-05T12:04:30Z"},{"alias_kind":"arxiv_version","alias_value":"2502.03479v6","created_at":"2026-07-05T12:04:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.03479","created_at":"2026-07-05T12:04:30Z"},{"alias_kind":"pith_short_12","alias_value":"3JVAOPLMRGE6","created_at":"2026-07-05T12:04:30Z"},{"alias_kind":"pith_short_16","alias_value":"3JVAOPLMRGE6SU4I","created_at":"2026-07-05T12:04:30Z"},{"alias_kind":"pith_short_8","alias_value":"3JVAOPLM","created_at":"2026-07-05T12:04:30Z"}],"graph_snapshots":[{"event_id":"sha256:733cdb92298281da5632c2e05ba85e2c591ddeb5a80263638d6bfcc765375e15","target":"graph","created_at":"2026-07-05T12:04:30Z","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/2502.03479/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Transition probability estimation plays a critical role in multi-state modeling, especially in clinical research. This paper investigates the application of semi-Markov and Markov renewal frameworks to the EBMT dataset, focusing on six clinical states encountered during hematopoietic stem cell transplantation. By comparing Aalen-Johansen (AJ) and Dabrowska-Sun-Horowitz (DSH) estimators, we demonstrate that semi-Markov models, which incorporate sojourn times, provide a more nuanced and temporally sensitive depiction of patient trajectories compared to memoryless Markov models. The DSH estimator","authors_text":"Elvis Han Cui","cross_cats":["stat.CO"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.AP","submitted_at":"2025-01-27T07:21:41Z","title":"Markov Renewal Proportional Hazards is All You Need"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.03479","kind":"arxiv","version":6},"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:aa50363ad12812f8aa7249b4cf96cd2bf0f7d09b2d8c4b58ca18144d349c8574","target":"record","created_at":"2026-07-05T12:04:30Z","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":"5f2dd9b95b94883b685fb6f0353ddb04d71fa5e40749bf209786092e78c2bc2f","cross_cats_sorted":["stat.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.AP","submitted_at":"2025-01-27T07:21:41Z","title_canon_sha256":"47078b9a29e8c840c59db6d9b3516c52387a4c3f877656ae17e26455f8293182"},"schema_version":"1.0","source":{"id":"2502.03479","kind":"arxiv","version":6}},"canonical_sha256":"da6a073d6c8989e953882a656a459ac52aa4dbb1db9cf288f4724657778f0a70","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da6a073d6c8989e953882a656a459ac52aa4dbb1db9cf288f4724657778f0a70","first_computed_at":"2026-07-05T12:04:30.789309Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:04:30.789309Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0a/LH9QI7Yn7Ok9YXmwwUci2B1POSLLdW/lgBGfFyULiqBHbQGaooRXOGGbyieARnP03bNzcwbr+xiZHGlpaCw==","signature_status":"signed_v1","signed_at":"2026-07-05T12:04:30.789833Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.03479","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa50363ad12812f8aa7249b4cf96cd2bf0f7d09b2d8c4b58ca18144d349c8574","sha256:733cdb92298281da5632c2e05ba85e2c591ddeb5a80263638d6bfcc765375e15"],"state_sha256":"98784a8e563e59b21a99e8fa51f9313cee053a647e3c7d0a8b05dfcc0a102bd2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LMRaARK1SgRfXkbfrLfI7Kt2AUINreX2uXSLwkmj1G5Q/1hhBcJ+rP3udFCUC2YRzjAdQ/a2RC5w0ZeWAnFICg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T20:05:35.531473Z","bundle_sha256":"0e403c27edb3bd3f70745fab9c9ca63f05aed0847022466f7ad4f53725110b0b"}}