{"as_of":"2026-08-16T23:43:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:bea8d7c8f0626cd635b1b4a1ca8d2c8f448dc546ae20bd7ea0a133bafdc6c483","coverage":[{"denominator":34,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":34,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T15:07:27.374519Z","state":"measured"},{"denominator":34,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":34,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/1908.02234/citation-record","integrity":"/paper/1908.02234/integrity","json":"/paper/1908.02234/citation-record.json","paper":"/paper/1908.02234"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:07:28.842821Z","title":"Bleher and X","venue":null,"work_id":"fdc15b1d-d6a3-46fb-9d66-ed8d432f6d30","year":1997},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.073590Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:b8d201bd841a1b2957293d28808f58d3c25a971a02746b675b063f9c2a42ae9e","observation_id":"42692979-f69b-475c-9113-9e32add1492c","resolution":{"observed_at":"2026-08-14T15:07:28.850330Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:28.818672Z","title":"Bloch and G","venue":null,"work_id":"a870755c-66dc-4013-96da-c0bcc4db0be6","year":1932},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.083899Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:ddeebcb7a78eaf76d786e7e75b829970f18a1f45d5d20d7da2543d97aedd2049","observation_id":"9375c689-36a8-46f1-953e-9b502a8fd813","resolution":{"observed_at":"2026-08-14T15:07:28.825736Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:28.791144Z","title":null,"venue":null,"work_id":"f82aef70-a9bb-462f-8615-499f7a0b79ac","year":1986},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.091420Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:50bf5e84dd3d489a511806f07fea692c198041798d36022dd9d44257f7d76624","observation_id":"8255a318-f93e-463d-a800-282db1276471","resolution":{"observed_at":"2026-08-14T15:07:28.797944Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:28.758704Z","title":"Bogomolny, O","venue":null,"work_id":"bfd0a803-376e-4237-be55-9066f0a44c8c","year":1996},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.100236Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:4178d7c33fc56120933ca26ff103ac4916836ebd99c7970c716bbc5edccefbf9","observation_id":"8cdc7f8d-efc1-4a97-97c8-13533add7268","resolution":{"observed_at":"2026-08-14T15:07:28.769542Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:28.726847Z","title":"Edelman and E","venue":null,"work_id":"b40c0277-5bee-4804-b83b-1ead68c4b3d5","year":1995},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.108088Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:4142176ab6e9bbf7198a52c05fccaccd5a9714745bcaf4a8c85f4e4df619c089","observation_id":"94fa71b9-526f-41fd-a0a4-4e996e83f7b1","resolution":{"observed_at":"2026-08-14T15:07:28.736286Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:28.703906Z","title":"Erd˝ os and A","venue":null,"work_id":"6807fe76-73c2-4225-9434-e601012898c1","year":1956},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.118169Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:0401c4875b16c0fc0c812250ca7f0daaa40f89bd9046f5eb48dac745f6d1dcca","observation_id":"bba5d70c-3d56-4656-83b7-6d1a681358e8","resolution":{"observed_at":"2026-08-14T15:07:28.711635Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:28.677514Z","title":"Erd˝ os and P","venue":null,"work_id":"2b8cb671-e02a-4f61-9319-b85a3a411a81","year":1950},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.126352Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:7ab65f936c9de5d0aeb0f8f6a3beece7216b0434ae40841b49485714acf9ad1b","observation_id":"c90bba10-c553-447c-a1e2-5e3b076c3e38","resolution":{"observed_at":"2026-08-14T15:07:28.684312Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:28.470433Z","title":"Farahmand, Topics in random polynomials, Pitman Res","venue":null,"work_id":"3febf960-b615-4178-93d0-184d61d513e0","year":1998},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.135019Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:0aa95edc41b5a45f1d72df8818299bd5786f8b7b033dac2188e1db235a0fedf6","observation_id":"0dba1700-aef5-434c-90fd-39ac888a3bf8","resolution":{"observed_at":"2026-08-14T15:07:28.485239Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:28.445914Z","title":"Farahmand, On the variance of the number of real zeros of a random trignometric polynomial, J","venue":null,"work_id":"16c045da-d2c5-4ec9-8a85-c806ec48ac79","year":2001},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.145305Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:bae1fb2edfd7a57397b14d97f69b19c8a0d4e8225f536cd34c2c2ef4c4ea86f8","observation_id":"6604d3d4-1a7f-432d-9f25-a926b5ee2d93","resolution":{"observed_at":"2026-08-14T15:07:28.453159Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:28.416370Z","title":"Fairley, Roots of random polynomials, Ph.D","venue":null,"work_id":"5bd0bb8e-1de4-4f98-ae29-6b753a7b6348","year":1968},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.155218Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:e6f88d12bc5c14fd6b2b5c9c5519b09ece9b5c9a9d65f98c4ea71913d66e3d3f","observation_id":"ac009e9e-cfb6-407c-988e-da00c11622dc","resolution":{"observed_at":"2026-08-14T15:07:28.425228Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:28.378244Z","title":"Forrester and G","venue":null,"work_id":"f05b4ef0-79ba-4b0c-a025-4f133c2b51b4","year":1999},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.162639Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:8b824e9ff91d5e699c3f3471aa8b5c04f655d15b7d1101720981993f8528526d","observation_id":"278a8ae0-7a48-4b4a-a34f-189b53f9c9d1","resolution":{"observed_at":"2026-08-14T15:07:28.386605Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:28.329797Z","title":"Granville and I","venue":null,"work_id":"aa5d5ed5-a7e3-463e-a3e4-1bbd3c8cb86f","year":2011},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.169673Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:cd7144e58830ffc2557d2aa71b30aeabe4f4ee7a6ba8d23bbc062fb5cece8407","observation_id":"a26936b6-e439-4602-9ee4-ff0bf04bd4c4","resolution":{"observed_at":"2026-08-14T15:07:28.343749Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:28.294930Z","title":"Hammersley, The zeros of a random polynomial, Proc","venue":null,"work_id":"80ce14fa-32ab-4569-bb38-8c8caeb05cb6","year":1956},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.189188Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:f8803f23497d3628a6591fc4b819d7d332676d83453737861b02c2b78e3eff01","observation_id":"3b7c205b-13c2-47cf-b354-f212b1ff214c","resolution":{"observed_at":"2026-08-14T15:07:28.305636Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:28.259222Z","title":"Hannay, Chaotic analytic zero points: exact statistics for t hose of a random spin state, J","venue":null,"work_id":"1f6b521b-c69e-4c83-90bd-10b67e9e157e","year":1996},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.200053Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:6f45f8dc1fb17692739a23b75d41433bfe02c739f47e3bfc70e843a52d49d6fa","observation_id":"9fc40455-b1f6-4ecd-a354-7abaa1776360","resolution":{"observed_at":"2026-08-14T15:07:28.271093Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:28.229947Z","title":"Hough, M","venue":null,"work_id":"05aaafaf-0f2b-45f3-b110-ecae58919f9f","year":2009},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.212995Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:31a621c67f6780471743fa9c07a648b733f3856680248b96f989a3fab4f66446","observation_id":"cfe480b7-b85c-4fd4-bca0-cd3753412b90","resolution":{"observed_at":"2026-08-14T15:07:28.239748Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:28.198262Z","title":"Jamrom, On the average number of real roots of a random a lgebraic polynomial, Vestnik Leningrad","venue":null,"work_id":"5b6fbcd5-f82a-461c-8405-176f6b5187ec","year":1971},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.228992Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:48bb75fc9611f0c04d25f1eede76a3d85bbbecb9509ef2c76a18fe92379c5591","observation_id":"fa67128c-3527-4ed3-aef5-4139e0a88146","resolution":{"observed_at":"2026-08-14T15:07:28.209195Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:28.164534Z","title":"Jamrom, The average number of real zeros of random polyn omials, Soviet Math","venue":null,"work_id":"2360357b-0e00-4bb2-bb8f-90f70b8c3f62","year":1972},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.239273Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:6de0d36bcd2d1a9e74951d43f19df8cea2a229ad943571af2fe34e606e62aaf1","observation_id":"5a74db5f-e472-40a9-aaa0-ca4be34775d5","resolution":{"observed_at":"2026-08-14T15:07:28.178900Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:28.127456Z","title":"Kac, On the average number of real roots of a random algeb raic equation, Bull","venue":null,"work_id":"542bc2b9-fbbe-4b25-982b-1312671d9cfb","year":1943},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.247999Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:2a8ddff30ed8c8b01ef602331d82bf05f94a08f3d42fcc6647e658cbf41ab63d","observation_id":"ec103b3b-a016-4222-a217-96c64ae799cf","resolution":{"observed_at":"2026-08-14T15:07:28.140579Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:28.064295Z","title":"Littlewood and A","venue":null,"work_id":"a51e8faa-3f59-4d27-9adf-04f836f5301c","year":1945},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.256139Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:834da25e425ea0155b627a80b5806bec567ea8ef68abdf8bcae51df35cd2be9e","observation_id":"477bfcaf-4f98-48f9-a17d-68236f79a856","resolution":{"observed_at":"2026-08-14T15:07:28.080872Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:28.027939Z","title":"Littlewood and A","venue":null,"work_id":"8b59df70-9450-4ff8-a1b6-ed8f4fda16b0","year":1948},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.264179Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:f83681ffab075bda5b0a1e084f67a8f2d56daf79cd71fb6ad6b3cba1a83de77b","observation_id":"f46c14f8-845b-4868-9ab2-9dd480928298","resolution":{"observed_at":"2026-08-14T15:07:28.035962Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:27.988088Z","title":"Littlewood and A","venue":null,"work_id":"8af448d4-9938-4383-97a1-4b85ac307572","year":1938},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.273730Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:a9d770fff86ac6d8168136803ec4902ce0ffa197f5ed88300c1240ece1c913cc","observation_id":"64767435-0020-4d2e-8a8d-f9b5c0b61d1b","resolution":{"observed_at":"2026-08-14T15:07:27.999056Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:27.953574Z","title":"Littlewood and A","venue":null,"work_id":"e304420b-97d7-4640-926a-d21c17f6bb0f","year":1939},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.286833Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:1f1fd51e392ff366201e26e5db4861b012a4af5efe531f97d2fc9d3910f748ad","observation_id":"488d6ebb-f3c2-49f6-b55e-b600e3d50adf","resolution":{"observed_at":"2026-08-14T15:07:27.968450Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:27.911215Z","title":"Littlewood and A","venue":null,"work_id":"37087d89-165b-44b6-bb9d-f0f816a4596e","year":1943},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.294311Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:974a8c862b8a95d9729c563feb1bc841559013b9ad39914b1daa74505cf0925b","observation_id":"ec66fc5f-a02e-4593-a478-69b54316e788","resolution":{"observed_at":"2026-08-14T15:07:27.920128Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:27.873185Z","title":"Maslova, The variance of the number of real roots of rando m polynomials, Theor","venue":null,"work_id":"0bb49788-8d02-420b-8c27-8016fb44d12b","year":1974},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.300554Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:c9c63ea3e38d8b2225c436c1b31166a79bf35fce7ac8edd90792c504c05006d4","observation_id":"f6ccf9ba-dd69-47ce-8088-df9260c70c89","resolution":{"observed_at":"2026-08-14T15:07:27.885283Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1904.04347","last_updated":"2020-12-20T05:55:05Z","snapshot_observed_at":"2026-08-14T16:49:40.798530Z","submitted_at":"2019-04-08T20:49:17Z","title":"Random polynomials: central limit theorems for the real roots","version":3},"cited_work":{"arxiv_id":"1904.04347","doi":null,"metadata_source":"pith","pith_arxiv_id":"1904.04347","snapshot_observed_at":"2026-08-14T15:07:27.458615Z","title":"Random polynomials: central limit theorems for the real roots","venue":"math.PR","work_id":"3b09cdff-ee33-4de8-b253-915e286025af","year":2019},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.308903Z"},"links":{"cited_paper":"/paper/1904.04347","citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:a8fed893f7c3ea4a6fdb0eb22ab4e046f25148bbd15d80aad426986255b94314","observation_id":"6ea4a2cc-ce30-442b-9657-3ce65208ed91","resolution":{"observed_at":"2026-08-14T15:07:27.470022Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:27.846149Z","title":"Pritsker and A","venue":null,"work_id":"3de1cab2-613f-4ead-a867-eb748b8a0349","year":2015},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.317131Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:4ebb1c706d1a7b8abea4e09fabb6ea837238e6a06f28e9aa34ec50024eeefb25","observation_id":"31a9ab29-74bb-4d9d-865a-2eb396d13b7e","resolution":{"observed_at":"2026-08-14T15:07:27.852294Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:27.811547Z","title":"Rice, Mathematical theory of random noise, Bell System Tec h J","venue":null,"work_id":"19f66d71-481c-437e-a2d4-252933954c79","year":1945},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.323024Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:bff6ab41c4d137afacceedc03612e697eafa125f446611ba6a946c3ac03a28a2","observation_id":"847d5164-0b7a-4c0c-87d2-01d2288cc4b5","resolution":{"observed_at":"2026-08-14T15:07:27.819676Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:27.776281Z","title":"Shiffman and S","venue":null,"work_id":"0d04d211-7a16-4768-adbd-b4f0c7cd5eed","year":2008},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.330832Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:010eee7d59025aff5a2cc41d8ab0f3b7e8ed26ef12cb63975e1b2f6c44cffea4","observation_id":"8718bf88-cffa-4627-9822-c07248d8f224","resolution":{"observed_at":"2026-08-14T15:07:27.785850Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:27.728208Z","title":"Simon, Orthogonal Polynomials on the Unit Circle","venue":null,"work_id":"ddc04966-d471-47b7-b935-a886d96f1c22","year":2005},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.339613Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:f995057acfd698c1e1094f36033bfbb29e024fd7df42c92fbaa7d686f2ae2fc7","observation_id":"a2f163c3-8daf-47df-a8a7-900f71d85432","resolution":{"observed_at":"2026-08-14T15:07:27.741065Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:27.674439Z","title":"Stevens, The average and variance of the number of real z eros of random functions","venue":null,"work_id":"15005dc7-2f5c-41f9-ac56-c5eeee5f95c8","year":1965},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.346041Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:394552f4443c71bd4fdcd4c128685975f8063d848c31b1d20ba386e9df926b75","observation_id":"e537b015-9452-4394-b9fc-bcf378e61c61","resolution":{"observed_at":"2026-08-14T15:07:27.686002Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:27.626988Z","title":"Su and Q","venue":null,"work_id":"e090d667-ad57-4433-85a8-e1d964734117","year":2012},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.353079Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:8a2e790c716bdfe681f57c5088196cb1817034985f7ec2837c6387ea9b7d81e7","observation_id":"ec4769cf-8736-447e-ad07-030591058032","resolution":{"observed_at":"2026-08-14T15:07:27.638864Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:27.588011Z","title":"Wang, Bounds on the average number of real roots of a ran dom algebraic equation (Chinese), Chinese Ann","venue":null,"work_id":"08fc8b5b-a5ba-484d-abd2-3ff69656437a","year":1983},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.359198Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:9a3f884ae9dc4457f8d97c0a93638cf75b5405d6b294a54bf3ff6546c60291a0","observation_id":"21d891dc-c3ba-4a24-9e9a-5ba0c4085c67","resolution":{"observed_at":"2026-08-14T15:07:27.598358Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:27.528681Z","title":"Wilkins, An asymptotic expansion for the expected number of real zeros of a random polynomial, Proc","venue":null,"work_id":"b06fe8ef-60c7-46be-bf59-b3e4f9e87605","year":1988},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.367145Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:ce7f55c6e6d995720216842ad97203a5ff9fc37178a0676a4429ad891bc0fbdc","observation_id":"20f13e6a-d4c8-403d-abc4-e70fd77e364b","resolution":{"observed_at":"2026-08-14T15:07:27.536647Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:07:27.493483Z","title":"Yeager, Zeros of random orthogonal polynomials with comple x Gaussian coefficients, Rocky Mout","venue":null,"work_id":"801c1cbf-369d-4c2a-86f4-833669aa1090","year":2018},"citing_paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T15:07:27.374519Z"},"links":{"citing_paper":"/paper/1908.02234"},"observation_digest":"sha256:46230832ef6d5b79704a45d2801b68ba1ddedde1f346dfcc928f8a67333e38a5","observation_id":"c12271fd-ed15-4a1d-b61f-7c49a4851f43","resolution":{"observed_at":"2026-08-14T15:07:27.505487Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.02234","last_updated":"2019-08-06T16:19:22Z","latest_version":1,"primary_category":"math.CA","snapshot_observed_at":"2026-08-16T03:20:23.087774Z","submitted_at":"2019-08-06T16:19:22Z","title":"The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC"},"reference_resolution":{"displayed":34,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":1,"verified_fuzzy":32},"total_outbound_references":34},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:1908.02234."}