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Paper Citation Record · LEDGER

The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products

As of 13 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2411.14170.

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

pith.paper-citation-record.v1
2411.14170 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:38:28.090203Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

22 of 22 outbound references displayed

  • verified exact5
  • verified fuzzy10
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 21bef52d-5bb6-4a0c-a31f-49b28508fa4e · outbound

This paper cites write newline.

The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products write newline

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:38:28.899111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:38:27.504421Z digest=sha256:29c16c1363a6bc0424a19358352490d80223da63a93f6e62e46ca42275cd971e

Observation afd6123c-34ca-438e-9526-193cd7919143 · outbound

This paper cites an unresolved cited work.

The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:38:28.889319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:38:27.509666Z digest=sha256:0f999fd53cc813160a59adb46a89250c6db243d170de6594cde82ce1268dc170

Observation 3bb0331d-3b88-4485-9773-e122eb2513f6 · outbound

This paper cites Braverman, D.

The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products Braverman, D

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:38:28.878964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:38:27.514444Z digest=sha256:cf3cd29979acb8e972fd3645aa297f954178d04aa93dcd6dece214c3aa8d6307

Observation 56f7619e-7e8b-41b3-bec0-1a19c92b78ef · outbound

This paper cites an unresolved cited work.

The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:38:28.868381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:38:27.553097Z digest=sha256:b5d5f198fbaafd415014ea633435c19c6986826af0c328289a15a254bb3bc8a7

Observation 7e8026c7-ae02-4347-aaf1-4d7d1497c9ca · outbound

This paper cites an unresolved cited work.

The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:38:28.756030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:38:27.628338Z digest=sha256:dc8fb4253b50dadacb523ef690aa15d2435ca5f0b52dee6fa01dd787a8f7a147

Observation e0156a83-1ce9-45c2-ae16-d7eeb1625de2 · outbound

This paper cites 11, 4030--4039.

The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products 11, 4030--4039

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:38:28.712529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:38:27.700109Z digest=sha256:0e92852ff91d2e80fbca95684a41488f9615200d9eac13eb090bf98036080b8d

Observation 2537a780-7ace-40c8-a02f-572c6c6acec1 · outbound

This paper cites Affine Deligne-Lusztig varieties associated with generic Newton points.

The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products Affine Deligne-Lusztig varieties associated with generic Newton points

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-12T15:38:28.271229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:38:27.741287Z digest=sha256:0563c246aed4a93deacbcad7efc73a8252dc196baaba89ed964b4e3953b5bd42

Observation 8320e3d8-84cf-4e46-8290-eed2c2ad7502 · outbound

This paper cites Demazure product of the affine Weyl groups.

The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products Demazure product of the affine Weyl groups

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-12T15:38:28.255534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:38:27.776458Z digest=sha256:8a7fb21c8fda6202182b4568aaef220cdd73049c487251cdba629c6379256d41

Observation be38fbcf-0263-49bc-845b-fa0d29328639 · outbound

This paper cites Quantum roots for Kac-Moody root systems and finiteness properties of the Kac-Moody affine Bruhat order.

The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products Quantum roots for Kac-Moody root systems and finiteness properties of the Kac-Moody affine Bruhat order

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-12T15:38:28.232147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:38:27.779922Z digest=sha256:7c67b5d7c4ceeb4d8d8292b31c4130949cad593bf67563b5a1e8a8de236bfb97

Observation e2461a9b-6f67-45ef-b58e-4b1bc24ea02e · outbound

This paper cites Humphreys, Reflection Groups and Coxeter Groups , Cambridge Studies in Advanced Mathematics, Cambridge University Press, 1990.

The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products Humphreys, Reflection Groups and Coxeter Groups , Cambridge Studies in Advanced Mathematics, Cambridge University Press, 1990

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:38:28.702451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:38:27.783299Z digest=sha256:bf0ee5075c1a744b500dedc3f96588de1859a5e37e7478a101250e56701e788b

Observation a941c0de-1ab1-42d7-8a20-a750bcf37ad3 · outbound

This paper cites Kac, Infinite-Dimensional Lie Algebras , 3 ed., Cambridge University Press, 1990.

The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products Kac, Infinite-Dimensional Lie Algebras , 3 ed., Cambridge University Press, 1990

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:38:28.692232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:38:27.786216Z digest=sha256:cd6e09fe58d2064668cff711c245c4ac600e01e416a5d4f37671efae5fa60914

Observation 69a01b26-9e5a-4fcd-bb8f-f0a62db58290 · outbound

This paper cites an unresolved cited work.

The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:38:28.681101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:38:27.790373Z digest=sha256:1c55432b6251cae1e1a01adec0e780643e1dc41ee064643f770628b61224ed95

Observation 4cf1c040-2f83-4a19-921c-dd31db23b057 · outbound

This paper cites Alcove Model, Path Model, and P=X , International Mathematics Research Notices 14 (2017), 4259--4319.

The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products Alcove Model, Path Model, and P=X , International Mathematics Research Notices 14 (2017), 4259--4319

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:38:28.671134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:38:27.793868Z digest=sha256:d6c6b97380dad9371b1eed110a49c32b177ea8f547aec60912937b956ed8667a

Observation bb25d538-6351-47ff-bc1e-5ffc37f0cc88 · outbound

This paper cites 3, 451 -- 502.

The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products 3, 451 -- 502

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:38:28.659762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:38:27.797341Z digest=sha256:ef589ee886d50b49c5cc23cd471d6e2015cf98faaaa1628d21bfa84ab58b57d2

Observation 6b6f764b-106e-41e1-ad63-cf2ba944ce8e · outbound

This paper cites 2, 197--216 (en).

The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products 2, 197--216 (en)

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:38:28.648809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:38:27.800783Z digest=sha256:f47ccb0b546b513afcec41b8e453bff20355c2713e730b82c87aeb90d0006b91

Observation b53743b1-cff5-4a00-b71a-1102983c96b9 · outbound

This paper cites Pursuing Coxeter theory for Kac-Moody affine Hecke algebras.

The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products Pursuing Coxeter theory for Kac-Moody affine Hecke algebras

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-12T15:38:28.200243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:38:27.804106Z digest=sha256:113c991dcebff45034d8b19638344e1fcbb0e96db40d80fa593205813eb939be

Observation 7c26a158-c5d1-417f-971e-46fb848e90b4 · outbound

This paper cites an unresolved cited work.

The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:38:28.639625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:38:27.808697Z digest=sha256:33931efd943d6b358ba0c33db07cca703686a63cb34e85513a542e3c19b92edf

Observation d5d5a373-8aa8-4dfa-b679-456fb15e7d7a · outbound

This paper cites Grading of affine Weyl semi-groups of Kac-Moody type.

The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products Grading of affine Weyl semi-groups of Kac-Moody type

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-12T15:38:28.184517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:38:27.844744Z digest=sha256:6da96b8ddc3c7fa09ec10148bbc0547fe6a030b22ee7accc4a1605d2f526a6b8

Observation 6c1f3fe6-f7e5-49f5-a0e3-aa73270a5e9f · outbound

This paper cites 3, 699--709.

The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products 3, 699--709

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:38:28.608821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:38:27.896264Z digest=sha256:707b9334ab672d7620cff2731c7f9d98b25f2cc3172b1a7079799d347d024fb1

Observation 8c9b5d06-2860-4283-b49b-d3a10907bcaf · outbound

This paper cites Generic Newton points and cordial elements.

The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products Generic Newton points and cordial elements

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-12T15:38:27.954810Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T15:38:27.954810Z digest=sha256:8f960d354d4d6afb38200bafb83b0a2cc19162b03da297bfc3e2ab857f0d1d35

Observation 4e0639b6-9c0e-4b26-88bc-1155e737399f · outbound

This paper cites 12, Cambridge University Press, 2024, p.

The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products 12, Cambridge University Press, 2024, p

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:38:28.373284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:38:27.996384Z digest=sha256:a7936d3a5e0360cfa08af6c9f2720b5319df5e7c3f4e216859abd8b028ad357a

Observation 46d28085-6c09-498a-94ab-72a9b36a61f5 · outbound

This paper cites an unresolved cited work.

The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:38:28.283798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:38:28.090203Z digest=sha256:56743f88ef6b7e6cf988ec376058ec06646cf63c68a753530a0dde2ce74521d4

Pith citing papers

No inbound Pith citation observations are available.