{"as_of":"2026-08-10T19:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1e1b0a6c1330029f93b99cae20022c3e21e55cb7c5b77cf362e16f5a0061e454","coverage":[{"denominator":21,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":21,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-31T16:05:55.949380Z","state":"measured"},{"denominator":21,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":21,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+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/2607.28157/citation-record","integrity":"/paper/2607.28157/integrity","json":"/paper/2607.28157/citation-record.json","paper":"/paper/2607.28157"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T16:05:54.546480Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.28157","last_updated":"2026-07-30T12:59:35Z","snapshot_observed_at":"2026-08-07T18:10:44.595509Z","submitted_at":"2026-07-30T12:59:35Z","title":"Derangement permutation matrices and orbit harmonics","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-31T16:05:54.546480Z"},"links":{"citing_paper":"/paper/2607.28157"},"observation_digest":"sha256:c8324561fd8ad990291db0afb3179c5d00a5de3de223958cbd8499b6974679b8","observation_id":"55422a1f-5fb3-4471-9074-30a938baaad4","resolution":{"observed_at":"2026-07-31T16:05:54.546480Z","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":"2026-07-31T16:05:54.601122Z","title":"Désarménien and M","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2607.28157","last_updated":"2026-07-30T12:59:35Z","snapshot_observed_at":"2026-08-07T18:10:44.595509Z","submitted_at":"2026-07-30T12:59:35Z","title":"Derangement permutation matrices and orbit harmonics","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-31T16:05:54.601122Z"},"links":{"citing_paper":"/paper/2607.28157"},"observation_digest":"sha256:6f523c6d66ddd222223016de20a4da64ced047cc5f4cc786679f6bfc647467e3","observation_id":"5a76a61c-e798-4b8f-9c37-12594221688c","resolution":{"observed_at":"2026-07-31T16:05:54.601122Z","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":"2026-07-31T16:05:54.696899Z","title":null,"venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2607.28157","last_updated":"2026-07-30T12:59:35Z","snapshot_observed_at":"2026-08-07T18:10:44.595509Z","submitted_at":"2026-07-30T12:59:35Z","title":"Derangement permutation matrices and orbit harmonics","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-31T16:05:54.696899Z"},"links":{"citing_paper":"/paper/2607.28157"},"observation_digest":"sha256:5a58c57d8fa64556a5db72669fe6bb43541337028fa276a1e410005b3e4ca73f","observation_id":"294e67af-6211-4a1b-8c6e-351fbcc92224","resolution":{"observed_at":"2026-07-31T16:05:54.696899Z","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":"2026-07-31T16:05:54.765459Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2607.28157","last_updated":"2026-07-30T12:59:35Z","snapshot_observed_at":"2026-08-07T18:10:44.595509Z","submitted_at":"2026-07-30T12:59:35Z","title":"Derangement permutation matrices and orbit harmonics","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-31T16:05:54.765459Z"},"links":{"citing_paper":"/paper/2607.28157"},"observation_digest":"sha256:e16c80f0f9eae2c7e05133956ba296482fdb80deb327f3db9a568f013bbc1fa1","observation_id":"1815f073-cf0c-457b-923b-f1229baea8fb","resolution":{"observed_at":"2026-07-31T16:05:54.765459Z","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":"2026-07-31T16:05:54.829272Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.28157","last_updated":"2026-07-30T12:59:35Z","snapshot_observed_at":"2026-08-07T18:10:44.595509Z","submitted_at":"2026-07-30T12:59:35Z","title":"Derangement permutation matrices and orbit harmonics","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-31T16:05:54.829272Z"},"links":{"citing_paper":"/paper/2607.28157"},"observation_digest":"sha256:cc2e16aa90e25e2b2feac1b75aedb786c1c2ede16f623b97460ffac04008bf4b","observation_id":"393e5efd-682a-4144-86e0-5842f54c9fd3","resolution":{"observed_at":"2026-07-31T16:05:54.829272Z","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":"2026-07-31T16:05:54.888884Z","title":"Haglund, B","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.28157","last_updated":"2026-07-30T12:59:35Z","snapshot_observed_at":"2026-08-07T18:10:44.595509Z","submitted_at":"2026-07-30T12:59:35Z","title":"Derangement permutation matrices and orbit harmonics","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-31T16:05:54.888884Z"},"links":{"citing_paper":"/paper/2607.28157"},"observation_digest":"sha256:64b68acc527007fb4192e2b555a7391368f5c9f8afc706e46267e98ac5a57039","observation_id":"ab4bb8dc-40e2-4d0c-ac4d-619f5993ea7d","resolution":{"observed_at":"2026-07-31T16:05:54.888884Z","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":"2026-07-31T16:05:54.960563Z","title":"Hammersley","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28157","last_updated":"2026-07-30T12:59:35Z","snapshot_observed_at":"2026-08-07T18:10:44.595509Z","submitted_at":"2026-07-30T12:59:35Z","title":"Derangement permutation matrices and orbit harmonics","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-31T16:05:54.960563Z"},"links":{"citing_paper":"/paper/2607.28157"},"observation_digest":"sha256:6b2b661afa48d5194947a4061e05e77ef99d6830d87da61ac199d4417da0c323","observation_id":"c4b54c07-1c89-43da-a848-a8c0e64987bb","resolution":{"observed_at":"2026-07-31T16:05:54.960563Z","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":"2026-07-31T16:05:55.015860Z","title":null,"venue":null,"work_id":null,"year":1963},"citing_paper":{"arxiv_id":"2607.28157","last_updated":"2026-07-30T12:59:35Z","snapshot_observed_at":"2026-08-07T18:10:44.595509Z","submitted_at":"2026-07-30T12:59:35Z","title":"Derangement permutation matrices and orbit harmonics","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-31T16:05:55.015860Z"},"links":{"citing_paper":"/paper/2607.28157"},"observation_digest":"sha256:b05e3c6e915cfefc9dc8cd7acfd5ad42cb81f211620a5be6bb726815a1d8c779","observation_id":"9d3d6279-44f6-4eb1-8c29-f4880392c2ff","resolution":{"observed_at":"2026-07-31T16:05:55.015860Z","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":"2026-07-31T16:05:55.101553Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28157","last_updated":"2026-07-30T12:59:35Z","snapshot_observed_at":"2026-08-07T18:10:44.595509Z","submitted_at":"2026-07-30T12:59:35Z","title":"Derangement permutation matrices and orbit harmonics","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-31T16:05:55.101553Z"},"links":{"citing_paper":"/paper/2607.28157"},"observation_digest":"sha256:c94bddb338030d75b9b29836e0d844e3e13e699fc98ddcfbca33df6b2b006f3e","observation_id":"2bc79631-615f-4fc5-b346-d7c0e2428542","resolution":{"observed_at":"2026-07-31T16:05:55.101553Z","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":"2026-07-31T16:05:55.163156Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28157","last_updated":"2026-07-30T12:59:35Z","snapshot_observed_at":"2026-08-07T18:10:44.595509Z","submitted_at":"2026-07-30T12:59:35Z","title":"Derangement permutation matrices and orbit harmonics","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-31T16:05:55.163156Z"},"links":{"citing_paper":"/paper/2607.28157"},"observation_digest":"sha256:71bc0398ddde30ac41ddb3beb8745cba61bc1089451ca3f17b43d6ea4a9e3fd1","observation_id":"d48987cb-2d92-4aa6-91ec-ee51cadf072b","resolution":{"observed_at":"2026-07-31T16:05:55.163156Z","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":"2026-07-31T16:05:55.222309Z","title":"Liu and H","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28157","last_updated":"2026-07-30T12:59:35Z","snapshot_observed_at":"2026-08-07T18:10:44.595509Z","submitted_at":"2026-07-30T12:59:35Z","title":"Derangement permutation matrices and orbit harmonics","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-31T16:05:55.222309Z"},"links":{"citing_paper":"/paper/2607.28157"},"observation_digest":"sha256:71f7521b10ed088d120d0c3f0880310425a1b50324ec764fff45f6133c800204","observation_id":"22c24220-7232-47b0-9b44-e5ad07bffd95","resolution":{"observed_at":"2026-07-31T16:05:55.222309Z","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":"2026-07-31T16:05:55.291465Z","title":"Oh and B","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28157","last_updated":"2026-07-30T12:59:35Z","snapshot_observed_at":"2026-08-07T18:10:44.595509Z","submitted_at":"2026-07-30T12:59:35Z","title":"Derangement permutation matrices and orbit harmonics","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-31T16:05:55.291465Z"},"links":{"citing_paper":"/paper/2607.28157"},"observation_digest":"sha256:416348e7e40b94cf5bb5c0d8c7d229a64e02ec25580ed7e92f2bf394ba599be6","observation_id":"0aba7bc6-27bf-4e2e-a8b1-d352749af865","resolution":{"observed_at":"2026-07-31T16:05:55.291465Z","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":"2026-07-31T16:05:55.346698Z","title":"Reineke, B","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.28157","last_updated":"2026-07-30T12:59:35Z","snapshot_observed_at":"2026-08-07T18:10:44.595509Z","submitted_at":"2026-07-30T12:59:35Z","title":"Derangement permutation matrices and orbit harmonics","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-31T16:05:55.346698Z"},"links":{"citing_paper":"/paper/2607.28157"},"observation_digest":"sha256:a9ef6e03c16bb20e99b549e0143f62e7c5d9ffeb0b65b1ad6f32d5270c007c75","observation_id":"fa93cf08-f39b-437e-9c48-865ab7b85274","resolution":{"observed_at":"2026-07-31T16:05:55.346698Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.06511","last_updated":"2024-09-24T00:10:16Z","snapshot_observed_at":"2026-07-06T18:43:26.425575Z","submitted_at":"2024-07-09T02:45:21Z","title":"Harmonics and graded Ehrhart theory","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.06511","snapshot_observed_at":"2026-07-31T16:05:55.423599Z","title":"Reiner and B","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28157","last_updated":"2026-07-30T12:59:35Z","snapshot_observed_at":"2026-08-07T18:10:44.595509Z","submitted_at":"2026-07-30T12:59:35Z","title":"Derangement permutation matrices and orbit harmonics","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-31T16:05:55.423599Z"},"links":{"cited_paper":"/paper/2407.06511","citing_paper":"/paper/2607.28157"},"observation_digest":"sha256:8d5f212ff74f5b0b8923ac83b98034c517b42e747cb0834a68212c511dc3eadb","observation_id":"352e0b8a-c5ec-48bc-92ea-bf60947257e8","resolution":{"observed_at":"2026-07-31T16:05:55.423599Z","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":"2026-07-31T16:05:55.531654Z","title":"Reiner and P","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.28157","last_updated":"2026-07-30T12:59:35Z","snapshot_observed_at":"2026-08-07T18:10:44.595509Z","submitted_at":"2026-07-30T12:59:35Z","title":"Derangement permutation matrices and orbit harmonics","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-31T16:05:55.531654Z"},"links":{"citing_paper":"/paper/2607.28157"},"observation_digest":"sha256:4e139b103381ebac45efd9707af773bf00df50d747d6317d241347f304c2e389","observation_id":"902149c2-28b3-40d1-9808-6656e1f06f16","resolution":{"observed_at":"2026-07-31T16:05:55.531654Z","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":"2026-07-31T16:05:55.605049Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.28157","last_updated":"2026-07-30T12:59:35Z","snapshot_observed_at":"2026-08-07T18:10:44.595509Z","submitted_at":"2026-07-30T12:59:35Z","title":"Derangement permutation matrices and orbit harmonics","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-31T16:05:55.605049Z"},"links":{"citing_paper":"/paper/2607.28157"},"observation_digest":"sha256:b6f3203e5663c654245c5d0d136bbf557f5000797c488555ffb02295c87c0fc3","observation_id":"c47246d5-c380-4975-8f81-1e2f656697ba","resolution":{"observed_at":"2026-07-31T16:05:55.605049Z","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":"2026-07-31T16:05:55.667864Z","title":"Sagan.The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions, 2nd ed., Graduate Texts in Mathematics, Vol","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.28157","last_updated":"2026-07-30T12:59:35Z","snapshot_observed_at":"2026-08-07T18:10:44.595509Z","submitted_at":"2026-07-30T12:59:35Z","title":"Derangement permutation matrices and orbit harmonics","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-31T16:05:55.667864Z"},"links":{"citing_paper":"/paper/2607.28157"},"observation_digest":"sha256:b7ea33167c35e11d44b2d56946e9e01330d459d43357a02ce09f716902914a40","observation_id":"ffc81523-d628-4c4b-92a7-0832905a3cb8","resolution":{"observed_at":"2026-07-31T16:05:55.667864Z","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":"2026-07-31T16:05:55.749600Z","title":"Schensted","venue":null,"work_id":null,"year":1961},"citing_paper":{"arxiv_id":"2607.28157","last_updated":"2026-07-30T12:59:35Z","snapshot_observed_at":"2026-08-07T18:10:44.595509Z","submitted_at":"2026-07-30T12:59:35Z","title":"Derangement permutation matrices and orbit harmonics","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-31T16:05:55.749600Z"},"links":{"citing_paper":"/paper/2607.28157"},"observation_digest":"sha256:1fb2f13af3b2d019f6966c214ec64bc5a1b568d5a3763e1c1c8000bda773ed9b","observation_id":"7d0c9698-869f-483d-a786-ac5a38c92367","resolution":{"observed_at":"2026-07-31T16:05:55.749600Z","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":"2026-07-31T16:05:55.814861Z","title":null,"venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2607.28157","last_updated":"2026-07-30T12:59:35Z","snapshot_observed_at":"2026-08-07T18:10:44.595509Z","submitted_at":"2026-07-30T12:59:35Z","title":"Derangement permutation matrices and orbit harmonics","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-31T16:05:55.814861Z"},"links":{"citing_paper":"/paper/2607.28157"},"observation_digest":"sha256:dbfead4d3ee4def56cf1ee3c8599b22c1d93909120b70a1b62877caa1626fa3b","observation_id":"7db2580c-7b47-4579-9c26-fcd76f1a9838","resolution":{"observed_at":"2026-07-31T16:05:55.814861Z","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":"2026-07-31T16:05:55.879143Z","title":"Weibel.An Introduction to Homological Algebra, Cambridge Studies in Advanced Mathematics 38, Cambridge University Press, 1994","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.28157","last_updated":"2026-07-30T12:59:35Z","snapshot_observed_at":"2026-08-07T18:10:44.595509Z","submitted_at":"2026-07-30T12:59:35Z","title":"Derangement permutation matrices and orbit harmonics","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-31T16:05:55.879143Z"},"links":{"citing_paper":"/paper/2607.28157"},"observation_digest":"sha256:3fda96281bd99be5aa87b048eade50780aaaac139465a5d1e5c94a53d938ef93","observation_id":"9c28a33a-a3ca-47ad-813f-6693a227707a","resolution":{"observed_at":"2026-07-31T16:05:55.879143Z","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":"2026-07-31T16:05:55.949380Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28157","last_updated":"2026-07-30T12:59:35Z","snapshot_observed_at":"2026-08-07T18:10:44.595509Z","submitted_at":"2026-07-30T12:59:35Z","title":"Derangement permutation matrices and orbit harmonics","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-31T16:05:55.949380Z"},"links":{"citing_paper":"/paper/2607.28157"},"observation_digest":"sha256:4891d9856e5245517ec1e679cd469575e210cb68eb6a8ada1359efe1b0169d2b","observation_id":"dc6ca92d-cd46-419a-aaa4-3e30d04a9048","resolution":{"observed_at":"2026-07-31T16:05:55.949380Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.28157","last_updated":"2026-07-30T12:59:35Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-07T18:10:44.595509Z","submitted_at":"2026-07-30T12:59:35Z","title":"Derangement permutation matrices and orbit harmonics"},"reference_resolution":{"displayed":21,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":21,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":21},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2607.28157."}