{"as_of":"2026-08-16T09:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a4df99d26a65dfe9167bef89e465aa0ab9f1829652bd15bef2fff313d857f516","coverage":[{"denominator":24,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":24,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T15:43:14.104799Z","state":"measured"},{"denominator":24,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":24,"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/1908.00730/citation-record","integrity":"/paper/1908.00730/integrity","json":"/paper/1908.00730/citation-record.json","paper":"/paper/1908.00730"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:43:15.026087Z","title":"Bloom and B","venue":null,"work_id":"2c9fb7dc-2c83-4069-bf85-57b569908c5c","year":2007},"citing_paper":{"arxiv_id":"1908.00730","last_updated":"2019-08-02T07:42:12Z","snapshot_observed_at":"2026-08-14T15:31:50.244640Z","submitted_at":"2019-08-02T07:42:12Z","title":"Zeros of repeated derivatives of random polynomials","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-14T15:43:13.891113Z"},"links":{"citing_paper":"/paper/1908.00730"},"observation_digest":"sha256:2c0dc06d6cad4dabdaae3277dd7ee1ccf5d87aae69ccbd3ba3ab3ad46aa9c084","observation_id":"c17635a3-a428-437a-a10e-2ae867669732","resolution":{"observed_at":"2026-08-14T15:43:15.032684Z","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":"2026-08-14T15:43:14.995117Z","title":"Bleher , B","venue":null,"work_id":"1d00277a-7cbd-426c-bdfc-b5b76c1e89e1","year":2000},"citing_paper":{"arxiv_id":"1908.00730","last_updated":"2019-08-02T07:42:12Z","snapshot_observed_at":"2026-08-14T15:31:50.244640Z","submitted_at":"2019-08-02T07:42:12Z","title":"Zeros of repeated derivatives of random polynomials","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-14T15:43:13.900367Z"},"links":{"citing_paper":"/paper/1908.00730"},"observation_digest":"sha256:4721075685a3bd1a53c958fc97fd0f15e733bfc08f08370b6b63f714276d154a","observation_id":"182f6bf6-b04b-485b-a731-9a0ff1eb3ad0","resolution":{"observed_at":"2026-08-14T15:43:15.004083Z","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":"2026-08-14T15:43:14.961821Z","title":"Carleman, \\\" Uber die Approximation analytischer Funktionen durch lineare Aggregate von","venue":null,"work_id":"cd9b6932-ecc8-46fc-bb1d-c24a1e0dcc1b","year":null},"citing_paper":{"arxiv_id":"1908.00730","last_updated":"2019-08-02T07:42:12Z","snapshot_observed_at":"2026-08-14T15:31:50.244640Z","submitted_at":"2019-08-02T07:42:12Z","title":"Zeros of repeated derivatives of random polynomials","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-14T15:43:13.911910Z"},"links":{"citing_paper":"/paper/1908.00730"},"observation_digest":"sha256:224cff08100dbb5610eacbf34bd2be8814b937967044bc5563232746f0ef335c","observation_id":"009b9b11-ddf8-45ad-8e77-0709efeebec9","resolution":{"observed_at":"2026-08-14T15:43:14.970746Z","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":"2026-08-14T15:43:14.942555Z","title":"Farmer and R","venue":null,"work_id":"526d81c7-7a52-4205-9844-72915b241580","year":2005},"citing_paper":{"arxiv_id":"1908.00730","last_updated":"2019-08-02T07:42:12Z","snapshot_observed_at":"2026-08-14T15:31:50.244640Z","submitted_at":"2019-08-02T07:42:12Z","title":"Zeros of repeated derivatives of random polynomials","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-14T15:43:13.918659Z"},"links":{"citing_paper":"/paper/1908.00730"},"observation_digest":"sha256:67a8b542ff4d141fcff70e51d26678dd7caf08c3fb6f7f8516dc98dbffebf041","observation_id":"9b3e39e0-010b-40cd-89a5-061a6f6f989f","resolution":{"observed_at":"2026-08-14T15:43:14.947511Z","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":"2026-08-14T15:43:14.908017Z","title":"Farmer and M","venue":null,"work_id":"2bda4277-79ed-4b3a-b058-42aaac440e0c","year":2006},"citing_paper":{"arxiv_id":"1908.00730","last_updated":"2019-08-02T07:42:12Z","snapshot_observed_at":"2026-08-14T15:31:50.244640Z","submitted_at":"2019-08-02T07:42:12Z","title":"Zeros of repeated derivatives of random polynomials","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-14T15:43:13.926951Z"},"links":{"citing_paper":"/paper/1908.00730"},"observation_digest":"sha256:30acf25ab60a5914125e8140adb6e36417ea78d2edd570bb269930143f27a78b","observation_id":"c664a136-c7e9-4291-9068-c87ef290efb6","resolution":{"observed_at":"2026-08-14T15:43:14.921121Z","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":"2026-08-14T15:43:14.877724Z","title":"Feng , Zeros of derivatives of Gaussian random polynomials on plane domain, preprint","venue":null,"work_id":"864be97d-b90f-4a3e-997b-ac206ddd613b","year":null},"citing_paper":{"arxiv_id":"1908.00730","last_updated":"2019-08-02T07:42:12Z","snapshot_observed_at":"2026-08-14T15:31:50.244640Z","submitted_at":"2019-08-02T07:42:12Z","title":"Zeros of repeated derivatives of random polynomials","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-14T15:43:13.934862Z"},"links":{"citing_paper":"/paper/1908.00730"},"observation_digest":"sha256:298c3bc767f8fb088315852776608fa5fbdbcf9de215c3dabfafb907e089eb25","observation_id":"242277ea-c529-4c32-bce1-48fb7099c2bf","resolution":{"observed_at":"2026-08-14T15:43:14.884833Z","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":"2026-08-14T15:43:14.848732Z","title":"Hanin , Correlations and Pairing Between Zeros and Critical Points of Gaussian Random","venue":null,"work_id":"41984951-0686-410a-b970-e0f380ca5384","year":null},"citing_paper":{"arxiv_id":"1908.00730","last_updated":"2019-08-02T07:42:12Z","snapshot_observed_at":"2026-08-14T15:31:50.244640Z","submitted_at":"2019-08-02T07:42:12Z","title":"Zeros of repeated derivatives of random polynomials","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-14T15:43:13.942968Z"},"links":{"citing_paper":"/paper/1908.00730"},"observation_digest":"sha256:85d884e45b85353e9df95e7d41afb24b14aab222459a4449af90728c22af0e0d","observation_id":"e39e5357-bc55-4baf-8f11-ee43743e7149","resolution":{"observed_at":"2026-08-14T15:43:14.856554Z","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":"2026-08-14T15:43:14.822672Z","title":null,"venue":null,"work_id":"f06ab77f-04fc-4637-ac5a-8dcd6b80391b","year":null},"citing_paper":{"arxiv_id":"1908.00730","last_updated":"2019-08-02T07:42:12Z","snapshot_observed_at":"2026-08-14T15:31:50.244640Z","submitted_at":"2019-08-02T07:42:12Z","title":"Zeros of repeated derivatives of random polynomials","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-14T15:43:13.948967Z"},"links":{"citing_paper":"/paper/1908.00730"},"observation_digest":"sha256:e6b9e84ad54f09ce88b317c815705065d117ea55758d9c28682cf867ce5b3299","observation_id":"2c89add0-bf37-40a3-be71-b95b06c3c99a","resolution":{"observed_at":"2026-08-14T15:43:14.833689Z","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":"2026-08-14T15:43:14.796268Z","title":"Hough , M","venue":null,"work_id":"af32350e-4758-4eb4-8e1e-918ca6f2acc7","year":2009},"citing_paper":{"arxiv_id":"1908.00730","last_updated":"2019-08-02T07:42:12Z","snapshot_observed_at":"2026-08-14T15:31:50.244640Z","submitted_at":"2019-08-02T07:42:12Z","title":"Zeros of repeated derivatives of random polynomials","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-14T15:43:13.954680Z"},"links":{"citing_paper":"/paper/1908.00730"},"observation_digest":"sha256:7c1d8379b7650328b75428ca0dead29df09670a3fee458dca8e1148e66f45b8e","observation_id":"613c3b65-9c23-49fa-97d5-f41d0401995c","resolution":{"observed_at":"2026-08-14T15:43:14.802232Z","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":"2026-08-14T15:43:14.772027Z","title":"Ibragimov and O","venue":null,"work_id":"6d0de73d-befa-4a2e-aa1a-40fe9f200b07","year":1997},"citing_paper":{"arxiv_id":"1908.00730","last_updated":"2019-08-02T07:42:12Z","snapshot_observed_at":"2026-08-14T15:31:50.244640Z","submitted_at":"2019-08-02T07:42:12Z","title":"Zeros of repeated derivatives of random polynomials","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-14T15:43:13.960761Z"},"links":{"citing_paper":"/paper/1908.00730"},"observation_digest":"sha256:2f3f88fbcb9e04742e38eff72a5c7da9a866a61d466c45b837ef2ed46f78fdcc","observation_id":"9bddd85a-7788-44cb-87f6-5f53e890526b","resolution":{"observed_at":"2026-08-14T15:43:14.780071Z","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":"2026-08-14T15:43:14.741570Z","title":"Ibragimov and D.N","venue":null,"work_id":"b9b29913-c1d6-4bd3-ace1-ce5bb0d9f99a","year":2013},"citing_paper":{"arxiv_id":"1908.00730","last_updated":"2019-08-02T07:42:12Z","snapshot_observed_at":"2026-08-14T15:31:50.244640Z","submitted_at":"2019-08-02T07:42:12Z","title":"Zeros of repeated derivatives of random polynomials","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-14T15:43:13.984306Z"},"links":{"citing_paper":"/paper/1908.00730"},"observation_digest":"sha256:a71bbd608e4cc6ba9adf0fbacfe70fb6944a9a0aa1b24f3d25ae24303df83c51","observation_id":"e2630569-05e2-4e6f-ad3b-14eba7740e25","resolution":{"observed_at":"2026-08-14T15:43:14.753734Z","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":"2026-08-14T15:43:14.711333Z","title":"Kac , On the average number of real roots of a random algebraic equation","venue":null,"work_id":"e925e99c-9b66-4ebe-b372-750361b0d067","year":1943},"citing_paper":{"arxiv_id":"1908.00730","last_updated":"2019-08-02T07:42:12Z","snapshot_observed_at":"2026-08-14T15:31:50.244640Z","submitted_at":"2019-08-02T07:42:12Z","title":"Zeros of repeated derivatives of random polynomials","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-14T15:43:13.994361Z"},"links":{"citing_paper":"/paper/1908.00730"},"observation_digest":"sha256:bbc19ef578ec0535ce153be546d0c24251339a6e3315657b7b37a1bdcc9156a6","observation_id":"6d32a564-388c-4742-bb26-438313a179f6","resolution":{"observed_at":"2026-08-14T15:43:14.723838Z","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":"2026-08-14T15:43:14.689871Z","title":"Kabluchko, Critical points of random polynomials with independent identically distributed roots, Proc","venue":null,"work_id":"9aa231f5-199c-49be-8d47-36efb1c97fb1","year":2015},"citing_paper":{"arxiv_id":"1908.00730","last_updated":"2019-08-02T07:42:12Z","snapshot_observed_at":"2026-08-14T15:31:50.244640Z","submitted_at":"2019-08-02T07:42:12Z","title":"Zeros of repeated derivatives of random polynomials","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-14T15:43:14.001425Z"},"links":{"citing_paper":"/paper/1908.00730"},"observation_digest":"sha256:017e2427c760b1824290e78bfa7661806e45565aea3f259d5d5bdd099426a17e","observation_id":"71cd9e19-b222-460e-b536-000a3ad29d12","resolution":{"observed_at":"2026-08-14T15:43:14.696054Z","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":"2026-08-14T15:43:14.665278Z","title":"Kabluchko and D","venue":null,"work_id":"4881a504-4837-46b1-8036-fbaf6adb3ad9","year":2013},"citing_paper":{"arxiv_id":"1908.00730","last_updated":"2019-08-02T07:42:12Z","snapshot_observed_at":"2026-08-14T15:31:50.244640Z","submitted_at":"2019-08-02T07:42:12Z","title":"Zeros of repeated derivatives of random polynomials","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-14T15:43:14.008785Z"},"links":{"citing_paper":"/paper/1908.00730"},"observation_digest":"sha256:b00e2b1093caf6b6661ae97b75f0b340062be4d7c13495d9323f0fe729d84494","observation_id":"cf5224f9-62d2-4024-93ec-499cd6260815","resolution":{"observed_at":"2026-08-14T15:43:14.676544Z","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":"2026-08-14T15:43:14.634204Z","title":"Kabluchko and D","venue":null,"work_id":"4077e4be-0a7c-41fb-a78a-1689e290ca3d","year":2014},"citing_paper":{"arxiv_id":"1908.00730","last_updated":"2019-08-02T07:42:12Z","snapshot_observed_at":"2026-08-14T15:31:50.244640Z","submitted_at":"2019-08-02T07:42:12Z","title":"Zeros of repeated derivatives of random polynomials","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-14T15:43:14.017213Z"},"links":{"citing_paper":"/paper/1908.00730"},"observation_digest":"sha256:f1d0aa526f965c6b17132456dfeebcbea63c30bdb20e51ceaa1de3bfc3586fb4","observation_id":"d01d9f1d-d6d0-4cb4-a407-8f30d3078302","resolution":{"observed_at":"2026-08-14T15:43:14.645709Z","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":"2026-08-14T15:43:14.596508Z","title":"P\\'olya and J","venue":null,"work_id":"1115c6d1-44dc-4c98-9702-600b36b085ce","year":null},"citing_paper":{"arxiv_id":"1908.00730","last_updated":"2019-08-02T07:42:12Z","snapshot_observed_at":"2026-08-14T15:31:50.244640Z","submitted_at":"2019-08-02T07:42:12Z","title":"Zeros of repeated derivatives of random polynomials","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-14T15:43:14.023879Z"},"links":{"citing_paper":"/paper/1908.00730"},"observation_digest":"sha256:18bbf198b89919a62ca544d8a3ec783391bf6b3cd7e0c863094f933eca8e37b5","observation_id":"4e970a54-40f2-4473-bf39-b35b68245cad","resolution":{"observed_at":"2026-08-14T15:43:14.603936Z","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":"2026-08-14T15:43:14.565597Z","title":"Pemantle and I","venue":null,"work_id":"9667e2ef-594b-40d6-b41f-6a676e08d328","year":2013},"citing_paper":{"arxiv_id":"1908.00730","last_updated":"2019-08-02T07:42:12Z","snapshot_observed_at":"2026-08-14T15:31:50.244640Z","submitted_at":"2019-08-02T07:42:12Z","title":"Zeros of repeated derivatives of random polynomials","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-14T15:43:14.034535Z"},"links":{"citing_paper":"/paper/1908.00730"},"observation_digest":"sha256:f1526c094a58628d399b379c60206c74e9f748b4b58a46c31be11455ac1774b4","observation_id":"69960560-a8b8-48d0-8a8c-b5d8ef8aee41","resolution":{"observed_at":"2026-08-14T15:43:14.575622Z","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":"2026-08-14T15:43:14.533292Z","title":"Sodin and B","venue":null,"work_id":"eb61e77b-d53d-4786-bcec-a128f998a7c5","year":2004},"citing_paper":{"arxiv_id":"1908.00730","last_updated":"2019-08-02T07:42:12Z","snapshot_observed_at":"2026-08-14T15:31:50.244640Z","submitted_at":"2019-08-02T07:42:12Z","title":"Zeros of repeated derivatives of random polynomials","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-14T15:43:14.053049Z"},"links":{"citing_paper":"/paper/1908.00730"},"observation_digest":"sha256:eb41f56bf70c346783fcf4b5291bb6c94cc7b40eef90b19831e4f7715ab93f49","observation_id":"a4eeeaf6-5cb1-418b-a3be-fd20a0a54237","resolution":{"observed_at":"2026-08-14T15:43:14.543442Z","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":"2026-08-14T15:43:14.507286Z","title":"Szeg\\\" o , Orthogonal polynomials, fourth edition, American Mathematical Society, Colloquium Publications, Vol","venue":null,"work_id":"945de820-25a0-4463-9711-7fad8b7e7b50","year":1975},"citing_paper":{"arxiv_id":"1908.00730","last_updated":"2019-08-02T07:42:12Z","snapshot_observed_at":"2026-08-14T15:31:50.244640Z","submitted_at":"2019-08-02T07:42:12Z","title":"Zeros of repeated derivatives of random polynomials","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-14T15:43:14.064062Z"},"links":{"citing_paper":"/paper/1908.00730"},"observation_digest":"sha256:a05cf5c74942aafbfd1c71b06aea5b77f235c59709e47b546fb4440a1685cb38","observation_id":"9bcae5a7-036b-4bb7-ae44-51add5061c92","resolution":{"observed_at":"2026-08-14T15:43:14.515980Z","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":"2026-08-14T15:43:14.462561Z","title":"O'Rourke, Critical Points of Random Polynomials and Characteristic Polynomials of Random Matrices, Int Math Res Notices (2015),","venue":null,"work_id":"650579cd-3a1e-41fa-bab2-76509c2320f6","year":2015},"citing_paper":{"arxiv_id":"1908.00730","last_updated":"2019-08-02T07:42:12Z","snapshot_observed_at":"2026-08-14T15:31:50.244640Z","submitted_at":"2019-08-02T07:42:12Z","title":"Zeros of repeated derivatives of random polynomials","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-14T15:43:14.070887Z"},"links":{"citing_paper":"/paper/1908.00730"},"observation_digest":"sha256:6f86ab669e7ec828b5fcd0545c41a8f2ce767d40f454e72b5e838e2935fe5823","observation_id":"1fe3af7e-320a-4ecf-9264-e7c5caa86f0c","resolution":{"observed_at":"2026-08-14T15:43:14.473715Z","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":"2026-08-14T15:43:14.439273Z","title":"Subramanian, On the distribution of critical points of a polynomial, Electron","venue":null,"work_id":"ff2ce7a5-5a19-408f-9f2e-8bfa166d7815","year":null},"citing_paper":{"arxiv_id":"1908.00730","last_updated":"2019-08-02T07:42:12Z","snapshot_observed_at":"2026-08-14T15:31:50.244640Z","submitted_at":"2019-08-02T07:42:12Z","title":"Zeros of repeated derivatives of random polynomials","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-14T15:43:14.078708Z"},"links":{"citing_paper":"/paper/1908.00730"},"observation_digest":"sha256:4015a56fccc9337edc8163728547c56780d9a277489013d1ded312a700fd0069","observation_id":"940aa441-b204-4a35-a358-11b1a0ef4edf","resolution":{"observed_at":"2026-08-14T15:43:14.447729Z","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":"2026-08-14T15:43:14.249164Z","title":"Tao and V","venue":null,"work_id":"49afa787-f8a0-4224-a763-4900950e484a","year":null},"citing_paper":{"arxiv_id":"1908.00730","last_updated":"2019-08-02T07:42:12Z","snapshot_observed_at":"2026-08-14T15:31:50.244640Z","submitted_at":"2019-08-02T07:42:12Z","title":"Zeros of repeated derivatives of random polynomials","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-14T15:43:14.087812Z"},"links":{"citing_paper":"/paper/1908.00730"},"observation_digest":"sha256:d6b53783bdd68a4e07d4e7b14837b69ad9446accd2dccbb935f8446d8bce289c","observation_id":"7a634872-8d33-4333-b913-debe1bed6a18","resolution":{"observed_at":"2026-08-14T15:43:14.256962Z","resolver_source":"raw_fallback","status":"parse_uncertain"},"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":"2026-08-14T15:43:14.220322Z","title":"Shepp and R","venue":null,"work_id":"5915dd5a-c4b9-40d2-ab95-7e4326c3cfbb","year":1995},"citing_paper":{"arxiv_id":"1908.00730","last_updated":"2019-08-02T07:42:12Z","snapshot_observed_at":"2026-08-14T15:31:50.244640Z","submitted_at":"2019-08-02T07:42:12Z","title":"Zeros of repeated derivatives of random polynomials","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-14T15:43:14.096944Z"},"links":{"citing_paper":"/paper/1908.00730"},"observation_digest":"sha256:51d0b2d2e693207c3b7da1620abaead9e27672d84272bd321d0c4658704df0e0","observation_id":"dce3220c-79a9-4692-928f-1f45d9fb3428","resolution":{"observed_at":"2026-08-14T15:43:14.226506Z","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":"2026-08-14T15:43:14.184296Z","title":"Shiffman and S","venue":null,"work_id":"c2925afd-323c-484b-a551-5fbde75c0de4","year":null},"citing_paper":{"arxiv_id":"1908.00730","last_updated":"2019-08-02T07:42:12Z","snapshot_observed_at":"2026-08-14T15:31:50.244640Z","submitted_at":"2019-08-02T07:42:12Z","title":"Zeros of repeated derivatives of random polynomials","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-14T15:43:14.104799Z"},"links":{"citing_paper":"/paper/1908.00730"},"observation_digest":"sha256:59b9bfdfd3f47c955d2cb70783a0c74b89b66adefd2a7b971679252c63027075","observation_id":"6bffea91-3a87-4e29-b942-419682edb5ea","resolution":{"observed_at":"2026-08-14T15:43:14.192522Z","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":"1908.00730","last_updated":"2019-08-02T07:42:12Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-14T15:31:50.244640Z","submitted_at":"2019-08-02T07:42:12Z","title":"Zeros of repeated derivatives of random polynomials"},"reference_resolution":{"displayed":24,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":1,"unresolved":1,"verified_exact":0,"verified_fuzzy":22},"total_outbound_references":24},"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 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:1908.00730."}