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Paper Citation Record · LEDGER

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

As of 10 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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:e803e1fb6f4f96ec7d882bd20089938415a25c6dc1d252360145f2102f8ed7c9

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:f4a21b28bd768af49c5293fdca9a83ad34424d6352db17f55aa561c931a9013b

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:4ea9c452c821a9c3bcf2699c26159fc7b6c5be30dea13240ad7e29d729137a62

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:e7c9548a6d3623f942cbc635070132fe3b4c501d6173af3ae72dd44922aa50ac

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:64d57e74e86dc1bde5030605b831a374d4909da0aa5fa569d9929b4318dce8e1

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:73dfd1176922470db790267357aa7ad948958951ed08fd0efe11f1bfb3646670

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:70d2be0f0013fc4055b75e9ed64a8c3ca1c41600e46d273816176fbfb72a13ed

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:9f893c3183b822d3300786cd7f76c0a1a28d668ed4367ce7a32e4cda23c43d40

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:41ea083dfc6f39aa50e9002f782e0256b7960667d1212f08df5b899e5615a009

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:073f1ab86d4db5e3bca280488ac6a4b6ddb1aa9dbd1fd5d554c0713d98548320

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:c23f5f34a7c506b9bb4cc958cef3f19ae2c1e89dd38b14230b26b58eb781e99d

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:02a195e0954e899f5a411a124fb794db77dbc2d46737ca823580e362337e9ab5

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:5196052c4fe8d786b2f07b547277a18004fa2c391509d16408c6e78e9a0f5d98

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:c2960346aea4f8b46bae4c280a1b43af72dc0b136ecb8314c98a8482efc40ecc

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:7f710c983ca7b6a6bfa5239877e2c0610f19e8fe261e37a6dcc204d0d6ae36fc

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:2302ed6e366a0d2d652b05af2d4633b557a5a950de0cc7d0c205ccd3d256c15c

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:b35ea0d43e44e23122652153e1179acec7a64a318aea98d9a6a8bb5266572614

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:06e00584753de7e71b47940eeec9821d874d1a004de3bf21acbda5abb912e6bc

Pith citing papers

No inbound Pith citation observations are available.