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Paper Citation Record · LEDGER

Two-row $W$-graphs in affine type $A$

As of 17 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:1908.04707.

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

pith.paper-citation-record.v1
1908.04707 v2

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:40:12.317815Z

measured 24 of 24 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

24 of 24 outbound references displayed

  • verified exact3
  • verified fuzzy11
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b794b673-ddc1-41b5-bee7-5697fc15bea4 · outbound

This paper cites Assaf and Sara C.

Two-row $W$-graphs in affine type $A$ Assaf and Sara C

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:40:12.720741Z

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=2026-08-14T13:40:12.201384Z digest=sha256:e91fb23c21bdb4c8ab28b95d736dcf60634a8e75a823bc39a7b8376fb0b84450

Observation 6bbf3e50-6188-4d1d-942b-67605ce99755 · outbound

This paper cites an unresolved cited work.

Two-row $W$-graphs in affine type $A$ Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:40:12.706288Z

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=2026-08-14T13:40:12.206795Z digest=sha256:cbcd3f76b104ab469cd13dbbc470516b00a6a295669f4c225ee0dac9776a27a6

Observation b95f1772-9766-45b2-9e41-de08c8f9f512 · outbound

This paper cites an unresolved cited work.

Two-row $W$-graphs in affine type $A$ Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:40:12.692079Z

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=2026-08-14T13:40:12.211865Z digest=sha256:efe29661a162e88df8ad2da7e461021a4144efe02ab4f6cca81dff79cb76a674

Observation 4e236d87-15c5-448e-ba15-56eaae4e7779 · outbound

This paper cites An affine generalization of evacuation.

Two-row $W$-graphs in affine type $A$ An affine generalization of evacuation

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:40:12.405408Z

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=2026-08-14T13:40:12.217631Z digest=sha256:62b3c05d09d2e10b8ce217c271ffe3183aa965b2c6d0d3e8be1db05d0986f876

Observation 3e068869-fa80-4e28-92cb-3b44f474a0cf · outbound

This paper cites Algebraic Combin.

Two-row $W$-graphs in affine type $A$ Algebraic Combin

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:40:12.677689Z

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=2026-08-14T13:40:12.223349Z digest=sha256:166e1839050ac8ea9f858a6f586cd3ee538a5acee4ca54f4161a8891ef0cd4c1

Observation 64656ca8-fe07-4c35-aa0c-a9aa23a983a4 · outbound

This paper cites Monodromy in Kazhdan-Lusztig cells in affine type A.

Two-row $W$-graphs in affine type $A$ Monodromy in Kazhdan-Lusztig cells in affine type A

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:40:12.384204Z

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=2026-08-14T13:40:12.228537Z digest=sha256:040e1c9c15f465c0600571c446aba21c3f6b9600e9f90ea9f314cbe6f23efb81

Observation 9df29542-f170-41a6-9a8a-507253d172f3 · outbound

This paper cites an unresolved cited work.

Two-row $W$-graphs in affine type $A$ Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:40:12.663519Z

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=2026-08-14T13:40:12.234211Z digest=sha256:f69d2901943c48df9c9b70228bf793382292c80eeae33ec700f49d67229c0f0e

Observation a88402de-a7ab-4f13-9ca6-80f3484e0c71 · outbound

This paper cites an unresolved cited work.

Two-row $W$-graphs in affine type $A$ Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:40:12.649015Z

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=2026-08-14T13:40:12.239229Z digest=sha256:31f949330684432b67e907c93f23726a77cb44bf486bd6162215046324487147

Observation dbf5182b-7d09-4ac1-afac-6efc8f2eca5c · outbound

This paper cites an unresolved cited work.

Two-row $W$-graphs in affine type $A$ Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:40:12.635214Z

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=2026-08-14T13:40:12.243787Z digest=sha256:83bd4b5fa42b9f895d9f6b3f75b25d7a2a3a2cbb98ac92f501b4e579e6cc6dfd

Observation 75ee1c8b-ad34-4da5-b420-f21db6c0c548 · outbound

This paper cites Haiman, Dual equivalence with applications, including a conjecture of P roctor , Discrete Math.

Two-row $W$-graphs in affine type $A$ Haiman, Dual equivalence with applications, including a conjecture of P roctor , Discrete Math

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:40:12.621143Z

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=2026-08-14T13:40:12.248507Z digest=sha256:0cdc13bf5e210c6a33a593c672fb5630679cc1af60c2f0ef98474487eb0d2934

Observation d1aa454e-d56c-432a-aacf-029aeaeedce1 · outbound

This paper cites an unresolved cited work.

Two-row $W$-graphs in affine type $A$ Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:40:12.606032Z

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=2026-08-14T13:40:12.253851Z digest=sha256:248bb53d84d1758827fe853eb0bfd337f74883125cbbd66d32b40e6c22de41c0

Observation a440b4f5-dece-4777-bed1-a7038e0a9752 · outbound

This paper cites an unresolved cited work.

Two-row $W$-graphs in affine type $A$ Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:40:12.591652Z

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=2026-08-14T13:40:12.258718Z digest=sha256:d372e5058b93c9ffabc487eca32d11494d6a053a5036a92215ff9bd069bf8b4a

Observation a1c82902-e502-4085-a898-5800f0f4ce7e · outbound

This paper cites Knuth, Permutations, matrices, and generalized Y oung tableaux , Pacific J.

Two-row $W$-graphs in affine type $A$ Knuth, Permutations, matrices, and generalized Y oung tableaux , Pacific J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:40:12.576156Z

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=2026-08-14T13:40:12.263916Z digest=sha256:faea5b3102be6b36c446ec8d53f51ccbab92a8b1a9abaabb9809036db86a9df0

Observation c37b3cdc-4061-4bb3-9ef4-20f2a2572c25 · outbound

This paper cites an unresolved cited work.

Two-row $W$-graphs in affine type $A$ Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:40:12.560479Z

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=2026-08-14T13:40:12.269079Z digest=sha256:d485aef185fd243443c632534591bd085536b7e712f4adbea498935b81731607

Observation d4f41b79-e17e-4d17-9538-5cf1cd3b5c41 · outbound

This paper cites Theory 1 (1997), 207--279.

Two-row $W$-graphs in affine type $A$ Theory 1 (1997), 207--279

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:40:12.545439Z

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=2026-08-14T13:40:12.273730Z digest=sha256:85f1c41055656fc7edede918bae3f491ed899970edd44b85f600c4c6945a2324

Observation 86e7c34b-c219-40f6-b3ec-43290290872c · outbound

This paper cites I I , Represent.

Two-row $W$-graphs in affine type $A$ I I , Represent

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:40:12.530160Z

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=2026-08-14T13:40:12.278266Z digest=sha256:e499d707af9eba8c15a0f23fe08badc50634707c5ec65755de7cfedf20770108

Observation d39f38ef-5875-4d5c-ad88-904e118b3037 · outbound

This paper cites Type A-admissible cells are Kazhdan-Lusztig.

Two-row $W$-graphs in affine type $A$ Type A-admissible cells are Kazhdan-Lusztig

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:40:12.361588Z

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=2026-08-14T13:40:12.283015Z digest=sha256:8b12d45b32925988b0919ad2b9e78d4b9b633f48462cbe49ab46c58b671e1e87

Observation f13c3ddf-05cc-4620-9a01-476cb9f3d28b · outbound

This paper cites an unresolved cited work.

Two-row $W$-graphs in affine type $A$ Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:40:12.515835Z

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=2026-08-14T13:40:12.289604Z digest=sha256:70ea394f1a53aa139f5e25832fc42f08e296f9c28f519b1f359ecdf3577b0858

Observation 68ae5a7a-4247-412f-a900-db2a175fe30a · outbound

This paper cites 392, Cambridge U niversity P ress, 2011, pp.

Two-row $W$-graphs in affine type $A$ 392, Cambridge U niversity P ress, 2011, pp

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:40:12.501623Z

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=2026-08-14T13:40:12.294063Z digest=sha256:7066809b870131f4ae61d6fba02637ef313daa1546c53d405044561022c58d80

Observation af4aa21d-9206-41de-85f7-6fdbff20fba0 · outbound

This paper cites 2, Cambridge S tudies in A dvanced M athematics, no.

Two-row $W$-graphs in affine type $A$ 2, Cambridge S tudies in A dvanced M athematics, no

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:40:12.484508Z

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=2026-08-14T13:40:12.298824Z digest=sha256:a7c3c5b3fae2a95c51d8a19708236309576a9f3e38054600fa1a7082b3c9e807

Observation 13f30d4e-9275-49b6-955e-5910d8ff20c5 · outbound

This paper cites Stembridge, Admissible W -graphs , Represent.

Two-row $W$-graphs in affine type $A$ Stembridge, Admissible W -graphs , Represent

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:40:12.469475Z

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=2026-08-14T13:40:12.303697Z digest=sha256:4448cdd72e5dc373b09abcfb056be85b0a5a86d45f3662fef209373a616e5cf5

Observation 78feed7d-484f-45ff-9e3f-ecd65a226073 · outbound

This paper cites an unresolved cited work.

Two-row $W$-graphs in affine type $A$ Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:40:12.453401Z

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=2026-08-14T13:40:12.308410Z digest=sha256:e78629bbfae425cebf3e0afa0c4bfe9f534bb6026bd477951ebf5ab5215f1d78

Observation 1d8f1ba2-2b51-4631-b824-07ec2af8a1e1 · outbound

This paper cites Groups 9 (2004), no.

Two-row $W$-graphs in affine type $A$ Groups 9 (2004), no

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:40:12.436484Z

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=2026-08-14T13:40:12.313189Z digest=sha256:4c7bd73684b55f06a0fcf8d43b471f1f979ce093c773652a301c6017c085c074

Observation 5466c551-8043-4b93-a6b7-9f67e01d0eb3 · outbound

This paper cites Westbury, The representation theory of the T emperley- L ieb algebras , Math.

Two-row $W$-graphs in affine type $A$ Westbury, The representation theory of the T emperley- L ieb algebras , Math

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:40:12.421470Z

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=2026-08-14T13:40:12.317815Z digest=sha256:44e118cd7c66d03fd569c1e909c14907f7527a51b8cdf6ed8b700c7406ff8731

Pith citing papers

No inbound Pith citation observations are available.