{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:ILBERITS4S2VYG72XMFF54XAGG","short_pith_number":"pith:ILBERITS","canonical_record":{"source":{"id":"1401.0967","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-01-06T02:25:20Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"276ccf977b8928d288860696bc85ecb040741d26b6d7f6527ed721c24baf8b48","abstract_canon_sha256":"bb03001419c8409078570e17958494e0fa5493ef64b34ee99e69026c594f5401"},"schema_version":"1.0"},"canonical_sha256":"42c248a272e4b55c1bfabb0a5ef2e031acff8ac644af3222535449cbc990f6b9","source":{"kind":"arxiv","id":"1401.0967","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.0967","created_at":"2026-05-18T03:03:11Z"},{"alias_kind":"arxiv_version","alias_value":"1401.0967v1","created_at":"2026-05-18T03:03:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.0967","created_at":"2026-05-18T03:03:11Z"},{"alias_kind":"pith_short_12","alias_value":"ILBERITS4S2V","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"ILBERITS4S2VYG72","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"ILBERITS","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:ILBERITS4S2VYG72XMFF54XAGG","target":"record","payload":{"canonical_record":{"source":{"id":"1401.0967","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-01-06T02:25:20Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"276ccf977b8928d288860696bc85ecb040741d26b6d7f6527ed721c24baf8b48","abstract_canon_sha256":"bb03001419c8409078570e17958494e0fa5493ef64b34ee99e69026c594f5401"},"schema_version":"1.0"},"canonical_sha256":"42c248a272e4b55c1bfabb0a5ef2e031acff8ac644af3222535449cbc990f6b9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:03:11.411131Z","signature_b64":"iOqQmDVouI6V2vabBqJEdGaKPtVlXuLHmlxD6rvNZKMHIlvRkJ2/RAW+eHCU5IPAH+H9uLsBYsTBCAbucz8eDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42c248a272e4b55c1bfabb0a5ef2e031acff8ac644af3222535449cbc990f6b9","last_reissued_at":"2026-05-18T03:03:11.410699Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:03:11.410699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.0967","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":"2026-05-18T03:03:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s0IFkJqqDidKvP/JepWUAQ13vXs15Wc3FVS2ooxcEUmPlk3s80vKi/tVVtGBEGaAPtOzGIxtqc34L50GOoYLAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:59:34.433336Z"},"content_sha256":"d6d2d2beed6a6c916f3dfa8be7bcea26e0e5d54935435d0921c2b9f641156acd","schema_version":"1.0","event_id":"sha256:d6d2d2beed6a6c916f3dfa8be7bcea26e0e5d54935435d0921c2b9f641156acd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:ILBERITS4S2VYG72XMFF54XAGG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonparametric Density Estimation Using Partially Rank-Ordered Set Samples With Application in Estimating the Distribution of Wheat Yield","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Mahmood Kharrati-Kopaei, Mohammad Jafari Jozani, Sahar Nazari","submitted_at":"2014-01-06T02:25:20Z","abstract_excerpt":"We study nonparametric estimation of an unknown density function $f$ based on the ranked-based observations obtained from a partially rank-ordered set (PROS) sampling design. PROS sampling design has many applications in environmental, ecological and medical studies where the exact measurement of the variable of interest is costly but a small number of sampling units can be ordered with respect to the variable of interest by any means other than actual measurements and this can be done at low cost. PROS observations involve independent order statistics which are not identically distributed and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.0967","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":""},"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":"2026-05-18T03:03:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eydv9DeMp9LjyoDxKgkhbC2bt6Wz3fJtat/7QFduGX2FEiKBPup8mkCqkJ8fMBOtdE9JN+PDLh8MZAAGon8SAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:59:34.434040Z"},"content_sha256":"1359dbb908159d225d6af1a98c5ad01004abfc23712e58dc73e6220f2179a73a","schema_version":"1.0","event_id":"sha256:1359dbb908159d225d6af1a98c5ad01004abfc23712e58dc73e6220f2179a73a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ILBERITS4S2VYG72XMFF54XAGG/bundle.json","state_url":"https://pith.science/pith/ILBERITS4S2VYG72XMFF54XAGG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ILBERITS4S2VYG72XMFF54XAGG/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":"2026-05-25T17:59:34Z","links":{"resolver":"https://pith.science/pith/ILBERITS4S2VYG72XMFF54XAGG","bundle":"https://pith.science/pith/ILBERITS4S2VYG72XMFF54XAGG/bundle.json","state":"https://pith.science/pith/ILBERITS4S2VYG72XMFF54XAGG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ILBERITS4S2VYG72XMFF54XAGG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ILBERITS4S2VYG72XMFF54XAGG","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":"bb03001419c8409078570e17958494e0fa5493ef64b34ee99e69026c594f5401","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-01-06T02:25:20Z","title_canon_sha256":"276ccf977b8928d288860696bc85ecb040741d26b6d7f6527ed721c24baf8b48"},"schema_version":"1.0","source":{"id":"1401.0967","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.0967","created_at":"2026-05-18T03:03:11Z"},{"alias_kind":"arxiv_version","alias_value":"1401.0967v1","created_at":"2026-05-18T03:03:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.0967","created_at":"2026-05-18T03:03:11Z"},{"alias_kind":"pith_short_12","alias_value":"ILBERITS4S2V","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"ILBERITS4S2VYG72","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"ILBERITS","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:1359dbb908159d225d6af1a98c5ad01004abfc23712e58dc73e6220f2179a73a","target":"graph","created_at":"2026-05-18T03:03:11Z","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 study nonparametric estimation of an unknown density function $f$ based on the ranked-based observations obtained from a partially rank-ordered set (PROS) sampling design. PROS sampling design has many applications in environmental, ecological and medical studies where the exact measurement of the variable of interest is costly but a small number of sampling units can be ordered with respect to the variable of interest by any means other than actual measurements and this can be done at low cost. PROS observations involve independent order statistics which are not identically distributed and","authors_text":"Mahmood Kharrati-Kopaei, Mohammad Jafari Jozani, Sahar Nazari","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-01-06T02:25:20Z","title":"Nonparametric Density Estimation Using Partially Rank-Ordered Set Samples With Application in Estimating the Distribution of Wheat Yield"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.0967","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:d6d2d2beed6a6c916f3dfa8be7bcea26e0e5d54935435d0921c2b9f641156acd","target":"record","created_at":"2026-05-18T03:03:11Z","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":"bb03001419c8409078570e17958494e0fa5493ef64b34ee99e69026c594f5401","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-01-06T02:25:20Z","title_canon_sha256":"276ccf977b8928d288860696bc85ecb040741d26b6d7f6527ed721c24baf8b48"},"schema_version":"1.0","source":{"id":"1401.0967","kind":"arxiv","version":1}},"canonical_sha256":"42c248a272e4b55c1bfabb0a5ef2e031acff8ac644af3222535449cbc990f6b9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42c248a272e4b55c1bfabb0a5ef2e031acff8ac644af3222535449cbc990f6b9","first_computed_at":"2026-05-18T03:03:11.410699Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:03:11.410699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iOqQmDVouI6V2vabBqJEdGaKPtVlXuLHmlxD6rvNZKMHIlvRkJ2/RAW+eHCU5IPAH+H9uLsBYsTBCAbucz8eDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:03:11.411131Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.0967","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d6d2d2beed6a6c916f3dfa8be7bcea26e0e5d54935435d0921c2b9f641156acd","sha256:1359dbb908159d225d6af1a98c5ad01004abfc23712e58dc73e6220f2179a73a"],"state_sha256":"eaf82e842e366c98d9f67879fc82058078a13281cb7ca602766a5bce801204fb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"38xHYd55OfwyW/qqNFvhEjn6jPiiiw5xvjy1d3AxMEkIKNAzvTHjjot4q32w9R5QVSRi0Pi2qCKFWeHX68nXBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T17:59:34.437777Z","bundle_sha256":"194e6199a3e271b33c822f5e9d2ea2fd01f0e730379ba9f4f6fc32262b6c4e86"}}