{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:IAHOXORJOZFC2ZO2EVHWXMJYDP","short_pith_number":"pith:IAHOXORJ","canonical_record":{"source":{"id":"1905.11009","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-05-27T07:12:17Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"bbb384bace7c570aae2d78ec10b9f3358b3a85c6480efcf02bd4fb2803ba7fad","abstract_canon_sha256":"107bbca663c7d54b36a47404a4ef3d254e0bd40ac0b0a996b090434521fe9ebd"},"schema_version":"1.0"},"canonical_sha256":"400eebba29764a2d65da254f6bb1381bc2735bfab77d95fcf02eac8364bc1a2d","source":{"kind":"arxiv","id":"1905.11009","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.11009","created_at":"2026-05-17T23:45:03Z"},{"alias_kind":"arxiv_version","alias_value":"1905.11009v1","created_at":"2026-05-17T23:45:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.11009","created_at":"2026-05-17T23:45:03Z"},{"alias_kind":"pith_short_12","alias_value":"IAHOXORJOZFC","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"IAHOXORJOZFC2ZO2","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"IAHOXORJ","created_at":"2026-05-18T12:33:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:IAHOXORJOZFC2ZO2EVHWXMJYDP","target":"record","payload":{"canonical_record":{"source":{"id":"1905.11009","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-05-27T07:12:17Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"bbb384bace7c570aae2d78ec10b9f3358b3a85c6480efcf02bd4fb2803ba7fad","abstract_canon_sha256":"107bbca663c7d54b36a47404a4ef3d254e0bd40ac0b0a996b090434521fe9ebd"},"schema_version":"1.0"},"canonical_sha256":"400eebba29764a2d65da254f6bb1381bc2735bfab77d95fcf02eac8364bc1a2d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:03.180088Z","signature_b64":"Dh5mAXN+cPzVFbuxUiC1vZaVVR2ekGURLM90OBAlDhvz1zz/TWzMlfIpTrQWS92cgGQr5GsMoA5C+5gaPBeIAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"400eebba29764a2d65da254f6bb1381bc2735bfab77d95fcf02eac8364bc1a2d","last_reissued_at":"2026-05-17T23:45:03.179691Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:03.179691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.11009","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":"2026-05-17T23:45:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qQpOvBm0C661T63wF8s+Em00lOnjL/0i39s9BDTRjy8kFn/iMaCtZ0SdJkmfqalSuTn5zGwEKi+IiC3zEkB0AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:11:40.625643Z"},"content_sha256":"48d4b4a8c1eab5f61245dc7b6952da7c5b847be96c0992659cb1bd1a643cc436","schema_version":"1.0","event_id":"sha256:48d4b4a8c1eab5f61245dc7b6952da7c5b847be96c0992659cb1bd1a643cc436"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:IAHOXORJOZFC2ZO2EVHWXMJYDP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dirichlet Simplex Nest and Geometric Inference","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"stat.ML","authors_text":"Aritra Guha, Mikhail Yurochkin, XuanLong Nguyen, Yuekai Sun","submitted_at":"2019-05-27T07:12:17Z","abstract_excerpt":"We propose Dirichlet Simplex Nest, a class of probabilistic models suitable for a variety of data types, and develop fast and provably accurate inference algorithms by accounting for the model's convex geometry and low dimensional simplicial structure. By exploiting the connection to Voronoi tessellation and properties of Dirichlet distribution, the proposed inference algorithm is shown to achieve consistency and strong error bound guarantees on a range of model settings and data distributions. The effectiveness of our model and the learning algorithm is demonstrated by simulations and by anal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.11009","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":"2026-05-17T23:45:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bOOdObRujDq8Eqt1dQRRQ7RshPbHnXblNzB0py0Dukqd8UeO45zd03x6IIfDXLmtJBk1R3KU3Lnc9d4TSFwmAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:11:40.626034Z"},"content_sha256":"6e3f60921e33b2ae1524884b0168ab0775d598c941f4d1ebf76e4153e128c6e1","schema_version":"1.0","event_id":"sha256:6e3f60921e33b2ae1524884b0168ab0775d598c941f4d1ebf76e4153e128c6e1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IAHOXORJOZFC2ZO2EVHWXMJYDP/bundle.json","state_url":"https://pith.science/pith/IAHOXORJOZFC2ZO2EVHWXMJYDP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IAHOXORJOZFC2ZO2EVHWXMJYDP/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":"2026-05-28T18:11:40Z","links":{"resolver":"https://pith.science/pith/IAHOXORJOZFC2ZO2EVHWXMJYDP","bundle":"https://pith.science/pith/IAHOXORJOZFC2ZO2EVHWXMJYDP/bundle.json","state":"https://pith.science/pith/IAHOXORJOZFC2ZO2EVHWXMJYDP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IAHOXORJOZFC2ZO2EVHWXMJYDP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:IAHOXORJOZFC2ZO2EVHWXMJYDP","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":"107bbca663c7d54b36a47404a4ef3d254e0bd40ac0b0a996b090434521fe9ebd","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-05-27T07:12:17Z","title_canon_sha256":"bbb384bace7c570aae2d78ec10b9f3358b3a85c6480efcf02bd4fb2803ba7fad"},"schema_version":"1.0","source":{"id":"1905.11009","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.11009","created_at":"2026-05-17T23:45:03Z"},{"alias_kind":"arxiv_version","alias_value":"1905.11009v1","created_at":"2026-05-17T23:45:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.11009","created_at":"2026-05-17T23:45:03Z"},{"alias_kind":"pith_short_12","alias_value":"IAHOXORJOZFC","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"IAHOXORJOZFC2ZO2","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"IAHOXORJ","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:6e3f60921e33b2ae1524884b0168ab0775d598c941f4d1ebf76e4153e128c6e1","target":"graph","created_at":"2026-05-17T23:45:03Z","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":"We propose Dirichlet Simplex Nest, a class of probabilistic models suitable for a variety of data types, and develop fast and provably accurate inference algorithms by accounting for the model's convex geometry and low dimensional simplicial structure. By exploiting the connection to Voronoi tessellation and properties of Dirichlet distribution, the proposed inference algorithm is shown to achieve consistency and strong error bound guarantees on a range of model settings and data distributions. The effectiveness of our model and the learning algorithm is demonstrated by simulations and by anal","authors_text":"Aritra Guha, Mikhail Yurochkin, XuanLong Nguyen, Yuekai Sun","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-05-27T07:12:17Z","title":"Dirichlet Simplex Nest and Geometric Inference"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.11009","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":"sha256:48d4b4a8c1eab5f61245dc7b6952da7c5b847be96c0992659cb1bd1a643cc436","target":"record","created_at":"2026-05-17T23:45:03Z","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":"107bbca663c7d54b36a47404a4ef3d254e0bd40ac0b0a996b090434521fe9ebd","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-05-27T07:12:17Z","title_canon_sha256":"bbb384bace7c570aae2d78ec10b9f3358b3a85c6480efcf02bd4fb2803ba7fad"},"schema_version":"1.0","source":{"id":"1905.11009","kind":"arxiv","version":1}},"canonical_sha256":"400eebba29764a2d65da254f6bb1381bc2735bfab77d95fcf02eac8364bc1a2d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"400eebba29764a2d65da254f6bb1381bc2735bfab77d95fcf02eac8364bc1a2d","first_computed_at":"2026-05-17T23:45:03.179691Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:03.179691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Dh5mAXN+cPzVFbuxUiC1vZaVVR2ekGURLM90OBAlDhvz1zz/TWzMlfIpTrQWS92cgGQr5GsMoA5C+5gaPBeIAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:03.180088Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.11009","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:48d4b4a8c1eab5f61245dc7b6952da7c5b847be96c0992659cb1bd1a643cc436","sha256:6e3f60921e33b2ae1524884b0168ab0775d598c941f4d1ebf76e4153e128c6e1"],"state_sha256":"60dbdd662e7fc6262e3b3125638d075899390fc67f311cafc86d9f44677b09d1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eH3XvClcKzm6JiA+tp16zPMrWhpKjcWmHE+qwSVaea2H2/2dX4LxIxvBGAg/wFWkX+ZFlvN5qLrquTt8xMg1DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T18:11:40.629460Z","bundle_sha256":"5b81e12cd3c24645720bc66ac7cc953b379323ac528f33d427b31937ee64adb6"}}