{"as_of":"2026-08-12T06:21:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a1429f9609bd0565a9f23a9364383d830e95fcfdeb87ce43d96c071b93c1d865","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":"2026-08-11T06:34:44.6726+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":"2026-08-06T16:25:17.958481Z","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":"2026-06-30T03:24:12.900789Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2409.07051","last_updated":"2024-09-11T06:54:14Z","snapshot_observed_at":"2026-08-10T12:41:24.846202Z","submitted_at":"2024-09-11T06:54:14Z","title":"Proof of the geometric Langlands conjecture III: compatibility with parabolic induction","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.07051","snapshot_observed_at":"2026-08-06T16:25:17.958481Z","title":"Proof of the geometric Langlands conjecture III: compatibility with parabolic induction","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.13930","last_updated":"2025-07-29T11:11:35Z","snapshot_observed_at":"2026-08-09T20:28:01.216600Z","submitted_at":"2025-07-18T14:07:10Z","title":"Parabolic geometric Eisenstein series and constant term functors","version":2},"reference_index":2006,"source":"pdf_text","source_observed_at":"2026-08-06T16:25:17.958481Z"},"links":{"cited_paper":"/paper/2409.07051","citing_paper":"/paper/2507.13930"},"observation_digest":"sha256:b8a3da951e5fc169018c7b49087e5aaa4ae4b874c98924b5a5dfc3bd6d7859c9","observation_id":"fa588b32-95f9-4c84-b84f-20f300bc7b28","resolution":{"observed_at":"2026-08-06T16:25:17.958481Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.07051","last_updated":"2024-09-11T06:54:14Z","snapshot_observed_at":"2026-08-10T12:41:24.846202Z","submitted_at":"2024-09-11T06:54:14Z","title":"Proof of the geometric Langlands conjecture III: compatibility with parabolic induction","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.07051","snapshot_observed_at":"2026-08-05T16:07:29.684371Z","title":"Proof of the geometric langlands conjecture iii: compatibility with parabolic induction","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.19058","last_updated":"2025-08-26T14:17:36Z","snapshot_observed_at":"2026-08-11T14:24:23.488949Z","submitted_at":"2025-08-26T14:17:36Z","title":"Non-vanishing of quantum geometric Whittaker coefficients","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-05T16:07:29.684371Z"},"links":{"cited_paper":"/paper/2409.07051","citing_paper":"/paper/2508.19058"},"observation_digest":"sha256:2eec58afaf761277aeeb87e2e25f172138ebacbc2c45c7d53b073cf5313a0cdf","observation_id":"1aba585c-ca6c-4c89-9e1b-e0363c58da4f","resolution":{"observed_at":"2026-08-05T16:07:29.684371Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.07051","last_updated":"2024-09-11T06:54:14Z","snapshot_observed_at":"2026-08-10T12:41:24.846202Z","submitted_at":"2024-09-11T06:54:14Z","title":"Proof of the geometric Langlands conjecture III: compatibility with parabolic induction","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.07051","snapshot_observed_at":"2026-08-05T10:19:30.760577Z","title":"[CS19] Dustin Clausen and Peter Scholze.Lectures on condensed mathematics","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.04341","last_updated":"2025-09-05T06:26:38Z","snapshot_observed_at":"2026-08-09T20:29:22.985587Z","submitted_at":"2025-09-04T15:59:55Z","title":"An axiomatic approach to analytic $1$-affineness","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T10:19:30.760577Z"},"links":{"cited_paper":"/paper/2409.07051","citing_paper":"/paper/2509.04341"},"observation_digest":"sha256:2985cfab8b94eb1581122835b3b99ccc3f66ddbe7956bf25a9312c806eec2d0d","observation_id":"3fea6983-db30-465b-9486-be06855c24dd","resolution":{"observed_at":"2026-08-05T10:19:30.760577Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.07051","last_updated":"2024-09-11T06:54:14Z","snapshot_observed_at":"2026-08-10T12:41:24.846202Z","submitted_at":"2024-09-11T06:54:14Z","title":"Proof of the geometric Langlands conjecture III: compatibility with parabolic induction","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.07051","snapshot_observed_at":"2026-08-03T09:46:26.554725Z","title":"Proof of the geometric langlands conjecture iii: compatibility with parabolic induction,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2601.13467","last_updated":"2026-06-10T06:33:18Z","snapshot_observed_at":"2026-08-10T15:45:54.677986Z","submitted_at":"2026-01-19T23:41:35Z","title":"Quantum Entanglement, Stratified Spaces, and Topological Matter: Towards Entanglement-Sensitive Langlands Data","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-03T09:46:26.554725Z"},"links":{"cited_paper":"/paper/2409.07051","citing_paper":"/paper/2601.13467"},"observation_digest":"sha256:b550f5932ff1e2a270470a78808c42b0b501d96e250fcc58c292c2dda2d07085","observation_id":"ee1e8fea-e2ad-4f83-a94b-e583b0963a90","resolution":{"observed_at":"2026-08-03T09:46:26.554725Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.07051","last_updated":"2024-09-11T06:54:14Z","snapshot_observed_at":"2026-08-10T12:41:24.846202Z","submitted_at":"2024-09-11T06:54:14Z","title":"Proof of the geometric Langlands conjecture III: compatibility with parabolic induction","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.07051","snapshot_observed_at":"2026-08-03T03:03:53.982203Z","title":"Ben-Zvi and D","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2602.09359","last_updated":"2026-06-10T23:46:27Z","snapshot_observed_at":"2026-08-03T03:03:32.604838Z","submitted_at":"2026-02-10T03:09:15Z","title":"A proof of Dolbeault geometric Langlands for $\\mathrm{GL}_2$ with reduced spectral curves","version":3},"reference_index":258,"source":"pdf_text","source_observed_at":"2026-08-03T03:03:53.982203Z"},"links":{"cited_paper":"/paper/2409.07051","citing_paper":"/paper/2602.09359"},"observation_digest":"sha256:c1b666782bfdc214861783f32d917a7474cfe18879dbb55de8e98fd211689025","observation_id":"e08eeddc-f96b-4682-8612-0eb010fe00fb","resolution":{"observed_at":"2026-08-03T03:03:53.982203Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.07051","last_updated":"2024-09-11T06:54:14Z","snapshot_observed_at":"2026-08-10T12:41:24.846202Z","submitted_at":"2024-09-11T06:54:14Z","title":"Proof of the geometric Langlands conjecture III: compatibility with parabolic induction","version":1},"cited_work":{"arxiv_id":"2409.07051","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.07051","snapshot_observed_at":"2026-06-30T03:24:12.900789Z","title":"Proof of the geometric langlands conjecture iii: compatibility with parabolic induction","venue":null,"work_id":"2c0bb619-6724-4205-ab76-420e204709a1","year":2024},"citing_paper":{"arxiv_id":"2605.25976","last_updated":"2026-05-25T15:50:11Z","snapshot_observed_at":"2026-07-06T23:35:50.787324Z","submitted_at":"2026-05-25T15:50:11Z","title":"Semiorthogonal decompositions for stacks","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:33.636561Z"},"links":{"cited_paper":"/paper/2409.07051","citing_paper":"/paper/2605.25976"},"observation_digest":"sha256:4980c15e4cdae8390c288a283e26fbfa10f2d1dcb054aa4cb3626dbd05b74670","observation_id":"8140d33a-bd18-4a8d-9274-edd25b76a818","resolution":{"observed_at":"2026-06-30T00:14:04.877856Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.07051","last_updated":"2024-09-11T06:54:14Z","snapshot_observed_at":"2026-08-10T12:41:24.846202Z","submitted_at":"2024-09-11T06:54:14Z","title":"Proof of the geometric Langlands conjecture III: compatibility with parabolic induction","version":1},"cited_work":{"arxiv_id":"2409.07051","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.07051","snapshot_observed_at":"2026-06-30T03:24:12.900789Z","title":"Proof of the geometric langlands conjecture iii: compatibility with parabolic induction","venue":null,"work_id":"2c0bb619-6724-4205-ab76-420e204709a1","year":2024},"citing_paper":{"arxiv_id":"2606.29585","last_updated":"2026-06-28T19:58:33Z","snapshot_observed_at":"2026-08-07T03:54:45.383186Z","submitted_at":"2026-06-28T19:58:33Z","title":"Quantum Betti geometric Langlands functor","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-06-30T01:42:25.827250Z"},"links":{"cited_paper":"/paper/2409.07051","citing_paper":"/paper/2606.29585"},"observation_digest":"sha256:4ee4b76a3f6b6fad13233aefec2ec62c863f9d9aff38cce538a2c9d3d5c0e905","observation_id":"97f01ecb-043b-4a6a-8ee2-d54728e292e4","resolution":{"observed_at":"2026-06-30T03:24:12.919130Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2409.07051/citation-record","integrity":"/paper/2409.07051/integrity","json":"/paper/2409.07051/citation-record.json","paper":"/paper/2409.07051"},"outbound":[],"paper":{"arxiv_id":"2409.07051","last_updated":"2024-09-11T06:54:14Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-10T12:41:24.846202Z","submitted_at":"2024-09-11T06:54:14Z","title":"Proof of the geometric Langlands conjecture III: compatibility with parabolic induction"},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2409.07051."}