{"as_of":"2026-08-09T19:27:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:383f00286f2eb9baa61c53ca11d8f62e7977bed376abd293579324d5cc7236d4","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":7,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T15:49:44.950417Z","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":"2026-07-01T17:25:51.988564Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2101.08265","last_updated":"2021-01-20T19:00:00Z","snapshot_observed_at":"2026-08-06T15:39:16.832237Z","submitted_at":"2021-01-20T19:00:00Z","title":"RGBeta: A Mathematica Package for the Evaluation of Renormalization Group $ \\beta $-Functions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2101.08265","snapshot_observed_at":"2026-08-04T06:55:39.011868Z","title":"Introducing RGBeta: a Mathematica package for the evaluation of renormal- ization groupβ-functions","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2511.01971","last_updated":"2026-07-31T14:24:12Z","snapshot_observed_at":"2026-08-09T11:41:45.021040Z","submitted_at":"2025-11-03T19:00:01Z","title":"Gradient RG Flow in Scalar-Fermion QFTs","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-04T06:55:39.011868Z"},"links":{"cited_paper":"/paper/2101.08265","citing_paper":"/paper/2511.01971"},"observation_digest":"sha256:70b77642579170982d4cd4a8c483c66e26213702d16847a375c3c55647c66c81","observation_id":"e6c03196-9c6d-4a36-918b-5ad90c205333","resolution":{"observed_at":"2026-08-04T06:55:39.011868Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2101.08265","last_updated":"2021-01-20T19:00:00Z","snapshot_observed_at":"2026-08-06T15:39:16.832237Z","submitted_at":"2021-01-20T19:00:00Z","title":"RGBeta: A Mathematica Package for the Evaluation of Renormalization Group $ \\beta $-Functions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2101.08265","snapshot_observed_at":"2026-08-03T15:27:36.233018Z","title":"Introducing RGBeta: a Mathematica package for the evaluation of renormalization groupβ-functions,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2512.17235","last_updated":"2026-06-09T01:36:47Z","snapshot_observed_at":"2026-08-07T02:44:21.707060Z","submitted_at":"2025-12-19T04:51:55Z","title":"Running of neutrino mass parameters in the Zee model","version":2},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-03T15:27:36.233018Z"},"links":{"cited_paper":"/paper/2101.08265","citing_paper":"/paper/2512.17235"},"observation_digest":"sha256:d3dfd49e66d7edf176d25357a08a76374a34326d1402799fc6830d7fa8b78c96","observation_id":"b5d20902-4fcf-4bb5-a94a-6384cf82137e","resolution":{"observed_at":"2026-08-03T15:27:36.233018Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2101.08265","last_updated":"2021-01-20T19:00:00Z","snapshot_observed_at":"2026-08-06T15:39:16.832237Z","submitted_at":"2021-01-20T19:00:00Z","title":"RGBeta: A Mathematica Package for the Evaluation of Renormalization Group $ \\beta $-Functions","version":1},"cited_work":{"arxiv_id":"2101.08265","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2101.08265","snapshot_observed_at":"2026-07-01T17:25:51.988564Z","title":"Introducing RGBeta: a Mathematica package for the evaluation of renormalization groupβ-functions","venue":null,"work_id":"23a8aa48-e687-4fb0-a5a8-efa56d167ebd","year":2021},"citing_paper":{"arxiv_id":"2605.08294","last_updated":"2026-05-08T10:07:49Z","snapshot_observed_at":"2026-07-06T23:20:33.816373Z","submitted_at":"2026-05-08T10:07:49Z","title":"Completely asymptotically free chiral theories with scalars","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-05-12T01:49:42.485340Z"},"links":{"cited_paper":"/paper/2101.08265","citing_paper":"/paper/2605.08294"},"observation_digest":"sha256:2f0f7d8046ad4ce2c7439ec8d496e6fb4496ac95b142f7b0a1988c7d4a31a793","observation_id":"5643ed7c-82de-4f9a-a4c6-83c6e402d461","resolution":{"observed_at":"2026-05-12T01:51:14.902215Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2101.08265","last_updated":"2021-01-20T19:00:00Z","snapshot_observed_at":"2026-08-06T15:39:16.832237Z","submitted_at":"2021-01-20T19:00:00Z","title":"RGBeta: A Mathematica Package for the Evaluation of Renormalization Group $ \\beta $-Functions","version":1},"cited_work":{"arxiv_id":"2101.08265","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2101.08265","snapshot_observed_at":"2026-07-01T17:25:51.988564Z","title":"Introducing RGBeta: a Mathematica package for the evaluation of renormalization groupβ-functions","venue":null,"work_id":"23a8aa48-e687-4fb0-a5a8-efa56d167ebd","year":2021},"citing_paper":{"arxiv_id":"2605.20058","last_updated":"2026-05-19T16:15:46Z","snapshot_observed_at":"2026-07-06T23:30:44.092395Z","submitted_at":"2026-05-19T16:15:46Z","title":"Renormalisation and invariants for two U(1)s","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-05-20T04:14:55.158222Z"},"links":{"cited_paper":"/paper/2101.08265","citing_paper":"/paper/2605.20058"},"observation_digest":"sha256:a9ceb88101788c96571b4d18119ea87dab1623c4519b8d5a9cab2f5a4da5c96c","observation_id":"ae172bb6-51e4-451c-a065-8c3c72e8c47e","resolution":{"observed_at":"2026-05-20T04:18:04.074181Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2101.08265","last_updated":"2021-01-20T19:00:00Z","snapshot_observed_at":"2026-08-06T15:39:16.832237Z","submitted_at":"2021-01-20T19:00:00Z","title":"RGBeta: A Mathematica Package for the Evaluation of Renormalization Group $ \\beta $-Functions","version":1},"cited_work":{"arxiv_id":"2101.08265","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2101.08265","snapshot_observed_at":"2026-07-01T17:25:51.988564Z","title":"Introducing RGBeta: a Mathematica package for the evaluation of renormalization groupβ-functions","venue":null,"work_id":"23a8aa48-e687-4fb0-a5a8-efa56d167ebd","year":2021},"citing_paper":{"arxiv_id":"2606.28084","last_updated":"2026-06-26T13:47:34Z","snapshot_observed_at":"2026-08-05T20:04:34.071416Z","submitted_at":"2026-06-26T13:47:34Z","title":"New Solutions of RG Equations for \\alpha_s and y_{top}","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-06-29T03:41:56.634919Z"},"links":{"cited_paper":"/paper/2101.08265","citing_paper":"/paper/2606.28084"},"observation_digest":"sha256:7f9d64faf08864ac7adafd2b075129370fbbdcf36c600ff0070a53313e871f4a","observation_id":"e9bd1de4-0a32-4381-9dc1-111429c72071","resolution":{"observed_at":"2026-07-01T17:25:51.990047Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2101.08265","last_updated":"2021-01-20T19:00:00Z","snapshot_observed_at":"2026-08-06T15:39:16.832237Z","submitted_at":"2021-01-20T19:00:00Z","title":"RGBeta: A Mathematica Package for the Evaluation of Renormalization Group $ \\beta $-Functions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2101.08265","snapshot_observed_at":"2026-08-03T06:02:03.739997Z","title":"Introducing RGBeta: a Mathematica package for the evaluation of renor- malization groupβ-functions,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.29492","last_updated":"2026-07-31T15:01:02Z","snapshot_observed_at":"2026-08-09T02:00:51.014331Z","submitted_at":"2026-07-31T15:01:02Z","title":"The price for monopole dark matter","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-03T06:02:03.739997Z"},"links":{"cited_paper":"/paper/2101.08265","citing_paper":"/paper/2607.29492"},"observation_digest":"sha256:2ffff77ab14bfebfb4d8a5db4e76d0bf354f8ccc48d8853dc9e50db059448ccb","observation_id":"a92b9069-10fc-4c31-bbea-51f11245207f","resolution":{"observed_at":"2026-08-03T06:02:03.739997Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2101.08265","last_updated":"2021-01-20T19:00:00Z","snapshot_observed_at":"2026-08-06T15:39:16.832237Z","submitted_at":"2021-01-20T19:00:00Z","title":"RGBeta: A Mathematica Package for the Evaluation of Renormalization Group $ \\beta $-Functions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2101.08265","snapshot_observed_at":"2026-08-08T15:49:44.950417Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.05304","last_updated":"2026-08-05T18:03:56Z","snapshot_observed_at":"2026-08-09T19:10:58.736181Z","submitted_at":"2026-08-05T18:03:56Z","title":"GOOFy-compatible 3HDMs and beyond","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-08T15:49:44.950417Z"},"links":{"cited_paper":"/paper/2101.08265","citing_paper":"/paper/2608.05304"},"observation_digest":"sha256:a8edd3f38f95d731977b99819d276752ecf8dc8dd931ca1a51e8632d83cf31ac","observation_id":"8769312c-8e2c-45e5-8f7e-bdf66d45e7f6","resolution":{"observed_at":"2026-08-08T15:49:44.950417Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2101.08265/citation-record","integrity":"/paper/2101.08265/integrity","json":"/paper/2101.08265/citation-record.json","paper":"/paper/2101.08265"},"outbound":[],"paper":{"arxiv_id":"2101.08265","last_updated":"2021-01-20T19:00:00Z","latest_version":1,"primary_category":"hep-ph","snapshot_observed_at":"2026-08-06T15:39:16.832237Z","submitted_at":"2021-01-20T19:00:00Z","title":"RGBeta: A Mathematica Package for the Evaluation of Renormalization Group $ \\beta $-Functions"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2101.08265."}