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Paper Citation Record · LEDGER

Monoidal Categories associated with Kac-Moody Open Richardson Varieties in Symmetric Type

As of 17 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2606.05184.

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

pith.paper-citation-record.v1
2606.05184 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-04T20:01:15.925754Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

18 of 18 outbound references displayed

  • verified exact3
  • verified fuzzy3
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dd9849d6-96bc-49e3-8de1-adcaedb904d8 · outbound

This paper cites Upper cluster structure on Kac--Moody Richardson varieties.

Monoidal Categories associated with Kac-Moody Open Richardson Varieties in Symmetric Type Upper cluster structure on Kac--Moody Richardson varieties

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-07-04T20:10:07.069956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:a8d61acb0d3c3b93b60f154252e6c8f77dac8edd7d8fc7566a2153ccff0fd0ca

Observation 02efd6f6-847d-48dd-8fa4-49f6ac15146f · outbound

This paper cites an unresolved cited work.

Monoidal Categories associated with Kac-Moody Open Richardson Varieties in Symmetric Type Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-07-04T21:20:08.850156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:e5facb0717c6f95528521fbde3319dbb8d79ca706b9298ce3b1083fa54b46038

Observation df114346-d295-473e-857d-562efaec6bcc · outbound

This paper cites an unresolved cited work.

Monoidal Categories associated with Kac-Moody Open Richardson Varieties in Symmetric Type Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-07-04T21:20:08.876329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:e1778c3a33709c75a683f2524dade9ebf48d06ec4173b654fa96b1e6edad261e

Observation 1ba5d6fe-4c03-454a-85e7-8870d67e7a7a · outbound

This paper cites (N.S.) 19 (2013), no.

Monoidal Categories associated with Kac-Moody Open Richardson Varieties in Symmetric Type (N.S.) 19 (2013), no

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-04T21:20:08.865854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:8e570a797a00df7360ca38afe788446e6af2488843004c30593fc764b4ac09da

Observation 57901b68-ec33-4bba-bb70-f033776e7f80 · outbound

This paper cites an unresolved cited work.

Monoidal Categories associated with Kac-Moody Open Richardson Varieties in Symmetric Type Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-07-04T21:20:08.865414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:40572285ea3503adb3d0d8e691bf9c23351102c2e121224f07f4072ae94c58ac

Observation f9aafed7-e421-4a48-baae-f74a77d1c30f · outbound

This paper cites an unresolved cited work.

Monoidal Categories associated with Kac-Moody Open Richardson Varieties in Symmetric Type Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-07-04T21:20:08.879279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:8235ef935a91a5fa40df31b3244552e94407a86b00460aa2e26ab9cd1a2fe185

Observation 7ef7f8ff-eac1-41b8-ac9c-8ffe91909edd · outbound

This paper cites an unresolved cited work.

Monoidal Categories associated with Kac-Moody Open Richardson Varieties in Symmetric Type Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-07-04T21:20:08.871281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:8b3b5af0446ca9dbee0622f8f31bd78edcfde0637334f3ac4756781ff44298df

Observation 9db013c0-735e-4ad5-920a-50fd1a330558 · outbound

This paper cites an unresolved cited work.

Monoidal Categories associated with Kac-Moody Open Richardson Varieties in Symmetric Type Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-07-04T21:20:08.873957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:aeb020be380e2b016640e568b86f2dbf04237adacccdf619d67374d8eba067c3

Observation 13db8923-4f33-42bf-955e-f0138caeeca8 · outbound

This paper cites an unresolved cited work.

Monoidal Categories associated with Kac-Moody Open Richardson Varieties in Symmetric Type Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-07-04T21:20:08.869684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:99d146fbded8c5ce2e8614f3d21d2dbed29a86b2c3227ebbea7f5a0d925f5ad8

Observation 32758c6a-5f57-4423-b848-46368968cb09 · outbound

This paper cites an unresolved cited work.

Monoidal Categories associated with Kac-Moody Open Richardson Varieties in Symmetric Type Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-07-04T21:20:08.862587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:cceb9920e4037816b67465b3e07e74a2480791638993938afc1a9714542d0f54

Observation a805ecf2-2ca0-4560-8a85-b259f1adf708 · outbound

This paper cites an unresolved cited work.

Monoidal Categories associated with Kac-Moody Open Richardson Varieties in Symmetric Type Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-07-04T21:20:08.855557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:e58c7e86c6d2e9c1b304ee92696cf6c1cc2395ffbec5316b0d37e898873bcbfb

Observation 3f7eff50-d26f-463c-ad77-7b0c655a0a19 · outbound

This paper cites Lauda, A diagrammatic approach to categorification of quantum groups I, Represent.

Monoidal Categories associated with Kac-Moody Open Richardson Varieties in Symmetric Type Lauda, A diagrammatic approach to categorification of quantum groups I, Represent

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-07-04T21:20:08.868805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:87776e7a3bab6c6715a01ed70407893bd52187e9ec44198469034ef5a4fe294c

Observation a26e0b39-721d-4998-870c-fc84f07182cb · outbound

This paper cites an unresolved cited work.

Monoidal Categories associated with Kac-Moody Open Richardson Varieties in Symmetric Type Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-07-04T21:20:08.857418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:cc448bb220f5538fc0ec456727b45bcf871849fd07b3c064448369c806d96d85

Observation 27cf98f3-5608-43e9-b40e-6d04cf420a4d · outbound

This paper cites auser Classics, Birkh\.

Monoidal Categories associated with Kac-Moody Open Richardson Varieties in Symmetric Type auser Classics, Birkh\

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-07-04T21:20:08.856358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:7f674ccf45fd4e6f1c8dbecf06c846f0d5b331db4b509645744c0c5ddbbcb442

Observation 76158a53-158e-406b-9783-5b873de5c3d1 · outbound

This paper cites Cluster algebras associated with open Richardson varieties: an algorithm to compute initial seeds.

Monoidal Categories associated with Kac-Moody Open Richardson Varieties in Symmetric Type Cluster algebras associated with open Richardson varieties: an algorithm to compute initial seeds

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-07-04T20:10:07.074023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:821f8beb9dc4d290a020c1c1f7286ca03645be855b20e36ac5251604aafcafd3

Observation bf2ca0be-0130-4e76-b08f-da909dbe40c0 · outbound

This paper cites Analogs of the dual canonical bases for cluster algebras from Lie theory.

Monoidal Categories associated with Kac-Moody Open Richardson Varieties in Symmetric Type Analogs of the dual canonical bases for cluster algebras from Lie theory

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-07-04T20:10:07.066262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:8369d601e53786463d3d67eafaafa0ee17785bc5fa8d4031def0e583ebd5afa7

Observation 2f770269-ee95-4287-879e-ebaa2a28b235 · outbound

This paper cites an unresolved cited work.

Monoidal Categories associated with Kac-Moody Open Richardson Varieties in Symmetric Type Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-07-04T21:20:08.848536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:8a9f13e93cbbad8a0f9b6beaa63e304e9fad61672c998e1e5a0e4d891a0d591f

Observation cee47b60-e08e-4113-a312-74f56a5a6ce5 · outbound

This paper cites an unresolved cited work.

Monoidal Categories associated with Kac-Moody Open Richardson Varieties in Symmetric Type Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-07-04T21:20:08.852197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:8df3c500fd7c9ce6be62950c96c81bf02daa6647cee7a688c109d0a80f128ad3

Pith citing papers

No inbound Pith citation observations are available.