{"as_of":"2026-08-15T13:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a79d8ef4c7447d43297d2630d68e2d1266351c6e3f74dcf18193750e09bbe5d9","coverage":[{"denominator":112,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T14:07:55.484245Z","state":"measured"},{"denominator":101,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":101,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+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":"2026-05-18T19:18:05.909669Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-18T19:21:49.101906Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"cited_work":{"arxiv_id":"1908.03779","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1908.03779","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","venue":null,"work_id":"8d368d2a-2450-4951-92c5-470360f99501","year":2019},"citing_paper":{"arxiv_id":"2509.03400","last_updated":"2026-05-05T09:50:41Z","snapshot_observed_at":"2026-08-14T15:08:24.830213Z","submitted_at":"2025-09-03T15:24:04Z","title":"Entanglement entropy, Monte Carlo event generators, and soft gluons DIScovery","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-05-18T19:18:05.909669Z"},"links":{"cited_paper":"/paper/1908.03779","citing_paper":"/paper/2509.03400"},"observation_digest":"sha256:56f7a1729e6c963acdb08241aa4db6f1b3b017129a463fda2d5d680ac7165497","observation_id":"39abb72c-e7cf-429d-a1d1-e428e15b43e1","resolution":{"observed_at":"2026-05-18T19:21:49.104474Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1908.03779/citation-record","integrity":"/paper/1908.03779/integrity","json":"/paper/1908.03779/citation-record.json","paper":"/paper/1908.03779"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"1108.1713","last_updated":"2011-11-28T19:15:00Z","snapshot_observed_at":"2026-08-15T04:38:56.289243Z","submitted_at":"2011-08-05T18:06:19Z","title":"Gluons and the quark sea at high energies: distributions, polarization, tomography","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1108.1713","snapshot_observed_at":"2026-08-14T14:07:55.073150Z","title":"Boer et al","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.073150Z"},"links":{"cited_paper":"/paper/1108.1713","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:a1b25a46ac4f4534f476c6eb7262e1b1dbd8c9de502c19cabc61425ddd40642f","observation_id":"25e4968d-33d5-4de0-8be2-098ff49bebdb","resolution":{"observed_at":"2026-08-14T14:07:55.073150Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1110.0016","last_updated":"2011-10-22T16:04:37Z","snapshot_observed_at":"2026-08-15T04:33:35.045861Z","submitted_at":"2011-09-30T20:35:12Z","title":"Workshop on Precision Measurements of alphas","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1110.0016","snapshot_observed_at":"2026-08-14T14:07:55.081322Z","title":"Bethke et al., Workshop on Precision Measurements of αs, arXiv:1110.0016 [hep-ph]; S","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.081322Z"},"links":{"cited_paper":"/paper/1110.0016","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:312cfe1f1f72011eaf96fcb8fc4c4ed008c34ab43ad6679f453fbee15f7809a2","observation_id":"7c0537a2-44e8-438e-b77e-a1b121fb0125","resolution":{"observed_at":"2026-08-14T14:07:55.081322Z","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":"ph/0011215","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:57.180340Z","title":"Gl ¨uck, E","venue":null,"work_id":"151fd495-0813-405d-ba6e-e41514a1afaa","year":2001},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.086388Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:c395d7afe243808706ba04035aad027dfe1b30efc423057b141dd775374f6fec","observation_id":"d2210931-31aa-486d-9374-c77ad7e229c9","resolution":{"observed_at":"2026-08-14T14:07:57.187551Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9810270","last_updated":"1998-10-07T10:12:54Z","snapshot_observed_at":"2026-08-06T13:05:31.821440Z","submitted_at":"1998-10-07T10:12:54Z","title":"Spin Physics and Polarized Structure Functions","version":1},"cited_work":{"arxiv_id":"hep-ph/9810270","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-ph/9810270","snapshot_observed_at":"2026-08-14T14:07:57.100014Z","title":"Spin Physics and Polarized Structure Functions","venue":"hep-ph","work_id":"562eeced-56e4-4f70-831b-04453828defc","year":1998},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.090990Z"},"links":{"cited_paper":"/paper/hep-ph/9810270","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:52ede99b81c0e875dcafc25da9d26bdb484109e06b669f736281631224d885cc","observation_id":"63ea9ea8-bea3-4541-bd88-2cb17d4ece2d","resolution":{"observed_at":"2026-08-14T14:07:57.104590Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.095591Z","title":"Deur, S.J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.095591Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:85facc176f7db088e3918544baca043091cca5e086ae5549397b1a92b356e8b7","observation_id":"af88744b-8f3c-4638-be55-462b88e129cd","resolution":{"observed_at":"2026-08-14T14:07:55.095591Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1409.5131","last_updated":"2014-09-17T20:00:23Z","snapshot_observed_at":"2026-08-14T23:19:05.256994Z","submitted_at":"2014-09-17T20:00:23Z","title":"The Three-Loop Splitting Functions in QCD: The Helicity-Dependent Case","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1409.5131","snapshot_observed_at":"2026-08-14T14:07:55.100380Z","title":"Moch, J.A.M","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.100380Z"},"links":{"cited_paper":"/paper/1409.5131","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:126c0fa3e8e81ad6d53f055ace74c8ac548abc78e582ee02edee30ffe50eba6e","observation_id":"8c78c6ba-9cd9-4f44-93ba-57f4e08f7c4a","resolution":{"observed_at":"2026-08-14T14:07:55.100380Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9506451","last_updated":"2018-05-17T07:26:04Z","snapshot_observed_at":"2026-08-14T12:45:02.865770Z","submitted_at":"1995-06-29T11:01:38Z","title":"The Calculation of the Two-Loop Spin Splitting Functions $P_{ij}^{(1)}(x)$","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9506451","snapshot_observed_at":"2026-08-14T14:07:55.105200Z","title":"Mertig and W.L","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.105200Z"},"links":{"cited_paper":"/paper/hep-ph/9506451","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:7ec26c8e5b0bba2245a053cb28f318144e80d94041ddbcfa70d01c807dab970d","observation_id":"e25f97f7-a327-49b0-8911-bc5a780ce886","resolution":{"observed_at":"2026-08-14T14:07:55.105200Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9512218","last_updated":"1995-12-05T13:18:40Z","snapshot_observed_at":"2026-07-07T04:21:29.568516Z","submitted_at":"1995-12-03T18:06:22Z","title":"A Rederivation of the Spin-dependent Next-to-leading Order Splitting Functions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9512218","snapshot_observed_at":"2026-08-14T14:07:55.110179Z","title":"Vogelsang, Phys","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.110179Z"},"links":{"cited_paper":"/paper/hep-ph/9512218","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:a5116fccf80b6b439ff52174b690d61f3384b3bcf1321556c64ff699e7ab6179","observation_id":"60e1a2e4-796c-48df-848f-4511f494ca6a","resolution":{"observed_at":"2026-08-14T14:07:55.110179Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.114890Z","title":"Moch, J.A.M","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.114890Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:c6f8b8e6b1151e4907ad0a9376ca3c5ef0df2628bf65349aa5d1642478f4e276","observation_id":"f28eaee6-ed72-4620-ae66-c62302872aa2","resolution":{"observed_at":"2026-08-14T14:07:55.114890Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1406.4654","last_updated":"2014-06-18T09:32:58Z","snapshot_observed_at":"2026-08-14T23:29:57.936394Z","submitted_at":"2014-06-18T09:32:58Z","title":"The 3-Loop Non-Singlet Heavy Flavor Contributions and Anomalous Dimensions for the Structure Function $F_2(x,Q^2)$ and Transversity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1406.4654","snapshot_observed_at":"2026-08-14T14:07:55.118856Z","title":"Ablinger, A","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.118856Z"},"links":{"cited_paper":"/paper/1406.4654","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:d5e0557ffbaab0aebf11ee71ad3d6d4471b8d8bb69d0a0453998690f4a75aa6c","observation_id":"c88d33d4-f13f-46b2-9ff4-6946f5141bca","resolution":{"observed_at":"2026-08-14T14:07:55.118856Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0909.1547","last_updated":"2009-09-08T19:47:21Z","snapshot_observed_at":"2026-08-15T05:39:34.470573Z","submitted_at":"2009-09-08T19:47:21Z","title":"$O(\\alpha_s^2)$ and $O(\\alpha_s^3)$ Heavy Flavor Contributions to Transversity at $Q^2 \\gg m^2$","version":1},"cited_work":{"arxiv_id":"0909.1547","doi":null,"metadata_source":"pith","pith_arxiv_id":"0909.1547","snapshot_observed_at":"2026-08-14T14:07:56.825546Z","title":"$O(\\alpha_s^2)$ and $O(\\alpha_s^3)$ Heavy Flavor Contributions to Transversity at $Q^2 \\gg m^2$","venue":"hep-ph","work_id":"56f87661-ff8c-4743-a29b-f770fbb75d90","year":2009},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.123239Z"},"links":{"cited_paper":"/paper/0909.1547","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:231b4f0ffc4876080e35db9d0bf43c9c4b135c3b31d84e88bb742165aaeee3a6","observation_id":"97e21867-adb8-419d-bb71-081132a64d09","resolution":{"observed_at":"2026-08-14T14:07:56.829957Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"ph/0404111","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:56.805107Z","title":null,"venue":null,"work_id":"7d507903-a083-4005-8a31-16c5bcbfa7a0","year":2004},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.127510Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:ceca5857b9fa4ba6939d4cca283b724a6158982710a9fd0c785a42b5fcd68b92","observation_id":"6b4a1840-df12-4a4b-821a-3c1a10d0f9da","resolution":{"observed_at":"2026-08-14T14:07:56.812009Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1402.0359","last_updated":"2014-02-03T12:31:37Z","snapshot_observed_at":"2026-08-14T23:46:03.520151Z","submitted_at":"2014-02-03T12:31:37Z","title":"The Transition Matrix Element A_{gq}(N) of the Variable Flavor Number Scheme at O(\\alpha_s^3)","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1402.0359","snapshot_observed_at":"2026-08-14T14:07:55.131474Z","title":"Ablinger, J","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.131474Z"},"links":{"cited_paper":"/paper/1402.0359","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:96788a0f2de4f5bd5134b685197f51d6c95d052ea0b18a6d84661fdae84b49fe","observation_id":"b554f890-4db7-4b49-98f5-9273fdb36790","resolution":{"observed_at":"2026-08-14T14:07:55.131474Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1409.1135","last_updated":"2014-09-03T15:58:54Z","snapshot_observed_at":"2026-08-14T23:20:53.867217Z","submitted_at":"2014-09-03T15:58:54Z","title":"The 3-Loop Pure Singlet Heavy Flavor Contributions to the Structure Function $F_2(x,Q^2)$ and the Anomalous Dimension","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1409.1135","snapshot_observed_at":"2026-08-14T14:07:55.135554Z","title":"Ablinger, A","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.135554Z"},"links":{"cited_paper":"/paper/1409.1135","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:eaa9328c3221b7f4dc1517839dff11a807e08d8d40ee5986d6f8d2e5afb762aa","observation_id":"ad0d378c-66ac-46b1-8ffa-2e9516dea2a4","resolution":{"observed_at":"2026-08-14T14:07:55.135554Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1008.3347","last_updated":"2010-08-19T16:39:30Z","snapshot_observed_at":"2026-08-15T05:10:52.799039Z","submitted_at":"2010-08-19T16:39:30Z","title":"The O(\\alpha_s^3) Massive Operator Matrix Elements of O(n_f) for the Structure Function F_2(x,Q^2) and Transversity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1008.3347","snapshot_observed_at":"2026-08-14T14:07:55.140098Z","title":"Ablinger, J","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.140098Z"},"links":{"cited_paper":"/paper/1008.3347","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:75b8793a8ccc0c4d8b708327a7112962b5fbd9ef6a2921a859646c282d3f4a96","observation_id":"a8ec3403-d3e0-44d6-8316-788a0ed9653a","resolution":{"observed_at":"2026-08-14T14:07:55.140098Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1705.01508","last_updated":"2017-05-03T17:07:53Z","snapshot_observed_at":"2026-08-14T21:03:01.966997Z","submitted_at":"2017-05-03T17:07:53Z","title":"The Three-Loop Splitting Functions $P_{qg}^{(2)}$ and $P_{gg}^{(2, N_F)}$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1705.01508","snapshot_observed_at":"2026-08-14T14:07:55.144041Z","title":"Ablinger, A","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.144041Z"},"links":{"cited_paper":"/paper/1705.01508","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:f2c0a59a57a175df059dc1f00f30c3c9a3e1da0ba4812e1be098a84422cd3456","observation_id":"8e8c6179-fe76-4467-91fc-873eca3bd3c0","resolution":{"observed_at":"2026-08-14T14:07:55.144041Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1809.02889","last_updated":"2018-09-08T22:36:15Z","snapshot_observed_at":"2026-08-14T18:31:11.204536Z","submitted_at":"2018-09-08T22:36:15Z","title":"Analytic Computing Methods for Precision Calculations in Quantum Field Theory","version":1},"cited_work":{"arxiv_id":"1809.02889","doi":null,"metadata_source":"pith","pith_arxiv_id":"1809.02889","snapshot_observed_at":"2026-08-14T14:07:56.677487Z","title":"Analytic Computing Methods for Precision Calculations in Quantum Field Theory","venue":"hep-ph","work_id":"87c11a1b-7465-4c3b-aaa1-4255e87ac2ea","year":2018},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.147791Z"},"links":{"cited_paper":"/paper/1809.02889","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:7d6e366deae613773a12486f3496ce2fb856b7c3a2ffbfb6f15c8162330c10e4","observation_id":"c1871f7b-8965-4beb-a373-898666f1fa5e","resolution":{"observed_at":"2026-08-14T14:07:56.682190Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1509.08324","last_updated":"2015-09-28T14:05:33Z","snapshot_observed_at":"2026-08-14T22:30:33.490870Z","submitted_at":"2015-09-28T14:05:33Z","title":"Calculating Three Loop Ladder and V-Topologies for Massive Operator Matrix Elements by Computer Algebra","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1509.08324","snapshot_observed_at":"2026-08-14T14:07:55.151297Z","title":"Ablinger, A","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.151297Z"},"links":{"cited_paper":"/paper/1509.08324","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:0763825b1d476490f8d4535edd625d135cae95b2a575debd0d5b8157e8dbb5ea","observation_id":"2cc3e338-2eee-45fa-b999-3706f20ebd08","resolution":{"observed_at":"2026-08-14T14:07:55.151297Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1701.04614","last_updated":"2017-01-17T10:50:33Z","snapshot_observed_at":"2026-08-14T21:20:51.472263Z","submitted_at":"2017-01-17T10:50:33Z","title":"The Method of Arbitrarily Large Moments to Calculate Single Scale Processes in Quantum Field Theory","version":1},"cited_work":{"arxiv_id":"1701.04614","doi":null,"metadata_source":"pith","pith_arxiv_id":"1701.04614","snapshot_observed_at":"2026-08-14T14:07:56.648411Z","title":"The Method of Arbitrarily Large Moments to Calculate Single Scale Processes in Quantum Field Theory","venue":"hep-ph","work_id":"6d7cb7ea-d7f6-4e6a-8720-8b489c87e97b","year":2017},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.154748Z"},"links":{"cited_paper":"/paper/1701.04614","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:e763a4c5bc37130f4aafcf03b7769c86c2e7249a29bed2e94b350381008cfc4c","observation_id":"21c94a62-1e01-4b95-a0f2-c5bec68c54c0","resolution":{"observed_at":"2026-08-14T14:07:56.652825Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.158136Z","title":"Kauers, Guessing Handbook, JKU Linz, Technical Report RISC 09-07","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.158136Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:6ce5bc0d5e577fed2dee766418a23a746f0b0fc25cffaad23e90d0cbb9d26198","observation_id":"14a88bff-69fc-4c9d-9fe4-d45cd3cfdf3a","resolution":{"observed_at":"2026-08-14T14:07:55.158136Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.161406Z","title":"Schneider, S´ em","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.161406Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:ddc5d9b36550d301a0288fbaec5680e6fcd83afc7b52a6c985d77ea51526340b","observation_id":"f21bf783-6521-41f3-94d3-b12480472201","resolution":{"observed_at":"2026-08-14T14:07:55.161406Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1304.4134","last_updated":"2013-04-15T15:37:44Z","snapshot_observed_at":"2026-08-15T00:21:27.413157Z","submitted_at":"2013-04-15T15:37:44Z","title":"Simplifying Multiple Sums in Difference Fields","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1304.4134","snapshot_observed_at":"2026-08-14T14:07:55.166606Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.166606Z"},"links":{"cited_paper":"/paper/1304.4134","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:2e89264ea2b426853488f2dde19983e250b3aa9feb8a8b48fd6c2642adf6e4a8","observation_id":"cacd3359-6de8-4b6e-8369-0857c0079d95","resolution":{"observed_at":"2026-08-14T14:07:55.166606Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9302240","last_updated":"1993-02-09T20:06:16Z","snapshot_observed_at":"2026-08-10T12:40:29.961201Z","submitted_at":"1993-02-09T20:06:16Z","title":"The renormalization of the axial anomaly in dimensional regularization","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9302240","snapshot_observed_at":"2026-08-14T14:07:55.171541Z","title":"Larin, Phys","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.171541Z"},"links":{"cited_paper":"/paper/hep-ph/9302240","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:205dca86de9a5848bbb6874d8f7c11c4adb9f1efe2d699d5fea646533e3482ce","observation_id":"5d0c62ca-87a0-4cf7-85c3-8ced30a07aa5","resolution":{"observed_at":"2026-08-14T14:07:55.171541Z","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":"ph/9803439","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:56.604385Z","title":"Matiounine, J","venue":null,"work_id":"f768c66e-2749-42f6-adfd-803026313f79","year":1998},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.175310Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:7db4cf4e6f9e96f3a9d178649028e94bcb9e09f844f288eb0a306bb0d83c92bd","observation_id":"330bd538-dde2-49aa-89e0-aeac1ac2d3e1","resolution":{"observed_at":"2026-08-14T14:07:56.611100Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0904.3563","last_updated":"2009-04-23T14:59:07Z","snapshot_observed_at":"2026-08-15T05:49:55.251163Z","submitted_at":"2009-04-23T14:59:07Z","title":"Mellin Moments of the {$O(\\alpha_s^3$)} Heavy Flavor Contributions to unpolarized Deep-Inelastic Scattering at $Q^2 \\gg m^2$ and Anomalous Dimensions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0904.3563","snapshot_observed_at":"2026-08-14T14:07:55.179109Z","title":"Bierenbaum, J","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.179109Z"},"links":{"cited_paper":"/paper/0904.3563","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:34803ebc96ef947df8b4ecda574b075bc5c85814b084241354dafd32572c63a2","observation_id":"8029ab17-9ff3-42d8-ac43-b459fcfa033a","resolution":{"observed_at":"2026-08-14T14:07:55.179109Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9608342","last_updated":"1996-08-15T23:01:11Z","snapshot_observed_at":"2026-07-07T04:23:24.515889Z","submitted_at":"1996-08-15T23:01:11Z","title":"$O(\\alpha_s^2)$ corrections to polarized heavy flavour production at $Q^2\\gg m^2$","version":1},"cited_work":{"arxiv_id":"hep-ph/9608342","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-ph/9608342","snapshot_observed_at":"2026-08-14T14:07:56.527027Z","title":"$O(\\alpha_s^2)$ corrections to polarized heavy flavour production at $Q^2\\gg m^2$","venue":"hep-ph","work_id":"9ff6a438-c4c3-4b94-99c6-5208c5a7d2ab","year":1996},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.182868Z"},"links":{"cited_paper":"/paper/hep-ph/9608342","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:3b1b6976d45b86cd189d2e8d694b7d7c433f04a9d6fd760280fcb9cc85007d79","observation_id":"85a884bc-ab48-4ce4-a852-68fe3c37ae05","resolution":{"observed_at":"2026-08-14T14:07:56.530902Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0910.3101","last_updated":"2009-10-16T12:27:37Z","snapshot_observed_at":"2026-08-15T05:36:31.453327Z","submitted_at":"2009-10-16T12:27:37Z","title":"Mellin moments of heavy flavor contributions to F_2(x,Q^2) at NNLO","version":1},"cited_work":{"arxiv_id":"0910.3101","doi":null,"metadata_source":"pith","pith_arxiv_id":"0910.3101","snapshot_observed_at":"2026-08-14T14:07:56.510767Z","title":"Mellin moments of heavy flavor contributions to F_2(x,Q^2) at NNLO","venue":"hep-ph","work_id":"65e33f7a-bd19-44f1-abfa-51d846a81bcb","year":2009},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.186911Z"},"links":{"cited_paper":"/paper/0910.3101","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:167fa49d154929b540ab654cdf4f3518866f4d9295f75b7cae858416f18aea53","observation_id":"75519e6f-900c-47a3-ba7b-3c9078f84024","resolution":{"observed_at":"2026-08-14T14:07:56.514972Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1904.08911","last_updated":"2019-04-18T17:45:49Z","snapshot_observed_at":"2026-08-14T16:44:18.360011Z","submitted_at":"2019-04-18T17:45:49Z","title":"The Polarized Two-Loop Massive Pure Singlet Wilson Coefficient for Deep-Inelastic Scattering","version":1},"cited_work":{"arxiv_id":"1904.08911","doi":null,"metadata_source":"pith","pith_arxiv_id":"1904.08911","snapshot_observed_at":"2026-08-14T14:07:56.493118Z","title":"The Polarized Two-Loop Massive Pure Singlet Wilson Coefficient for Deep-Inelastic Scattering","venue":"hep-ph","work_id":"cae4e820-4d36-4f3a-8b61-a307143baacf","year":2019},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.191345Z"},"links":{"cited_paper":"/paper/1904.08911","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:43e567598520df9629515578b1fd0da700aa2b9bc0bb2fd6cea3aefc57348bbd","observation_id":"90075e5a-52c2-44ac-a121-9159fbeaec61","resolution":{"observed_at":"2026-08-14T14:07:56.497499Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.195586Z","title":"Bierenbaum J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.195586Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:2f5e5eae1ef71373a91543567089f4d588fc1a7500dec316da22e7029c0223c2","observation_id":"dad0bbad-41ae-4cde-8e28-a63f8242af7b","resolution":{"observed_at":"2026-08-14T14:07:55.195586Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.199269Z","title":"Hasselhuhn, 3-Loop Contributions to Heavy Flavor Wilson Coefficients of Neutral and Charged Current DIS , DESY-THESIS-2013-050","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.199269Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:13c709359eda49a8e8f5f910c8bf59325b8a53f343d3403e53cb32d2e7f5c314","observation_id":"d47ba8fb-c84f-481e-9427-98834a9295ae","resolution":{"observed_at":"2026-08-14T14:07:55.199269Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.203148Z","title":"Bl ¨umlein, A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.203148Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:12d514c1facd8b3e9b171aa6264a7328aaa136f1228068675a855794dc1d1990","observation_id":"3dd9bd19-e43b-468f-b34b-a0a07c012b36","resolution":{"observed_at":"2026-08-14T14:07:55.203148Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9601302","last_updated":"1996-01-19T19:57:38Z","snapshot_observed_at":"2026-08-09T18:45:31.170172Z","submitted_at":"1996-01-19T19:57:38Z","title":"Heavy quark coefficient functions at asymptotic values $Q^2 \\gg m^2$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9601302","snapshot_observed_at":"2026-08-14T14:07:55.207156Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.207156Z"},"links":{"cited_paper":"/paper/hep-ph/9601302","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:f47531d9772bfdda27c97c6cc5488db7745db67b4a8aa2d91142840f52d73e6d","observation_id":"e9edaca2-fc48-48c1-bb2d-a72de451a023","resolution":{"observed_at":"2026-08-14T14:07:55.207156Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9612398","last_updated":"1996-12-18T17:12:58Z","snapshot_observed_at":"2026-07-07T04:24:39.097381Z","submitted_at":"1996-12-18T17:12:58Z","title":"Charm electroproduction viewed in the variable-flavour number scheme versus fixed-order perturbation theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9612398","snapshot_observed_at":"2026-08-14T14:07:55.211310Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.211310Z"},"links":{"cited_paper":"/paper/hep-ph/9612398","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:973c47512f718bd72f8fe65f203dd041e340fa4e33858c45e217a8f5ee6a15a6","observation_id":"98ad24d7-a17b-4990-9d38-8c1fa385d3d4","resolution":{"observed_at":"2026-08-14T14:07:55.211310Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0907.2557","last_updated":"2009-11-14T18:08:24Z","snapshot_observed_at":"2026-08-15T05:43:40.833853Z","submitted_at":"2009-07-15T11:14:37Z","title":"The Multiple Zeta Value Data Mine","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0907.2557","snapshot_observed_at":"2026-08-14T14:07:55.215605Z","title":"Bl ¨umlein, D.J","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.215605Z"},"links":{"cited_paper":"/paper/0907.2557","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:2fa5091cc1fdeebb37cb9e637b7ef2fabc1df67262222780900b186af2ceeb48","observation_id":"f06d4b47-069f-44e8-b914-33153335f9e1","resolution":{"observed_at":"2026-08-14T14:07:55.215605Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.219590Z","title":"’t Hooft and M.J.G","venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.219590Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:76d6276ac0f69dd0fc54ccaf3360d30d917ec3e47493777c3dcb0dd0e2f2c980","observation_id":"f676fb4e-a008-47cf-901b-cabaca839489","resolution":{"observed_at":"2026-08-14T14:07:55.219590Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9401354","last_updated":"1994-01-31T16:26:00Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"1994-01-31T16:26:00Z","title":"The Role of $\\gamma_5$ in Dimensional Regularization","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9401354","snapshot_observed_at":"2026-08-14T14:07:55.223414Z","title":"Kreimer, Phys","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.223414Z"},"links":{"cited_paper":"/paper/hep-ph/9401354","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:c2198a3ad405767139e67589e5592f912b18aed570b1a7f2faf0f0438ae6929c","observation_id":"82053205-a6c4-4879-99f8-f59e8c6229e5","resolution":{"observed_at":"2026-08-14T14:07:55.223414Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0706.2738","last_updated":"2007-06-19T08:59:23Z","snapshot_observed_at":"2026-08-15T10:37:54.109712Z","submitted_at":"2007-06-19T08:59:23Z","title":"Two-Loop Massive Operator Matrix Elements for Polarized and Unpolarized Deep-Inelastic Scattering","version":1},"cited_work":{"arxiv_id":"0706.2738","doi":null,"metadata_source":"pith","pith_arxiv_id":"0706.2738","snapshot_observed_at":"2026-08-14T14:07:56.427065Z","title":"Two-Loop Massive Operator Matrix Elements for Polarized and Unpolarized Deep-Inelastic Scattering","venue":"hep-ph","work_id":"9a700def-989a-401c-824a-333cc9791c1b","year":2007},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.227439Z"},"links":{"cited_paper":"/paper/0706.2738","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:8b769fa3b3423d192e653754800722053e3d1fb8d011e52d8d9eece951b60632","observation_id":"a29abf2c-2199-4571-8d3f-baaa5d96f65a","resolution":{"observed_at":"2026-08-14T14:07:56.431830Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.231174Z","title":"Zijlstra and W.L","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.231174Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:f00c643ca9aec34bed61a14d7a9b39bed658d8ee609ebe5cac9b5c69cee336b8","observation_id":"0929a99d-61fd-4cdb-a967-3cb03f61fda4","resolution":{"observed_at":"2026-08-14T14:07:55.231174Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0807.1238","last_updated":"2008-07-08T13:31:54Z","snapshot_observed_at":"2026-08-15T10:11:40.096931Z","submitted_at":"2008-07-08T13:31:54Z","title":"Towards the NNLO evolution of polarised parton distributions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.1238","snapshot_observed_at":"2026-08-14T14:07:55.234790Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.234790Z"},"links":{"cited_paper":"/paper/0807.1238","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:cda3da14bff1d1f26d08cb7bf06b52f80527fef62b7ff67d86866441605db191","observation_id":"90b909e3-e81a-4388-b893-ff7cac69e22d","resolution":{"observed_at":"2026-08-14T14:07:55.234790Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.238181Z","title":"van Neerven, FORTRAN-code disnew.f, unpublished","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.238181Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:50b0d45ceb199ee8ecba62674141941aab50674fc2a4296b4b85fe3060ae631b","observation_id":"5acde181-4b3d-47c0-a481-0273b45f994d","resolution":{"observed_at":"2026-08-14T14:07:55.238181Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0009029","last_updated":"2000-09-04T11:39:12Z","snapshot_observed_at":"2026-07-07T03:49:41.947132Z","submitted_at":"2000-09-04T11:39:12Z","title":"MATAD: a program package for the computation of MAssive TADpoles","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0009029","snapshot_observed_at":"2026-08-14T14:07:55.241464Z","title":"Steinhauser, Comput","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.241464Z"},"links":{"cited_paper":"/paper/hep-ph/0009029","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:ac160c1c7ef501261a2f5f87bae39446c84159c7fe0fe3f56ce11927ec18a733","observation_id":"eb4c80d4-acdf-48c9-af50-2a725abaac83","resolution":{"observed_at":"2026-08-14T14:07:55.241464Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.245343Z","title":"Nogueira, J","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.245343Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:597a0bdba5ffc0ba63b435a40690844d7548076532638b6ecc07e2c0c5b5497a","observation_id":"812e88f3-78d5-4ee6-8bb7-c516e8e866b8","resolution":{"observed_at":"2026-08-14T14:07:55.245343Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math-ph/0010025","last_updated":"2000-10-19T23:40:36Z","snapshot_observed_at":"2026-07-07T06:12:35.362030Z","submitted_at":"2000-10-19T13:02:55Z","title":"New features of FORM","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math-ph/0010025","snapshot_observed_at":"2026-08-14T14:07:55.249372Z","title":"Vermaseren, New features of FORM , math-ph/0010025; M","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.249372Z"},"links":{"cited_paper":"/paper/math-ph/0010025","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:966c4bf726c7184668781d5321eced4e468314cd49adf029d652173b6d189a94","observation_id":"a4e99e7d-2488-450a-8e7d-77582feaa551","resolution":{"observed_at":"2026-08-14T14:07:55.249372Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9802376","last_updated":"1998-02-20T20:27:22Z","snapshot_observed_at":"2026-08-02T17:24:03.502273Z","submitted_at":"1998-02-20T20:27:22Z","title":"Group theory factors for Feynman diagrams","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9802376","snapshot_observed_at":"2026-08-14T14:07:55.253865Z","title":"van Ritbergen, A.N","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.253865Z"},"links":{"cited_paper":"/paper/hep-ph/9802376","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:195f51897ff0d5045ce59e68aaffb380138e2251af227a0f3dfd7567439a857f","observation_id":"a5e84f3c-1568-4a3b-a382-3f6ef3f9f864","resolution":{"observed_at":"2026-08-14T14:07:55.253865Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0102033","last_updated":"2001-02-03T11:42:35Z","snapshot_observed_at":"2026-07-07T03:51:21.780507Z","submitted_at":"2001-02-03T11:42:35Z","title":"High-precision calculation of multi-loop Feynman integrals by difference equations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0102033","snapshot_observed_at":"2026-08-14T14:07:55.257659Z","title":"Lagrange, Nouvelles recherches sur la nature et la propagation du son , Miscellanea Tauri- nensis, t","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.257659Z"},"links":{"cited_paper":"/paper/hep-ph/0102033","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:9a658f1124c92e6798d6cbdd24c20fee9e378024ba07aa960370fc7ff4cea8df","observation_id":"a816a5b5-7816-4571-a2bf-b6c515f0fe68","resolution":{"observed_at":"2026-08-14T14:07:55.257659Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0912.2546","last_updated":"2010-02-22T15:17:46Z","snapshot_observed_at":"2026-08-15T05:31:33.565618Z","submitted_at":"2009-12-14T14:42:28Z","title":"Reduze - Feynman Integral Reduction in C++","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0912.2546","snapshot_observed_at":"2026-08-14T14:07:55.261628Z","title":"Studerus, Comput","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.261628Z"},"links":{"cited_paper":"/paper/0912.2546","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:959d343d73fdedb80e96d0bcb184bc068f835b419746d06545cd8943be64dd0d","observation_id":"b2372f01-af45-4664-a8c8-f44e6414c889","resolution":{"observed_at":"2026-08-14T14:07:55.261628Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1201.4330","last_updated":"2012-01-20T16:22:46Z","snapshot_observed_at":"2026-08-15T04:21:54.428850Z","submitted_at":"2012-01-20T16:22:46Z","title":"Reduze 2 - Distributed Feynman Integral Reduction","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1201.4330","snapshot_observed_at":"2026-08-14T14:07:55.266175Z","title":"von Manteuffel and C","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.266175Z"},"links":{"cited_paper":"/paper/1201.4330","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:4d8c6242186f4e5446ef95dc26eef59ebfffc8551c4cebd54586266c5a0ee15f","observation_id":"a60dfa40-8bab-4f20-88ef-819042373805","resolution":{"observed_at":"2026-08-14T14:07:55.266175Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.270363Z","title":"Lewis, Computer Algebra System Fermat, http://home.bway.net/lewis","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.270363Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:83f6b597c3e268448bf3bcc38b1bed17e4707a9ac2c4949c513ef9bc558273cb","observation_id":"670ea531-92f4-4a6e-935c-f153d744657a","resolution":{"observed_at":"2026-08-14T14:07:55.270363Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"cs/0004015","last_updated":"2001-07-10T15:40:44Z","snapshot_observed_at":"2026-08-11T05:36:39.059285Z","submitted_at":"2000-04-27T10:30:58Z","title":"Introduction to the GiNaC Framework for Symbolic Computation within the C++ Programming Language","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"cs/0004015","snapshot_observed_at":"2026-08-14T14:07:55.274187Z","title":"Bauer, A","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.274187Z"},"links":{"cited_paper":"/paper/cs/0004015","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:3c8b9bc8c82b15fdb437f862afff118d5e6398b7ee55f6f8d51067d99a3e869b","observation_id":"972a7477-1815-441c-bbec-850badfa5827","resolution":{"observed_at":"2026-08-14T14:07:55.274187Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1305.1966","last_updated":"2013-05-08T22:02:02Z","snapshot_observed_at":"2026-08-15T00:18:27.965262Z","submitted_at":"2013-05-08T22:02:02Z","title":"Multiple hypergeometric series -- Appell series and beyond","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1305.1966","snapshot_observed_at":"2026-08-14T14:07:55.278636Z","title":"Klein, Vorlesungen ¨uber die hypergeometrische Funktion , Wintersemester 1893/94, Die Grundlehren der Mathematischen Wissenschaften 39, (Springer, Berlin, 1933); W.N","venue":null,"work_id":null,"year":1933},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.278636Z"},"links":{"cited_paper":"/paper/1305.1966","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:ea7e53dc48c16038e802cd1e901a39524cb830a8b6e31f47b3c73b7638ba67c5","observation_id":"1d182178-f20a-4fd7-addd-101d5a70973f","resolution":{"observed_at":"2026-08-14T14:07:55.278636Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.283144Z","title":"Slater, Generalized hypergeometric functions , (Cambridge, Cambridge University Press, 1966)","venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.283144Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:8c3a2fbb89955fbb919c32d7cfb424b57b4544b4b762b161b90926eba51465df","observation_id":"34605dd6-74d9-4e7f-ba24-5591f39a0bc8","resolution":{"observed_at":"2026-08-14T14:07:55.283144Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0804.1660","last_updated":"2008-04-10T10:22:34Z","snapshot_observed_at":"2026-08-15T10:17:51.203985Z","submitted_at":"2008-04-10T10:22:34Z","title":"The massless higher-loop two-point function","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0804.1660","snapshot_observed_at":"2026-08-14T14:07:55.286986Z","title":"Brown, Commun","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.286986Z"},"links":{"cited_paper":"/paper/0804.1660","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:f3cc249cb8c60f688b8373eaee2d63c1a2cd0f4562b85efc64f2e6afe327844b","observation_id":"c18b7e4f-fde8-4f83-969c-99b4b49651c4","resolution":{"observed_at":"2026-08-14T14:07:55.286986Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1403.1137","last_updated":"2014-03-05T14:10:09Z","snapshot_observed_at":"2026-08-14T23:42:22.478547Z","submitted_at":"2014-03-05T14:10:09Z","title":"Calculating Massive 3-loop Graphs for Operator Matrix Elements by the Method of Hyperlogarithms","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1403.1137","snapshot_observed_at":"2026-08-14T14:07:55.291384Z","title":"Ablinger, J","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.291384Z"},"links":{"cited_paper":"/paper/1403.1137","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:3a542faecf3c32ebe66a2bfcb1b3acc8ba360aad5cc7f541bce3f9903549ee2f","observation_id":"15d8989c-889d-4af6-939c-b0438894810e","resolution":{"observed_at":"2026-08-14T14:07:55.291384Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1403.3385","last_updated":"2014-03-13T19:48:29Z","snapshot_observed_at":"2026-08-14T23:41:22.492705Z","submitted_at":"2014-03-13T19:48:29Z","title":"Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1403.3385","snapshot_observed_at":"2026-08-14T14:07:55.295504Z","title":"Panzer, Comput","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.295504Z"},"links":{"cited_paper":"/paper/1403.3385","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:87f1af77975085a0ec5c1a8aae3c7e16e059d711eeed8b46692702003ea16019","observation_id":"b02ea421-d08d-49fd-98ce-a966dbc2a9d9","resolution":{"observed_at":"2026-08-14T14:07:55.295504Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9807119","last_updated":"1998-07-29T11:10:02Z","snapshot_observed_at":"2026-08-11T08:28:49.081609Z","submitted_at":"1998-07-17T10:48:06Z","title":"Master Equations for Master Amplitudes","version":2},"cited_work":{"arxiv_id":"hep-th/9807119","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/9807119","snapshot_observed_at":"2026-08-14T14:07:56.254725Z","title":"Master Equations for Master Amplitudes","venue":"hep-th","work_id":"1de6cc38-8a37-499b-9c80-f1869d9f94e4","year":1998},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.300699Z"},"links":{"cited_paper":"/paper/hep-th/9807119","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:d1a677e2d752fb63943f8cbc6b1c5af8d741c3bda61148237379b1563691c0c2","observation_id":"18016458-5a25-489c-ac6a-f4fdc91e173b","resolution":{"observed_at":"2026-08-14T14:07:56.259288Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1810.12261","last_updated":"2018-10-29T17:19:43Z","snapshot_observed_at":"2026-08-14T18:07:40.944826Z","submitted_at":"2018-10-29T17:19:43Z","title":"Automated Solution of First Order Factorizable Systems of Differential Equations in One Variable","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1810.12261","snapshot_observed_at":"2026-08-14T14:07:55.304812Z","title":"Ablinger, J","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.304812Z"},"links":{"cited_paper":"/paper/1810.12261","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:d263603c9aa85041f1ecc3561589c4dae09249c942575abe93eb3addb5f3fdc2","observation_id":"78653ea9-b6dd-40a5-a62c-5a18aeaa3cfc","resolution":{"observed_at":"2026-08-14T14:07:55.304812Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.308826Z","title":"Almkvist and D","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.308826Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:7cd2dc42387d87c0d697b4fac09375bfe072711487059b8cd2a171f609c04e1e","observation_id":"6ef7787a-9a5c-4741-85d0-873fbec91939","resolution":{"observed_at":"2026-08-14T14:07:55.308826Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1305.0687","last_updated":"2013-05-03T12:39:04Z","snapshot_observed_at":"2026-08-15T00:19:03.542828Z","submitted_at":"2013-05-03T12:39:04Z","title":"Computer Algebra Algorithms for Special Functions in Particle Physics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1305.0687","snapshot_observed_at":"2026-08-14T14:07:55.312465Z","title":"Ablinger, Computer Algebra Algorithms for Special Functions in Particle Physics , Ph.D","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.312465Z"},"links":{"cited_paper":"/paper/1305.0687","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:06aaf85309972ae3b28bfb85c8a50b8901e0bf63f8b5a9f257aeacebf223cd2c","observation_id":"8f1a3325-919c-4791-a575-fde8e8979950","resolution":{"observed_at":"2026-08-14T14:07:55.312465Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0511200","last_updated":"2006-01-23T22:19:57Z","snapshot_observed_at":"2026-07-07T04:09:21.779836Z","submitted_at":"2005-11-16T17:11:17Z","title":"Automatized analytic continuation of Mellin-Barnes integrals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0511200","snapshot_observed_at":"2026-08-14T14:07:55.316805Z","title":"Czakon, Comput","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.316805Z"},"links":{"cited_paper":"/paper/hep-ph/0511200","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:89e1f97bc4d1329b1f28ff5b457036f2861215bccb438451d0424b7687e72c89","observation_id":"bc99bdc0-b440-420d-81e6-4c941efb9be6","resolution":{"observed_at":"2026-08-14T14:07:55.316805Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.320961Z","title":null,"venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.320961Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:1797617e8c9f73b4ed14e5813f01a449ecc23133114867ebb3b23b7ee01635a5","observation_id":"76383e1a-136a-4cc8-8a26-12e0c9771b27","resolution":{"observed_at":"2026-08-14T14:07:55.320961Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.325233Z","title":"Schneider, Symbolic Summation in Difference Fields Ph.D","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.325233Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:f52ed819f148a96466880662d922a1326438d87bda6989e38d34cc13bcc7fb99","observation_id":"cb8436d9-c26c-4373-85b0-2ee63401cb4f","resolution":{"observed_at":"2026-08-14T14:07:55.325233Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.330259Z","title":"Schneider, Difference Equations in ΠΣ-Extensions","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.330259Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:86970c5d4fb0992a995a9a5f83d225a85946dbe45dc2c39b68cfb1f9787ab87c","observation_id":"12c03193-d92c-46b7-a42b-76145a8e4d8d","resolution":{"observed_at":"2026-08-14T14:07:55.330259Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.334150Z","title":"Schneider, J","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.334150Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:b328e6cd71a59830d2a66e547e8c2588fb4c9477fcfc35b9400f22acad886762","observation_id":"9de16a03-5062-42be-a585-c4ca8266eed3","resolution":{"observed_at":"2026-08-14T14:07:55.334150Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0904.2323","last_updated":"2009-04-15T14:00:07Z","snapshot_observed_at":"2026-08-15T05:50:30.031347Z","submitted_at":"2009-04-15T14:00:07Z","title":"A Symbolic Summation Approach to Find Optimal Nested Sum Representations","version":1},"cited_work":{"arxiv_id":"0904.2323","doi":null,"metadata_source":"pith","pith_arxiv_id":"0904.2323","snapshot_observed_at":"2026-08-14T14:07:56.194484Z","title":"A Symbolic Summation Approach to Find Optimal Nested Sum Representations","venue":"cs.SC","work_id":"e2b19d1e-48e5-4a6b-b9e4-7468a45aeede","year":2009},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.337710Z"},"links":{"cited_paper":"/paper/0904.2323","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:ddd38ca07914833624c3c55a08b645acb3267dbe91969a03de1399845ed70b69","observation_id":"0ae9e578-e974-4bd4-a772-0e38e1c19b79","resolution":{"observed_at":"2026-08-14T14:07:56.199558Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0808.2596","last_updated":"2008-08-19T13:58:01Z","snapshot_observed_at":"2026-08-15T10:08:39.955534Z","submitted_at":"2008-08-19T13:58:01Z","title":"Parameterized Telescoping Proves Algebraic Independence of Sums","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0808.2596","snapshot_observed_at":"2026-08-14T14:07:55.341928Z","title":"Schneider, Ann","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.341928Z"},"links":{"cited_paper":"/paper/0808.2596","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:43bc2b7bbc04e3eec91bd04ccdcc2819c62f51ff36aab7b5de6642ff71ce3de5","observation_id":"28b0e985-ac0c-494c-b3ad-9b957232de06","resolution":{"observed_at":"2026-08-14T14:07:55.341928Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.346279Z","title":"Schneider, in: Computer Algebra and Polynomials, Applications of Algebra and Number Theory, J","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.346279Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:bd9671fb62ee2344862ec5829845b28b414c93e5155851f003bf15ba57274de8","observation_id":"9b3bf49f-a125-44b9-a89d-3b9de5cb7d06","resolution":{"observed_at":"2026-08-14T14:07:55.346279Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0808.2543","last_updated":"2008-08-19T07:46:04Z","snapshot_observed_at":"2026-08-15T10:08:41.622310Z","submitted_at":"2008-08-19T07:46:04Z","title":"A Refined Difference Field Theory for Symbolic Summation","version":1},"cited_work":{"arxiv_id":"0808.2543","doi":null,"metadata_source":"pith","pith_arxiv_id":"0808.2543","snapshot_observed_at":"2026-08-14T14:07:56.164141Z","title":"A Refined Difference Field Theory for Symbolic Summation","venue":"cs.SC","work_id":"31164c9f-a20b-45b3-ab1d-f6988b808248","year":2008},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.350031Z"},"links":{"cited_paper":"/paper/0808.2543","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:b68a490c21b16dd9d040a7940fe47513aeb0a526133555dcde800d770014c518","observation_id":"8bd37069-6b87-412a-821f-a725d05148fe","resolution":{"observed_at":"2026-08-14T14:07:56.168851Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1006.4797","last_updated":"2010-06-24T14:15:04Z","snapshot_observed_at":"2026-08-15T05:15:25.750214Z","submitted_at":"2010-06-24T14:15:04Z","title":"Modern Summation Methods and the Computation of 2- and 3-loop Feynman Diagrams","version":1},"cited_work":{"arxiv_id":"1006.4797","doi":null,"metadata_source":"pith","pith_arxiv_id":"1006.4797","snapshot_observed_at":"2026-08-14T14:07:56.141846Z","title":"Modern Summation Methods and the Computation of 2- and 3-loop Feynman Diagrams","venue":"math-ph","work_id":"fd7d44cc-f549-4836-9390-13ef6974961f","year":2010},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.353910Z"},"links":{"cited_paper":"/paper/1006.4797","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:f8e508cc4dc8fee0d0585b403de94d2cb975dc92924758ada02cf30e10a6d11e","observation_id":"a303cd54-d44b-467d-9539-d6bc5b489a16","resolution":{"observed_at":"2026-08-14T14:07:56.146214Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9806280","last_updated":"1998-06-05T14:31:34Z","snapshot_observed_at":"2026-08-02T21:48:59.963685Z","submitted_at":"1998-06-05T14:31:34Z","title":"Harmonic sums, Mellin transforms and Integrals","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9806280","snapshot_observed_at":"2026-08-14T14:07:55.358060Z","title":"Vermaseren, Int","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.358060Z"},"links":{"cited_paper":"/paper/hep-ph/9806280","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:9882e567b7a7bbb2dadae63866e96e66ce67324ee4c60ffef7e8b716d3c3aaf8","observation_id":"f3a3bb03-8890-476d-a253-e21dfa6394d9","resolution":{"observed_at":"2026-08-14T14:07:55.358060Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9810241","last_updated":"2000-08-31T14:55:23Z","snapshot_observed_at":"2026-07-07T04:30:58.271446Z","submitted_at":"1998-10-05T09:14:49Z","title":"Harmonic Sums and Mellin Transforms up to two-loop Order","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9810241","snapshot_observed_at":"2026-08-14T14:07:55.362186Z","title":"Bl ¨umlein and S","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.362186Z"},"links":{"cited_paper":"/paper/hep-ph/9810241","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:a1804c0f46634e6e2f19a5b0c18f06be35f327b3bfb93cd0d64e319a764a6aaf","observation_id":"e891bbb6-f187-44cf-b8fd-6c4199a729b0","resolution":{"observed_at":"2026-08-14T14:07:55.362186Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1407.6180","last_updated":"2014-07-23T11:33:32Z","snapshot_observed_at":"2026-08-15T03:29:24.826461Z","submitted_at":"2014-07-23T11:33:32Z","title":"The package HarmonicSums: Computer Algebra and Analytic aspects of Nested Sums","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1407.6180","snapshot_observed_at":"2026-08-14T14:07:55.366343Z","title":"Kepler University Linz, 2009, arXiv:1011.1176 [math-ph]","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.366343Z"},"links":{"cited_paper":"/paper/1407.6180","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:8ba9410dcfa9af41acf5a8fb4025c163322796554d3778e4457dcaca2d9ce911","observation_id":"7aa7b109-8cc1-4e66-939b-f36dcb8e2195","resolution":{"observed_at":"2026-08-14T14:07:55.366343Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1105.6063","last_updated":"2011-05-30T18:36:33Z","snapshot_observed_at":"2026-08-15T04:45:15.767938Z","submitted_at":"2011-05-30T18:36:33Z","title":"Harmonic Sums and Polylogarithms Generated by Cyclotomic Polynomials","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1105.6063","snapshot_observed_at":"2026-08-14T14:07:55.370675Z","title":"Ablinger, J","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.370675Z"},"links":{"cited_paper":"/paper/1105.6063","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:fa723e296710f3b9ceee9dec8d7e46f0e81bbde99607ed6070b1b3845a6546f6","observation_id":"69c32383-ced2-4225-9e35-a9a4c9be961b","resolution":{"observed_at":"2026-08-14T14:07:55.370675Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1302.0378","last_updated":"2013-02-02T13:27:33Z","snapshot_observed_at":"2026-08-15T00:30:10.899892Z","submitted_at":"2013-02-02T13:27:33Z","title":"Analytic and Algorithmic Aspects of Generalized Harmonic Sums and Polylogarithms","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1302.0378","snapshot_observed_at":"2026-08-14T14:07:55.374764Z","title":"Ablinger, J","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.374764Z"},"links":{"cited_paper":"/paper/1302.0378","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:04baed1cf22653a8bbf57f7e829f955260324e868fdac4703cb2a3e37821dd67","observation_id":"e5367521-ea32-42ec-8087-d8215514b652","resolution":{"observed_at":"2026-08-14T14:07:55.374764Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1407.1822","last_updated":"2014-07-03T12:23:35Z","snapshot_observed_at":"2026-08-14T23:28:04.981692Z","submitted_at":"2014-07-03T12:23:35Z","title":"Iterated Binomial Sums and their Associated Iterated Integrals","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1407.1822","snapshot_observed_at":"2026-08-14T14:07:55.378717Z","title":"Ablinger, J","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.378717Z"},"links":{"cited_paper":"/paper/1407.1822","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:4b8cd669bd0ba97a0cfc42c1991ff9cb0c127e9138fb51c4f257d6296c004f40","observation_id":"0baa36c1-9c5f-41ec-a57a-1ec07528db76","resolution":{"observed_at":"2026-08-14T14:07:55.378717Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1706.01299","last_updated":"2017-06-05T12:52:32Z","snapshot_observed_at":"2026-08-14T20:56:04.627859Z","submitted_at":"2017-06-05T12:52:32Z","title":"Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1706.01299","snapshot_observed_at":"2026-08-14T14:07:55.382982Z","title":"Ablinger, J","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.382982Z"},"links":{"cited_paper":"/paper/1706.01299","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:ec6d085d021f7f0c9206a284e9845906af966353e0f085797ad3b24a18de5011","observation_id":"2e6edd5e-8ffc-4ef1-a700-47e75c50ac47","resolution":{"observed_at":"2026-08-14T14:07:55.382982Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1807.05287","last_updated":"2018-07-13T21:32:54Z","snapshot_observed_at":"2026-08-14T18:52:07.089777Z","submitted_at":"2018-07-13T21:32:54Z","title":"The $\\rho$ parameter at three loops and elliptic integrals","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1807.05287","snapshot_observed_at":"2026-08-14T14:07:55.387556Z","title":"Bl ¨umlein, A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.387556Z"},"links":{"cited_paper":"/paper/1807.05287","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:83a16ec9cff05f4075a517f8b6eed04344f6ba7b40716b870036236029bde6ee","observation_id":"0e49bcc7-02fc-46b8-a2d3-596e80baabef","resolution":{"observed_at":"2026-08-14T14:07:55.387556Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1711.07957","last_updated":"2017-11-21T18:34:10Z","snapshot_observed_at":"2026-08-14T20:11:22.347319Z","submitted_at":"2017-11-21T18:34:10Z","title":"Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering: Recent Results","version":1},"cited_work":{"arxiv_id":"1711.07957","doi":null,"metadata_source":"pith","pith_arxiv_id":"1711.07957","snapshot_observed_at":"2026-08-14T14:07:56.020828Z","title":"Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering: Recent Results","venue":"hep-ph","work_id":"f62af974-7fce-441a-beff-ae0003b19993","year":2017},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.392469Z"},"links":{"cited_paper":"/paper/1711.07957","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:74d7363e666df079faec0a570a757661cec3c11bbb65792feb146a8bf7f9bd72","observation_id":"a14bebeb-0751-41ff-9907-3015b4a5363b","resolution":{"observed_at":"2026-08-14T14:07:56.026028Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0902.4091","last_updated":"2009-02-24T16:41:37Z","snapshot_observed_at":"2026-08-15T05:54:18.560767Z","submitted_at":"2009-02-24T16:41:37Z","title":"Determining the closed forms of the $O(a_s^3)$ anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0902.4091","snapshot_observed_at":"2026-08-14T14:07:55.398197Z","title":"Bl ¨umlein, M","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.398197Z"},"links":{"cited_paper":"/paper/0902.4091","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:36ef8c673f1e36cdd8f30c22891bfd055f932adeb6e0ccc6ee2864e7eb92b0ca","observation_id":"ecd7474f-2461-4837-85f5-4f3f48fc4f8c","resolution":{"observed_at":"2026-08-14T14:07:55.398197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.402731Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.402731Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:4718b1164d710c8e12deea7bbf1c279fad067917e83e9aee3d77ecd83c007bbc","observation_id":"d8155c1f-8bef-40d7-802a-11f5e62d28f3","resolution":{"observed_at":"2026-08-14T14:07:55.402731Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1306.4263","last_updated":"2013-06-18T16:34:18Z","snapshot_observed_at":"2026-08-15T00:13:39.060068Z","submitted_at":"2013-06-18T16:34:18Z","title":"Ore Polynomials in Sage","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1306.4263","snapshot_observed_at":"2026-08-14T14:07:55.407243Z","title":"Kauers, M","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.407243Z"},"links":{"cited_paper":"/paper/1306.4263","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:1a4acb07d29971dcbd3c13c88cfdbb0cf66d9445b69d4e427f45ee3a6dcb24b2","observation_id":"bb4be5bf-331a-434c-9a8a-e865ad295b93","resolution":{"observed_at":"2026-08-14T14:07:55.407243Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0311046","last_updated":"2003-11-04T13:30:16Z","snapshot_observed_at":"2026-08-04T02:11:01.493889Z","submitted_at":"2003-11-04T13:30:16Z","title":"Algebraic Relations Between Harmonic Sums and Associated Quantities","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0311046","snapshot_observed_at":"2026-08-14T14:07:55.411432Z","title":"Bl ¨umlein, Comput","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.411432Z"},"links":{"cited_paper":"/paper/hep-ph/0311046","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:fd41b9117db9895a21ae0f448af03c45e673ca0fbde8b2108d3078d18d2c6ec4","observation_id":"5df8430f-c3b2-4f67-9f3b-1b587cbc6a21","resolution":{"observed_at":"2026-08-14T14:07:55.411432Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.416611Z","title":"Gross and F","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.416611Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:c663719769154f39969e1faaae0cb34549bd592e23f884433fcee81dc522b97b","observation_id":"81f70a37-8e07-4909-8791-3533c0bb54ff","resolution":{"observed_at":"2026-08-14T14:07:55.416611Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.420281Z","title":"Georgi and H.D","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.420281Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:4f16c4a85f8712891e7fe02b3f8ea8a2e33dd7a42a2094d09f65c7d2baf5aa1d","observation_id":"ea005127-553b-4e75-a939-26ec810c2afb","resolution":{"observed_at":"2026-08-14T14:07:55.420281Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.423442Z","title":"Sasaki, Prog","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.423442Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:38fab0f71092e4c2b98305aac6ac3e94c64b2cb0a72846f87334472f1bad9fac","observation_id":"eeae1185-0d2a-41bd-b835-1a08862f89c7","resolution":{"observed_at":"2026-08-14T14:07:55.423442Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.426686Z","title":"Ahmed and G.G","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.426686Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:990c8b52e6b2168989c858b2243f21a4f9b64beeabb275d2cdfa54e3b29e2fe1","observation_id":"8c14fd5f-25d2-4671-9991-5d6ab5fbca2d","resolution":{"observed_at":"2026-08-14T14:07:55.426686Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.430101Z","title":"Altarelli and G","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.430101Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:cfffd5116679ad9e900c32b244e32ac14901b14be62025ccec2948f6a25fe178","observation_id":"96761f41-dff1-46b7-91a3-074c2c1d7500","resolution":{"observed_at":"2026-08-14T14:07:55.430101Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.434000Z","title":"Ito, Prog","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.434000Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:16082af473254ee5fb5cb388942c3a95efd60f070cd3b8e21d61eb8f9b383735","observation_id":"42c26366-2ad7-4bbf-b435-1d1d9b70afcf","resolution":{"observed_at":"2026-08-14T14:07:55.434000Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1208.6087","last_updated":"2012-11-30T10:23:10Z","snapshot_observed_at":"2026-08-15T00:48:25.884419Z","submitted_at":"2012-08-30T07:01:33Z","title":"The Theory of Deeply Inelastic Scattering","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1208.6087","snapshot_observed_at":"2026-08-14T14:07:55.437024Z","title":"Bl ¨umlein, Prog","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.437024Z"},"links":{"cited_paper":"/paper/1208.6087","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:1b74b96fac3e7578637058a5b95a8ae70cdfea2bc2f4454e7aa7a69c37b8ae43","observation_id":"1c733d00-1e31-45c6-b7b3-6670cfaec574","resolution":{"observed_at":"2026-08-14T14:07:55.437024Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.440357Z","title":"Floratos, D","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.440357Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:bbd7f0990d198675c954934a3669429661703beaccbecca35639c2e19b606da7","observation_id":"8f4875d6-53b7-46ae-889e-5da85596c263","resolution":{"observed_at":"2026-08-14T14:07:55.440357Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.444526Z","title":"Curci, W","venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.444526Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:41816918d8ef51e5f3ac13cf8521c2aeaca3cb3a365dd9da1962588cf5eef05b","observation_id":"742b1791-0c07-4d22-b72a-d3c5e9d255d9","resolution":{"observed_at":"2026-08-14T14:07:55.444526Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.448222Z","title":"Gonzalez-Arroyo, C","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.448222Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:d51c5fa5654933b429d19353d20efad5a162b7f83c5fb52655e1900230a30ae5","observation_id":"357b0e98-5453-40c8-92df-7def44235a58","resolution":{"observed_at":"2026-08-14T14:07:55.448222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9912355","last_updated":"1999-12-15T14:37:37Z","snapshot_observed_at":"2026-07-07T04:35:22.917311Z","submitted_at":"1999-12-15T14:37:37Z","title":"Deep Inelastic Structure Functions at two Loops","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9912355","snapshot_observed_at":"2026-08-14T14:07:55.451851Z","title":"Moch and J.A.M","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.451851Z"},"links":{"cited_paper":"/paper/hep-ph/9912355","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:dba73f29ffe2e1967238c8b58775082b66f8f347d75fd58fc18d19ade436de7f","observation_id":"cfb24019-a3c7-44d6-973f-9acbfc7f76b6","resolution":{"observed_at":"2026-08-14T14:07:55.451851Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.455703Z","title":"Gross and F","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.455703Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:bed1a68382f1b417a67175a46cacd14ac34e78fc34c488645042d629afe7e66d","observation_id":"543b1333-ed79-46bc-b2d5-2819a05c7563","resolution":{"observed_at":"2026-08-14T14:07:55.455703Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.459210Z","title":"Politzer, Phys","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.459210Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:5033f1ccdce134114009aab2fafa6a55e928a36dec69c8a14121a83f97585ddb","observation_id":"bd7ddb0d-c5c2-4025-9329-125351cd736b","resolution":{"observed_at":"2026-08-14T14:07:55.459210Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.463190Z","title":"Caswell, Phys","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.463190Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:56ceac56ebd9ca287f4b93105cbea3c8dd1b8abd93fcfef10ebfdd849653f6ff","observation_id":"ce7005b8-02f8-41a1-ae18-76ff6df03d89","resolution":{"observed_at":"2026-08-14T14:07:55.463190Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.467225Z","title":"Jones, Nucl","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.467225Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:35ea7147e0ee201d31a933078dc09aec248cc6181a5951f6ef0aa41dc019c0da","observation_id":"5ec778d7-2930-4520-9ea2-bcea042e34ae","resolution":{"observed_at":"2026-08-14T14:07:55.467225Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:07:55.472005Z","title":"Tarasov, A.A","venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.472005Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:76c46629e35c1d9c4db244bce2251a1853fa8ac2802811c17428781fc7f61ef4","observation_id":"91b97f63-ec50-4141-a16f-8ad1ed981c0b","resolution":{"observed_at":"2026-08-14T14:07:55.472005Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9302208","last_updated":"1993-02-03T14:26:25Z","snapshot_observed_at":"2026-07-30T11:46:33.108369Z","submitted_at":"1993-02-03T14:26:25Z","title":"The three-loop QCD $\\beta$-function and anomalous dimensions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9302208","snapshot_observed_at":"2026-08-14T14:07:55.475972Z","title":"Larin and J.A.M","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.475972Z"},"links":{"cited_paper":"/paper/hep-ph/9302208","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:330a50934b72f46feb79a64fea69b434c64aba6d5618f865e94490c4b04c8c62","observation_id":"dc0eba0e-638c-4406-9c10-4a76a815397f","resolution":{"observed_at":"2026-08-14T14:07:55.475972Z","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":"2026-08-14T14:07:57.256458Z","title":"Fadin, E.A","venue":null,"work_id":"5db5acb3-0464-44f4-882a-9b9ff8c262ef","year":1975},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.480247Z"},"links":{"citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:592089e513fe9774f817172e87e34acd19eb98c9e9e314dbf134b89945d5196f","observation_id":"23e3360d-a4c0-4a21-b9ef-d2b3e5188ff6","resolution":{"observed_at":"2026-08-14T14:07:57.260897Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9802290","last_updated":"1998-03-31T12:41:06Z","snapshot_observed_at":"2026-07-07T04:28:20.832511Z","submitted_at":"1998-02-10T15:59:27Z","title":"BFKL pomeron in the next-to-leading approximation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9802290","snapshot_observed_at":"2026-08-14T14:07:55.484245Z","title":"Fadin and L.N","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements","version":1},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-14T14:07:55.484245Z"},"links":{"cited_paper":"/paper/hep-ph/9802290","citing_paper":"/paper/1908.03779"},"observation_digest":"sha256:7896a9666d504eeff75a20f5e7263545c964806f37df9ab44ff1ff937d0745e5","observation_id":"55d05914-87f7-4c10-beed-53d7fc366cfc","resolution":{"observed_at":"2026-08-14T14:07:55.484245Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"1908.03779","last_updated":"2019-08-10T16:40:04Z","latest_version":1,"primary_category":"hep-ph","snapshot_observed_at":"2026-08-15T06:47:41.285161Z","submitted_at":"2019-08-10T16:40:04Z","title":"The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":83,"verified_exact":15,"verified_fuzzy":1},"total_outbound_references":112},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 100 of 112 outbound references and 1 inbound Pith citation observation for arXiv:1908.03779."}