Pith. sign in

Paper Citation Record · LEDGER

Macdonald operators and quantum Q-systems for classical types

As of 16 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:1908.00806.

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

pith.paper-citation-record.v1
1908.00806 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:35:55.707617Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

27 of 27 outbound references displayed

  • verified exact1
  • verified fuzzy13
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 491d8b3b-1dac-4142-9da0-ed626ebd0a52 · outbound

This paper cites Fusion products of K irillov- R eshetikhin modules and fermionic multiplicity formulas.

Macdonald operators and quantum Q-systems for classical types Fusion products of K irillov- R eshetikhin modules and fermionic multiplicity formulas

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:35:56.102355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:35:55.584283Z digest=sha256:6ab2a44eaa0b15c5d7a595e44e93fb7c077d7d783a683fa78e2c5f829916deb2

Observation e31ec01a-b0ee-440a-ac68-32b8b2d98cec · outbound

This paper cites Zur T heorie der M etalle.

Macdonald operators and quantum Q-systems for classical types Zur T heorie der M etalle

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:35:56.087191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:35:55.589349Z digest=sha256:7900725b35d8686b2f3874d160320b7e13ef07abe198a77854ed18c66fd62a3e

Observation e993f672-5388-4b7a-9e95-cdf0b82fc0cc · outbound

This paper cites Coulomb branches of $3d$ $\mathcal N=4$ quiver gauge theories and slices in the affine Grassmannian (with appendices by Alexander Braverman, Michael Finkelberg, Joel Kamnitzer, Ryosuke Kodera, Hiraku Nakajima, Ben Webster, and Alex Weekes).

Macdonald operators and quantum Q-systems for classical types Coulomb branches of $3d$ $\mathcal N=4$ quiver gauge theories and slices in the affine Grassmannian (with appendices by Alexander Braverman, Michael Finkelberg, Joel Kamnitzer, Ryosuke Kodera, Hiraku Nakajima, Ben Webster, and Alex Weekes)

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-14T15:35:55.594198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:35:55.594198Z digest=sha256:8d1d8c9d2e8449d76ca4207da08517f97098f7b495689b2eda7a40e656ca0c94

Observation 98476b4f-b779-47ca-aac0-ce604fb53f8b · outbound

This paper cites Quantum cluster algebras.

Macdonald operators and quantum Q-systems for classical types Quantum cluster algebras

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:35:56.072549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:35:55.599307Z digest=sha256:3f1977150bc63e9fda26cc2a79d9d4111324adc0dbe420eb5a4ae126d2a6b195

Observation 0c221b29-929e-46ab-8820-dddbaf828d68 · outbound

This paper cites Double affine H ecke algebras , volume 319 of London Mathematical Society Lecture Note Series.

Macdonald operators and quantum Q-systems for classical types Double affine H ecke algebras , volume 319 of London Mathematical Society Lecture Note Series

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-14T15:35:55.604442Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:35:55.604442Z digest=sha256:1403795fdfba478653a00314b25700e9a51a7c38bc709a2d252253e5560c80be

Observation 1b5a305b-94fc-4680-9b79-4d35d2ac9d17 · outbound

This paper cites Proof of the combinatorial K irillov- R eshetikhin conjecture.

Macdonald operators and quantum Q-systems for classical types Proof of the combinatorial K irillov- R eshetikhin conjecture

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:35:56.048441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:35:55.609355Z digest=sha256:488a83f2ac4f1a167f8be3bc7b4f663be356efedf88c97bbd48f7e12c495f9e0

Observation 6db69562-50cd-4125-83a5-3f3d4e41eb1f · outbound

This paper cites Q -systems as cluster algebras.

Macdonald operators and quantum Q-systems for classical types Q -systems as cluster algebras

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-14T15:35:55.614473Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:35:55.614473Z digest=sha256:7046e425c68ed19cbf8fd95e459a799650c52e64925c2563f34b47c5297fda13

Observation b3920b95-96c6-4f82-a118-e2ca52bb4b0a · outbound

This paper cites Quantum cluster algebras and fusion products.

Macdonald operators and quantum Q-systems for classical types Quantum cluster algebras and fusion products

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:35:56.022967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:35:55.619107Z digest=sha256:02989c0cc93ab50ce61a763be95a2043c539d71033210ab98a56e48090d2f506

Observation bbaf80cb-b436-4e8f-afc2-803d1240aaf2 · outbound

This paper cites Quantum Q systems: from cluster algebras to quantum current algebras.

Macdonald operators and quantum Q-systems for classical types Quantum Q systems: from cluster algebras to quantum current algebras

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:35:56.007665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:35:55.623578Z digest=sha256:a3ac91c345be9125b7ea31c06b17a5936f3e57798f4f29624c45686fe1a4e151

Observation 5ec02f03-7969-473e-b5fd-c2ce802a2811 · outbound

This paper cites Di Francesco and R.

Macdonald operators and quantum Q-systems for classical types Di Francesco and R

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:35:55.992707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:35:55.627937Z digest=sha256:33d44c336968b39b1f9d16ecccb54d7211ae8fa8db22da6a65267ffaafea5720

Observation b5ebafc4-af3a-43b9-945c-0fb7b7c28e87 · outbound

This paper cites ( q,t )- D eformed Q - S ystems, DAHA and Q uantum T oroidal A lgebras via G eneralized M acdonald O perators.

Macdonald operators and quantum Q-systems for classical types ( q,t )- D eformed Q - S ystems, DAHA and Q uantum T oroidal A lgebras via G eneralized M acdonald O perators

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:35:55.977845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:35:55.632092Z digest=sha256:3e55cecceef90e94f1845ece8a16549b502ba143373f07c88e60e6ac89c501c6

Observation 9e084b1f-6ad5-452a-9e55-91f66e4b7fb0 · outbound

This paper cites On generalized K ostka polynomials and the quantum V erlinde rule.

Macdonald operators and quantum Q-systems for classical types On generalized K ostka polynomials and the quantum V erlinde rule

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:35:55.962836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:35:55.636707Z digest=sha256:21278fd52e0d11a55fbbde30ad4a22359a2a19e5e1c84e7c2bb826d26086c9c2

Observation cd427cf4-80f8-4c58-986d-9b40f722915d · outbound

This paper cites Cluster algebras.

Macdonald operators and quantum Q-systems for classical types Cluster algebras

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-14T15:35:55.641825Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:35:55.641825Z digest=sha256:79bac4367669b7ec08470c3ca6d81bd7f216af35963a23e96d81d2cfbffdbd12

Observation 63eb95d5-d705-4594-a3a1-33fba0de7330 · outbound

This paper cites Cluster algebras and P oisson geometry , volume 167 of Mathematical Surveys and Monographs.

Macdonald operators and quantum Q-systems for classical types Cluster algebras and P oisson geometry , volume 167 of Mathematical Surveys and Monographs

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-14T15:35:55.646395Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:35:55.646395Z digest=sha256:a7ad378bd8a3cf72e4cd2d6e40362393acb758c5e1017cbd6d1226e9c006ec37

Observation 8656e69c-d33b-4d7c-a358-0f2a9fe38c44 · outbound

This paper cites Hatayama, A.

Macdonald operators and quantum Q-systems for classical types Hatayama, A

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-14T15:35:55.650984Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:35:55.650984Z digest=sha256:1740d3bd7059d82b6e51dea24f4c3d503950da6773f151d886228da91dafeb15

Observation 7c9afc2c-e635-466a-a915-d6f4fad20399 · outbound

This paper cites Q -systems as cluster algebras.

Macdonald operators and quantum Q-systems for classical types Q -systems as cluster algebras

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:35:55.920192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:35:55.655831Z digest=sha256:050131fc769c99471769645f3ad6b38302d202aca84fcc6b26ccfa79dfeebba8

Observation 20af84e7-f1b4-4a11-9c2a-0d078e57f564 · outbound

This paper cites an unresolved cited work.

Macdonald operators and quantum Q-systems for classical types Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:35:55.905729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:35:55.660439Z digest=sha256:ffb5778a79672e5cf6d276fe2dcd5bc95a6c7d5e8041427b05654faa1eb29868

Observation 27031fe7-6990-4617-a002-c39c758c7a61 · outbound

This paper cites Functional relations in solvable lattice models.

Macdonald operators and quantum Q-systems for classical types Functional relations in solvable lattice models

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-14T15:35:55.665268Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:35:55.665268Z digest=sha256:73872eba6b01d4120f9663163ec05dd31e1fea8fa2dfc31987ee65ea24fa70e4

Observation 039fb6a6-98b6-43db-8f96-51b73c826dd1 · outbound

This paper cites an unresolved cited work.

Macdonald operators and quantum Q-systems for classical types Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:35:55.880683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:35:55.669881Z digest=sha256:5a0aae933c88e0402086f80fb5211dace4bb8525e2f68f3b20c007c72e22afca

Observation 6bcd962c-90c0-4da4-9538-94210da9c9cd · outbound

This paper cites Quantum Q-systems and fermionic sums -- the non-simply laced case.

Macdonald operators and quantum Q-systems for classical types Quantum Q-systems and fermionic sums -- the non-simply laced case

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:35:55.750945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:35:55.674402Z digest=sha256:985a8f694e304a37d67dae208404339a131b39fd89f6e8424ffcea6f4487419b

Observation 5859aa76-a1bf-4533-8ee7-2cd83e90d9a4 · outbound

This paper cites A uniform model for K irillov- R eshetikhin crystals II.

Macdonald operators and quantum Q-systems for classical types A uniform model for K irillov- R eshetikhin crystals II

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:35:55.866017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:35:55.679552Z digest=sha256:df1f8b42aff39b382befc2e426a0aa2dad4c55f52a77185fe09156851fa4133c

Observation 02a40a17-6729-4153-a2ae-b8cf93690770 · outbound

This paper cites an unresolved cited work.

Macdonald operators and quantum Q-systems for classical types Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:35:55.850999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:35:55.684060Z digest=sha256:f721a605d08a0ce6f597ea0e592dabab7ae3613d2bd969bb983c95d94019d957

Observation e12514a7-8ec5-4913-a609-e7b21f37a2fa · outbound

This paper cites an unresolved cited work.

Macdonald operators and quantum Q-systems for classical types Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-14T15:35:55.688570Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:35:55.688570Z digest=sha256:c9656355df31dcfc597e0562a26e695ddca5a00309c206566ba0df2e43afe328

Observation cc94176e-2ba8-45d9-87fe-0ddb236323da · outbound

This paper cites Factorization of S chur functions of various types.

Macdonald operators and quantum Q-systems for classical types Factorization of S chur functions of various types

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:35:55.826738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:35:55.692919Z digest=sha256:c8c7ecb5d466eb96c85205d821bfffe440b1f8cbf21efb8b157749b351bd1dd8

Observation 0f093ccb-2c39-4b1a-8c72-17622310f408 · outbound

This paper cites Drinfeld realization of the elliptic H all algebra.

Macdonald operators and quantum Q-systems for classical types Drinfeld realization of the elliptic H all algebra

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:35:55.811624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:35:55.698323Z digest=sha256:95be7496a5268326ddd5f661933cf7211c418de02c0c2613978a982a63e5ddc0

Observation 233aff21-1552-4b65-b85b-cf3b4460f073 · outbound

This paper cites an unresolved cited work.

Macdonald operators and quantum Q-systems for classical types Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:35:55.797249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:35:55.703125Z digest=sha256:978acd3b864e9c51add29aa521a0e74f9600ffb5609eaee3d96d259613f315bb

Observation 237722fb-b5d9-4a0b-94fb-166dda540c88 · outbound

This paper cites an unresolved cited work.

Macdonald operators and quantum Q-systems for classical types Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:35:55.782856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:35:55.707617Z digest=sha256:4e3a351d69864e88d4548ceaadd1006d927b67296c3ac63c2ee3c1dccbf01f64

Pith citing papers

No inbound Pith citation observations are available.