{"as_of":"2026-08-12T15:51:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9314cd9231cc8d25dc3afc16bb656b8b2afe7e86b7c66e42fe3c9f260adf8644","coverage":[{"denominator":52,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":52,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T21:51:33.339037Z","state":"measured"},{"denominator":58,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":58,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":6,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T21:17:39.261817Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-04T19:30:07.043419Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.23989","snapshot_observed_at":"2026-08-06T21:17:39.261817Z","title":"Factorization norms and an inverse theorem for MaxCut","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.00872","last_updated":"2025-07-15T01:11:32Z","snapshot_observed_at":"2026-08-06T21:02:46.054889Z","submitted_at":"2025-07-01T15:35:56Z","title":"Block structure in boolean matrices of bounded factorization norm","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-06T21:17:39.261817Z"},"links":{"cited_paper":"/paper/2506.23989","citing_paper":"/paper/2507.00872"},"observation_digest":"sha256:afbc531c785a210d01290262ce6223f452d0fe8b519cb242c6d231e7919ae6c7","observation_id":"c09208aa-a59b-4603-ba8a-3dffeecb0d46","resolution":{"observed_at":"2026-08-06T21:17:39.261817Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.23989","snapshot_observed_at":"2026-08-06T17:58:47.974353Z","title":"Factorization norms and an inverse theorem for maxcut, arXiv:2506.23989, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.10037","last_updated":"2025-07-14T08:15:11Z","snapshot_observed_at":"2026-08-10T07:30:48.300046Z","submitted_at":"2025-07-14T08:15:11Z","title":"An Alon-Boppana--type bound for very dense graphs, with applications to max-cut","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T17:58:47.974353Z"},"links":{"cited_paper":"/paper/2506.23989","citing_paper":"/paper/2507.10037"},"observation_digest":"sha256:63936e417a1fc5a752570be63910b232d239272690d0b4422d82ef4c5551d542","observation_id":"09cfc524-bb5f-40a8-81b3-0339ac1a4028","resolution":{"observed_at":"2026-08-06T17:58:47.974353Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.23989","snapshot_observed_at":"2026-08-06T16:43:39.691265Z","title":"Factorization norms and an inverse theorem for MaxCut","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.13298","last_updated":"2025-07-17T17:06:37Z","snapshot_observed_at":"2026-08-11T03:09:08.608085Z","submitted_at":"2025-07-17T17:06:37Z","title":"Beyond the MaxCut problem in $H$-free graphs","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T16:43:39.691265Z"},"links":{"cited_paper":"/paper/2506.23989","citing_paper":"/paper/2507.13298"},"observation_digest":"sha256:9e8d251e13d4395d3f18e47a39668d6c9a07e8bc047ec361f9d9aa6d17c23b40","observation_id":"573f28d6-c1f3-4965-b3b5-b824132f8fac","resolution":{"observed_at":"2026-08-06T16:43:39.691265Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"cited_work":{"arxiv_id":"2506.23989","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.23989","snapshot_observed_at":"2026-07-04T19:30:07.043419Z","title":"Factorization norms and an inverse theorem for MaxCut","venue":null,"work_id":"1adf4eee-b925-445a-b8fa-8f0c94633120","year":2025},"citing_paper":{"arxiv_id":"2606.25192","last_updated":"2026-07-01T21:21:14Z","snapshot_observed_at":"2026-08-09T04:45:06.003313Z","submitted_at":"2026-06-23T21:35:18Z","title":"Communication complexity of point-line incidences over the reals","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-06-25T21:20:25.057602Z"},"links":{"cited_paper":"/paper/2506.23989","citing_paper":"/paper/2606.25192"},"observation_digest":"sha256:a6f6dff6f59dbd80fb5a7e0a6a67ff065279d4a7743901383c166082f28a971e","observation_id":"ffbd80cf-05f5-4d98-a35c-eb6afea86755","resolution":{"observed_at":"2026-07-04T19:30:07.045365Z","resolver_source":"arxiv_id","status":"verified_exact"},"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":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.23989","snapshot_observed_at":"2026-07-31T23:59:51.937154Z","title":"Factorization norms and an inverse theorem for MaxCut, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.23928","last_updated":"2026-08-03T15:34:06Z","snapshot_observed_at":"2026-08-10T01:18:46.725042Z","submitted_at":"2026-07-27T01:48:38Z","title":"A note on matchings and co-matchings in bipartite graphs","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-31T23:59:51.937154Z"},"links":{"cited_paper":"/paper/2506.23989","citing_paper":"/paper/2607.23928"},"observation_digest":"sha256:9a36f94fc963844e9565ac1ed9f1c95bc936a5a6f6a7a1e28cbb2dc63d25be0d","observation_id":"53aeee19-8a1b-4a21-9baa-a411d1d80d54","resolution":{"observed_at":"2026-07-31T23:59:51.937154Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.23989","snapshot_observed_at":"2026-08-04T04:15:22.467675Z","title":"Factorization norms and an inverse theorem for MaxCut, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.23928","last_updated":"2026-08-03T15:34:06Z","snapshot_observed_at":"2026-08-10T01:18:46.725042Z","submitted_at":"2026-07-27T01:48:38Z","title":"A note on matchings and co-matchings in bipartite graphs","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T04:15:22.467675Z"},"links":{"cited_paper":"/paper/2506.23989","citing_paper":"/paper/2607.23928"},"observation_digest":"sha256:22e94ab8505e976f0533db0409be4a4ae0fbd1596de88a09ce6f4dc379dfd85e","observation_id":"1f348c96-7725-4473-8025-c91e916fe92e","resolution":{"observed_at":"2026-08-04T04:15:22.467675Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2506.23989/citation-record","integrity":"/paper/2506.23989/integrity","json":"/paper/2506.23989/citation-record.json","paper":"/paper/2506.23989"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:51:45.446173Z","title":null,"venue":null,"work_id":"395d9616-5cd3-4de7-92b6-2a2ec76666c2","year":2005},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:28.423635Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:a6e7d0952d140a5be1db07b13a48e0be5a4700ef4fa13bafbcc2c4135f93b41c","observation_id":"c8fee164-52b0-42a2-9a2e-bdbc61e9bff6","resolution":{"observed_at":"2026-08-06T21:51:45.507337Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-06T21:51:45.281655Z","title":null,"venue":null,"work_id":"ff831b86-2ef2-48dc-9938-79d1dd0cd593","year":1996},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:28.483372Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:ddae370e2490052a78799f9c845c71206cc2d591d6881bb0a929c8566ce90359","observation_id":"c9f03520-159e-432b-ad31-bd291ad7dd17","resolution":{"observed_at":"2026-08-06T21:51:45.351734Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-06T21:51:45.079586Z","title":null,"venue":null,"work_id":"7382cb93-0082-4f08-a2d6-e0982ed15750","year":2006},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:28.674974Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:14588f1f69eb3b0b6c6d7111a72e37728bb10edce5cb23a1fae1de9c95f6b3df","observation_id":"8a32c086-b4dc-450c-8c72-f5e6ef835eef","resolution":{"observed_at":"2026-08-06T21:51:45.191719Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:51:28.779161Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:28.779161Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:92c0c50959391e8c615b5ce18a888a1f3bd5096371624694c71374777b212570","observation_id":"12070f17-3d59-46ca-ac53-0e08759ea963","resolution":{"observed_at":"2026-08-06T21:51:28.779161Z","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":"2026-08-06T21:51:44.746699Z","title":"Beck and W","venue":null,"work_id":"9a51db8d-18ba-425e-abbe-63eb16b8e22d","year":1987},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:28.888423Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:0e85c30764bcf19616d40bc3f27b675b478694aed8147c64715b1cf2438765c2","observation_id":"26820f94-a759-4e0d-8315-b2cfc208f462","resolution":{"observed_at":"2026-08-06T21:51:44.906880Z","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":"2026-08-06T21:51:44.387481Z","title":"Balla, F","venue":null,"work_id":"dacff47b-a13e-4817-8bc9-20515d6362aa","year":2018},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:28.967932Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:c445a847ae69b571b6f5f16bbc3d856dbe169f61fe6ddb8922c94731c4093fc4","observation_id":"0a2a6154-3520-4889-bfa9-9467b7c063c9","resolution":{"observed_at":"2026-08-06T21:51:44.573303Z","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":"2026-08-06T21:51:44.113669Z","title":"Balla, O","venue":null,"work_id":"925ded13-a24f-474b-b20b-25b43a5a02f9","year":2024},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:29.040351Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:ec4326397e53c2edaa2d2cb3481c4f93480b331570895f7c1fa367c388f9188f","observation_id":"994639e8-e581-4afd-9e11-12d8271b970a","resolution":{"observed_at":"2026-08-06T21:51:44.277545Z","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":"2026-08-06T21:51:43.948167Z","title":null,"venue":null,"work_id":"6f5fcb80-b16e-40db-acc6-afa65c85a42e","year":1976},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:29.138314Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:d59cb3c16990a632987c65cb8b1fc451c4699e1ab94cc471aac7a99e4bdff346","observation_id":"33185b0f-dbbf-4e10-ba90-e57f0bf35a0c","resolution":{"observed_at":"2026-08-06T21:51:44.026230Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-06T21:51:43.520540Z","title":"Chazelle","venue":null,"work_id":"1ff728af-a295-4eb8-9b01-700599ba67c7","year":2000},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:29.206790Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:e1f3a6181ffd7b859ba47fc5d796fd323152e5fc001088ab9806d67edccd43a5","observation_id":"cdbd8e47-637f-4cd2-bbc5-7528d11cb8c2","resolution":{"observed_at":"2026-08-06T21:51:43.705287Z","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":"2026-08-06T21:51:43.131872Z","title":"Cheung, H","venue":null,"work_id":"b954c906-2fce-4047-9840-4c9bdc68c43f","year":2025},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:29.323112Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:8c42d43d9ed296bf6b8d8118287e0b62dc52fba1d665781ad4b40ca3faf6c686","observation_id":"f83a621a-5b64-4867-90ee-2524c37f221e","resolution":{"observed_at":"2026-08-06T21:51:43.274703Z","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":"2026-08-06T21:51:42.845261Z","title":"Cheung, H","venue":null,"work_id":"fd5966b5-583a-46d2-b58d-fd10514b97d7","year":2023},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:29.429158Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:21a37df0e5cfe2468f4bdfc49e5aa3a99ba05839ecae59f0b00776624b4f1e0c","observation_id":"2db80739-b4b8-43c9-9f23-5a196f6822d5","resolution":{"observed_at":"2026-08-06T21:51:42.945279Z","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":"2026-08-06T21:51:42.629449Z","title":"Chazelle and A","venue":null,"work_id":"cb8b5fd9-b476-4d8e-a646-69b7c6564623","year":2001},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:29.508928Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:12fe1d6136b34a4bd387374cdf8ce8685cfea176ca2286350b4faa3dd308612c","observation_id":"edcb2df5-4bba-4ada-81d8-7d0bb132f719","resolution":{"observed_at":"2026-08-06T21:51:42.731084Z","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":"2026-08-06T21:51:42.453597Z","title":"Chattopadhyay, S","venue":null,"work_id":"c98111bf-31d4-4a65-85e3-93bec79f9d84","year":2019},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:29.584772Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:d9fcaeafd5150de23dfe577789adb1b56bab98427882040ca47bc127f2b5e261","observation_id":"4ccbbc83-b3f3-412f-8f4d-f39243fab628","resolution":{"observed_at":"2026-08-06T21:51:42.552605Z","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":"2026-08-06T21:51:42.251671Z","title":null,"venue":null,"work_id":"dcb6f131-01ce-4e30-8fd4-7c709c3a58b0","year":1973},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:29.667667Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:91edd946d5b5cc334993c16b8679a11c1f68ab2ccc97d7d259d42694ec048453","observation_id":"25838231-c1f6-4281-bd2d-272c90aafa5b","resolution":{"observed_at":"2026-08-06T21:51:42.349127Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-06T21:51:42.127339Z","title":null,"venue":null,"work_id":"7170957f-1607-4512-b28c-cedf0c89249b","year":1974},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:29.781181Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:71abea17f2474552be3f9f47b1e7f12018bc6733ce28090d4b27d7b6c324559d","observation_id":"89fe02aa-233c-405e-99c6-8054a4a6c300","resolution":{"observed_at":"2026-08-06T21:51:42.165808Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-06T21:51:41.849796Z","title":"Erd o s, A","venue":null,"work_id":"f86efd17-2958-4949-b334-672cb3ceaefa","year":1997},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:29.907425Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:0d9c02f1656734cf41c8e9ecd9989a1b2be2cdbf639d26148d114d1a9f9927c3","observation_id":"91b07d89-d4f3-4553-bcc8-d59fd5bda551","resolution":{"observed_at":"2026-08-06T21:51:41.992901Z","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":"2026-08-06T21:51:41.611153Z","title":"Edmonds, A","venue":null,"work_id":"1118822f-82b4-476b-960c-5973b766f8ba","year":2020},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:30.002154Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:2f3d433e80ee770a4200dd661d03257fff80484d2d352084b2053cc0985dcb7d","observation_id":"5e032c27-6516-4fc7-84b2-5a40d0ecd65d","resolution":{"observed_at":"2026-08-06T21:51:41.719682Z","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":"2026-08-06T21:51:41.267046Z","title":null,"venue":null,"work_id":"4f36740d-7019-48d9-bfd9-2a743afaf8da","year":1977},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:30.116728Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:ee6f5357304626b8dcaca5a41b99f05f558333ae17b133a3e9689261ec725491","observation_id":"b4fc8fa7-2ed5-4040-bd6b-19c0d4dd289b","resolution":{"observed_at":"2026-08-06T21:51:41.443617Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-06T21:51:41.004470Z","title":"Fichtenberger, M","venue":null,"work_id":"10714e37-ee36-438f-bb07-52df2b86a137","year":2023},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:30.208257Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:25db154465a34a745ab525feb79f88353371da4c88ff6c6ffda5ef65eded5f6c","observation_id":"6068c134-c067-4320-805e-0d9afc5c44b1","resolution":{"observed_at":"2026-08-06T21:51:41.147818Z","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":"2026-08-06T21:51:40.703225Z","title":null,"venue":null,"work_id":"dbee3410-43ce-45fe-8572-59fedeeef16d","year":2019},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:30.308163Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:4983af866fa1a0b133470325c28f074e36328eb06adb129741265662cb7ef0a4","observation_id":"30705cb6-052a-45cf-8807-be1587d46c2f","resolution":{"observed_at":"2026-08-06T21:51:40.886260Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-06T21:51:40.389482Z","title":"Goh and H","venue":null,"work_id":"47e972a8-582f-4933-b9c2-51f376105c7b","year":2025},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:30.386454Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:9bc3fdf730fdbb5ae530fa1ec1167ddbd0ddf6f079e8c62a7771ca13632a9ce1","observation_id":"786389a5-c138-4a90-aa33-d07b472bb73d","resolution":{"observed_at":"2026-08-06T21:51:40.544345Z","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":"2026-08-06T21:51:40.058386Z","title":"Goh and H","venue":null,"work_id":"0b18b034-8752-4406-a03b-f3b71743f968","year":2025},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:30.489799Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:91fa0b052c5b15a170b87c3eb8daab22fc5534a5ed43ef86e1c539924653ff57","observation_id":"d684c385-70d6-4faf-a195-67b3097f823e","resolution":{"observed_at":"2026-08-06T21:51:40.223287Z","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":"2026-08-06T21:51:39.725573Z","title":"Glock, O","venue":null,"work_id":"d9b93d19-17d0-4b6d-9384-57cd925048e3","year":2023},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:30.611728Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:21e6b59c33578416ca9fcafcc981cd79c103109f332ab549337ba1293dc58f0b","observation_id":"a786fd61-d374-44cb-9c51-0c042b9c7736","resolution":{"observed_at":"2026-08-06T21:51:39.894421Z","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":"2026-08-06T21:51:39.372251Z","title":"Grothendieck","venue":null,"work_id":"be7f55bd-765c-4535-a6e7-427ce596fc88","year":1956},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:30.756516Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:2b96e4bcfa59595c5facfe1620f2dcac8f396a03ffdf88296a55557791969807","observation_id":"99fd4ce9-e35b-4dde-9d8f-bbc7b15abe22","resolution":{"observed_at":"2026-08-06T21:51:39.559948Z","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":"2026-08-06T21:51:39.103841Z","title":"Boolean functions with small spectral norm","venue":null,"work_id":"31ceaaa2-6571-4b59-a0f9-afe3701be5fb","year":2008},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:30.861862Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:70b68358f830c1f09ba517226d4e9ce6acd5c1f8fa2a09067da6c9ab8a7a0acf","observation_id":"663dc614-3838-4df6-a283-a73b7711ecdf","resolution":{"observed_at":"2026-08-06T21:51:39.230116Z","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":"2026-08-06T21:51:38.874369Z","title":"A quantitative version of the idempotent theorem in harmonic analysis","venue":null,"work_id":"b949b9bc-7de8-414d-9271-8ad3da3848b4","year":2008},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:30.965832Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:dc62163cfd20b85720a643c1a271fd5bb5f9d4b5ad22c4f67503abf3c02f6dc9","observation_id":"c516d7fd-64b3-4bd1-889c-001d42d91633","resolution":{"observed_at":"2026-08-06T21:51:38.981066Z","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":"2026-08-06T21:51:38.591297Z","title":null,"venue":null,"work_id":"8acb8e4a-0e67-4df4-a1bf-1498b1c2069d","year":1995},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:31.067358Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:ac685bfceb16cfcd8545ef70facb7f19101b0156be1315d8bd0e0f90453e33bc","observation_id":"2b60491a-8624-4db6-8d70-67e9aaa730fb","resolution":{"observed_at":"2026-08-06T21:51:38.747695Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-06T21:51:38.440482Z","title":"Hambardzumyan, H","venue":null,"work_id":"d2078cf8-988d-4b6a-8c0d-1656b2938153","year":2023},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:31.161441Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:749e9db85bceb05725dd50b7d50ad2a000f4940a687d97d32739b9518495fe24","observation_id":"fdc0c047-7ee1-4f14-8f53-55647cca0327","resolution":{"observed_at":"2026-08-06T21:51:38.508717Z","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":"2026-08-06T21:51:38.170074Z","title":"Hunter, A","venue":null,"work_id":"75f31628-6620-466f-820d-9448ba87e8fa","year":null},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:31.310850Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:51dae1c810c9f8a23d40fb881af04af04debe37ccf2976d8f3cfd5d9c44a52cf","observation_id":"65bce22c-b4da-4e67-a288-2a8ff4887080","resolution":{"observed_at":"2026-08-06T21:51:38.273580Z","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":"2411.13510","last_updated":"2024-11-20T18:04:54Z","snapshot_observed_at":"2026-07-06T19:53:17.024873Z","submitted_at":"2024-11-20T18:04:54Z","title":"Disjoint pairs in set systems and combinatorics of low rank matrices","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.13510","snapshot_observed_at":"2026-08-06T21:51:31.397675Z","title":"Hunter, A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:31.397675Z"},"links":{"cited_paper":"/paper/2411.13510","citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:d665ba2d5c273f5fab0ec9ff96ab85f5e802ab08a501e524cdbbaf6711d7d11f","observation_id":"bb1ac5bc-6612-436f-87a9-80bc29fb985a","resolution":{"observed_at":"2026-08-06T21:51:31.397675Z","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":"2026-08-06T21:51:37.881628Z","title":"Janzer and B","venue":null,"work_id":"0ff4c8b7-309f-4cea-af38-3d5c0ae73b3a","year":2023},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:31.520200Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:665adb215c1077e65a2ba5facf4fd27ca71e81b8664138cd3fc4166c9835554a","observation_id":"2f599a7f-5f30-4878-a0dc-5e4522925de1","resolution":{"observed_at":"2026-08-06T21:51:38.018307Z","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":"2026-08-06T21:51:37.709018Z","title":"Jiang, J","venue":null,"work_id":"15c0e60a-19a6-49e2-989b-88ed6cc12963","year":2021},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:31.606771Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:645f1b6ceb084a40859cad4be414b75a9cc2cec10ac29fb155c9aff534b0092d","observation_id":"ca7e0371-aef3-4799-ad8d-c499aab006a1","resolution":{"observed_at":"2026-08-06T21:51:37.778531Z","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":"2026-08-06T21:51:37.657360Z","title":null,"venue":null,"work_id":"05d5b5fb-9acd-4a57-9fcc-71079af21e2a","year":2021},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:31.692680Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:e0a1c50a8c1626b4f50324b9540b60244143abfd142ccea41e3087f542003f30","observation_id":"0a6e7efa-031a-4c6a-9a27-d476427687ff","resolution":{"observed_at":"2026-08-06T21:51:37.698627Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-06T21:51:37.445868Z","title":null,"venue":null,"work_id":"72c70e7f-d821-41b3-865f-1cb6630bac1a","year":2016},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:31.778578Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:25ac49e45ca26a7b169b706bfc66e33d8dc81060e720b70ba6d912fd610133ea","observation_id":"ebc9b828-b0b4-4177-91c5-d53fe093bbb2","resolution":{"observed_at":"2026-08-06T21:51:37.560990Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-06T21:51:37.222621Z","title":"Kwapie \\'n","venue":null,"work_id":"84217951-5067-4653-973b-59b44617a40d","year":1972},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:31.867135Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:c9b8093b98875791ef5a1c6ab40ad68d409ca48b0730c08bb24b4a5c40e742c9","observation_id":"0931f260-f9c6-495d-9f0b-2c501512154a","resolution":{"observed_at":"2026-08-06T21:51:37.333212Z","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":"2026-08-06T21:51:37.090290Z","title":null,"venue":null,"work_id":"41f13509-dca5-4af2-b1e9-68aa5e1087b5","year":2018},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:31.960836Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:d1285b4137ceb4bc620d741e279ee31b79a98a8ba319d855c842252b89360bdc","observation_id":"49d94e7f-436d-4c61-905d-4eaad22a9498","resolution":{"observed_at":"2026-08-06T21:51:37.143880Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-06T21:51:36.968327Z","title":null,"venue":null,"work_id":"5f77535b-799d-4a3f-a855-814d2aabc049","year":2016},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:32.055927Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:fdc53a44d1d150de3074666192b57bea72f4e120c1d9f02ee7b8d7e6f53e0c29","observation_id":"77a32710-9801-4e3a-913a-850e8a199988","resolution":{"observed_at":"2026-08-06T21:51:37.038306Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-06T21:51:36.672451Z","title":null,"venue":null,"work_id":"0fa2150c-595e-4e05-a1ee-5d0cf921b29a","year":1973},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:32.131980Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:5bc0ba9ad5d7dffbd4f2e4491ec2f7e0357be96ed24e3f161d6ddd26f84d3e0f","observation_id":"575a06f5-51f4-446d-9a31-a31cc6407334","resolution":{"observed_at":"2026-08-06T21:51:36.826702Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-06T21:51:36.385676Z","title":"Lov\\'asz and M","venue":null,"work_id":"dfe76639-3254-40de-a376-01e0487780d7","year":1988},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:32.232180Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:88b10af617908418289c01147c0bb63ba92deee21b3f8bf885100e176e97e63f","observation_id":"a0c22b82-869d-4d95-bccb-cd5e224fa7a0","resolution":{"observed_at":"2026-08-06T21:51:36.537100Z","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":"2026-08-06T21:51:36.179737Z","title":"Linial and A","venue":null,"work_id":"1bbdfce7-cd40-4910-9e65-dc8dd98a1fae","year":2009},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:32.325961Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:05061353b6597ce9ddffefa707842be001c1f5f01559f50764bdf798c65ddb8d","observation_id":"86b8cb5f-bad4-48ef-9131-ff48461d698d","resolution":{"observed_at":"2026-08-06T21:51:36.280880Z","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":"2026-08-06T21:51:35.984261Z","title":"Linial and A","venue":null,"work_id":"a5ce5bdc-8040-4f2b-9cf9-f928c99250d4","year":2009},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:32.396355Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:5c8a63e85046c240359ec0de5873014656ac5bc6496bb89e89addee3f24b8cf9","observation_id":"79e48e4b-fef4-438e-b5c2-51b84fc0ac24","resolution":{"observed_at":"2026-08-06T21:51:36.078948Z","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":"2026-08-06T21:51:35.824479Z","title":null,"venue":null,"work_id":"5d4438aa-1dd0-4722-8a35-4794d06fe212","year":2008},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:32.483595Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:cd6871d4108ab2ec0d2e42d11b5127a501f5b51bd3c6d13b950e159085265a86","observation_id":"bc198ba5-fcb1-481c-ad39-966749fb9269","resolution":{"observed_at":"2026-08-06T21:51:35.862599Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-06T21:51:35.634535Z","title":null,"venue":null,"work_id":"6b8ca426-af11-4cbe-b3ae-4ceaecc3a937","year":1974},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:32.576403Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:0edba35af3bcb504ef9978723a0754d2670815cc0606ff88440b914e35b78387","observation_id":"d709c836-a803-47b2-ab53-178f04282fbb","resolution":{"observed_at":"2026-08-06T21:51:35.717542Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-06T21:51:35.391066Z","title":"Muthukrishnan and A","venue":null,"work_id":"266707e4-d75d-4424-88c6-c30c6180e9af","year":2012},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:32.645283Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:eda7cab54e3648b735371096b52c498684bd2d006dd056d5fa22eaa41bd99f20","observation_id":"861b7f52-58d2-4541-9a5a-2af6de30f982","resolution":{"observed_at":"2026-08-06T21:51:35.500272Z","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":"2026-08-06T21:51:35.152861Z","title":"Matou s ek, A","venue":null,"work_id":"4697ea9b-b461-4b69-b827-b685103668d1","year":2020},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:32.721108Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:f57dc895f44cb4ea13990dbdcf7bd2f2b04c459a09143d19e981eac69e2205f7","observation_id":"39a84124-8224-42dc-838d-41af311bc30c","resolution":{"observed_at":"2026-08-06T21:51:35.263053Z","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":"2026-08-06T21:51:34.909585Z","title":"Nisan and A","venue":null,"work_id":"8d4cd28f-600a-4bad-926e-5f1ad7ded511","year":1995},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:32.813804Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:92a154703713298a6ec6872032cd6057c600a44c28ebd63e6163bec4537a4538","observation_id":"33f1eb33-1e6e-48fc-9e26-59417c74538b","resolution":{"observed_at":"2026-08-06T21:51:35.039449Z","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":"2311.02070","last_updated":"2023-11-20T12:55:00Z","snapshot_observed_at":"2026-07-06T16:42:48.073439Z","submitted_at":"2023-11-03T17:54:27Z","title":"Positive discrepancy, MaxCut, and eigenvalues of graphs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.02070","snapshot_observed_at":"2026-08-06T21:51:32.895968Z","title":"R\\\"aty, B","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:32.895968Z"},"links":{"cited_paper":"/paper/2311.02070","citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:50a54e2a29cbb67abc890469172c29ef7848191f6c1d3f1210c71751d2927b0a","observation_id":"166dc8cc-19d2-4aa9-9d80-4c8e041f81bd","resolution":{"observed_at":"2026-08-06T21:51:32.895968Z","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":"2026-08-06T21:51:34.549064Z","title":"R\\\"aty and I","venue":null,"work_id":"44f763f2-ccc4-4764-a8a1-fce9628aafe1","year":2025},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:32.979886Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:46ad493bc343e98da1a57d998be9d1cb1058c864b29fde1e74ab5c202a6a4f74","observation_id":"dc9d2a13-5bb5-447d-bc0e-c2d6deffd395","resolution":{"observed_at":"2026-08-06T21:51:34.773205Z","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":"2026-08-06T21:51:34.368978Z","title":"ankten bilinearformen mit unendlich vielen ver\\","venue":null,"work_id":"c0747e8a-e0cc-41b0-8040-d53773b890ad","year":1911},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:33.070267Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:ff9f559b47f6507ee53197833f41321fe99ab8e5e580696c7714821251e00d11","observation_id":"1b58e5b8-78db-4c55-b0d3-e8ae4d2fee09","resolution":{"observed_at":"2026-08-06T21:51:34.445824Z","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":"2026-08-06T21:51:34.087387Z","title":"Sudakov and I","venue":null,"work_id":"3de675e1-8c5a-4f26-800c-5308f64f157f","year":2024},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:33.180304Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:b2f9e69425986997d5f907d086946a4956ad635a6613254665ef79e59785ed8a","observation_id":"e290eae3-4297-4edb-9823-57cde5bd0104","resolution":{"observed_at":"2026-08-06T21:51:34.229046Z","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":"2026-08-06T21:51:33.708687Z","title":null,"venue":null,"work_id":"f5f8155e-2621-4cdb-afa7-8bf334c53318","year":2009},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:33.276265Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:62672a5f1d177220443a72b4210eda44ab87a188930969c1844819856188b547","observation_id":"fbd0c548-a2df-4415-a36c-86c1eb2f6042","resolution":{"observed_at":"2026-08-06T21:51:33.871821Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-06T21:51:33.569193Z","title":null,"venue":null,"work_id":"3ed265b0-1adb-4c1d-b28d-c7841e3aee11","year":1941},"citing_paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-08-06T21:51:33.339037Z"},"links":{"citing_paper":"/paper/2506.23989"},"observation_digest":"sha256:d18d3f4d332f370cf901d862d09fbfda6fd3bdb5be85e96727e2a5422680d7f3","observation_id":"08afa5ca-05d8-4e5e-89d6-c9ff2f5a8dec","resolution":{"observed_at":"2026-08-06T21:51:33.619054Z","resolver_source":"raw_fallback","status":"unresolved"},"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"}}],"paper":{"arxiv_id":"2506.23989","last_updated":"2025-06-30T15:54:45Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-06T21:24:25.908420Z","submitted_at":"2025-06-30T15:54:45Z","title":"Factorization norms and an inverse theorem for MaxCut"},"reference_resolution":{"displayed":52,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":21,"verified_exact":0,"verified_fuzzy":31},"total_outbound_references":52},"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 12 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 6 inbound Pith citation observations for arXiv:2506.23989."}