{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:MWM4FCXVGJQK5L7XGJDHYCUT3R","short_pith_number":"pith:MWM4FCXV","canonical_record":{"source":{"id":"1704.03304","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-04-11T14:25:01Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"5e3daa013870ba02c59f43c4303c81575626b97d1eff9c78e972a99380eb4529","abstract_canon_sha256":"4c6230f6a81f56a66dee22476215d656e4c97b13844738e09086b81f44f124e3"},"schema_version":"1.0"},"canonical_sha256":"6599c28af53260aeaff732467c0a93dc6220e09ae876488f83de1b2404b127fd","source":{"kind":"arxiv","id":"1704.03304","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03304","created_at":"2026-05-17T23:56:55Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03304v2","created_at":"2026-05-17T23:56:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03304","created_at":"2026-05-17T23:56:55Z"},{"alias_kind":"pith_short_12","alias_value":"MWM4FCXVGJQK","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MWM4FCXVGJQK5L7X","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MWM4FCXV","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:MWM4FCXVGJQK5L7XGJDHYCUT3R","target":"record","payload":{"canonical_record":{"source":{"id":"1704.03304","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-04-11T14:25:01Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"5e3daa013870ba02c59f43c4303c81575626b97d1eff9c78e972a99380eb4529","abstract_canon_sha256":"4c6230f6a81f56a66dee22476215d656e4c97b13844738e09086b81f44f124e3"},"schema_version":"1.0"},"canonical_sha256":"6599c28af53260aeaff732467c0a93dc6220e09ae876488f83de1b2404b127fd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:55.995541Z","signature_b64":"CXIl3IDoW3hvIcudslfxFXuz501jugWRXdXCciSSJmFwF8mFHXvF/+ghzYUfpM2fA4Qw3gg5wTASWVY9nESbAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6599c28af53260aeaff732467c0a93dc6220e09ae876488f83de1b2404b127fd","last_reissued_at":"2026-05-17T23:56:55.994856Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:55.994856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.03304","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:56:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XHkxLwYuGslr+VN6r0IX9p85Pw6DvDcvggHdkKGtn7YiTD2bmOFE1dXYZqkZMwdhNuYPfvIDcPr8qaiVeqAgAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T04:04:19.058646Z"},"content_sha256":"107d2adc8dfd00d4bfa7e6d5b24eff26b1e4a6d9a96abbfd83d33019474f0b91","schema_version":"1.0","event_id":"sha256:107d2adc8dfd00d4bfa7e6d5b24eff26b1e4a6d9a96abbfd83d33019474f0b91"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:MWM4FCXVGJQK5L7XGJDHYCUT3R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Time-dynamic inference for non-Markov transition probabilities under independent right-censoring","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Andrew C. Titman, Dennis Dobler","submitted_at":"2017-04-11T14:25:01Z","abstract_excerpt":"In this article, weak convergence of the general non-Markov state transition probability estimator by Titman (2015) is established which, up to now, has not been verified yet for other general non-Markov estimators. A similar theorem is shown for the bootstrap, yielding resampling-based inference methods for statistical functionals. Formulas of the involved covariance functions are presented in detail. Particular applications include the conditional expected length of stay in a specific state, given occupation of another state in the past, as well as the construction of time-simultaneous confi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03304","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-17T23:56:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MFEPAW9UugS6MjLnDPXAa7iyQ/mN2S4T8g2XOcsBarjUhB54RSBz40PazK08vOkY3wG1W05SHAkDioZrQaGzDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T04:04:19.058995Z"},"content_sha256":"f064671fecd3d11d85716219e77242a7c3aabaebcfdddb181671a6e2152ef775","schema_version":"1.0","event_id":"sha256:f064671fecd3d11d85716219e77242a7c3aabaebcfdddb181671a6e2152ef775"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MWM4FCXVGJQK5L7XGJDHYCUT3R/bundle.json","state_url":"https://pith.science/pith/MWM4FCXVGJQK5L7XGJDHYCUT3R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MWM4FCXVGJQK5L7XGJDHYCUT3R/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":"2026-06-24T04:04:19Z","links":{"resolver":"https://pith.science/pith/MWM4FCXVGJQK5L7XGJDHYCUT3R","bundle":"https://pith.science/pith/MWM4FCXVGJQK5L7XGJDHYCUT3R/bundle.json","state":"https://pith.science/pith/MWM4FCXVGJQK5L7XGJDHYCUT3R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MWM4FCXVGJQK5L7XGJDHYCUT3R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MWM4FCXVGJQK5L7XGJDHYCUT3R","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":"4c6230f6a81f56a66dee22476215d656e4c97b13844738e09086b81f44f124e3","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-04-11T14:25:01Z","title_canon_sha256":"5e3daa013870ba02c59f43c4303c81575626b97d1eff9c78e972a99380eb4529"},"schema_version":"1.0","source":{"id":"1704.03304","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03304","created_at":"2026-05-17T23:56:55Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03304v2","created_at":"2026-05-17T23:56:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03304","created_at":"2026-05-17T23:56:55Z"},{"alias_kind":"pith_short_12","alias_value":"MWM4FCXVGJQK","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MWM4FCXVGJQK5L7X","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MWM4FCXV","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:f064671fecd3d11d85716219e77242a7c3aabaebcfdddb181671a6e2152ef775","target":"graph","created_at":"2026-05-17T23:56:55Z","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"},"paper":{"abstract_excerpt":"In this article, weak convergence of the general non-Markov state transition probability estimator by Titman (2015) is established which, up to now, has not been verified yet for other general non-Markov estimators. A similar theorem is shown for the bootstrap, yielding resampling-based inference methods for statistical functionals. Formulas of the involved covariance functions are presented in detail. Particular applications include the conditional expected length of stay in a specific state, given occupation of another state in the past, as well as the construction of time-simultaneous confi","authors_text":"Andrew C. Titman, Dennis Dobler","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-04-11T14:25:01Z","title":"Time-dynamic inference for non-Markov transition probabilities under independent right-censoring"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03304","kind":"arxiv","version":2},"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":"sha256:107d2adc8dfd00d4bfa7e6d5b24eff26b1e4a6d9a96abbfd83d33019474f0b91","target":"record","created_at":"2026-05-17T23:56:55Z","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":"4c6230f6a81f56a66dee22476215d656e4c97b13844738e09086b81f44f124e3","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-04-11T14:25:01Z","title_canon_sha256":"5e3daa013870ba02c59f43c4303c81575626b97d1eff9c78e972a99380eb4529"},"schema_version":"1.0","source":{"id":"1704.03304","kind":"arxiv","version":2}},"canonical_sha256":"6599c28af53260aeaff732467c0a93dc6220e09ae876488f83de1b2404b127fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6599c28af53260aeaff732467c0a93dc6220e09ae876488f83de1b2404b127fd","first_computed_at":"2026-05-17T23:56:55.994856Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:55.994856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CXIl3IDoW3hvIcudslfxFXuz501jugWRXdXCciSSJmFwF8mFHXvF/+ghzYUfpM2fA4Qw3gg5wTASWVY9nESbAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:55.995541Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.03304","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:107d2adc8dfd00d4bfa7e6d5b24eff26b1e4a6d9a96abbfd83d33019474f0b91","sha256:f064671fecd3d11d85716219e77242a7c3aabaebcfdddb181671a6e2152ef775"],"state_sha256":"c97ec5fe33e43689beaa26991cacf48226468ccaa3df094cad150a6f5496b08e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C+n9y4DM2cz+p4xTle/FwQfwwjVDK++7non+UCumEPfmZMnedQFzzgyD1id1FdbvkwZ3X7Dk9SEYyFONRjCAAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T04:04:19.060975Z","bundle_sha256":"35ca9d01749be0410a1f01704ebf43c487582aef663c85247539bcc32b205e7d"}}