{"as_of":"2026-08-18T19:31:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:462d9b6b2201de7b62723ec140aef0c96259f0f635307b24b1423f8165de1470","coverage":[{"denominator":11,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":11,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T12:08:34.415938Z","state":"measured"},{"denominator":11,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":11,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+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/2412.14792/citation-record","integrity":"/paper/2412.14792/integrity","json":"/paper/2412.14792/citation-record.json","paper":"/paper/2412.14792"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:08:34.977429Z","title":null,"venue":null,"work_id":"fe75a446-214b-4eb3-b5f6-3a38c3271c93","year":1990},"citing_paper":{"arxiv_id":"2412.14792","last_updated":"2024-12-19T12:33:43Z","snapshot_observed_at":"2026-08-18T15:06:24.730658Z","submitted_at":"2024-12-19T12:33:43Z","title":"The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T12:08:34.346221Z"},"links":{"citing_paper":"/paper/2412.14792"},"observation_digest":"sha256:3862af4651cdfc515d4d4da38dd043d5a5e80e57df95a82ae279532d7e910cb4","observation_id":"0e9555e1-cbe3-46b4-ad0e-876635f6e15e","resolution":{"observed_at":"2026-08-11T12:08:35.063398Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:08:34.952177Z","title":null,"venue":null,"work_id":"9eb5678c-b718-4db3-b6fb-35258d9a8c65","year":1992},"citing_paper":{"arxiv_id":"2412.14792","last_updated":"2024-12-19T12:33:43Z","snapshot_observed_at":"2026-08-18T15:06:24.730658Z","submitted_at":"2024-12-19T12:33:43Z","title":"The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T12:08:34.355680Z"},"links":{"citing_paper":"/paper/2412.14792"},"observation_digest":"sha256:4bf198ea6f4bc0ec52fe4321686668699a76f4fa4775fe4730e66958afcc653b","observation_id":"1403b6e1-5dd3-4a05-a857-cd06f75247df","resolution":{"observed_at":"2026-08-11T12:08:34.959011Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2105.02492","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:08:34.585993Z","title":"Devin, Discrepancies in the distribution of gaussian primes, arXiv:2105.02492","venue":null,"work_id":"f71bf641-881c-427a-a644-79c5f3f1d577","year":null},"citing_paper":{"arxiv_id":"2412.14792","last_updated":"2024-12-19T12:33:43Z","snapshot_observed_at":"2026-08-18T15:06:24.730658Z","submitted_at":"2024-12-19T12:33:43Z","title":"The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T12:08:34.361808Z"},"links":{"citing_paper":"/paper/2412.14792"},"observation_digest":"sha256:87e840858235ca8ff42c6a6b10a7022e3a0b388079388dff8b765a5b2bf4184e","observation_id":"33163396-1719-44de-a36a-9b84bab98f9a","resolution":{"observed_at":"2026-08-11T12:08:34.687051Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:08:34.933958Z","title":"Elsholtz and G","venue":null,"work_id":"3730fab8-0e03-42fd-9517-9335fd562f6c","year":2015},"citing_paper":{"arxiv_id":"2412.14792","last_updated":"2024-12-19T12:33:43Z","snapshot_observed_at":"2026-08-18T15:06:24.730658Z","submitted_at":"2024-12-19T12:33:43Z","title":"The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T12:08:34.367534Z"},"links":{"citing_paper":"/paper/2412.14792"},"observation_digest":"sha256:82d6f5ece392827e8aa0d350719f752a0bbb53752009ede776ff37a59441e818","observation_id":"266abf6e-f5a0-4d7b-8a58-31dfd7dbcd3d","resolution":{"observed_at":"2026-08-11T12:08:34.940089Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:08:34.910634Z","title":null,"venue":null,"work_id":"884ecdb2-2ec2-4473-81a7-9ebb597c6287","year":null},"citing_paper":{"arxiv_id":"2412.14792","last_updated":"2024-12-19T12:33:43Z","snapshot_observed_at":"2026-08-18T15:06:24.730658Z","submitted_at":"2024-12-19T12:33:43Z","title":"The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T12:08:34.374728Z"},"links":{"citing_paper":"/paper/2412.14792"},"observation_digest":"sha256:4867360d46bb5fc93458f5c74cf891b149c6d906bd5948aaf7a9b66f7e2ec6f0","observation_id":"e8455ada-f6bf-4e54-b8d2-f7aa428f9f6d","resolution":{"observed_at":"2026-08-11T12:08:34.920482Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2307.00256","last_updated":"2024-11-30T22:17:05Z","snapshot_observed_at":"2026-08-16T15:19:32.422777Z","submitted_at":"2023-07-01T07:35:31Z","title":"Murmurations of Dirichlet characters","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.00256","snapshot_observed_at":"2026-08-11T12:08:34.387421Z","title":"Oliver and A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.14792","last_updated":"2024-12-19T12:33:43Z","snapshot_observed_at":"2026-08-18T15:06:24.730658Z","submitted_at":"2024-12-19T12:33:43Z","title":"The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T12:08:34.387421Z"},"links":{"cited_paper":"/paper/2307.00256","citing_paper":"/paper/2412.14792"},"observation_digest":"sha256:0fa3df469af79cb8cd75c1fbb174ebf6d9aa0ef0d7f171b373f9ef9ae538c328","observation_id":"b163724e-23ba-4254-8212-6e0fc74cc431","resolution":{"observed_at":"2026-08-11T12:08:34.387421Z","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":"2026-08-11T12:08:34.861701Z","title":"E Littlewood, Sur la distribution des nombres premiers, CR Acad","venue":null,"work_id":"ce41461a-d3c3-4bc4-8eef-f305acb2c9a7","year":1914},"citing_paper":{"arxiv_id":"2412.14792","last_updated":"2024-12-19T12:33:43Z","snapshot_observed_at":"2026-08-18T15:06:24.730658Z","submitted_at":"2024-12-19T12:33:43Z","title":"The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T12:08:34.393207Z"},"links":{"citing_paper":"/paper/2412.14792"},"observation_digest":"sha256:64b58720da9d319605fc4ab05e1b4743434c06aba100e619b768ae4216d3fcb2","observation_id":"c3b9b0e2-82c2-4cf1-b190-da1aeac6fa13","resolution":{"observed_at":"2026-08-11T12:08:34.867981Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:08:34.827366Z","title":"Rubinstein and P","venue":null,"work_id":"ca88e57e-601e-4c11-bc67-021a04eda6c0","year":1994},"citing_paper":{"arxiv_id":"2412.14792","last_updated":"2024-12-19T12:33:43Z","snapshot_observed_at":"2026-08-18T15:06:24.730658Z","submitted_at":"2024-12-19T12:33:43Z","title":"The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T12:08:34.401754Z"},"links":{"citing_paper":"/paper/2412.14792"},"observation_digest":"sha256:e5e37c78dcfa7084a50ca723a1f32fd63083320550c231ab68077498ff44e200","observation_id":"30c591de-e790-4712-82d1-f55dd7289a3f","resolution":{"observed_at":"2026-08-11T12:08:34.835249Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:08:34.804656Z","title":null,"venue":null,"work_id":"fba6bf09-1151-484f-8e24-85746d6d92a1","year":1989},"citing_paper":{"arxiv_id":"2412.14792","last_updated":"2024-12-19T12:33:43Z","snapshot_observed_at":"2026-08-18T15:06:24.730658Z","submitted_at":"2024-12-19T12:33:43Z","title":"The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T12:08:34.409187Z"},"links":{"citing_paper":"/paper/2412.14792"},"observation_digest":"sha256:c298b6bee202eef8f26065e97e036d5bfb02ab8a4f3bc6745be710f966e9d219","observation_id":"faaa4212-e9b2-480b-ba1e-e479b2eab1d0","resolution":{"observed_at":"2026-08-11T12:08:34.810672Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1211.1588","last_updated":"2017-12-01T16:27:09Z","snapshot_observed_at":"2026-08-15T00:40:10.453810Z","submitted_at":"2012-11-07T16:22:04Z","title":"Conjectures on representations involving primes","version":29},"cited_work":{"arxiv_id":"1211.1588","doi":null,"metadata_source":"pith","pith_arxiv_id":"1211.1588","snapshot_observed_at":"2026-08-11T12:08:34.468808Z","title":"Conjectures on representations involving primes","venue":"math.NT","work_id":"404a679d-bd25-4dfd-8fa7-a8e2361e60d9","year":2012},"citing_paper":{"arxiv_id":"2412.14792","last_updated":"2024-12-19T12:33:43Z","snapshot_observed_at":"2026-08-18T15:06:24.730658Z","submitted_at":"2024-12-19T12:33:43Z","title":"The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T12:08:34.415938Z"},"links":{"cited_paper":"/paper/1211.1588","citing_paper":"/paper/2412.14792"},"observation_digest":"sha256:57c3de45e7a85b01da4be29e8c9ce1dc2126119d41d1987c53e403f5efc8c58e","observation_id":"786be3c6-123a-4227-a9d6-9d041e8db9bc","resolution":{"observed_at":"2026-08-11T12:08:34.477505Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:08:34.883541Z","title":null,"venue":null,"work_id":"72f7d95a-2d62-4ab4-8e53-aa8630cb818b","year":1996},"citing_paper":{"arxiv_id":"2412.14792","last_updated":"2024-12-19T12:33:43Z","snapshot_observed_at":"2026-08-18T15:06:24.730658Z","submitted_at":"2024-12-19T12:33:43Z","title":"The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias","version":1},"reference_index":2000,"source":"pdf_text","source_observed_at":"2026-08-11T12:08:34.382170Z"},"links":{"citing_paper":"/paper/2412.14792"},"observation_digest":"sha256:d41ceb6901ea511b778f07aef5bba2680fcfe8acff19935f99ef73490c4af0cc","observation_id":"c6f08c15-3b16-4569-97a3-1b9b25a9d88f","resolution":{"observed_at":"2026-08-11T12:08:34.894913Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.14792","last_updated":"2024-12-19T12:33:43Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-18T15:06:24.730658Z","submitted_at":"2024-12-19T12:33:43Z","title":"The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias"},"reference_resolution":{"displayed":11,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":2,"verified_fuzzy":3},"total_outbound_references":11},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2412.14792."}