{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:MAU46XFKGVAMXQFHVTDPGCW3RH","short_pith_number":"pith:MAU46XFK","canonical_record":{"source":{"id":"2012.15452","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.CO","submitted_at":"2020-12-31T05:11:22Z","cross_cats_sorted":[],"title_canon_sha256":"a4b2fff28379444b2a1fbf46c0e223fd017ab31bddf7808c8ebed2c61dcb0291","abstract_canon_sha256":"90ecb19cc158da521dadd7cfca6f5a5a72dbadab62aaa2fc47cb2062d1fdacaa"},"schema_version":"1.0"},"canonical_sha256":"6029cf5caa3540cbc0a7acc6f30adb89e898aea011bd024726cd1dbba28543b6","source":{"kind":"arxiv","id":"2012.15452","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.15452","created_at":"2026-07-05T03:31:12Z"},{"alias_kind":"arxiv_version","alias_value":"2012.15452v2","created_at":"2026-07-05T03:31:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.15452","created_at":"2026-07-05T03:31:12Z"},{"alias_kind":"pith_short_12","alias_value":"MAU46XFKGVAM","created_at":"2026-07-05T03:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"MAU46XFKGVAMXQFH","created_at":"2026-07-05T03:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"MAU46XFK","created_at":"2026-07-05T03:31:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:MAU46XFKGVAMXQFHVTDPGCW3RH","target":"record","payload":{"canonical_record":{"source":{"id":"2012.15452","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.CO","submitted_at":"2020-12-31T05:11:22Z","cross_cats_sorted":[],"title_canon_sha256":"a4b2fff28379444b2a1fbf46c0e223fd017ab31bddf7808c8ebed2c61dcb0291","abstract_canon_sha256":"90ecb19cc158da521dadd7cfca6f5a5a72dbadab62aaa2fc47cb2062d1fdacaa"},"schema_version":"1.0"},"canonical_sha256":"6029cf5caa3540cbc0a7acc6f30adb89e898aea011bd024726cd1dbba28543b6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:31:12.682021Z","signature_b64":"BoVItcB7ONiFvlZ1WrHXITCkP28A4iRfJJulpl/QfStuhfLiuIpqWgm1ZdApJhYaqgUW4Th2uBGRA1UYjpgSDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6029cf5caa3540cbc0a7acc6f30adb89e898aea011bd024726cd1dbba28543b6","last_reissued_at":"2026-07-05T03:31:12.681664Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:31:12.681664Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2012.15452","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":"2026-07-05T03:31:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LsF3BhAa+RZFguTLZRys8Zh0njeHLW9+Z+EQmJVdbCX9/YqpApPyXHySt5W8dB3MkywyJgcyvV6m5EC61fHrAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T12:56:02.455971Z"},"content_sha256":"72b61ab7abc479c7be8b51dbdeb868cfa8b5dfa50b254c77ca6733ddf2665ffd","schema_version":"1.0","event_id":"sha256:72b61ab7abc479c7be8b51dbdeb868cfa8b5dfa50b254c77ca6733ddf2665ffd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:MAU46XFKGVAMXQFHVTDPGCW3RH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Controlled Accuracy Gibbs Sampling of Order Constrained Non-IID Ordered Random Variates","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.CO","authors_text":"Caleb Miller, Jem N. Corcoran","submitted_at":"2020-12-31T05:11:22Z","abstract_excerpt":"Order statistics arising from $m$ independent but not identically distributed random variables are typically constructed by arranging some $X_{1}, X_{2}, \\ldots, X_{m}$, with $X_{i}$ having distribution function $F_{i}(x)$, in increasing order denoted as $X_{(1)} \\leq X_{(2)} \\leq \\ldots \\leq X_{(m)}$. In this case, $X_{(i)}$ is not necessarily associated with $F_{i}(x)$. Assuming one can simulate values from each distribution, one can generate such \"non-iid\" order statistics by simulating $X_{i}$ from $F_{i}$, for $i=1,2,\\ldots, m$, and arranging them in order. In this paper, we consider the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.15452","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2012.15452/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T03:31:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oMWEhQ0fdfZRkNtrXha5vXruGB5jVAvMybJWfq4h4R/JXc/KLMVxGrtcGzPhpPGFNTBpvA4zNMBsWlsfBsDeCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T12:56:02.456621Z"},"content_sha256":"24ef18c1601a5315d1de69f1a1ccd5ebab826c33137818ffe222d607486b9c55","schema_version":"1.0","event_id":"sha256:24ef18c1601a5315d1de69f1a1ccd5ebab826c33137818ffe222d607486b9c55"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MAU46XFKGVAMXQFHVTDPGCW3RH/bundle.json","state_url":"https://pith.science/pith/MAU46XFKGVAMXQFHVTDPGCW3RH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MAU46XFKGVAMXQFHVTDPGCW3RH/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":"2026-07-05T12:56:02Z","links":{"resolver":"https://pith.science/pith/MAU46XFKGVAMXQFHVTDPGCW3RH","bundle":"https://pith.science/pith/MAU46XFKGVAMXQFHVTDPGCW3RH/bundle.json","state":"https://pith.science/pith/MAU46XFKGVAMXQFHVTDPGCW3RH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MAU46XFKGVAMXQFHVTDPGCW3RH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:MAU46XFKGVAMXQFHVTDPGCW3RH","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":"90ecb19cc158da521dadd7cfca6f5a5a72dbadab62aaa2fc47cb2062d1fdacaa","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.CO","submitted_at":"2020-12-31T05:11:22Z","title_canon_sha256":"a4b2fff28379444b2a1fbf46c0e223fd017ab31bddf7808c8ebed2c61dcb0291"},"schema_version":"1.0","source":{"id":"2012.15452","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.15452","created_at":"2026-07-05T03:31:12Z"},{"alias_kind":"arxiv_version","alias_value":"2012.15452v2","created_at":"2026-07-05T03:31:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.15452","created_at":"2026-07-05T03:31:12Z"},{"alias_kind":"pith_short_12","alias_value":"MAU46XFKGVAM","created_at":"2026-07-05T03:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"MAU46XFKGVAMXQFH","created_at":"2026-07-05T03:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"MAU46XFK","created_at":"2026-07-05T03:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:24ef18c1601a5315d1de69f1a1ccd5ebab826c33137818ffe222d607486b9c55","target":"graph","created_at":"2026-07-05T03:31:12Z","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/2012.15452/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Order statistics arising from $m$ independent but not identically distributed random variables are typically constructed by arranging some $X_{1}, X_{2}, \\ldots, X_{m}$, with $X_{i}$ having distribution function $F_{i}(x)$, in increasing order denoted as $X_{(1)} \\leq X_{(2)} \\leq \\ldots \\leq X_{(m)}$. In this case, $X_{(i)}$ is not necessarily associated with $F_{i}(x)$. Assuming one can simulate values from each distribution, one can generate such \"non-iid\" order statistics by simulating $X_{i}$ from $F_{i}$, for $i=1,2,\\ldots, m$, and arranging them in order. In this paper, we consider the ","authors_text":"Caleb Miller, Jem N. Corcoran","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.CO","submitted_at":"2020-12-31T05:11:22Z","title":"Controlled Accuracy Gibbs Sampling of Order Constrained Non-IID Ordered Random Variates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.15452","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":"sha256:72b61ab7abc479c7be8b51dbdeb868cfa8b5dfa50b254c77ca6733ddf2665ffd","target":"record","created_at":"2026-07-05T03:31:12Z","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":"90ecb19cc158da521dadd7cfca6f5a5a72dbadab62aaa2fc47cb2062d1fdacaa","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.CO","submitted_at":"2020-12-31T05:11:22Z","title_canon_sha256":"a4b2fff28379444b2a1fbf46c0e223fd017ab31bddf7808c8ebed2c61dcb0291"},"schema_version":"1.0","source":{"id":"2012.15452","kind":"arxiv","version":2}},"canonical_sha256":"6029cf5caa3540cbc0a7acc6f30adb89e898aea011bd024726cd1dbba28543b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6029cf5caa3540cbc0a7acc6f30adb89e898aea011bd024726cd1dbba28543b6","first_computed_at":"2026-07-05T03:31:12.681664Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:31:12.681664Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BoVItcB7ONiFvlZ1WrHXITCkP28A4iRfJJulpl/QfStuhfLiuIpqWgm1ZdApJhYaqgUW4Th2uBGRA1UYjpgSDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:31:12.682021Z","signed_message":"canonical_sha256_bytes"},"source_id":"2012.15452","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72b61ab7abc479c7be8b51dbdeb868cfa8b5dfa50b254c77ca6733ddf2665ffd","sha256:24ef18c1601a5315d1de69f1a1ccd5ebab826c33137818ffe222d607486b9c55"],"state_sha256":"2f40afc79e8965fd580991afb9f2bf8c33d1df998d7e0f4eb58930c22e2ad768"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A5nqPtHJoTRN6vjL7MrUyoreCjC8ZD6pXf3HTNSWeKxysV7El0Wc1qrNdM+6HhF7WwmAN8TcD4wohyNPUPu9AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T12:56:02.460165Z","bundle_sha256":"f5c8a7be6cb964cd315f508f5baa5de1b8798f1d7e6f1751a4599addf0c961d6"}}