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Paper Citation Record · LEDGER

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

As of 9 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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:7dfa4a4d97595800d01f338d61a79c3e5fe4395d1046b2a5bba5e3af9ed88e17

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:2a14ff908f0ca2220332737be39caf5d337a04a6732c44252eb2eac4bbe84f6f

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:c5f8ecbac74b877c1d94aca4ad72c7ba51481d151122144a6bfd817bb54d9d6c

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:62257db27aa590d4a8216cfd7f2816701d51fe38a535669bcfd0bb0d609c5daa

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:dd52112440c081eae0a1af0451177631b4266a496d5f440bf40587b64f822c13

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:0ccfac6ae5ad2ca9d8b9645b5253f699e27950ab40a058f86e6b7a709d90c41c

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:1cd52a5263f04192569162957197ba9f53daf2c310b7b26fd7501c956f4b078b

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:cc0d9dafffa20d95de053ccfd4927415e713907d3d387e1f4460a3a077bcda15

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:992a0cea948023a7f163ad432b13c02bac00cc1a5ccf11a1576fcbe33462afce

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:41ea875339f6f6ac4396422237cb0fd51e95bd3df3437fb5696e151d140045f7

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:a09bcde150fa6db5ef76060526848c2850e01e1a813aa536a15797b7d6a46f2f

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:c1ad6020573be7d414e72568f6721c802b6d84ee53bd40a7308f261e4f97022e

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:c1007ff5908726d07d65a905137742f5e1b498ea2d33706171f7430f79441062

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:0762b168edbacfc62f9f0707c80f2c6e2163dd0c942c2b5c16fceef4383a5808

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:066bec6164e90c53f2eda8cf4f023bd1ca49b7153d11960bc8d3ec298f350015

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:8bfaac83c64e1a33a328286540faf42b584983723db52841f7ca6539a5015ae8

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:208fafecaaf17a7da58e0cbb8f437b99a2219f6314c88ab78772d05c9dedfc57

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-07-04T20:01:15.925754Z digest=sha256:f0816025642d650d369d239c7e1ac136392f45ca173191e146a590b281f05e51

Pith citing papers

No inbound Pith citation observations are available.