{"as_of":"2026-08-18T21:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:13c4975fc3412bd9927e0431406d788d94ceb27e5d6fb8a2c1e017557a4f8f2b","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":"2026-08-05T20:00:57.007625Z","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":"2026-08-18T06:34:40.430872+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/2508.11577/citation-record","integrity":"/paper/2508.11577/integrity","json":"/paper/2508.11577/citation-record.json","paper":"/paper/2508.11577"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.09582","last_updated":"2025-01-16T15:05:01Z","snapshot_observed_at":"2026-08-14T09:44:04.141611Z","submitted_at":"2025-01-16T15:05:01Z","title":"On finitely many base $q$ expansions","version":1},"cited_work":{"arxiv_id":"2501.09582","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.09582","snapshot_observed_at":"2026-08-05T20:00:57.114897Z","title":"On finitely many base $q$ expansions","venue":"math.DS","work_id":"6e7704f9-def6-4fbf-9072-5b07229e3b0e","year":2025},"citing_paper":{"arxiv_id":"2508.11577","last_updated":"2026-07-31T13:23:34Z","snapshot_observed_at":"2026-08-13T16:05:23.432313Z","submitted_at":"2025-08-15T16:33:36Z","title":"The matrix potential game and structures of self-affine sets","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T20:00:56.122298Z"},"links":{"cited_paper":"/paper/2501.09582","citing_paper":"/paper/2508.11577"},"observation_digest":"sha256:082bad33f282844e02b300871e8c25ad69e84e925eea32c08dac94fbf100eba6","observation_id":"7c14efe1-9a2b-4d3c-9528-d51aa39b077e","resolution":{"observed_at":"2026-08-05T20:00:57.178555Z","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":"2026-08-05T20:00:58.025863Z","title":"Broderick, L","venue":null,"work_id":"c6455da2-7bbb-4630-a5ab-b39a451cacca","year":2019},"citing_paper":{"arxiv_id":"2508.11577","last_updated":"2026-07-31T13:23:34Z","snapshot_observed_at":"2026-08-13T16:05:23.432313Z","submitted_at":"2025-08-15T16:33:36Z","title":"The matrix potential game and structures of self-affine sets","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T20:00:56.253507Z"},"links":{"citing_paper":"/paper/2508.11577"},"observation_digest":"sha256:1aa980ec5ad88240c00f4554bf44ba7992f8e9e3fee05438487a806239251f75","observation_id":"dbd72f8f-179b-48b8-94a5-3c1869bba7c0","resolution":{"observed_at":"2026-08-05T20:00:58.107378Z","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":"2026-08-05T20:00:57.901058Z","title":null,"venue":null,"work_id":"0c160dd7-1e8e-4201-9b8d-f4f5974190db","year":2016},"citing_paper":{"arxiv_id":"2508.11577","last_updated":"2026-07-31T13:23:34Z","snapshot_observed_at":"2026-08-13T16:05:23.432313Z","submitted_at":"2025-08-15T16:33:36Z","title":"The matrix potential game and structures of self-affine sets","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T20:00:56.406165Z"},"links":{"citing_paper":"/paper/2508.11577"},"observation_digest":"sha256:fe520b82bbbfcb88810fe3d3ca42a051c3180de4a1e87d33c4d248cd5acf6d05","observation_id":"3caec3dc-8727-423b-852a-28b1648005ed","resolution":{"observed_at":"2026-08-05T20:00:57.958833Z","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":"2026-08-05T20:00:57.750401Z","title":"Falconer.Fractal geometry - mathematical foundations and applications.John Wiley & Sons, Ltd., Chichester, 1990","venue":null,"work_id":"162789cf-a196-49ca-b033-2a5b644deaec","year":1990},"citing_paper":{"arxiv_id":"2508.11577","last_updated":"2026-07-31T13:23:34Z","snapshot_observed_at":"2026-08-13T16:05:23.432313Z","submitted_at":"2025-08-15T16:33:36Z","title":"The matrix potential game and structures of self-affine sets","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T20:00:56.560947Z"},"links":{"citing_paper":"/paper/2508.11577"},"observation_digest":"sha256:254228c52d0a69fa3421ac3fe28ea9b7e00ae135bc1ab91e5db9eddcdfcc19f8","observation_id":"824a7635-296f-47b1-8c18-5877cc8eb402","resolution":{"observed_at":"2026-08-05T20:00:57.803097Z","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":"2026-08-05T20:00:57.651500Z","title":"Falconer.Techniques in fractal geometry","venue":null,"work_id":"a1479c28-6db2-436d-befb-72936e143ba1","year":1997},"citing_paper":{"arxiv_id":"2508.11577","last_updated":"2026-07-31T13:23:34Z","snapshot_observed_at":"2026-08-13T16:05:23.432313Z","submitted_at":"2025-08-15T16:33:36Z","title":"The matrix potential game and structures of self-affine sets","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T20:00:56.738798Z"},"links":{"citing_paper":"/paper/2508.11577"},"observation_digest":"sha256:8807f424ac954bc4122e0ea5046472a4be91c852c18d5ae2ae10328d9848dee1","observation_id":"4f0a0e69-b890-4331-ac37-cd7be3ceba91","resolution":{"observed_at":"2026-08-05T20:00:57.690242Z","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":"2026-08-05T20:00:57.525766Z","title":"Falconer and A","venue":null,"work_id":"b26e3797-5f9b-463a-94a2-5ad1e289bbb1","year":2022},"citing_paper":{"arxiv_id":"2508.11577","last_updated":"2026-07-31T13:23:34Z","snapshot_observed_at":"2026-08-13T16:05:23.432313Z","submitted_at":"2025-08-15T16:33:36Z","title":"The matrix potential game and structures of self-affine sets","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T20:00:56.826276Z"},"links":{"citing_paper":"/paper/2508.11577"},"observation_digest":"sha256:74fc1a7aa5577fc203d81241a5a23e9fb064b97e8c1f9b736787e7f162b054a2","observation_id":"ed096c53-6bf3-4fa9-b756-b22af1f0c818","resolution":{"observed_at":"2026-08-05T20:00:57.602238Z","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":"2026-08-05T20:00:57.408395Z","title":"Fishman, D","venue":null,"work_id":"be6c9d1a-0417-4ec6-b21c-9ec0e45716e7","year":2018},"citing_paper":{"arxiv_id":"2508.11577","last_updated":"2026-07-31T13:23:34Z","snapshot_observed_at":"2026-08-13T16:05:23.432313Z","submitted_at":"2025-08-15T16:33:36Z","title":"The matrix potential game and structures of self-affine sets","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T20:00:56.911142Z"},"links":{"citing_paper":"/paper/2508.11577"},"observation_digest":"sha256:e6941cd22db86fe8dfd6d2bcd298ed505c24920451cea3e53e10a80948f2510d","observation_id":"0c74c703-5e37-4838-8eb0-6b3936b34b9a","resolution":{"observed_at":"2026-08-05T20:00:57.457516Z","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":"2026-08-05T20:00:57.263454Z","title":null,"venue":null,"work_id":"c580035b-2b8c-4ef6-aa51-aa1daecf9060","year":1981},"citing_paper":{"arxiv_id":"2508.11577","last_updated":"2026-07-31T13:23:34Z","snapshot_observed_at":"2026-08-13T16:05:23.432313Z","submitted_at":"2025-08-15T16:33:36Z","title":"The matrix potential game and structures of self-affine sets","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T20:00:57.007625Z"},"links":{"citing_paper":"/paper/2508.11577"},"observation_digest":"sha256:3d2a17205812a8d3516fb5471becdc2c0264de8b912c4a5fbdbd09ad5234bb6d","observation_id":"e19e69eb-e078-4536-9490-e77ed8f31687","resolution":{"observed_at":"2026-08-05T20:00:57.341864Z","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":"2508.11577","last_updated":"2026-07-31T13:23:34Z","latest_version":2,"primary_category":"math.DS","snapshot_observed_at":"2026-08-13T16:05:23.432313Z","submitted_at":"2025-08-15T16:33:36Z","title":"The matrix potential game and structures of self-affine sets"},"reference_resolution":{"displayed":8,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":1,"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":"2026-08-18T06:34:40.430872+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 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2508.11577."}