{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:UKIFYCPPPDKC4GE5CSUWKZTIEY","short_pith_number":"pith:UKIFYCPP","canonical_record":{"source":{"id":"1402.3921","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-02-17T08:03:27Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"09c9776926a36365ff1be97bfa391de70b0c0804f8b0e1f42dd681536c31d502","abstract_canon_sha256":"2baf369bd6bdea1f93fc7ffd7e8574ec75e72265295528cc9aaa834833a47b94"},"schema_version":"1.0"},"canonical_sha256":"a2905c09ef78d42e189d14a96566682624ea8fbc0cc591dd6abdd6995bd3e777","source":{"kind":"arxiv","id":"1402.3921","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.3921","created_at":"2026-05-18T02:58:55Z"},{"alias_kind":"arxiv_version","alias_value":"1402.3921v1","created_at":"2026-05-18T02:58:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3921","created_at":"2026-05-18T02:58:55Z"},{"alias_kind":"pith_short_12","alias_value":"UKIFYCPPPDKC","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UKIFYCPPPDKC4GE5","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UKIFYCPP","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:UKIFYCPPPDKC4GE5CSUWKZTIEY","target":"record","payload":{"canonical_record":{"source":{"id":"1402.3921","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-02-17T08:03:27Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"09c9776926a36365ff1be97bfa391de70b0c0804f8b0e1f42dd681536c31d502","abstract_canon_sha256":"2baf369bd6bdea1f93fc7ffd7e8574ec75e72265295528cc9aaa834833a47b94"},"schema_version":"1.0"},"canonical_sha256":"a2905c09ef78d42e189d14a96566682624ea8fbc0cc591dd6abdd6995bd3e777","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:55.160670Z","signature_b64":"naj5X+xQoifFrljuWpvSZRBzNz71rJHOyOhOIuWRHOQjtiWCSj6OZcReyMpGGVcLDWzLBa5Y5Nmx27iubrrhCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2905c09ef78d42e189d14a96566682624ea8fbc0cc591dd6abdd6995bd3e777","last_reissued_at":"2026-05-18T02:58:55.160085Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:55.160085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.3921","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":"2026-05-18T02:58:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RiJwjEntBEUkGygpJ7/BpIMv6I+pxC9wPTE0NmZYiIzE29iR3rIJrSHuHzIhVesa1uPnk+HK6HLqf4aDZghbDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T20:27:28.265963Z"},"content_sha256":"e4eda75534729cf3f81d8b36c40e6ba70f4dea36e67a9936e2037999d6489a82","schema_version":"1.0","event_id":"sha256:e4eda75534729cf3f81d8b36c40e6ba70f4dea36e67a9936e2037999d6489a82"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:UKIFYCPPPDKC4GE5CSUWKZTIEY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Improved ratio type estimator using two auxiliary variables under second order approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"prayas sharma, Rajesh Singh","submitted_at":"2014-02-17T08:03:27Z","abstract_excerpt":"In this paper, we have proposed a new Ratio Type Estimator using auxiliary information on two auxiliary variables based on Simple random sampling without replacement (SRSWOR). The proposed estimator is found to be more efficient than the estimators constructed by Olkin (1958), Singh (1965), Lu (2010) and Singh and Kumar (2012) in terms of second order mean square error."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3921","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":"2026-05-18T02:58:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rqwhFM6KB5aZjnRKtACL1TrUc9boB1sIXopEcBdVDjeXLzkpoOy5T1hr58Igxa3QWJ64J+J3fqW07AuFbcv8Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T20:27:28.266308Z"},"content_sha256":"47d91cea1f85a9055a3fe3e7521718563ed8be3328389e69f31fc548e8c3509b","schema_version":"1.0","event_id":"sha256:47d91cea1f85a9055a3fe3e7521718563ed8be3328389e69f31fc548e8c3509b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UKIFYCPPPDKC4GE5CSUWKZTIEY/bundle.json","state_url":"https://pith.science/pith/UKIFYCPPPDKC4GE5CSUWKZTIEY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UKIFYCPPPDKC4GE5CSUWKZTIEY/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":"2026-06-02T20:27:28Z","links":{"resolver":"https://pith.science/pith/UKIFYCPPPDKC4GE5CSUWKZTIEY","bundle":"https://pith.science/pith/UKIFYCPPPDKC4GE5CSUWKZTIEY/bundle.json","state":"https://pith.science/pith/UKIFYCPPPDKC4GE5CSUWKZTIEY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UKIFYCPPPDKC4GE5CSUWKZTIEY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:UKIFYCPPPDKC4GE5CSUWKZTIEY","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":"2baf369bd6bdea1f93fc7ffd7e8574ec75e72265295528cc9aaa834833a47b94","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-02-17T08:03:27Z","title_canon_sha256":"09c9776926a36365ff1be97bfa391de70b0c0804f8b0e1f42dd681536c31d502"},"schema_version":"1.0","source":{"id":"1402.3921","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.3921","created_at":"2026-05-18T02:58:55Z"},{"alias_kind":"arxiv_version","alias_value":"1402.3921v1","created_at":"2026-05-18T02:58:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3921","created_at":"2026-05-18T02:58:55Z"},{"alias_kind":"pith_short_12","alias_value":"UKIFYCPPPDKC","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UKIFYCPPPDKC4GE5","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UKIFYCPP","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:47d91cea1f85a9055a3fe3e7521718563ed8be3328389e69f31fc548e8c3509b","target":"graph","created_at":"2026-05-18T02:58:55Z","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 paper, we have proposed a new Ratio Type Estimator using auxiliary information on two auxiliary variables based on Simple random sampling without replacement (SRSWOR). The proposed estimator is found to be more efficient than the estimators constructed by Olkin (1958), Singh (1965), Lu (2010) and Singh and Kumar (2012) in terms of second order mean square error.","authors_text":"prayas sharma, Rajesh Singh","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-02-17T08:03:27Z","title":"Improved ratio type estimator using two auxiliary variables under second order approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3921","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:e4eda75534729cf3f81d8b36c40e6ba70f4dea36e67a9936e2037999d6489a82","target":"record","created_at":"2026-05-18T02:58:55Z","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":"2baf369bd6bdea1f93fc7ffd7e8574ec75e72265295528cc9aaa834833a47b94","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-02-17T08:03:27Z","title_canon_sha256":"09c9776926a36365ff1be97bfa391de70b0c0804f8b0e1f42dd681536c31d502"},"schema_version":"1.0","source":{"id":"1402.3921","kind":"arxiv","version":1}},"canonical_sha256":"a2905c09ef78d42e189d14a96566682624ea8fbc0cc591dd6abdd6995bd3e777","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a2905c09ef78d42e189d14a96566682624ea8fbc0cc591dd6abdd6995bd3e777","first_computed_at":"2026-05-18T02:58:55.160085Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:55.160085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"naj5X+xQoifFrljuWpvSZRBzNz71rJHOyOhOIuWRHOQjtiWCSj6OZcReyMpGGVcLDWzLBa5Y5Nmx27iubrrhCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:55.160670Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.3921","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e4eda75534729cf3f81d8b36c40e6ba70f4dea36e67a9936e2037999d6489a82","sha256:47d91cea1f85a9055a3fe3e7521718563ed8be3328389e69f31fc548e8c3509b"],"state_sha256":"619694653adf50d6a13c105fa091c344929c628d6c857532497ff785ea35e92f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"brkJTruClVKrPsRVE09uX5mXR+gsdaB71qiqitjWbx9XVJpzK89m78JQ+h8KC5aBelQ+N4vJwI72VQFZfvYmBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T20:27:28.268515Z","bundle_sha256":"04d80ca5d6217d1f2a84f13b1c11b683f57dc3e74acd75c98660694970aae636"}}