{"as_of":"2026-08-21T23:28:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e617e94e117b26fd5177eed607b136f149158fb4587e3dd8cde948010f3ed5e8","coverage":[{"denominator":7,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T11:58:03.410144Z","state":"measured"},{"denominator":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+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/2502.02535/citation-record","integrity":"/paper/2502.02535/integrity","json":"/paper/2502.02535/citation-record.json","paper":"/paper/2502.02535"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:58:03.489986Z","title":"and Martin, A","venue":null,"work_id":"6092240f-ce7d-4f25-b35b-1b8f0afda78d","year":1984},"citing_paper":{"arxiv_id":"2502.02535","last_updated":"2025-02-04T18:00:02Z","snapshot_observed_at":"2026-08-21T03:18:22.876432Z","submitted_at":"2025-02-04T18:00:02Z","title":"Criticality conditions in the Derrida-Retaux model with a random number of terms","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-09T11:58:03.389890Z"},"links":{"citing_paper":"/paper/2502.02535"},"observation_digest":"sha256:d9caa01fec38bbd3c1002953186ac7d713333bc7d88e1b730af2809b26b71eda","observation_id":"f6f2eeca-cad3-436c-8a21-f2803bb103c9","resolution":{"observed_at":"2026-08-09T11:58:03.492932Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-09T11:58:03.481303Z","title":"and Shi, Z","venue":null,"work_id":"69024aa9-2143-4679-a9cb-8b8ebd26f3d0","year":2019},"citing_paper":{"arxiv_id":"2502.02535","last_updated":"2025-02-04T18:00:02Z","snapshot_observed_at":"2026-08-21T03:18:22.876432Z","submitted_at":"2025-02-04T18:00:02Z","title":"Criticality conditions in the Derrida-Retaux model with a random number of terms","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-09T11:58:03.393368Z"},"links":{"citing_paper":"/paper/2502.02535"},"observation_digest":"sha256:10e6fd874eeaa983768e72905f3f2c4320b2e360e8f11cb82e7d9516800e56bc","observation_id":"ab58b570-159f-4a8a-bec3-8068783c689e","resolution":{"observed_at":"2026-08-09T11:58:03.484460Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-09T11:58:03.471345Z","title":"and Retaux, M","venue":null,"work_id":"0db6992b-1ec4-407b-984f-e9715bfe0e5d","year":2014},"citing_paper":{"arxiv_id":"2502.02535","last_updated":"2025-02-04T18:00:02Z","snapshot_observed_at":"2026-08-21T03:18:22.876432Z","submitted_at":"2025-02-04T18:00:02Z","title":"Criticality conditions in the Derrida-Retaux model with a random number of terms","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-09T11:58:03.396575Z"},"links":{"citing_paper":"/paper/2502.02535"},"observation_digest":"sha256:6cacc26b812f647ee53ce591407b2a91d4511b8125db16a3bcbfb3c9ad9ffe1a","observation_id":"3d4078a3-0885-4394-b6f7-5a11fd8f4860","resolution":{"observed_at":"2026-08-09T11:58:03.475380Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-09T11:58:03.462677Z","title":"and Vannimenus, J","venue":null,"work_id":"3b27ef0b-356c-4d15-9b43-0fb7100f777e","year":1992},"citing_paper":{"arxiv_id":"2502.02535","last_updated":"2025-02-04T18:00:02Z","snapshot_observed_at":"2026-08-21T03:18:22.876432Z","submitted_at":"2025-02-04T18:00:02Z","title":"Criticality conditions in the Derrida-Retaux model with a random number of terms","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-09T11:58:03.399904Z"},"links":{"citing_paper":"/paper/2502.02535"},"observation_digest":"sha256:5e69984b08edc7ac2eccaed0639bcd89c3f2503a0065654209d9de80eb95d765","observation_id":"0c29f208-9431-48df-b50a-d127a42a84a4","resolution":{"observed_at":"2026-08-09T11:58:03.465674Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-09T11:58:03.453965Z","title":"and Toninelli, F.L","venue":null,"work_id":"f191e57b-ff29-479c-8b00-d9a4bd5594b2","year":2010},"citing_paper":{"arxiv_id":"2502.02535","last_updated":"2025-02-04T18:00:02Z","snapshot_observed_at":"2026-08-21T03:18:22.876432Z","submitted_at":"2025-02-04T18:00:02Z","title":"Criticality conditions in the Derrida-Retaux model with a random number of terms","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-09T11:58:03.403363Z"},"links":{"citing_paper":"/paper/2502.02535"},"observation_digest":"sha256:ce8cd3e46146a2dc0c211b26e4eb3cdbb2f62fb5c10255bc81e6b422173e22ad","observation_id":"cce03655-f7db-4d3c-9fc8-b7fd76d4baa6","resolution":{"observed_at":"2026-08-09T11:58:03.457094Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-09T11:58:03.445152Z","title":"and Shi, Z","venue":null,"work_id":"9cb47fec-c113-474c-91f3-1bc07938a677","year":2018},"citing_paper":{"arxiv_id":"2502.02535","last_updated":"2025-02-04T18:00:02Z","snapshot_observed_at":"2026-08-21T03:18:22.876432Z","submitted_at":"2025-02-04T18:00:02Z","title":"Criticality conditions in the Derrida-Retaux model with a random number of terms","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-09T11:58:03.406521Z"},"links":{"citing_paper":"/paper/2502.02535"},"observation_digest":"sha256:85bb9caf10761f7caa58299a1882b2a70669a3a20874322feefd48bafa019036","observation_id":"e9f7ba52-e88a-4066-87d2-13638cbe9cc9","resolution":{"observed_at":"2026-08-09T11:58:03.448227Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-09T11:58:03.433721Z","title":"Theory Related Fields 148, 159–175","venue":null,"work_id":"a1acf76e-6171-48c6-8128-72f53e4df728","year":2010},"citing_paper":{"arxiv_id":"2502.02535","last_updated":"2025-02-04T18:00:02Z","snapshot_observed_at":"2026-08-21T03:18:22.876432Z","submitted_at":"2025-02-04T18:00:02Z","title":"Criticality conditions in the Derrida-Retaux model with a random number of terms","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-09T11:58:03.410144Z"},"links":{"citing_paper":"/paper/2502.02535"},"observation_digest":"sha256:f16dd6fcdc2140be38a1371fdd1972662302170306429dd8d45c8e081ed53406","observation_id":"1ab1cfac-d064-4147-9e7d-aed2a8fee906","resolution":{"observed_at":"2026-08-09T11:58:03.438800Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2502.02535","last_updated":"2025-02-04T18:00:02Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-21T03:18:22.876432Z","submitted_at":"2025-02-04T18:00:02Z","title":"Criticality conditions in the Derrida-Retaux model with a random number of terms"},"reference_resolution":{"displayed":7,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":7},"total_outbound_references":7},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2502.02535."}