{"as_of":"2026-08-10T05:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4a961990461d8786c7904c823d6c3eaf980da61f888bf763836d47bff3d897d1","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":8,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":8,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":8,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":8,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T05:55:48.781926Z","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":"2026-07-03T14:48:33.675207Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1511.08771","last_updated":"2020-08-17T06:58:25Z","snapshot_observed_at":"2026-08-09T04:05:34.659340Z","submitted_at":"2015-11-25T07:11:52Z","title":"Finite-Dimensional Lie Algebras and Their Representations for Unified Model Building","version":2},"cited_work":{"arxiv_id":"1511.08771","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1511.08771","snapshot_observed_at":"2026-07-03T14:48:33.675207Z","title":"Finite-Dimensional Lie Algebras and Their Represe ntations for Uniﬁed Model Building","venue":null,"work_id":"b2b23046-bf99-4e92-9e2e-e8666a303878","year":null},"citing_paper":{"arxiv_id":"1907.10238","last_updated":"2019-07-24T04:51:42Z","snapshot_observed_at":"2026-08-04T12:00:58.178380Z","submitted_at":"2019-07-24T04:51:42Z","title":"Calculating $\\beta$-function coefficients of Renormalization Group Equations","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-24T17:17:40.676293Z"},"links":{"cited_paper":"/paper/1511.08771","citing_paper":"/paper/1907.10238"},"observation_digest":"sha256:352adc4f6ac09b49642e4b1c3c5a5f19b1dd94e178764b6b11e9c3ac7abf9475","observation_id":"ada62740-9600-420d-90f4-4c2c6464d151","resolution":{"observed_at":"2026-05-24T17:19:44.098262Z","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":"1511.08771","last_updated":"2020-08-17T06:58:25Z","snapshot_observed_at":"2026-08-09T04:05:34.659340Z","submitted_at":"2015-11-25T07:11:52Z","title":"Finite-Dimensional Lie Algebras and Their Representations for Unified Model Building","version":2},"cited_work":{"arxiv_id":"1511.08771","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1511.08771","snapshot_observed_at":"2026-07-03T14:48:33.675207Z","title":"Finite-Dimensional Lie Algebras and Their Represe ntations for Uniﬁed Model Building","venue":null,"work_id":"b2b23046-bf99-4e92-9e2e-e8666a303878","year":null},"citing_paper":{"arxiv_id":"2502.06088","last_updated":"2025-06-03T04:37:35Z","snapshot_observed_at":"2026-07-06T20:33:39.014448Z","submitted_at":"2025-02-10T01:04:42Z","title":"Family Unification in $SO(16)$ Grand Unification","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-05-23T04:29:12.379875Z"},"links":{"cited_paper":"/paper/1511.08771","citing_paper":"/paper/2502.06088"},"observation_digest":"sha256:4efc8743512d6549c05b33810134a5002a49c628f2bb096e407d927c1085e483","observation_id":"88b3bd11-3b91-4f9a-8e9a-92af6adf09f4","resolution":{"observed_at":"2026-05-23T04:32:33.755266Z","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":"1511.08771","last_updated":"2020-08-17T06:58:25Z","snapshot_observed_at":"2026-08-09T04:05:34.659340Z","submitted_at":"2015-11-25T07:11:52Z","title":"Finite-Dimensional Lie Algebras and Their Representations for Unified Model Building","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1511.08771","snapshot_observed_at":"2026-08-08T05:55:48.781926Z","title":"Yamatsu, Finite-Dimensional Lie Algebras and Their Representations for Unified Model Building, [arXiv:1511.08771 [hep-ph]]","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.08250","last_updated":"2025-06-17T08:47:21Z","snapshot_observed_at":"2026-08-08T05:47:53.405555Z","submitted_at":"2025-02-12T09:45:17Z","title":"Models with rank-reducing discrete boundary conditions on $T^2/{\\mathbb Z}_4$","version":3},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-08T05:55:48.781926Z"},"links":{"cited_paper":"/paper/1511.08771","citing_paper":"/paper/2502.08250"},"observation_digest":"sha256:a8238f84e31c68e38f9d36245a3778af1d1de76d97040c411626f974f21333da","observation_id":"60490d89-93b6-41f7-9836-663aac99a093","resolution":{"observed_at":"2026-08-08T05:55:48.781926Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1511.08771","last_updated":"2020-08-17T06:58:25Z","snapshot_observed_at":"2026-08-09T04:05:34.659340Z","submitted_at":"2015-11-25T07:11:52Z","title":"Finite-Dimensional Lie Algebras and Their Representations for Unified Model Building","version":2},"cited_work":{"arxiv_id":"1511.08771","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1511.08771","snapshot_observed_at":"2026-07-03T14:48:33.675207Z","title":"Finite-Dimensional Lie Algebras and Their Represe ntations for Uniﬁed Model Building","venue":null,"work_id":"b2b23046-bf99-4e92-9e2e-e8666a303878","year":null},"citing_paper":{"arxiv_id":"2503.12455","last_updated":"2026-04-05T00:52:52Z","snapshot_observed_at":"2026-07-06T20:53:27.203127Z","submitted_at":"2025-03-16T11:17:51Z","title":"Family Unification in a Six Dimensional Theory with an Orthogonal Gauge Group","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-23T00:39:57.525777Z"},"links":{"cited_paper":"/paper/1511.08771","citing_paper":"/paper/2503.12455"},"observation_digest":"sha256:27d518f6e24c6a5dd55e4f8b475e46d3147dabc6a1780b3b1b9b78c038aec649","observation_id":"d5636901-4419-45b4-a820-9523f7294c90","resolution":{"observed_at":"2026-05-23T00:42:19.167211Z","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":"1511.08771","last_updated":"2020-08-17T06:58:25Z","snapshot_observed_at":"2026-08-09T04:05:34.659340Z","submitted_at":"2015-11-25T07:11:52Z","title":"Finite-Dimensional Lie Algebras and Their Representations for Unified Model Building","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1511.08771","snapshot_observed_at":"2026-08-05T00:05:51.588881Z","title":"Yamatsu (11 2015),arXiv:1511.08771 [hep-ph]","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.06190","last_updated":"2025-09-07T19:59:44Z","snapshot_observed_at":"2026-08-07T14:37:51.873698Z","submitted_at":"2025-09-07T19:59:44Z","title":"To Break or Not to Break: A Review of a No-Go Theorem on Chiral Symmetry Breaking in QCD-like Theories","version":1},"reference_index":147,"source":"pdf_text","source_observed_at":"2026-08-05T00:05:51.588881Z"},"links":{"cited_paper":"/paper/1511.08771","citing_paper":"/paper/2509.06190"},"observation_digest":"sha256:428356df3d2e4c2c2deaa6c7d9c8ce502a9f29a3a5e4abe4ff988557bcff711c","observation_id":"552bb8ee-ac18-441b-ade2-7fcbfbe70eff","resolution":{"observed_at":"2026-08-05T00:05:51.588881Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1511.08771","last_updated":"2020-08-17T06:58:25Z","snapshot_observed_at":"2026-08-09T04:05:34.659340Z","submitted_at":"2015-11-25T07:11:52Z","title":"Finite-Dimensional Lie Algebras and Their Representations for Unified Model Building","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1511.08771","snapshot_observed_at":"2026-08-04T05:49:58.329536Z","title":"Finite-Dimensional Lie Algebras and Their Representations for Uni- fied Model Building","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2603.19878","last_updated":"2026-08-03T02:06:24Z","snapshot_observed_at":"2026-08-09T21:28:54.625146Z","submitted_at":"2026-03-20T11:45:01Z","title":"Gauss law constraint in A-theory branes","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-04T05:49:58.329536Z"},"links":{"cited_paper":"/paper/1511.08771","citing_paper":"/paper/2603.19878"},"observation_digest":"sha256:8d7f6514bd0fee6e1e9808e5aea95163e640da9915e7df6994f2c5b1705aa06f","observation_id":"5fb8b399-e1ba-4d9b-bf41-41791caea454","resolution":{"observed_at":"2026-08-04T05:49:58.329536Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1511.08771","last_updated":"2020-08-17T06:58:25Z","snapshot_observed_at":"2026-08-09T04:05:34.659340Z","submitted_at":"2015-11-25T07:11:52Z","title":"Finite-Dimensional Lie Algebras and Their Representations for Unified Model Building","version":2},"cited_work":{"arxiv_id":"1511.08771","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1511.08771","snapshot_observed_at":"2026-07-03T14:48:33.675207Z","title":"Finite-Dimensional Lie Algebras and Their Represe ntations for Uniﬁed Model Building","venue":null,"work_id":"b2b23046-bf99-4e92-9e2e-e8666a303878","year":null},"citing_paper":{"arxiv_id":"2604.26010","last_updated":"2026-04-28T18:00:04Z","snapshot_observed_at":"2026-07-06T23:11:43.764239Z","submitted_at":"2026-04-28T18:00:04Z","title":"Specially Embedding a Composite Axion Model","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-05-07T15:39:24.889573Z"},"links":{"cited_paper":"/paper/1511.08771","citing_paper":"/paper/2604.26010"},"observation_digest":"sha256:2156e8bbd6024a4628216df5be6475fc4b257811ff15f116a650081af324c3cb","observation_id":"b2c0c13c-1594-4c0d-bd90-e38fccbbde63","resolution":{"observed_at":"2026-05-12T00:11:19.559596Z","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":"1511.08771","last_updated":"2020-08-17T06:58:25Z","snapshot_observed_at":"2026-08-09T04:05:34.659340Z","submitted_at":"2015-11-25T07:11:52Z","title":"Finite-Dimensional Lie Algebras and Their Representations for Unified Model Building","version":2},"cited_work":{"arxiv_id":"1511.08771","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1511.08771","snapshot_observed_at":"2026-07-03T14:48:33.675207Z","title":"Finite-Dimensional Lie Algebras and Their Represe ntations for Uniﬁed Model Building","venue":null,"work_id":"b2b23046-bf99-4e92-9e2e-e8666a303878","year":null},"citing_paper":{"arxiv_id":"2606.12874","last_updated":"2026-06-11T04:02:17Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2026-06-11T04:02:17Z","title":"A simple solution to the monopole problem: SU(5) GUT with symmetry breaking into special subgroup","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-06-27T06:51:47.703808Z"},"links":{"cited_paper":"/paper/1511.08771","citing_paper":"/paper/2606.12874"},"observation_digest":"sha256:7d9a187b22e8c1cc7932a96dfef92b6d3ac61b6c1d326333090b5c3aa0a7dfc5","observation_id":"fc44065a-edba-412b-8124-f4ce9e279eb2","resolution":{"observed_at":"2026-07-03T14:48:33.679093Z","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"}}],"links":{"evidence":"/evidence","html":"/paper/1511.08771/citation-record","integrity":"/paper/1511.08771/integrity","json":"/paper/1511.08771/citation-record.json","paper":"/paper/1511.08771"},"outbound":[],"paper":{"arxiv_id":"1511.08771","last_updated":"2020-08-17T06:58:25Z","latest_version":2,"primary_category":"hep-ph","snapshot_observed_at":"2026-08-09T04:05:34.659340Z","submitted_at":"2015-11-25T07:11:52Z","title":"Finite-Dimensional Lie Algebras and Their Representations for Unified Model Building"},"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 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:1511.08771."}