{"as_of":"2026-08-10T01:34:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c23192d76b76a6dd71b19a3362f89536a88f27da7557fab1fd6735223ab2c42f","coverage":[{"denominator":17,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":17,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T12:37:08.598410Z","state":"measured"},{"denominator":17,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":17,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+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/2509.01568/citation-record","integrity":"/paper/2509.01568/integrity","json":"/paper/2509.01568/citation-record.json","paper":"/paper/2509.01568"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:37:08.983576Z","title":"Large convex sets in difference sets","venue":null,"work_id":"2efda657-cde9-4acd-8ac6-df24cd38470c","year":2024},"citing_paper":{"arxiv_id":"2509.01568","last_updated":"2025-09-01T15:52:59Z","snapshot_observed_at":"2026-08-05T12:37:07.896061Z","submitted_at":"2025-09-01T15:52:59Z","title":"Additive structure in convex sets","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T12:37:08.510448Z"},"links":{"citing_paper":"/paper/2509.01568"},"observation_digest":"sha256:bd39095e6c744bc2b167b6f09f654cab57c27d6bf25e0fb0e80611e62bef1f1b","observation_id":"a0de5f5f-19e0-4b30-bbc9-dbb8afddfa18","resolution":{"observed_at":"2026-08-05T12:37:08.989656Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.09470","last_updated":"2025-01-16T11:15:08Z","snapshot_observed_at":"2026-07-06T20:21:55.366596Z","submitted_at":"2025-01-16T11:15:08Z","title":"Control and its applications in additive combinatorics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.09470","snapshot_observed_at":"2026-08-05T12:37:08.515785Z","title":"Control and its applications in additive combinatorics","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.01568","last_updated":"2025-09-01T15:52:59Z","snapshot_observed_at":"2026-08-05T12:37:07.896061Z","submitted_at":"2025-09-01T15:52:59Z","title":"Additive structure in convex sets","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T12:37:08.515785Z"},"links":{"cited_paper":"/paper/2501.09470","citing_paper":"/paper/2509.01568"},"observation_digest":"sha256:bff8ce9dc48c8feeb0daf5394308ca84b61a5a4ee3996936c5473f72f61f967b","observation_id":"e07a0469-c1cc-49fc-8447-d07fea9b0eee","resolution":{"observed_at":"2026-08-05T12:37:08.515785Z","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":"2026-08-05T12:37:08.965942Z","title":null,"venue":null,"work_id":"457e3b95-6900-4bf3-9cc0-6bc515a13435","year":1983},"citing_paper":{"arxiv_id":"2509.01568","last_updated":"2025-09-01T15:52:59Z","snapshot_observed_at":"2026-08-05T12:37:07.896061Z","submitted_at":"2025-09-01T15:52:59Z","title":"Additive structure in convex sets","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T12:37:08.520874Z"},"links":{"citing_paper":"/paper/2509.01568"},"observation_digest":"sha256:8655034461c571c98a2a18d30cd86ccdf042dcf8aa3bc1c0776b99c32f794fed","observation_id":"9a8404c8-c4c8-4de6-9496-470a6fc52dc0","resolution":{"observed_at":"2026-08-05T12:37:08.971134Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-05T12:37:08.947056Z","title":"Erd¨ os and G","venue":null,"work_id":"620edeb0-c2cf-4d5b-b350-dbabfff77587","year":1935},"citing_paper":{"arxiv_id":"2509.01568","last_updated":"2025-09-01T15:52:59Z","snapshot_observed_at":"2026-08-05T12:37:07.896061Z","submitted_at":"2025-09-01T15:52:59Z","title":"Additive structure in convex sets","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T12:37:08.526750Z"},"links":{"citing_paper":"/paper/2509.01568"},"observation_digest":"sha256:512552b18479ffd2a7d20822f418aa40e6bd5162175f530b650223d713b806b5","observation_id":"ce9e07bc-2799-4ea3-83f2-11c22fe41aa7","resolution":{"observed_at":"2026-08-05T12:37:08.952163Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-05T12:37:08.923059Z","title":null,"venue":null,"work_id":"4df3dacf-5596-4714-9e4e-b931e5d820c1","year":2000},"citing_paper":{"arxiv_id":"2509.01568","last_updated":"2025-09-01T15:52:59Z","snapshot_observed_at":"2026-08-05T12:37:07.896061Z","submitted_at":"2025-09-01T15:52:59Z","title":"Additive structure in convex sets","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T12:37:08.533211Z"},"links":{"citing_paper":"/paper/2509.01568"},"observation_digest":"sha256:db2920dddb8fd0399ce0f9343d65b7cb9b17dc1578af90a3c2ed9973bc82906f","observation_id":"4c0c1574-e6b4-42d9-b95e-f0017b5676f3","resolution":{"observed_at":"2026-08-05T12:37:08.932178Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-05T12:37:08.901543Z","title":null,"venue":null,"work_id":"6c2762e8-7825-4d74-a965-a1eb535cc18c","year":1926},"citing_paper":{"arxiv_id":"2509.01568","last_updated":"2025-09-01T15:52:59Z","snapshot_observed_at":"2026-08-05T12:37:07.896061Z","submitted_at":"2025-09-01T15:52:59Z","title":"Additive structure in convex sets","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T12:37:08.539028Z"},"links":{"citing_paper":"/paper/2509.01568"},"observation_digest":"sha256:ee29524159300bb3102d3e0117375091f2413138cfa35f6668c52f648a884efc","observation_id":"73dfeab5-b678-4e71-a346-920bfa0cb701","resolution":{"observed_at":"2026-08-05T12:37:08.906583Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-05T12:37:08.883697Z","title":"Koml´ os, M","venue":null,"work_id":"1c5d325a-99cc-4a10-9f13-c7b8e1b020e3","year":1975},"citing_paper":{"arxiv_id":"2509.01568","last_updated":"2025-09-01T15:52:59Z","snapshot_observed_at":"2026-08-05T12:37:07.896061Z","submitted_at":"2025-09-01T15:52:59Z","title":"Additive structure in convex sets","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T12:37:08.544303Z"},"links":{"citing_paper":"/paper/2509.01568"},"observation_digest":"sha256:b2cbbcaea6194fb927f7fa34e54d9e20d984af2d329a9591e7a345df924182da","observation_id":"79bd0116-3fb5-4c56-b59d-9fdb79dfe266","resolution":{"observed_at":"2026-08-05T12:37:08.889179Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-05T12:37:08.864266Z","title":null,"venue":null,"work_id":"79244641-852a-4efd-bc3d-51741bf653c5","year":2021},"citing_paper":{"arxiv_id":"2509.01568","last_updated":"2025-09-01T15:52:59Z","snapshot_observed_at":"2026-08-05T12:37:07.896061Z","submitted_at":"2025-09-01T15:52:59Z","title":"Additive structure in convex sets","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T12:37:08.549859Z"},"links":{"citing_paper":"/paper/2509.01568"},"observation_digest":"sha256:247e39ffb2bcc1109a61abd3fd7259a3345aad009e7f93fc65967b604b014899","observation_id":"791a2795-4319-4676-9e33-5267bdbef442","resolution":{"observed_at":"2026-08-05T12:37:08.869328Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-05T12:37:08.847537Z","title":"Roche-Newton and A","venue":null,"work_id":"c4ef24a5-663a-4cd2-b686-2075252d6843","year":2021},"citing_paper":{"arxiv_id":"2509.01568","last_updated":"2025-09-01T15:52:59Z","snapshot_observed_at":"2026-08-05T12:37:07.896061Z","submitted_at":"2025-09-01T15:52:59Z","title":"Additive structure in convex sets","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T12:37:08.555365Z"},"links":{"citing_paper":"/paper/2509.01568"},"observation_digest":"sha256:8fed0761a45d9721708db7d5134c4297f5e784b6aad4c3d16fa87445f237d7f4","observation_id":"382460ae-2228-4309-b96b-9587f96764eb","resolution":{"observed_at":"2026-08-05T12:37:08.852395Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-05T12:37:08.829388Z","title":"Roche-Newton and A","venue":null,"work_id":"93052e1a-54f0-4543-b963-5e19ea352610","year":2022},"citing_paper":{"arxiv_id":"2509.01568","last_updated":"2025-09-01T15:52:59Z","snapshot_observed_at":"2026-08-05T12:37:07.896061Z","submitted_at":"2025-09-01T15:52:59Z","title":"Additive structure in convex sets","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T12:37:08.560461Z"},"links":{"citing_paper":"/paper/2509.01568"},"observation_digest":"sha256:81f72b6f3cd575c228ef22ef67cbba56d5a20c6d9874d2eb96f785b38b6486d4","observation_id":"91af6fbb-cb86-4c9a-a921-ca065126c396","resolution":{"observed_at":"2026-08-05T12:37:08.835371Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-05T12:37:08.809088Z","title":"An update on the sum-product problem","venue":null,"work_id":"96ab5cde-2c20-422b-a678-f402c1ac4e9f","year":2022},"citing_paper":{"arxiv_id":"2509.01568","last_updated":"2025-09-01T15:52:59Z","snapshot_observed_at":"2026-08-05T12:37:07.896061Z","submitted_at":"2025-09-01T15:52:59Z","title":"Additive structure in convex sets","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T12:37:08.567221Z"},"links":{"citing_paper":"/paper/2509.01568"},"observation_digest":"sha256:e2c938f3bfdb92ca7e9429fd15d215eb8cd36391548682651122052176bc8d9e","observation_id":"ba7b1f70-3824-40e7-9dac-4e0d0cd989d7","resolution":{"observed_at":"2026-08-05T12:37:08.814456Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-05T12:37:08.776494Z","title":"Ruzsa and Dmitrii Zhelezov","venue":null,"work_id":"a4d51452-4c85-47e8-a910-caeaa4ad7ba6","year":2019},"citing_paper":{"arxiv_id":"2509.01568","last_updated":"2025-09-01T15:52:59Z","snapshot_observed_at":"2026-08-05T12:37:07.896061Z","submitted_at":"2025-09-01T15:52:59Z","title":"Additive structure in convex sets","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T12:37:08.571909Z"},"links":{"citing_paper":"/paper/2509.01568"},"observation_digest":"sha256:8c85ab268e3c58ca969105e07b3f0fd269537b650c54d29a76e26da96ddc7a31","observation_id":"2f2ae7a6-154a-4b95-ac3a-120a75eff6bf","resolution":{"observed_at":"2026-08-05T12:37:08.784435Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-05T12:37:08.753032Z","title":"On convolutions of convex sets and related problems","venue":null,"work_id":"e485ec7e-649c-498b-9eb1-1f40ef7fe4a3","year":2014},"citing_paper":{"arxiv_id":"2509.01568","last_updated":"2025-09-01T15:52:59Z","snapshot_observed_at":"2026-08-05T12:37:07.896061Z","submitted_at":"2025-09-01T15:52:59Z","title":"Additive structure in convex sets","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-05T12:37:08.577385Z"},"links":{"citing_paper":"/paper/2509.01568"},"observation_digest":"sha256:e3f0823bc13f358b04e26ea3cb97822cedce3014d824a117716fdeb500a16315","observation_id":"f8cc2199-503a-4fff-8a58-2483ccf221c1","resolution":{"observed_at":"2026-08-05T12:37:08.760297Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-05T12:37:08.729681Z","title":"Shkredov","venue":null,"work_id":"7d2013c7-6ed1-4777-ba20-07b5ca36b060","year":2011},"citing_paper":{"arxiv_id":"2509.01568","last_updated":"2025-09-01T15:52:59Z","snapshot_observed_at":"2026-08-05T12:37:07.896061Z","submitted_at":"2025-09-01T15:52:59Z","title":"Additive structure in convex sets","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T12:37:08.582769Z"},"links":{"citing_paper":"/paper/2509.01568"},"observation_digest":"sha256:5478ba52ba9f0a830369d44f638ea5bca5491239ed1178d95537fd3dab2dd2c9","observation_id":"d353067a-97a4-4e20-9778-959849b769a6","resolution":{"observed_at":"2026-08-05T12:37:08.738836Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-05T12:37:08.707249Z","title":null,"venue":null,"work_id":"9eb98c17-644d-4fcf-851e-e1e4b3d52fb1","year":2013},"citing_paper":{"arxiv_id":"2509.01568","last_updated":"2025-09-01T15:52:59Z","snapshot_observed_at":"2026-08-05T12:37:07.896061Z","submitted_at":"2025-09-01T15:52:59Z","title":"Additive structure in convex sets","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T12:37:08.587605Z"},"links":{"citing_paper":"/paper/2509.01568"},"observation_digest":"sha256:8bf54fff193f190d53031a41d5bcc09602d0f6ae4413dcad99c4573cb909c805","observation_id":"39a98639-5b71-4c2d-b8e3-030b03600e85","resolution":{"observed_at":"2026-08-05T12:37:08.713102Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-05T12:37:08.681979Z","title":null,"venue":null,"work_id":"f9f523fd-fbdb-4818-83c6-8d67460084b0","year":2023},"citing_paper":{"arxiv_id":"2509.01568","last_updated":"2025-09-01T15:52:59Z","snapshot_observed_at":"2026-08-05T12:37:07.896061Z","submitted_at":"2025-09-01T15:52:59Z","title":"Additive structure in convex sets","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T12:37:08.593179Z"},"links":{"citing_paper":"/paper/2509.01568"},"observation_digest":"sha256:598701f45fc96a1d67238569d940ecdbd1931db458bd4d02812d29ec0de9059f","observation_id":"48e219ff-9e27-4b99-9298-db242d097b0f","resolution":{"observed_at":"2026-08-05T12:37:08.689066Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-05T12:37:08.660630Z","title":"A theorem in finite projective geometry and some applications to number theory","venue":null,"work_id":"95252354-69de-4ee1-a880-392977e223b5","year":1938},"citing_paper":{"arxiv_id":"2509.01568","last_updated":"2025-09-01T15:52:59Z","snapshot_observed_at":"2026-08-05T12:37:07.896061Z","submitted_at":"2025-09-01T15:52:59Z","title":"Additive structure in convex sets","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T12:37:08.598410Z"},"links":{"citing_paper":"/paper/2509.01568"},"observation_digest":"sha256:4533ad65e54cb1a531026d64462ec032f3ec079a7650e0194aa3d9b53d764b49","observation_id":"431dc851-f805-43ef-a0ce-b5ed49778ff2","resolution":{"observed_at":"2026-08-05T12:37:08.668612Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2509.01568","last_updated":"2025-09-01T15:52:59Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-05T12:37:07.896061Z","submitted_at":"2025-09-01T15:52:59Z","title":"Additive structure in convex sets"},"reference_resolution":{"displayed":17,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":0,"verified_fuzzy":10},"total_outbound_references":17},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2509.01568."}