{"as_of":"2026-08-11T17:28:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ecd876fd6ace6c64d35a86bf8566057d8d72c4377451f23ea6fc28ef2a864d91","coverage":[{"denominator":17,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":17,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T09:34:35.006467Z","state":"measured"},{"denominator":17,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":17,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+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/2607.20765/citation-record","integrity":"/paper/2607.20765/integrity","json":"/paper/2607.20765/citation-record.json","paper":"/paper/2607.20765"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2411.18897","last_updated":"2025-08-30T20:48:09Z","snapshot_observed_at":"2026-07-06T19:58:22.387205Z","submitted_at":"2024-11-28T04:12:50Z","title":"A database of constructions of Hadamard matrices","version":2},"cited_work":{"arxiv_id":"2411.18897","doi":"10.48550/arxiv.2411.18897","metadata_source":"pith","pith_arxiv_id":"2411.18897","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"A database of constructions of Hadamard matrices","venue":"math.CO","work_id":"56936740-1709-4da7-a278-b84f9df497df","year":2024},"citing_paper":{"arxiv_id":"2607.20765","last_updated":"2026-07-22T22:31:56Z","snapshot_observed_at":"2026-08-05T00:11:47.622384Z","submitted_at":"2026-07-22T22:31:56Z","title":"Multiplier obstructions for Legendre pairs of length 333","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T09:34:33.008121Z"},"links":{"cited_paper":"/paper/2411.18897","citing_paper":"/paper/2607.20765"},"observation_digest":"sha256:3aa3579f6ceb15d5903f15c964689fa918187a4098e45165cfebc0725a7484b0","observation_id":"93df303d-f078-49af-bcfd-ca15fd46b6fa","resolution":{"observed_at":"2026-08-01T09:39:31.941640Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1302.0571","last_updated":"2013-02-04T02:18:05Z","snapshot_observed_at":"2026-07-06T03:05:33.620914Z","submitted_at":"2013-02-04T02:18:05Z","title":"Compression of Periodic Complementary Sequences and Applications","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1302.0571","snapshot_observed_at":"2026-08-01T09:34:33.125626Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.20765","last_updated":"2026-07-22T22:31:56Z","snapshot_observed_at":"2026-08-05T00:11:47.622384Z","submitted_at":"2026-07-22T22:31:56Z","title":"Multiplier obstructions for Legendre pairs of length 333","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T09:34:33.125626Z"},"links":{"cited_paper":"/paper/1302.0571","citing_paper":"/paper/2607.20765"},"observation_digest":"sha256:e7e26ced7db1940d1ebdc37f91c4818a099cb78d9afa5665fc7bc2e995f0620a","observation_id":"69577f04-f211-467f-aa8e-c27e036b5c49","resolution":{"observed_at":"2026-08-01T09:34:33.125626Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T09:34:33.217419Z","title":"Eliahou,A 64-modular Hadamard matrix of order 668, Australasian Journal of Combinatorics93(2025), no","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.20765","last_updated":"2026-07-22T22:31:56Z","snapshot_observed_at":"2026-08-05T00:11:47.622384Z","submitted_at":"2026-07-22T22:31:56Z","title":"Multiplier obstructions for Legendre pairs of length 333","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T09:34:33.217419Z"},"links":{"citing_paper":"/paper/2607.20765"},"observation_digest":"sha256:9a598b5f66ae380251384377fa40088ca21d1435ff1ffccd34355da63e9cda17","observation_id":"61fa7e08-8a0d-4d89-b06b-08457fe13dfb","resolution":{"observed_at":"2026-08-01T09:34:33.217419Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T09:34:33.331231Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.20765","last_updated":"2026-07-22T22:31:56Z","snapshot_observed_at":"2026-08-05T00:11:47.622384Z","submitted_at":"2026-07-22T22:31:56Z","title":"Multiplier obstructions for Legendre pairs of length 333","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T09:34:33.331231Z"},"links":{"citing_paper":"/paper/2607.20765"},"observation_digest":"sha256:02869789cc1e03b0f0e85ca4a1e3db111e2b0a732f1e439b16a6e47e26d13017","observation_id":"3baf4260-c8ac-4bbc-8845-22358e279e39","resolution":{"observed_at":"2026-08-01T09:34:33.331231Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T09:34:33.413048Z","title":"Georgiou and C","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2607.20765","last_updated":"2026-07-22T22:31:56Z","snapshot_observed_at":"2026-08-05T00:11:47.622384Z","submitted_at":"2026-07-22T22:31:56Z","title":"Multiplier obstructions for Legendre pairs of length 333","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T09:34:33.413048Z"},"links":{"citing_paper":"/paper/2607.20765"},"observation_digest":"sha256:b084c1b22c098320c1660007304ff7a6353e4d58827ddc63f9d254cb364bc007","observation_id":"49054923-cf56-4614-8807-a4c90667fb8f","resolution":{"observed_at":"2026-08-01T09:34:33.413048Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T09:34:33.483507Z","title":"Hadamard,Résolution d’une question relative aux déterminants, Bulletin des Sciences Mathématiques17(1893), 240–246","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.20765","last_updated":"2026-07-22T22:31:56Z","snapshot_observed_at":"2026-08-05T00:11:47.622384Z","submitted_at":"2026-07-22T22:31:56Z","title":"Multiplier obstructions for Legendre pairs of length 333","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T09:34:33.483507Z"},"links":{"citing_paper":"/paper/2607.20765"},"observation_digest":"sha256:fea3f5ee4372a14c2ecc7b2c2922430e0c3e7e90d91695b28952f13c0f5de91d","observation_id":"69067f12-d1e2-4451-959b-0ef549d70896","resolution":{"observed_at":"2026-08-01T09:34:33.483507Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T09:34:33.551588Z","title":"Kharaghani and B","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.20765","last_updated":"2026-07-22T22:31:56Z","snapshot_observed_at":"2026-08-05T00:11:47.622384Z","submitted_at":"2026-07-22T22:31:56Z","title":"Multiplier obstructions for Legendre pairs of length 333","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T09:34:33.551588Z"},"links":{"citing_paper":"/paper/2607.20765"},"observation_digest":"sha256:f3c70a2a6a97b0d1b5967353e99a8a368772162f39897198ca6ae9cbdfbbbf0a","observation_id":"5f65a604-de44-48b8-b0f6-3c8a0197a944","resolution":{"observed_at":"2026-08-01T09:34:33.551588Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T09:34:33.716830Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.20765","last_updated":"2026-07-22T22:31:56Z","snapshot_observed_at":"2026-08-05T00:11:47.622384Z","submitted_at":"2026-07-22T22:31:56Z","title":"Multiplier obstructions for Legendre pairs of length 333","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T09:34:33.716830Z"},"links":{"citing_paper":"/paper/2607.20765"},"observation_digest":"sha256:0c1b754007705725dd84656422e3a6441780750e60df3d0eedf83aa1ca6c0772","observation_id":"a76878fc-3eb2-4876-b4e0-ef513471a664","resolution":{"observed_at":"2026-08-01T09:34:33.716830Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2101.03116","last_updated":"2021-10-16T23:17:53Z","snapshot_observed_at":"2026-07-06T10:31:02.555556Z","submitted_at":"2021-01-08T17:16:05Z","title":"Legendre pairs of lengths $\\ell \\equiv 0$ (mod $3$)","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2101.03116","snapshot_observed_at":"2026-08-01T09:34:33.852848Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.20765","last_updated":"2026-07-22T22:31:56Z","snapshot_observed_at":"2026-08-05T00:11:47.622384Z","submitted_at":"2026-07-22T22:31:56Z","title":"Multiplier obstructions for Legendre pairs of length 333","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T09:34:33.852848Z"},"links":{"cited_paper":"/paper/2101.03116","citing_paper":"/paper/2607.20765"},"observation_digest":"sha256:916000f858c103ee7500c9ab25d64668e751e55e98a197c4c6391ec4c05907f9","observation_id":"4eb47a31-1549-4c3b-acc3-b3c71e642a4a","resolution":{"observed_at":"2026-08-01T09:34:33.852848Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.16318","last_updated":"2025-03-27T10:30:16Z","snapshot_observed_at":"2026-07-06T19:07:28.779905Z","submitted_at":"2024-08-29T07:37:15Z","title":"Quaternary Legendre pairs II","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.16318","snapshot_observed_at":"2026-08-01T09:34:33.995400Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.20765","last_updated":"2026-07-22T22:31:56Z","snapshot_observed_at":"2026-08-05T00:11:47.622384Z","submitted_at":"2026-07-22T22:31:56Z","title":"Multiplier obstructions for Legendre pairs of length 333","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T09:34:33.995400Z"},"links":{"cited_paper":"/paper/2408.16318","citing_paper":"/paper/2607.20765"},"observation_digest":"sha256:2c1709011087edb0ba41e750313c697034c3c2e0572a5a2f3ca686ff19d01ec1","observation_id":"be3ac6b3-d1b2-4e3d-a329-dadb27876879","resolution":{"observed_at":"2026-08-01T09:34:33.995400Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.02105","last_updated":"2024-04-08T21:44:10Z","snapshot_observed_at":"2026-07-06T12:04:57.395375Z","submitted_at":"2021-11-03T09:53:47Z","title":"Legendre pairs of lengths $\\ell\\equiv0$ (mod 5)","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.02105","snapshot_observed_at":"2026-08-01T09:34:34.173794Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.20765","last_updated":"2026-07-22T22:31:56Z","snapshot_observed_at":"2026-08-05T00:11:47.622384Z","submitted_at":"2026-07-22T22:31:56Z","title":"Multiplier obstructions for Legendre pairs of length 333","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T09:34:34.173794Z"},"links":{"cited_paper":"/paper/2111.02105","citing_paper":"/paper/2607.20765"},"observation_digest":"sha256:cc631cdd4a8354e012e64561432dbd9260e63d792cfc2e6bad8ff5d50f4bbdfb","observation_id":"ca5d1b12-a5be-4589-8386-c0c0470d204c","resolution":{"observed_at":"2026-08-01T09:34:34.173794Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T09:34:34.382243Z","title":"Koukouvinos, J","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.20765","last_updated":"2026-07-22T22:31:56Z","snapshot_observed_at":"2026-08-05T00:11:47.622384Z","submitted_at":"2026-07-22T22:31:56Z","title":"Multiplier obstructions for Legendre pairs of length 333","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T09:34:34.382243Z"},"links":{"citing_paper":"/paper/2607.20765"},"observation_digest":"sha256:80fa78bd5640d39cb8c52da0468c7563e14f2159e94affd6b82f8d30a370ccf5","observation_id":"efb7d4d0-22ff-477b-97ea-bb9342b26486","resolution":{"observed_at":"2026-08-01T09:34:34.382243Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T09:34:34.563819Z","title":null,"venue":null,"work_id":null,"year":1933},"citing_paper":{"arxiv_id":"2607.20765","last_updated":"2026-07-22T22:31:56Z","snapshot_observed_at":"2026-08-05T00:11:47.622384Z","submitted_at":"2026-07-22T22:31:56Z","title":"Multiplier obstructions for Legendre pairs of length 333","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T09:34:34.563819Z"},"links":{"citing_paper":"/paper/2607.20765"},"observation_digest":"sha256:4c32f98f08a60f39364e09f59756067b9d885db2667614a372bec5a965ce78a2","observation_id":"3abdc2aa-d505-44aa-98af-b1722ae3bec9","resolution":{"observed_at":"2026-08-01T09:34:34.563819Z","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":"10.5281/zenodo.21498698","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T09:39:31.741167Z","title":"Ramos,Multiplier obstructions for Legendre pairs of length 333, Zenodo (2026), doi:10.5281/zenodo.21498698","venue":null,"work_id":"91d94ce7-52c4-4d06-9d29-43cf04b76adf","year":2026},"citing_paper":{"arxiv_id":"2607.20765","last_updated":"2026-07-22T22:31:56Z","snapshot_observed_at":"2026-08-05T00:11:47.622384Z","submitted_at":"2026-07-22T22:31:56Z","title":"Multiplier obstructions for Legendre pairs of length 333","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T09:34:34.696225Z"},"links":{"citing_paper":"/paper/2607.20765"},"observation_digest":"sha256:c1573ef580bd317fa5225af003e9f169e02a0de478158a8dee3fb8a86203c925","observation_id":"5c52adaf-5768-404e-8e51-799ab4f48e39","resolution":{"observed_at":"2026-08-01T09:39:31.832668Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2101.10918","last_updated":"2021-01-26T16:37:40Z","snapshot_observed_at":"2026-07-06T10:35:46.332938Z","submitted_at":"2021-01-26T16:37:40Z","title":"Legendre pair of length $77$ using complementary binary matrices with fixed marginals","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2101.10918","snapshot_observed_at":"2026-08-01T09:34:34.796088Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.20765","last_updated":"2026-07-22T22:31:56Z","snapshot_observed_at":"2026-08-05T00:11:47.622384Z","submitted_at":"2026-07-22T22:31:56Z","title":"Multiplier obstructions for Legendre pairs of length 333","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T09:34:34.796088Z"},"links":{"cited_paper":"/paper/2101.10918","citing_paper":"/paper/2607.20765"},"observation_digest":"sha256:d3e8be8e2e8c5ab088737ac4beb1910ee935e4d123803b94450c003d589e85c0","observation_id":"1f4cf0ba-f24c-4474-9903-2f4b18482b68","resolution":{"observed_at":"2026-08-01T09:34:34.796088Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T09:34:34.913192Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.20765","last_updated":"2026-07-22T22:31:56Z","snapshot_observed_at":"2026-08-05T00:11:47.622384Z","submitted_at":"2026-07-22T22:31:56Z","title":"Multiplier obstructions for Legendre pairs of length 333","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T09:34:34.913192Z"},"links":{"citing_paper":"/paper/2607.20765"},"observation_digest":"sha256:55e9d740b62aa8213ca828f2e08ebe2e01eeda4f9bd48936a0e4499e4699b538","observation_id":"f536c4f1-0f4d-441f-958b-b1ca4ceddce8","resolution":{"observed_at":"2026-08-01T09:34:34.913192Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T09:34:35.006467Z","title":"Wetzler, M","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.20765","last_updated":"2026-07-22T22:31:56Z","snapshot_observed_at":"2026-08-05T00:11:47.622384Z","submitted_at":"2026-07-22T22:31:56Z","title":"Multiplier obstructions for Legendre pairs of length 333","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T09:34:35.006467Z"},"links":{"citing_paper":"/paper/2607.20765"},"observation_digest":"sha256:d2b5c7fee894dc41611f7487abebdcccfd34ea1eaacae2dc3a12e3f41f5f370d","observation_id":"cd1feed3-ecf6-4d34-a84e-dab5cd1d3bbc","resolution":{"observed_at":"2026-08-01T09:34:35.006467Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.20765","last_updated":"2026-07-22T22:31:56Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-05T00:11:47.622384Z","submitted_at":"2026-07-22T22:31:56Z","title":"Multiplier obstructions for Legendre pairs of length 333"},"reference_resolution":{"displayed":17,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":15,"verified_exact":2,"verified_fuzzy":0},"total_outbound_references":17},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2607.20765."}