Paper Citation Record · LEDGER

Classical and quantum algorithms for characters of the symmetric group

As of 14 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 2 inbound Pith citation observations for arXiv:2501.12579.

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

pith.paper-citation-record.v1
2501.12579 v2

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T17:12:50.011248Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T05:22:17.678187Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-08T08:04:48.187614Z

Reference resolution

41 of 41 outbound references displayed

verified exact2
verified fuzzy32
unresolved7
parse uncertain0
malformed identifier0
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External citation measurements

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Outbound references

Observation 93082ded-aaea-410a-a98e-41b23962c805 · outbound

This paper cites Interactive shallow clif- ford circuits: quantum advantage against NC 1 and be- yond.

Classical and quantum algorithms for characters of the symmetric group Interactive shallow clif- ford circuits: quantum advantage against NC 1 and be- yond

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.722313Z

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Observation 18548a99-f67f-4fad-b89d-1b0c0e4a91a9 · outbound

This paper cites Minimal permutation repre- sentations of finite groups.

Classical and quantum algorithms for characters of the symmetric group Minimal permutation repre- sentations of finite groups

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.613634Z

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Observation c802fd39-fd8e-4729-a5de-81f9aee6a6d4 · outbound

This paper cites On the complexity of computing characters of finite groups.

Classical and quantum algorithms for characters of the symmetric group On the complexity of computing characters of finite groups

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.599883Z

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Observation b1a05d4a-51cc-4620-9119-59b5de466554 · outbound

This paper cites Posi- tivity of the symmetric group characters is as hard as the polynomial time hierarchy.

Classical and quantum algorithms for characters of the symmetric group Posi- tivity of the symmetric group characters is as hard as the polynomial time hierarchy

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.584902Z

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Observation c3379ca3-4557-496b-85ff-792217d90869 · outbound

This paper cites Slater decomposition of Laughlin states.

Classical and quantum algorithms for characters of the symmetric group Slater decomposition of Laughlin states

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.571322Z

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Observation 381e3185-6d8a-4261-a465-2eda36b626df · outbound

This paper cites Unified Fock space representation of fractional quantum Hall states.

Classical and quantum algorithms for characters of the symmetric group Unified Fock space representation of fractional quantum Hall states

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:12:50.107523Z

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Observation b982c8bb-c233-4e1a-9405-847db380c313 · outbound

This paper cites Fock-space operator construction of Laughlin fractional quantum hall effect states.

Classical and quantum algorithms for characters of the symmetric group Fock-space operator construction of Laughlin fractional quantum hall effect states

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.557669Z

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Observation 72fad2d7-f36b-4a2d-b31e-e4d322b3a814 · outbound

This paper cites Laughlin’s wave functions, coulomb gases and expansions of the discriminant.

Classical and quantum algorithms for characters of the symmetric group Laughlin’s wave functions, coulomb gases and expansions of the discriminant

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.543775Z

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Observation 02d45b9e-6a3f-4274-9a6e-b37cf1a312b1 · outbound

This paper cites Integration with respect to the haar measure on unitary, orthogonal and sym- plectic group.

Classical and quantum algorithms for characters of the symmetric group Integration with respect to the haar measure on unitary, orthogonal and sym- plectic group

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.529396Z

Source-reported events for the cited work

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Observation b0e0bf67-ef33-4e68-9822-aace76dc544b · outbound

This paper cites Group theoretical methods in machine learning.

Classical and quantum algorithms for characters of the symmetric group Group theoretical methods in machine learning

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.515264Z

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Observation 581f4ec8-b1ef-4ee7-9847-daa180f7f593 · outbound

This paper cites Ranking with ker- nels in fourier space.

Classical and quantum algorithms for characters of the symmetric group Ranking with ker- nels in fourier space

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.500819Z

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Observation 66b83730-9dd3-4dbd-88de-fe034e8f2951 · outbound

This paper cites Efficient classical simulation of slightly en- tangled quantum computations.

Classical and quantum algorithms for characters of the symmetric group Efficient classical simulation of slightly en- tangled quantum computations

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.486752Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 80f6d23a-d7db-4637-a2b6-a8a1bae620c3 · outbound

This paper cites Quantum Spin Chains and Symmetric Functions.

Classical and quantum algorithms for characters of the symmetric group Quantum Spin Chains and Symmetric Functions

Reference 13

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Source-reported events for the cited work

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Observation d6765d5f-e468-433d-9514-a9f66b28174e · outbound

This paper cites Noncommutative schur functions and their applications.

Classical and quantum algorithms for characters of the symmetric group Noncommutative schur functions and their applications

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.471603Z

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Observation bf7f5c5f-8856-45df-a04f-cbd0d4e78806 · outbound

This paper cites an unresolved cited work.

Classical and quantum algorithms for characters of the symmetric group Unresolved cited work

Reference 15

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Observation da41e000-1e9e-4d81-8109-ca6eb804e631 · outbound

This paper cites quimb: A python package for quantum in- formation and many-body calculations.

Classical and quantum algorithms for characters of the symmetric group quimb: A python package for quantum in- formation and many-body calculations

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.444264Z

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Observation 591fbfa0-864e-4945-8db4-2e1c86d4af48 · outbound

This paper cites mpnum: A matrix product representation library for python.

Classical and quantum algorithms for characters of the symmetric group mpnum: A matrix product representation library for python

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.428905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b14b336d-6bb0-4485-9c3e-60878e0d836c · outbound

This paper cites Quantum computation of Fourier trans- forms over symmetric groups.

Classical and quantum algorithms for characters of the symmetric group Quantum computation of Fourier trans- forms over symmetric groups

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.415019Z

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Observation 00b611df-364d-4ee7-b189-f9bd89d79380 · outbound

This paper cites The computational complexity of linear optics.

Classical and quantum algorithms for characters of the symmetric group The computational complexity of linear optics

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.400303Z

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Observation c705d11e-e937-4796-a471-b675c8c66f12 · outbound

This paper cites Average-case complexity versus approximate sim- ulation of commuting quantum computations.

Classical and quantum algorithms for characters of the symmetric group Average-case complexity versus approximate sim- ulation of commuting quantum computations

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.385538Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6436d3f1-5ab8-4980-a7df-608527512230 · outbound

This paper cites Computational ad- vantage of quantum random sampling.

Classical and quantum algorithms for characters of the symmetric group Computational ad- vantage of quantum random sampling

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.370572Z

Source-reported events for the cited work

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Observation ce7037cc-94f0-46b2-a843-45ec444341ea · outbound

This paper cites The characters of the symmetric group.

Classical and quantum algorithms for characters of the symmetric group The characters of the symmetric group

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.356718Z

Source-reported events for the cited work

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Observation c010c38c-bc04-4213-97db-3eabe2b65430 · outbound

This paper cites On some modular properties of ir- reducible representations of symmetric groups, ii.

Classical and quantum algorithms for characters of the symmetric group On some modular properties of ir- reducible representations of symmetric groups, ii

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.341412Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4ca640b1-33a8-42ac-b26f-5d8696c4ee98 · outbound

This paper cites Algorithms for the character theory of the symmetric group.

Classical and quantum algorithms for characters of the symmetric group Algorithms for the character theory of the symmetric group

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.326250Z

Source-reported events for the cited work

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Observation 574c2f8b-b154-4add-b586-16c3ff3d2551 · outbound

This paper cites an unresolved cited work.

Classical and quantum algorithms for characters of the symmetric group Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:12:50.311116Z

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Observation 6c840c5a-b737-4274-aed1-2d586e5a758e · outbound

This paper cites Quantum com- plexity of the Kronecker coefficients.

Classical and quantum algorithms for characters of the symmetric group Quantum com- plexity of the Kronecker coefficients

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.296672Z

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Observation c86fc6b4-8693-47e7-b6f5-192bbf6d5a2a · outbound

This paper cites Quantum Algorithms for Representation-Theoretic Multiplicities.

Classical and quantum algorithms for characters of the symmetric group Quantum Algorithms for Representation-Theoretic Multiplicities

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:12:50.069222Z

Source-reported events for the cited work

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Observation d32980c0-3470-4dab-be02-ba343ccbdd15 · outbound

This paper cites Introduction to representation theory, volume 59.

Classical and quantum algorithms for characters of the symmetric group Introduction to representation theory, volume 59

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.282226Z

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Observation 1ab7fbc8-61af-4479-b107-71422b709680 · outbound

This paper cites up by one.

Classical and quantum algorithms for characters of the symmetric group up by one

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.267231Z

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Observation 7469bcea-2312-444b-9b77-b4fc2fd7452c · outbound

This paper cites The density-matrix renormalization group in the age of matrix product states.

Classical and quantum algorithms for characters of the symmetric group The density-matrix renormalization group in the age of matrix product states

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-10T17:12:49.964384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3b2cf31-3f96-4d60-8585-1f1431e5aa67 · outbound

This paper cites GAP – Groups, Algorithms, and Pro- gramming, Version 4.12.2, 2022.

Classical and quantum algorithms for characters of the symmetric group GAP – Groups, Algorithms, and Pro- gramming, Version 4.12.2, 2022

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.243682Z

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Observation 3556df80-2c7e-4b65-9d97-eb9dd32d8cda · outbound

This paper cites an unresolved cited work.

Classical and quantum algorithms for characters of the symmetric group Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:12:50.229199Z

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Observation f65686bc-a7c9-4c3a-bd42-f2e9bf5bd4b7 · outbound

This paper cites Github repository.

Classical and quantum algorithms for characters of the symmetric group Github repository

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.214467Z

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Observation 0a822796-363e-404a-a276-3d952acc1338 · outbound

This paper cites An efficient quantum algorithm for preparation of uniform quantum superpo- sition states.

Classical and quantum algorithms for characters of the symmetric group An efficient quantum algorithm for preparation of uniform quantum superpo- sition states

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.200158Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 644a6054-84a8-40cd-9d7e-b327309c37eb · outbound

This paper cites Enumerative combinatorics: volume 2, volume 62.

Classical and quantum algorithms for characters of the symmetric group Enumerative combinatorics: volume 2, volume 62

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.185319Z

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Observation 4b74bfb9-8a63-43b3-939c-c2e1e20cb711 · outbound

This paper cites Classical simulation of commuting quantum computa- tions implies collapse of the polynomial hierarchy.

Classical and quantum algorithms for characters of the symmetric group Classical simulation of commuting quantum computa- tions implies collapse of the polynomial hierarchy

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.170040Z

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Observation 75b923a4-c2e9-4578-b8a7-6996c50f2ac2 · outbound

This paper cites 10 For any x ∈ S ∩ T one has P1(x) ≤ P0(x) + 1/(10N ) ≤ 1/(10N ϵ) + 1/(10N ) ≤ 1/(5N ϵ) which imples |P2(x) − P1(x)| ≤1/(5N ).

Classical and quantum algorithms for characters of the symmetric group 10 For any x ∈ S ∩ T one has P1(x) ≤ P0(x) + 1/(10N ) ≤ 1/(10N ϵ) + 1/(10N ) ≤ 1/(5N ϵ) which imples |P2(x) − P1(x)| ≤1/(5N )

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.737841Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 148f3dd5-5eec-409e-8215-47dbb247f4cd · outbound

This paper cites The complexity of approximate count- ing.

Classical and quantum algorithms for characters of the symmetric group The complexity of approximate count- ing

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.154789Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9bae8b00-e2c2-4036-86db-2f3fb926659b · outbound

This paper cites Cycle type of random permutations: A toolkit.

Classical and quantum algorithms for characters of the symmetric group Cycle type of random permutations: A toolkit

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-10T17:12:50.001439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2cbc26f8-a442-43a3-8f13-5eb340904919 · outbound

This paper cites an unresolved cited work.

Classical and quantum algorithms for characters of the symmetric group Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:12:50.139223Z

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Observation d6ad18f3-81a7-4829-b25f-446bbee9a374 · outbound

This paper cites The distribution of the number of summands in the partitions of a positive inte- ger.

Classical and quantum algorithms for characters of the symmetric group The distribution of the number of summands in the partitions of a positive inte- ger

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:12:50.123652Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

Observation b9570cd9-78bb-4fbe-b115-1c288ce4e12f · inbound

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group cites this paper.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Classical and quantum algorithms for characters of the symmetric group

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-05T05:22:17.678187Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a3ae53f-7efb-4192-b228-7df8910fd9b9 · inbound

Unitary matrix models, quantized symmetric functions and spin chain cites this paper.

Unitary matrix models, quantized symmetric functions and spin chain Classical and quantum algorithms for characters of the symmetric group

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-07-08T08:04:48.189524Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.