{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:C7W2NVHQFOLVDIG5A2T2GDBXOY","short_pith_number":"pith:C7W2NVHQ","canonical_record":{"source":{"id":"1902.10142","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-02-26T15:45:34Z","cross_cats_sorted":["cs.LG","stat.ME","stat.TH"],"title_canon_sha256":"a52fb8fc00ca2f91d8434108eeb93f59c07e983fcb50ddc3c3c3d90772002342","abstract_canon_sha256":"a930a566142c6bd7a02fad865ee73644b8ccc4d462ce9a41a8a3c55977907e22"},"schema_version":"1.0"},"canonical_sha256":"17eda6d4f02b9751a0dd06a7a30c37760d4f2df436f1802cfd24287646e378dc","source":{"kind":"arxiv","id":"1902.10142","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.10142","created_at":"2026-05-17T23:48:19Z"},{"alias_kind":"arxiv_version","alias_value":"1902.10142v1","created_at":"2026-05-17T23:48:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.10142","created_at":"2026-05-17T23:48:19Z"},{"alias_kind":"pith_short_12","alias_value":"C7W2NVHQFOLV","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"C7W2NVHQFOLVDIG5","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"C7W2NVHQ","created_at":"2026-05-18T12:33:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:C7W2NVHQFOLVDIG5A2T2GDBXOY","target":"record","payload":{"canonical_record":{"source":{"id":"1902.10142","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-02-26T15:45:34Z","cross_cats_sorted":["cs.LG","stat.ME","stat.TH"],"title_canon_sha256":"a52fb8fc00ca2f91d8434108eeb93f59c07e983fcb50ddc3c3c3d90772002342","abstract_canon_sha256":"a930a566142c6bd7a02fad865ee73644b8ccc4d462ce9a41a8a3c55977907e22"},"schema_version":"1.0"},"canonical_sha256":"17eda6d4f02b9751a0dd06a7a30c37760d4f2df436f1802cfd24287646e378dc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:19.901580Z","signature_b64":"rFZ7lx/9iZ5GUuR4ItSDIz5PLAx5KG9XvLYRCKOZLuqft9LGLmlkJaLuJbpqk+KabBAwMwNn3JVcbULrYcYuBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"17eda6d4f02b9751a0dd06a7a30c37760d4f2df436f1802cfd24287646e378dc","last_reissued_at":"2026-05-17T23:48:19.900862Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:19.900862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.10142","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":"2026-05-17T23:48:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CnUy8zUECE4LzxFo4/flz5cU4SeTD0eQSgSi755QHeeNsHz4mT3JTMDozac2xruu9MXZ5th9kppYTy2w5s+EAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T06:11:41.977951Z"},"content_sha256":"9109c7b826a6aead5aef4ce79355f17fcaf7261e6988237c37471fa917179275","schema_version":"1.0","event_id":"sha256:9109c7b826a6aead5aef4ce79355f17fcaf7261e6988237c37471fa917179275"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:C7W2NVHQFOLVDIG5A2T2GDBXOY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Family of Exact Goodness-of-Fit Tests for High-Dimensional Discrete Distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","stat.ME","stat.TH"],"primary_cat":"math.ST","authors_text":"Cameron E. Freer, Feras A. Saad, Nathanael L. Ackerman, Vikash K. Mansinghka","submitted_at":"2019-02-26T15:45:34Z","abstract_excerpt":"The objective of goodness-of-fit testing is to assess whether a dataset of observations is likely to have been drawn from a candidate probability distribution. This paper presents a rank-based family of goodness-of-fit tests that is specialized to discrete distributions on high-dimensional domains. The test is readily implemented using a simulation-based, linear-time procedure. The testing procedure can be customized by the practitioner using knowledge of the underlying data domain. Unlike most existing test statistics, the proposed test statistic is distribution-free and its exact (non-asympt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.10142","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":"2026-05-17T23:48:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oFzoCHeKEItFnKngyb1H2Ak1p9w0rOHzKo77nM098PtCwEdBb7zaEFCeu5/aSNuIyqZSkkC6DVBXBMp5ZLwqBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T06:11:41.978534Z"},"content_sha256":"db1a198d8cf55998f135c288e815ebe886d27162720eb300fb1f269b2815183a","schema_version":"1.0","event_id":"sha256:db1a198d8cf55998f135c288e815ebe886d27162720eb300fb1f269b2815183a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C7W2NVHQFOLVDIG5A2T2GDBXOY/bundle.json","state_url":"https://pith.science/pith/C7W2NVHQFOLVDIG5A2T2GDBXOY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C7W2NVHQFOLVDIG5A2T2GDBXOY/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":"2026-06-07T06:11:41Z","links":{"resolver":"https://pith.science/pith/C7W2NVHQFOLVDIG5A2T2GDBXOY","bundle":"https://pith.science/pith/C7W2NVHQFOLVDIG5A2T2GDBXOY/bundle.json","state":"https://pith.science/pith/C7W2NVHQFOLVDIG5A2T2GDBXOY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C7W2NVHQFOLVDIG5A2T2GDBXOY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:C7W2NVHQFOLVDIG5A2T2GDBXOY","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":"a930a566142c6bd7a02fad865ee73644b8ccc4d462ce9a41a8a3c55977907e22","cross_cats_sorted":["cs.LG","stat.ME","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-02-26T15:45:34Z","title_canon_sha256":"a52fb8fc00ca2f91d8434108eeb93f59c07e983fcb50ddc3c3c3d90772002342"},"schema_version":"1.0","source":{"id":"1902.10142","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.10142","created_at":"2026-05-17T23:48:19Z"},{"alias_kind":"arxiv_version","alias_value":"1902.10142v1","created_at":"2026-05-17T23:48:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.10142","created_at":"2026-05-17T23:48:19Z"},{"alias_kind":"pith_short_12","alias_value":"C7W2NVHQFOLV","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"C7W2NVHQFOLVDIG5","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"C7W2NVHQ","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:db1a198d8cf55998f135c288e815ebe886d27162720eb300fb1f269b2815183a","target":"graph","created_at":"2026-05-17T23:48:19Z","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":"The objective of goodness-of-fit testing is to assess whether a dataset of observations is likely to have been drawn from a candidate probability distribution. This paper presents a rank-based family of goodness-of-fit tests that is specialized to discrete distributions on high-dimensional domains. The test is readily implemented using a simulation-based, linear-time procedure. The testing procedure can be customized by the practitioner using knowledge of the underlying data domain. Unlike most existing test statistics, the proposed test statistic is distribution-free and its exact (non-asympt","authors_text":"Cameron E. Freer, Feras A. Saad, Nathanael L. Ackerman, Vikash K. Mansinghka","cross_cats":["cs.LG","stat.ME","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-02-26T15:45:34Z","title":"A Family of Exact Goodness-of-Fit Tests for High-Dimensional Discrete Distributions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.10142","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":"sha256:9109c7b826a6aead5aef4ce79355f17fcaf7261e6988237c37471fa917179275","target":"record","created_at":"2026-05-17T23:48:19Z","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":"a930a566142c6bd7a02fad865ee73644b8ccc4d462ce9a41a8a3c55977907e22","cross_cats_sorted":["cs.LG","stat.ME","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-02-26T15:45:34Z","title_canon_sha256":"a52fb8fc00ca2f91d8434108eeb93f59c07e983fcb50ddc3c3c3d90772002342"},"schema_version":"1.0","source":{"id":"1902.10142","kind":"arxiv","version":1}},"canonical_sha256":"17eda6d4f02b9751a0dd06a7a30c37760d4f2df436f1802cfd24287646e378dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"17eda6d4f02b9751a0dd06a7a30c37760d4f2df436f1802cfd24287646e378dc","first_computed_at":"2026-05-17T23:48:19.900862Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:19.900862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rFZ7lx/9iZ5GUuR4ItSDIz5PLAx5KG9XvLYRCKOZLuqft9LGLmlkJaLuJbpqk+KabBAwMwNn3JVcbULrYcYuBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:19.901580Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.10142","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9109c7b826a6aead5aef4ce79355f17fcaf7261e6988237c37471fa917179275","sha256:db1a198d8cf55998f135c288e815ebe886d27162720eb300fb1f269b2815183a"],"state_sha256":"cd654440e8e6c239560300b48647915785ef0a2bec9ceb4cd305c65644d78b38"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FvPnz2xz7C054LN2jqmNZd4jd3nvsT6xV+1xl666puAxZm9rDeMHRdiRG5vvVsOdh72EwRedLB8LLF+22yCdBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T06:11:41.981585Z","bundle_sha256":"2b1a3f91158c1ba6bdc3dd8c02eda68b70a4100711e73908226a226582db0e5d"}}