{"as_of":"2026-08-14T19:43:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3240b0f1d0a510ebff0245319739c16c2046f0aa8047438473f83f41209b2a75","coverage":[{"denominator":87,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":87,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T13:24:21.058865Z","state":"measured"},{"denominator":90,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":90,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T18:30:45.540871Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-02T20:17:21.671434Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.22350","snapshot_observed_at":"2026-08-06T18:30:45.540871Z","title":"Stecconi and A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.08550","last_updated":"2025-07-11T12:55:36Z","snapshot_observed_at":"2026-08-13T12:54:04.202864Z","submitted_at":"2025-07-11T12:55:36Z","title":"Level area of spin random fields: a chaos decomposition","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T18:30:45.540871Z"},"links":{"cited_paper":"/paper/2505.22350","citing_paper":"/paper/2507.08550"},"observation_digest":"sha256:feb4f8f9e39c1a1ac5b05e62320f33c3ad4f548c9379b740e9d45c0e0cc74bba","observation_id":"7cfbb620-ac0d-420c-8db5-c794ece61c44","resolution":{"observed_at":"2026-08-06T18:30:45.540871Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"cited_work":{"arxiv_id":"2505.22350","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.22350","snapshot_observed_at":"2026-07-02T20:17:21.671434Z","title":"New chaos decomposition of Gaussian nodal volumes.Preprint ArXiv: 2505.22350, 2025","venue":null,"work_id":"96b9f37b-e396-4c39-b058-7d15edaa1d36","year":2025},"citing_paper":{"arxiv_id":"2606.07842","last_updated":"2026-06-22T12:40:11Z","snapshot_observed_at":"2026-08-13T12:54:07.560926Z","submitted_at":"2026-06-05T21:05:19Z","title":"Scars in random waves and the FGF 1/2 universality class","version":2},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-06-27T20:45:59.499916Z"},"links":{"cited_paper":"/paper/2505.22350","citing_paper":"/paper/2606.07842"},"observation_digest":"sha256:520ec1a54b9d6d5541902095e8b24e53af3fa541158b4ef8989bc716ccba3f5f","observation_id":"11a1ab32-8700-4542-9b6f-48da616933ef","resolution":{"observed_at":"2026-07-02T20:17:21.672842Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.22350","snapshot_observed_at":"2026-07-14T14:24:14.989685Z","title":"Stecconi and A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.09946","last_updated":"2026-07-10T19:57:14Z","snapshot_observed_at":"2026-08-14T03:06:28.571436Z","submitted_at":"2026-07-10T19:57:14Z","title":"Statistics on Yau's conjecture: Variance asymptotics","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-07-14T14:24:14.989685Z"},"links":{"cited_paper":"/paper/2505.22350","citing_paper":"/paper/2607.09946"},"observation_digest":"sha256:ecb4a6cabf474ff216d5ac8c31d6f08d77c5488b7abc29c663231aac359e75a1","observation_id":"6f79917a-c7b7-4c3c-836b-3031cf07f097","resolution":{"observed_at":"2026-07-14T14:24:14.989685Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2505.22350/citation-record","integrity":"/paper/2505.22350/integrity","json":"/paper/2505.22350/citation-record.json","paper":"/paper/2505.22350"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:24:13.759056Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:13.759056Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:e426a55c9ead8291ecb17bb91c58eac8678daf31e74a09f1033e26eff96e2775","observation_id":"f4435f9e-fc16-4a37-8587-8dc51734e904","resolution":{"observed_at":"2026-08-07T13:24:13.759056Z","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":"2026-08-07T13:24:13.836266Z","title":"Ancona, L","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:13.836266Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:810d22835b7706860cfb015d00acf860da8db9de91749270207453e2ee68146a","observation_id":"8ab42ec9-4f7c-40fb-a41a-9faedbd43d19","resolution":{"observed_at":"2026-08-07T13:24:13.836266Z","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":"2026-08-07T13:24:13.965264Z","title":"Ancona and T","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:13.965264Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:dd221780777c37decf53b81066582682e6a7cb03d1c89e01bb5bb87881d0ab9d","observation_id":"8d56303d-e3e4-4bf5-b5cd-90960de1253b","resolution":{"observed_at":"2026-08-07T13:24:13.965264Z","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":"2026-08-07T13:24:14.083687Z","title":"Ancona and T","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:14.083687Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:6cf8df88d5cda880e90189342047403b8e286536a6bb1b4e38fa245c592d9399","observation_id":"9e7901e7-1463-4cc0-b657-c30ad2b87f9c","resolution":{"observed_at":"2026-08-07T13:24:14.083687Z","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":"2026-08-07T13:24:14.171550Z","title":"Ancona and T","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:14.171550Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:b579cf33fbaf004e3b4746e0b74206d37fefa0b3a9a46591641e0b7d50d5146a","observation_id":"731b95e1-b475-4ad5-9131-347314ef3f7a","resolution":{"observed_at":"2026-08-07T13:24:14.171550Z","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":"2026-08-07T13:24:14.306323Z","title":"Angst and G","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:14.306323Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:840c70cf66fd6d4b37e85d06ad64054623a8a1f41b1f5c6cec88f43a9f212cc0","observation_id":"8e253f24-e739-41dc-b7a5-12805f08495a","resolution":{"observed_at":"2026-08-07T13:24:14.306323Z","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":"2026-08-07T13:24:14.428346Z","title":"Armentano, J","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:14.428346Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:4c72402da58ffd81f549439b886addc2abb4add2866448e00bf30f613f144a32","observation_id":"74ef66b3-acc3-402c-a003-5647c6bf4a00","resolution":{"observed_at":"2026-08-07T13:24:14.428346Z","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":"2026-08-07T13:24:14.501219Z","title":"Azais and M","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:14.501219Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:d369047063829dbd8d19e9851d36bd86876d6d39ee2925a97749be3cf88500a2","observation_id":"0db815cb-c11a-4ac5-906b-f2458538353f","resolution":{"observed_at":"2026-08-07T13:24:14.501219Z","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":"2026-08-07T13:24:34.331578Z","title":"Beffara and D","venue":null,"work_id":"4ab297a4-0808-476e-aa2c-40c62002ceec","year":2017},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:14.562520Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:8adce482f77ecef4fb3635816a8015272816501fb79a3f9ef18e3ae3c5e444fe","observation_id":"4431d389-93af-43a9-94c1-64a3c6c59d4d","resolution":{"observed_at":"2026-08-07T13:24:34.422732Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:34.142275Z","title":"Benatar and R","venue":null,"work_id":"e68555b9-5413-4818-af6c-cb25c0ff152a","year":2019},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:14.619309Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:e303e1178171da898444d3cf61e6f4113d9703fc2afbd82ec84dff486cff65fc","observation_id":"7924a03a-174d-4e15-a55f-1bca73f46cdf","resolution":{"observed_at":"2026-08-07T13:24:34.224686Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:33.981849Z","title":"Benatar, D","venue":null,"work_id":"2f906d54-7d00-4f39-a65b-9cf64ad12a0a","year":2020},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:14.702678Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:bd69f34f564793849b4df51ae4f95b4d81bd2da17ac09ff6655fbfe475cba233","observation_id":"c1ca9656-924c-4447-8836-252936c5e741","resolution":{"observed_at":"2026-08-07T13:24:34.047192Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:33.846036Z","title":null,"venue":null,"work_id":"7eee8784-ebb6-49e7-a69a-18bb5e6f6d18","year":1984},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:14.793748Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:987610a5b3b24a750482981e0abbed514db35c9f2781e4a481eadc67751b5c80","observation_id":"def06df9-6654-4dea-bdd0-f07886b58f81","resolution":{"observed_at":"2026-08-07T13:24:33.900295Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:33.657720Z","title":null,"venue":null,"work_id":"12ad8361-6202-4fb9-ac91-e9c39fb053dd","year":1977},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:14.913625Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:2e050dab696728765330fdc76afe84b56167d380e3d1e0d1af9c8ed0f0af4cf9","observation_id":"6686be32-4ff8-41ec-bd4e-cdd6e068ea13","resolution":{"observed_at":"2026-08-07T13:24:33.757720Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:33.468672Z","title":null,"venue":null,"work_id":"43b723d8-b2e0-4468-9f6e-b0fac3bb4755","year":2002},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:15.052268Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:c9efd17fcb59995aec3b15c2be4118efa27da836384a665c43ad0411927c1404","observation_id":"9069a822-e293-4d12-9661-4d5c3c050b08","resolution":{"observed_at":"2026-08-07T13:24:33.561423Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:33.178584Z","title":"Biermé and A","venue":null,"work_id":"566b8626-b506-48da-8d2f-f8c3093f08db","year":2024},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:15.169565Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:a43c08b4a8040fb1d5be44a1ba01db71cca2346ec5c36309efc15c85aec19bdc","observation_id":"11aa41f6-a27e-40f0-a9a0-998a86210244","resolution":{"observed_at":"2026-08-07T13:24:33.295806Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:15.290290Z","title":"Billingsley.Convergence of probability measures","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:15.290290Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:cda51c8efa6122966a300cc3c7919ccb88d2015b3d482b5e47cb58d2f9e93916","observation_id":"0f0b4d3b-6edd-4d1e-92ab-1ed52ba68622","resolution":{"observed_at":"2026-08-07T13:24:15.290290Z","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":"2026-08-07T13:24:32.941013Z","title":"Bogachev.Gaussian Measures","venue":null,"work_id":"08543780-6310-47c3-88f6-177827e208c8","year":1998},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:15.377756Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:591dd3ba690e67f920252e361a4dfed8ca42d3d531d32d6fb9432054d6384afe","observation_id":"23d5393d-78ca-4877-a4e8-9956bc9e08a6","resolution":{"observed_at":"2026-08-07T13:24:33.026501Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:32.662390Z","title":"Breiding, P","venue":null,"work_id":"a2fe07ad-18cf-48fd-9d8d-f73a7b0b21c9","year":2022},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:15.473198Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:39ceede09d25113a638b709120c22dde1d67350702a5ac446a249f5c229d0bc3","observation_id":"482ca93c-e218-4ba7-b675-be06355afaea","resolution":{"observed_at":"2026-08-07T13:24:32.783821Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:32.445478Z","title":"Cammarota","venue":null,"work_id":"b66c4b55-13f1-458f-83fd-3a407cb33362","year":2017},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:15.590637Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:859691b44abe39b8ef5d1e236d6a20ec667f3809acba8e97c2a979a7bc3bbc6a","observation_id":"85e62797-df95-444b-96dc-3350ed4f45f1","resolution":{"observed_at":"2026-08-07T13:24:32.523005Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:32.183087Z","title":null,"venue":null,"work_id":"633a4536-fb44-4435-9fec-65575d3fc7a7","year":2020},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:15.679953Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:ed891233ce2b178a59fc0084e63929e66d3001b018256d32e8fb495622358d9c","observation_id":"7fa4a36a-5c1c-4866-9c0d-3bce34f32d47","resolution":{"observed_at":"2026-08-07T13:24:32.317145Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:31.966372Z","title":"Canzani and B","venue":null,"work_id":"dfb401da-632c-416a-b159-075f5b09293e","year":2020},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:15.807418Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:fff1243365c000f0040af49945a92068d5a8b6a80aabc3ba5b9277dd6fc28623","observation_id":"4ada6423-5612-4b17-8784-d087e80c86c3","resolution":{"observed_at":"2026-08-07T13:24:32.087369Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:31.705447Z","title":"Canzani and P","venue":null,"work_id":"21b33861-00ca-4696-b52d-be013e382bc2","year":2019},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:15.899426Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:d72933b3ec0ce9cf38ef1cfeb83c6d47953218e3025e62062f83e3a9407e50d6","observation_id":"0f577565-012e-4ba6-a430-aa3fe5211e42","resolution":{"observed_at":"2026-08-07T13:24:31.859713Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:31.437405Z","title":"Caramellino, G","venue":null,"work_id":"be9592ed-f3a9-4697-8f98-1cfd77bd5599","year":2024},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:15.993892Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:d93baa9a5c97c7c7fdfefe0912c3def9afd4fc0a288726ffb3ff1f671f63fbbd","observation_id":"87e8a15c-cbfe-47a8-8ab5-1f324893b238","resolution":{"observed_at":"2026-08-07T13:24:31.534592Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:31.217450Z","title":null,"venue":null,"work_id":"8a878c1e-2c64-480a-b8f5-ee7095bc1fd5","year":2023},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:16.121883Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:5dbe6d2e4ab6a6b2140f79de5a2171033f47c43f7f1175145ddb1057c3f147b8","observation_id":"2dd4e3f6-063b-4864-ba28-6e857030eaa1","resolution":{"observed_at":"2026-08-07T13:24:31.318342Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:31.049625Z","title":"Dalmao, A","venue":null,"work_id":"a4b4424d-1198-4fdd-a1dc-743c70d32146","year":2021},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:16.235186Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:4ef89d01138bf02192083b7de34fedafecdde09b1fdb8e5df451da5fd522a861","observation_id":"ef873811-f334-4e63-bb27-998eb235ed76","resolution":{"observed_at":"2026-08-07T13:24:31.124094Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:30.906312Z","title":null,"venue":null,"work_id":"68ab5cbc-961b-49ab-921a-bf085e9d4a24","year":2018},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:16.364545Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:ac73aa337177751eeaa2f715988635f8bd0298dff3e590201374d83d7581afd5","observation_id":"79170886-864f-490e-a493-a6d61770e5c8","resolution":{"observed_at":"2026-08-07T13:24:30.976559Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:30.741527Z","title":"Dierickx, I","venue":null,"work_id":"7bde9f5e-3c5e-421e-91fe-75be302c767d","year":2023},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:16.461090Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:caccf5462676b80d61a9fe944401ba75e60fc63ff9748d269bcd593048cf7e02","observation_id":"f79a02de-5155-4489-8446-33dd9621c2c0","resolution":{"observed_at":"2026-08-07T13:24:30.794771Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:30.562886Z","title":"Duminil-Copin, A","venue":null,"work_id":"cc3fdcf3-259e-4049-b302-2069abb1037b","year":null},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:16.666185Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:5a1ffb2d76a3a2bff82a1488b357a3a5efd851cf598acba6cf63c4d6b62c1679","observation_id":"012ae6d0-f5a5-4a97-a196-182a61263bdf","resolution":{"observed_at":"2026-08-07T13:24:30.646586Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:30.416792Z","title":null,"venue":null,"work_id":"c75f662c-f914-4a2a-9571-36db94604a26","year":1986},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:16.743435Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:711b8fe69df46e26a588b197d14b9e88e3be87d63cc25ff7b72f5716994917d9","observation_id":"8765418f-11fc-4dbe-bead-826aed99aa8b","resolution":{"observed_at":"2026-08-07T13:24:30.487812Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:30.282801Z","title":"Edelman and E","venue":null,"work_id":"dbd3ab26-78ec-4410-8ba1-d94f6eea6958","year":1995},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:16.823806Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:57e189d08c8e673207be22a3f9437842acfa7a47a92606af42aa69acd8399b79","observation_id":"ca7a8dff-7eb7-4e4e-94c7-b51bce2a2429","resolution":{"observed_at":"2026-08-07T13:24:30.334678Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:30.155944Z","title":"Federer.Geometric Measure Theory","venue":null,"work_id":"3a786db5-39b2-4db9-914b-f8d7bf7b9f22","year":2014},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:16.946318Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:01ea6273f818da8bf6bc1ea206f9d9b67bdf605e26e830467028390a116474a1","observation_id":"9b98441b-0954-44ff-81e3-040f305ea708","resolution":{"observed_at":"2026-08-07T13:24:30.202052Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:30.007182Z","title":null,"venue":null,"work_id":"30fccad0-f86b-44d8-8b32-2af5608396b1","year":2015},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:17.068309Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:06ccf252786142de7317b7192baeee2a4e301edd26b562a3822b1a104959490e","observation_id":"4639c4e9-5013-47c7-8e8a-680854ba63ca","resolution":{"observed_at":"2026-08-07T13:24:30.067399Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:29.884581Z","title":null,"venue":null,"work_id":"33e3e7ce-2f8d-483f-8fcc-04dca1e153fa","year":2023},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:17.165859Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:502428be9c07d2cabfa7fba1c603463ada9e98e9c1bf7b4b8acd9aa661e1ec22","observation_id":"837e4b3b-4b14-40e8-970d-8e377adbe2d9","resolution":{"observed_at":"2026-08-07T13:24:29.937846Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:29.756271Z","title":null,"venue":null,"work_id":"91acbf98-48f6-447b-9520-83e5db992caa","year":2023},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:17.255401Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:af791721d1f9c7eede0686106dbe490ab58b3b97d53af109bd80e9750b29abd0","observation_id":"2dfacad2-960a-4a3e-a595-0156667aefa2","resolution":{"observed_at":"2026-08-07T13:24:29.814180Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:29.712706Z","title":null,"venue":null,"work_id":"e33e6256-8e7c-4c84-8e24-43cda6e50c1c","year":2023},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:17.351243Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:2c8ca6fc0f79788d488f2fcd0763669c505795de65e14cb20155e0b1db35af10","observation_id":"09f166a0-1458-4816-b3ed-cccc4c44d93c","resolution":{"observed_at":"2026-08-07T13:24:29.739202Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:29.561076Z","title":null,"venue":null,"work_id":"9c6bd1e8-cfd1-457b-b411-22e7922f4752","year":2025},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:17.477936Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:c02699af6fe716c3e32996049a0bcfced54b7fbabd211f5dac449e5c7f027418","observation_id":"af295d08-5030-4bb6-8000-f344233cb238","resolution":{"observed_at":"2026-08-07T13:24:29.636137Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:29.402346Z","title":"Gass and M","venue":null,"work_id":"8601b5a6-b35f-4d15-8e8a-6a398da25981","year":2024},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:17.569180Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:6f63ec5c35788a85f1ddf5f3ecb29d9ff5678e75a9b7b750ac6570ef02e2d75a","observation_id":"d71d3a96-7239-4f03-a417-2f44b8d40508","resolution":{"observed_at":"2026-08-07T13:24:29.497988Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:29.167655Z","title":null,"venue":null,"work_id":"69efc969-721e-461e-b3bd-bd5e561a0cd4","year":1994},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:17.625130Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:13718156aacd573d48e3cfc68fe8c74a18428fef4ba4ccd8cad277547fa01620","observation_id":"a3c26ec5-e9f0-4ca8-96b1-67ec4ea763ea","resolution":{"observed_at":"2026-08-07T13:24:29.267304Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:28.937237Z","title":null,"venue":null,"work_id":"28e76bb4-8438-473b-8e69-f10813a0295d","year":2024},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:17.720795Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:cd4e3c5ce2a5483dd077d4391054d1ef2140832af282693ecccbba9ef38b039f","observation_id":"ccc187df-14d5-4b1b-83c6-8a28aa40d38b","resolution":{"observed_at":"2026-08-07T13:24:29.020478Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:28.808369Z","title":"Kochneff","venue":null,"work_id":"a2a99e69-0d8a-444a-96c7-ccbdebb28828","year":1996},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:17.803190Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:44efa2a4f934d9d27cc81c71275a54d0ceae2446fb58c564b28abf5ec107bef0","observation_id":"ed8ba37d-748a-43bd-9df4-73a7baceea35","resolution":{"observed_at":"2026-08-07T13:24:28.851974Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:28.654630Z","title":null,"venue":null,"work_id":"3fac13f5-dc76-493e-b04c-7af4270cea00","year":1990},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:17.904242Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:32b6f2b0368ce45a499545da91d9b1b658d9359bf14160452fa7450d76c078b3","observation_id":"0da7420a-7384-4788-920e-f784dc64f4fc","resolution":{"observed_at":"2026-08-07T13:24:28.727290Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:28.523452Z","title":null,"venue":null,"work_id":"33bf9aaa-09fe-4b0a-8848-aeb1e377fc23","year":2001},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:17.952364Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:839a17014e18b82967960b1b61b75fa8484207016a3d0fd8a3900e1cf2d61e1c","observation_id":"0ae435e4-55e6-48a3-960d-ce5540cd7f38","resolution":{"observed_at":"2026-08-07T13:24:28.588903Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:28.405453Z","title":"Krishnapur, P","venue":null,"work_id":"72a0a1fe-5b13-41ba-92ef-82743590049e","year":2013},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:18.038535Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:cc9044e4c3d5a4655275bc3054aee88b38209f8fd46e5affdb82b50cee08f0b8","observation_id":"5558c97f-761f-4770-8f52-f091bb35b85d","resolution":{"observed_at":"2026-08-07T13:24:28.444761Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:28.264402Z","title":"Lerario, D","venue":null,"work_id":"029d8f18-ec61-424a-ab87-1b9bd5c0913d","year":2025},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:18.097754Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:d90c3404b3971419c7b3a7ad5626ad6e0530523d31225662dcc924ad4b65ddfe","observation_id":"08560884-c2b4-481b-a8de-78ffa830db5d","resolution":{"observed_at":"2026-08-07T13:24:28.340374Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:28.131299Z","title":"Lerario and M","venue":null,"work_id":"0ed12a3a-e668-4184-90fc-f1e1edfde1de","year":2024},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:18.164374Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:b192187167f6fa247c694e3b1896d13b336f9ac2404fd37bf07ad26aeaca2895","observation_id":"81b206ed-ef1f-4587-9b72-7fa5a5799d4d","resolution":{"observed_at":"2026-08-07T13:24:28.163000Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:27.975430Z","title":"Letendre","venue":null,"work_id":"a6b42bfc-e0c2-4d0d-b4af-a72e62d7e703","year":2016},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:18.265987Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:cf88271f9cf7de56caf00b644a05e629c1280ce123503b568214a6b07b70da6f","observation_id":"5b8fcd2d-d364-42e1-9bb8-0846a920c184","resolution":{"observed_at":"2026-08-07T13:24:28.052508Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:27.802721Z","title":"Letendre","venue":null,"work_id":"ede26336-4456-4dba-a917-26935bf552fa","year":2019},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:18.356879Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:961990eb01c01f6ec8c01c4977e1e7e8e1b26a77acc6ff4c7ed1f3f12835addd","observation_id":"08bce6c2-3fa8-4d71-8317-7e5686031794","resolution":{"observed_at":"2026-08-07T13:24:27.867621Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:27.643224Z","title":"Letendre and M","venue":null,"work_id":"169ae936-f620-43a8-997e-2dfcd323645c","year":2019},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:18.431456Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:1eb316aabfb4de335539dd0e8425ed8806da0e9a28a5e94c946a9c36bb34d289","observation_id":"a9fe832b-7db8-45e6-b59b-e22149b5daa4","resolution":{"observed_at":"2026-08-07T13:24:27.714752Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:27.498512Z","title":"Macci, M","venue":null,"work_id":"dddd2069-ce8f-467a-a0ed-d833d76611de","year":2021},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:18.499535Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:6846e00b57266e948f85e5209d2eee4bfb49ac0486ea5664094d75111d96784d","observation_id":"7478e560-a75d-4bae-bd06-c40badab4dda","resolution":{"observed_at":"2026-08-07T13:24:27.547623Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:27.350642Z","title":"Macci, M","venue":null,"work_id":"404a7455-527e-4021-9897-3aedf537c1ec","year":2024},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:18.562311Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:d52bd3392ae5b245b063ca357a16debdb3d02c4e01d8fa84689435eb2bf5533f","observation_id":"2e57ea5e-e537-4f8c-826b-b58943399058","resolution":{"observed_at":"2026-08-07T13:24:27.416525Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:27.218808Z","title":null,"venue":null,"work_id":"862e9d59-fcf3-4e61-bb2c-9cad5a38a5e7","year":2024},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:18.628427Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:25d9111b956cdfb480a7de26459118bca5fd71d452c082787e71bed8c34e5206","observation_id":"f2c6d91a-5f07-415f-ad91-b743d29e8acb","resolution":{"observed_at":"2026-08-07T13:24:27.270598Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.00759","last_updated":"2026-05-14T19:52:57Z","snapshot_observed_at":"2026-07-06T20:29:45.369233Z","submitted_at":"2025-02-02T11:46:39Z","title":"Almost sure central limit theorems via chaos expansions and related results","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.00759","snapshot_observed_at":"2026-08-07T13:24:18.723326Z","title":"Maini, M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:18.723326Z"},"links":{"cited_paper":"/paper/2502.00759","citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:ed3280e526017d5451a3b2229a8f382d50f5595f1e20ba0606122a79eb80b73e","observation_id":"6d452046-eaeb-4b07-9d5e-b08a55e6dbf6","resolution":{"observed_at":"2026-08-07T13:24:18.723326Z","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":"2026-08-07T13:24:18.795506Z","title":"Marinucci and G","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:18.795506Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:fa186084c4c84ab95ca377911736df39ca638da05117ebdafa9120621ffe6a5a","observation_id":"da75d2ef-406e-4b15-83bb-63fdb63faf14","resolution":{"observed_at":"2026-08-07T13:24:18.795506Z","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":"2026-08-07T13:24:27.072557Z","title":"Marinucci, G","venue":null,"work_id":"c873ec24-c6fc-4d91-923f-18f3cc262f5e","year":2016},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:18.862409Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:33a39abffd22e3357a564a426a17313faa7c6947935f65e6d120e6f407804e34","observation_id":"54b26c18-e430-4894-81a6-eafb61c36d2a","resolution":{"observed_at":"2026-08-07T13:24:27.131752Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.09962","last_updated":"2023-12-19T07:07:22Z","snapshot_observed_at":"2026-08-13T05:00:48.042680Z","submitted_at":"2023-12-15T17:17:24Z","title":"Laguerre Expansion for Nodal Volumes and Applications","version":2},"cited_work":{"arxiv_id":"2312.09962","doi":null,"metadata_source":"pith","pith_arxiv_id":"2312.09962","snapshot_observed_at":"2026-08-07T13:24:21.303912Z","title":"Laguerre Expansion for Nodal Volumes and Applications","venue":"math.PR","work_id":"f1beb717-0c77-417f-b90b-bded93c54a46","year":2023},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:18.934129Z"},"links":{"cited_paper":"/paper/2312.09962","citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:6e35fdf76bd7785a0576d06db2362013fc40f2fd7374d097d33b8644a2ac328a","observation_id":"8655329e-2c16-4f74-bba2-1304a097b008","resolution":{"observed_at":"2026-08-07T13:24:21.442648Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:26.950964Z","title":"Marinucci, M","venue":null,"work_id":"5c62170b-c152-4e0e-b8d5-686735d511d9","year":null},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:18.983249Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:b959028f12bc268324dfaac8e9326a210ede39cd209e3f02e9db094c439375de","observation_id":"51881a9d-db69-4519-b17b-e1ae9ea1c765","resolution":{"observed_at":"2026-08-07T13:24:26.993189Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:26.644978Z","title":"Mathis and M","venue":null,"work_id":"5d2406fd-98ac-46ce-9e71-0f5bd0e0de6a","year":2024},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:19.094466Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:ef0f291289126ba7bfa71ab19fe8d14623bed9d1329bdfce5ad9fe1412703bbe","observation_id":"141e5f48-2def-4690-9149-dbb52a7086ba","resolution":{"observed_at":"2026-08-07T13:24:26.707986Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:26.476688Z","title":"Nazarov and M","venue":null,"work_id":"e6a1b38c-3ce5-4270-8c72-17ded8200172","year":2007},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:19.147766Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:4207e7ad34e1aea62dffccc859879f5ffe2d777b7c7474710457d1f6280d72f3","observation_id":"e00b2873-92f7-450a-80fc-af0f4da999ab","resolution":{"observed_at":"2026-08-07T13:24:26.539660Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:26.366690Z","title":null,"venue":null,"work_id":"27e76930-0326-4c53-9590-dfb0bdda8acb","year":2016},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:19.202588Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:f5dc94415f306e5dcd265a6c84c340698c99f325355a0f60e7fe537a33239feb","observation_id":"4f4bcf28-85b5-4733-b6f8-efce67507ffc","resolution":{"observed_at":"2026-08-07T13:24:26.398489Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:26.288431Z","title":null,"venue":null,"work_id":"1e5b7ef8-fc15-4897-9503-78c9b8be3c2f","year":2016},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:19.264160Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:eced3081c634e76ba8ad663d4926dd93e720c174e741efe75b7462e4e8d79f8e","observation_id":"1958cc62-2eb0-45ed-b7ea-c3692acc461b","resolution":{"observed_at":"2026-08-07T13:24:26.325349Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:26.155451Z","title":"Notarnicola","venue":null,"work_id":"0e6ae0ec-1de9-436b-8484-4f8d345deafc","year":2023},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:19.336699Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:92313dc363d5135f1dd00164e5cea8895aad996d508d3044ed1420ce9bceceb3","observation_id":"c2be46fb-f266-4eab-b940-1644c9662ac9","resolution":{"observed_at":"2026-08-07T13:24:26.206294Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:26.009826Z","title":"Notarnicola, G","venue":null,"work_id":"5cbf34fe-19ae-41d1-b373-68ab567030ed","year":2023},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:19.409212Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:49db2212b1c7150e6bed3df7593a07506444a39a57402f7c85569006b2df062d","observation_id":"70578863-21fa-4606-a455-46e29cc06118","resolution":{"observed_at":"2026-08-07T13:24:26.064320Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:25.867792Z","title":"Nourdin and G","venue":null,"work_id":"9bed0802-4b43-46af-b945-3b9ccf1dc6d8","year":2012},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:19.510460Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:23ee259ba5cae27c3617014cf9c133d5e35862af3a120a30bf48317d2d3941cc","observation_id":"31a8c0fe-b52d-46fb-a281-988be75a3cf3","resolution":{"observed_at":"2026-08-07T13:24:25.934226Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:25.718839Z","title":"Nourdin, G","venue":null,"work_id":"3e27a037-8a45-41b7-9b71-1cdbdf9f2be3","year":2019},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:19.578270Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:a2d989942867ff0f745f9052dfff840aa499a8f36fa54ce74dee3e3354878a59","observation_id":"650d98e1-a4ef-40a2-86f5-1b72e44621f4","resolution":{"observed_at":"2026-08-07T13:24:25.774342Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:25.578229Z","title":"Oravecz, Z","venue":null,"work_id":"8b2d253d-c34c-4348-b2bb-5e78bdaaa011","year":2008},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:19.660304Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:0f688b60e6404dc72dc142bed7ab1166b9ff86ab14c58924b408520b062fbe6f","observation_id":"835acfa3-de22-45d9-a147-af5c21500001","resolution":{"observed_at":"2026-08-07T13:24:25.636144Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:25.404250Z","title":"Peccati and M","venue":null,"work_id":"5c756ca6-9906-4a11-a4cb-a052fa2e9aa1","year":2025},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:19.727838Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:c297f33e714ec5985547402a9a40e95b635e5275875103659dfe8221bba276cf","observation_id":"f6706200-005e-440a-ba74-777d7d009bf7","resolution":{"observed_at":"2026-08-07T13:24:25.502984Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:25.273219Z","title":"Peccati and A","venue":null,"work_id":"6ff70476-b166-45b5-8ba7-9129ec9814d2","year":2020},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:19.805988Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:80956210746675767bef8097b4db80de1de2823d15111ebb792991fa9124043b","observation_id":"2c3ee2ee-434c-4f80-969c-6b332243f507","resolution":{"observed_at":"2026-08-07T13:24:25.322178Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:19.878172Z","title":"Pistolato and M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:19.878172Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:f4419a4a599ddb6c73e3b4079b43d66efe44c698cb7c5f8f11dd20752531dd42","observation_id":"00ecbb0d-a5dd-4d9b-8178-164cf9ebed21","resolution":{"observed_at":"2026-08-07T13:24:19.878172Z","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":"2026-08-07T13:24:25.134586Z","title":null,"venue":null,"work_id":"3bc58e37-57d9-402b-b229-0837b23f76ee","year":2021},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:19.933105Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:ed2b6cb236a53ecd448984b764a0f393ea0130ac2f5053133d9e028693b92c41","observation_id":"b2de4da2-539c-420b-850c-83d9719234c8","resolution":{"observed_at":"2026-08-07T13:24:25.200365Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:24.971228Z","title":null,"venue":null,"work_id":"91a58817-256b-46b9-928c-0edca5c74451","year":2018},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:19.991397Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:ad08af082971ea594b7133e931fade9c33b488b88cb5641a5c8946549be7ef94","observation_id":"9975ba48-7530-41ee-ace8-f3d6ab4f5736","resolution":{"observed_at":"2026-08-07T13:24:25.043450Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:24.840804Z","title":"Rudnick and I","venue":null,"work_id":"4e39781b-8766-4e8f-a23b-8d85393bbca9","year":2008},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:20.077619Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:7cf34247dd037c4f2e9fa2c1b4bc44c23b923561eb42bab777a1fe9c9d10a1f8","observation_id":"f71f2dd9-be91-49fd-8a28-d5f30239d916","resolution":{"observed_at":"2026-08-07T13:24:24.899180Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:24.706370Z","title":"Sarnak and I","venue":null,"work_id":"1b96247f-2f97-47f4-b975-6c2722ca14c6","year":2019},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:20.139461Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:da2a52dff96bdc84293e4f5416bb72b0a6a630c335e0cf7c7d6d0f38cf7fa312","observation_id":"aef09961-7a93-46ec-b9be-69bf25f91d4b","resolution":{"observed_at":"2026-08-07T13:24:24.770113Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:24.540850Z","title":"Schneider.Convex bodies: the Brunn-Minkowski theory, volume 151 ofEncyclopedia of Mathematics and its Applications","venue":null,"work_id":"1c437801-9487-4cdc-b5ec-8d7d1d4ef0af","year":2014},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:20.198983Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:1368eca402f7e0183e16cc67808c1683abec075e8547fa5004d6134c603275b4","observation_id":"ea29428f-617f-486e-8993-14b2d2a7f095","resolution":{"observed_at":"2026-08-07T13:24:24.617752Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:24.407618Z","title":"Shub and S","venue":null,"work_id":"63a5c352-9d2a-40eb-b818-885471f953d6","year":1993},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:20.255782Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:ab7f42d3bbb27c6d53c5521a8543d54e42d46c0e29c89b0e17602ee22cac6765","observation_id":"e27323c9-1289-4eac-80c0-565459064cf5","resolution":{"observed_at":"2026-08-07T13:24:24.458281Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:24.237892Z","title":null,"venue":null,"work_id":"d602a995-41c5-4617-b148-7f89059fefdd","year":2025},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:20.324586Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:261fee92b5a755037e131591be0ba5a2614574265643a9dd057dced85cbb3b06","observation_id":"73d6d4d7-7915-41d8-b244-1e32aeab2da7","resolution":{"observed_at":"2026-08-07T13:24:24.334137Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:24.102996Z","title":"Stecconi","venue":null,"work_id":"d052b6eb-7eb5-468d-b213-c49003654986","year":null},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:20.383474Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:83c03ff9b355f14073289a3fd25aeae9af7008c7b1afba50dce9cd750f1c6481","observation_id":"f72d3f9f-a6a5-420f-be06-b94a9872a743","resolution":{"observed_at":"2026-08-07T13:24:24.155269Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:23.942949Z","title":"Thangavelu","venue":null,"work_id":"16179df2-cc01-4bd9-a5fe-489ff4f96db2","year":null},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:20.451642Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:c317c074438f521a32b6121e19abc329e949e880f92bf5603454600cfc727d51","observation_id":"218f32b6-a8b4-4c23-b595-490e7054aa9a","resolution":{"observed_at":"2026-08-07T13:24:24.017790Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:23.792414Z","title":null,"venue":null,"work_id":"7f4c2c99-ddb7-497b-b995-6c9c0b7dc951","year":2020},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:20.513264Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:d4b9fc6c96d2592808188003a6798e77f5fbbc8f8908c452f392582bcaf2c5e2","observation_id":"8ba68b58-e7ef-410b-99e3-4e6616a045af","resolution":{"observed_at":"2026-08-07T13:24:23.857984Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:23.658707Z","title":null,"venue":null,"work_id":"e99f648f-c505-4d80-b226-0febfbc17567","year":2024},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:20.584870Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:d55962958b91a671dcb3400efe164e27be4d599afdcb7992a93a410f09079b78","observation_id":"1fa36eae-999c-4ff4-8803-f29358dbfe19","resolution":{"observed_at":"2026-08-07T13:24:23.727588Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:23.445996Z","title":null,"venue":null,"work_id":"cefc3a19-1ed8-4cbe-b940-45fd126455e2","year":2021},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:20.646743Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:f02fcf10ecffae63d7b42aab6ba1e1f39cc9d826dab6c744550ec87d590ef949","observation_id":"6f6f207e-9ecf-4dde-b29c-77bc2d0cd890","resolution":{"observed_at":"2026-08-07T13:24:23.574000Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:23.209940Z","title":null,"venue":null,"work_id":"0960315a-fede-45f7-b170-75da19ca429a","year":2009},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:20.745034Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:bbcc7bcab865d6550231463caadf99567b4134a366c308dec08538bf68a3b0f7","observation_id":"ec7a5173-1737-4eeb-ba72-bda3ac6c563b","resolution":{"observed_at":"2026-08-07T13:24:23.326079Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:22.826443Z","title":null,"venue":null,"work_id":"fbc1cb44-bc90-4c92-97ca-3e05771b287b","year":2010},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:20.813061Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:a5686e34baf6592beeff2e09552d18d83d6a6347e0f4daeffa6bb7dc958d317c","observation_id":"155a4a88-76de-4eea-bede-d3af50a151ba","resolution":{"observed_at":"2026-08-07T13:24:23.037502Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:22.486039Z","title":null,"venue":null,"work_id":"41c30452-f886-4f41-bc82-303e4088ea48","year":2020},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:20.864601Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:728623dffa048ae0bccd1e4e905fc9b5b333c2aab142eddd285fdb4aea01bad6","observation_id":"78f469ab-1971-49cb-8a7e-192158c77ccb","resolution":{"observed_at":"2026-08-07T13:24:22.639986Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:22.198353Z","title":null,"venue":null,"work_id":"f2a4376b-11e7-4c27-8334-ae2b4ccd1ab5","year":2023},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:20.927582Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:b5829638a825c6ee13bfaae6128bb18dfe41ee62bbd3c4c8310386b99854e4b7","observation_id":"0eac3c00-7da6-43ed-bf89-8879dee4ff30","resolution":{"observed_at":"2026-08-07T13:24:22.353012Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:21.954296Z","title":"Zelditch","venue":null,"work_id":"9f9e8613-13f2-41d1-a665-dd0ae22c0a2d","year":2009},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:20.998654Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:786be12185bc9b96d54e5f6bd13cb169834f5b2375a16917159c83d0d18c4a5f","observation_id":"c0326dc6-998f-4186-8c5d-bc3da1bf1132","resolution":{"observed_at":"2026-08-07T13:24:22.056885Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:21.682354Z","title":"Zwillinger.CRC standard mathematical tables and formulae","venue":null,"work_id":"82453b8d-b981-48da-858f-11d55ad081ff","year":2018},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:21.058865Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:876d8b98ad1f2b5e73a156ae4409f0ba688a5a75e3d6d274ff45e9391cd83b5d","observation_id":"50454d52-b1f6-4378-a62b-9f42225a1aba","resolution":{"observed_at":"2026-08-07T13:24:21.829374Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T13:24:26.798088Z","title":null,"venue":null,"work_id":"017f6033-70af-4c31-ac2b-ca0e96ff8f6b","year":null},"citing_paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes","version":2},"reference_index":2020,"source":"pdf_text","source_observed_at":"2026-08-07T13:24:19.037675Z"},"links":{"citing_paper":"/paper/2505.22350"},"observation_digest":"sha256:d1f5409d13be470ab7fd8fdc4d6a22a557cb045706ced746ff3bb8a2c1dae15d","observation_id":"f9de6a33-36ff-45bc-a6db-c33327ec5243","resolution":{"observed_at":"2026-08-07T13:24:26.864346Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.22350","last_updated":"2025-07-10T15:33:53Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-13T12:53:50.575031Z","submitted_at":"2025-05-28T13:32:19Z","title":"New chaos decomposition of Gaussian nodal volumes"},"reference_resolution":{"displayed":87,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":42,"verified_exact":1,"verified_fuzzy":44},"total_outbound_references":87},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 87 of 87 outbound references and 3 inbound Pith citation observations for arXiv:2505.22350."}