{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:MJL6OHI2XTCYFRPVKRQ6RGKG66","short_pith_number":"pith:MJL6OHI2","canonical_record":{"source":{"id":"2606.02199","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-06-01T12:55:39Z","cross_cats_sorted":[],"title_canon_sha256":"5390a200ee9afbdf8cb20dd7f1773b80aa8d577a894067b10bd083697b4530ef","abstract_canon_sha256":"bb3d81797f54495c176a8e331edd8d9c2fe3ed0c899e6a66f2e34d41ec855823"},"schema_version":"1.0"},"canonical_sha256":"6257e71d1abcc582c5f55461e89946f78b04696406326f8307787b00aeecb460","source":{"kind":"arxiv","id":"2606.02199","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.02199","created_at":"2026-06-02T03:04:52Z"},{"alias_kind":"arxiv_version","alias_value":"2606.02199v1","created_at":"2026-06-02T03:04:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.02199","created_at":"2026-06-02T03:04:52Z"},{"alias_kind":"pith_short_12","alias_value":"MJL6OHI2XTCY","created_at":"2026-06-02T03:04:52Z"},{"alias_kind":"pith_short_16","alias_value":"MJL6OHI2XTCYFRPV","created_at":"2026-06-02T03:04:52Z"},{"alias_kind":"pith_short_8","alias_value":"MJL6OHI2","created_at":"2026-06-02T03:04:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:MJL6OHI2XTCYFRPVKRQ6RGKG66","target":"record","payload":{"canonical_record":{"source":{"id":"2606.02199","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-06-01T12:55:39Z","cross_cats_sorted":[],"title_canon_sha256":"5390a200ee9afbdf8cb20dd7f1773b80aa8d577a894067b10bd083697b4530ef","abstract_canon_sha256":"bb3d81797f54495c176a8e331edd8d9c2fe3ed0c899e6a66f2e34d41ec855823"},"schema_version":"1.0"},"canonical_sha256":"6257e71d1abcc582c5f55461e89946f78b04696406326f8307787b00aeecb460","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-02T03:04:52.977782Z","signature_b64":"AlqH/6Om/bA8pu2jX7qc6OVrXILuzqgJhrPB7CJziSxzxsA5vjdA4ntZ8bUV2kmSBvK7oTBbJDLo7cwLbdSYAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6257e71d1abcc582c5f55461e89946f78b04696406326f8307787b00aeecb460","last_reissued_at":"2026-06-02T03:04:52.977336Z","signature_status":"signed_v1","first_computed_at":"2026-06-02T03:04:52.977336Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.02199","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":"2026-06-02T03:04:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zpnwUW7+igxH58pKpg+cRcKEtFmrY5qiejX7w0d1RS2tYiZ77sBh1wHvGlCfaXOx3n5kAcx1n3ubrEl3wDpUCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T10:55:26.404139Z"},"content_sha256":"50c87204232f090a6cb11d71a96d94bff611eb7b3f0647ba07e233ee9f03f0c2","schema_version":"1.0","event_id":"sha256:50c87204232f090a6cb11d71a96d94bff611eb7b3f0647ba07e233ee9f03f0c2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:MJL6OHI2XTCYFRPVKRQ6RGKG66","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Contaminated Model for Overdispersed Multinomial Microbiome Count Data","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Andri\\\"ette Bekker, Antonio Punzo, Arno Otto, Ockert van Heerden, Seite Makgai","submitted_at":"2026-06-01T12:55:39Z","abstract_excerpt":"Multinomial count data, such as microbial composition profiles derived from sequencing studies, frequently contain anomalous observations that distort parameter estimates. The Dirichlet-multinomial (DM) distribution is widely used in this setting but remains sensitive to such contamination. We propose the contaminated Dirichlet-multinomial (CDM) distribution, a two-component mixture in which the regular data come from a DM component with a lower dispersion and the irregular data come from a DM component with an inflated dispersion parameter. This construction accommodates anomalies without req"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.02199","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.02199/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":"2026-06-02T03:04:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H6hVtCCgBzkis63DhBm9V36pJOvTZ6B3kMsiSEdY4cESj48DKodJFYUtnsX3I+AMjwRGDtBEChTwXSkOdYb8Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T10:55:26.404593Z"},"content_sha256":"cb0dd823fa8913d63d9b837cfa53a7a338b949f84eafe54bfb097e81abd76e05","schema_version":"1.0","event_id":"sha256:cb0dd823fa8913d63d9b837cfa53a7a338b949f84eafe54bfb097e81abd76e05"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MJL6OHI2XTCYFRPVKRQ6RGKG66/bundle.json","state_url":"https://pith.science/pith/MJL6OHI2XTCYFRPVKRQ6RGKG66/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MJL6OHI2XTCYFRPVKRQ6RGKG66/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":"2026-06-11T10:55:26Z","links":{"resolver":"https://pith.science/pith/MJL6OHI2XTCYFRPVKRQ6RGKG66","bundle":"https://pith.science/pith/MJL6OHI2XTCYFRPVKRQ6RGKG66/bundle.json","state":"https://pith.science/pith/MJL6OHI2XTCYFRPVKRQ6RGKG66/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MJL6OHI2XTCYFRPVKRQ6RGKG66/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:MJL6OHI2XTCYFRPVKRQ6RGKG66","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":"bb3d81797f54495c176a8e331edd8d9c2fe3ed0c899e6a66f2e34d41ec855823","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-06-01T12:55:39Z","title_canon_sha256":"5390a200ee9afbdf8cb20dd7f1773b80aa8d577a894067b10bd083697b4530ef"},"schema_version":"1.0","source":{"id":"2606.02199","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.02199","created_at":"2026-06-02T03:04:52Z"},{"alias_kind":"arxiv_version","alias_value":"2606.02199v1","created_at":"2026-06-02T03:04:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.02199","created_at":"2026-06-02T03:04:52Z"},{"alias_kind":"pith_short_12","alias_value":"MJL6OHI2XTCY","created_at":"2026-06-02T03:04:52Z"},{"alias_kind":"pith_short_16","alias_value":"MJL6OHI2XTCYFRPV","created_at":"2026-06-02T03:04:52Z"},{"alias_kind":"pith_short_8","alias_value":"MJL6OHI2","created_at":"2026-06-02T03:04:52Z"}],"graph_snapshots":[{"event_id":"sha256:cb0dd823fa8913d63d9b837cfa53a7a338b949f84eafe54bfb097e81abd76e05","target":"graph","created_at":"2026-06-02T03:04:52Z","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/2606.02199/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Multinomial count data, such as microbial composition profiles derived from sequencing studies, frequently contain anomalous observations that distort parameter estimates. The Dirichlet-multinomial (DM) distribution is widely used in this setting but remains sensitive to such contamination. We propose the contaminated Dirichlet-multinomial (CDM) distribution, a two-component mixture in which the regular data come from a DM component with a lower dispersion and the irregular data come from a DM component with an inflated dispersion parameter. This construction accommodates anomalies without req","authors_text":"Andri\\\"ette Bekker, Antonio Punzo, Arno Otto, Ockert van Heerden, Seite Makgai","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-06-01T12:55:39Z","title":"A Contaminated Model for Overdispersed Multinomial Microbiome Count Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.02199","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":"sha256:50c87204232f090a6cb11d71a96d94bff611eb7b3f0647ba07e233ee9f03f0c2","target":"record","created_at":"2026-06-02T03:04:52Z","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":"bb3d81797f54495c176a8e331edd8d9c2fe3ed0c899e6a66f2e34d41ec855823","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-06-01T12:55:39Z","title_canon_sha256":"5390a200ee9afbdf8cb20dd7f1773b80aa8d577a894067b10bd083697b4530ef"},"schema_version":"1.0","source":{"id":"2606.02199","kind":"arxiv","version":1}},"canonical_sha256":"6257e71d1abcc582c5f55461e89946f78b04696406326f8307787b00aeecb460","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6257e71d1abcc582c5f55461e89946f78b04696406326f8307787b00aeecb460","first_computed_at":"2026-06-02T03:04:52.977336Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T03:04:52.977336Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AlqH/6Om/bA8pu2jX7qc6OVrXILuzqgJhrPB7CJziSxzxsA5vjdA4ntZ8bUV2kmSBvK7oTBbJDLo7cwLbdSYAw==","signature_status":"signed_v1","signed_at":"2026-06-02T03:04:52.977782Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.02199","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50c87204232f090a6cb11d71a96d94bff611eb7b3f0647ba07e233ee9f03f0c2","sha256:cb0dd823fa8913d63d9b837cfa53a7a338b949f84eafe54bfb097e81abd76e05"],"state_sha256":"14aac7c57a6617746448a51c6d26d5a17ae7b7657734a55bc8954128ea126dba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kNLur5777fCxE6ChQElPVOuSouZ1lgHsGxX24MhvRcSGehlORue7QR/0CGldj7oxFkL4EYMApZXv+Wvl1M5iAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T10:55:26.407381Z","bundle_sha256":"c7f4609cbd1238f7c0f19e6e3e9263e8e0713837d339cc0fc6899f193ede64c8"}}