{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:BNTANZ5HYZ3I7M74JVTYM7LCPA","short_pith_number":"pith:BNTANZ5H","canonical_record":{"source":{"id":"0908.2616","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2009-08-18T19:41:07Z","cross_cats_sorted":["math.ST","stat.AP","stat.TH"],"title_canon_sha256":"f24ad262a19762b7706f8592365a1f9a6115a45b0ee9ecac95d21b72f3b7fe52","abstract_canon_sha256":"f0f0bb507b2ebfd5584e8d05f36d155fb72a04b09a6db80f20264f8085e8760d"},"schema_version":"1.0"},"canonical_sha256":"0b6606e7a7c6768fb3fc4d67867d62782800d9d21731f38d572711209b6f653e","source":{"kind":"arxiv","id":"0908.2616","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.2616","created_at":"2026-05-18T04:01:51Z"},{"alias_kind":"arxiv_version","alias_value":"0908.2616v2","created_at":"2026-05-18T04:01:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.2616","created_at":"2026-05-18T04:01:51Z"},{"alias_kind":"pith_short_12","alias_value":"BNTANZ5HYZ3I","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"BNTANZ5HYZ3I7M74","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"BNTANZ5H","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:BNTANZ5HYZ3I7M74JVTYM7LCPA","target":"record","payload":{"canonical_record":{"source":{"id":"0908.2616","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2009-08-18T19:41:07Z","cross_cats_sorted":["math.ST","stat.AP","stat.TH"],"title_canon_sha256":"f24ad262a19762b7706f8592365a1f9a6115a45b0ee9ecac95d21b72f3b7fe52","abstract_canon_sha256":"f0f0bb507b2ebfd5584e8d05f36d155fb72a04b09a6db80f20264f8085e8760d"},"schema_version":"1.0"},"canonical_sha256":"0b6606e7a7c6768fb3fc4d67867d62782800d9d21731f38d572711209b6f653e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:01:51.355434Z","signature_b64":"jy6S5Kr+9PKjOxEVxec70XO6UtldBSaELfQE2Q4B7+9GGPP1hlWiuVz6pWNaQDDzxJ8eE61+souQ8aWPeYMcBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b6606e7a7c6768fb3fc4d67867d62782800d9d21731f38d572711209b6f653e","last_reissued_at":"2026-05-18T04:01:51.354871Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:01:51.354871Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0908.2616","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":"2026-05-18T04:01:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N7dNxWfiI+rhq/EI/+bFyTRhwEOGGPSAjyroe9JKbo4HTLxjHE6Gsdqy4ubX+UoCUq3PSgDA3buFtilkJRiuBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T05:19:12.101233Z"},"content_sha256":"387512a91145f4563ab63f61d7ea5f5c30ec37f5adf3bccfde66a7871b86eb33","schema_version":"1.0","event_id":"sha256:387512a91145f4563ab63f61d7ea5f5c30ec37f5adf3bccfde66a7871b86eb33"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:BNTANZ5HYZ3I7M74JVTYM7LCPA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Convergence of Nonparametric Long-Memory Phase I Designs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.AP","stat.TH"],"primary_cat":"stat.ME","authors_text":"Assaf P. Oron, David Azriel, Peter D. Hoff","submitted_at":"2009-08-18T19:41:07Z","abstract_excerpt":"We examine nonparametric dose-finding designs that use toxicity estimates based on all available data at each dose allocation decision. We prove that one such design family, called here \"interval design\", converges almost surely to the maximum tolerated dose (MTD), if the MTD is the only dose level whose toxicity rate falls within the pre-specified interval around the desired target rate. Another nonparametric family, called \"point design\", has a positive probability of not converging. In a numerical sensitivity study, a diverse sample of dose-toxicity scenarios was randomly generated. On this"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.2616","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":"2026-05-18T04:01:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IbGmW41yf3Iob83o7SiB1Uq7OrxSxV4Cni8yGbPy/+utYZjYUno2f+deWHcfqjMaZdafqt5a8W/6F4cvnyAlBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T05:19:12.101899Z"},"content_sha256":"50158e81d330ddc23a37a03691e1e1daca6a0e386764c8dea597451b9893292b","schema_version":"1.0","event_id":"sha256:50158e81d330ddc23a37a03691e1e1daca6a0e386764c8dea597451b9893292b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BNTANZ5HYZ3I7M74JVTYM7LCPA/bundle.json","state_url":"https://pith.science/pith/BNTANZ5HYZ3I7M74JVTYM7LCPA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BNTANZ5HYZ3I7M74JVTYM7LCPA/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":"2026-06-04T05:19:12Z","links":{"resolver":"https://pith.science/pith/BNTANZ5HYZ3I7M74JVTYM7LCPA","bundle":"https://pith.science/pith/BNTANZ5HYZ3I7M74JVTYM7LCPA/bundle.json","state":"https://pith.science/pith/BNTANZ5HYZ3I7M74JVTYM7LCPA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BNTANZ5HYZ3I7M74JVTYM7LCPA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:BNTANZ5HYZ3I7M74JVTYM7LCPA","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":"f0f0bb507b2ebfd5584e8d05f36d155fb72a04b09a6db80f20264f8085e8760d","cross_cats_sorted":["math.ST","stat.AP","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2009-08-18T19:41:07Z","title_canon_sha256":"f24ad262a19762b7706f8592365a1f9a6115a45b0ee9ecac95d21b72f3b7fe52"},"schema_version":"1.0","source":{"id":"0908.2616","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.2616","created_at":"2026-05-18T04:01:51Z"},{"alias_kind":"arxiv_version","alias_value":"0908.2616v2","created_at":"2026-05-18T04:01:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.2616","created_at":"2026-05-18T04:01:51Z"},{"alias_kind":"pith_short_12","alias_value":"BNTANZ5HYZ3I","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"BNTANZ5HYZ3I7M74","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"BNTANZ5H","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:50158e81d330ddc23a37a03691e1e1daca6a0e386764c8dea597451b9893292b","target":"graph","created_at":"2026-05-18T04:01:51Z","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":"We examine nonparametric dose-finding designs that use toxicity estimates based on all available data at each dose allocation decision. We prove that one such design family, called here \"interval design\", converges almost surely to the maximum tolerated dose (MTD), if the MTD is the only dose level whose toxicity rate falls within the pre-specified interval around the desired target rate. Another nonparametric family, called \"point design\", has a positive probability of not converging. In a numerical sensitivity study, a diverse sample of dose-toxicity scenarios was randomly generated. On this","authors_text":"Assaf P. Oron, David Azriel, Peter D. Hoff","cross_cats":["math.ST","stat.AP","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2009-08-18T19:41:07Z","title":"Convergence of Nonparametric Long-Memory Phase I Designs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.2616","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":"sha256:387512a91145f4563ab63f61d7ea5f5c30ec37f5adf3bccfde66a7871b86eb33","target":"record","created_at":"2026-05-18T04:01:51Z","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":"f0f0bb507b2ebfd5584e8d05f36d155fb72a04b09a6db80f20264f8085e8760d","cross_cats_sorted":["math.ST","stat.AP","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2009-08-18T19:41:07Z","title_canon_sha256":"f24ad262a19762b7706f8592365a1f9a6115a45b0ee9ecac95d21b72f3b7fe52"},"schema_version":"1.0","source":{"id":"0908.2616","kind":"arxiv","version":2}},"canonical_sha256":"0b6606e7a7c6768fb3fc4d67867d62782800d9d21731f38d572711209b6f653e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b6606e7a7c6768fb3fc4d67867d62782800d9d21731f38d572711209b6f653e","first_computed_at":"2026-05-18T04:01:51.354871Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:51.354871Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jy6S5Kr+9PKjOxEVxec70XO6UtldBSaELfQE2Q4B7+9GGPP1hlWiuVz6pWNaQDDzxJ8eE61+souQ8aWPeYMcBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:51.355434Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.2616","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:387512a91145f4563ab63f61d7ea5f5c30ec37f5adf3bccfde66a7871b86eb33","sha256:50158e81d330ddc23a37a03691e1e1daca6a0e386764c8dea597451b9893292b"],"state_sha256":"f9c8bc3a70ed57a030ec89ff2d0e18b6b6367e35c3f50b326172c734c980484d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S9QMrAReHsreoBg5vCVykM8zbpRGTyBx+aLliY86VrqT1+4bahiNwC8gNv/8Ie6wVpVkxdvUVFLXKv1wzSElCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T05:19:12.105093Z","bundle_sha256":"244938aeb70f30ebfbbc569799734bc8213672a2ceb508acf95516752bdd2e7f"}}