{"as_of":"2026-08-10T20:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:451950aa2e1806015ecfa7ce9571ef83f58904ff848060002eacdd64e52a6006","coverage":[{"denominator":69,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":69,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T23:21:08.826037Z","state":"measured"},{"denominator":70,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":70,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T02:32:55.934123Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.18520","snapshot_observed_at":"2026-08-02T02:32:55.934123Z","title":"Albion,Character factorisations,z-asymmetric partitions and plethysm, arXiv:2501.18520, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.14362","last_updated":"2026-07-15T20:54:09Z","snapshot_observed_at":"2026-08-10T17:11:34.210925Z","submitted_at":"2026-07-15T20:54:09Z","title":"Measures and generalizations of dual Littlewood identities","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-02T02:32:55.934123Z"},"links":{"cited_paper":"/paper/2501.18520","citing_paper":"/paper/2607.14362"},"observation_digest":"sha256:9ff16e65ce0f50c7931c8ff25a8fde3524bd879c2d7664c54baf51fb35d301c0","observation_id":"39d82113-6f7f-423f-bf81-2fabc2fdc3a5","resolution":{"observed_at":"2026-08-02T02:32:55.934123Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2501.18520/citation-record","integrity":"/paper/2501.18520/integrity","json":"/paper/2501.18520/citation-record.json","paper":"/paper/2501.18520"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.690135Z","title":null,"venue":null,"work_id":"a71fa503-748f-4836-8ed8-e225d71a2694","year":2022},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.579832Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:a2855e681bf1735922215741df0e6e9691406b34cfa869a5b1d9dc65056d5b06","observation_id":"b54ff947-f447-4588-b77b-86745e71e977","resolution":{"observed_at":"2026-08-09T23:21:24.694299Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.678677Z","title":null,"venue":null,"work_id":"62bc198a-9fb5-4a6b-a239-61b9eb33a70e","year":2023},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.584270Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:69c4509e78bec2989766a619e9fb1df9fc5a6422be3a91ca9fabecc978bf8dad","observation_id":"331d09a4-36b7-48e7-a4aa-ab80c47c13bf","resolution":{"observed_at":"2026-08-09T23:21:24.682599Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.667689Z","title":"Ayyer and N","venue":null,"work_id":"32161d84-f8b4-4a78-9f8d-b414f04057f0","year":2022},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.588080Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:5d71d7a7e0363d25c8cc066e135d22c670471ba6b03181ee9884a2bbd6b94ae8","observation_id":"b4a536c7-ec63-40ea-a7f0-efcef57f456a","resolution":{"observed_at":"2026-08-09T23:21:24.671384Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2501.00275","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:23.931426Z","title":"Ayyer and N","venue":null,"work_id":"652790e7-5f9f-48d0-86af-7f959b78f6ce","year":null},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.592145Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:2c97339966eac05244536637df9ef92bd17ccadefd588ca8035638bad33972fa","observation_id":"64e3e4d6-2c48-4f7c-8710-095c67388399","resolution":{"observed_at":"2026-08-09T23:21:23.937558Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.656106Z","title":"Baik and E","venue":null,"work_id":"5520cab1-16a3-4342-9be7-9c408b6cab3b","year":2001},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.596362Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:1da3d5553d3653e8bd3a0a1061e0f747efc3ff50f7bd33a3b84955e9ec6b8577","observation_id":"75367762-e15d-48a1-9e4d-4d9c7e21c6c0","resolution":{"observed_at":"2026-08-09T23:21:24.660241Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.644643Z","title":"Brauer, On a conjecture of Nakayama , Trans","venue":null,"work_id":"1431d3c7-8206-4903-9521-edc97f0acb5b","year":1947},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.600005Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:704567c753538c70a00c8e14d16799ca56708d0fea57e865e58c4f3dddc697b4","observation_id":"7be735eb-d4c7-4972-af5e-acf5f939e66c","resolution":{"observed_at":"2026-08-09T23:21:24.648735Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.633492Z","title":null,"venue":null,"work_id":"391be304-0470-4f9f-b80e-acabb3724eae","year":1992},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.603995Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:469a8f344b0d501031dbb31fdc7f120dafa11bd4daa4d422b9c47ec674efdf60","observation_id":"9960adca-4487-4d3a-aff2-b02e35514bd5","resolution":{"observed_at":"2026-08-09T23:21:24.637152Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1911.12098","last_updated":"2019-11-27T11:59:15Z","snapshot_observed_at":"2026-08-10T08:16:15.167214Z","submitted_at":"2019-11-27T11:59:15Z","title":"Cores and quotients of partitions through the Frobenius symbol","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1911.12098","snapshot_observed_at":"2026-08-09T23:21:08.607779Z","title":"Brunat and R","venue":null,"work_id":null,"year":1911},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.607779Z"},"links":{"cited_paper":"/paper/1911.12098","citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:0c92ce8ff5952af0e1b7bef9a8c3a485a195b084e0dc666fd2c5d3013147af3d","observation_id":"d40732ff-9c1e-448c-b7c3-ba432ab46b3e","resolution":{"observed_at":"2026-08-09T23:21:08.607779Z","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":"2026-08-09T23:21:24.620662Z","title":null,"venue":null,"work_id":"2c902123-aa03-44b9-8324-40cd975d2714","year":1984},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.611687Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:1e25399243f81e02a57fe85fa9eb6cf0a59881bc333490d91cf8b796717ce603","observation_id":"8788bd46-f057-49ba-8b38-1680dad65512","resolution":{"observed_at":"2026-08-09T23:21:24.624372Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.609915Z","title":"Evseev, R","venue":null,"work_id":"7d63c9eb-c38b-40f1-a00a-048cab479c7d","year":2014},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.615375Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:f66efb724a04094d1b64a9955813bb20137df5f5eaf883ebc376f9bdd1b514cd","observation_id":"bce7191e-ed14-4937-a889-fbd13e40167b","resolution":{"observed_at":"2026-08-09T23:21:24.613796Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.599000Z","title":"Farahat, On p-quotients and star diagrams of the symmetric group , Proc","venue":null,"work_id":"0ee50cd6-1b8b-44df-b91c-cc007c9b5463","year":1953},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.618957Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:76f75bfa901832e137e99c0d50f0e4894cd8a4e65ac34c06cadb5064debc35ca","observation_id":"5d2c16e4-d5c4-4d3a-b283-498dbd68904f","resolution":{"observed_at":"2026-08-09T23:21:24.602949Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.587206Z","title":"Farahat, On the representations of the symmetric group , Proc","venue":null,"work_id":"dd9a9f94-a27d-4fba-a5dc-85884ae53c8d","year":1954},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.622545Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:7d91cea125e465732d702488418d6bbb477b81079e8060f96329027bee96df05","observation_id":"492f5ab1-c3d4-4819-8127-d2b56818ae9a","resolution":{"observed_at":"2026-08-09T23:21:24.590967Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.576077Z","title":"Farahat, On Schur functions , Proc","venue":null,"work_id":"ee43d79a-bb30-4746-9fb5-f43f5b023ae6","year":1958},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.626014Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:08f955a0e309800721fe93804f7af3dc8106bbf67f6160b4db01b16bd9bb2984","observation_id":"419f9517-efd9-48ee-b236-fb223571877e","resolution":{"observed_at":"2026-08-09T23:21:24.579962Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.565123Z","title":"Garvan, D","venue":null,"work_id":"87e6bc56-4e08-423f-9333-c0a9f9066cf1","year":1990},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.630128Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:3dc1a2ba45a9f4b8fc6c8b97819e493acdafc3cda35e49e63067032b4eaf9db3","observation_id":"f862818c-e213-4ed5-9be5-c572b7103042","resolution":{"observed_at":"2026-08-09T23:21:24.569211Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.554216Z","title":"Gessel and X","venue":null,"work_id":"a409cac2-87cf-4153-a10e-f9d2d9cafe75","year":1989},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.633922Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:1a001d2d9c5d4a18a5d2e4a6f71a2e6b48b75107cb0e820003d6a7a3590e7157","observation_id":"0aee78ad-5cb3-4aa4-be55-47942bb5dc4b","resolution":{"observed_at":"2026-08-09T23:21:24.558117Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.541996Z","title":"Goulden, Directed graphs and the Jacobi–Trudi identity , Can","venue":null,"work_id":"a85b4f62-95cd-4c0c-bd04-d4b9b9a99c65","year":1985},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.637873Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:a89c6dbb3fe47138bd7a89f0f86c330014fe9d2793d555634d5adbbbce45382f","observation_id":"c52babb4-8b35-4943-918a-7e68eead1976","resolution":{"observed_at":"2026-08-09T23:21:24.545990Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.530320Z","title":"Grinberg, Petrie symmetric functions , Algebr","venue":null,"work_id":"22f1b658-8e0a-4988-a202-8a2c65e678d0","year":2022},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.641352Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:57d2dffdb9057ff704648937999ff214ff5d6e4c6c10226d55e8185755f9e22a","observation_id":"22fbd486-b755-4931-a19c-221ff68587ba","resolution":{"observed_at":"2026-08-09T23:21:24.534415Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1409.8356","last_updated":"2020-07-28T17:30:28Z","snapshot_observed_at":"2026-07-06T03:55:57.965897Z","submitted_at":"2014-09-30T00:38:48Z","title":"Hopf Algebras in Combinatorics","version":7},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1409.8356","snapshot_observed_at":"2026-08-09T23:21:08.644628Z","title":"Grinberg and V","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.644628Z"},"links":{"cited_paper":"/paper/1409.8356","citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:668bdbf3363bdcdb59446618d523255b113b1b8ab4e0bfdc83d02bd04ba3b24d","observation_id":"0bb0d05e-c2f1-4c69-bd03-32121306cf90","resolution":{"observed_at":"2026-08-09T23:21:08.644628Z","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":"2026-08-09T23:21:24.518997Z","title":"Hamel and R","venue":null,"work_id":"6a9ab033-e175-45f1-838b-344b942fcad3","year":2011},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.648586Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:3338f3f7f04ed9b1d2ac470cb0affee0b6667d7672ad3fdac4bdac1fd2496d4f","observation_id":"bc371f05-fd64-4fc0-8970-7ceae6ecade5","resolution":{"observed_at":"2026-08-09T23:21:24.522960Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.508340Z","title":"Hamel and R","venue":null,"work_id":"bbc19bbb-2b3c-4458-aaac-fae5d2e508bf","year":2011},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.652349Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:4fd597a322b4837857b5b971cfa59fc5204e6bde58a8ce941573be1449e21d75","observation_id":"bc5b2c47-094e-4340-b2d6-79d92f2fbc2f","resolution":{"observed_at":"2026-08-09T23:21:24.511991Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.497627Z","title":null,"venue":null,"work_id":"1cd2fa3a-b879-4b8d-9c4e-183b0c00e1a1","year":1986},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.655991Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:33139d58c25ba4c23400afcedde4bcbfe3cded0374275578cae5020b02e14995","observation_id":"7783a5e2-f42f-4f38-9295-ebe28740f09b","resolution":{"observed_at":"2026-08-09T23:21:24.501327Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.486886Z","title":"James and A","venue":null,"work_id":"18de903e-e5a3-4a7c-8fe2-f4156e19e357","year":1981},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.659513Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:963406d034d2903ae4ff2072a25369a838a97b570f9433c8a12129c181850c6d","observation_id":"c3c34c19-55aa-4055-99b4-9da932c25081","resolution":{"observed_at":"2026-08-09T23:21:24.490525Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.475322Z","title":"Kerber, F","venue":null,"work_id":"42032aa6-62bf-4781-b501-f21a665f3aa1","year":1981},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.663242Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:faf176abd37b0406c939b0bf64516ca849fd67d58a1cc0beed65b454c186eca5","observation_id":"77256bb1-2e18-4848-b7ea-8a3003bae2ac","resolution":{"observed_at":"2026-08-09T23:21:24.479438Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.464305Z","title":null,"venue":null,"work_id":"967fe01b-19ae-40ac-8cbf-944f2cc3b0c6","year":1971},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.666952Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:9d6aa333e8f58d09aa677f083e93da3a63282176de849d525c7f98748c5d090d","observation_id":"a84c4c38-57ab-4eb4-ad2f-1c69cdfa61d2","resolution":{"observed_at":"2026-08-09T23:21:24.468241Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.451478Z","title":"Koike, On the decomposition of tensor products of the representati ons of the classical groups: By means of the universal characters , Adv","venue":null,"work_id":"edf03a5d-ed77-4a09-8aaf-9a39f609f187","year":1989},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.670466Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:fed236bdd1e6debd16b35e38d48fbe958273d5e49754b3bd5b9da76df548166e","observation_id":"ab8720a6-ce44-4a5a-8ffc-d68173e9ed51","resolution":{"observed_at":"2026-08-09T23:21:24.455579Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.439962Z","title":"Koike, Representations of spinor groups and the diﬀerence charact ers of SO(2n), Adv","venue":null,"work_id":"8b5624c4-16e1-4358-8cef-cad443d15309","year":1997},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.673999Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:ae99a6e4e30ddeb4ffdfbfd77e505417ca8755c4b583ad099e1052714d0c4ce9","observation_id":"826480cb-84c8-4b40-bb86-eb8192e52d96","resolution":{"observed_at":"2026-08-09T23:21:24.443977Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.428872Z","title":"Koike and I","venue":null,"work_id":"edba72c7-de05-4a93-92be-04b68e2212a2","year":1987},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.677390Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:c44b7eb05bf157313d974b834a77e28e9e0af7ad7f5134eb2280b8e2841cbd67","observation_id":"2adf49e3-7090-401f-b5a3-4f0e90691924","resolution":{"observed_at":"2026-08-09T23:21:24.432774Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.417485Z","title":"Koike and I","venue":null,"work_id":"d8492c27-5eb3-4f82-bb61-7b443726687f","year":1990},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.681125Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:67ade32b61aac1a6defcaadc93fbd639879242282894a0d53e9afd36f0b6b2c8","observation_id":"74cf244c-889f-401a-84f1-dae0060df2da","resolution":{"observed_at":"2026-08-09T23:21:24.421502Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.10289","last_updated":"2023-06-17T08:21:31Z","snapshot_observed_at":"2026-08-10T08:17:17.282203Z","submitted_at":"2023-06-17T08:21:31Z","title":"Flagged Skew Schur Polynomials Twisted By Roots Of Unity","version":1},"cited_work":{"arxiv_id":"2306.10289","doi":null,"metadata_source":"pith","pith_arxiv_id":"2306.10289","snapshot_observed_at":"2026-08-09T23:21:08.856351Z","title":"Flagged Skew Schur Polynomials Twisted By Roots Of Unity","venue":"math.CO","work_id":"4c1c0cc2-036b-4228-870a-495f0d1cd24a","year":2023},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.684604Z"},"links":{"cited_paper":"/paper/2306.10289","citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:069399dba03ab83b530114275a7d0429a2ead004697ac2150d42c9a5c21d68d1","observation_id":"56b50cdb-7579-48d4-83a7-1b4c54eb2ace","resolution":{"observed_at":"2026-08-09T23:21:08.862720Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.405598Z","title":"Kumari, Factorization of classical characters twisted by roots of uni ty: II , J","venue":null,"work_id":"80d38d50-0b27-4fb9-a05e-8205fd9450c3","year":null},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.688652Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:d34c561e9ae1739ca1a9d240acb542aef525f0c29c0a384758a504fe00c767c8","observation_id":"49e824e1-04cc-462e-8b2a-0b70d1490c32","resolution":{"observed_at":"2026-08-09T23:21:24.409691Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.394934Z","title":"Lascoux, B","venue":null,"work_id":"6455f4da-4387-4063-8342-56bba8db38e2","year":1997},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.692270Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:20130b5c4706d58e3f936c0b61989d9abff3b8af69cecca7884eacde4b4e343d","observation_id":"fef402cd-a9ad-40c9-a6f7-e71e5ad727d8","resolution":{"observed_at":"2026-08-09T23:21:24.398647Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.383570Z","title":"Lecouvey, Parabolic Kazhdan–Lusztig polynomials, plethysm and gene ralized Hall– Littlewood functions for classical types , European J","venue":null,"work_id":"932ca937-249f-4b17-9dd4-c7fba45fdcbb","year":2009},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.695753Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:e52562fe42c4678fb6a5144b330d35b03f98c5573b8d4d23670b954010259d3e","observation_id":"0d1df918-5642-497d-bf10-f3b7af71b837","resolution":{"observed_at":"2026-08-09T23:21:24.387819Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.372192Z","title":"Lecouvey, Stabilized plethysms for the classical Lie groups , J","venue":null,"work_id":"48fbae40-9e16-4191-abcd-2f48e0a733d7","year":2009},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.699314Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:9b6bda44ee8bf357c7b5eb8d6b24236d81ae9555260c8ac303bdb96a09f3452a","observation_id":"66343b69-b48b-4845-a98f-e6c5e60f340d","resolution":{"observed_at":"2026-08-09T23:21:24.376362Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.360998Z","title":null,"venue":null,"work_id":"a8643443-b053-4607-b996-15a1a50f6344","year":1935},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.702894Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:bbf819721abf9a9b0766e46d12fb6831ad8e305b864f60af7a167cdd05c7cfcc","observation_id":"a328e3e4-5154-41f1-b7e7-eaddcd4ed730","resolution":{"observed_at":"2026-08-09T23:21:24.364784Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.349398Z","title":null,"venue":null,"work_id":"e1726f18-cd85-4691-9bd4-34de420a8db6","year":1936},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.706476Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:b5e93f067d209a0ba4d2f35813eff01b65f5c93b8b15a7375b9421e9e4687d7b","observation_id":"16050dbf-3c4e-4b55-b3f3-24b2b8883d4d","resolution":{"observed_at":"2026-08-09T23:21:24.353219Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.338449Z","title":null,"venue":null,"work_id":"86cb357b-4f9b-4bf9-81a3-2f22cc7a5cd1","year":1940},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.710123Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:c08a9a85eb1fccff749eb531fb13e18b71e790d98bea5a8ce0e9f8196bd8c62a","observation_id":"ddb2d3b0-ae4d-43a1-b84e-0a4baeb3e625","resolution":{"observed_at":"2026-08-09T23:21:24.342159Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.327174Z","title":null,"venue":null,"work_id":"2b32b7f5-3257-4d92-8870-4ee77eeb43da","year":1944},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.713618Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:9482dff8e040914a5681762ae2d9cbd88318d7af83569bb98c908c390764135d","observation_id":"922ab3d9-3e92-41d0-89a9-ca4203e2efa4","resolution":{"observed_at":"2026-08-09T23:21:24.331072Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.315201Z","title":null,"venue":null,"work_id":"7898bfa1-dc3d-4e68-98c6-b6e84af1e648","year":1951},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.716998Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:e7897dbd25240c4f7066341981bce9de708fffe852ab8981686e9cdaba048583","observation_id":"ad0e981d-f4f6-4f4f-bc35-a3f743d454eb","resolution":{"observed_at":"2026-08-09T23:21:24.319496Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.304216Z","title":null,"venue":null,"work_id":"19008d81-4387-401b-b03e-f82daa1b1363","year":1958},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.720289Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:8449a5e2442568a47800111e50afe88ae620e2237d8d45974669bbed2570c2d9","observation_id":"771aa86b-76a3-493e-9c99-b69a0d51d71e","resolution":{"observed_at":"2026-08-09T23:21:24.307933Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.293107Z","title":null,"venue":null,"work_id":"3a84523e-2a4f-4f3e-8bd0-cb81ab4162c0","year":1934},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.723717Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:f24cce6ff991bdf1e382b57d3adef1a10ad2f4eda6b4eeec25aed11173a2ed8f","observation_id":"c0dffd82-2fa4-4759-81e1-44044baa704f","resolution":{"observed_at":"2026-08-09T23:21:24.297283Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.281457Z","title":null,"venue":null,"work_id":"d30795b0-ad6e-445b-9165-bef7dec248f5","year":1934},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.727395Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:9c408e1ab6d10ac12cd9b81fcd5bf52701e24a425b25dd81c494f96a92577343","observation_id":"218e9f32-04b6-42f8-8746-c4c26f6c4685","resolution":{"observed_at":"2026-08-09T23:21:24.285492Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.270464Z","title":null,"venue":null,"work_id":"ac106c71-38ba-4c49-ae27-e8cec837c5f7","year":1935},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.730890Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:20c00dbe9d73c71d50152bab65203ff66b26367b1f400ca2fd8b2348b3825f59","observation_id":"685a4d45-c16b-4630-af0a-f142cdf80e30","resolution":{"observed_at":"2026-08-09T23:21:24.274321Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.258909Z","title":"Lübeck and D","venue":null,"work_id":"6163082b-ded2-4811-814e-020440347f82","year":2021},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.734229Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:d665d82a2916bde6cb75e018ecf3653518b8403209c8d86d89b07a2883663e23","observation_id":"e242a229-ab4f-4293-a652-b7360cb3586c","resolution":{"observed_at":"2026-08-09T23:21:24.262851Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.246721Z","title":null,"venue":null,"work_id":"983494b1-c045-44f3-bba3-4cd21248030d","year":1995},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.737894Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:7c4f977b46c0e142e77a1c6983a3d4dc1176f7f12afc027ba754991e79184d52","observation_id":"f49a43a1-d70a-4bf7-86f6-98c2b76a9aca","resolution":{"observed_at":"2026-08-09T23:21:24.251544Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.235485Z","title":"Mizukawa, Factorization of Schur’s Q-functions and plethysm , Ann","venue":null,"work_id":"3a8c3c73-1e22-41a4-8ea3-b3ec704cadb4","year":2002},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.741718Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:acbdd3504804ba3077a47953ccedbe6d8033093263b27c7328b3fac366d6b812","observation_id":"92a45231-a8f6-4ae5-826d-d185b21b9346","resolution":{"observed_at":"2026-08-09T23:21:24.239558Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.222402Z","title":"Mizukawa, Factorization of Schur functions of various types , J","venue":null,"work_id":"9f7df4cf-c5ce-434c-bcc8-22b2880fe93e","year":2003},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.745215Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:74becaf415a67ebae6cafda7ba8c2e8795a85d6767e9a7709a4563a79f7c133f","observation_id":"13fbc18e-5b2f-48b4-8930-0e8039bd942e","resolution":{"observed_at":"2026-08-09T23:21:24.226859Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.209434Z","title":null,"venue":null,"work_id":"f8a0a510-66df-4793-93b6-4697d4f5c97c","year":1965},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.748544Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:543ff974c5ce35f18239a2843234b2a3678af452b361da39c6c126e9e579b289","observation_id":"ba62302d-eb00-4f1e-ae07-5f21b323cd60","resolution":{"observed_at":"2026-08-09T23:21:24.214816Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.197143Z","title":"Nakayama, On some modular properties of irreducible representations of a symmetric group, I, Jpn","venue":null,"work_id":"49459c7c-4667-438c-b949-d36656d95219","year":1940},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.752103Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:a5e17c581dc52e53b241cc39fdf9dc35c6c0b668366b4b5ed4324fe25a669c1e","observation_id":"8bd013d4-1cfb-4f57-8c60-2b06039b46aa","resolution":{"observed_at":"2026-08-09T23:21:24.202019Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.185808Z","title":"Nakayama, On some modular properties of irreducible representations of a symmetric group II, Jpn","venue":null,"work_id":"cfb3b8a8-e9ee-4710-bdf4-1d872ce06179","year":1940},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.755457Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:ada59f3bb3d0375f69510a303a50378be78b1c4c71335c8550c09debcbff0794","observation_id":"f0c6a22e-3c8b-4dd2-9092-cfa2260f2cac","resolution":{"observed_at":"2026-08-09T23:21:24.189867Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.174932Z","title":"Nakayama and M","venue":null,"work_id":"eabf5369-6dbd-470f-9bfa-af9979c683b2","year":1951},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.758891Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:317c92a168c55215249beaf7053fb099a0036fd8a8938d27f4402a050fbb787d","observation_id":"5ede72d6-3ca8-46ff-b361-99db12ba43c8","resolution":{"observed_at":"2026-08-09T23:21:24.178654Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.163156Z","title":null,"venue":null,"work_id":"8f0dfa1f-a5d1-4ae8-aaa1-c4c778e9963f","year":1987},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.762104Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:0cd7246c5249ed35227418fe063a3940b0221a84efc72746cadffe2136e7261a","observation_id":"0fde722a-afd7-4f63-aff2-45ac86b2776e","resolution":{"observed_at":"2026-08-09T23:21:24.167064Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.151715Z","title":"Osima, On the irreducible representations of the symmetric group , Canad","venue":null,"work_id":"b3cf5dc7-204b-42ab-882b-89e6c961dff3","year":1952},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.765720Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:aee28d1ac10c7d02ccd7495340a5f6a9f02ad78645cd62c78d3a263b2ed1e943","observation_id":"4894ee57-5019-472d-b1d3-cf032c900bef","resolution":{"observed_at":"2026-08-09T23:21:24.155838Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.140533Z","title":"Pak, Ribbon tile invariants , Trans","venue":null,"work_id":"4608e93e-6be1-4eab-8136-0f01a874288a","year":2000},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.769061Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:333b893b1bcc356880ab0a6929dd97c1d931e50b42e17028a21776450b8dfb8e","observation_id":"9ac5305f-4771-4ae3-be7c-5531a5675482","resolution":{"observed_at":"2026-08-09T23:21:24.144494Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.129111Z","title":"Pfannerer, A reﬁnement of the Murnaghan–Nakayama rule by descents for bor der strip tableaux, Comb","venue":null,"work_id":"296b9601-8f47-4557-88f9-6d16210bb985","year":2022},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.772434Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:881f087f3d6a11140cfb1674b873fc9b60a71a8c59aabf8df2c1b0b4de3e80c9","observation_id":"59ac6f5d-b153-436e-b625-5976bf0e8985","resolution":{"observed_at":"2026-08-09T23:21:24.133308Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.117822Z","title":"Reiner, D","venue":null,"work_id":"14486be7-aa10-4bb7-9940-889220c10447","year":2004},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.776026Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:63193c15e259c5d90918d07f6ce7b0a18aff826f28c4850e32ebb03652b433ec","observation_id":"4ea0513d-32e9-4d8c-8af6-1b2bdee0443a","resolution":{"observed_at":"2026-08-09T23:21:24.121746Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.105868Z","title":null,"venue":null,"work_id":"e0098c43-0d9e-4d68-8b41-fe05e60bbee1","year":1998},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.779524Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:31907da2b8e22c8eed77a8fb70357ef647c0ec47e68f7a6ef93c8998067a634e","observation_id":"c4ef0dbb-45ef-426d-83a4-0bd70af82eb8","resolution":{"observed_at":"2026-08-09T23:21:24.110281Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.093961Z","title":"Rhoades, Cyclic sieving, promotion, and representation theory , J","venue":null,"work_id":"b7957f70-6994-4480-bf40-569f33260842","year":2010},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.783066Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:fbf9122f3966174e47d7bc106935306d62fb67c19ce01a640b7ca02534f95013","observation_id":"5f47c917-ea64-4603-8507-13b1fa954c49","resolution":{"observed_at":"2026-08-09T23:21:24.098425Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.082527Z","title":"Rhoades, Plethysm and a character embedding problem of Miller , C","venue":null,"work_id":"ef9762dc-d744-4bfc-aa01-dbbddb2d4ff0","year":2022},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.786757Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:35ec0538bdba1b922cb9a64019810f2f515e33132aa35e9bbcddc4176cb2be1f","observation_id":"f9cb6e8c-607e-4c93-930b-3760cb062ef8","resolution":{"observed_at":"2026-08-09T23:21:24.086676Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.070899Z","title":null,"venue":null,"work_id":"3f9faf6e-710a-44eb-9f46-3cc20eaa9a5e","year":1947},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.790323Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:a2032783a1946ad146f7f4d508a2a8ac43d3955528e1ccf8abb0e71fc8451f71","observation_id":"66676e60-f72c-4db9-93bc-d258da471272","resolution":{"observed_at":"2026-08-09T23:21:24.075183Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.059229Z","title":null,"venue":null,"work_id":"9d2e3606-8f4f-4ccc-afe2-0ee004a97ef6","year":1948},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.794024Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:7a73645cf48cbfe3f1aa7bd8e4f8d98a3d85bf7afe97bf4a2a7063a7b0278746","observation_id":"926b84e1-f89a-43e2-81f3-fbb8a71ec284","resolution":{"observed_at":"2026-08-09T23:21:24.063437Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.047810Z","title":"Scharf and J.-Y","venue":null,"work_id":"f63e0b5f-6525-429a-8f04-f662d8371d95","year":1994},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.797599Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:946660b90b29d89a60fbac7318956a9a31e0ec2d3c295cfbe3be60f7a088e024","observation_id":"d75a87ec-799a-4616-9f3c-424684647db3","resolution":{"observed_at":"2026-08-09T23:21:24.051882Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.036098Z","title":null,"venue":null,"work_id":"8cff4964-b0ff-4597-8c61-cb75a50d1aa2","year":1950},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.801121Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:2c204e871789954bc01d92a040c4750a4a7808cef9522ee959422ee102f7b2ba","observation_id":"2409b2e7-57c3-4b36-ad73-bf5f6492c1ec","resolution":{"observed_at":"2026-08-09T23:21:24.040210Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.023800Z","title":null,"venue":null,"work_id":"09d6a9ef-0c01-45c2-bab8-08c0ad9febc0","year":1999},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.804572Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:a674873aafe864b2df2467823f927b0570cfeb993092140b2f7e88f3b70f359d","observation_id":"48d93933-2db0-407a-aa74-e89e8dfe6e00","resolution":{"observed_at":"2026-08-09T23:21:24.028160Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:24.010886Z","title":"Stanton and D","venue":null,"work_id":"cc816587-0a0c-4964-860c-83e620f438c7","year":1985},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.808120Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:171fe72601396b1613a9d488b2d1b79eefce2726b9f4b438fba0162f6d44c153","observation_id":"9390b10e-e9b2-44c9-841f-21e50e4cd7f3","resolution":{"observed_at":"2026-08-09T23:21:24.015476Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:23.998631Z","title":null,"venue":null,"work_id":"69b13651-1896-462f-a3a8-1a5e465e8145","year":1987},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.811525Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:3d1c9db6f487559e6388c8b1dbd54cc95685db6b521716d812ac3eacd6c6d858","observation_id":"7a19cdaf-7b30-41fe-aabf-75decbbe4b98","resolution":{"observed_at":"2026-08-09T23:21:24.002882Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:23.986552Z","title":null,"venue":null,"work_id":"ca09f7f7-b4eb-4dca-be1a-0516b8c0387e","year":1989},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.815036Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:091de0ad83cb24e77daeab2d20e4ae939e6d48652856403aec3c5a5960af5845","observation_id":"047c9900-d09e-4036-81f3-71da78cc9fcd","resolution":{"observed_at":"2026-08-09T23:21:23.990665Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:23.973811Z","title":"Weyl, The Classical Groups: Their Invariants and Representations , Princeton University Press, Princeton, N.J., 1939","venue":null,"work_id":"bd83ed7c-5cf8-4fd1-a88d-be127cc38632","year":1939},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.818467Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:7911f9394ee69ccf5d04351114f3bed726f552ed7bfa803e3f7a7746245906f7","observation_id":"e7823cdf-964c-48c8-b360-3c53b3e1a751","resolution":{"observed_at":"2026-08-09T23:21:23.978386Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:23.960442Z","title":"Wildon, A generalized SXP rule proved by bijections and involutions , Ann","venue":null,"work_id":"68ab6d4a-8c37-4534-88fa-1dfe59069fe6","year":2018},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.822527Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:a4098b23d35e7154d8fbc2f3fec45813e617d7c9c0afe4c467045e2a0dfead33","observation_id":"9a886458-1f73-4326-9236-8ea4ead072c7","resolution":{"observed_at":"2026-08-09T23:21:23.964853Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:23.946023Z","title":"A character relationship between symm etric group and hyperoctahedral group","venue":null,"work_id":"37ce9f8c-1113-4c6a-bc6b-814e8a9be6f2","year":2021},"citing_paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:08.826037Z"},"links":{"citing_paper":"/paper/2501.18520"},"observation_digest":"sha256:d3609488851cbd2d1bbb94713b4b4a62300dde99aa85a2c9bd7d1276909856df","observation_id":"7efe1fe1-7900-4569-8b32-0f42f4584453","resolution":{"observed_at":"2026-08-09T23:21:23.952153Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.18520","last_updated":"2025-01-30T17:34:26Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-10T08:16:41.550715Z","submitted_at":"2025-01-30T17:34:26Z","title":"Character factorisations, $z$-asymmetric partitions and plethysm"},"reference_resolution":{"displayed":69,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":27,"verified_exact":2,"verified_fuzzy":40},"total_outbound_references":69},"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 69 of 69 outbound references and 1 inbound Pith citation observation for arXiv:2501.18520."}