Paper Citation Record · LEDGER

Symplectic Branching through Crystals

As of 8 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2505.21738.

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

pith.paper-citation-record.v1
2505.21738 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:32:03.866425Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T18:02:56.281098Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

16 of 16 outbound references displayed

verified exact2
verified fuzzy13
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9d4655d5-616b-40e9-aeac-7b32e1d2da22 · outbound

This paper cites Four correspondences between graphs and generalized Y oung tableaux.

Symplectic Branching through Crystals Four correspondences between graphs and generalized Y oung tableaux

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:32:07.220259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9f75d1a3-5ec2-468a-ba97-7fcfa0367e3b · outbound

This paper cites Introduction to quantum groups and crystal bases.

Symplectic Branching through Crystals Introduction to quantum groups and crystal bases

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:32:07.003517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c895d2fe-9206-4a42-9da4-a943ad1d8ede · outbound

This paper cites Lectures on quantum groups.

Symplectic Branching through Crystals Lectures on quantum groups

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:32:06.757161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1a4620cd-7711-4693-bbf4-a0b941bb7893 · outbound

This paper cites Quantum symmetric K ac-- M oody pairs.

Symplectic Branching through Crystals Quantum symmetric K ac-- M oody pairs

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:32:06.546367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1e1ee9ad-5bb3-4b54-88c7-f0e409cacd4c · outbound

This paper cites The honeycomb model of gln(c) tensor products i: Proof of the saturation conjecture.

Symplectic Branching through Crystals The honeycomb model of gln(c) tensor products i: Proof of the saturation conjecture

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:32:06.291927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fffe0f63-5d54-4b20-9f74-9013ff120601 · outbound

This paper cites The branching models of Kwon and Sundaram via flagged hives.

Symplectic Branching through Crystals The branching models of Kwon and Sundaram via flagged hives

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:32:04.410419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b4e5a1ac-ece6-4ac9-b6d1-d5acb71ce7eb · outbound

This paper cites Combinatorial extension of stable branching rules for classical groups.

Symplectic Branching through Crystals Combinatorial extension of stable branching rules for classical groups

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:32:06.073047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9871d56a-d739-4469-8b09-25bc06e9a4d5 · outbound

This paper cites The theory of group characters and matrix representations of groups.

Symplectic Branching through Crystals The theory of group characters and matrix representations of groups

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:32:05.866790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 22df5fb6-3dd6-4dbc-9cd8-7377ec762104 · outbound

This paper cites Paths and root operators in representation theory.

Symplectic Branching through Crystals Paths and root operators in representation theory

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:32:05.630384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 93d31032-63fc-4ca3-8808-c9b0b48d2e36 · outbound

This paper cites Combinatorics of generalized exponents.

Symplectic Branching through Crystals Combinatorics of generalized exponents

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:32:05.452708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d0f5e68d-5af8-4603-b06e-ebd8c4bb18ba · outbound

This paper cites An approach to the branching rule from sl_ 2n ( C ) to sp_ 2n ( C ) via L ittelmann's path model.

Symplectic Branching through Crystals An approach to the branching rule from sl_ 2n ( C ) to sp_ 2n ( C ) via L ittelmann's path model

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:32:05.256116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fd55cf09-9199-47d6-a4df-9fdc6204b970 · outbound

This paper cites A proof of the N aito-- S agaki conjecture via the branching rule for quantum groups.

Symplectic Branching through Crystals A proof of the N aito-- S agaki conjecture via the branching rule for quantum groups

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T13:32:03.608501Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4d691f17-4bd7-4065-b27d-e7efd78580cd · outbound

This paper cites A non- L evi branching rule in terms of L ittelmann paths.

Symplectic Branching through Crystals A non- L evi branching rule in terms of L ittelmann paths

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:32:05.035581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 205a4962-bdd3-4af9-8e09-fabd3f40ef4a · outbound

This paper cites On the combinatorics of representations of the symplectic group.

Symplectic Branching through Crystals On the combinatorics of representations of the symplectic group

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:32:04.830443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3edd5862-f5d5-4f92-ad42-5ee7c092707c · outbound

This paper cites Tableaux in the representation theory of the classical L ie groups.

Symplectic Branching through Crystals Tableaux in the representation theory of the classical L ie groups

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:32:04.637190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation db144215-6437-4259-8b3c-74d4f437ec61 · outbound

This paper cites Symplectic tableaux and quantum symmetric pairs.

Symplectic Branching through Crystals Symplectic tableaux and quantum symmetric pairs

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:32:04.041481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

Observation 6b1fd5e0-7111-40e8-a5bf-6ae88f8f7c6d · inbound

The recording tableaux in the quantum Littlewood-Richardson map, the orthogonal transpose symmetry map, and the computation of $\mathfrak{k}$-highest weight tableaux cites this paper.

The recording tableaux in the quantum Littlewood-Richardson map, the orthogonal transpose symmetry map, and the computation of $\mathfrak{k}$-highest weight tableaux Symplectic Branching through Crystals

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T18:02:56.281098Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.