{"as_of":"2026-08-13T07:29:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8d1a8571b21ff3abf9aa0add633a1763874f83a10a0461b82d878164eeb7b849","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":"2026-08-12T15:39:38.744732Z","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":"2026-08-13T06:32:02.005865+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/2411.14145/citation-record","integrity":"/paper/2411.14145/integrity","json":"/paper/2411.14145/citation-record.json","paper":"/paper/2411.14145"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T15:39:38.895325Z","title":null,"venue":null,"work_id":"aa317f79-8c04-41a6-86ce-503ab2243f45","year":1991},"citing_paper":{"arxiv_id":"2411.14145","last_updated":"2024-11-21T14:07:46Z","snapshot_observed_at":"2026-08-12T15:26:59.468870Z","submitted_at":"2024-11-21T14:07:46Z","title":"The structure of sets with cube-avoiding sumsets","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T15:39:38.702698Z"},"links":{"citing_paper":"/paper/2411.14145"},"observation_digest":"sha256:cb22a8f1a4d32d10afd50e85bfba74d5237d647cd8687f8aa1e7f88b7c4c323f","observation_id":"7ed5f24a-7d49-48e9-abeb-c827d273160e","resolution":{"observed_at":"2026-08-12T15:39:38.899760Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:38.884930Z","title":"Bloom, J","venue":null,"work_id":"18f8408d-0763-4189-87d1-1c461bb1d791","year":2022},"citing_paper":{"arxiv_id":"2411.14145","last_updated":"2024-11-21T14:07:46Z","snapshot_observed_at":"2026-08-12T15:26:59.468870Z","submitted_at":"2024-11-21T14:07:46Z","title":"The structure of sets with cube-avoiding sumsets","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T15:39:38.707025Z"},"links":{"citing_paper":"/paper/2411.14145"},"observation_digest":"sha256:8070e44ee3766cc77927014dd5f7cf82341edbc2b8b5444f9a6f722339642722","observation_id":"3fad24c2-84d2-4a61-b276-9ccd811dc490","resolution":{"observed_at":"2026-08-12T15:39:38.888534Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:38.873717Z","title":"Breuillard, B","venue":null,"work_id":"00e39fbb-684e-4a01-ad3e-036f309b5f8e","year":2012},"citing_paper":{"arxiv_id":"2411.14145","last_updated":"2024-11-21T14:07:46Z","snapshot_observed_at":"2026-08-12T15:26:59.468870Z","submitted_at":"2024-11-21T14:07:46Z","title":"The structure of sets with cube-avoiding sumsets","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T15:39:38.711190Z"},"links":{"citing_paper":"/paper/2411.14145"},"observation_digest":"sha256:0069243a933bceb2fac1e653a55423f0fdce8006ad2fc091bb6ec17642aee76d","observation_id":"1b2edc79-be1f-4fd2-9b01-2135a1f68af1","resolution":{"observed_at":"2026-08-12T15:39:38.877704Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:38.861738Z","title":"Furstenberg, Ergodic behavior of diagonal measures and a theorem of Szeme rédi on arithmetic progressions, J","venue":null,"work_id":"c6372db6-c2f3-4f38-95b9-4693b8f93cb5","year":1977},"citing_paper":{"arxiv_id":"2411.14145","last_updated":"2024-11-21T14:07:46Z","snapshot_observed_at":"2026-08-12T15:26:59.468870Z","submitted_at":"2024-11-21T14:07:46Z","title":"The structure of sets with cube-avoiding sumsets","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T15:39:38.715770Z"},"links":{"citing_paper":"/paper/2411.14145"},"observation_digest":"sha256:d727ce72bd15cce815f6c8733f4bf6a51a73b8f0c033551311e45d46ed3c41e5","observation_id":"05b2fd5a-203c-4216-aafd-b8829d04d108","resolution":{"observed_at":"2026-08-12T15:39:38.866021Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.02244","last_updated":"2024-05-20T20:12:42Z","snapshot_observed_at":"2026-08-13T00:39:00.449051Z","submitted_at":"2024-04-02T19:03:51Z","title":"Marton's Conjecture in abelian groups with bounded torsion","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.02244","snapshot_observed_at":"2026-08-12T15:39:38.719742Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.14145","last_updated":"2024-11-21T14:07:46Z","snapshot_observed_at":"2026-08-12T15:26:59.468870Z","submitted_at":"2024-11-21T14:07:46Z","title":"The structure of sets with cube-avoiding sumsets","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T15:39:38.719742Z"},"links":{"cited_paper":"/paper/2404.02244","citing_paper":"/paper/2411.14145"},"observation_digest":"sha256:5f401bf418f53f4cde1aa7256cbd5e1eaf8a55754d451ea10f06e16fde69d6db","observation_id":"034185b4-829b-4be8-8a2b-d536dbe677f5","resolution":{"observed_at":"2026-08-12T15:39:38.719742Z","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":"2026-08-12T15:39:38.850006Z","title":null,"venue":null,"work_id":"d9f32544-c063-4a50-b8ab-a2bc6bda3fd3","year":2024},"citing_paper":{"arxiv_id":"2411.14145","last_updated":"2024-11-21T14:07:46Z","snapshot_observed_at":"2026-08-12T15:26:59.468870Z","submitted_at":"2024-11-21T14:07:46Z","title":"The structure of sets with cube-avoiding sumsets","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T15:39:38.725262Z"},"links":{"citing_paper":"/paper/2411.14145"},"observation_digest":"sha256:0a09fd942951f797fcd5d6c08cfe9f1c37d19f514f9480aff1d1e391f2eee08f","observation_id":"dbd8b05d-8e32-42cc-948d-d4926e95fe87","resolution":{"observed_at":"2026-08-12T15:39:38.853943Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:38.837602Z","title":"Haz ˛ła, T","venue":null,"work_id":"2edabf54-b0fe-4b5c-912c-52ad6cb8c371","year":2018},"citing_paper":{"arxiv_id":"2411.14145","last_updated":"2024-11-21T14:07:46Z","snapshot_observed_at":"2026-08-12T15:26:59.468870Z","submitted_at":"2024-11-21T14:07:46Z","title":"The structure of sets with cube-avoiding sumsets","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T15:39:38.729659Z"},"links":{"citing_paper":"/paper/2411.14145"},"observation_digest":"sha256:1901a3b45b081980a2d7ad71fe963ce7fa5b3cfcc89cb99cb4bffb66d8cfacb6","observation_id":"80c8fd22-37ea-48ed-9d4e-bacf57cf492c","resolution":{"observed_at":"2026-08-12T15:39:38.841629Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:38.826069Z","title":"Karam, P","venue":null,"work_id":"577e6254-a0b4-4452-9d15-d96c7bd4f3ae","year":null},"citing_paper":{"arxiv_id":"2411.14145","last_updated":"2024-11-21T14:07:46Z","snapshot_observed_at":"2026-08-12T15:26:59.468870Z","submitted_at":"2024-11-21T14:07:46Z","title":"The structure of sets with cube-avoiding sumsets","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T15:39:38.733635Z"},"links":{"citing_paper":"/paper/2411.14145"},"observation_digest":"sha256:902c4a34a4f95cb111e208b9c1e439ca72ee4a59e284db502ba205146a73e4a4","observation_id":"327b81b4-163c-43b1-a0eb-fd6a82fffed1","resolution":{"observed_at":"2026-08-12T15:39:38.829808Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:38.813530Z","title":"Keevash, N","venue":null,"work_id":"ad845b96-b6ff-4b7a-8554-50f5f3135b54","year":2023},"citing_paper":{"arxiv_id":"2411.14145","last_updated":"2024-11-21T14:07:46Z","snapshot_observed_at":"2026-08-12T15:26:59.468870Z","submitted_at":"2024-11-21T14:07:46Z","title":"The structure of sets with cube-avoiding sumsets","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T15:39:38.737295Z"},"links":{"citing_paper":"/paper/2411.14145"},"observation_digest":"sha256:bf63edae2b8f83e507f33baceefe9c53cb8d94112339f379e6b5c8ea02f5af8a","observation_id":"f247fa9f-d142-4b6f-ab46-a06666733682","resolution":{"observed_at":"2026-08-12T15:39:38.818417Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:38.798750Z","title":"Sárközy, On difference sets of sequences of integers","venue":null,"work_id":"39288323-f479-4c33-a024-1cb192201b65","year":1978},"citing_paper":{"arxiv_id":"2411.14145","last_updated":"2024-11-21T14:07:46Z","snapshot_observed_at":"2026-08-12T15:26:59.468870Z","submitted_at":"2024-11-21T14:07:46Z","title":"The structure of sets with cube-avoiding sumsets","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T15:39:38.740897Z"},"links":{"citing_paper":"/paper/2411.14145"},"observation_digest":"sha256:6397d04b6d6c0d73bb33900b55353c07433ac1405e2875482323fc50bbe3bf43","observation_id":"7c8801a2-ec81-4b99-b623-e66e72da4e77","resolution":{"observed_at":"2026-08-12T15:39:38.803534Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:38.784427Z","title":"Sárközy, On difference sets of sequences of integers","venue":null,"work_id":"9e3dc329-05ba-4e80-81d2-8f79c7931066","year":1978},"citing_paper":{"arxiv_id":"2411.14145","last_updated":"2024-11-21T14:07:46Z","snapshot_observed_at":"2026-08-12T15:26:59.468870Z","submitted_at":"2024-11-21T14:07:46Z","title":"The structure of sets with cube-avoiding sumsets","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T15:39:38.744732Z"},"links":{"citing_paper":"/paper/2411.14145"},"observation_digest":"sha256:5b2a42686d31ca33bc4cfebe9860fb6ea5e5340b98c829b3b0890ef894b308a1","observation_id":"92e204d3-bf02-4650-8388-689e3ccc9028","resolution":{"observed_at":"2026-08-12T15:39:38.790088Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.14145","last_updated":"2024-11-21T14:07:46Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-12T15:26:59.468870Z","submitted_at":"2024-11-21T14:07:46Z","title":"The structure of sets with cube-avoiding sumsets"},"reference_resolution":{"displayed":11,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":0,"verified_fuzzy":8},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2411.14145."}