{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:7GHVRPHAN65VL4YSYCKWKG6ZBA","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":"d6d1040d98a443bb9aa358d8c5dcb27a43d79ca50c489d14f9e50e375a4a8534","cross_cats_sorted":["stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2024-07-09T04:06:15Z","title_canon_sha256":"0088cbd99c4c0fa501207f7dbdfeb0c19ef6543fc2c15a87d2efdd2950f71213"},"schema_version":"1.0","source":{"id":"2407.06532","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.06532","created_at":"2026-07-05T08:41:49Z"},{"alias_kind":"arxiv_version","alias_value":"2407.06532v1","created_at":"2026-07-05T08:41:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.06532","created_at":"2026-07-05T08:41:49Z"},{"alias_kind":"pith_short_12","alias_value":"7GHVRPHAN65V","created_at":"2026-07-05T08:41:49Z"},{"alias_kind":"pith_short_16","alias_value":"7GHVRPHAN65VL4YS","created_at":"2026-07-05T08:41:49Z"},{"alias_kind":"pith_short_8","alias_value":"7GHVRPHA","created_at":"2026-07-05T08:41:49Z"}],"graph_snapshots":[{"event_id":"sha256:d6e5e352b3587ebcc224b341c4bf324b218be8d001fccf85c8ab2c5d744f9a3e","target":"graph","created_at":"2026-07-05T08:41:49Z","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/2407.06532/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Shape-restricted inferences have exhibited empirical success in various applications with survival data. However, certain works fall short in providing a rigorous theoretical justification and an easy-to-use variance estimator with theoretical guarantee. Motivated by Deng et al. (2023), this paper delves into an additive and shape-restricted partially linear Cox model for right-censored data, where each additive component satisfies a specific shape restriction, encompassing monotonic increasing/decreasing and convexity/concavity. We systematically investigate the consistencies and convergence ","authors_text":"Jing Qin, Junjun Lang, Yukun Liu","cross_cats":["stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2024-07-09T04:06:15Z","title":"Efficient estimation of partially linear additive Cox models and variance estimation under shape restrictions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.06532","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":"sha256:04e33c40783ba05d8dd2efcc612aff6408be95849ccc977a00ffc2f1963b41fe","target":"record","created_at":"2026-07-05T08:41:49Z","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":"d6d1040d98a443bb9aa358d8c5dcb27a43d79ca50c489d14f9e50e375a4a8534","cross_cats_sorted":["stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2024-07-09T04:06:15Z","title_canon_sha256":"0088cbd99c4c0fa501207f7dbdfeb0c19ef6543fc2c15a87d2efdd2950f71213"},"schema_version":"1.0","source":{"id":"2407.06532","kind":"arxiv","version":1}},"canonical_sha256":"f98f58bce06fbb55f312c095651bd90806696ce5467af7b1a26d223a4b19d69a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f98f58bce06fbb55f312c095651bd90806696ce5467af7b1a26d223a4b19d69a","first_computed_at":"2026-07-05T08:41:49.768324Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:41:49.768324Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w1awmGS59/AV2sPKX2B8YrA/KoKcVwjCjFFcgWRfaQTJV8tVRWufbRnQp6wqI9XC+N4KIoBz7sBRT7kW6RiPDA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:41:49.768864Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.06532","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:04e33c40783ba05d8dd2efcc612aff6408be95849ccc977a00ffc2f1963b41fe","sha256:d6e5e352b3587ebcc224b341c4bf324b218be8d001fccf85c8ab2c5d744f9a3e"],"state_sha256":"83bf91816526a47649f9d32ffc4b54df424bfa0087ac42ad9211ca4a415ab3f1"}