{"as_of":"2026-08-11T18:57:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b9181db694d77971400eacf141823a8a31097f89965518a45e7cab76e1fcab64","coverage":[{"denominator":9,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":9,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T17:21:10.678301Z","state":"measured"},{"denominator":9,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":9,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+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/2502.06804/citation-record","integrity":"/paper/2502.06804/integrity","json":"/paper/2502.06804/citation-record.json","paper":"/paper/2502.06804"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T17:21:10.789095Z","title":null,"venue":null,"work_id":"758f0b14-1853-4614-af57-530dbceeaf7a","year":null},"citing_paper":{"arxiv_id":"2502.06804","last_updated":"2025-02-02T21:03:23Z","snapshot_observed_at":"2026-08-09T17:13:04.357349Z","submitted_at":"2025-02-02T21:03:23Z","title":"Gauss Circle Primes","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-09T17:21:10.648033Z"},"links":{"citing_paper":"/paper/2502.06804"},"observation_digest":"sha256:a795a756e56c27aadecca217f870a3c2223229953170cfa467991ec6b9d2e5e5","observation_id":"98c2eb47-51ee-45a3-a940-67dc0592de34","resolution":{"observed_at":"2026-08-09T17:21:10.792981Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T17:21:10.778861Z","title":"De nexu inter multitudinem classium, in quas formae binari ae secundi gradus distribuuntur, earumque determinantem","venue":null,"work_id":"16f219be-7329-47a6-a83a-a226ee4bcc81","year":null},"citing_paper":{"arxiv_id":"2502.06804","last_updated":"2025-02-02T21:03:23Z","snapshot_observed_at":"2026-08-09T17:13:04.357349Z","submitted_at":"2025-02-02T21:03:23Z","title":"Gauss Circle Primes","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-09T17:21:10.652567Z"},"links":{"citing_paper":"/paper/2502.06804"},"observation_digest":"sha256:321fd17e50c9c38d5ffa9c31b44a96a422c4ab1788ef7c0b3a573b0156ef4679","observation_id":"f4c1307d-8043-4b41-b68a-f9fbd2b7c6cf","resolution":{"observed_at":"2026-08-09T17:21:10.782461Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T17:21:10.768548Z","title":"Sur la distribution des z´ eros de la fonction ζ(s) et ses cons´ equences artim´ etiques","venue":null,"work_id":"78cec15d-5aad-475a-9b56-04cdae4b300a","year":null},"citing_paper":{"arxiv_id":"2502.06804","last_updated":"2025-02-02T21:03:23Z","snapshot_observed_at":"2026-08-09T17:13:04.357349Z","submitted_at":"2025-02-02T21:03:23Z","title":"Gauss Circle Primes","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-09T17:21:10.656615Z"},"links":{"citing_paper":"/paper/2502.06804"},"observation_digest":"sha256:14ab44e21d0e81f0ad13ace080ca9a525f94ab21e46c0d34dec459cfa7d45c9b","observation_id":"1147fcbe-4f64-4058-bc48-4dcd7353f212","resolution":{"observed_at":"2026-08-09T17:21:10.772511Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T17:21:10.757339Z","title":"On the divisor and circle problems","venue":null,"work_id":"dd91abce-2148-456f-bb75-e9c7d5498def","year":1988},"citing_paper":{"arxiv_id":"2502.06804","last_updated":"2025-02-02T21:03:23Z","snapshot_observed_at":"2026-08-09T17:13:04.357349Z","submitted_at":"2025-02-02T21:03:23Z","title":"Gauss Circle Primes","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-09T17:21:10.660130Z"},"links":{"citing_paper":"/paper/2502.06804"},"observation_digest":"sha256:8455e882bc318f39360008370c28f5ce2ea00065a0db68b226e73fc60b69be5b","observation_id":"44d60a45-7303-4a9c-bc98-ab57bfb01fa3","resolution":{"observed_at":"2026-08-09T17:21:10.761053Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T17:21:10.746910Z","title":"Sur la distribution des nombres premiers","venue":null,"work_id":"d9ddfd06-2432-4d6b-8dab-c496b23494ff","year":1914},"citing_paper":{"arxiv_id":"2502.06804","last_updated":"2025-02-02T21:03:23Z","snapshot_observed_at":"2026-08-09T17:13:04.357349Z","submitted_at":"2025-02-02T21:03:23Z","title":"Gauss Circle Primes","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-09T17:21:10.663461Z"},"links":{"citing_paper":"/paper/2502.06804"},"observation_digest":"sha256:8801c4910af7b2de4850b49e8b2cbf58662e26afb46b558a16957e565c5c8a96","observation_id":"3644f906-b568-44ff-bde6-1dc4cc8bfe2d","resolution":{"observed_at":"2026-08-09T17:21:10.750337Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T17:21:10.736741Z","title":null,"venue":null,"work_id":"5f637c29-741f-4985-8d69-244af753f652","year":1968},"citing_paper":{"arxiv_id":"2502.06804","last_updated":"2025-02-02T21:03:23Z","snapshot_observed_at":"2026-08-09T17:13:04.357349Z","submitted_at":"2025-02-02T21:03:23Z","title":"Gauss Circle Primes","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-09T17:21:10.666859Z"},"links":{"citing_paper":"/paper/2502.06804"},"observation_digest":"sha256:6a56613271ae2d9d9bf4586769b2c8fc72c53b849afc5ac3251ac227c37cd55b","observation_id":"49c1e405-8758-4bf3-b7cd-ab56a8fb3c67","resolution":{"observed_at":"2026-08-09T17:21:10.740173Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T17:21:10.725014Z","title":"Recherches nouvelle sur les nombres premiers","venue":null,"work_id":"1c39a9ca-e65b-45a4-87f1-222626f76b8f","year":null},"citing_paper":{"arxiv_id":"2502.06804","last_updated":"2025-02-02T21:03:23Z","snapshot_observed_at":"2026-08-09T17:13:04.357349Z","submitted_at":"2025-02-02T21:03:23Z","title":"Gauss Circle Primes","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-09T17:21:10.671339Z"},"links":{"citing_paper":"/paper/2502.06804"},"observation_digest":"sha256:6eeed920b499b85389ac2938c0d3cc54789efea9e7c6d234742db972654ca1c4","observation_id":"8f65880c-7665-4e5f-9036-224743edf843","resolution":{"observed_at":"2026-08-09T17:21:10.728747Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T17:21:10.715222Z","title":"On the difference π(x) − li(x)","venue":null,"work_id":"caeef530-0330-4c8d-96df-d92c7181ac1d","year":1933},"citing_paper":{"arxiv_id":"2502.06804","last_updated":"2025-02-02T21:03:23Z","snapshot_observed_at":"2026-08-09T17:13:04.357349Z","submitted_at":"2025-02-02T21:03:23Z","title":"Gauss Circle Primes","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-09T17:21:10.674733Z"},"links":{"citing_paper":"/paper/2502.06804"},"observation_digest":"sha256:f0cb54bbd6af816240df80dbb27ca085700a019eca156c58eb75b79ab21df213","observation_id":"04fab2b7-45fc-47f1-93c6-8e893081d3e3","resolution":{"observed_at":"2026-08-09T17:21:10.718555Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T17:21:10.702505Z","title":"Recherches analytiques sur la th´ eorie des nombres premie rs","venue":null,"work_id":"c8274774-8e8a-458f-a6ca-29aab45df799","year":null},"citing_paper":{"arxiv_id":"2502.06804","last_updated":"2025-02-02T21:03:23Z","snapshot_observed_at":"2026-08-09T17:13:04.357349Z","submitted_at":"2025-02-02T21:03:23Z","title":"Gauss Circle Primes","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-09T17:21:10.678301Z"},"links":{"citing_paper":"/paper/2502.06804"},"observation_digest":"sha256:b0277e6d6b55418fa8a1d3740ce819654e98c9fc8f451c13f8dfa25e577f5826","observation_id":"45435ab2-0c5b-4288-85cf-6bb24d8d259b","resolution":{"observed_at":"2026-08-09T17:21:10.708181Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2502.06804","last_updated":"2025-02-02T21:03:23Z","latest_version":1,"primary_category":"math.GM","snapshot_observed_at":"2026-08-09T17:13:04.357349Z","submitted_at":"2025-02-02T21:03:23Z","title":"Gauss Circle Primes"},"reference_resolution":{"displayed":9,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":0,"verified_fuzzy":7},"total_outbound_references":9},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2502.06804."}