{"as_of":"2026-08-17T15:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1659b5d7ff1b8914d9ef5e8b88790d940db82a061aff50c67e92ec607932e8cb","coverage":[{"denominator":300,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T04:45:36.240272Z","state":"measured"},{"denominator":100,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":100,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2608.08597/citation-record","integrity":"/paper/2608.08597/integrity","json":"/paper/2608.08597/citation-record.json","paper":"/paper/2608.08597"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.845137Z","title":"Minimax Optimal Rate for Parameter Estimation in Multivariate Deviated Models , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.845137Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:6abb170eb6e7a337a92f894a47a483e8083817e7709b6590104783b59e96c59d","observation_id":"99f5c459-4d7d-43ac-aebc-bd5c8028e54b","resolution":{"observed_at":"2026-08-14T04:45:35.845137Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.852062Z","title":"Attention is All you Need , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.852062Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:33de623d886de17aae569911e8f437bcc4a30eead91ccb915e46e146d6c2fbdc","observation_id":"5cac75bf-06a9-466b-8428-2e10d486f48f","resolution":{"observed_at":"2026-08-14T04:45:35.852062Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.855787Z","title":"On the Representation Collapse of Sparse Mixture of Experts , booktitle =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.855787Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:7e379b73be8748b6aaf3e4471a161f8e2b8b6aa25d8eb7b6cefeb65e8af93af7","observation_id":"46804b8b-796c-4c17-a777-f787a1af46ce","resolution":{"observed_at":"2026-08-14T04:45:35.855787Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.859784Z","title":"Sparse Mixers: Combining MoE and Mixing to build a more efficient","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.859784Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:b94187a2a84a60156b5d87e1a816337507e0c767d335a41d438762424cacb0b7","observation_id":"5d6f0db3-d192-4e01-9346-7e1a1bf135d3","resolution":{"observed_at":"2026-08-14T04:45:35.859784Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.863745Z","title":"Proceedings of the ICML","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.863745Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:5a058370213377f23bc8455d8d2c91356217b6d4a2a9b598651291d1722dd8f4","observation_id":"5c7196c4-6f86-42f2-ab6a-81a2837d5f3d","resolution":{"observed_at":"2026-08-14T04:45:35.863745Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.867854Z","title":"Proceedings of the ICML","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.867854Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:4c70b05ea36fc3ab8858e59db6fd866e8bfd091c1d9424b7662f5037215d501f","observation_id":"7d8ba7a1-6cb7-439e-9f62-7e56c6bd77ff","resolution":{"observed_at":"2026-08-14T04:45:35.867854Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.871959Z","title":"Advances in Neural Information Processing Systems","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.871959Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:78ec835b3c6630ae6ab6dff3d38d056f15a521cb4fb401e97243c93ef5640396","observation_id":"c305089e-406e-47e3-bc04-246890881f6e","resolution":{"observed_at":"2026-08-14T04:45:35.871959Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.02526","last_updated":"2024-02-04T15:17:09Z","snapshot_observed_at":"2026-08-16T14:21:41.211941Z","submitted_at":"2024-02-04T15:17:09Z","title":"CompeteSMoE -- Effective Training of Sparse Mixture of Experts via Competition","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.02526","snapshot_observed_at":"2026-08-14T04:45:35.876314Z","title":"arXiv preprint arXiv:2402.02526 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.876314Z"},"links":{"cited_paper":"/paper/2402.02526","citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:02e508f073e3c65e7c604a215a3f1b7f52934a05b7c939061afdd05a0327b2fe","observation_id":"1b15a1f7-6a2b-4465-a235-622ede8b8ffa","resolution":{"observed_at":"2026-08-14T04:45:35.876314Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.03029","last_updated":"2025-06-18T12:24:26Z","snapshot_observed_at":"2026-08-10T16:11:53.988251Z","submitted_at":"2025-02-05T09:31:27Z","title":"On Zero-Initialized Attention: Optimal Prompt and Gating Factor Estimation","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.03029","snapshot_observed_at":"2026-08-14T04:45:35.880142Z","title":"arXiv preprint arXiv:2502.03029 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.880142Z"},"links":{"cited_paper":"/paper/2502.03029","citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:ea7d4e36290ae05786ba056705d744d8eafe21475516ea05354310e55ebc66c5","observation_id":"eebca096-4c80-4494-ae69-876ccd51ee1a","resolution":{"observed_at":"2026-08-14T04:45:35.880142Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.00281","last_updated":"2025-05-24T02:54:56Z","snapshot_observed_at":"2026-08-14T00:39:22.575092Z","submitted_at":"2025-02-01T02:36:14Z","title":"Sigmoid Self-Attention has Lower Sample Complexity than Softmax Self-Attention: A Mixture-of-Experts Perspective","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.00281","snapshot_observed_at":"2026-08-14T04:45:35.883827Z","title":"arXiv preprint arXiv:2502.00281 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.883827Z"},"links":{"cited_paper":"/paper/2502.00281","citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:e1d7574887eef28fd92d0f803be58d4fa57026e13c18eb2ec950387c972736cb","observation_id":"8ae0351c-a04d-42bc-9f34-20c3471930ba","resolution":{"observed_at":"2026-08-14T04:45:35.883827Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.03044","last_updated":"2025-06-08T16:31:12Z","snapshot_observed_at":"2026-08-17T02:00:49.647755Z","submitted_at":"2025-02-05T10:03:09Z","title":"RepLoRA: Reparameterizing Low-Rank Adaptation via the Perspective of Mixture of Experts","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.03044","snapshot_observed_at":"2026-08-14T04:45:35.887566Z","title":"arXiv preprint arXiv:2502.03044 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.887566Z"},"links":{"cited_paper":"/paper/2502.03044","citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:abea2fd215187bf9735f7be72d077b7ac6982aeff04a22ecfeb8bb37e6a59acc","observation_id":"064c6afa-289b-44f9-84a6-d9f24e853193","resolution":{"observed_at":"2026-08-14T04:45:35.887566Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.03213","last_updated":"2025-03-05T06:11:24Z","snapshot_observed_at":"2026-08-16T12:52:58.903417Z","submitted_at":"2025-03-05T06:11:24Z","title":"Convergence Rates for Softmax Gating Mixture of Experts","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.03213","snapshot_observed_at":"2026-08-14T04:45:35.891356Z","title":"arXiv preprint arXiv:2503.03213 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.891356Z"},"links":{"cited_paper":"/paper/2503.03213","citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:fd3a0954543c8d65707e80be005839ceef9ad64f6b284a482ab7653c7dc4f12a","observation_id":"bb0f728f-4215-417b-b81f-c1f555835cbb","resolution":{"observed_at":"2026-08-14T04:45:35.891356Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.12258","last_updated":"2025-03-06T02:46:29Z","snapshot_observed_at":"2026-08-16T13:08:56.355918Z","submitted_at":"2024-10-16T05:52:51Z","title":"Understanding Expert Structures on Minimax Parameter Estimation in Contaminated Mixture of Experts","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.12258","snapshot_observed_at":"2026-08-14T04:45:35.895332Z","title":"arXiv preprint arXiv:2410.12258 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.895332Z"},"links":{"cited_paper":"/paper/2410.12258","citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:e486c3c06fed7a1a3724bed4236793ea1db6fead7db48e0c937dec2735ec7b0b","observation_id":"a7527953-9888-45ac-970f-90c711bef72f","resolution":{"observed_at":"2026-08-14T04:45:35.895332Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.11222","last_updated":"2025-07-08T22:45:25Z","snapshot_observed_at":"2026-08-16T13:09:21.053578Z","submitted_at":"2024-10-15T03:06:37Z","title":"Quadratic Gating Mixture of Experts: Statistical Insights into Self-Attention","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.11222","snapshot_observed_at":"2026-08-14T04:45:35.898723Z","title":"arXiv preprint arXiv:2410.11222 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.898723Z"},"links":{"cited_paper":"/paper/2410.11222","citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:e6237d98a426480b21e0cf11bd28a40e2672d871b56748bee45e6a3ff887a8b4","observation_id":"529eef04-d16e-4dba-9c39-8f8c23da7397","resolution":{"observed_at":"2026-08-14T04:45:35.898723Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.902955Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.902955Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:f02c98ec5f1c32ec62a23c1044a0de87f500a8b0842bbf0231b55935a305e705","observation_id":"b3dc804a-e29c-4ade-b128-72ad949d90cb","resolution":{"observed_at":"2026-08-14T04:45:35.902955Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.906681Z","title":"The Thirty-eighth Annual Conference on Neural Information Processing Systems , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.906681Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:d0315892ca279205d7dd6677d2a052fe1a43f298f7dc7ebf8cc5c69c6a7e76b7","observation_id":"14b3b11a-e500-4262-a173-0fe901b5f080","resolution":{"observed_at":"2026-08-14T04:45:35.906681Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.910136Z","title":"The Thirteenth International Conference on Learning Representations , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.910136Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:a4a279e5ed933c4c5543f982af4c835dce418ac29472c5578939b982167c2a35","observation_id":"49bef7e9-8a32-439b-b5d6-6e035e25f00a","resolution":{"observed_at":"2026-08-14T04:45:35.910136Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.913828Z","title":", journal=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.913828Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:095895300a51d0c5b082b69d6b69d81a1fcfcc60bdc75ba0eb3f54adf4542b87","observation_id":"734bd187-f225-46da-80e4-762e610ae4e0","resolution":{"observed_at":"2026-08-14T04:45:35.913828Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.917296Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.917296Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:412313fedd697b47c220af5676d5413da7d9b271aa9a832e846cca16b0113704","observation_id":"a5dc1e68-0679-4bf5-aa92-b2489cd64459","resolution":{"observed_at":"2026-08-14T04:45:35.917296Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.920882Z","title":"2024 , journal =","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.920882Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:38c2948107f652cf4b9e976cfae0857562ffa2e3a7d363c23b444e6439fc75e1","observation_id":"cce53a45-88da-4a87-8776-32de1e97de12","resolution":{"observed_at":"2026-08-14T04:45:35.920882Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.924995Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.924995Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:f4d2fdb9be0e4f85532febfeefa8ff5f183f8c5aafc2db6cd96f8b60f962ce7c","observation_id":"8a3a9d22-1c43-494d-98fd-a689af86bf65","resolution":{"observed_at":"2026-08-14T04:45:35.924995Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.14188","last_updated":"2024-06-24T04:53:09Z","snapshot_observed_at":"2026-08-16T14:50:05.169955Z","submitted_at":"2023-10-22T05:32:19Z","title":"A General Theory for Softmax Gating Multinomial Logistic Mixture of Experts","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.14188","snapshot_observed_at":"2026-08-14T04:45:35.929076Z","title":"arXiv preprint arXiv:2310.14188 , author =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.929076Z"},"links":{"cited_paper":"/paper/2310.14188","citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:c32c506992687084fcf3beb1eac704c31f3d482e8f1233cbb3a08bce10f003be","observation_id":"e97db80b-bb69-4557-a813-e739f0671a03","resolution":{"observed_at":"2026-08-14T04:45:35.929076Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.933126Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.933126Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:acb66ce67edcef8751f84d2422b8377dc2d6ef26af3450fd0b6d9a28062e27ff","observation_id":"674b17a4-aef0-4aeb-9a34-c2dbf352672a","resolution":{"observed_at":"2026-08-14T04:45:35.933126Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.937034Z","title":"Journal of Statistical Distributions and Applications , author =","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.937034Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:660b2fee63cca62e2e5ef1b4860805dbc5623502f0701b7e8f0c6ae3bb28521f","observation_id":"c5fdd5d0-6991-420a-acbb-5d36888d9051","resolution":{"observed_at":"2026-08-14T04:45:35.937034Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.941044Z","title":"International Conference on Learning Representations , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.941044Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:65a60a5eb709464197cf04cd77fffe61e45e5739eb6eb60b186e86e9cf4ce568","observation_id":"8cf875b2-57c6-446f-b577-4e96517b386c","resolution":{"observed_at":"2026-08-14T04:45:35.941044Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.944814Z","title":"The Thirteenth International Conference on Learning Representations , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.944814Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:2e82e2992c6148e3c1ec2056434f412a6733cd36eb992ea24725ff4ffbccd979","observation_id":"ffdf03d3-6a75-4f3b-bd79-529e040af8e9","resolution":{"observed_at":"2026-08-14T04:45:35.944814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.948699Z","title":"and Doan, Thanh-Nam and Liu, Chenghao and Ramasamy, Savitha and Li, Xiaoli and HOI, Steven , month = dec, year =","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.948699Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:652d6f9c8fd5e9ce898c7ddba7783ca0725de329c34ef341d63c67dd25dac95f","observation_id":"4dbdf39a-77be-4946-8ac6-57e6ee478871","resolution":{"observed_at":"2026-08-14T04:45:35.948699Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.952482Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.952482Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:364b2932f7ddede21761aca536abd9099ae7b4fd8e8a183de3acfdea5793c6cb","observation_id":"eaeb3a7b-77ef-480a-9648-d8ddec92c4a4","resolution":{"observed_at":"2026-08-14T04:45:35.952482Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.956581Z","title":"Proceedings of the","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.956581Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:0bf16eb8b84012b4c2498ef0f55ce72945e965182cfd2800ebeb0aa98a581730","observation_id":"9a318c57-bea9-42e3-a273-b89f214ab35c","resolution":{"observed_at":"2026-08-14T04:45:35.956581Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.960564Z","title":"Neural Networks , author =","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.960564Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:39d38ac17e50ce3972aa26a512e31eb1fef7da857a760e43a6a222bd155925ee","observation_id":"bc1690b5-1eca-412d-b59a-4ead953ec32b","resolution":{"observed_at":"2026-08-14T04:45:35.960564Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.964956Z","title":"Journal of the Royal Statistical Society","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.964956Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:becdde2204ac294f0b8b0ee9324474ead2a92a597e26f1eaf3cea0f84baab596","observation_id":"4a72ee48-d5b2-4fad-9662-bc40ae8efcd8","resolution":{"observed_at":"2026-08-14T04:45:35.964956Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.968991Z","title":"IEEE Transactions on Pattern Analysis and Machine Intelligence , author =","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.968991Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:c672acfaa97b01f099c5a5ec7278d1254a9c87c32beefcd92850790baf3c8534","observation_id":"0e67d46a-370d-4d41-918c-a6e06000be33","resolution":{"observed_at":"2026-08-14T04:45:35.968991Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.973253Z","title":"A regression model with a hidden logistic process for feature extraction from time series , doi =","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.973253Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:17f3d9c57b6373a15e781e0ff0b33ab4e018270888c4d8f58f5503d5197a4966","observation_id":"a3115e2f-9db3-4b3e-95af-374a3426fd7a","resolution":{"observed_at":"2026-08-14T04:45:35.973253Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.977091Z","title":"Neural Networks , author =","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.977091Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:afe4c3dfb6530b634ff799239e2267826f2dbfa97ee13cc89f305c9c881e5c54","observation_id":"a2dcdf81-11f5-4922-99ad-c5b4e00c0000","resolution":{"observed_at":"2026-08-14T04:45:35.977091Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.981016Z","title":"Estimation and feature selection in mixtures of generalized linear experts models , journal =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.981016Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:57f5dcb5cd9d5a5b2be2ecd891ac05eea99480773705ca5bbc9d4f09c7eae7eb","observation_id":"8d690554-6efb-43f8-8144-329814309cbf","resolution":{"observed_at":"2026-08-14T04:45:35.981016Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.984802Z","title":"The Annals of Applied Statistics , author =","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.984802Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:bd450e958302e2a5f3311b98d1f73e8dc2e1db0499f2e291467d5cde62e0ea1a","observation_id":"0af27c6a-8557-42cd-84e9-bcb636480274","resolution":{"observed_at":"2026-08-14T04:45:35.984802Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.988666Z","title":", editor =","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.988666Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:ded47c9a44a125c5b2da72b781ec7f9736d8438de5ca8f971604e584c5c6c6fa","observation_id":"b8edfffb-4b68-4622-8045-7666765fb1e1","resolution":{"observed_at":"2026-08-14T04:45:35.988666Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.992626Z","title":"Neural Computation , author =","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.992626Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:8d7326d844da81576cf4abee8ca4bdf0980b6b6d6c7eac5ff8bc7d05103a0080","observation_id":"a12f8c50-9dba-47d2-8224-d5e342680c6e","resolution":{"observed_at":"2026-08-14T04:45:35.992626Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:35.996806Z","title":"Information Retrieval , author =","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:35.996806Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:574e02ed89450a073ccd74f03351a5ad73423989f8dc146cd800a8e9d4e5e5e9","observation_id":"e94374c5-8d51-4d48-8d8d-2300e654aab5","resolution":{"observed_at":"2026-08-14T04:45:35.996806Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.000711Z","title":"Journal of the American Statistical Association , author =","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.000711Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:ec5e72b151f0b34a6493c4d0f740fc32b9083034a7f3ae1873f98f1904b69636","observation_id":"a7e948bb-b64f-40f5-b99a-c45dae61608f","resolution":{"observed_at":"2026-08-14T04:45:36.000711Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.004661Z","title":"Neural Networks , author =","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.004661Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:c6ed3c614bb8a37aeff720533fb92c0e94f58028256b25f23afa382eda5247a2","observation_id":"212ab6f9-4382-4dc6-a4c9-01848f890700","resolution":{"observed_at":"2026-08-14T04:45:36.004661Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.008867Z","title":"Hierarchical mixtures of experts methodology applied to continuous speech recognition , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.008867Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:05660f92c2040bb5769835b0bf0b4f079650306462e47d69ea7bf718a710e34d","observation_id":"66553dfb-7ddc-4bef-ae84-1516b5dfa5cd","resolution":{"observed_at":"2026-08-14T04:45:36.008867Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.012811Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.012811Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:ff6d14667d65f41f6bbd9a99855d5fedc65a3f837b1ae79de745965aff8cdeb5","observation_id":"42da7eb5-8f3b-452a-8b8e-2fae39d11dfa","resolution":{"observed_at":"2026-08-14T04:45:36.012811Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.016644Z","title":"Advances in","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.016644Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:364efe58632efe5df121985ca093dafd3eb96cedb290738b006fc6b84f6768be","observation_id":"acd91926-ae2c-4374-8413-1ed0c09ffaae","resolution":{"observed_at":"2026-08-14T04:45:36.016644Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.020490Z","title":", year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.020490Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:4468807a3c0b37d3a16afa50d61ba392b90d23aad691c529bbd2b0197d7e8ace","observation_id":"6461f2bf-c033-4625-92a4-cf1a8386cd83","resolution":{"observed_at":"2026-08-14T04:45:36.020490Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.024525Z","title":"and Robinson, A.J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.024525Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:c847bd6895588292896636217b98f023294e81534a66c91606ecc9784d2fd871","observation_id":"e892d07a-d93c-4b36-a0fd-2821b298cefa","resolution":{"observed_at":"2026-08-14T04:45:36.024525Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.028718Z","title":"and Dai, Andrew M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.028718Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:0c17fe89170d93c59d27846662554a76e9da3e534a58836398767c1f5bb8625f","observation_id":"927addbe-8a77-4c63-807a-763e28a3c40e","resolution":{"observed_at":"2026-08-14T04:45:36.028718Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.032630Z","title":"and Salakhutdinov, R","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.032630Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:75a36fc05ea572b5b3056c6bb2a03b6d7c1ee6136d13f3f6f515ec4a20335313","observation_id":"c34df593-2738-445f-9aa6-611ecb6c0088","resolution":{"observed_at":"2026-08-14T04:45:36.032630Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.036606Z","title":"The Annals of Statistics , author =","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.036606Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:3b0497871601c9a8ca1bf7aa8ab1fc0bfc6cde66217e33a4deedd6c313a74b5c","observation_id":"9bd7a5d2-55a4-4d92-9773-4ce6871fb2e5","resolution":{"observed_at":"2026-08-14T04:45:36.036606Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.040694Z","title":"Regularized","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.040694Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:26424ef437b96bfe2906f863e9a17c42bbd2c7d9c2a4bf29b0af3d5bfcf00905","observation_id":"17076a01-a2d0-44d8-9573-20e8347d71e1","resolution":{"observed_at":"2026-08-14T04:45:36.040694Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.044599Z","title":"Journal de la Société Française de Statistique , author =","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.044599Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:f08694cf529bb503e19d0e30746a632acdb712fca01c47905ba660f34151a387","observation_id":"7f082493-eb6c-41af-82f6-0f7d6c6690ff","resolution":{"observed_at":"2026-08-14T04:45:36.044599Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.048763Z","title":"Neurocomputing , author =","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.048763Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:2248eb3e686044130b853e84490981b7899294aafd61e70617000635963b3533","observation_id":"bd895269-a21c-4306-be85-5b352b8206a5","resolution":{"observed_at":"2026-08-14T04:45:36.048763Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.052984Z","title":"Journal of the Royal Statistical Society: Series B (Methodological) , author =","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.052984Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:d163c971f35cc2445086ae075fa7870c7ee99cf2ab83eabf06d166b191e5b5ac","observation_id":"6854cdda-428d-47ee-b116-c618145394cc","resolution":{"observed_at":"2026-08-14T04:45:36.052984Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.056685Z","title":"Electronic Journal of Statistics , author =","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.056685Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:74b9f8012427c36459e36cba20dbbf5cc221c16cc768bd0836fec607c5264d49","observation_id":"7ff49827-b9c4-4666-ac26-f82eb1fb198b","resolution":{"observed_at":"2026-08-14T04:45:36.056685Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.061001Z","title":"Chen and J","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.061001Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:26cec563a141e828ab56dbf9c4098caa2e8451af01c411c004dd2d53600d6fa8","observation_id":"660b0551-3245-472f-9fcb-011e229b28ec","resolution":{"observed_at":"2026-08-14T04:45:36.061001Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.065101Z","title":"Kasahara and K","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.065101Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:0507c60f5acc2f97185c362b92a3e82a663e7c15a268d06fb5614e1141f62c0c","observation_id":"a0feb5e4-66d4-41f9-9e35-79b0b1e569ce","resolution":{"observed_at":"2026-08-14T04:45:36.065101Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.069356Z","title":"van de Geer","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.069356Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:3088caad18015ca623d8789ccf07f0edc7000282406535b56d1d9f97e8bf9368","observation_id":"fac6b4ec-7f5d-4e99-8d19-15af2f5a2131","resolution":{"observed_at":"2026-08-14T04:45:36.069356Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.073432Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.073432Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:96a52659c40d27005fb7db901f478e80aad03cd6597ee37e5a1d23e3730256e4","observation_id":"75ce2128-bf93-447c-9149-45d75005cf00","resolution":{"observed_at":"2026-08-14T04:45:36.073432Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.077307Z","title":null,"venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.077307Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:e0f073327f79e718064abb18a2a6652562e19d79efc099a66dbc1c064ea762f2","observation_id":"b2122577-abaf-48b8-b94b-1df0a80ac908","resolution":{"observed_at":"2026-08-14T04:45:36.077307Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.081234Z","title":"Topics in Optimal Transportation","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.081234Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:28556c514ca5af3b443ad50aade6fb6ba31373d05ff3ddb211dcfece3febfe05","observation_id":"7165343f-32ac-4c89-837f-13fe25db4346","resolution":{"observed_at":"2026-08-14T04:45:36.081234Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.085346Z","title":"Optimal transport: Old and New","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.085346Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:804a9eed32801f23c0e1c3346bf8dc8f96daf1e268855937231a2dd0231d7778","observation_id":"bfa586c9-a15f-4769-82b8-89cbae9ec6f2","resolution":{"observed_at":"2026-08-14T04:45:36.085346Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.089422Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":62,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.089422Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:75fec3a6f7554ecb99fb2c56360d2f6a443f01629f9f1414dcc1af0cbff37690","observation_id":"72acb3e0-0753-4c0f-950b-b2b64aca6535","resolution":{"observed_at":"2026-08-14T04:45:36.089422Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.093269Z","title":null,"venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.093269Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:278b04835f86ff8ca5344123912b448cdd6f8e6c6b995aa144ae05e4ab6e9d2f","observation_id":"4cef7221-c61c-425e-94a4-9d3f2c7eecb1","resolution":{"observed_at":"2026-08-14T04:45:36.093269Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.097251Z","title":null,"venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":64,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.097251Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:e67e43a4829a5febc5411c8995ecdc457689deb654a55cb26e2cecd4c279172f","observation_id":"9c75dbc0-3102-4ba1-ac1c-a62568bbf6ec","resolution":{"observed_at":"2026-08-14T04:45:36.097251Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.101271Z","title":null,"venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":65,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.101271Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:8f3f63d0b364e1b35394a546cdcf505a9fd28402f57b1cc853962a743b942048","observation_id":"100d8dc7-bc51-4135-8134-13df48992baf","resolution":{"observed_at":"2026-08-14T04:45:36.101271Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.105180Z","title":null,"venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":66,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.105180Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:66a2bec6e7fa8d28ac0d8f6df97cea845f0d28e72959011494a6c936d4e10e91","observation_id":"9d8bf822-3ea8-40b0-963c-8c4b8f9a1ca8","resolution":{"observed_at":"2026-08-14T04:45:36.105180Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.109254Z","title":"Convergence rates for","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":67,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.109254Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:fbbd97328a92b21092c8b3f88a477e458545024fd8e2d1c9fb2a7107a43265ba","observation_id":"df715926-dceb-4210-b08a-185f96aef084","resolution":{"observed_at":"2026-08-14T04:45:36.109254Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.113214Z","title":"International Conference on Machine Learning , pages=","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":68,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.113214Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:a914ad453d5d840e5c45107367271a7f77f0ee85a91979514089775866a05982","observation_id":"4a480f41-a0c0-4dff-9848-14fac44902ea","resolution":{"observed_at":"2026-08-14T04:45:36.113214Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.117088Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":69,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.117088Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:242654198db53e0bc1e0bb319873fa187defa13cbd71fdfdd18abca833708135","observation_id":"e8de430e-df72-4365-b455-8a40258413b5","resolution":{"observed_at":"2026-08-14T04:45:36.117088Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.120936Z","title":"Dedecker and B","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":70,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.120936Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:647fae3e27dae8d848d91faf6aa4a25fcde0dff93b1892da90acf51073dfadbe","observation_id":"90e35f69-310b-4696-941f-333940dbcf52","resolution":{"observed_at":"2026-08-14T04:45:36.120936Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.125057Z","title":"Bickel and D","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":71,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.125057Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:7ed7700f8c0db889211c30953d789302e70fb6d90c5c1cbd7999ec78d1b2b2c4","observation_id":"96bafd3b-6242-496d-9dd5-ed83045f729b","resolution":{"observed_at":"2026-08-14T04:45:36.125057Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.129417Z","title":"del Barrio and J","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":72,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.129417Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:04fe8afde3144b21e42eb403f196a0c651907b580e5c55606149ac58b6865816","observation_id":"a2619636-a9d4-4720-a7a4-a7af747d1ae7","resolution":{"observed_at":"2026-08-14T04:45:36.129417Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.133516Z","title":null,"venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":73,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.133516Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:a0896462de4ff327a811cf0c99e6d556d4cd48801f3e6f4bbec053287e1bd253","observation_id":"8706cdc1-f7b4-4c4b-a3ed-4dd44ae0b3f5","resolution":{"observed_at":"2026-08-14T04:45:36.133516Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.137353Z","title":"Dobrushin","venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":74,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.137353Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:fb8ba11c274429fb33eca718b1e4dc9c6d7719a4506b07d1d4b8899d3f122d55","observation_id":"4940f697-04b0-451b-8b93-81bc65b2b134","resolution":{"observed_at":"2026-08-14T04:45:36.137353Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.141525Z","title":null,"venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":75,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.141525Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:e733adddb482040216da1b643c24e43282b2093d8db0e720141f7037f53acc3d","observation_id":"75b666b7-60c0-44a4-805c-89cfaf94c1fc","resolution":{"observed_at":"2026-08-14T04:45:36.141525Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.145383Z","title":"Ferraty and P","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":76,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.145383Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:49b842425fde277c3768ce08e3105b9be869a12e78e7649d17ad9ced12143e80","observation_id":"2505c494-c8f6-4c68-94dd-33b483b1d456","resolution":{"observed_at":"2026-08-14T04:45:36.145383Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.149277Z","title":null,"venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":77,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.149277Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:d34c796edb558524dd541778f730e0db551aa7e311cb94929a9f10c5feb35354","observation_id":"12dbc4f0-fe67-433d-b85f-a086d626a9f0","resolution":{"observed_at":"2026-08-14T04:45:36.149277Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.153073Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":78,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.153073Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:60d7ed569c7631dcb74295447bdbb0ecb7b9bd93bb82b52bdf012239a4acbe73","observation_id":"d532335e-1454-49c7-a296-89d5110df220","resolution":{"observed_at":"2026-08-14T04:45:36.153073Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.157162Z","title":"Abraham and P.A","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":79,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.157162Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:bb44958147760072103b0bd281bb6a1e3c5e2e144b7e08c815aefef0488042d1","observation_id":"8ee0a2d9-c185-4513-8970-dbace2ee09c6","resolution":{"observed_at":"2026-08-14T04:45:36.157162Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.161026Z","title":"Biau and L","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":80,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.161026Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:8ee09d2dd014d2bee88ce2752247ee146a61e992a28864bf784088ac442a6243","observation_id":"0b24dd89-b8fd-4d19-b38c-0c8022d03aef","resolution":{"observed_at":"2026-08-14T04:45:36.161026Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.165135Z","title":"Chiou and P.-L","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":81,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.165135Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:719f677e749bfa1a4036b434cdcb96c77a2b0d1ca3dd854dbe1cf24f5fdbd3c6","observation_id":"43b0ac44-3401-400e-aa13-42f6542ea4b9","resolution":{"observed_at":"2026-08-14T04:45:36.165135Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.169297Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":82,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.169297Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:62856a49e2af49e9f23d4d8dc50a0166475f4260017e59dfafbc5cf96b52add2","observation_id":"f8c8069e-f039-4a9e-a5bc-c828d0152e91","resolution":{"observed_at":"2026-08-14T04:45:36.169297Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.173214Z","title":"Dabo-Niang and F","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":83,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.173214Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:cbb7ad027dc0cef68b6f8f615dabee7b905cf32c0ccf5543195a7b00ae173281","observation_id":"603e8002-538d-4558-ab0a-bf0b12c079ce","resolution":{"observed_at":"2026-08-14T04:45:36.173214Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.177025Z","title":"Fraiman and A","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":84,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.177025Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:7e53cad5a78105d605ae6415de90a1aa96d55fd3f28d11bcb447fb0bab9fb458","observation_id":"b1c21845-4c53-4f8f-97ff-2c0a6f78e617","resolution":{"observed_at":"2026-08-14T04:45:36.177025Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.180711Z","title":"Fraiman and G","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":85,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.180711Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:6d7554494cba636fd683bb60855d568d2254c89581f5b7c0dbe31128278bb34c","observation_id":"6eb5d760-e47c-4cd2-bcfa-455532ac4c57","resolution":{"observed_at":"2026-08-14T04:45:36.180711Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.184311Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":86,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.184311Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:27fdcead55eb3431ba5f60c71d0e82f0aa37b1b5bd6b24545f56dbe20a3a7591","observation_id":"7f69be34-bc0e-47d8-b9cc-9686d1a42352","resolution":{"observed_at":"2026-08-14T04:45:36.184311Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.188743Z","title":"Ma and W","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":87,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.188743Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:80635374eb42fc2b26849540b5357134bcd5af565c3d28b48ac11e6f0e62e04f","observation_id":"701c56fb-d5fa-472c-be38-c73ae0e78e65","resolution":{"observed_at":"2026-08-14T04:45:36.188743Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.192520Z","title":"Tokushige and H","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":88,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.192520Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:5a32142ce18588ebb79058b04a694f2870b37d642a097683465867ec52cc35f2","observation_id":"42f957b0-feb4-4cea-a556-cb1d356019dd","resolution":{"observed_at":"2026-08-14T04:45:36.192520Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.196162Z","title":"Ishwaran and M","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":89,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.196162Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:b19d52bf2ae4ce4d1210db6f684c2d3719d47f1faf8ccc4d51fa3ab068819eb8","observation_id":"abfd1710-3939-45fc-b599-2d71b32d701f","resolution":{"observed_at":"2026-08-14T04:45:36.196162Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.200132Z","title":null,"venue":null,"work_id":null,"year":1963},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":90,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.200132Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:ca547f095c795ed62461735654c7317e1de91ff3dc066916178b352b9226a73a","observation_id":"9da013cb-d3ab-46d5-a552-19ec08d3fd11","resolution":{"observed_at":"2026-08-14T04:45:36.200132Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.203856Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":91,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.203856Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:0a1957984051d5113a9fcfedf908d8284322c97e65b6257a052abc59438b2ffe","observation_id":"c005c8dd-04a8-4e3c-ac9a-cf80a1f92d17","resolution":{"observed_at":"2026-08-14T04:45:36.203856Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.207973Z","title":"Ghosal and J","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":92,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.207973Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:149a03ee3502fa8c42ac519814e327007f10899f23ccdf92d9e266b0d4a4408c","observation_id":"7d372242-5159-4e1d-a038-e28c107a45c2","resolution":{"observed_at":"2026-08-14T04:45:36.207973Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.211863Z","title":"Barron and M","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":93,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.211863Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:9c83c6dc00db38e1dc40d386d64b0a6d875d16c04d0d0f6b72dd4e3216092a68","observation_id":"229f0ffb-585d-4e1c-a424-069b7983b183","resolution":{"observed_at":"2026-08-14T04:45:36.211863Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.215983Z","title":"Wu and S","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":94,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.215983Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:b08b85cd1101a3f9514ee566fc5f94eb9ac045ef4e240a71d57b5e2e3057bc1a","observation_id":"aa1b0f96-7133-4cab-905f-93596a338db7","resolution":{"observed_at":"2026-08-14T04:45:36.215983Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.220171Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":95,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.220171Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:9ae5c3ecab4dd6cd05b2de1754f9105e44c916c042d20c825f9fa99578d7b40b","observation_id":"5f4f0927-1e8c-4d4b-9c5d-02b55b4f5415","resolution":{"observed_at":"2026-08-14T04:45:36.220171Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.224273Z","title":"Winn and A","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":96,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.224273Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:617b646efd3cd1a10eec78bff2a7f5a1e02fc3cf2f3fba5c98a6c0a15ddde4ad","observation_id":"ffef9f26-245b-4f49-bb59-ad779c870085","resolution":{"observed_at":"2026-08-14T04:45:36.224273Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.228121Z","title":"Brumback and J","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":97,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.228121Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:59f1f857f6316539d62c5a117086a2fc0cd9472a79cf3ed09a03fe4adcb385fd","observation_id":"c92ff2f3-f72c-47fe-abe0-1d2aa8a87766","resolution":{"observed_at":"2026-08-14T04:45:36.228121Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.232311Z","title":"Sudderth and A","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":98,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.232311Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:520affd1582b06437ad9fec7af81a75d4c01274b684511feadfa5d8ea3d3ec14","observation_id":"b29d09fd-daa9-4550-89eb-ff2a7e224107","resolution":{"observed_at":"2026-08-14T04:45:36.232311Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.236321Z","title":"Pritchard and M","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":99,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.236321Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:40b26e3d53c8517addf611f6e5978acaf47d515b69f3eb1c9f405fc5d78fd10a","observation_id":"5a20b0b2-2aa4-425e-9673-366dc1286a9e","resolution":{"observed_at":"2026-08-14T04:45:36.236321Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:45:36.240272Z","title":"DeIorio and P","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models","version":1},"reference_index":100,"source":"arxiv_source","source_observed_at":"2026-08-14T04:45:36.240272Z"},"links":{"citing_paper":"/paper/2608.08597"},"observation_digest":"sha256:2f977397deb496aff3cbe49e4b02f529449331cfe680b5366842c7b0617056f8","observation_id":"2ed12963-3c54-48b3-aae9-a01233d3275b","resolution":{"observed_at":"2026-08-14T04:45:36.240272Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2608.08597","last_updated":"2026-08-09T09:22:27Z","latest_version":1,"primary_category":"math.ST","snapshot_observed_at":"2026-08-16T19:17:08.283794Z","submitted_at":"2026-08-09T09:22:27Z","title":"Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":100,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":300},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 100 of 300 outbound references and 0 inbound Pith citation observations for arXiv:2608.08597."}