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Paper Citation Record · LEDGER

Field-independent Kronecker-plethysm isomorphisms

As of 3 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 3 inbound Pith citation observations for arXiv:2509.10069.

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

pith.paper-citation-record.v1
2509.10069 v2

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-18T17:59:17.313952Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-03T06:30:56.289259+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T22:21:42.279461Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T22:17:41.955599Z

Reference resolution

24 of 24 outbound references displayed

  • verified exact1
  • verified fuzzy23
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e726a512-7ac1-4b96-98bb-221a8879ec17 · outbound

This paper cites Koszul modules and G reen's conjecture.

Field-independent Kronecker-plethysm isomorphisms Koszul modules and G reen's conjecture

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T18:02:47.208328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-05-18T17:59:17.313952Z digest=sha256:bd544660877960c9ee7672e388ad57f0d32a5a7de0a69222b39255ef02a7b3fb

Observation e43c0d48-9436-484e-b73b-91b75114acc9 · outbound

This paper cites An overview of mathematical issues arising in the geometric complexity theory approach to V P V N P.

Field-independent Kronecker-plethysm isomorphisms An overview of mathematical issues arising in the geometric complexity theory approach to V P V N P

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T18:02:47.233118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-05-18T17:59:17.313952Z digest=sha256:fdbf001de96a6d9f2409ad568c3d1dee46af83e196fc8b6d2733eb348641a5a6

Observation 2e797d72-a3df-4012-b1dd-8b0e07bcdbf1 · outbound

This paper cites The lattice of integer partitions.

Field-independent Kronecker-plethysm isomorphisms The lattice of integer partitions

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T18:02:47.214851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-05-18T17:59:17.313952Z digest=sha256:fba3426319ca98cbe4d25ffb85422fc296fb8cc9cfa554bda0d7b65b12c914c8

Observation 50cc2291-40c1-4e6b-84c5-fcee8596e6fe · outbound

This paper cites Permanent versus determinant, obstructions, and K ronecker coefficients.

Field-independent Kronecker-plethysm isomorphisms Permanent versus determinant, obstructions, and K ronecker coefficients

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T18:02:47.201048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-05-18T17:59:17.313952Z digest=sha256:a07521ffb940e2d9c7db3f8578f93f7266441fcd7271471535f58608c7f516be

Observation 126cb685-95b6-4ca3-8a5c-f201ddfb7247 · outbound

This paper cites Completeness classes in algebraic complexity theory.

Field-independent Kronecker-plethysm isomorphisms Completeness classes in algebraic complexity theory

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-18T18:01:43.782230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-05-18T17:59:17.313952Z digest=sha256:49af830ce92b1a078e12e6a9da220f874ae786870d6bafe4e63d9cc8b9cf7038

Observation e9de475e-ef3b-4391-ad87-59dfe8608eaa · outbound

This paper cites An Introduction to Quiver Representations.

Field-independent Kronecker-plethysm isomorphisms An Introduction to Quiver Representations

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T18:02:47.267842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-05-18T17:59:17.313952Z digest=sha256:302da1f6435b41e8e68f3fd4fc1ca2dd2ad2c3be17ab063a4c5503fff607b9d7

Observation f817799c-934a-4ec5-bfc5-bc262b47bc00 · outbound

This paper cites Representation theory: a first course , volume 129.

Field-independent Kronecker-plethysm isomorphisms Representation theory: a first course , volume 129

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T18:02:47.219662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-05-18T17:59:17.313952Z digest=sha256:d5b1b422aa8ebd1b4233e3b5ec5d32cfadb44e50be68bed8043d8d753722262a

Observation 2d9c0597-ec7e-4f93-9d2c-09bf109534d8 · outbound

This paper cites The computational complexity of plethysm coefficients.

Field-independent Kronecker-plethysm isomorphisms The computational complexity of plethysm coefficients

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T18:02:47.264035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-05-18T17:59:17.313952Z digest=sha256:63995da5cd38e794c2d4786d0c7e2ca49e5aeec1fc8c8413035b6bb0b8e9ad86

Observation 3dad76e1-27dd-4ad7-bd37-cfd7114c59e7 · outbound

This paper cites Geometric Complexity Theory, Tensor Rank, and L ittlewood- R ichardson Coefficients.

Field-independent Kronecker-plethysm isomorphisms Geometric Complexity Theory, Tensor Rank, and L ittlewood- R ichardson Coefficients

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T18:02:47.286368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-05-18T17:59:17.313952Z digest=sha256:a66924e6bb49604b50991399e0ff39189174d79c413efa47e0b7411a40649c42

Observation 649066e5-97c4-429e-90a9-fc99135ecf43 · outbound

This paper cites On vanishing of K ronecker coefficients.

Field-independent Kronecker-plethysm isomorphisms On vanishing of K ronecker coefficients

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T18:02:47.222430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-05-18T17:59:17.313952Z digest=sha256:6c916338d398d7532933c4ae903cbeb4b0d3fbed171c08df7303016cbfd49697

Observation c8a8dcda-36fa-40c5-b11e-cd90653fa65e · outbound

This paper cites Rectangular K ronecker coefficients and plethysms in geometric complexity theory.

Field-independent Kronecker-plethysm isomorphisms Rectangular K ronecker coefficients and plethysms in geometric complexity theory

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T18:02:47.245565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-05-18T17:59:17.313952Z digest=sha256:9eaad404cc7104de43dd733aade75f7374e23eb890fe196489e4da739a14a28b

Observation b0632347-61ad-4157-a843-77d25a557e72 · outbound

This paper cites The -structure of the G reen ring of G L (2, F _p ) in characteristic p , I I.

Field-independent Kronecker-plethysm isomorphisms The -structure of the G reen ring of G L (2, F _p ) in characteristic p , I I

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T18:02:47.225708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-05-18T17:59:17.313952Z digest=sha256:45c74ae8cc3fe2c1c508b13641d886f770d0033ad3da5abe2c8dd0f88c905487

Observation 8dedc53e-17da-4382-98fa-2bfd4c4d1e75 · outbound

This paper cites Undergraduate algebra.

Field-independent Kronecker-plethysm isomorphisms Undergraduate algebra

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T18:02:47.218932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-05-18T17:59:17.313952Z digest=sha256:9b7166fa02bdcc36fb99a18efe813fe819d42b2afa285ce94668e0d420fc66c6

Observation 064aa03e-86e5-41ef-99cf-c421967e9b4e · outbound

This paper cites Algebra , volume 211.

Field-independent Kronecker-plethysm isomorphisms Algebra , volume 211

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T18:02:47.271124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-05-18T17:59:17.313952Z digest=sha256:27638175e5cddaa5d4779d1eca92785fd0680b201935a28e4891fc2eaedadb06

Observation 00347153-2762-4ba2-b3bc-a6f789f09363 · outbound

This paper cites On rectangular K ronecker coefficients.

Field-independent Kronecker-plethysm isomorphisms On rectangular K ronecker coefficients

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T18:02:47.228962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-05-18T17:59:17.313952Z digest=sha256:e71fe55468b4fcc97e3a0737e373afe4bd2cb00e04efbe8cf6ef6669a843d70e

Observation 7bcb276c-13e0-473e-9d90-a5ff734193e0 · outbound

This paper cites Representations of the general linear group with multilinear constructions.

Field-independent Kronecker-plethysm isomorphisms Representations of the general linear group with multilinear constructions

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T18:02:47.249964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-05-18T17:59:17.313952Z digest=sha256:4c0390b61fb9d1269910e2e1905888ba1576f44da85dde5f33751910d46a806f

Observation ca7cb6d7-be76-4df9-9479-d5a5a1bb9214 · outbound

This paper cites Modular plethystic isomorphisms for two-dimensional linear groups.

Field-independent Kronecker-plethysm isomorphisms Modular plethystic isomorphisms for two-dimensional linear groups

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T18:02:47.278509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-05-18T17:59:17.313952Z digest=sha256:f6361cdd53b0e53c002776061a929bb82031c4ed65ac5ed42ef2e3e2dcc3a028

Observation 6133c103-0b00-42fa-93d5-06026f4787b0 · outbound

This paper cites Unimodality of G aussian coefficients: a constructive proof.

Field-independent Kronecker-plethysm isomorphisms Unimodality of G aussian coefficients: a constructive proof

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T18:02:47.254799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-05-18T17:59:17.313952Z digest=sha256:af6a23e8dbb1cfba663ed64fd5ae02a156f45478c1f8c8f7fec10a68e19b2313

Observation 5065b685-61a8-46ad-a5ee-ab1f8ff9a3ea · outbound

This paper cites Strict unimodality of q-binomial coefficients.

Field-independent Kronecker-plethysm isomorphisms Strict unimodality of q-binomial coefficients

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T18:02:47.258823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-05-18T17:59:17.313952Z digest=sha256:9286f0647fa84d6ea1eae78103439a97cea61ec7c8cd96e2021fc6a9236e9501

Observation e9bd9071-fb02-4f55-b32e-bfb818643666 · outbound

This paper cites Unimodality via K ronecker products.

Field-independent Kronecker-plethysm isomorphisms Unimodality via K ronecker products

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T18:02:47.241333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-05-18T17:59:17.313952Z digest=sha256:87da8a92008120d7aa93fd41fb41273576360cf44957fddcebae42b8ff320b62

Observation 79fbee7d-58ad-4c90-9e6b-05fe957b8ef4 · outbound

This paper cites Hermite reciprocity and S chwarzenberger bundles.

Field-independent Kronecker-plethysm isomorphisms Hermite reciprocity and S chwarzenberger bundles

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T18:02:47.282420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-05-18T17:59:17.313952Z digest=sha256:d2743fec97fa27a541bcc3619040884c09434bfae5afb1d17153203ebdeb484c

Observation dbc2cd82-67b9-48d9-81b7-2555992af431 · outbound

This paper cites Positivity problems and conjectures in algebraic combinatorics.

Field-independent Kronecker-plethysm isomorphisms Positivity problems and conjectures in algebraic combinatorics

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T18:02:47.237201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-05-18T17:59:17.313952Z digest=sha256:895d1a11455c10de9d4a93184d1f1850e49cf2b63a485c15650dc324c73c5567

Observation 601ec9f6-a1c8-4089-8f5f-2582cdcd9646 · outbound

This paper cites Algorithms in invariant theory.

Field-independent Kronecker-plethysm isomorphisms Algorithms in invariant theory

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T18:02:47.211729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-05-18T17:59:17.313952Z digest=sha256:c68a3cb3a1be57592a19c3082216b6d0d0e839907aec719b96f994f2bfe6c2b4

Observation f853d87e-c5e0-4669-9f33-fa8113525666 · outbound

This paper cites Skowroński and Jerzy Weyman.

Field-independent Kronecker-plethysm isomorphisms Skowroński and Jerzy Weyman

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T18:02:47.274566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-05-18T17:59:17.313952Z digest=sha256:572f27e36a68eca67a4ae35416ee5fab6cb84ef8f3b1308b741d6a0ae8ec16cd

Pith citing papers

Observation 7f1d6d1a-7829-4d9e-acdf-156eb02314e3 · inbound

Kronecker products and iterated matrix multiplication cites this paper.

Kronecker products and iterated matrix multiplication Field-independent Kronecker-plethysm isomorphisms

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-07-02T22:57:26.368762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-06-27T18:33:44.532203Z digest=sha256:6708f4779670ebdcb70411ab69eeddd05a8ab0e7473b6a70ae0a65db0a3b06a7

Observation fe1b91ed-5de5-4eca-9269-5eea25d4bae3 · inbound

A field-independent filtration of plethystic modules for $\mathrm{SL}_2(\mathbb{F})$ that categorifies a product rule for the Cartan subalgebra of $\mathcal{U}_q(\mathfrak{sl}_2)$ cites this paper.

A field-independent filtration of plethystic modules for $\mathrm{SL}_2(\mathbb{F})$ that categorifies a product rule for the Cartan subalgebra of $\mathcal{U}_q(\mathfrak{sl}_2)$ Field-independent Kronecker-plethysm isomorphisms

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-07-10T22:17:41.971376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-07-10T22:07:46.424321Z digest=sha256:3b33b55242f9664055d26bbe2db7c612acb6ac16e592f4a1737640129a0ff068

Observation 279ba153-1321-4614-92d4-d4d1f209028a · inbound

Counting in logarithmic space cites this paper.

Counting in logarithmic space Field-independent Kronecker-plethysm isomorphisms

Reference 2017

Resolution
unresolved
no resolver link, observed 2026-08-01T22:21:42.279461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:21:42.279461Z digest=sha256:78bad09784ea9dad9c2cc5d4267499821fc75f80af5805b1405201ac6a64c892