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Paper Citation Record · LEDGER

Proof of the geometric Langlands conjecture IV: ambidexterity

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2409.08670.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2409.08670 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T16:07:29.664074Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-06-30T03:24:12.893410Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation b00535b4-63c9-4631-b9a7-fd44cf5b0c6d · inbound

Non-vanishing of quantum geometric Whittaker coefficients cites this paper.

Non-vanishing of quantum geometric Whittaker coefficients Proof of the geometric Langlands conjecture IV: ambidexterity

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-05T16:07:29.664074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T16:07:29.664074Z digest=sha256:35e11dc7d488ca0618227d5570ee5b884f4f4791c94716d14c6e8dbd7d052a92

Observation 43f3409a-463c-4015-a824-bf08b5af562e · inbound

An axiomatic approach to analytic $1$-affineness cites this paper.

An axiomatic approach to analytic $1$-affineness Proof of the geometric Langlands conjecture IV: ambidexterity

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-05T10:19:30.709983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T10:19:30.709983Z digest=sha256:4c6bd743d2ecbad2b566f1908ee66b0e2ddefca34c931d55ad88bb634773e9c5

Observation fef28ac1-bb33-4e13-8eed-b08bd418e597 · inbound

Quantum Entanglement, Stratified Spaces, and Topological Matter: Towards Entanglement-Sensitive Langlands Data cites this paper.

Quantum Entanglement, Stratified Spaces, and Topological Matter: Towards Entanglement-Sensitive Langlands Data Proof of the geometric Langlands conjecture IV: ambidexterity

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-03T09:46:26.651084Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T09:46:26.651084Z digest=sha256:2084eb4fda7c12d30519d976cbc74ec87a2d6b95c3ac8a903a15ac1e6c6d7c3d

Observation 80ca1fd9-06bb-436a-ab9b-f5fbb0b14adf · inbound

Semiorthogonal decompositions for stacks cites this paper.

Semiorthogonal decompositions for stacks Proof of the geometric Langlands conjecture IV: ambidexterity

Reference 7

Resolution
metadata mismatch
arxiv_id, observed 2026-06-30T00:14:04.843172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-29T20:29:33.636561Z digest=sha256:082cd00d6d2c8da57f631a48e55317ee9f99adb1fa201e97746854eae0b3611b

Observation 67f8af54-0beb-48f5-862e-2bdbbef94924 · inbound

Quantum Betti geometric Langlands functor cites this paper.

Quantum Betti geometric Langlands functor Proof of the geometric Langlands conjecture IV: ambidexterity

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-06-30T03:24:12.894680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-06-30T01:42:25.827250Z digest=sha256:52fc1bc65b1b1fb1cb1b0e9447c94232a2f78fe37bd7ab87993cbfe3e404f086