{"as_of":"2026-08-20T23:57:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:04f5fa62c3b22f55a7f85814c45b63804095002d06ffbf9a5f9da36e6fa18dda","coverage":[{"denominator":22,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":22,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T04:54:42.614039Z","state":"measured"},{"denominator":22,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":22,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+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/2608.08423/citation-record","integrity":"/paper/2608.08423/integrity","json":"/paper/2608.08423/citation-record.json","paper":"/paper/2608.08423"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:54:42.945438Z","title":null,"venue":null,"work_id":"a8aa521f-4986-47d0-9b90-f722fd363103","year":2021},"citing_paper":{"arxiv_id":"2608.08423","last_updated":"2026-08-09T02:43:57Z","snapshot_observed_at":"2026-08-19T22:59:20.797822Z","submitted_at":"2026-08-09T02:43:57Z","title":"Sharp Endpoint Eigenfunction Estimates for the Two-Dimensional Hermite Operator","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T04:54:42.522421Z"},"links":{"citing_paper":"/paper/2608.08423"},"observation_digest":"sha256:8db4a6a79663e8f41f18d7034e778bb4ba31add01d356a169e493e613a8b8f92","observation_id":"7ff24840-ec18-445c-8f7c-91d7011f7f4a","resolution":{"observed_at":"2026-08-14T04:54:42.950209Z","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":"2026-08-14T04:54:42.933118Z","title":null,"venue":null,"work_id":"660ee6d6-9657-444f-931c-c97e54d9057f","year":2020},"citing_paper":{"arxiv_id":"2608.08423","last_updated":"2026-08-09T02:43:57Z","snapshot_observed_at":"2026-08-19T22:59:20.797822Z","submitted_at":"2026-08-09T02:43:57Z","title":"Sharp Endpoint Eigenfunction Estimates for the Two-Dimensional Hermite Operator","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T04:54:42.528542Z"},"links":{"citing_paper":"/paper/2608.08423"},"observation_digest":"sha256:5e5e58dab0ef5e88626e0826edb13b2e30bb02165799d94f17f10be20cb4182f","observation_id":"3993d5a2-76e7-4484-a7d0-60f85801d255","resolution":{"observed_at":"2026-08-14T04:54:42.937383Z","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":"2026-08-14T04:54:42.909421Z","title":null,"venue":null,"work_id":"59f516da-a9da-462c-af32-7121fa609fb6","year":2022},"citing_paper":{"arxiv_id":"2608.08423","last_updated":"2026-08-09T02:43:57Z","snapshot_observed_at":"2026-08-19T22:59:20.797822Z","submitted_at":"2026-08-09T02:43:57Z","title":"Sharp Endpoint Eigenfunction Estimates for the Two-Dimensional Hermite Operator","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T04:54:42.533117Z"},"links":{"citing_paper":"/paper/2608.08423"},"observation_digest":"sha256:2043f4e3df31eaa4d7568853174bcd97e5345857f3cc9b8d2b82d27d973f9748","observation_id":"eed4f166-faa9-4f84-866f-d49a60aa75c3","resolution":{"observed_at":"2026-08-14T04:54:42.917239Z","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":"2026-08-14T04:54:42.893643Z","title":null,"venue":null,"work_id":"bf81f852-1775-4f3b-82ee-ad0ce699096b","year":2023},"citing_paper":{"arxiv_id":"2608.08423","last_updated":"2026-08-09T02:43:57Z","snapshot_observed_at":"2026-08-19T22:59:20.797822Z","submitted_at":"2026-08-09T02:43:57Z","title":"Sharp Endpoint Eigenfunction Estimates for the Two-Dimensional Hermite Operator","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T04:54:42.537309Z"},"links":{"citing_paper":"/paper/2608.08423"},"observation_digest":"sha256:f73491d88d798c2311e0be501479e51b858f8783839fd941264c7db443eb9d53","observation_id":"33127144-302a-4639-80fc-b685b6e575dd","resolution":{"observed_at":"2026-08-14T04:54:42.898138Z","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":"2026-08-14T04:54:42.879159Z","title":"Escauriaza,Carleman inequalities and the heat operator, Duke Math","venue":null,"work_id":"176dc79a-15e8-4bac-a534-fb399501fbfb","year":2000},"citing_paper":{"arxiv_id":"2608.08423","last_updated":"2026-08-09T02:43:57Z","snapshot_observed_at":"2026-08-19T22:59:20.797822Z","submitted_at":"2026-08-09T02:43:57Z","title":"Sharp Endpoint Eigenfunction Estimates for the Two-Dimensional Hermite Operator","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T04:54:42.542006Z"},"links":{"citing_paper":"/paper/2608.08423"},"observation_digest":"sha256:d3940fd0f5bb06ba3024ffe2b5ebe63237a5a60fea8573567641f9c73bbabf56","observation_id":"fbf1ac94-0dee-41b3-9184-34e0ed5cc886","resolution":{"observed_at":"2026-08-14T04:54:42.884117Z","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":"2026-08-14T04:54:42.864418Z","title":"Escauriaza and L","venue":null,"work_id":"e5cfea02-b04c-4ae2-b207-47436ee11017","year":2001},"citing_paper":{"arxiv_id":"2608.08423","last_updated":"2026-08-09T02:43:57Z","snapshot_observed_at":"2026-08-19T22:59:20.797822Z","submitted_at":"2026-08-09T02:43:57Z","title":"Sharp Endpoint Eigenfunction Estimates for the Two-Dimensional Hermite Operator","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T04:54:42.546326Z"},"links":{"citing_paper":"/paper/2608.08423"},"observation_digest":"sha256:11b31f8698c2fe3617000e726b7bd033f7d7680c351c2e879e96dd623be204f0","observation_id":"f4c042fd-d529-47d2-b14c-0ea4d11dec2a","resolution":{"observed_at":"2026-08-14T04:54:42.868865Z","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":"2026-08-14T04:54:42.851439Z","title":"Grafakos,Classical Fourier Analysis, third edition, Graduate Texts in Mathematics, Vol","venue":null,"work_id":"c845f116-9b9e-450c-8916-db5e0e8cc81c","year":2014},"citing_paper":{"arxiv_id":"2608.08423","last_updated":"2026-08-09T02:43:57Z","snapshot_observed_at":"2026-08-19T22:59:20.797822Z","submitted_at":"2026-08-09T02:43:57Z","title":"Sharp Endpoint Eigenfunction Estimates for the Two-Dimensional Hermite Operator","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T04:54:42.550763Z"},"links":{"citing_paper":"/paper/2608.08423"},"observation_digest":"sha256:b50089f5eaff5a8fde8c9699fa8452f3de84477f6515cebbf1ab5c0aeed7c692","observation_id":"d4fc73f4-fa9a-47b0-9ce6-972340746ddf","resolution":{"observed_at":"2026-08-14T04:54:42.855832Z","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":"2026-08-14T04:54:42.838382Z","title":null,"venue":null,"work_id":"0edad375-0448-4ebe-a9c1-6ad7c1836773","year":1991},"citing_paper":{"arxiv_id":"2608.08423","last_updated":"2026-08-09T02:43:57Z","snapshot_observed_at":"2026-08-19T22:59:20.797822Z","submitted_at":"2026-08-09T02:43:57Z","title":"Sharp Endpoint Eigenfunction Estimates for the Two-Dimensional Hermite Operator","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T04:54:42.554633Z"},"links":{"citing_paper":"/paper/2608.08423"},"observation_digest":"sha256:54af567635b3edb79b7235bbe7ce0ac22bbbb802415847ed5824b354aeee2fb9","observation_id":"c44fc672-1b95-4c95-b8c7-0772c55f2053","resolution":{"observed_at":"2026-08-14T04:54:42.842626Z","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":"2026-08-14T04:54:42.825270Z","title":"Jeong, S","venue":null,"work_id":"4f428d6a-ddbd-4b06-bdb9-bba31d3241f2","year":2026},"citing_paper":{"arxiv_id":"2608.08423","last_updated":"2026-08-09T02:43:57Z","snapshot_observed_at":"2026-08-19T22:59:20.797822Z","submitted_at":"2026-08-09T02:43:57Z","title":"Sharp Endpoint Eigenfunction Estimates for the Two-Dimensional Hermite Operator","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T04:54:42.558510Z"},"links":{"citing_paper":"/paper/2608.08423"},"observation_digest":"sha256:fb6e650145f3583243b2d1b05176eab55298f6c63275fb9f760fab2db06d216c","observation_id":"d37de014-565a-47f0-83d0-ce33d221328a","resolution":{"observed_at":"2026-08-14T04:54:42.830066Z","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":{"arxiv_id":"2607.25859","last_updated":"2026-07-28T15:28:50Z","snapshot_observed_at":"2026-08-20T11:13:22.944385Z","submitted_at":"2026-07-28T15:28:50Z","title":"The Endpoint Eigenfunction Bound for the Hermite Operator in Two Dimensions","version":1},"cited_work":{"arxiv_id":"2607.25859","doi":null,"metadata_source":"pith","pith_arxiv_id":"2607.25859","snapshot_observed_at":"2026-08-14T04:54:42.647340Z","title":"The Endpoint Eigenfunction Bound for the Hermite Operator in Two Dimensions","venue":"math.CA","work_id":"16e37ef7-719e-46ed-9db0-8cd12297cbe5","year":2026},"citing_paper":{"arxiv_id":"2608.08423","last_updated":"2026-08-09T02:43:57Z","snapshot_observed_at":"2026-08-19T22:59:20.797822Z","submitted_at":"2026-08-09T02:43:57Z","title":"Sharp Endpoint Eigenfunction Estimates for the Two-Dimensional Hermite Operator","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T04:54:42.562465Z"},"links":{"cited_paper":"/paper/2607.25859","citing_paper":"/paper/2608.08423"},"observation_digest":"sha256:ffeae870c682abb0ac01cfe994e75d9a69a872b0ebb464e7070b9f742934e202","observation_id":"417b52f5-bb6a-4562-ba21-af5dcec3913b","resolution":{"observed_at":"2026-08-14T04:54:42.653918Z","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:54:42.809056Z","title":null,"venue":null,"work_id":"f6d0b39e-e7a4-43e2-b766-3885a68e0df1","year":1994},"citing_paper":{"arxiv_id":"2608.08423","last_updated":"2026-08-09T02:43:57Z","snapshot_observed_at":"2026-08-19T22:59:20.797822Z","submitted_at":"2026-08-09T02:43:57Z","title":"Sharp Endpoint Eigenfunction Estimates for the Two-Dimensional Hermite Operator","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T04:54:42.566926Z"},"links":{"citing_paper":"/paper/2608.08423"},"observation_digest":"sha256:69f98139a6943083a588845c30cbf80c01ed114ee4f740e0995c5bacdaa83057","observation_id":"d52901a5-c2ef-4e08-8af3-9c81bcc2402f","resolution":{"observed_at":"2026-08-14T04:54:42.814190Z","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":"2026-08-14T04:54:42.796293Z","title":"Koch and D","venue":null,"work_id":"f1a2bb26-1543-4176-bad4-65e2a7a93b47","year":2005},"citing_paper":{"arxiv_id":"2608.08423","last_updated":"2026-08-09T02:43:57Z","snapshot_observed_at":"2026-08-19T22:59:20.797822Z","submitted_at":"2026-08-09T02:43:57Z","title":"Sharp Endpoint Eigenfunction Estimates for the Two-Dimensional Hermite Operator","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T04:54:42.571226Z"},"links":{"citing_paper":"/paper/2608.08423"},"observation_digest":"sha256:f64fe2d41197b9690c70d6fc797299362e9ea8bbcb74842166f2b341da8f29c0","observation_id":"6db3ca42-f086-4746-b188-3512b4c84cdc","resolution":{"observed_at":"2026-08-14T04:54:42.800302Z","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":"2026-08-14T04:54:42.783754Z","title":"Koch and D","venue":null,"work_id":"e089632b-5878-4de4-8dbb-6cf90c16a2aa","year":2009},"citing_paper":{"arxiv_id":"2608.08423","last_updated":"2026-08-09T02:43:57Z","snapshot_observed_at":"2026-08-19T22:59:20.797822Z","submitted_at":"2026-08-09T02:43:57Z","title":"Sharp Endpoint Eigenfunction Estimates for the Two-Dimensional Hermite Operator","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T04:54:42.575295Z"},"links":{"citing_paper":"/paper/2608.08423"},"observation_digest":"sha256:38315ac7e1002caf8637f5d5d605718f70e5310b5abbc169d932a9f481a3a636","observation_id":"1f9d19df-e42a-41c4-a15f-c6187f0e2d26","resolution":{"observed_at":"2026-08-14T04:54:42.788044Z","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":"2026-08-14T04:54:42.770467Z","title":"Lee and J","venue":null,"work_id":"8d8e485b-2f92-489d-a426-db4a8b7fa005","year":2022},"citing_paper":{"arxiv_id":"2608.08423","last_updated":"2026-08-09T02:43:57Z","snapshot_observed_at":"2026-08-19T22:59:20.797822Z","submitted_at":"2026-08-09T02:43:57Z","title":"Sharp Endpoint Eigenfunction Estimates for the Two-Dimensional Hermite Operator","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T04:54:42.579577Z"},"links":{"citing_paper":"/paper/2608.08423"},"observation_digest":"sha256:8a0b407a76515b38b20de3b5f0a20257f321317db5dc333bc1806104c6010c80","observation_id":"ff39a15c-7e78-46ef-bd92-ec95729a1d55","resolution":{"observed_at":"2026-08-14T04:54:42.774935Z","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":"2026-08-14T04:54:42.757498Z","title":"Markett,Norm estimates for(C,δ )means of Hermite expansions and bounds for δeff, Acta Math","venue":null,"work_id":"43906d51-2c16-4dae-a9c7-baeaffa5f3ea","year":1984},"citing_paper":{"arxiv_id":"2608.08423","last_updated":"2026-08-09T02:43:57Z","snapshot_observed_at":"2026-08-19T22:59:20.797822Z","submitted_at":"2026-08-09T02:43:57Z","title":"Sharp Endpoint Eigenfunction Estimates for the Two-Dimensional Hermite Operator","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T04:54:42.583743Z"},"links":{"citing_paper":"/paper/2608.08423"},"observation_digest":"sha256:6804ea75f7d12295c368adb1e94d2fd8795074beb9730ee03423fb448eeafe8e","observation_id":"8bcccb5c-811a-48e3-a85c-46bf2c4474e0","resolution":{"observed_at":"2026-08-14T04:54:42.761808Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:54:42.588432Z","title":null,"venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2608.08423","last_updated":"2026-08-09T02:43:57Z","snapshot_observed_at":"2026-08-19T22:59:20.797822Z","submitted_at":"2026-08-09T02:43:57Z","title":"Sharp Endpoint Eigenfunction Estimates for the Two-Dimensional Hermite Operator","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T04:54:42.588432Z"},"links":{"citing_paper":"/paper/2608.08423"},"observation_digest":"sha256:86934720fdeece93b8a01c477ec6f3ad4b3daee45ee73611914cee0c74d20496","observation_id":"6e71fae4-c0d6-4692-83c4-93850d5b73ea","resolution":{"observed_at":"2026-08-14T04:54:42.588432Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:54:42.732390Z","title":null,"venue":null,"work_id":"03c8ad48-de46-4dbe-9557-8cf297dd7f6e","year":1961},"citing_paper":{"arxiv_id":"2608.08423","last_updated":"2026-08-09T02:43:57Z","snapshot_observed_at":"2026-08-19T22:59:20.797822Z","submitted_at":"2026-08-09T02:43:57Z","title":"Sharp Endpoint Eigenfunction Estimates for the Two-Dimensional Hermite Operator","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T04:54:42.593483Z"},"links":{"citing_paper":"/paper/2608.08423"},"observation_digest":"sha256:aa24e1a96c52d36b25e36c4d83217584a26a7b76314960300e270c61a3b7adba","observation_id":"46614b47-3487-42aa-95ed-8f91cf76b955","resolution":{"observed_at":"2026-08-14T04:54:42.736476Z","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":"2026-08-14T04:54:42.718515Z","title":"Szegő,Orthogonal Polynomials, fourth edition, AMS Colloquium Publications, Vol","venue":null,"work_id":"02a1f97b-e25e-4899-b1b2-8c47e0f36f31","year":1975},"citing_paper":{"arxiv_id":"2608.08423","last_updated":"2026-08-09T02:43:57Z","snapshot_observed_at":"2026-08-19T22:59:20.797822Z","submitted_at":"2026-08-09T02:43:57Z","title":"Sharp Endpoint Eigenfunction Estimates for the Two-Dimensional Hermite Operator","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T04:54:42.597466Z"},"links":{"citing_paper":"/paper/2608.08423"},"observation_digest":"sha256:7bd2c3fdd578dfdca9c540ec1cc7cc3b1cb11cc65d7b9a69dae5a7fc7be5d184","observation_id":"60ca834b-4419-4934-b478-40bc8a3d26ac","resolution":{"observed_at":"2026-08-14T04:54:42.723231Z","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":"2026-08-14T04:54:42.704962Z","title":"Thangavelu,Multipliers for Hermite expansions, Rev","venue":null,"work_id":"50068ddc-12a6-43da-979b-a7c6f6949eea","year":1987},"citing_paper":{"arxiv_id":"2608.08423","last_updated":"2026-08-09T02:43:57Z","snapshot_observed_at":"2026-08-19T22:59:20.797822Z","submitted_at":"2026-08-09T02:43:57Z","title":"Sharp Endpoint Eigenfunction Estimates for the Two-Dimensional Hermite Operator","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T04:54:42.601452Z"},"links":{"citing_paper":"/paper/2608.08423"},"observation_digest":"sha256:032ee0696358df390798fcfef86fd3e0bb3a5ab7c1d0ce89cf12a14516365bf1","observation_id":"4a5b23be-2401-4ee1-be8a-4fdd98795872","resolution":{"observed_at":"2026-08-14T04:54:42.709322Z","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":"2026-08-14T04:54:42.691857Z","title":"Thangavelu,Lectures on Hermite and Laguerre Expansions, Mathematical Notes, Vol","venue":null,"work_id":"4e8ca7fa-fd8d-41d1-9566-2602a66eca91","year":1993},"citing_paper":{"arxiv_id":"2608.08423","last_updated":"2026-08-09T02:43:57Z","snapshot_observed_at":"2026-08-19T22:59:20.797822Z","submitted_at":"2026-08-09T02:43:57Z","title":"Sharp Endpoint Eigenfunction Estimates for the Two-Dimensional Hermite Operator","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T04:54:42.605480Z"},"links":{"citing_paper":"/paper/2608.08423"},"observation_digest":"sha256:46516f529aa6bd786d91bd23c9f46af0042282e247a9877027b21ad0b1b368bc","observation_id":"cd30beb0-3308-45c8-aa5a-c655cce27de6","resolution":{"observed_at":"2026-08-14T04:54:42.696761Z","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":"2026-08-14T04:54:42.676908Z","title":"Thangavelu,Hermite and special Hermite expansions revisited, Duke Math","venue":null,"work_id":"48cdabee-8588-4112-afb5-0cd3ea0a3cc1","year":1998},"citing_paper":{"arxiv_id":"2608.08423","last_updated":"2026-08-09T02:43:57Z","snapshot_observed_at":"2026-08-19T22:59:20.797822Z","submitted_at":"2026-08-09T02:43:57Z","title":"Sharp Endpoint Eigenfunction Estimates for the Two-Dimensional Hermite Operator","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T04:54:42.610036Z"},"links":{"citing_paper":"/paper/2608.08423"},"observation_digest":"sha256:197d31f6e59b3c059af0e84b43eda327211afe710bef194a075ce87e1dcd96af","observation_id":"9e3216b5-be58-410d-bc4a-f3e27f5f5e0b","resolution":{"observed_at":"2026-08-14T04:54:42.682210Z","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":"2026-08-14T04:54:42.663613Z","title":"Wang and C","venue":null,"work_id":"5611d2b5-65ff-48ef-ae64-c1131fb5f048","year":2025},"citing_paper":{"arxiv_id":"2608.08423","last_updated":"2026-08-09T02:43:57Z","snapshot_observed_at":"2026-08-19T22:59:20.797822Z","submitted_at":"2026-08-09T02:43:57Z","title":"Sharp Endpoint Eigenfunction Estimates for the Two-Dimensional Hermite Operator","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T04:54:42.614039Z"},"links":{"citing_paper":"/paper/2608.08423"},"observation_digest":"sha256:1f0466a2dc0f03e6e3a12d5566cfdadd1d84747752e53d0b77cd7d9ffd3f37da","observation_id":"133b7f95-a22d-4d82-a909-895de38fed6f","resolution":{"observed_at":"2026-08-14T04:54:42.668022Z","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":"2608.08423","last_updated":"2026-08-09T02:43:57Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-19T22:59:20.797822Z","submitted_at":"2026-08-09T02:43:57Z","title":"Sharp Endpoint Eigenfunction Estimates for the Two-Dimensional Hermite Operator"},"reference_resolution":{"displayed":22,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":1,"verified_fuzzy":13},"total_outbound_references":22},"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 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2608.08423."}