{"as_of":"2026-08-13T04:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:add1e9252e83f28c4d630f4f446942ea29c2ee8c9d52e2abe7e324da0d616ea0","coverage":[{"denominator":13,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":13,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T14:42:17.391510Z","state":"measured"},{"denominator":13,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":13,"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/2411.15137/citation-record","integrity":"/paper/2411.15137/integrity","json":"/paper/2411.15137/citation-record.json","paper":"/paper/2411.15137"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:42:17.627706Z","title":"On app roximability of satisfiable k-csps: III","venue":null,"work_id":"b05d81ca-d3b4-4232-83ef-6a4ed89270ca","year":2023},"citing_paper":{"arxiv_id":"2411.15137","last_updated":"2024-11-22T18:58:32Z","snapshot_observed_at":"2026-08-12T14:25:08.951020Z","submitted_at":"2024-11-22T18:58:32Z","title":"Reasonable Bounds for Combinatorial Lines of Length Three","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T14:42:17.319234Z"},"links":{"citing_paper":"/paper/2411.15137"},"observation_digest":"sha256:acf7b8246863e35e604f958be115637155090778ac03c5669efad5ec64320827","observation_id":"1626d85b-3bc2-4f35-945e-4bce2bfcc418","resolution":{"observed_at":"2026-08-12T14:42:17.633331Z","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":"2026-08-12T14:42:17.598889Z","title":"On app roximability of satisfiable k-csps: IV","venue":null,"work_id":"2edc0cbe-45a7-4c72-89d0-36dc1dbda6f2","year":2024},"citing_paper":{"arxiv_id":"2411.15137","last_updated":"2024-11-22T18:58:32Z","snapshot_observed_at":"2026-08-12T14:25:08.951020Z","submitted_at":"2024-11-22T18:58:32Z","title":"Reasonable Bounds for Combinatorial Lines of Length Three","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T14:42:17.324024Z"},"links":{"citing_paper":"/paper/2411.15137"},"observation_digest":"sha256:18e1e76991c550f6fa9500860f154e14291a2a7bf28412e8557ea3e351dac27f","observation_id":"de155bf3-58d4-4e00-85ac-246a9c0f1008","resolution":{"observed_at":"2026-08-12T14:42:17.612154Z","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":{"arxiv_id":"2309.02353","last_updated":"2023-09-05T16:08:49Z","snapshot_observed_at":"2026-08-10T04:28:41.114288Z","submitted_at":"2023-09-05T16:08:49Z","title":"An improvement to the Kelley-Meka bounds on three-term arithmetic progressions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.02353","snapshot_observed_at":"2026-08-12T14:42:17.341228Z","title":"[DKT14] Pandelis Dodos, Vassilis Kanellopoulos, and Konst antinos Tyros","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2411.15137","last_updated":"2024-11-22T18:58:32Z","snapshot_observed_at":"2026-08-12T14:25:08.951020Z","submitted_at":"2024-11-22T18:58:32Z","title":"Reasonable Bounds for Combinatorial Lines of Length Three","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T14:42:17.341228Z"},"links":{"cited_paper":"/paper/2309.02353","citing_paper":"/paper/2411.15137"},"observation_digest":"sha256:2ce9a37e4bbf81165e8ada8af672e010337d6585ad37f11dc3873b5cdf3ad1e1","observation_id":"2242828c-49e9-4816-9400-d020f71320f1","resolution":{"observed_at":"2026-08-12T14:42:17.341228Z","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":"2026-08-12T14:42:17.553077Z","title":"[Len24] James Leng","venue":null,"work_id":"4634233a-d9ac-48f0-bdb3-5ad13f615071","year":2023},"citing_paper":{"arxiv_id":"2411.15137","last_updated":"2024-11-22T18:58:32Z","snapshot_observed_at":"2026-08-12T14:25:08.951020Z","submitted_at":"2024-11-22T18:58:32Z","title":"Reasonable Bounds for Combinatorial Lines of Length Three","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T14:42:17.370133Z"},"links":{"citing_paper":"/paper/2411.15137"},"observation_digest":"sha256:5a19d8e0412b286dcd30360901615ac98fa961be819ec9d5a173f78fd01afd15","observation_id":"01111e03-ef45-48f0-9f2d-2b7423fc3f52","resolution":{"observed_at":"2026-08-12T14:42:17.559827Z","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":{"arxiv_id":"2312.10776","last_updated":"2024-04-10T12:20:20Z","snapshot_observed_at":"2026-07-06T17:04:17.738921Z","submitted_at":"2023-12-17T17:53:11Z","title":"Improved bounds for five-term arithmetic progressions","version":2},"cited_work":{"arxiv_id":"2312.10776","doi":null,"metadata_source":"pith","pith_arxiv_id":"2312.10776","snapshot_observed_at":"2026-08-12T14:42:17.457700Z","title":"Improved bounds for five-term arithmetic progressions","venue":"math.NT","work_id":"8ff55e74-726b-458a-bbe3-763df48b450a","year":2023},"citing_paper":{"arxiv_id":"2411.15137","last_updated":"2024-11-22T18:58:32Z","snapshot_observed_at":"2026-08-12T14:25:08.951020Z","submitted_at":"2024-11-22T18:58:32Z","title":"Reasonable Bounds for Combinatorial Lines of Length Three","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T14:42:17.379354Z"},"links":{"cited_paper":"/paper/2312.10776","citing_paper":"/paper/2411.15137"},"observation_digest":"sha256:c233801d5f28d827502b668bf64631369808c40ccbd7d8c4f54b77b6a4a5338a","observation_id":"ec4842ea-93bb-4b7e-b17f-add544eb903a","resolution":{"observed_at":"2026-08-12T14:42:17.464510Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"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":{"arxiv_id":"2402.17995","last_updated":"2024-02-29T18:22:36Z","snapshot_observed_at":"2026-08-13T04:08:38.561018Z","submitted_at":"2024-02-28T02:19:59Z","title":"Improved Bounds for Szemer\\'{e}di's Theorem","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.17995","snapshot_observed_at":"2026-08-12T14:42:17.382917Z","title":"[LSS24b] James Leng, Ashwin Sah, and Mehtaab Sawhney","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2411.15137","last_updated":"2024-11-22T18:58:32Z","snapshot_observed_at":"2026-08-12T14:25:08.951020Z","submitted_at":"2024-11-22T18:58:32Z","title":"Reasonable Bounds for Combinatorial Lines of Length Three","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T14:42:17.382917Z"},"links":{"cited_paper":"/paper/2402.17995","citing_paper":"/paper/2411.15137"},"observation_digest":"sha256:55f8694b0be0f3c0886e3f5c1ac106483650f28b6cda64f52b6a5c6bb8484a11","observation_id":"0128e70f-602f-4463-89b3-d5fd6d511ff8","resolution":{"observed_at":"2026-08-12T14:42:17.382917Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.17994","last_updated":"2024-08-10T15:47:43Z","snapshot_observed_at":"2026-08-13T04:08:39.084898Z","submitted_at":"2024-02-28T02:18:59Z","title":"Quasipolynomial bounds on the inverse theorem for the Gowers $U^{s+1}[N]$-norm","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.17994","snapshot_observed_at":"2026-08-12T14:42:17.387318Z","title":"[Pel18] Sarah Peluse","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2411.15137","last_updated":"2024-11-22T18:58:32Z","snapshot_observed_at":"2026-08-12T14:25:08.951020Z","submitted_at":"2024-11-22T18:58:32Z","title":"Reasonable Bounds for Combinatorial Lines of Length Three","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T14:42:17.387318Z"},"links":{"cited_paper":"/paper/2402.17994","citing_paper":"/paper/2411.15137"},"observation_digest":"sha256:30cc229bc838e258676be8ad4ece5d596c37cf0b9e7da3fb771893640d7f8610","observation_id":"6ec0148a-ca81-498e-a759-2bf4a9e09d05","resolution":{"observed_at":"2026-08-12T14:42:17.387318Z","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":"2026-08-12T14:42:17.584691Z","title":"[FK91] H","venue":null,"work_id":"3c8bfbe8-f766-4d53-aaed-575b3cc0488d","year":1988},"citing_paper":{"arxiv_id":"2411.15137","last_updated":"2024-11-22T18:58:32Z","snapshot_observed_at":"2026-08-12T14:25:08.951020Z","submitted_at":"2024-11-22T18:58:32Z","title":"Reasonable Bounds for Combinatorial Lines of Length Three","version":1},"reference_index":1989,"source":"pdf_text","source_observed_at":"2026-08-12T14:42:17.348557Z"},"links":{"citing_paper":"/paper/2411.15137"},"observation_digest":"sha256:924339a817c2b34b88c879a48dbd701746c99e48f3bb5cb95e80c9f70e03714d","observation_id":"ae32ae37-2018-4368-a301-295024b216ee","resolution":{"observed_at":"2026-08-12T14:42:17.589083Z","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":{"arxiv_id":"math/0409420","last_updated":"2004-09-22T09:05:36Z","snapshot_observed_at":"2026-07-07T05:43:36.498952Z","submitted_at":"2004-09-22T09:05:36Z","title":"Finite field models in additive combinatorics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0409420","snapshot_observed_at":"2026-08-12T14:42:17.360943Z","title":"[Gre05a] Ben Green","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2411.15137","last_updated":"2024-11-22T18:58:32Z","snapshot_observed_at":"2026-08-12T14:25:08.951020Z","submitted_at":"2024-11-22T18:58:32Z","title":"Reasonable Bounds for Combinatorial Lines of Length Three","version":1},"reference_index":2004,"source":"pdf_text","source_observed_at":"2026-08-12T14:42:17.360943Z"},"links":{"cited_paper":"/paper/math/0409420","citing_paper":"/paper/2411.15137"},"observation_digest":"sha256:3a0d91ab77eb13648e982c0927e3ccf10e546ab2b4fc5da333a8253532bc02fd","observation_id":"d8eba9a0-cf96-4611-a77b-e34f00bb5219","resolution":{"observed_at":"2026-08-12T14:42:17.360943Z","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":"2026-08-12T14:42:17.539085Z","title":"Szemerédi","venue":null,"work_id":"bd8fa29a-960e-4401-8617-ebc4b2a0a744","year":1974},"citing_paper":{"arxiv_id":"2411.15137","last_updated":"2024-11-22T18:58:32Z","snapshot_observed_at":"2026-08-12T14:25:08.951020Z","submitted_at":"2024-11-22T18:58:32Z","title":"Reasonable Bounds for Combinatorial Lines of Length Three","version":1},"reference_index":2006,"source":"pdf_text","source_observed_at":"2026-08-12T14:42:17.391510Z"},"links":{"citing_paper":"/paper/2411.15137"},"observation_digest":"sha256:93d121bf9620a5092a4c05af932f73b1a24388bc93b1bf1b977531a7e86ccf33","observation_id":"836cb466-6d77-48ea-8c65-24b2c5bca87a","resolution":{"observed_at":"2026-08-12T14:42:17.543722Z","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":"2026-08-12T14:42:17.569567Z","title":"Strong bounds for 3-pro gressions","venue":null,"work_id":"40c5e19f-ddb0-460c-9968-ae77f9d8d849","year":2023},"citing_paper":{"arxiv_id":"2411.15137","last_updated":"2024-11-22T18:58:32Z","snapshot_observed_at":"2026-08-12T14:25:08.951020Z","submitted_at":"2024-11-22T18:58:32Z","title":"Reasonable Bounds for Combinatorial Lines of Length Three","version":1},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-12T14:42:17.365727Z"},"links":{"citing_paper":"/paper/2411.15137"},"observation_digest":"sha256:9bb579b99af34cbf3e7e321d63840a21f8f2c42d3b8420d8f66025b255014ed8","observation_id":"4b1d844c-486e-474f-a219-34a1ca452448","resolution":{"observed_at":"2026-08-12T14:42:17.575045Z","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":"2026-08-12T14:42:17.644562Z","title":"[BKM23b] Amey Bhangale, Subhash Khot, and Dor Minzer","venue":null,"work_id":"8d34e208-44af-4d75-8d78-0fb398ea6262","year":2023},"citing_paper":{"arxiv_id":"2411.15137","last_updated":"2024-11-22T18:58:32Z","snapshot_observed_at":"2026-08-12T14:25:08.951020Z","submitted_at":"2024-11-22T18:58:32Z","title":"Reasonable Bounds for Combinatorial Lines of Length Three","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-12T14:42:17.311408Z"},"links":{"citing_paper":"/paper/2411.15137"},"observation_digest":"sha256:e9a4178ab1949adf19eb39e606796a8aac1f70b57d524290f45be389954a89a7","observation_id":"41b063fc-9691-4f46-ac19-52b29745d800","resolution":{"observed_at":"2026-08-12T14:42:17.650351Z","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":{"arxiv_id":"2408.15377","last_updated":"2026-05-19T08:17:47Z","snapshot_observed_at":"2026-08-02T18:01:35.083275Z","submitted_at":"2024-08-27T19:30:26Z","title":"On Approximability of Satisfiable k-CSPs: V","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.15377","snapshot_observed_at":"2026-08-12T14:42:17.328860Z","title":"On app roximability of satisfiable k-csps: V","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2411.15137","last_updated":"2024-11-22T18:58:32Z","snapshot_observed_at":"2026-08-12T14:25:08.951020Z","submitted_at":"2024-11-22T18:58:32Z","title":"Reasonable Bounds for Combinatorial Lines of Length Three","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-12T14:42:17.328860Z"},"links":{"cited_paper":"/paper/2408.15377","citing_paper":"/paper/2411.15137"},"observation_digest":"sha256:d51fea763b082da08ca32b5d147eec580cc39f4db8934c21bafd8c4a2ea04496","observation_id":"e648b153-fe41-4cff-80bb-b6b6464cf82e","resolution":{"observed_at":"2026-08-12T14:42:17.328860Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2411.15137","last_updated":"2024-11-22T18:58:32Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-12T14:25:08.951020Z","submitted_at":"2024-11-22T18:58:32Z","title":"Reasonable Bounds for Combinatorial Lines of Length Three"},"reference_resolution":{"displayed":13,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":5,"verified_exact":0,"verified_fuzzy":7},"total_outbound_references":13},"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 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2411.15137."}