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Paper Citation Record · LEDGER

Square root crystals and the square root of $B(\infty)$

As of 19 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2608.11009.

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

pith.paper-citation-record.v1
2608.11009 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T12:21:59.442115Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

52 of 52 outbound references displayed

  • verified exact0
  • verified fuzzy37
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a4c36545-6372-41d1-b191-8877fcf013cd · outbound

This paper cites Multiline queues with spectral parameters.

Square root crystals and the square root of $B(\infty)$ Multiline queues with spectral parameters

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:22:00.315842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.166281Z digest=sha256:c328cd93dff315c984fc2df302a4ba7606129ca880fb3a4ad2a8011c1356ce5b

Observation 9eaffb62-ee97-4d96-9132-fda32d55702d · outbound

This paper cites an unresolved cited work.

Square root crystals and the square root of $B(\infty)$ Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-12T12:22:00.298882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.172685Z digest=sha256:8955a6a11d431b030d4b0814876ee422cec330f3d479f75ebc103bb037fac978

Observation b59750f1-3da2-4ad7-abc6-f744eef75afc · outbound

This paper cites Crystal bases for the quantum superalgebra U_q( gl (m,n)).

Square root crystals and the square root of $B(\infty)$ Crystal bases for the quantum superalgebra U_q( gl (m,n))

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:22:00.282130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.180129Z digest=sha256:02f39ce876217803f0b192446c3bcd19c82bdd50c00ecf4cdbd565718a8fd9c4

Observation b1dccf90-1ea2-4310-a2f4-db0349f20a03 · outbound

This paper cites Lie groups and L ie algebras.

Square root crystals and the square root of $B(\infty)$ Lie groups and L ie algebras

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:22:00.265001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.185537Z digest=sha256:2abc0129fadc1b618e9058f17859a0730baecfbeab21aef2c49d8953143a9926

Observation bbfeef3c-2356-4b42-905b-3bd74b9dfcd8 · outbound

This paper cites Crystal bases.

Square root crystals and the square root of $B(\infty)$ Crystal bases

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-12T12:21:59.191477Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T12:21:59.191477Z digest=sha256:3f9acdb4e11a52398e36e52f9003f911ba243dac8e7540d5cc32b1c62f612183

Observation b38c7e24-25fa-4208-87b5-04503ab4d264 · outbound

This paper cites Colored five-vertex models and L ascoux polynomials and atoms.

Square root crystals and the square root of $B(\infty)$ Colored five-vertex models and L ascoux polynomials and atoms

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:22:00.236414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.197410Z digest=sha256:edad91d3ee9c9824a9d9ecba6f95c45c963409c9eb5c282d3446470e095e25c5

Observation a3c6375d-3c1f-4890-8ae7-1d416ded7387 · outbound

This paper cites A L ittlewood-- R ichardson rule for the K -theory of G rassmannians.

Square root crystals and the square root of $B(\infty)$ A L ittlewood-- R ichardson rule for the K -theory of G rassmannians

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:22:00.219540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.203538Z digest=sha256:ec304158286adc2a6f0c8e50facea20f63ce58f254f2ed8d7144904cc914fb0b

Observation 4372ed32-8e66-4e5b-b208-b9ea52cafba4 · outbound

This paper cites String bases for quantum groups of type A_r.

Square root crystals and the square root of $B(\infty)$ String bases for quantum groups of type A_r

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:22:00.202617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.208752Z digest=sha256:4ab4506083ce37e880624cba90550e9d6b86f8a5f5ca7dd124f7bef33ee4b80f

Observation af442e06-16dc-4502-af95-835701f2dbb1 · outbound

This paper cites Tensor product multiplicities, canonical bases and totally positive varieties.

Square root crystals and the square root of $B(\infty)$ Tensor product multiplicities, canonical bases and totally positive varieties

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:22:00.186088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.213999Z digest=sha256:fe4e396f992548e8ba869ce2341ce9645399385a2c3c7d533b1cdbfcab4c8710

Observation f7aff5a1-5430-4ca0-b2af-0974396252ea · outbound

This paper cites Crystal bases and Y oung tableaux.

Square root crystals and the square root of $B(\infty)$ Crystal bases and Y oung tableaux

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:22:00.169275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.219318Z digest=sha256:53b1fb0dc77d91477681ab8cb65acdcf8ac6399159ede7b403af6563b19367fc

Observation e1ea319e-49d9-4897-940c-a8cb51dfd697 · outbound

This paper cites Representation theory , volume 129 of Graduate Texts in Mathematics.

Square root crystals and the square root of $B(\infty)$ Representation theory , volume 129 of Graduate Texts in Mathematics

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-12T12:21:59.224659Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T12:21:59.224659Z digest=sha256:a085dcd7aca66d3f3d8cb3b42fd2065fea370746622d91ab3d25a35cd4ca9f59

Observation 73a771f7-f9b5-485e-9b08-18dc84501fbf · outbound

This paper cites Kirillov.

Square root crystals and the square root of $B(\infty)$ Kirillov

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:22:00.142183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.230054Z digest=sha256:87811060c28256961a0524cc4a018b700560b7e823db793619632f2c6e48ee04

Observation 0567a447-f49e-4818-95df-075bb1cb0db3 · outbound

This paper cites Quantum queer superalgebra and crystal bases.

Square root crystals and the square root of $B(\infty)$ Quantum queer superalgebra and crystal bases

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:22:00.125028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.235456Z digest=sha256:3eee5cc1800c6a623e0583426f32fc88099e6ca5b9316c7b9d5f7764611682d0

Observation 2871d563-ab4b-4bb1-9392-643ca5c884e4 · outbound

This paper cites Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux.

Square root crystals and the square root of $B(\infty)$ Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-12T12:21:59.240546Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T12:21:59.240546Z digest=sha256:c6ed93b40be3361667f3926516d65c778e8cf475e1d087434712511c965c35c2

Observation 1a52abfa-8c87-49ff-84c2-a322fa0613c0 · outbound

This paper cites Grojnowski and G.

Square root crystals and the square root of $B(\infty)$ Grojnowski and G

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:22:00.096556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.246152Z digest=sha256:4225ed836d44c5b5e941a1803deb9b7eae1dbb6784e82fe201353abbd52db62b

Observation 674dc3c8-e7fc-40e1-a69a-77235c3b31e4 · outbound

This paper cites Introduction to quantum groups and crystal bases , volume 42 of Graduate Studies in Mathematics.

Square root crystals and the square root of $B(\infty)$ Introduction to quantum groups and crystal bases , volume 42 of Graduate Studies in Mathematics

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-12T12:21:59.251210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T12:21:59.251210Z digest=sha256:a7ec8193e98d952c7752534cbde24581afe7ade6ee56ef5b7e760a7bd176b1fa

Observation fe374bed-ea4c-4118-88f1-d81bcbb40dcb · outbound

This paper cites Young tableaux and crystal B( ) for finite simple L ie algebras.

Square root crystals and the square root of $B(\infty)$ Young tableaux and crystal B( ) for finite simple L ie algebras

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:22:00.067877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.256188Z digest=sha256:145b318913782ef4e1ecc38f9a81b4eeb798594f08b884bddf2240476a1cc5a7

Observation 272c769d-688b-4a73-a232-e044e51e07cc · outbound

This paper cites Humphreys.

Square root crystals and the square root of $B(\infty)$ Humphreys

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-12T12:21:59.261238Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T12:21:59.261238Z digest=sha256:02aece6a1a509f347878b36321a1e604f72f54b77568f90b47603700ff78f7c2

Observation 8279d2e1-6eff-4a03-bb94-4df79ad1b48e · outbound

This paper cites Humphreys.

Square root crystals and the square root of $B(\infty)$ Humphreys

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-12T12:21:59.266524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T12:21:59.266524Z digest=sha256:5737ffb434adaa889eb8efaf136f6032f6ebbcff613b5e02eb7998cb29f6cf5d

Observation a25c504b-91a7-4645-981e-6e4fbf902507 · outbound

This paper cites Humphreys.

Square root crystals and the square root of $B(\infty)$ Humphreys

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:22:00.024787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.271744Z digest=sha256:ad58e58fc76a83d98d0871a46368c4922d06ef83c83e97d086cd7766b0df29ee

Observation 04e50eff-9021-4762-97ac-fdd250d20123 · outbound

This paper cites Quantum groups and their primitive ideals , volume 29 of Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)].

Square root crystals and the square root of $B(\infty)$ Quantum groups and their primitive ideals , volume 29 of Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)]

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:22:00.003791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.277936Z digest=sha256:fa2a380809d51581c6cfa27c1ccbb857b546ad7fca55b4da0a06080c93f01f65

Observation 9df7b3d2-8ba7-4232-ad05-a46566415e7f · outbound

This paper cites Mirkovi\'c-- V ilonen cycles and polytopes.

Square root crystals and the square root of $B(\infty)$ Mirkovi\'c-- V ilonen cycles and polytopes

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:21:59.982681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.283656Z digest=sha256:e4bb9c9135531583324ea949893ca97474b9b32bfa9deb69e274ef93d13d138b

Observation 5e756c31-0e88-484b-9c0c-e5130543d069 · outbound

This paper cites Crystalizing the q -analogue of universal enveloping algebras.

Square root crystals and the square root of $B(\infty)$ Crystalizing the q -analogue of universal enveloping algebras

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-12T12:21:59.288738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T12:21:59.288738Z digest=sha256:fdeffc280b73b8464afd26eacf4a690fd302fdc195d680e32255407394c3350d

Observation 946cefa6-2bc2-4230-9df9-7aa860be9d0b · outbound

This paper cites Kashiwara.

Square root crystals and the square root of $B(\infty)$ Kashiwara

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-12T12:21:59.293752Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T12:21:59.293752Z digest=sha256:e99e2dcdf91c0d7af2411f50141797c1cd8152b1139ec0b473e2042d167cf81d

Observation bf5021c7-70c1-45c3-8c40-dc61bcf9c9cd · outbound

This paper cites The crystal base and L ittelmann's refined D emazure character formula.

Square root crystals and the square root of $B(\infty)$ The crystal base and L ittelmann's refined D emazure character formula

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-12T12:21:59.298834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T12:21:59.298834Z digest=sha256:4a1006b9020f1b5b97f782b9bc9da5ded83bb0b56c423da86f642c1b22faac87

Observation accdec05-13fe-4974-8519-65682f2180d7 · outbound

This paper cites On crystal bases.

Square root crystals and the square root of $B(\infty)$ On crystal bases

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:21:59.929613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.303941Z digest=sha256:5c6fd16eac00628810e396251cb529797a6b87f643605ae9dcbe0d194dd45a6b

Observation 4ebc7fbf-8fdb-41ca-b2a9-dc07dbac8fda · outbound

This paper cites Kirillov.

Square root crystals and the square root of $B(\infty)$ Kirillov

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:21:59.912519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.309253Z digest=sha256:9ed31b87d52aa1af4300392143f883a9b0585a49312a4f648f22715a86760a04

Observation 227af695-fdef-48bb-9ea7-f5d2dfacdfa6 · outbound

This paper cites Crystal graphs for representations of the q -analogue of classical L ie algebras.

Square root crystals and the square root of $B(\infty)$ Crystal graphs for representations of the q -analogue of classical L ie algebras

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:21:59.895037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.315481Z digest=sha256:c4b4a9e60b23db360261f4a450b89f8f65030fa10b80cc3a9e3d7f7ba2944053

Observation 89fcc602-ed85-43f7-befd-a33aeec8c831 · outbound

This paper cites Geometric construction of crystal bases.

Square root crystals and the square root of $B(\infty)$ Geometric construction of crystal bases

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:21:59.877613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.320341Z digest=sha256:aa70aad79b9909324a9e8c9f67ae4a5db87b303ba617b513bdae81a8031c6955

Observation 77d6cffb-631a-4c1a-8839-1a5dd7bb14f1 · outbound

This paper cites an unresolved cited work.

Square root crystals and the square root of $B(\infty)$ Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-12T12:21:59.860132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.325983Z digest=sha256:b87617550bc240fccd35b5e654224e338bc8fb829b7bd736deb98b40ea0a6557

Observation 0f286a04-fade-42c3-82e1-503eae26bb8a · outbound

This paper cites Combinatorial aspects of the K -theory of G rassmannians.

Square root crystals and the square root of $B(\infty)$ Combinatorial aspects of the K -theory of G rassmannians

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:21:59.842865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.330897Z digest=sha256:d1b87dbaf39f8d55cb85dc3a84200de8878062bd198d6b474b8e49204b17dc2b

Observation f0faf346-bb7c-4201-9c46-3ba6be7a5f9c · outbound

This paper cites On the combinatorics of crystal graphs.

Square root crystals and the square root of $B(\infty)$ On the combinatorics of crystal graphs

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:21:59.825678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.336329Z digest=sha256:006882272af8c4d64b6204d633f25ef1c26c5028285977cd5eb2497233f0447a

Observation 2b08c636-e28a-4ec5-ae14-30b561bd6c26 · outbound

This paper cites Crystal graphs and Y oung tableaux.

Square root crystals and the square root of $B(\infty)$ Crystal graphs and Y oung tableaux

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:21:59.808446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.341408Z digest=sha256:93ea10f8de2a480785e680baaa72f6151221dde090f32e75b4c11eff9fcc6875

Observation f9a8b31a-5f95-4dbf-830a-8b89ce4907d2 · outbound

This paper cites Cones, crystals, and patterns.

Square root crystals and the square root of $B(\infty)$ Cones, crystals, and patterns

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:21:59.788358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.346482Z digest=sha256:30a9d20ac7ce9d733a254486b86009c9428cd0081891a3d533884930678d6d3e

Observation bf81f5b7-0e06-403b-8e36-0de55d970840 · outbound

This paper cites Lakshmibai, C.

Square root crystals and the square root of $B(\infty)$ Lakshmibai, C

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:21:59.771422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.351661Z digest=sha256:e0dd3cf53411f578c6b1f76266c8daef505bc384e53bebb4a1e0478e57be0061

Observation e1c9ab7a-c89b-43bd-8f33-bc84bf09f995 · outbound

This paper cites Structure de H opf de l'anneau de cohomologie et de l'anneau de G rothendieck d'une vari\'et\'e de drapeaux.

Square root crystals and the square root of $B(\infty)$ Structure de H opf de l'anneau de cohomologie et de l'anneau de G rothendieck d'une vari\'et\'e de drapeaux

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:21:59.754956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.357010Z digest=sha256:b3538fabf25d6ccd4b933625af015cae9202b889bf864093b9297b98757e0d62

Observation 3d28a029-660a-4d8b-97d5-b04ea30733a0 · outbound

This paper cites Symmetry and flag manifolds.

Square root crystals and the square root of $B(\infty)$ Symmetry and flag manifolds

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:21:59.738018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.362387Z digest=sha256:ea563d64f1bce9dd98731e1df65ed3cf6ac6ebbbe867f33d2f11468a9a574de4

Observation 5562331b-70fc-4989-9538-cce86fb4e796 · outbound

This paper cites Keys & standard bases.

Square root crystals and the square root of $B(\infty)$ Keys & standard bases

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:21:59.719670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.367507Z digest=sha256:99ff9c5f491d22747a1e39a0ec4255e99b864e2681a6a4330f678f9945b7c5b7

Observation a2c6dd8b-c313-46af-99c0-4f74d8b13b25 · outbound

This paper cites an unresolved cited work.

Square root crystals and the square root of $B(\infty)$ Unresolved cited work

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-12T12:21:59.373331Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T12:21:59.373331Z digest=sha256:52a7f328922769cbd8b8e036d1a99a3fe36fda364afda1b2afbbbf0530371312

Observation d25acb0c-05e2-45db-bfa8-2d5f0f552ee6 · outbound

This paper cites an unresolved cited work.

Square root crystals and the square root of $B(\infty)$ Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-12T12:21:59.691210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.378953Z digest=sha256:257d4ec9021fff806331d23c7552f83d905533540144ec9a94fd94a1031b8b96

Observation 636fc398-b068-4b7a-bbf5-4779d3999b7e · outbound

This paper cites Introduction to quantum groups , volume 110 of Progress in Mathematics.

Square root crystals and the square root of $B(\infty)$ Introduction to quantum groups , volume 110 of Progress in Mathematics

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-12T12:21:59.384653Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T12:21:59.384653Z digest=sha256:a527d44906d3da8e155dafc13ba0b889e8a4e7076ea2d5eb7eee3030ac843218

Observation b89e1bb5-8cfe-4b8b-b480-e124723748cd · outbound

This paper cites Set-Valued Skyline Fillings.

Square root crystals and the square root of $B(\infty)$ Set-Valued Skyline Fillings

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-12T12:21:59.389698Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T12:21:59.389698Z digest=sha256:ad73c4b6d85d3ab34536958b6df1e991e3cbda35e4833d8601c375b3130cfb29

Observation 2ad0fec7-3469-4939-bed8-6d0203c34b42 · outbound

This paper cites Crystal structures for symmetric G rothendieck polynomials.

Square root crystals and the square root of $B(\infty)$ Crystal structures for symmetric G rothendieck polynomials

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:21:59.662767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.395686Z digest=sha256:8e8e3322f988e9b8e0677586646dc8fbe020d59ad9dfa133b0119f5115a532cc

Observation cd010ef6-323b-4d03-b2a9-b00ff2175254 · outbound

This paper cites Crystals for set-valued decomposition tableaux.

Square root crystals and the square root of $B(\infty)$ Crystals for set-valued decomposition tableaux

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:21:59.646381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.400973Z digest=sha256:a3f8f9ae2925c41aca26346519212d6c02a34ab75cdef230b8171fa8cdb6eb2e

Observation 988e366b-896a-4ccd-9e95-de666d7b1a8b · outbound

This paper cites Grothendieck positivity for normal square root crystals.

Square root crystals and the square root of $B(\infty)$ Grothendieck positivity for normal square root crystals

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:21:59.629683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.405936Z digest=sha256:2516e615671fa4c748d7b1e7af4893de35963580c9783cd290f115ed69ab05e7

Observation 160fb83f-1bbc-4e7c-8c9a-591546977655 · outbound

This paper cites Polyhedral realizations of crystal bases for integrable highest weight modules.

Square root crystals and the square root of $B(\infty)$ Polyhedral realizations of crystal bases for integrable highest weight modules

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:21:59.612857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.411202Z digest=sha256:c8b191d4d40ec121d76a47499098f07c58e32aa5b1b517ade8e9dd4ceaa39c0b

Observation 12c36942-0a34-434c-bda6-d4b6893c8c88 · outbound

This paper cites Polyhedral realizations of crystal bases for quantized K ac-- M oody algebras.

Square root crystals and the square root of $B(\infty)$ Polyhedral realizations of crystal bases for quantized K ac-- M oody algebras

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:21:59.594660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.416230Z digest=sha256:a3b936123bbe06bea3bae33f6e56bd12dae6c6a3898a2825846ae876f7f4b3ae

Observation 2c1c3a43-58e5-49e1-8495-dbbfeefc6909 · outbound

This paper cites K-theoretic crystals for set-valued tableaux of rectangular shapes.

Square root crystals and the square root of $B(\infty)$ K-theoretic crystals for set-valued tableaux of rectangular shapes

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:21:59.576395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.421565Z digest=sha256:58fb8caac30e06eca6ef6875ee2856d906240d094f6667e7d91b6d1acf174fba

Observation f5a3229a-37ba-472b-8d2c-09404944e12f · outbound

This paper cites Combinatorial rules for three bases of polynomials.

Square root crystals and the square root of $B(\infty)$ Combinatorial rules for three bases of polynomials

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:21:59.557959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.426593Z digest=sha256:eec91f539a32a079f5a19581b43c6de578369caa50cd9a3a6a5077ec201bbafd

Observation c5300cad-7652-4647-9c18-f5d6bf3ecb9f · outbound

This paper cites Candidate for the crystal B(- ) for the queer L ie superalgebra.

Square root crystals and the square root of $B(\infty)$ Candidate for the crystal B(- ) for the queer L ie superalgebra

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:21:59.541038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.431379Z digest=sha256:320f228618bca8e051743c384eab7e896597131315dc3f55de124ad3eb95e6da

Observation f3240c50-894c-4396-b28b-40533be4c814 · outbound

This paper cites Grothendieck-to- L ascoux expansions.

Square root crystals and the square root of $B(\infty)$ Grothendieck-to- L ascoux expansions

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:21:59.523012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.436609Z digest=sha256:25296fef9af27fad25bc77ee7f631a571f46c8ed537184c45609ed7f1e21e7b0

Observation 4cf632fb-7af4-407e-990b-abb06fdf2e73 · outbound

This paper cites Set-valued tableaux rule for L ascoux polynomials.

Square root crystals and the square root of $B(\infty)$ Set-valued tableaux rule for L ascoux polynomials

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:21:59.505745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T12:21:59.442115Z digest=sha256:3fb33a2f62c4c08f8c012374565b7e43840ab805ab5f4cda8b7828357641103d

Pith citing papers

No inbound Pith citation observations are available.