{"as_of":"2026-08-16T10:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a18c76fa49fcb5e513fd05a20930661429768c71c71328ac82125502f94b28a7","coverage":[{"denominator":14,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":14,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:04:27.973126Z","state":"measured"},{"denominator":14,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":14,"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/1908.06161/citation-record","integrity":"/paper/1908.06161/integrity","json":"/paper/1908.06161/citation-record.json","paper":"/paper/1908.06161"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:04:28.626419Z","title":null,"venue":null,"work_id":"4a6bf28b-133d-4dd7-b3b7-2dde13e4310e","year":2015},"citing_paper":{"arxiv_id":"1908.06161","last_updated":"2019-08-26T12:45:49Z","snapshot_observed_at":"2026-08-16T03:36:46.960360Z","submitted_at":"2019-08-16T20:51:49Z","title":"Symmetric primes revisited","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T13:04:27.840336Z"},"links":{"citing_paper":"/paper/1908.06161"},"observation_digest":"sha256:3e8add6fccf548aeae616644d759a9427041fe2a3b9d9b00f3dac27c1497839d","observation_id":"04157206-4566-4415-9532-a8244cce6d55","resolution":{"observed_at":"2026-08-14T13:04:28.637428Z","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":"2026-08-14T13:04:28.591781Z","title":null,"venue":null,"work_id":"45906a82-3dbc-4298-bb54-1102cd3dba8f","year":1951},"citing_paper":{"arxiv_id":"1908.06161","last_updated":"2019-08-26T12:45:49Z","snapshot_observed_at":"2026-08-16T03:36:46.960360Z","submitted_at":"2019-08-16T20:51:49Z","title":"Symmetric primes revisited","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T13:04:27.851190Z"},"links":{"citing_paper":"/paper/1908.06161"},"observation_digest":"sha256:9ed3e796b169e3081ba5d05a4283bb9113024738f39042ff4ca2112ce7127970","observation_id":"752a6154-94bf-4fd9-86fb-67971b146ace","resolution":{"observed_at":"2026-08-14T13:04:28.601857Z","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":"2026-08-14T13:04:28.538577Z","title":"Chow and C","venue":null,"work_id":"59aa9f1a-86ca-4be7-a6cf-0c04fe2913ef","year":2017},"citing_paper":{"arxiv_id":"1908.06161","last_updated":"2019-08-26T12:45:49Z","snapshot_observed_at":"2026-08-16T03:36:46.960360Z","submitted_at":"2019-08-16T20:51:49Z","title":"Symmetric primes revisited","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T13:04:27.859528Z"},"links":{"citing_paper":"/paper/1908.06161"},"observation_digest":"sha256:5fc6cb14426bc577f6f9e03fa2b18830aa0d08ed7e3e7998aaea263ddb6f22f6","observation_id":"fe5e41bd-3677-43ba-98cf-484f33df534e","resolution":{"observed_at":"2026-08-14T13:04:28.547989Z","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":"2026-08-14T13:04:28.495963Z","title":"Fletcher, W","venue":null,"work_id":"eec081b7-3dbf-49cd-bb1e-84030aa2709e","year":1996},"citing_paper":{"arxiv_id":"1908.06161","last_updated":"2019-08-26T12:45:49Z","snapshot_observed_at":"2026-08-16T03:36:46.960360Z","submitted_at":"2019-08-16T20:51:49Z","title":"Symmetric primes revisited","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T13:04:27.874978Z"},"links":{"citing_paper":"/paper/1908.06161"},"observation_digest":"sha256:44b4925db585ec65804f5bb85a6e8156bc1f908e4463b838539ee58e84fc7b13","observation_id":"fd66f1d3-c999-4b60-b0b9-ef9ac041e8d7","resolution":{"observed_at":"2026-08-14T13:04:28.505600Z","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":"2026-08-14T13:04:28.461849Z","title":"Ford, The distribution of integers with a divisor in a gi ven interval","venue":null,"work_id":"3a28600c-7364-4ab1-a30e-0335d1e97aef","year":2008},"citing_paper":{"arxiv_id":"1908.06161","last_updated":"2019-08-26T12:45:49Z","snapshot_observed_at":"2026-08-16T03:36:46.960360Z","submitted_at":"2019-08-16T20:51:49Z","title":"Symmetric primes revisited","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T13:04:27.888272Z"},"links":{"citing_paper":"/paper/1908.06161"},"observation_digest":"sha256:fb9d13ae5db4b478b079d0abbfb1b0f428a5cd837e74ec62398ac0fe008c34be","observation_id":"fe0638a4-8ec1-465d-affb-26ceb8da123d","resolution":{"observed_at":"2026-08-14T13:04:28.471231Z","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":"2026-08-14T13:04:28.410420Z","title":"Halberstam and H.-E","venue":null,"work_id":"255fa015-ee64-482d-af1f-1da08892524c","year":1974},"citing_paper":{"arxiv_id":"1908.06161","last_updated":"2019-08-26T12:45:49Z","snapshot_observed_at":"2026-08-16T03:36:46.960360Z","submitted_at":"2019-08-16T20:51:49Z","title":"Symmetric primes revisited","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T13:04:27.894007Z"},"links":{"citing_paper":"/paper/1908.06161"},"observation_digest":"sha256:d59eef9ee7f7f21c9a00dd8cc99009d9552b48e693e3db23be336f9ce4ef4cee","observation_id":"0c675b64-face-4165-bbce-acadc7f55157","resolution":{"observed_at":"2026-08-14T13:04:28.420667Z","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":"2026-08-14T13:04:28.365940Z","title":null,"venue":null,"work_id":"940a756b-1462-4c06-a5ac-a7240c222e51","year":1988},"citing_paper":{"arxiv_id":"1908.06161","last_updated":"2019-08-26T12:45:49Z","snapshot_observed_at":"2026-08-16T03:36:46.960360Z","submitted_at":"2019-08-16T20:51:49Z","title":"Symmetric primes revisited","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T13:04:27.902134Z"},"links":{"citing_paper":"/paper/1908.06161"},"observation_digest":"sha256:ed810303de2e3434b57af73b475d6eac6000d2e8792a37bfc279606ba803d14d","observation_id":"57ce0615-f6b2-4490-82e1-6ddab93228ff","resolution":{"observed_at":"2026-08-14T13:04:28.384019Z","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":"2026-08-14T13:04:28.335421Z","title":null,"venue":null,"work_id":"675b46a8-5412-426f-994a-f13a6c6f9b00","year":1984},"citing_paper":{"arxiv_id":"1908.06161","last_updated":"2019-08-26T12:45:49Z","snapshot_observed_at":"2026-08-16T03:36:46.960360Z","submitted_at":"2019-08-16T20:51:49Z","title":"Symmetric primes revisited","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T13:04:27.909560Z"},"links":{"citing_paper":"/paper/1908.06161"},"observation_digest":"sha256:4508eedd3a77f4c333ba9990851bc9df64a74b45bae7dfe44005e7fa29315e0c","observation_id":"664a3717-18bc-4060-a306-15e137de0020","resolution":{"observed_at":"2026-08-14T13:04:28.344017Z","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":"2026-08-14T13:04:28.299277Z","title":null,"venue":null,"work_id":"7e43c3ac-5531-49d2-9277-d82229deb20c","year":1987},"citing_paper":{"arxiv_id":"1908.06161","last_updated":"2019-08-26T12:45:49Z","snapshot_observed_at":"2026-08-16T03:36:46.960360Z","submitted_at":"2019-08-16T20:51:49Z","title":"Symmetric primes revisited","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T13:04:27.916187Z"},"links":{"citing_paper":"/paper/1908.06161"},"observation_digest":"sha256:fa1d6c52256f927f514ad04970a2677940c59436651b9087636869854a240ad1","observation_id":"f2d67dc6-942a-44dc-a703-78f2a1abebb8","resolution":{"observed_at":"2026-08-14T13:04:28.308653Z","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":"2026-08-14T13:04:28.240395Z","title":"Consecutive almo st-primes","venue":null,"work_id":"3c3c82c3-a5cf-4f96-9800-ee20bf288f84","year":1999},"citing_paper":{"arxiv_id":"1908.06161","last_updated":"2019-08-26T12:45:49Z","snapshot_observed_at":"2026-08-16T03:36:46.960360Z","submitted_at":"2019-08-16T20:51:49Z","title":"Symmetric primes revisited","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T13:04:27.931213Z"},"links":{"citing_paper":"/paper/1908.06161"},"observation_digest":"sha256:b7bc6ecba091c6a1a664f49dc65925e2731e30c38467e6c3610afa2d4d43834c","observation_id":"3a0f91a6-5f8b-4959-9e75-c375aaab1ad2","resolution":{"observed_at":"2026-08-14T13:04:28.248534Z","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":"2026-08-14T13:04:28.175127Z","title":"Maynard, Dense clusters of primes in subsets, Compositio Math","venue":null,"work_id":"6154b6c8-3f61-424f-9f6e-8022ad55d619","year":2016},"citing_paper":{"arxiv_id":"1908.06161","last_updated":"2019-08-26T12:45:49Z","snapshot_observed_at":"2026-08-16T03:36:46.960360Z","submitted_at":"2019-08-16T20:51:49Z","title":"Symmetric primes revisited","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T13:04:27.945067Z"},"links":{"citing_paper":"/paper/1908.06161"},"observation_digest":"sha256:533874a110b0ced84392257f327705c11398bd7d9d75386b5c0310db73959cce","observation_id":"86073a7a-cd43-47cc-8af4-5cf6909a2a70","resolution":{"observed_at":"2026-08-14T13:04:28.188031Z","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":"2026-08-14T13:04:28.133658Z","title":null,"venue":null,"work_id":"2cf44704-5a48-49dd-a195-792942a01ba7","year":2014},"citing_paper":{"arxiv_id":"1908.06161","last_updated":"2019-08-26T12:45:49Z","snapshot_observed_at":"2026-08-16T03:36:46.960360Z","submitted_at":"2019-08-16T20:51:49Z","title":"Symmetric primes revisited","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T13:04:27.953962Z"},"links":{"citing_paper":"/paper/1908.06161"},"observation_digest":"sha256:fabb88c589cc25d6448a46425be641e8344fc16f28a4abf45238fc35b9069928","observation_id":"8cb2268a-be44-469a-a6d8-5dd07afa3237","resolution":{"observed_at":"2026-08-14T13:04:28.147456Z","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":"2026-08-14T13:04:28.094263Z","title":null,"venue":null,"work_id":"2d40f717-16fb-4b10-8d38-4224522ca6bb","year":2015},"citing_paper":{"arxiv_id":"1908.06161","last_updated":"2019-08-26T12:45:49Z","snapshot_observed_at":"2026-08-16T03:36:46.960360Z","submitted_at":"2019-08-16T20:51:49Z","title":"Symmetric primes revisited","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T13:04:27.962173Z"},"links":{"citing_paper":"/paper/1908.06161"},"observation_digest":"sha256:93da918619a6a2cde24b2c692fb2ba3c5cdee4809bd04949b7645d1487e48d10","observation_id":"d4aadf34-7a98-4500-b3c6-9fb95367a399","resolution":{"observed_at":"2026-08-14T13:04:28.106585Z","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":"2026-08-14T13:04:28.048160Z","title":null,"venue":null,"work_id":"06643e0d-53c7-4993-854a-8ea6fc1ba3be","year":1981},"citing_paper":{"arxiv_id":"1908.06161","last_updated":"2019-08-26T12:45:49Z","snapshot_observed_at":"2026-08-16T03:36:46.960360Z","submitted_at":"2019-08-16T20:51:49Z","title":"Symmetric primes revisited","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T13:04:27.973126Z"},"links":{"citing_paper":"/paper/1908.06161"},"observation_digest":"sha256:7270c505ae424650730b9daf03be344b218128c478e7a60dbd78f2f6de55b62b","observation_id":"7a05d0c2-57b3-45ae-be8c-d8684e134913","resolution":{"observed_at":"2026-08-14T13:04:28.067900Z","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"}}],"paper":{"arxiv_id":"1908.06161","last_updated":"2019-08-26T12:45:49Z","latest_version":2,"primary_category":"math.NT","snapshot_observed_at":"2026-08-16T03:36:46.960360Z","submitted_at":"2019-08-16T20:51:49Z","title":"Symmetric primes revisited"},"reference_resolution":{"displayed":14,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":0,"verified_fuzzy":6},"total_outbound_references":14},"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 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:1908.06161."}