Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T12:21:59.442115Z
Paper Citation Record · LEDGER
As of 16 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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T12:21:59.442115Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
52 of 52 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation a4c36545-6372-41d1-b191-8877fcf013cd · outbound
Square root crystals and the square root of $B(\infty)$ Multiline queues with spectral parameters
Reference 1
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.
Observation 9eaffb62-ee97-4d96-9132-fda32d55702d · outbound
Square root crystals and the square root of $B(\infty)$ Unresolved cited work
Reference 2
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.
Observation b59750f1-3da2-4ad7-abc6-f744eef75afc · outbound
Square root crystals and the square root of $B(\infty)$ Crystal bases for the quantum superalgebra U_q( gl (m,n))
Reference 3
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.
Observation b1dccf90-1ea2-4310-a2f4-db0349f20a03 · outbound
Square root crystals and the square root of $B(\infty)$ Lie groups and L ie algebras
Reference 4
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.
Observation bbfeef3c-2356-4b42-905b-3bd74b9dfcd8 · outbound
Square root crystals and the square root of $B(\infty)$ Crystal bases
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b38c7e24-25fa-4208-87b5-04503ab4d264 · outbound
Square root crystals and the square root of $B(\infty)$ Colored five-vertex models and L ascoux polynomials and atoms
Reference 6
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.
Observation a3c6375d-3c1f-4890-8ae7-1d416ded7387 · outbound
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
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.
Observation 4372ed32-8e66-4e5b-b208-b9ea52cafba4 · outbound
Square root crystals and the square root of $B(\infty)$ String bases for quantum groups of type A_r
Reference 8
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.
Observation af442e06-16dc-4502-af95-835701f2dbb1 · outbound
Square root crystals and the square root of $B(\infty)$ Tensor product multiplicities, canonical bases and totally positive varieties
Reference 9
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.
Observation f7aff5a1-5430-4ca0-b2af-0974396252ea · outbound
Square root crystals and the square root of $B(\infty)$ Crystal bases and Y oung tableaux
Reference 10
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.
Observation e1ea319e-49d9-4897-940c-a8cb51dfd697 · outbound
Square root crystals and the square root of $B(\infty)$ Representation theory , volume 129 of Graduate Texts in Mathematics
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 73a771f7-f9b5-485e-9b08-18dc84501fbf · outbound
Square root crystals and the square root of $B(\infty)$ Kirillov
Reference 12
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.
Observation 0567a447-f49e-4818-95df-075bb1cb0db3 · outbound
Square root crystals and the square root of $B(\infty)$ Quantum queer superalgebra and crystal bases
Reference 13
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.
Observation 2871d563-ab4b-4bb1-9392-643ca5c884e4 · outbound
Square root crystals and the square root of $B(\infty)$ Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1a52abfa-8c87-49ff-84c2-a322fa0613c0 · outbound
Square root crystals and the square root of $B(\infty)$ Grojnowski and G
Reference 15
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.
Observation 674dc3c8-e7fc-40e1-a69a-77235c3b31e4 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fe374bed-ea4c-4118-88f1-d81bcbb40dcb · outbound
Square root crystals and the square root of $B(\infty)$ Young tableaux and crystal B( ) for finite simple L ie algebras
Reference 17
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.
Observation 272c769d-688b-4a73-a232-e044e51e07cc · outbound
Square root crystals and the square root of $B(\infty)$ Humphreys
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8279d2e1-6eff-4a03-bb94-4df79ad1b48e · outbound
Square root crystals and the square root of $B(\infty)$ Humphreys
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a25c504b-91a7-4645-981e-6e4fbf902507 · outbound
Square root crystals and the square root of $B(\infty)$ Humphreys
Reference 20
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.
Observation 04e50eff-9021-4762-97ac-fdd250d20123 · outbound
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
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.
Observation 9df7b3d2-8ba7-4232-ad05-a46566415e7f · outbound
Square root crystals and the square root of $B(\infty)$ Mirkovi\'c-- V ilonen cycles and polytopes
Reference 22
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.
Observation 5e756c31-0e88-484b-9c0c-e5130543d069 · outbound
Square root crystals and the square root of $B(\infty)$ Crystalizing the q -analogue of universal enveloping algebras
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 946cefa6-2bc2-4230-9df9-7aa860be9d0b · outbound
Square root crystals and the square root of $B(\infty)$ Kashiwara
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bf5021c7-70c1-45c3-8c40-dc61bcf9c9cd · outbound
Square root crystals and the square root of $B(\infty)$ The crystal base and L ittelmann's refined D emazure character formula
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation accdec05-13fe-4974-8519-65682f2180d7 · outbound
Square root crystals and the square root of $B(\infty)$ On crystal bases
Reference 26
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.
Observation 4ebc7fbf-8fdb-41ca-b2a9-dc07dbac8fda · outbound
Square root crystals and the square root of $B(\infty)$ Kirillov
Reference 27
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.
Observation 227af695-fdef-48bb-9ea7-f5d2dfacdfa6 · outbound
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
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.
Observation 89fcc602-ed85-43f7-befd-a33aeec8c831 · outbound
Square root crystals and the square root of $B(\infty)$ Geometric construction of crystal bases
Reference 29
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.
Observation 77d6cffb-631a-4c1a-8839-1a5dd7bb14f1 · outbound
Square root crystals and the square root of $B(\infty)$ Unresolved cited work
Reference 30
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.
Observation 0f286a04-fade-42c3-82e1-503eae26bb8a · outbound
Square root crystals and the square root of $B(\infty)$ Combinatorial aspects of the K -theory of G rassmannians
Reference 31
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.
Observation f0faf346-bb7c-4201-9c46-3ba6be7a5f9c · outbound
Square root crystals and the square root of $B(\infty)$ On the combinatorics of crystal graphs
Reference 32
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.
Observation 2b08c636-e28a-4ec5-ae14-30b561bd6c26 · outbound
Square root crystals and the square root of $B(\infty)$ Crystal graphs and Y oung tableaux
Reference 33
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.
Observation f9a8b31a-5f95-4dbf-830a-8b89ce4907d2 · outbound
Square root crystals and the square root of $B(\infty)$ Cones, crystals, and patterns
Reference 34
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.
Observation bf81f5b7-0e06-403b-8e36-0de55d970840 · outbound
Square root crystals and the square root of $B(\infty)$ Lakshmibai, C
Reference 35
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.
Observation e1c9ab7a-c89b-43bd-8f33-bc84bf09f995 · outbound
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
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.
Observation 3d28a029-660a-4d8b-97d5-b04ea30733a0 · outbound
Square root crystals and the square root of $B(\infty)$ Symmetry and flag manifolds
Reference 37
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.
Observation 5562331b-70fc-4989-9538-cce86fb4e796 · outbound
Square root crystals and the square root of $B(\infty)$ Keys & standard bases
Reference 38
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.
Observation a2c6dd8b-c313-46af-99c0-4f74d8b13b25 · outbound
Square root crystals and the square root of $B(\infty)$ Unresolved cited work
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d25acb0c-05e2-45db-bfa8-2d5f0f552ee6 · outbound
Square root crystals and the square root of $B(\infty)$ Unresolved cited work
Reference 40
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.
Observation 636fc398-b068-4b7a-bbf5-4779d3999b7e · outbound
Square root crystals and the square root of $B(\infty)$ Introduction to quantum groups , volume 110 of Progress in Mathematics
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b89e1bb5-8cfe-4b8b-b480-e124723748cd · outbound
Square root crystals and the square root of $B(\infty)$ Set-Valued Skyline Fillings
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2ad0fec7-3469-4939-bed8-6d0203c34b42 · outbound
Square root crystals and the square root of $B(\infty)$ Crystal structures for symmetric G rothendieck polynomials
Reference 43
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.
Observation cd010ef6-323b-4d03-b2a9-b00ff2175254 · outbound
Square root crystals and the square root of $B(\infty)$ Crystals for set-valued decomposition tableaux
Reference 44
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.
Observation 988e366b-896a-4ccd-9e95-de666d7b1a8b · outbound
Square root crystals and the square root of $B(\infty)$ Grothendieck positivity for normal square root crystals
Reference 45
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.
Observation 160fb83f-1bbc-4e7c-8c9a-591546977655 · outbound
Square root crystals and the square root of $B(\infty)$ Polyhedral realizations of crystal bases for integrable highest weight modules
Reference 46
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.
Observation 12c36942-0a34-434c-bda6-d4b6893c8c88 · outbound
Square root crystals and the square root of $B(\infty)$ Polyhedral realizations of crystal bases for quantized K ac-- M oody algebras
Reference 47
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.
Observation 2c1c3a43-58e5-49e1-8495-dbbfeefc6909 · outbound
Square root crystals and the square root of $B(\infty)$ K-theoretic crystals for set-valued tableaux of rectangular shapes
Reference 48
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.
Observation f5a3229a-37ba-472b-8d2c-09404944e12f · outbound
Square root crystals and the square root of $B(\infty)$ Combinatorial rules for three bases of polynomials
Reference 49
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.
Observation c5300cad-7652-4647-9c18-f5d6bf3ecb9f · outbound
Square root crystals and the square root of $B(\infty)$ Candidate for the crystal B(- ) for the queer L ie superalgebra
Reference 50
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.
Observation f3240c50-894c-4396-b28b-40533be4c814 · outbound
Square root crystals and the square root of $B(\infty)$ Grothendieck-to- L ascoux expansions
Reference 51
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.
Observation 4cf632fb-7af4-407e-990b-abb06fdf2e73 · outbound
Square root crystals and the square root of $B(\infty)$ Set-valued tableaux rule for L ascoux polynomials
Reference 52
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.
No inbound Pith citation observations are available.