{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:RP26E7SHNVQBRZMXAAMHAAEBWF","short_pith_number":"pith:RP26E7SH","canonical_record":{"source":{"id":"1511.07318","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"stat.ML","submitted_at":"2015-11-20T20:43:43Z","cross_cats_sorted":[],"title_canon_sha256":"edde311172c5208da54827fdf341e09c038abbc8b4f3738b21e82ff98ab35702","abstract_canon_sha256":"ae616454678db21e5044415c2cddbb53749e0bc1334fe4271551502250d21097"},"schema_version":"1.0"},"canonical_sha256":"8bf5e27e476d6018e5970018700081b171f83d54e862247b3424735ec1d54c46","source":{"kind":"arxiv","id":"1511.07318","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.07318","created_at":"2026-05-18T01:26:11Z"},{"alias_kind":"arxiv_version","alias_value":"1511.07318v1","created_at":"2026-05-18T01:26:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.07318","created_at":"2026-05-18T01:26:11Z"},{"alias_kind":"pith_short_12","alias_value":"RP26E7SHNVQB","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RP26E7SHNVQBRZMX","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RP26E7SH","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:RP26E7SHNVQBRZMXAAMHAAEBWF","target":"record","payload":{"canonical_record":{"source":{"id":"1511.07318","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"stat.ML","submitted_at":"2015-11-20T20:43:43Z","cross_cats_sorted":[],"title_canon_sha256":"edde311172c5208da54827fdf341e09c038abbc8b4f3738b21e82ff98ab35702","abstract_canon_sha256":"ae616454678db21e5044415c2cddbb53749e0bc1334fe4271551502250d21097"},"schema_version":"1.0"},"canonical_sha256":"8bf5e27e476d6018e5970018700081b171f83d54e862247b3424735ec1d54c46","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:11.687614Z","signature_b64":"Q7dxwLXsSOuCpBFmBgptG3OXPIhICh+la/HEA/w5BHfxSk6pkQHT05vAYqdenSDv5RzkTMNGkpqXfQQ4jvhHBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8bf5e27e476d6018e5970018700081b171f83d54e862247b3424735ec1d54c46","last_reissued_at":"2026-05-18T01:26:11.687044Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:11.687044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.07318","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":"2026-05-18T01:26:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"75augvXpxZMLsKuAa2RWYKR7ZjwzBWZmtqVIVQjs78b35z97EEWNJBsbIpLyuXRUlZN2vVKUHU1iP8xAzKI8Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T11:46:00.241138Z"},"content_sha256":"4760836eca6b65acacd4509cca9a1c8fd94c1362fe8345f1b45971c71f290fec","schema_version":"1.0","event_id":"sha256:4760836eca6b65acacd4509cca9a1c8fd94c1362fe8345f1b45971c71f290fec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:RP26E7SHNVQBRZMXAAMHAAEBWF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bayesian SPLDA","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.ML","authors_text":"Jes\\'us Villalba","submitted_at":"2015-11-20T20:43:43Z","abstract_excerpt":"In this document we are going to derive the equations needed to implement a Variational Bayes estimation of the parameters of the simplified probabilistic linear discriminant analysis (SPLDA) model. This can be used to adapt SPLDA from one database to another with few development data or to implement the fully Bayesian recipe. Our approach is similar to Bishop's VB PPCA."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.07318","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":"2026-05-18T01:26:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pBJleGVdrrSsLobUDWPZlPK0o99tX4sU1Q/myQbuBz8023Kr76CdopMXwDzIIbgC7oigp9Wku/Q4CxTNa/KbDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T11:46:00.241519Z"},"content_sha256":"6a8daa62ab1f9176b3ef59dedb33c1c913f52b3e426c0638a2211806f329eaf3","schema_version":"1.0","event_id":"sha256:6a8daa62ab1f9176b3ef59dedb33c1c913f52b3e426c0638a2211806f329eaf3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RP26E7SHNVQBRZMXAAMHAAEBWF/bundle.json","state_url":"https://pith.science/pith/RP26E7SHNVQBRZMXAAMHAAEBWF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RP26E7SHNVQBRZMXAAMHAAEBWF/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":"2026-06-11T11:46:00Z","links":{"resolver":"https://pith.science/pith/RP26E7SHNVQBRZMXAAMHAAEBWF","bundle":"https://pith.science/pith/RP26E7SHNVQBRZMXAAMHAAEBWF/bundle.json","state":"https://pith.science/pith/RP26E7SHNVQBRZMXAAMHAAEBWF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RP26E7SHNVQBRZMXAAMHAAEBWF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:RP26E7SHNVQBRZMXAAMHAAEBWF","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":"ae616454678db21e5044415c2cddbb53749e0bc1334fe4271551502250d21097","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"stat.ML","submitted_at":"2015-11-20T20:43:43Z","title_canon_sha256":"edde311172c5208da54827fdf341e09c038abbc8b4f3738b21e82ff98ab35702"},"schema_version":"1.0","source":{"id":"1511.07318","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.07318","created_at":"2026-05-18T01:26:11Z"},{"alias_kind":"arxiv_version","alias_value":"1511.07318v1","created_at":"2026-05-18T01:26:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.07318","created_at":"2026-05-18T01:26:11Z"},{"alias_kind":"pith_short_12","alias_value":"RP26E7SHNVQB","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RP26E7SHNVQBRZMX","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RP26E7SH","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:6a8daa62ab1f9176b3ef59dedb33c1c913f52b3e426c0638a2211806f329eaf3","target":"graph","created_at":"2026-05-18T01:26:11Z","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":"In this document we are going to derive the equations needed to implement a Variational Bayes estimation of the parameters of the simplified probabilistic linear discriminant analysis (SPLDA) model. This can be used to adapt SPLDA from one database to another with few development data or to implement the fully Bayesian recipe. Our approach is similar to Bishop's VB PPCA.","authors_text":"Jes\\'us Villalba","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"stat.ML","submitted_at":"2015-11-20T20:43:43Z","title":"Bayesian SPLDA"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.07318","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":"sha256:4760836eca6b65acacd4509cca9a1c8fd94c1362fe8345f1b45971c71f290fec","target":"record","created_at":"2026-05-18T01:26:11Z","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":"ae616454678db21e5044415c2cddbb53749e0bc1334fe4271551502250d21097","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"stat.ML","submitted_at":"2015-11-20T20:43:43Z","title_canon_sha256":"edde311172c5208da54827fdf341e09c038abbc8b4f3738b21e82ff98ab35702"},"schema_version":"1.0","source":{"id":"1511.07318","kind":"arxiv","version":1}},"canonical_sha256":"8bf5e27e476d6018e5970018700081b171f83d54e862247b3424735ec1d54c46","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8bf5e27e476d6018e5970018700081b171f83d54e862247b3424735ec1d54c46","first_computed_at":"2026-05-18T01:26:11.687044Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:11.687044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q7dxwLXsSOuCpBFmBgptG3OXPIhICh+la/HEA/w5BHfxSk6pkQHT05vAYqdenSDv5RzkTMNGkpqXfQQ4jvhHBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:11.687614Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.07318","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4760836eca6b65acacd4509cca9a1c8fd94c1362fe8345f1b45971c71f290fec","sha256:6a8daa62ab1f9176b3ef59dedb33c1c913f52b3e426c0638a2211806f329eaf3"],"state_sha256":"c1ef44921d9f038d039ddc8c50f8363dae0742ce6e68c6f6b3442c1ed6e09f7e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OYG3CkthNb+szo4U0acXEw+cEF1TVDvNvLPs9KsBse0g332b1BsLG3klwqwtLne7GYXudEwvmbdcWnvxW2DTAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T11:46:00.243523Z","bundle_sha256":"fa6ec5516217ae21d75d078dd50db4e2db06f9574e8ef33a3fb04f4570f6ceda"}}