{"as_of":"2026-08-20T21:04:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f45b89505990a4970b9d83d90f9634502e41d519065e88b562387b028d9b3df3","coverage":[{"denominator":35,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":35,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-18T14:59:57.552206Z","state":"measured"},{"denominator":35,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":35,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2509.18625/citation-record","integrity":"/paper/2509.18625/integrity","json":"/paper/2509.18625/citation-record.json","paper":"/paper/2509.18625"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"b7a7ac96-daaf-4df4-a71c-c776769fad69","year":2015},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:77d6a9bcfddcc4f3ac58035cd8ec6dfdacf33aa34154288f6eae930b21b57f83","observation_id":"b500d09a-3766-4452-8cb9-25a520f47ba1","resolution":{"observed_at":"2026-05-18T15:01:32.481874Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"d439ac0d-a244-4a02-b48d-6e1f0c53c55d","year":2022},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:a7da4e756d367e2b47b4c3f045cb041c0158cabc0ca3df475fc72dbbc7405ac5","observation_id":"61df761d-d7c7-4a91-9392-1cda6a368a33","resolution":{"observed_at":"2026-05-18T15:01:32.488958Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":"05, 3641--3662","venue":null,"work_id":"b9e6fb81-50bc-43c4-ab8c-916e1ca3a3ea","year":2023},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:f880df3bd747905da2148bf511e1d4dc84a799889d378038db92625151d04333","observation_id":"5b81ff9d-e63e-43bc-b601-6e91a41705cb","resolution":{"observed_at":"2026-05-18T15:01:32.469268Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":"Theory 5 (2025), no","venue":null,"work_id":"56fbba65-25b9-4de7-93db-6cf1d9091a2a","year":2025},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:9b3a3f7754b87a91b2c42105cd02b72f64b82e8693d4d98e7e0f7a851da3d145","observation_id":"742c0c63-bffc-4768-af16-0bfe2cebae9c","resolution":{"observed_at":"2026-05-18T15:01:32.463222Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.06036","last_updated":"2025-06-06T12:34:57Z","snapshot_observed_at":"2026-08-18T13:30:58.935171Z","submitted_at":"2025-06-06T12:34:57Z","title":"Path operators and $(q,t)$-tau functions","version":1},"cited_work":{"arxiv_id":"2506.06036","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.06036","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"700319c3-a41d-48f8-8bee-8509f5a3ca3f","year":2025},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"cited_paper":"/paper/2506.06036","citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:7787671e4f6439a0876a79b06fb91f721e44c6ee79e5efa6ae076e649876654b","observation_id":"8abb0c37-6a22-4985-9c38-69b1febaff7b","resolution":{"observed_at":"2026-05-18T15:01:31.422650Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2305.07966","last_updated":"2023-05-13T17:00:02Z","snapshot_observed_at":"2026-08-20T09:50:56.662046Z","submitted_at":"2023-05-13T17:00:02Z","title":"Positive formula for Jack polynomials, Jack characters and proof of Lassalle's conjecture","version":1},"cited_work":{"arxiv_id":"2305.07966","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2305.07966","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Ghosh, S","venue":null,"work_id":"5cfdef73-b9af-4460-8b6e-a2e3ab64ac13","year":2023},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"cited_paper":"/paper/2305.07966","citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:1b12ff2388329739a82472ec9468f56362bce560c76dd009d4d4bb9999165eb2","observation_id":"293983cc-21c9-4c29-8aff-8f4290c2b8ad","resolution":{"observed_at":"2026-05-18T15:01:31.434152Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.03904","last_updated":"2026-05-15T17:54:18Z","snapshot_observed_at":"2026-08-19T19:23:56.397445Z","submitted_at":"2024-04-05T05:57:24Z","title":"Macdonald characters from a new formula for Macdonald polynomials","version":2},"cited_work":{"arxiv_id":"2404.03904","doi":null,"metadata_source":"pith","pith_arxiv_id":"2404.03904","snapshot_observed_at":"2026-07-03T21:49:00.111007Z","title":"Macdonald characters from a new formula for Macdonald polynomials","venue":"math.CO","work_id":"cc18ec78-397a-48a3-9f30-17604c37d6d9","year":2024},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"cited_paper":"/paper/2404.03904","citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:f0258de056f96a4aeec470b4dc2bdd11dda093e80143d55a0b7bf1fa996ea6a9","observation_id":"a517d02c-3964-4e46-8cf4-989f54499b76","resolution":{"observed_at":"2026-05-20T00:01:32.060759Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":"3, 363--420","venue":null,"work_id":"5c9422d5-bd54-4d6c-9dc0-ad0f406a5b37","year":1999},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:ae0bb9ee7fd954e6177ea5d21a41297c8e84972a5d2657414040299097da5b66","observation_id":"311834c9-cc5a-42b1-bced-400869c6400e","resolution":{"observed_at":"2026-05-18T15:01:32.466431Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2303.00560","last_updated":"2024-07-09T16:28:24Z","snapshot_observed_at":"2026-08-19T20:35:38.567102Z","submitted_at":"2023-03-01T15:04:17Z","title":"The super nabla operator","version":2},"cited_work":{"arxiv_id":"2303.00560","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2303.00560","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"8a6512c3-8c98-46c6-b0c3-8b8977de0a56","year":2023},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"cited_paper":"/paper/2303.00560","citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:29ef2499a821af7a7e223edd28d7e1d28a8210c33a849f3f855876cf1784bda4","observation_id":"6441d290-7a7f-4a1e-b2b2-6a354755d552","resolution":{"observed_at":"2026-05-18T15:01:31.439309Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":"Seelinger, A proof of the extended delta conjecture, Forum Math","venue":null,"work_id":"c46e3565-6df7-4cfc-8b5f-7537005426a9","year":2023},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:164dcf997528967f78f0b97c264cd59bd6ff04a85393528c62f99bc200517854","observation_id":"93321e4f-8460-4b0e-82d5-52d254ee0572","resolution":{"observed_at":"2026-05-18T15:01:32.475290Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"9739e8f8-4f07-484f-ad84-64ad7cbfec95","year":2022},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:4192ca7e8025860ea155eabcfde58e71a605e09e8d7a8542a7a3838beb2d4315","observation_id":"ef0de582-6432-4a8e-b516-fa6b1bf44e7f","resolution":{"observed_at":"2026-05-18T15:01:32.459970Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2304.04089","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Universality of global asymptotics of Jack-deformed random Young diagrams at varying temperatures","venue":null,"work_id":"a5de60f7-145c-4fb0-a2a9-47a78b3e39d7","year":2023},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:e657f91d6f85aa61cf9e5b8c1caa97cae4e81e2d470ec2ccbb3331a597c748b0","observation_id":"82771091-a871-4b85-83ae-1fc5c93d26cb","resolution":{"observed_at":"2026-05-18T15:01:31.444563Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"35fb9c26-dc8f-4cf4-b985-a53c1adc07ec","year":2018},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:56818d61e02d45fa514ce540446de71bd865fdc2f64d67f868fc24018cc2021a","observation_id":"9e989ae7-78d3-4a76-8eaf-3266c8eb3918","resolution":{"observed_at":"2026-05-18T15:01:32.478674Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"b704eff0-1945-4f40-9001-d7e9622bd3c5","year":2002},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:9345a88ba6018508e37013865644eb647ce1da72aca397e054d2e987c97b123f","observation_id":"4edd9d7c-2843-4a54-84b7-995e4d69c845","resolution":{"observed_at":"2026-05-18T15:01:32.472063Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"8e34ca2e-ce90-4be5-930c-1a0fbe7b932c","year":2016},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:d2e72936d6e7521fbb405cf4d02005ae194e41d1c2dbf8a986e5dea7d0ee648b","observation_id":"85fe6681-8cdd-43eb-bb13-fc019b713c40","resolution":{"observed_at":"2026-05-18T15:01:32.484995Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"e60e2d5d-70ad-4cf8-84df-19d339c6b693","year":2022},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:c755171dceb2463657b95a384f167ed0f23610287019e0029bca49e34d67c84a","observation_id":"7f7e73b6-8858-4698-8aeb-dcf833f22bcb","resolution":{"observed_at":"2026-05-18T15:01:32.448927Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"f1cebc23-ab32-4af4-bf85-9c69a63e9384","year":2010},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:0e73187761da8c0da900ae89fdb49ff100fcb5ea8ae15a8f14409c2e453dfd50","observation_id":"16939fe7-de95-4911-9cd3-23a7ebfa2f9b","resolution":{"observed_at":"2026-05-18T15:01:32.455850Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":"253--297","venue":null,"work_id":"66e49a16-06b5-45b1-82e6-55b3d72781e4","year":2001},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:64a7cae217d364648d00dcc84afb1f90c06f14311ef8c861534a256acbeef2da","observation_id":"ec05f6da-07f8-41af-847c-6cda0d263335","resolution":{"observed_at":"2026-05-18T15:01:32.431173Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"1ce3b348-c3b7-4fde-9ed5-facf42d2a212","year":1996},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:c73d794b214918323fb21efec5cf22232c69ab6c3473bc0931b95c2f3f93f8c4","observation_id":"ee67128d-4286-48c5-8718-d179bd74ee62","resolution":{"observed_at":"2026-05-18T15:01:32.434291Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1409.8356","last_updated":"2020-07-28T17:30:28Z","snapshot_observed_at":"2026-08-18T13:23:57.851001Z","submitted_at":"2014-09-30T00:38:48Z","title":"Hopf Algebras in Combinatorics","version":7},"cited_work":{"arxiv_id":"1409.8356","doi":null,"metadata_source":"pith","pith_arxiv_id":"1409.8356","snapshot_observed_at":"2026-07-10T16:27:21.800765Z","title":"Grinberg and V","venue":"math.CO","work_id":"ba236bbb-1330-4dc8-911f-fcbd7f2b8114","year":2014},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"cited_paper":"/paper/1409.8356","citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:f7287d9f89fce2c045bc985dc7e00f92e5e8dc6f52fe16d81749c88b1f38032c","observation_id":"7652ebd0-542e-475a-a2f4-0fd45ea62f8e","resolution":{"observed_at":"2026-05-18T15:01:31.417443Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":"41, American Mathematical Society, Providence, RI, 2008, With an appendix on the combinatorics of Macdonald polynomials","venue":null,"work_id":"e91c6782-27c3-4a68-82c5-2a30cb8f7f04","year":2008},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:9dd46dbd264ea1ca5b90b5ec63d6a4b47a388ebb342971e5c68d4cb28a53298c","observation_id":"02ed4cc8-a8ba-4f49-9979-fce224c6b390","resolution":{"observed_at":"2026-05-18T15:01:32.437986Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"56590be8-9277-4871-be64-6ef0746e8009","year":2001},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:855505a39357d0b72697c45af93d6ac0bd3c6e5a15a33a229fe77e3de79683d9","observation_id":"510176d5-167a-45f4-bf28-a5a9c1e06d05","resolution":{"observed_at":"2026-05-18T15:01:32.441745Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"e1044a69-7cd3-4634-964c-e1e831cea7de","year":1970},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:3232eb39a011cc87293e2fe846abe1caa84778c9b1d23e7a932e84c8a90a27a9","observation_id":"4dd73af7-9b91-441f-98a7-dba9e93e7944","resolution":{"observed_at":"2026-05-18T15:01:32.398022Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"b5d23e4b-c47a-47bc-9cc8-9c810a62f575","year":1996},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:5099fbd8d5e5355163e4175586f8a61d8444030d261c9a624fc68dbcb7490ca2","observation_id":"5bece9c8-0484-4b38-978e-4f0a8cfee69e","resolution":{"observed_at":"2026-05-18T15:01:32.424707Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"0fc8989b-bdb9-4d49-b1c3-c9b320f67ed5","year":1997},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:3791bdbbbf75e9787e5ecc8042a47a8f88c1d98884dae471ef4ba49cf1c190fd","observation_id":"f74b0ec7-dcbc-46d6-a31b-f85caf8d1fae","resolution":{"observed_at":"2026-05-18T15:01:32.410973Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"6302370e-f5a7-4870-894f-6dc1d07b6e2d","year":2016},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:df3de2717424a87acef43ca88977d516d9f7513b3827bd76c1c6b34ce50506a4","observation_id":"86b8eed0-1e8c-4424-b4b8-7eeab50d7e19","resolution":{"observed_at":"2026-05-18T15:01:32.421467Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"cd0e078f-8481-4271-810c-88bea97f81d1","year":2008},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:978bfc58167b9f40d5f9c2ae71bd87c098ff30ec4575418412ebec4a67f6348e","observation_id":"ee445e89-1b4e-4f03-99bb-b1341fed83ef","resolution":{"observed_at":"2026-05-18T15:01:32.452405Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"d4e99323-b612-4f9b-9f79-6960495ef7eb","year":1995},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:1811d7ecd86e431fd07e848db87bce76dbeb8b6e82796a1d48e15859315b68db","observation_id":"8d66b141-f5cb-4106-b10e-bddc22b151ad","resolution":{"observed_at":"2026-05-18T15:01:32.428015Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1508.03063","last_updated":"2017-08-15T17:44:52Z","snapshot_observed_at":"2026-08-14T22:36:43.448053Z","submitted_at":"2015-08-12T20:39:57Z","title":"Random Partitions and the Quantum Benjamin-Ono Hierarchy","version":3},"cited_work":{"arxiv_id":"1508.03063","doi":null,"metadata_source":"pith","pith_arxiv_id":"1508.03063","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Random Partitions and the Quantum Benjamin-Ono Hierarchy","venue":"math-ph","work_id":"b8a34fc9-d7c4-436e-bc24-e3d88ad6600b","year":2015},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"cited_paper":"/paper/1508.03063","citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:439e6e8d60d2e48fba92cd94c60dacbdb5cefc78de3b2e831ee2608a4ad4574b","observation_id":"bc78ea6b-f49c-49ae-a2b9-db0f41f71676","resolution":{"observed_at":"2026-05-18T15:01:31.412013Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"78f075e4-be5a-4828-820b-60cc47ba0268","year":2023},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:97a5991bc46a9368ee8063008ae5c79374021c199b5386ceac7ae0d880c0dd97","observation_id":"ce67f51d-19b3-4c1d-9231-358415fa6dcc","resolution":{"observed_at":"2026-05-18T15:01:32.417964Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":"Methods Appl","venue":null,"work_id":"04be60c3-85c0-4315-b9e3-1a199f4bc894","year":2013},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:81bd797a6e867aa9f523a3d1796a6af7073310e22d2c680b26342cb668416be0","observation_id":"9fe363e3-c656-435a-b3e2-e47297151928","resolution":{"observed_at":"2026-05-18T15:01:32.407807Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"d3c470d1-b49d-4551-b0d5-2376c8ef1793","year":2013},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:a146e9f1be161e0d0f9ccca5685a4b2f083bf01731b9449e0b6a201e416a96ce","observation_id":"ece17bc2-bf22-435b-a7da-e7e83d074197","resolution":{"observed_at":"2026-05-18T15:01:32.401666Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"438bd0fe-01eb-4a9f-a765-c0975fa5cc76","year":2019},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:e2b9970ca3541aec8ec98d82fb9bf3fd8d858088045d362cad49764968499f18","observation_id":"0c064839-ab57-49fd-8bc9-a4a0893b9bd5","resolution":{"observed_at":"2026-05-18T15:01:32.445478Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":"Stanley, Some combinatorial properties of J ack symmetric functions , Adv","venue":null,"work_id":"a0ce33cf-48bd-462c-92b3-d352780d7852","year":1989},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:c08769a943e766fcbf4699e58f2dfa6149e3eb49dffb6f05754a3c7e6dec78aa","observation_id":"8e061152-a7af-45d5-a456-3c2d6ec28eea","resolution":{"observed_at":"2026-05-18T15:01:32.414518Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"24f3ab92-6440-4c5e-8689-93932793dc0f","year":1967},"citing_paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator","version":2},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-05-18T14:59:57.552206Z"},"links":{"citing_paper":"/paper/2509.18625"},"observation_digest":"sha256:ac5f9cec1219a3dba21b48f9e4703857dfda5292823405f7d68af11102665460","observation_id":"b84499b7-e117-4bd6-ac96-d21b6f404d6c","resolution":{"observed_at":"2026-05-18T15:01:32.404767Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2509.18625","last_updated":"2026-04-26T19:19:33Z","latest_version":2,"primary_category":"math.CO","snapshot_observed_at":"2026-08-18T13:28:26.769331Z","submitted_at":"2025-09-23T04:21:17Z","title":"A formula for the Jack super nabla operator"},"reference_resolution":{"displayed":35,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":20,"verified_exact":7,"verified_fuzzy":8},"total_outbound_references":35},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2509.18625."}