{"as_of":"2026-08-14T01:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c22bc98b310eda08966723e73195d0528cc3b53bae103a0253e1a59ce91b17a2","coverage":[{"denominator":50,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":50,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-10T09:33:48.450860Z","state":"measured"},{"denominator":50,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":50,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.08314/citation-record","integrity":"/paper/2607.08314/integrity","json":"/paper/2607.08314/citation-record.json","paper":"/paper/2607.08314"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T09:37:00.965742Z","title":"Abreu, Joao M","venue":null,"work_id":"dd9af7db-a1da-47d7-99cd-50b3f0e54bdc","year":2017},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:c2addb81233ef7f32b2a713757bffa60a4083c6936cfa3f4e068d20d9cf8ff93","observation_id":"d6b521eb-a4ca-4a9b-b000-4c70f462dd75","resolution":{"observed_at":"2026-07-10T09:37:00.967919Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.043172Z","title":"Adler and Jonathan E","venue":null,"work_id":"614a932d-0b81-4fe2-9c2f-026198c86e74","year":2007},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:b871f68ffa664b1430a997ab45739a1ed19da2e7842ec3eaf5b4d3f009d6cc90","observation_id":"9efe40bf-59cf-46d7-af09-4eb40c0db52e","resolution":{"observed_at":"2026-07-10T09:37:01.044196Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.004825Z","title":null,"venue":null,"work_id":"ed386f12-b33e-4d44-a34e-477660e9a826","year":2016},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:7ada555b6871558d335c234c923d78b167ed4a7dbeb18423bb897e7afb63c63b","observation_id":"1c87eb22-8900-43dd-a5f5-d058425f59b5","resolution":{"observed_at":"2026-07-10T09:37:01.005928Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.016326Z","title":"Appl.124(2014), no","venue":null,"work_id":"8206c3f6-f80a-4d29-a9b1-1840326872a2","year":2014},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:d351ef000bf08115e3a521ea3e7ded5d09cd90cece6155e5d20f3b677b20fcae","observation_id":"f78beffa-254b-412d-b47a-eb8fcbb0d2b9","resolution":{"observed_at":"2026-07-10T09:37:01.017388Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:00.989798Z","title":"Berry,Regular and irregular semiclassical wavefunctions, J","venue":null,"work_id":"a27f8383-10dc-4235-bf0b-4652ae9c4baf","year":1977},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:15c54a752e09fb63b328865957542668757864e4a35b42fbc758d8d019aa7180","observation_id":"f00fc042-e7c5-4438-bc56-d853e203ffe2","resolution":{"observed_at":"2026-07-10T09:37:00.991024Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.040013Z","title":null,"venue":null,"work_id":"dde2daef-72aa-45ea-99e6-a830dbfdf342","year":2002},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:f8244e3e7fc9e3305e1d388692813807e6fd7eddbfb0c75b8d2df9165e0e9584","observation_id":"0bab1e2b-869b-4989-9626-a1da5581e523","resolution":{"observed_at":"2026-07-10T09:37:01.041084Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:00.983155Z","title":"Ann.108(1933), no","venue":null,"work_id":"ba722162-433f-437d-9413-a2663a80c1c8","year":1933},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:157211f207956db2064110e5d5b4b24165244e5a04a430f9f9d61919ea2b1e6d","observation_id":"dcdb622d-b891-4dcd-bb17-2614ff037c5a","resolution":{"observed_at":"2026-07-10T09:37:00.984211Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.033516Z","title":"MR 2363343 13, 23","venue":null,"work_id":"3bed53ee-aa5b-48eb-b6d8-2851d7e5d70f","year":2007},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:6ed9e626ee091e85f2b9b052dea43e91c570e12ac2d72d729731f811dec1d35a","observation_id":"19e575d9-72b7-4198-ba6c-567615c6ae6c","resolution":{"observed_at":"2026-07-10T09:37:01.034505Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.027149Z","title":"5, 3539–3564","venue":null,"work_id":"8ce4d118-a410-4e39-bf6d-5b5a3cdf47cb","year":2019},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:3987129476ba68f001bd1e5958381710355d1022582fc48fa3900579deab8a40","observation_id":"4b533045-6a0f-45c3-9ac5-0e4d4027ab23","resolution":{"observed_at":"2026-07-10T09:37:01.028170Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:00.970277Z","title":"Probab.46(2018), no","venue":null,"work_id":"2508a224-d91f-46dc-9195-67add845a166","year":2018},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:3b1728cfaac201525044ea775c0f75725f25ac506f4165254cbd0182bb8f9c65","observation_id":"ecafb817-9b08-48ef-8bd3-e53f9958db68","resolution":{"observed_at":"2026-07-10T09:37:00.971309Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:00.981529Z","title":null,"venue":null,"work_id":"2eb18f67-5e5d-4811-b498-04fe8d8b1386","year":2020},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:4e9294bb51e094a5c3b26a355f2362f365535c8122a01183262b4a192e072c2b","observation_id":"991eb38f-0c00-4f47-80c4-632956b198bb","resolution":{"observed_at":"2026-07-10T09:37:00.982591Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:00.971836Z","title":null,"venue":null,"work_id":"679b9070-83f5-4877-a328-bb6f5b50a6bc","year":2020},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:aefe677a19a9b395218889968ddf2acab05a7e8442d0578ff4cc2e13c27102d5","observation_id":"05843cf6-b93d-4a85-a007-60935d1a03c4","resolution":{"observed_at":"2026-07-10T09:37:00.972928Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:00.984746Z","title":null,"venue":null,"work_id":"4f3f6a8c-5200-463b-9a06-2c6fa196a4eb","year":2021},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:2737d4a28905ed6a534e0d6657a94f4f23fbccfec25629557596dc2458fab1f0","observation_id":"eb3a5f0c-0511-46a3-aeb6-917f7af7092d","resolution":{"observed_at":"2026-07-10T09:37:00.985775Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:00.964148Z","title":null,"venue":null,"work_id":"5ce9eaa1-cabd-4d02-ab56-ddb06c94aa55","year":2023},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:179becb8bc997db16383b01fb23422b3cb47ff9f3e84353d0ea03b403c572713","observation_id":"a0cbb8cb-1a29-418d-955b-d7bfb7bb254d","resolution":{"observed_at":"2026-07-10T09:37:00.965210Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:00.998187Z","title":"Folland,A course in abstract harmonic analysis, second ed., Textbooks in Mathe- matics, CRC Press, Boca Raton, FL, 2016","venue":null,"work_id":"81495859-320c-4bf6-a58d-8a5cc3329703","year":2016},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:053ba43919f8da61b9f56a1de69f4a07c82ef2307150797c25d8f3f8b00abee4","observation_id":"7f2e8c04-e5ba-4579-9312-88a7511df21e","resolution":{"observed_at":"2026-07-10T09:37:00.999524Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.001631Z","title":null,"venue":null,"work_id":"e6a4890e-57d2-469b-b2ca-9749934b869f","year":1943},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:e3dc32f7aa3aae4e87c3117f53c15a529f731139b3e58cad9b8c4a2d42d66acf","observation_id":"b56a4cfc-98cc-41d2-a0b4-6cc33065b95c","resolution":{"observed_at":"2026-07-10T09:37:01.002753Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.036568Z","title":null,"venue":null,"work_id":"70983253-ec0b-4c10-8c96-c09e21eee757","year":2024},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:95083217df1173929885395593f9516b8fc61d880b4d9ca568a0cf08c7121960","observation_id":"e9bd961c-0a20-44f2-a915-399098c50f9f","resolution":{"observed_at":"2026-07-10T09:37:01.037596Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2301.08315","last_updated":"2023-02-11T11:08:09Z","snapshot_observed_at":"2026-08-13T13:00:56.167725Z","submitted_at":"2023-01-19T21:07:10Z","title":"Nonlinear Functionals of Hyperbolic Random Waves: the Wiener Chaos Approach","version":2},"cited_work":{"arxiv_id":"2301.08315","doi":null,"metadata_source":"pith","pith_arxiv_id":"2301.08315","snapshot_observed_at":"2026-07-10T09:37:00.750390Z","title":"Nonlinear Functionals of Hyperbolic Random Waves: the Wiener Chaos Approach","venue":"math.PR","work_id":"8470830a-a7ae-4cd8-abf6-020c11540bc4","year":2023},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"cited_paper":"/paper/2301.08315","citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:42afdae870f95a5fbbd2c80e769585564f3cb414fa553fa86ff7985b7599537c","observation_id":"f7b4d66f-631f-4d3c-b6ca-c722172472fb","resolution":{"observed_at":"2026-07-10T09:37:00.751970Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.006485Z","title":null,"venue":null,"work_id":"334d82ab-0a34-4b6e-a442-fcc811bccd09","year":1960},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:578417c4cf6a61d00b6d5dfca89ec1b43e2cc898652c71ca026a80a0bd2d7d02","observation_id":"59da37ed-2fbc-4030-9ae7-b5acb7490017","resolution":{"observed_at":"2026-07-10T09:37:01.007512Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.012987Z","title":null,"venue":null,"work_id":"21db4cca-1c0d-4b77-b2d6-e1f0780c4178","year":2022},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:f5b51c968cad14a0b5b3a5d84c2e489f377f4e8a1bc1af9f894a7429c49f63cd","observation_id":"2f871d0e-174d-41d9-984f-185d93bfacae","resolution":{"observed_at":"2026-07-10T09:37:01.014054Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:00.991590Z","title":"Isangulova,Sharp estimates for geometric rigidity of isometries on the first Heisen- berg group, Dokl","venue":null,"work_id":"73271565-73cd-4d85-8537-51de87958a99","year":2019},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:3052ae4184464aee5c364b98efe8243a36f18c52f878f403bbf83a3ecaa69918","observation_id":"71f051ba-5982-4c8f-aaf2-4d769e218c85","resolution":{"observed_at":"2026-07-10T09:37:00.992764Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:00.993280Z","title":null,"venue":null,"work_id":"960934ed-b5e5-48fb-be0a-fc453fc86691","year":2017},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:f5a75ef7be810e1fab64717839b9653fc58901eb0904d3cc86cefc91afaf1d29","observation_id":"bdbc56f5-8b75-443f-9350-f5fadc4bb3ae","resolution":{"observed_at":"2026-07-10T09:37:00.994361Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.008029Z","title":"2, 719–762 (en)","venue":null,"work_id":"40d24ee1-bf9e-45f0-896e-137f15013480","year":2024},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:8b99a34036d2f2c0dfad98b358d1e29fae672285fd21825f3b76a527b258b416","observation_id":"5e3172fc-148f-4957-9e16-d3ac957c89a4","resolution":{"observed_at":"2026-07-10T09:37:01.009097Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.038127Z","title":"Kirillov,On unitary representation of nilpotent Lie groups, 108–110","venue":null,"work_id":"cdfc563d-1f0c-42f8-9d29-c342f72e365a","year":null},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:c55a542aa2e8d74b071b54f5ca910002c5a8b8d71204bf3891ef382e5dd17e1b","observation_id":"8580b616-a9cf-4af4-8dc8-007e18418026","resolution":{"observed_at":"2026-07-10T09:37:01.039510Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.025556Z","title":"Nauk17(1962), no","venue":null,"work_id":"6493791e-ca9d-4246-ba59-c4d5de3838e1","year":1962},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:f5275ae63d7a6ed1de09103aa78daf06a284595f154b38e24baf8c207fbd920a","observation_id":"266c190c-5dd9-4954-a621-e0914546516e","resolution":{"observed_at":"2026-07-10T09:37:01.026632Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.014595Z","title":"64, American Mathematical Society, Providence, RI, 2004","venue":null,"work_id":"09d62717-0e60-432f-9408-ff668099f563","year":2004},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:8b737b6c346afb3b1a8c68fe7979984efbfd2c8432a454fc9dace47412e0de15","observation_id":"940f48b4-8627-43e4-b033-a0e95735f6d7","resolution":{"observed_at":"2026-07-10T09:37:01.015727Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.028674Z","title":"I, II (Turin/Milan, 1982), Ist","venue":null,"work_id":"1f4b9883-5f8d-428c-89bd-db410f26ad13","year":1982},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:fed042ec83747ba9ad2c11b04d5e1eb4f3d8249fe33617969e4ca555b3f13d35","observation_id":"dc8f93a1-941e-4624-b442-03076598b112","resolution":{"observed_at":"2026-07-10T09:37:01.029828Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.030393Z","title":null,"venue":null,"work_id":"ed5b2bd6-1641-4960-98f6-74d33138d493","year":2023},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:0dae25f32513bc52f0824846e21c2f2e4ddc97259d3825217998b1fb85589b16","observation_id":"de31ac43-1c76-4342-8bdf-d5a655e14a38","resolution":{"observed_at":"2026-07-10T09:37:01.031384Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.034992Z","title":null,"venue":null,"work_id":"925307a5-8d6e-4142-9184-f74746db276e","year":2013},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:f5a3f9611978268f71da3b26fbcd6193a30bfabe43b9c68ecea0c54cbc59b63f","observation_id":"d04edd5a-9bb5-4715-b537-2791da1771e7","resolution":{"observed_at":"2026-07-10T09:37:01.036046Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.031879Z","title":"Mackey,Borel structure in groups and their duals, Trans","venue":null,"work_id":"35dc618f-7da5-40f3-8ad8-7bf6e2b8aa69","year":1957},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:81ff4877b190d9a6ca47d247fd555b987b23f8cc591b747ceb247d817c25bef1","observation_id":"29f4ca10-1ad8-4678-9e51-5b9cbee58845","resolution":{"observed_at":"2026-07-10T09:37:01.033020Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:00.976678Z","title":"MR 2977490 11","venue":null,"work_id":"09916359-787f-407b-888f-59fda58ef42d","year":2013},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:10c71a8e04ba395b207d516dd70f9b862e8e41803f74df1e40d14f6676fd166b","observation_id":"dab32186-25c2-417c-8515-b509f3fb2f19","resolution":{"observed_at":"2026-07-10T09:37:00.977766Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.011357Z","title":"337–365, 2023","venue":null,"work_id":"3868fdb8-295b-4620-baab-6b1ee1254fc4","year":2023},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:bfbe2637d58a49341ebb64f64b4d0fd7bb6bfc5b24d5a0f2f31dacf12e23cdcf","observation_id":"e9eef1b4-1151-4a56-a57b-3ea408ea6541","resolution":{"observed_at":"2026-07-10T09:37:01.012437Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.023967Z","title":"389, Cambridge University Press, Cambridge, 2011","venue":null,"work_id":"3325ff64-ab96-4e59-9f82-52edf7936665","year":2011},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:b9ab2620c3bc18d43b250ea69f940eb8b55e75ed58cdfc16d4d9fd0e4b2add9f","observation_id":"741772b3-a128-48e1-842d-d02bca5981c4","resolution":{"observed_at":"2026-07-10T09:37:01.025053Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:00.978345Z","title":null,"venue":null,"work_id":"56c14f60-dc3c-43ef-aef1-3ef3a2e1abeb","year":2016},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:a739b58fb919dc95093a243ff0fac6e5803f1f9bb884f3dae7907772d516b8fc","observation_id":"5781bbae-58b1-4fe9-8bd9-56e1c2f8feac","resolution":{"observed_at":"2026-07-10T09:37:00.979402Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.041637Z","title":null,"venue":null,"work_id":"ec418417-53bc-43db-a14e-48f0762a8c88","year":2015},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:7dafc6fbf64cc472bc0fcacdefc2df263da6a45764edc044070ffd09fe947a8e","observation_id":"cd4f4a4b-c7c6-4f09-b884-f23a6ceaeab7","resolution":{"observed_at":"2026-07-10T09:37:01.042651Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.020941Z","title":null,"venue":null,"work_id":"b8136626-ffb9-46e9-be13-79e2b27179ad","year":2026},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:fdf04362cd155a6230f3d6e612f6b226f4441e518cf7010085531dc79127acda","observation_id":"67925a83-9816-4356-a679-f1e4c6681a53","resolution":{"observed_at":"2026-07-10T09:37:01.021918Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.022419Z","title":"1, 374–390","venue":null,"work_id":"d9803258-f7ba-4b34-a6c8-20a8de6017e7","year":2020},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:5f7128cec2a557d25ce5aeb09d46f0965c232b0c925e27497d7eb1d1e447e705","observation_id":"dcc62594-44ea-4785-983f-1febaf90ce19","resolution":{"observed_at":"2026-07-10T09:37:01.023428Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:00.979939Z","title":null,"venue":null,"work_id":"223a80ec-c903-4f9d-9f11-6a2a77c7d359","year":1959},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:7f5f8644dbc782d0adaf6c0eb01a4e18ae6b1046aae8eb602fd0d4ac46ce2418","observation_id":"0b8c73e4-6721-49b6-ba8d-de07d1a2124e","resolution":{"observed_at":"2026-07-10T09:37:00.980989Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.009670Z","title":null,"venue":null,"work_id":"c0280fa6-ce98-432e-98bf-9144a49ff3c2","year":2023},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:dbaeace47fc1490b6f79497ed76e5fb2769f3a607512ad604f2a7a723fdecdb3","observation_id":"b0e86ba9-dc67-4a37-85f5-1e0366dfc5e7","resolution":{"observed_at":"2026-07-10T09:37:01.010785Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.019471Z","title":null,"venue":null,"work_id":"7e669625-75e3-4681-94ae-39f69d5a3b3a","year":2019},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:431e3d7c903af504ede68c9a79804ae67bb084076a054ac2c05149bfd52cf872","observation_id":"4edd7489-90cf-4f92-9364-c751635a7bb9","resolution":{"observed_at":"2026-07-10T09:37:01.020451Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:00.994890Z","title":"1, 109–130","venue":null,"work_id":"8122f71a-6d16-4933-8690-86283f107b56","year":2008},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:8134944e176ce0dccb2b685d3d95d9d04d21866cdb3224584d35c50688f98086","observation_id":"4fa7c746-5dad-4dde-bcf1-03a174310dfe","resolution":{"observed_at":"2026-07-10T09:37:00.996088Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.017934Z","title":null,"venue":null,"work_id":"d829db5b-e011-4846-8147-5b34a96bc19d","year":2026},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:28e75a07de88c8fdf1ef1306077260a9dcfec64006828b5ed936380ec9535237","observation_id":"006f5b83-ccd0-4c65-8785-8dcc30a03337","resolution":{"observed_at":"2026-07-10T09:37:01.018971Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:00.968504Z","title":"Strichartz,Harmonic analysis as spectral theory of Laplacians, J","venue":null,"work_id":"5ea16b23-1966-46c6-bc56-4ba25565be01","year":1989},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:537c9f9cb2ea353cfeb2876a1791d8ebf26cd40eb9e2b713c0a440973b2f3f93","observation_id":"bbd537d4-a22b-4d80-a8b5-7a40585dcf43","resolution":{"observed_at":"2026-07-10T09:37:00.969725Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:00.975072Z","title":null,"venue":null,"work_id":"42104790-7f6a-443b-be7f-5c2b9c16b56b","year":1939},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:749323059ff286cd1a9f1b1bc2c3d9644ff114c9fbf600e0613f7075845cba99","observation_id":"dd99df42-e505-4f10-a780-f3ab5bfdf4a1","resolution":{"observed_at":"2026-07-10T09:37:00.976111Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.000023Z","title":"4, 7, 8, 14, 15, 16, 17, 18","venue":null,"work_id":"c1f9a85f-920f-49d9-8b41-7b353c42edc0","year":1998},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:9cb3410a547c685ab8938be11b2e7f700e44ca25246624b4e9c689f222463687","observation_id":"439706e1-6ad2-484f-bb28-9e71db7fff80","resolution":{"observed_at":"2026-07-10T09:37:01.001118Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:01.003274Z","title":null,"venue":null,"work_id":"88e2b40c-4a3f-419f-a0cc-bf40a784c48f","year":2010},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:9c1085892788627235313608b1f79bcd5c62f57345b326104aca7b72fdcbea06","observation_id":"7b5c9a63-4f93-47b6-ac66-05657388e27f","resolution":{"observed_at":"2026-07-10T09:37:01.004299Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:00.996620Z","title":null,"venue":null,"work_id":"2bc16270-d830-4d00-8b0d-bb586224cee3","year":2023},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:e86f7f19b503081445348f5b9359a3f65b0d3cd8f13e9e2d5cc8284f5c5e3dae","observation_id":"1b903103-5828-4127-9fe9-8abf6579f77e","resolution":{"observed_at":"2026-07-10T09:37:00.997645Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:00.986309Z","title":"Yaglom,Second-order homogeneous random fields, Proc","venue":null,"work_id":"f69c18b8-ea98-43b4-b4e9-aa1c98ee471a","year":1960},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:be54120b0db828b16db5e7b1e5c160d5c75a7c547bcbb6f8fd4bd4b087e63ce9","observation_id":"9cf361b5-7787-4da5-b3dd-1c41fc1cd8dd","resolution":{"observed_at":"2026-07-10T09:37:00.987627Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:00.988169Z","title":null,"venue":null,"work_id":"701a3b19-825e-44bc-aefc-aa52c2d71fbb","year":1987},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:8d35386f31dc474752639045050b1506998ecb2b160e418d4680e066315bc9c2","observation_id":"1e9c3dec-b371-4650-8c7a-100dfcc15f42","resolution":{"observed_at":"2026-07-10T09:37:00.989214Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-10T09:37:00.973510Z","title":"Math., vol","venue":null,"work_id":"d8c89a94-8ee0-4760-a8c0-846e1e4b06d5","year":2009},"citing_paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-07-10T09:33:48.450860Z"},"links":{"citing_paper":"/paper/2607.08314"},"observation_digest":"sha256:feb81f08d1922352fd2cb94e64e917cc4399cf4b63584a44c6d8ad246d79c3cf","observation_id":"714259ed-7f6c-4da1-9b92-eb5ed13842bb","resolution":{"observed_at":"2026-07-10T09:37:00.974569Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2607.08314","last_updated":"2026-07-09T09:55:41Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-02T06:47:45.395139Z","submitted_at":"2026-07-09T09:55:41Z","title":"Berry-Heisenberg Random Waves"},"reference_resolution":{"displayed":50,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":24,"verified_exact":1,"verified_fuzzy":25},"total_outbound_references":50},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2607.08314."}