{"as_of":"2026-08-17T00:07:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5b43d3e07e316a4bbd3c84c1dbe4f65c0bbd207fb14bb182125c13dbb1becefd","coverage":[{"denominator":31,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":31,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:53:42.331352Z","state":"measured"},{"denominator":31,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":31,"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/1908.04618/citation-record","integrity":"/paper/1908.04618/integrity","json":"/paper/1908.04618/citation-record.json","paper":"/paper/1908.04618"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:53:44.644769Z","title":"Aksoy-Yazici, B","venue":null,"work_id":"2bc975b8-b434-4713-b24c-ba9d49205d27","year":2017},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:41.844998Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:5d5e3620dd443ed0b1c29acc86ab557aa63bcb2f618e5da3c76143a9a6f7aa38","observation_id":"d70eb653-66c8-4962-99fc-0be442c6ec93","resolution":{"observed_at":"2026-08-14T13:53:44.660674Z","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":"2026-08-14T13:53:44.610343Z","title":"Bennett, D","venue":null,"work_id":"5176a02c-840b-47dd-9cf1-dd3e8d8722d1","year":2017},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:41.858346Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:3b760d2198abff67f92d1b11c4bdffbed00a97cdc3231f6fa15ffc8cf427cc45","observation_id":"0ad5448a-9603-4812-bcfe-bfd33c75eee5","resolution":{"observed_at":"2026-08-14T13:53:44.620516Z","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":"2026-08-14T13:53:44.561470Z","title":"Blaschke , Kinematik und quaternionen , vol","venue":null,"work_id":"9220a12e-13ac-4136-a366-b47507382b20","year":1960},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:41.869144Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:b76e73ee8db4989fc966206efbf8edb781c6f5114fae7e6ea72aac4ed8535a96","observation_id":"91850a63-561e-4ea8-9c4f-bca77e5f6d89","resolution":{"observed_at":"2026-08-14T13:53:44.577298Z","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":"2026-08-14T13:53:44.526192Z","title":"Bottema and B","venue":null,"work_id":"1e215801-bf31-46ff-8a5e-d35716e2f990","year":1990},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:41.884961Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:035fcaae9aaf30d490e3e902cfea6387caa8cf7446c8c686616eb1107b1fddb1","observation_id":"0bf6ab44-b4f0-4fd1-83a4-89f9321f1a1b","resolution":{"observed_at":"2026-08-14T13:53:44.533842Z","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":"2026-08-14T13:53:44.484570Z","title":"Bourgain , More on the sum-product phenomenon in prime ﬁelds and its app lications, Int","venue":null,"work_id":"ef3b2f15-20c9-4c6a-8061-dc8e25002a77","year":2005},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:41.891704Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:14010db1d31b3c5d87cb64891c4bfa20d605de0762ff9a0b4d54b8f936d24458","observation_id":"c63b714d-a877-41b5-aed8-459ae18810f2","resolution":{"observed_at":"2026-08-14T13:53:44.503190Z","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":"2026-08-14T13:53:44.362763Z","title":"Chapman, M","venue":null,"work_id":"882e88e2-d2f2-4444-a8f8-b31571aa52d6","year":2012},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:41.899339Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:ec3d00ef3622418bfa62c00f2c4f7482f3040e544f1d364ffd04ea981b238d8b","observation_id":"da5f85b5-3e41-4d3d-af68-91b09fad421f","resolution":{"observed_at":"2026-08-14T13:53:44.396781Z","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":"2026-08-14T13:53:44.307515Z","title":"Elekes and M","venue":null,"work_id":"64c35f30-00d3-4f92-87a5-dca9d2e655ec","year":2011},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:41.908977Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:45e80a0a418a0fa9e68151e3dc13ce3932175c09f9a5291562ef1c8b63cadb22","observation_id":"dc33c3a8-9723-4d23-8baa-90bc43753140","resolution":{"observed_at":"2026-08-14T13:53:44.318203Z","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":"2026-08-14T13:53:44.259736Z","title":"Erd ˝os, On sets of distances of n points, Amer","venue":null,"work_id":"69a30a93-0b42-4662-9138-9c92dba39d6d","year":1946},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:41.926200Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:f96d6a225e50fb948e4b3c585b13f7c8c6ec191984e6c3151b16d71b9f27eb1c","observation_id":"6a4c6fc8-b007-4ecd-b413-fd052d4e7d0e","resolution":{"observed_at":"2026-08-14T13:53:44.275679Z","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":"2026-08-14T13:53:44.225203Z","title":"Gr ¨unw ald, Ein abbildungsprinzip, welches die ebene geometrie und kin ematik mit der raumlichen geometrie verknupft , Sitzber","venue":null,"work_id":"9a25183e-7b64-4fc6-b6a8-80735a71793c","year":1911},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:41.940744Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:16b366c46b10e040a967b5546df634d01127f96e7db934408348ec0884a6e10f","observation_id":"cfc548f5-5a54-40d7-b10f-8727bae8bbda","resolution":{"observed_at":"2026-08-14T13:53:44.238884Z","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":"2026-08-14T13:53:44.154333Z","title":"Guth and N","venue":null,"work_id":"271deb9c-c63b-4a56-baa9-ff32c3673ec9","year":2015},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:41.958107Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:10378caf4bdc5d5126a197e665e47d685c399da2a92ec90ddb4b48f51e8a9aed","observation_id":"4377b14d-c860-4381-b272-28b2b850ecf1","resolution":{"observed_at":"2026-08-14T13:53:44.194401Z","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":"2026-08-14T13:53:44.068041Z","title":"Hanson, B","venue":null,"work_id":"24bbcb29-2d5f-4ac7-8ac9-ed6ec597c4bc","year":2016},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:41.971897Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:d0139010c9925e697c779a4b8f5947d9b07aaf08c02568f27b30cb4725fa0690","observation_id":"1cfd417f-a0e6-48f6-9c0f-a2399dcc8803","resolution":{"observed_at":"2026-08-14T13:53:44.079426Z","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":"2026-08-14T13:53:44.023013Z","title":null,"venue":null,"work_id":"ad77a4f1-6b7b-4104-ad62-4618dce09a63","year":2011},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:41.982885Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:e5b45927354f723977e1be8bd6049afe1ee6f6080a7050edc3935ad4fa5df1b7","observation_id":"45dbb5db-9a92-4390-8aa1-e1f5c67de020","resolution":{"observed_at":"2026-08-14T13:53:44.040075Z","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":{"arxiv_id":"1905.04179","last_updated":"2019-05-10T14:06:32Z","snapshot_observed_at":"2026-08-14T16:34:16.439681Z","submitted_at":"2019-05-10T14:06:32Z","title":"A new perspective on the distance problem over prime fields","version":1},"cited_work":{"arxiv_id":"1905.04179","doi":null,"metadata_source":"pith","pith_arxiv_id":"1905.04179","snapshot_observed_at":"2026-08-14T13:53:42.756510Z","title":"A new perspective on the distance problem over prime fields","venue":"math.CO","work_id":"bc72ce69-2176-411f-b21a-9cb4ad446731","year":2019},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:41.997389Z"},"links":{"cited_paper":"/paper/1905.04179","citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:8824de9eb772e457b1960e31e48c2ebf50cd24585cc9cc620af04afec5b47180","observation_id":"f03ca4c4-3a18-4114-801a-e7a256bed694","resolution":{"observed_at":"2026-08-14T13:53:42.768334Z","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":"2026-08-14T13:53:43.887478Z","title":"Iosevich and M","venue":null,"work_id":"e2d189e1-818b-46e9-a8ff-c12f26b45a06","year":2007},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:42.010284Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:45e4ee174949853de5bfe47b1e3153602880c0d34634c9e597c617cdb2d3a88a","observation_id":"87f3981b-6aff-4afc-8219-7228525224e2","resolution":{"observed_at":"2026-08-14T13:53:43.928707Z","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":"2026-08-14T13:53:43.844052Z","title":null,"venue":null,"work_id":"339cbab2-b412-4e1f-959e-a8a41518cc2b","year":2004},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:42.019788Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:b90e87f9537d9afd46ca1326da4cc09ea69e5c6142186a838e53612a35cdfc65","observation_id":"7a147d9d-a3a9-44b4-ac9f-8a1314d06cb9","resolution":{"observed_at":"2026-08-14T13:53:43.852200Z","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":"2026-08-14T13:53:43.726998Z","title":"Klawitter and M","venue":null,"work_id":"fc48245d-c541-436a-b527-01e4374dc2c2","year":2013},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:42.034782Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:98bbd5efba969e0247f8b3fb10a723367d783a5ad4510fa3f2604bffe29920e9","observation_id":"523949f2-e01d-4c97-97f7-3f6decbd4c82","resolution":{"observed_at":"2026-08-14T13:53:43.736893Z","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":"1809.08699","last_updated":"2020-03-15T15:50:30Z","snapshot_observed_at":"2026-08-14T18:24:41.617269Z","submitted_at":"2018-09-23T23:57:30Z","title":"Extension theorems and a connection to the Erd\\H{o}s-Falconer distance problem over finite fields","version":9},"cited_work":{"arxiv_id":"1809.08699","doi":null,"metadata_source":"pith","pith_arxiv_id":"1809.08699","snapshot_observed_at":"2026-08-14T13:53:42.634304Z","title":"Extension theorems and a connection to the Erd\\H{o}s-Falconer distance problem over finite fields","venue":"math.CA","work_id":"596b1623-acf8-44f2-93ae-0372aa78c48e","year":2018},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:42.044795Z"},"links":{"cited_paper":"/paper/1809.08699","citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:7f0ed4f06094749668578e3813a2c085180f9384b0afeaef5ec2b0574bc4a695","observation_id":"773072c3-158b-4a64-92d7-fb11260c752c","resolution":{"observed_at":"2026-08-14T13:53:42.694884Z","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":{"arxiv_id":"1808.09346","last_updated":"2018-08-28T15:01:28Z","snapshot_observed_at":"2026-08-14T18:36:08.707494Z","submitted_at":"2018-08-28T15:01:28Z","title":"On Falconer's distance set problem in the plane","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1808.09346","snapshot_observed_at":"2026-08-14T13:53:42.066786Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:42.066786Z"},"links":{"cited_paper":"/paper/1808.09346","citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:35a15527da71e9438bc36ff9351b82b05e9e5207d9b449e17a8be3799fc23ad7","observation_id":"4a3632b8-cee1-4310-9108-cbf943e6b229","resolution":{"observed_at":"2026-08-14T13:53:42.066786Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1810.00765","last_updated":"2018-10-01T15:41:44Z","snapshot_observed_at":"2026-08-14T18:21:06.180465Z","submitted_at":"2018-10-01T15:41:44Z","title":"Bisectors and pinned distances","version":1},"cited_work":{"arxiv_id":"1810.00765","doi":null,"metadata_source":"pith","pith_arxiv_id":"1810.00765","snapshot_observed_at":"2026-08-14T13:53:42.486659Z","title":"Bisectors and pinned distances","venue":"math.CO","work_id":"f8c2f41d-548c-472a-b5b0-2fc2eaf7b65a","year":2018},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:42.078242Z"},"links":{"cited_paper":"/paper/1810.00765","citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:073c2f6ff8f6d9411d205525811de4f79955e39a265532b2f8f2369eb4a20c46","observation_id":"a611bcc3-08e5-4d16-a2ee-404c6fe164fe","resolution":{"observed_at":"2026-08-14T13:53:42.497959Z","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":"2026-08-14T13:53:43.611835Z","title":null,"venue":null,"work_id":"aac049b1-0b55-4ae0-a597-2c79b31f9a35","year":2016},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:42.115454Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:252b56accd02c73a53428c5e527167a726f17da5029fe66caf6db6a14b43fe33","observation_id":"ddac046c-5715-4680-a4a9-019cd7a5eea3","resolution":{"observed_at":"2026-08-14T13:53:43.656571Z","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":"2026-08-14T13:53:43.513448Z","title":"Matou ˇsek, The number of unit distances is almost linear for most norms , Advances in Mathematics, 226 (2011), pp","venue":null,"work_id":"ad543fd9-a02d-431a-a76a-18399f722f9e","year":2011},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:42.189318Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:05335f17374eca543147fe30fb586c9a90a7a6fa56f7f959660bba7c8f3b9e44","observation_id":"02bd7ca1-75da-4650-90c8-df03d8f800d6","resolution":{"observed_at":"2026-08-14T13:53:43.576394Z","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":"2026-08-14T13:53:43.414353Z","title":"Murphy and G","venue":null,"work_id":"01281a70-42cc-45bc-b04c-16b91c88be34","year":2015},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:42.235041Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:ce7862826a4495384b7b7ec94d30494db9dd58583e820c5973299d2b7dedd224","observation_id":"189c46aa-dc86-4bf4-9c9d-e7df9c8e78be","resolution":{"observed_at":"2026-08-14T13:53:43.425183Z","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":"2026-08-14T13:53:43.377233Z","title":"Hellenic Math","venue":null,"work_id":"5dc29346-34d4-41ac-bac9-185be7dd5bbe","year":2019},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:42.251670Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:37ceb2cdb22d10849b8d52591400add0c5839eb9874722a431e1cf3af1624914","observation_id":"6215e274-8c0c-426e-9b95-8c054d40d037","resolution":{"observed_at":"2026-08-14T13:53:43.385204Z","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":"2026-08-14T13:53:43.300400Z","title":"Petridis, Pinned algebraic distances determined by Cartesian produc ts in F2 p, Proc","venue":null,"work_id":"3111bff2-efdc-4975-84e1-c57ba9de827e","year":2017},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:42.258241Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:612df5202c9bad5be6a295299876e2540522e48044dfe4e1df01fb26e1aea76c","observation_id":"5d2f1162-7e10-4f82-b9a8-caaf4b2895c7","resolution":{"observed_at":"2026-08-14T13:53:43.312988Z","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":"2026-08-14T13:53:43.269774Z","title":"Roche-Newton and M","venue":null,"work_id":"25f83732-baf2-4852-981c-29db1a84f9c1","year":2015},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:42.269569Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:a3a629a62cee14a837f26665f80c0e4e857d53dd8e269e93fd50ec0d30c3bc70","observation_id":"c3c40804-ebed-44fe-8bf0-1f7c346f542e","resolution":{"observed_at":"2026-08-14T13:53:43.277580Z","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":"2026-08-14T13:53:43.104998Z","title":"Rudnev , On the number of incidences between planes and points in thre e dimensions , Combinatorica, 38 (2018), pp","venue":null,"work_id":"2957761d-490f-42a9-a651-0e4ab089cf18","year":2018},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:42.275124Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:310f09e3e360a1d88c633b0ed34d92c9b5d72832615d88835c5cc04141037b92","observation_id":"08ddae4c-0ff3-4f9a-b628-ebfb1e6e83fd","resolution":{"observed_at":"2026-08-14T13:53:43.157953Z","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":"2026-08-14T13:53:42.967988Z","title":"Rudnev and J","venue":null,"work_id":"67f1224d-7399-4b2a-a715-7003c04643f4","year":2016},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:42.284369Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:045b71a5f560fd304b35ff3fb3cd014bc185ca8e1fdb596c68050a806efc3401","observation_id":"be4c66b4-cd91-453b-be2f-197fe5af1285","resolution":{"observed_at":"2026-08-14T13:53:43.018655Z","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":"1406.1949","last_updated":"2018-07-02T17:09:35Z","snapshot_observed_at":"2026-08-14T23:31:10.733778Z","submitted_at":"2014-06-08T05:16:52Z","title":"Distinct Distances: Open Problems and Current Bounds","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1406.1949","snapshot_observed_at":"2026-08-14T13:53:42.293007Z","title":"Sheffer , Distinct distances: open problems and current bounds , arXiv preprint arXiv:1406.1949, (2014)","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:42.293007Z"},"links":{"cited_paper":"/paper/1406.1949","citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:d6045c36e395e9063452f8c84493b44249dd54dd5c6391296b2a85f54fc0c2ae","observation_id":"c7a2d955-67a0-4f7a-b0ed-d8efd3814bff","resolution":{"observed_at":"2026-08-14T13:53:42.293007Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:53:42.909976Z","title":"Stevens and F","venue":null,"work_id":"81ef0c93-93cd-408e-a275-414a5e45359e","year":2017},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:42.303379Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:d7cbd8d55d8e05aeae9bca30f0005ffaa9573b72df4dd3f5609a4d407ce1a0e6","observation_id":"e4d2b8fd-38cf-4003-bd4a-46ad8cfed770","resolution":{"observed_at":"2026-08-14T13:53:42.917289Z","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":"2026-08-14T13:53:42.865098Z","title":"Tao and V","venue":null,"work_id":"ccd172d2-734f-4372-8c43-a64a003b2329","year":2010},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:42.318821Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:a60aaa640c65882b5f460722bda5f6d6142a09abf6c1ad23ade27baa944d1ca8","observation_id":"fe836a7b-4b7a-4d59-88b4-33420ff3bb2e","resolution":{"observed_at":"2026-08-14T13:53:42.874325Z","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":"2026-08-14T13:53:42.800732Z","title":"V altr, Strictly convex norms allowing many unit distances and rela ted touching questions","venue":null,"work_id":"cf7ef0c5-4435-4569-98b5-85111203d3ca","year":2005},"citing_paper":{"arxiv_id":"1908.04618","last_updated":"2019-11-01T10:18:33Z","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T13:53:42.331352Z"},"links":{"citing_paper":"/paper/1908.04618"},"observation_digest":"sha256:d12d333065038854fd5c2c79af69276b5470b02c10dbe4048915f4b25c9aa9a8","observation_id":"216906b9-0043-42fa-8e7a-40afb2841b81","resolution":{"observed_at":"2026-08-14T13:53:42.833043Z","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":"1908.04618","last_updated":"2019-11-01T10:18:33Z","latest_version":3,"primary_category":"math.CO","snapshot_observed_at":"2026-08-16T10:45:14.719766Z","submitted_at":"2019-08-13T12:57:09Z","title":"Bisector energy and pinned distances in positive characteristic"},"reference_resolution":{"displayed":31,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":3,"verified_fuzzy":23},"total_outbound_references":31},"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 17 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:1908.04618."}