{"as_of":"2026-08-13T01:39:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:af1484e03d0ebd6120674cd7ddc4d453516799c93ccbbdc8f3b98ec72844a663","coverage":[{"denominator":8,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":8,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T13:46:11.052182Z","state":"measured"},{"denominator":8,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":8,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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/2411.16069/citation-record","integrity":"/paper/2411.16069/integrity","json":"/paper/2411.16069/citation-record.json","paper":"/paper/2411.16069"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:46:11.174252Z","title":"Bordell` es, A note on a multiplicative hybrid problem, Acta Arith","venue":null,"work_id":"244a29e1-4cd6-4b7c-8f38-a4c9bbb3a6da","year":2008},"citing_paper":{"arxiv_id":"2411.16069","last_updated":"2024-11-25T03:39:37Z","snapshot_observed_at":"2026-08-12T13:32:43.123650Z","submitted_at":"2024-11-25T03:39:37Z","title":"On a multiplicative hybrid problem over almost-primes","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T13:46:11.020568Z"},"links":{"citing_paper":"/paper/2411.16069"},"observation_digest":"sha256:5ccc1f91a4c27e8362908fda25649687da6650b76124e4fd06335a170f5c5ced","observation_id":"39394ffb-d9fb-4c75-9b60-56632e1fe559","resolution":{"observed_at":"2026-08-12T13:46:11.180109Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T13:46:11.160040Z","title":"Fouvry and H","venue":null,"work_id":"d26e5bff-2e60-4e84-8f49-3cf1ce154f0a","year":1989},"citing_paper":{"arxiv_id":"2411.16069","last_updated":"2024-11-25T03:39:37Z","snapshot_observed_at":"2026-08-12T13:32:43.123650Z","submitted_at":"2024-11-25T03:39:37Z","title":"On a multiplicative hybrid problem over almost-primes","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T13:46:11.025165Z"},"links":{"citing_paper":"/paper/2411.16069"},"observation_digest":"sha256:4e06c5d8872bd4feb725033b9d126e3674cfb017a14846bd6d769a6444aafe6e","observation_id":"79155a96-6b36-414e-aee3-542894a3c9d9","resolution":{"observed_at":"2026-08-12T13:46:11.164270Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T13:46:11.146861Z","title":null,"venue":null,"work_id":"765169ef-32d8-4cb0-a042-fdb906a268c7","year":1991},"citing_paper":{"arxiv_id":"2411.16069","last_updated":"2024-11-25T03:39:37Z","snapshot_observed_at":"2026-08-12T13:32:43.123650Z","submitted_at":"2024-11-25T03:39:37Z","title":"On a multiplicative hybrid problem over almost-primes","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T13:46:11.029601Z"},"links":{"citing_paper":"/paper/2411.16069"},"observation_digest":"sha256:cc58c0ac00c9052554e9c7dccb5d038674c3455bc629f0ab5963f803af1f0f74","observation_id":"786ddce4-0522-4d9e-a05d-2e489e797c16","resolution":{"observed_at":"2026-08-12T13:46:11.151211Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T13:46:11.133719Z","title":"Halberstam and H","venue":null,"work_id":"c95b57ac-10c8-4d24-b1c5-1281378f3dec","year":1974},"citing_paper":{"arxiv_id":"2411.16069","last_updated":"2024-11-25T03:39:37Z","snapshot_observed_at":"2026-08-12T13:32:43.123650Z","submitted_at":"2024-11-25T03:39:37Z","title":"On a multiplicative hybrid problem over almost-primes","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T13:46:11.034025Z"},"links":{"citing_paper":"/paper/2411.16069"},"observation_digest":"sha256:9762789d4cda412c72d52925d61bd15c9c4b63ce7d765c302ac4614eacc50ad5","observation_id":"bccfd5bd-199a-45f0-a370-dbec678a0d21","resolution":{"observed_at":"2026-08-12T13:46:11.137703Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T13:46:11.119946Z","title":"Iwaniec and A","venue":null,"work_id":"b88331e7-fd8f-4ac4-b408-81b0a9c697b3","year":1987},"citing_paper":{"arxiv_id":"2411.16069","last_updated":"2024-11-25T03:39:37Z","snapshot_observed_at":"2026-08-12T13:32:43.123650Z","submitted_at":"2024-11-25T03:39:37Z","title":"On a multiplicative hybrid problem over almost-primes","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T13:46:11.038545Z"},"links":{"citing_paper":"/paper/2411.16069"},"observation_digest":"sha256:713ccfdcf30bf75e683702bdcb68a7b1352161df93a1fb0d157bab2e02f49dc2","observation_id":"10ff4d8e-2bf8-4657-a03d-1418dccfadc2","resolution":{"observed_at":"2026-08-12T13:46:11.123791Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T13:46:11.108597Z","title":null,"venue":null,"work_id":"604045eb-1aaf-42e1-b734-4e62dd8e5811","year":1981},"citing_paper":{"arxiv_id":"2411.16069","last_updated":"2024-11-25T03:39:37Z","snapshot_observed_at":"2026-08-12T13:32:43.123650Z","submitted_at":"2024-11-25T03:39:37Z","title":"On a multiplicative hybrid problem over almost-primes","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T13:46:11.042508Z"},"links":{"citing_paper":"/paper/2411.16069"},"observation_digest":"sha256:4996e45ca85315cde5e6c57889bc89cc16a8c72d6e1804e1c79e8fe1c2e1f244","observation_id":"71dac3e7-a9c8-4ffa-8e68-1b8c60abb7ad","resolution":{"observed_at":"2026-08-12T13:46:11.112344Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T13:46:11.096434Z","title":"Rivat and A","venue":null,"work_id":"a8613341-0b6e-44ef-82b3-fe1b53c98dfd","year":1997},"citing_paper":{"arxiv_id":"2411.16069","last_updated":"2024-11-25T03:39:37Z","snapshot_observed_at":"2026-08-12T13:32:43.123650Z","submitted_at":"2024-11-25T03:39:37Z","title":"On a multiplicative hybrid problem over almost-primes","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T13:46:11.048160Z"},"links":{"citing_paper":"/paper/2411.16069"},"observation_digest":"sha256:46b1b635df8a1145e975724f1b24c5e28be122f27ed84a0abb64b87299d43440","observation_id":"58d256a4-117f-434c-880d-1de3eed2edb4","resolution":{"observed_at":"2026-08-12T13:46:11.100584Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T13:46:11.082954Z","title":null,"venue":null,"work_id":"a6337730-ce31-4168-9ba2-cb4f5ce6418c","year":1995},"citing_paper":{"arxiv_id":"2411.16069","last_updated":"2024-11-25T03:39:37Z","snapshot_observed_at":"2026-08-12T13:32:43.123650Z","submitted_at":"2024-11-25T03:39:37Z","title":"On a multiplicative hybrid problem over almost-primes","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T13:46:11.052182Z"},"links":{"citing_paper":"/paper/2411.16069"},"observation_digest":"sha256:788457a8a64115effd9f0239a2bbd91e01391ad557b76017d23adaf43e7ea229","observation_id":"9ca14d21-67a4-48b1-9c86-2968ceab6c0c","resolution":{"observed_at":"2026-08-12T13:46:11.088117Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.16069","last_updated":"2024-11-25T03:39:37Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-12T13:32:43.123650Z","submitted_at":"2024-11-25T03:39:37Z","title":"On a multiplicative hybrid problem over almost-primes"},"reference_resolution":{"displayed":8,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":0,"verified_fuzzy":5},"total_outbound_references":8},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2411.16069."}