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Paper Citation Record · LEDGER

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

As of 22 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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:5355c06cd7195c6636f51b18cc9bd3fa02b6ab0136f87c55d636a9cbb63b8c4f

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:ca7671f5b05060c353bca9897c5542e6fefb9934fcae8e5d47f5d1d46d535a7e

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:b15e5c2873754fa81ef4aae8122e5eaadf0e1b78897887d8963adf45ca60a9c0

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:671cf72f4195e6e2c15115cc0fa962ec8f8032d2a469ef9f57a604dabffccd4f

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:6e7fe7c32deb8c89bb058bbc2ddac4ece7fac5ea054dc1b82c2f5c43e115107d

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:f0f466cafc55f79101480b464ae512a1b0673e6b1b9c1bdae37661902b8ee53a

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:2247cbcff05a5199fa630b89e36a2e71ec7b255ee48f68c3df8305b8769bf73e

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:d2a4697f7643f1ed38164070f72de4a31c551bfb28f05ce8293741087f62b933

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:176714a605f9eae355a904d9f6a36e5396e8a6ec5c300e6e4b211d516b55772d

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:e9f53e9bce657ea604f60cfebe82598a1bd9904d2918687805e45bcc7375e1a9

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:a01ea104f9e70d7a1a5b6be93fb0e5ec83da56c74980b7f35f1bbaa1ffb4449f

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:dd8419ffe899c3c0378b42386585a9f53ba709fd9b86650d8e3cdd8866357e6e

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:fc8cf604976dd55d13cafb073ef225155e485a90f30f02ca70adf74ba588ab65

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:a1c681f7e69f3c4a2badc0b4f296cb73fe96a1706742bfd79953d4e615b4fd7b

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:9aa09536427812e1417a2db7fb6735999677961d66c750ae61b7dea6a1871365

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:48d91c7b9cae4bc614d3b2c7971f454eee786dac0c4517eb15b2b554a2af22f8

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:f458af5bdbf74f6a71ae065bbdc52560b0c856c34351f389b0230cda0d68183b

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:7c1102994afb190b7605efffa64dfe17deb490478dee0aa1e53efa3e14803eeb

Pith citing papers

No inbound Pith citation observations are available.