{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:HPMIWLPEF3XTQW65F32SFDZR6V","short_pith_number":"pith:HPMIWLPE","canonical_record":{"source":{"id":"1904.02064","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-04-03T15:34:20Z","cross_cats_sorted":["cs.IR","cs.LG"],"title_canon_sha256":"d2bbd419959c5e6aac2f5bae4d6be8d3450f35dbc5374c18b31f51b089936ef9","abstract_canon_sha256":"24668b3cff85220ba038d6888e1a7e11dd4254786986bfaab2bf15fba46abf55"},"schema_version":"1.0"},"canonical_sha256":"3bd88b2de42eef385bdd2ef5228f31f5765154f5c7179073ed38ff30961033ab","source":{"kind":"arxiv","id":"1904.02064","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.02064","created_at":"2026-05-17T23:49:28Z"},{"alias_kind":"arxiv_version","alias_value":"1904.02064v1","created_at":"2026-05-17T23:49:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.02064","created_at":"2026-05-17T23:49:28Z"},{"alias_kind":"pith_short_12","alias_value":"HPMIWLPEF3XT","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"HPMIWLPEF3XTQW65","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"HPMIWLPE","created_at":"2026-05-18T12:33:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:HPMIWLPEF3XTQW65F32SFDZR6V","target":"record","payload":{"canonical_record":{"source":{"id":"1904.02064","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-04-03T15:34:20Z","cross_cats_sorted":["cs.IR","cs.LG"],"title_canon_sha256":"d2bbd419959c5e6aac2f5bae4d6be8d3450f35dbc5374c18b31f51b089936ef9","abstract_canon_sha256":"24668b3cff85220ba038d6888e1a7e11dd4254786986bfaab2bf15fba46abf55"},"schema_version":"1.0"},"canonical_sha256":"3bd88b2de42eef385bdd2ef5228f31f5765154f5c7179073ed38ff30961033ab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:28.856624Z","signature_b64":"1my59Qx9YLl9p5+l6Y6fGK8SxemOV/hIXYGfCvEQNVDfmkfJoNUsKaGgCxW7hzmJSpZmPNCM7xZygy4ilFhQCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3bd88b2de42eef385bdd2ef5228f31f5765154f5c7179073ed38ff30961033ab","last_reissued_at":"2026-05-17T23:49:28.855992Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:28.855992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1904.02064","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":"2026-05-17T23:49:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XexVgS4C1pDaITS2n6hukdruQ8+xU1Ugym2wMdijDhdWb5TDpUl9f3zh1OKSUY083XIsLZcFFa0ye9n0UiQlDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T04:20:29.545786Z"},"content_sha256":"e55fc96dd607e3479a4a816b9cf9f3eaa6ef8c1a4b5d805f2e019bcccffc4e0c","schema_version":"1.0","event_id":"sha256:e55fc96dd607e3479a4a816b9cf9f3eaa6ef8c1a4b5d805f2e019bcccffc4e0c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:HPMIWLPEF3XTQW65F32SFDZR6V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Minimum Volume Topic Modeling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IR","cs.LG"],"primary_cat":"stat.ML","authors_text":"Alfred Hero, Byoungwook Jang","submitted_at":"2019-04-03T15:34:20Z","abstract_excerpt":"We propose a new topic modeling procedure that takes advantage of the fact that the Latent Dirichlet Allocation (LDA) log likelihood function is asymptotically equivalent to the logarithm of the volume of the topic simplex. This allows topic modeling to be reformulated as finding the probability simplex that minimizes its volume and encloses the documents that are represented as distributions over words. A convex relaxation of the minimum volume topic model optimization is proposed, and it is shown that the relaxed problem has the same global minimum as the original problem under the separabil"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.02064","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":"2026-05-17T23:49:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T9epEN1BkAQ1yeogdTqBMWHRCz4+RtTtWHgONL8m7ojWLhlHw2Q8LoNqFVUpd1ZdQ+PAqEqwPBbvJxdL9+jSDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T04:20:29.546150Z"},"content_sha256":"3668d98f70ea4a324fd48620e6d70af029900981f5fdc27a6a6e40d900e86826","schema_version":"1.0","event_id":"sha256:3668d98f70ea4a324fd48620e6d70af029900981f5fdc27a6a6e40d900e86826"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HPMIWLPEF3XTQW65F32SFDZR6V/bundle.json","state_url":"https://pith.science/pith/HPMIWLPEF3XTQW65F32SFDZR6V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HPMIWLPEF3XTQW65F32SFDZR6V/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":"2026-06-21T04:20:29Z","links":{"resolver":"https://pith.science/pith/HPMIWLPEF3XTQW65F32SFDZR6V","bundle":"https://pith.science/pith/HPMIWLPEF3XTQW65F32SFDZR6V/bundle.json","state":"https://pith.science/pith/HPMIWLPEF3XTQW65F32SFDZR6V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HPMIWLPEF3XTQW65F32SFDZR6V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:HPMIWLPEF3XTQW65F32SFDZR6V","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":"24668b3cff85220ba038d6888e1a7e11dd4254786986bfaab2bf15fba46abf55","cross_cats_sorted":["cs.IR","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-04-03T15:34:20Z","title_canon_sha256":"d2bbd419959c5e6aac2f5bae4d6be8d3450f35dbc5374c18b31f51b089936ef9"},"schema_version":"1.0","source":{"id":"1904.02064","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.02064","created_at":"2026-05-17T23:49:28Z"},{"alias_kind":"arxiv_version","alias_value":"1904.02064v1","created_at":"2026-05-17T23:49:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.02064","created_at":"2026-05-17T23:49:28Z"},{"alias_kind":"pith_short_12","alias_value":"HPMIWLPEF3XT","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"HPMIWLPEF3XTQW65","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"HPMIWLPE","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:3668d98f70ea4a324fd48620e6d70af029900981f5fdc27a6a6e40d900e86826","target":"graph","created_at":"2026-05-17T23:49:28Z","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"},"paper":{"abstract_excerpt":"We propose a new topic modeling procedure that takes advantage of the fact that the Latent Dirichlet Allocation (LDA) log likelihood function is asymptotically equivalent to the logarithm of the volume of the topic simplex. This allows topic modeling to be reformulated as finding the probability simplex that minimizes its volume and encloses the documents that are represented as distributions over words. A convex relaxation of the minimum volume topic model optimization is proposed, and it is shown that the relaxed problem has the same global minimum as the original problem under the separabil","authors_text":"Alfred Hero, Byoungwook Jang","cross_cats":["cs.IR","cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-04-03T15:34:20Z","title":"Minimum Volume Topic Modeling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.02064","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:e55fc96dd607e3479a4a816b9cf9f3eaa6ef8c1a4b5d805f2e019bcccffc4e0c","target":"record","created_at":"2026-05-17T23:49:28Z","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":"24668b3cff85220ba038d6888e1a7e11dd4254786986bfaab2bf15fba46abf55","cross_cats_sorted":["cs.IR","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-04-03T15:34:20Z","title_canon_sha256":"d2bbd419959c5e6aac2f5bae4d6be8d3450f35dbc5374c18b31f51b089936ef9"},"schema_version":"1.0","source":{"id":"1904.02064","kind":"arxiv","version":1}},"canonical_sha256":"3bd88b2de42eef385bdd2ef5228f31f5765154f5c7179073ed38ff30961033ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3bd88b2de42eef385bdd2ef5228f31f5765154f5c7179073ed38ff30961033ab","first_computed_at":"2026-05-17T23:49:28.855992Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:28.855992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1my59Qx9YLl9p5+l6Y6fGK8SxemOV/hIXYGfCvEQNVDfmkfJoNUsKaGgCxW7hzmJSpZmPNCM7xZygy4ilFhQCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:28.856624Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.02064","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e55fc96dd607e3479a4a816b9cf9f3eaa6ef8c1a4b5d805f2e019bcccffc4e0c","sha256:3668d98f70ea4a324fd48620e6d70af029900981f5fdc27a6a6e40d900e86826"],"state_sha256":"cda452dd5f82df0d6c21a531e353fb7c5b36c0fe0da5a4c843cc02d360763a1e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5sEMzE2fNmebELr/ACgz3mKc1mWxMth5tJr7rh/LLbxVWG0mP4kDBny7eEpw2UGCNwcBTmIeR5F+Rsfz94SODw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T04:20:29.548094Z","bundle_sha256":"b565e9146398b25a38d77f67e4523d67263daa73d305018663d711386be25a87"}}