{"as_of":"2026-08-20T07:52:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3bafe8812e5876105e38069cd110247ea6c1e965e261786f4d8e84f2c4268684","coverage":[{"denominator":33,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":33,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T13:15:54.552644Z","state":"measured"},{"denominator":34,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":34,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T12:58:15.495590Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-06T12:58:16.788990Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"cited_work":{"arxiv_id":"2411.16396","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.16396","snapshot_observed_at":"2026-08-06T12:58:16.788990Z","title":"Statistical inference for quantum singular models","venue":"quant-ph","work_id":"32e8a09e-9c0f-430f-9022-8d93f323c7d8","year":2024},"citing_paper":{"arxiv_id":"2507.21337","last_updated":"2025-07-28T21:06:45Z","snapshot_observed_at":"2026-08-18T01:27:54.942194Z","submitted_at":"2025-07-28T21:06:45Z","title":"On Quantum and Quantum-Inspired Maximum Likelihood Estimation and Filtering of Stochastic Volatility Models","version":1},"reference_index":291,"source":"pdf_text","source_observed_at":"2026-08-06T12:58:15.495590Z"},"links":{"cited_paper":"/paper/2411.16396","citing_paper":"/paper/2507.21337"},"observation_digest":"sha256:7199ecde6f4a5ea983092073b14f4b398e8d3d4283de3d6c3d00a19cb8827e07","observation_id":"1ccb47dd-8d10-440d-afe7-9101edcb40af","resolution":{"observed_at":"2026-08-06T12:58:16.876733Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2411.16396/citation-record","integrity":"/paper/2411.16396/integrity","json":"/paper/2411.16396/citation-record.json","paper":"/paper/2411.16396"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:55.283433Z","title":null,"venue":null,"work_id":"c7120316-244d-4c56-9494-c06087a2b9e0","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.228994Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:e8d1765f824b03b1abefb9c1d48f3943ab5478404fbedb58b9ebdc3bdb7378ac","observation_id":"54f2296f-566b-47c1-80c2-ec052ad1b774","resolution":{"observed_at":"2026-08-12T13:15:55.288938Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:55.260055Z","title":null,"venue":null,"work_id":"55c3ea92-5801-4d73-86a7-0374b99ae33c","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.234856Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:cbf6b52f3e065344a72bd34c6a1e32ee5d1b18ac91fe9acf04113a47572484c5","observation_id":"7fc08996-3aa1-4cc8-9a31-9ac024621096","resolution":{"observed_at":"2026-08-12T13:15:55.265671Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:55.242931Z","title":"homogeneous","venue":null,"work_id":"61ecc80e-4927-46a4-95c2-611c2cb96f7a","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.240168Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:3720112be86d65b5adbf491f817002246a27d6a152fd73b4443fd2f6be76d903","observation_id":"ee17982a-ece6-4f7b-a521-149c9133c692","resolution":{"observed_at":"2026-08-12T13:15:55.248927Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:55.222843Z","title":null,"venue":null,"work_id":"27a2bef2-a5f5-42a1-a593-6f0b55dfbf2a","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.246285Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:7621b76bf60613c9fd6c3a2b53ce11585bdc15883c510d13ff45c48bee3ad4db","observation_id":"bc5832d9-6cb9-4a09-bb51-a8e0534e5955","resolution":{"observed_at":"2026-08-12T13:15:55.228951Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:55.204239Z","title":"In particular, under Assumption R1, Assumption R2 is equivalent to Assumption S2","venue":null,"work_id":"c44ab84b-c00d-49a4-88d1-9b41922ca601","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.251390Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:19a760b8b878de3b6fe0c58e2465a0c08a910533fcad3f64649a6f08be4ae529","observation_id":"4b32e7fa-93dd-4ce3-9fb2-0a830ca7deee","resolution":{"observed_at":"2026-08-12T13:15:55.210192Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:55.186526Z","title":"Before introducing the real log canonical thresholds, let us briefly recall the results on the log resolution of singularities, originally proved by Hironaka [88, 89]","venue":null,"work_id":"8a920df5-32cd-4572-8494-ba3b5b95e63a","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.256731Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:cf884166c94b7650286644deb8116b9c6d56e6f22155a062108e418819dd6dd8","observation_id":"83eb7759-c85c-4b94-ad23-53be369f38bf","resolution":{"observed_at":"2026-08-12T13:15:55.192787Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:55.145815Z","title":null,"venue":null,"work_id":"428b85b2-ad4d-4dc8-80a0-1bfd9f413d8e","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.268130Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:911a3ed4e4b49303b496579b7738a82454a75dd727ab93bc69644dc413e6aeea","observation_id":"8b77634c-1d2a-469e-94b1-181d6341fc77","resolution":{"observed_at":"2026-08-12T13:15:55.151912Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:55.124356Z","title":"31 For our purposes, we refer to an alternative version of this theorem that is more directly applicable to our context, as Atiyah wrote [86]","venue":null,"work_id":"dd21cffa-4c1a-42ab-bc9f-922cd0be92eb","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.274728Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:1fcf939c26d58857114c2a3390cae536b106ebfddda5844471f7b91f62e200d3","observation_id":"a6a09f2e-7c6b-460a-a1c9-96b5c28d3685","resolution":{"observed_at":"2026-08-12T13:15:55.130605Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:55.104229Z","title":null,"venue":null,"work_id":"4617b181-8e35-42e8-a79f-0534ff669df4","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.280134Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:c245918fe77f5bba3bf67baf44e5275679330d4ba6f3a422e8c98531ad8347c4","observation_id":"ce7467a1-c2b2-4598-a4f3-a1991d39ba78","resolution":{"observed_at":"2026-08-12T13:15:55.110848Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:55.082786Z","title":"Moreover, if f(x)≥ 0 for any x, then the integers κ1,··· ,κd are even","venue":null,"work_id":"fc2bba7d-8608-49d2-9e25-7083bdb55708","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.285015Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:c60297841fa4e27067b949398b44740288bb68d82b61bfad262e12f7a5cdc946","observation_id":"c44450b4-da09-4999-bca5-052e3016616f","resolution":{"observed_at":"2026-08-12T13:15:55.089667Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:55.057063Z","title":null,"venue":null,"work_id":"a7b685bc-00dd-45bf-a737-fdd216762079","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.290201Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:4e1ab9819b942d175f60c62f120e8a87756bf50e51418bbd9f2672c6b608da52","observation_id":"b87d7e3e-700b-4964-bec7-c7e16a99b65a","resolution":{"observed_at":"2026-08-12T13:15:55.067453Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:55.033248Z","title":"It is known that the smallerλ is, the worse the singularity in algebraic geometry","venue":null,"work_id":"3cca2a80-1ebc-4bd8-bad1-958eac50cb89","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.438353Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:e85078df2b8a532d2bf2e5206461cf8e2761b2ec2aefa003207accae558b3597","observation_id":"6e53ff3d-08de-482e-9112-dde6a493f537","resolution":{"observed_at":"2026-08-12T13:15:55.038553Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:55.009926Z","title":null,"venue":null,"work_id":"4f4b0b0a-09d7-4e13-96f3-9eb4ade5d4f0","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.444298Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:5a258bf91db6dc43a701bb3f3d65b9c6db0d173e69371a9171eda79ce44a1835","observation_id":"8882135a-3306-4b2a-b4fe-76bf4a16f068","resolution":{"observed_at":"2026-08-12T13:15:55.018927Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:54.988840Z","title":null,"venue":null,"work_id":"89838e63-2a8f-4e81-9611-460016de54a3","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.449493Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:30a8ebd696a4b89ac2f7d2bd7096ee72f250a8cdc8640768aae6f77412fab5f6","observation_id":"cd2dc810-0cb6-482a-9c2f-813966eaf590","resolution":{"observed_at":"2026-08-12T13:15:54.994697Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:54.967772Z","title":"We denote by I := I(θ0) and J := J(θ0)","venue":null,"work_id":"56ce931f-5761-41cd-a09f-819deb30fdc3","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.454524Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:80870bf49d648482d22c373bba7e3a9f19ffd08032e07c44931becb11223d7ef","observation_id":"9b272230-ded9-4d08-bd02-0b1a43077a3b","resolution":{"observed_at":"2026-08-12T13:15:54.972928Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:54.943998Z","title":"Definition B.9","venue":null,"work_id":"68f21ba2-a59b-43c1-95e4-2ba70f8145d4","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.460787Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:641b16c6e994ed36e24d7d29ba4b8b3cd7593078b095c69f21151c35e764cb79","observation_id":"76feb433-9f14-4244-a682-9c9ac0aafde1","resolution":{"observed_at":"2026-08-12T13:15:54.950482Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:54.924224Z","title":null,"venue":null,"work_id":"ee82576d-db9f-42f3-9c25-8b72b7fa204c","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.466907Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:c0e7f7705800de3bb013a51dc682ce7886afdabfc48a616a37fb7c100a84fea1","observation_id":"f53236e3-be03-4658-9259-00d897b680ba","resolution":{"observed_at":"2026-08-12T13:15:54.930406Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:54.896652Z","title":"all models are wrong","venue":null,"work_id":"1ebf2876-bfd1-446e-aa22-665d918bdaee","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.471844Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:60ee8d2f8e36091dc5dd89c991f3ac257d5ecea9b7c476b6a31524ba23cd1959","observation_id":"4c83cbaf-7602-4461-9772-df6fb468664f","resolution":{"observed_at":"2026-08-12T13:15:54.907492Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:54.870215Z","title":null,"venue":null,"work_id":"79d66504-ec9b-4be0-9dd1-f57f1b2c3102","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.477129Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:f610761aaa62fa9cbb38e1a8b672b5063e3954bdb665a20e3b50bf3aa0a61c03","observation_id":"e6a45e8b-39ae-47a8-bb5a-d0f364e5eb86","resolution":{"observed_at":"2026-08-12T13:15:54.878484Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:54.850257Z","title":null,"venue":null,"work_id":"ea0ef593-2175-450f-a686-5e2821dd7305","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.483402Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:6272bc9c9be5afa38a301102a3ae6f7a24f3d8cfb80acd889adf5bdb7c1f27f8","observation_id":"e01e843f-4cbc-4cff-a597-882f79ea68e1","resolution":{"observed_at":"2026-08-12T13:15:54.855473Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:54.833092Z","title":"Remark C.7","venue":null,"work_id":"8bd55fd1-d741-4f5b-8c84-d968e6830bc9","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.491112Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:d739821f809f162d0a3a18c39e3bd80917f6b10c1c71fe6df986011983aa495d","observation_id":"588a9225-c50b-4907-a346-d6297322899d","resolution":{"observed_at":"2026-08-12T13:15:54.838179Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:54.814660Z","title":"In such cases, the Hessian of the KL divergence degenerates, which hinders the formulation of a learning theory in the same way as in regular cases","venue":null,"work_id":"63aa06e9-6f1a-410f-a778-97cc9c426089","year":1954},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.496483Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:6fdd87f4e0d1704aab9c46f4e03c75a7b80136d2cd4027534b853b97892482b2","observation_id":"01e7955d-9a13-4262-96f7-56b1dd31223f","resolution":{"observed_at":"2026-08-12T13:15:54.820617Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:54.795658Z","title":"In other words, λ := min i {2ki + 1 hi } , where ki and hi are defined through a log resolution of singularities Eq","venue":null,"work_id":"13901270-0d51-40a8-93de-73c66100365f","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.501873Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:377522cc67b768598f6aaae69cdb5e16f195f55fb5710eddfc9e978f98702b37","observation_id":"7b71306a-3307-437f-8c1e-8f71632e6d2c","resolution":{"observed_at":"2026-08-12T13:15:54.801399Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:54.776624Z","title":null,"venue":null,"work_id":"945b31a6-6b8a-4700-a5c0-9e56a72524e9","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.507020Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:bc9bd9a159906b992ace4a1646bd8d6d7face99daf23d8c20db735b589ca66c1","observation_id":"7f0d0258-2c24-4b39-ba66-89b93c178cf2","resolution":{"observed_at":"2026-08-12T13:15:54.782531Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:54.757068Z","title":null,"venue":null,"work_id":"b3e983c5-8307-4d45-b273-f1d2cecd4c7b","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.512866Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:10a08752c444d6b2e6ba599e5141cabf2fc61dd8ba026fd07d0624503b4c3028","observation_id":"4d8fe7b9-1a39-4977-9669-c1a8e2007b68","resolution":{"observed_at":"2026-08-12T13:15:54.762289Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:54.739603Z","title":"The origin of this is the state density formula and the Mellin transformation","venue":null,"work_id":"5cf05c9e-faa0-4c08-9d8d-3e8c8bf1bba6","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.518499Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:69fff0fc2566a008bd400bd327164c376281d10d9e5234630cb2a4f5c25fe086","observation_id":"aa36649f-e7b5-4034-ab42-772ecf0ea4f0","resolution":{"observed_at":"2026-08-12T13:15:54.745484Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:54.712143Z","title":"Note that V (ξn) is a functional of ξn because Vθ[·] depends on ξn","venue":null,"work_id":"01c2bf2e-d4c7-4a69-95e0-0a14de8cff2f","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.523278Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:dfb54695665fb5e43dd249b95c8cba55dca451a184dd90d50f3ad156dddefb4f","observation_id":"29aa5b61-8866-4450-9657-3bfd1a9b6d15","resolution":{"observed_at":"2026-08-12T13:15:54.718874Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:54.691698Z","title":null,"venue":null,"work_id":"94d6ef2a-bc82-4a6c-a52e-0ce3971a8f52","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.528720Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:3d76467fbeaa85fda043a9a1bbd845fb037fdf15e524c27c81e3eae47a890804","observation_id":"e44e5d30-b4e3-4ef2-81a9-de2b507b47cb","resolution":{"observed_at":"2026-08-12T13:15:54.698624Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:54.671709Z","title":"Now, though we omit the details of the proof here, let us state that WAIC is a generalization of AIC in the following sense","venue":null,"work_id":"205b6a09-830b-4b89-9b9a-0ec460184e2c","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.534004Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:389a364576b3a93e3dc0febe81d31efa80619ba0c27ae5f280b58fc1ac533fb5","observation_id":"f430c079-ec8a-491a-89a6-6d28adc8db44","resolution":{"observed_at":"2026-08-12T13:15:54.678457Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:54.648859Z","title":"Definition D.1","venue":null,"work_id":"53b5ba08-ee4f-4b03-b530-64d7f7b1d0b1","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.539261Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:ba0a07c806e8f429c192191acf06a3ee546d4a0ec71923b05a9e7a4b1cff26c7","observation_id":"a3c43dab-f145-44f3-a4e6-5dd5add3a547","resolution":{"observed_at":"2026-08-12T13:15:54.655190Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:54.627804Z","title":"This assumption allows us to utilize the benefits coming from the classical and quantum statistics in view of the Fisher information matrix","venue":null,"work_id":"995a88ff-2e88-4d93-bcb8-3898fdd6141b","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.546649Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:a907bd26311d3f97b1afb733385c2e994e54cd974daff4b4a37baebb49ba1db4","observation_id":"66ec114c-e962-4147-88ac-869686fd3cff","resolution":{"observed_at":"2026-08-12T13:15:54.634870Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:54.606269Z","title":"To define WAIC, one had to assume an L2 and finiteness property of the classical log-likelihood ratio function","venue":null,"work_id":"1239f96c-81b7-407b-b3c7-d82a89f4eaab","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.552644Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:40f36fde888da8ebde9256238e86b0f6352b146705f1dede6a54beb80f9e1a2b","observation_id":"9d5a20bc-d089-496b-8d03-578277c85cae","resolution":{"observed_at":"2026-08-12T13:15:54.614067Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:15:55.167956Z","title":"We present the theorem relevant to our discussion: Theorem B.1","venue":null,"work_id":"749b1c0f-4dba-4415-90f8-e104456331dc","year":null},"citing_paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-12T13:15:54.262434Z"},"links":{"citing_paper":"/paper/2411.16396"},"observation_digest":"sha256:9e933f926c8d35e3bb708aeb2fcf84ef3c4cce596f7cb6d041865f924f45af94","observation_id":"937b1c8d-23e7-4777-9b3a-71f5ad15e945","resolution":{"observed_at":"2026-08-12T13:15:55.173748Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.16396","last_updated":"2024-11-25T14:01:55Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-17T04:11:37.187197Z","submitted_at":"2024-11-25T14:01:55Z","title":"Statistical inference for quantum singular models"},"reference_resolution":{"displayed":33,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":14,"verified_exact":0,"verified_fuzzy":19},"total_outbound_references":33},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:2411.16396."}