{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:37QK3VNYDJJMVE7OQPSSXR23L6","short_pith_number":"pith:37QK3VNY","canonical_record":{"source":{"id":"2507.15985","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2025-07-21T18:26:00Z","cross_cats_sorted":["stat.CO"],"title_canon_sha256":"ddf5c8b249bb01fc8f5a1a57a4cc05d3b8f49df36f9e48ecb51c370be5732809","abstract_canon_sha256":"7e17d245b9229747c942a7fb14617f1e2182605def154dde9c8291351fcb2c31"},"schema_version":"1.0"},"canonical_sha256":"dfe0add5b81a52ca93ee83e52bc75b5f9780df0a0a28d8cb76adc856a477a5ea","source":{"kind":"arxiv","id":"2507.15985","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.15985","created_at":"2026-07-05T11:41:00Z"},{"alias_kind":"arxiv_version","alias_value":"2507.15985v1","created_at":"2026-07-05T11:41:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.15985","created_at":"2026-07-05T11:41:00Z"},{"alias_kind":"pith_short_12","alias_value":"37QK3VNYDJJM","created_at":"2026-07-05T11:41:00Z"},{"alias_kind":"pith_short_16","alias_value":"37QK3VNYDJJMVE7O","created_at":"2026-07-05T11:41:00Z"},{"alias_kind":"pith_short_8","alias_value":"37QK3VNY","created_at":"2026-07-05T11:41:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:37QK3VNYDJJMVE7OQPSSXR23L6","target":"record","payload":{"canonical_record":{"source":{"id":"2507.15985","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2025-07-21T18:26:00Z","cross_cats_sorted":["stat.CO"],"title_canon_sha256":"ddf5c8b249bb01fc8f5a1a57a4cc05d3b8f49df36f9e48ecb51c370be5732809","abstract_canon_sha256":"7e17d245b9229747c942a7fb14617f1e2182605def154dde9c8291351fcb2c31"},"schema_version":"1.0"},"canonical_sha256":"dfe0add5b81a52ca93ee83e52bc75b5f9780df0a0a28d8cb76adc856a477a5ea","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:41:00.504997Z","signature_b64":"JnLP0PLLw1n//2JfgzC+JxJlwgDvNzK6ZGr0bIAdbtbCm3CYlhlUPuSa4doU320RbQj+EG3ZuBm73YAx6/S3Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dfe0add5b81a52ca93ee83e52bc75b5f9780df0a0a28d8cb76adc856a477a5ea","last_reissued_at":"2026-07-05T11:41:00.504393Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:41:00.504393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.15985","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":"2026-07-05T11:41:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oOSeaWJ1/5bpT0kk3+VRyPt62cYYHLGgzbBwdTx14W/FoFcRv8OBUZzKn4jwLiSoNmheuxpoOPEVZwFI0UusBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T23:17:29.968603Z"},"content_sha256":"d8dab9a094add75cae6da21596992ee6f6310c27c2fd75af36b55e5c19b19923","schema_version":"1.0","event_id":"sha256:d8dab9a094add75cae6da21596992ee6f6310c27c2fd75af36b55e5c19b19923"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:37QK3VNYDJJMVE7OQPSSXR23L6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Comment on \"Average Hazard as Harmonic Mean\" by Chiba","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.CO"],"primary_cat":"stat.ME","authors_text":"Hajime Uno, Lu Tian, Miki Horiguchi, Satoshi Hattori","submitted_at":"2025-07-21T18:26:00Z","abstract_excerpt":"In a recent article published in Pharmaceutical Statistics, Chiba proposed a reinterpretation of the average hazard as a harmonic mean of the hazard function and questioned the validity of the Kaplan-Meier plug-in estimator when the truncation time does not coincide with an observed event time. In this commentary, we examine the arguments presented and highlight several points that warrant clarification. Through simulation studies, we further show that the plug-in estimator provides reliable estimates across a range of truncation times, even in small samples. These support the continued utiliz"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.15985","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/2507.15985/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":"2026-07-05T11:41:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1dHRMrgyq/1R6docsVfzA8H/Vu1Zh+1WoMoZD3Vt6swps6ehbJ9dQudz2umgbc75cEwyP+6VpnNLrPtyaxZaBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T23:17:29.969289Z"},"content_sha256":"6e8c7c71156b97dbfb7164e87c332536720741986eec2ff1abebe7f6297cf67b","schema_version":"1.0","event_id":"sha256:6e8c7c71156b97dbfb7164e87c332536720741986eec2ff1abebe7f6297cf67b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/37QK3VNYDJJMVE7OQPSSXR23L6/bundle.json","state_url":"https://pith.science/pith/37QK3VNYDJJMVE7OQPSSXR23L6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/37QK3VNYDJJMVE7OQPSSXR23L6/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":"2026-08-19T23:17:29Z","links":{"resolver":"https://pith.science/pith/37QK3VNYDJJMVE7OQPSSXR23L6","bundle":"https://pith.science/pith/37QK3VNYDJJMVE7OQPSSXR23L6/bundle.json","state":"https://pith.science/pith/37QK3VNYDJJMVE7OQPSSXR23L6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/37QK3VNYDJJMVE7OQPSSXR23L6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:37QK3VNYDJJMVE7OQPSSXR23L6","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":"7e17d245b9229747c942a7fb14617f1e2182605def154dde9c8291351fcb2c31","cross_cats_sorted":["stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2025-07-21T18:26:00Z","title_canon_sha256":"ddf5c8b249bb01fc8f5a1a57a4cc05d3b8f49df36f9e48ecb51c370be5732809"},"schema_version":"1.0","source":{"id":"2507.15985","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.15985","created_at":"2026-07-05T11:41:00Z"},{"alias_kind":"arxiv_version","alias_value":"2507.15985v1","created_at":"2026-07-05T11:41:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.15985","created_at":"2026-07-05T11:41:00Z"},{"alias_kind":"pith_short_12","alias_value":"37QK3VNYDJJM","created_at":"2026-07-05T11:41:00Z"},{"alias_kind":"pith_short_16","alias_value":"37QK3VNYDJJMVE7O","created_at":"2026-07-05T11:41:00Z"},{"alias_kind":"pith_short_8","alias_value":"37QK3VNY","created_at":"2026-07-05T11:41:00Z"}],"graph_snapshots":[{"event_id":"sha256:6e8c7c71156b97dbfb7164e87c332536720741986eec2ff1abebe7f6297cf67b","target":"graph","created_at":"2026-07-05T11:41:00Z","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/2507.15985/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In a recent article published in Pharmaceutical Statistics, Chiba proposed a reinterpretation of the average hazard as a harmonic mean of the hazard function and questioned the validity of the Kaplan-Meier plug-in estimator when the truncation time does not coincide with an observed event time. In this commentary, we examine the arguments presented and highlight several points that warrant clarification. Through simulation studies, we further show that the plug-in estimator provides reliable estimates across a range of truncation times, even in small samples. These support the continued utiliz","authors_text":"Hajime Uno, Lu Tian, Miki Horiguchi, Satoshi Hattori","cross_cats":["stat.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2025-07-21T18:26:00Z","title":"Comment on \"Average Hazard as Harmonic Mean\" by Chiba"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.15985","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:d8dab9a094add75cae6da21596992ee6f6310c27c2fd75af36b55e5c19b19923","target":"record","created_at":"2026-07-05T11:41:00Z","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":"7e17d245b9229747c942a7fb14617f1e2182605def154dde9c8291351fcb2c31","cross_cats_sorted":["stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2025-07-21T18:26:00Z","title_canon_sha256":"ddf5c8b249bb01fc8f5a1a57a4cc05d3b8f49df36f9e48ecb51c370be5732809"},"schema_version":"1.0","source":{"id":"2507.15985","kind":"arxiv","version":1}},"canonical_sha256":"dfe0add5b81a52ca93ee83e52bc75b5f9780df0a0a28d8cb76adc856a477a5ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dfe0add5b81a52ca93ee83e52bc75b5f9780df0a0a28d8cb76adc856a477a5ea","first_computed_at":"2026-07-05T11:41:00.504393Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:41:00.504393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JnLP0PLLw1n//2JfgzC+JxJlwgDvNzK6ZGr0bIAdbtbCm3CYlhlUPuSa4doU320RbQj+EG3ZuBm73YAx6/S3Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:41:00.504997Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.15985","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d8dab9a094add75cae6da21596992ee6f6310c27c2fd75af36b55e5c19b19923","sha256:6e8c7c71156b97dbfb7164e87c332536720741986eec2ff1abebe7f6297cf67b"],"state_sha256":"59907d2cd63ed42bbd7d5f409f7462a793fbb839d92445f59eb1a08d7c608de6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Asy2tyCwvvg+1jxus+BThlx4HpxvliuEjDxRbLTyY7ZWL+B6CJx7GM3fLA6I1c/A6mFtqiXAVkYjBn3KdZvCAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T23:17:29.974818Z","bundle_sha256":"0d12d3af756b8f87917e6b131de61d7c06731beee105e9603c1e865f84993bca"}}