{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:W4X4ZE6YQMKCCILJE5KQVVHJOW","short_pith_number":"pith:W4X4ZE6Y","canonical_record":{"source":{"id":"1906.09507","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-06-22T21:17:08Z","cross_cats_sorted":["math.PR","stat.TH"],"title_canon_sha256":"44d7e0b34f3038d7ea4075b0c989c2635d39e724a7e8d63c8156e33008ee2fa8","abstract_canon_sha256":"1866df7b503611628184d947ee02f96a5f11ef62898fa6455771397fcfed5d9e"},"schema_version":"1.0"},"canonical_sha256":"b72fcc93d8831421216927550ad4e975aab6a02dab912bfb88a9ded6eb0313dd","source":{"kind":"arxiv","id":"1906.09507","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.09507","created_at":"2026-07-05T04:42:28Z"},{"alias_kind":"arxiv_version","alias_value":"1906.09507v5","created_at":"2026-07-05T04:42:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.09507","created_at":"2026-07-05T04:42:28Z"},{"alias_kind":"pith_short_12","alias_value":"W4X4ZE6YQMKC","created_at":"2026-07-05T04:42:28Z"},{"alias_kind":"pith_short_16","alias_value":"W4X4ZE6YQMKCCILJ","created_at":"2026-07-05T04:42:28Z"},{"alias_kind":"pith_short_8","alias_value":"W4X4ZE6Y","created_at":"2026-07-05T04:42:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:W4X4ZE6YQMKCCILJE5KQVVHJOW","target":"record","payload":{"canonical_record":{"source":{"id":"1906.09507","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-06-22T21:17:08Z","cross_cats_sorted":["math.PR","stat.TH"],"title_canon_sha256":"44d7e0b34f3038d7ea4075b0c989c2635d39e724a7e8d63c8156e33008ee2fa8","abstract_canon_sha256":"1866df7b503611628184d947ee02f96a5f11ef62898fa6455771397fcfed5d9e"},"schema_version":"1.0"},"canonical_sha256":"b72fcc93d8831421216927550ad4e975aab6a02dab912bfb88a9ded6eb0313dd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:42:28.656944Z","signature_b64":"TuhreLAgc2iLdqI4H0f2Oho+46NxlWwzprdvfGOMjDaNQccWmQvEIW+AbqS7x+ONaFam1tfz2jj30KoVUA20DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b72fcc93d8831421216927550ad4e975aab6a02dab912bfb88a9ded6eb0313dd","last_reissued_at":"2026-07-05T04:42:28.656477Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:42:28.656477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1906.09507","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:42:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O2Z6O5XdNXywnFubFCk1lqFqb1CwJfvgBJaTkrWbNQAHb/DTgeDcmGyrh3zGM84VAKgIVsIgWYpjysk1upUPCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T14:15:27.787099Z"},"content_sha256":"f791eb86be426a7c4387b387abdc790b1aee001bb680773e42d4510c66e2ad36","schema_version":"1.0","event_id":"sha256:f791eb86be426a7c4387b387abdc790b1aee001bb680773e42d4510c66e2ad36"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:W4X4ZE6YQMKCCILJE5KQVVHJOW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local Exchangeability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","stat.TH"],"primary_cat":"math.ST","authors_text":"Chiao-Yu Yang, Michael I. Jordan, Saifuddin Syed, Tamara Broderick, Trevor Campbell","submitted_at":"2019-06-22T21:17:08Z","abstract_excerpt":"Exchangeability -- in which the distribution of an infinite sequence is invariant to reorderings of its elements -- implies the existence of a simple conditional independence structure that may be leveraged in the design of statistical models and inference procedures. In this work, we study a relaxation of exchangeability in which this invariance need not hold precisely. We introduce the notion of local exchangeability -- where swapping data associated with nearby covariates causes a bounded change in the distribution. We prove that locally exchangeable processes correspond to independent obse"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.09507","kind":"arxiv","version":5},"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/1906.09507/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":"2026-07-05T04:42:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JX4Al4Sjc5ZTqNPFXRzq9QCLr+3m6hOJeK0w6ak0YGlIY8CohmPshqdHBBdWpartqg9irC2zBxkrt2MDsYPmDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T14:15:27.787609Z"},"content_sha256":"2fd12663aa277ee0ada8f715a3414d1e40cb0a224ccbe76c49f17d1eb09b39b9","schema_version":"1.0","event_id":"sha256:2fd12663aa277ee0ada8f715a3414d1e40cb0a224ccbe76c49f17d1eb09b39b9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W4X4ZE6YQMKCCILJE5KQVVHJOW/bundle.json","state_url":"https://pith.science/pith/W4X4ZE6YQMKCCILJE5KQVVHJOW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W4X4ZE6YQMKCCILJE5KQVVHJOW/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":"2026-08-09T14:15:27Z","links":{"resolver":"https://pith.science/pith/W4X4ZE6YQMKCCILJE5KQVVHJOW","bundle":"https://pith.science/pith/W4X4ZE6YQMKCCILJE5KQVVHJOW/bundle.json","state":"https://pith.science/pith/W4X4ZE6YQMKCCILJE5KQVVHJOW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W4X4ZE6YQMKCCILJE5KQVVHJOW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:W4X4ZE6YQMKCCILJE5KQVVHJOW","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":"1866df7b503611628184d947ee02f96a5f11ef62898fa6455771397fcfed5d9e","cross_cats_sorted":["math.PR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-06-22T21:17:08Z","title_canon_sha256":"44d7e0b34f3038d7ea4075b0c989c2635d39e724a7e8d63c8156e33008ee2fa8"},"schema_version":"1.0","source":{"id":"1906.09507","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.09507","created_at":"2026-07-05T04:42:28Z"},{"alias_kind":"arxiv_version","alias_value":"1906.09507v5","created_at":"2026-07-05T04:42:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.09507","created_at":"2026-07-05T04:42:28Z"},{"alias_kind":"pith_short_12","alias_value":"W4X4ZE6YQMKC","created_at":"2026-07-05T04:42:28Z"},{"alias_kind":"pith_short_16","alias_value":"W4X4ZE6YQMKCCILJ","created_at":"2026-07-05T04:42:28Z"},{"alias_kind":"pith_short_8","alias_value":"W4X4ZE6Y","created_at":"2026-07-05T04:42:28Z"}],"graph_snapshots":[{"event_id":"sha256:2fd12663aa277ee0ada8f715a3414d1e40cb0a224ccbe76c49f17d1eb09b39b9","target":"graph","created_at":"2026-07-05T04:42:28Z","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/1906.09507/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Exchangeability -- in which the distribution of an infinite sequence is invariant to reorderings of its elements -- implies the existence of a simple conditional independence structure that may be leveraged in the design of statistical models and inference procedures. In this work, we study a relaxation of exchangeability in which this invariance need not hold precisely. We introduce the notion of local exchangeability -- where swapping data associated with nearby covariates causes a bounded change in the distribution. We prove that locally exchangeable processes correspond to independent obse","authors_text":"Chiao-Yu Yang, Michael I. Jordan, Saifuddin Syed, Tamara Broderick, Trevor Campbell","cross_cats":["math.PR","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-06-22T21:17:08Z","title":"Local Exchangeability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.09507","kind":"arxiv","version":5},"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:f791eb86be426a7c4387b387abdc790b1aee001bb680773e42d4510c66e2ad36","target":"record","created_at":"2026-07-05T04:42:28Z","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":"1866df7b503611628184d947ee02f96a5f11ef62898fa6455771397fcfed5d9e","cross_cats_sorted":["math.PR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-06-22T21:17:08Z","title_canon_sha256":"44d7e0b34f3038d7ea4075b0c989c2635d39e724a7e8d63c8156e33008ee2fa8"},"schema_version":"1.0","source":{"id":"1906.09507","kind":"arxiv","version":5}},"canonical_sha256":"b72fcc93d8831421216927550ad4e975aab6a02dab912bfb88a9ded6eb0313dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b72fcc93d8831421216927550ad4e975aab6a02dab912bfb88a9ded6eb0313dd","first_computed_at":"2026-07-05T04:42:28.656477Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:42:28.656477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TuhreLAgc2iLdqI4H0f2Oho+46NxlWwzprdvfGOMjDaNQccWmQvEIW+AbqS7x+ONaFam1tfz2jj30KoVUA20DQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:42:28.656944Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.09507","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f791eb86be426a7c4387b387abdc790b1aee001bb680773e42d4510c66e2ad36","sha256:2fd12663aa277ee0ada8f715a3414d1e40cb0a224ccbe76c49f17d1eb09b39b9"],"state_sha256":"8efd8597dbc4039cd7f4a1cec4f3e47b0f4cf7c8b00ec55be048558fd0c861e7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"twkPdaYfkKDnTPnI9Umh1zZjkm3XYHYuvGBKXUvfBAg2+0Z/oT+QtMv+xZopr7Qb1cpQTwj+VwR3wTeGRvVqAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T14:15:27.791610Z","bundle_sha256":"fcc982e6f089e026ce387ec57e89222d2e3edc60787086fa77d4b12ee465f62e"}}