Paper Citation Record · LEDGER

Using Large Language Models to Study Mathematical Practice

As of 13 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2507.02873.

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

pith.paper-citation-record.v1
2507.02873 v1

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:29:03.710443Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

47 of 47 outbound references displayed

verified exact24
verified fuzzy1
unresolved21
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8b915310-bb74-43f6-9605-935a6924bfd0 · outbound

This paper cites Formulas of Verlinde type for non-simply connected groups.

Using Large Language Models to Study Mathematical Practice Formulas of Verlinde type for non-simply connected groups

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:29:13.936859Z

Source-reported events for the cited work

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Observation dcf71bd1-b1df-47a9-b097-7174bb04f19f · outbound

This paper cites The Complex Hyperbolic Geometry of the Moduli Space of Cubic Surfaces.

Using Large Language Models to Study Mathematical Practice The Complex Hyperbolic Geometry of the Moduli Space of Cubic Surfaces

Reference 2

Resolution: metadata mismatch; local_arxiv, observed 2026-08-07T00:29:13.708109Z

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Observation 8de20201-351e-490b-ab3d-f7596d2263d1 · outbound

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Using Large Language Models to Study Mathematical Practice Unresolved cited work

Reference 3

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Observation cd54d4b1-dba0-4303-bb51-784d381f0c3b · outbound

This paper cites an unresolved cited work.

Using Large Language Models to Study Mathematical Practice Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:29:19.210522Z

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Observation 65b057cc-7d1e-4c69-a0c1-08fbf96737d8 · outbound

This paper cites Springer theory in braid groups and the Birman-Ko-Lee monoid.

Using Large Language Models to Study Mathematical Practice Springer theory in braid groups and the Birman-Ko-Lee monoid

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:29:13.471134Z

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Observation 2ccf9051-ad9e-430f-8495-a8b4a6038763 · outbound

This paper cites Three alternating sign matrix identities in search of bijective proofs.

Using Large Language Models to Study Mathematical Practice Three alternating sign matrix identities in search of bijective proofs

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:29:13.191049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2d5ab7d5-7c4f-40a8-b824-d86732394027 · outbound

This paper cites Rigidity and quasi-rigidity of extremal cycles in Hermitian symmetric spaces.

Using Large Language Models to Study Mathematical Practice Rigidity and quasi-rigidity of extremal cycles in Hermitian symmetric spaces

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:29:12.955363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 38da1be1-d99f-45a5-bd75-92883d65306a · outbound

This paper cites an unresolved cited work.

Using Large Language Models to Study Mathematical Practice Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:29:18.950382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5585df32-0e89-403c-9485-0fb37cfb4ef5 · outbound

This paper cites One-dimensional double Hecke algebras and Gaussians.

Using Large Language Models to Study Mathematical Practice One-dimensional double Hecke algebras and Gaussians

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:29:12.723874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ceaa4e9c-0eae-48a1-96e5-b5204a6c04d2 · outbound

This paper cites Local statistics for random domino tilings of the Aztec diamond.

Using Large Language Models to Study Mathematical Practice Local statistics for random domino tilings of the Aztec diamond

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:29:12.423482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 04227b16-cdd3-454b-9c86-2bf451ddc87d · outbound

This paper cites an unresolved cited work.

Using Large Language Models to Study Mathematical Practice Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:29:18.690909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d4fe30c4-114a-42c7-9ed8-b2e8b82b6484 · outbound

This paper cites an unresolved cited work.

Using Large Language Models to Study Mathematical Practice Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:29:18.395948Z

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Observation b36ac9f5-1ce2-4051-85cf-c7a1a5327e91 · outbound

This paper cites an unresolved cited work.

Using Large Language Models to Study Mathematical Practice Unresolved cited work

Reference 13

Resolution: verified exact; doi, observed 2026-08-07T00:29:04.696233Z

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Observation 2824a077-2f6b-4081-a2d9-5a081081d384 · outbound

This paper cites an unresolved cited work.

Using Large Language Models to Study Mathematical Practice Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:29:18.150823Z

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Observation 5c7058cc-05f8-45b4-82ee-e7828e7ac965 · outbound

This paper cites an unresolved cited work.

Using Large Language Models to Study Mathematical Practice Unresolved cited work

Reference 15

Resolution: verified exact; doi, observed 2026-08-07T00:29:04.461867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f199eb5c-8b7a-46c2-81a4-b2a8852a099c · outbound

This paper cites Birational automorphisms of quartic Hessian surfaces.

Using Large Language Models to Study Mathematical Practice Birational automorphisms of quartic Hessian surfaces

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:29:12.147283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d28c2c38-4183-4e3b-9d6c-5e4eecd4d49d · outbound

This paper cites Smoothness and decay properties of the limiting Quicksort density function.

Using Large Language Models to Study Mathematical Practice Smoothness and decay properties of the limiting Quicksort density function

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:29:11.801584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3425e4bb-5777-4fed-a1da-8c2373dda943 · outbound

This paper cites Modular data: the algebraic combinatorics of conformal field theory.

Using Large Language Models to Study Mathematical Practice Modular data: the algebraic combinatorics of conformal field theory

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:29:11.499280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 206ccd56-c016-496c-baa8-55b588e80787 · outbound

This paper cites Combinatorial formulas for products of Thom classes.

Using Large Language Models to Study Mathematical Practice Combinatorial formulas for products of Thom classes

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:29:11.291119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ee81eef6-f727-43af-9e5e-7d1113d28b8d · outbound

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Using Large Language Models to Study Mathematical Practice Unresolved cited work

Reference 20

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Observation 1bec72d2-28fd-480d-be05-30d957cc3133 · outbound

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Using Large Language Models to Study Mathematical Practice Unresolved cited work

Reference 21

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Observation 923d3e0e-54d7-46e6-8b9f-dd92154f9b10 · outbound

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Using Large Language Models to Study Mathematical Practice Unresolved cited work

Reference 22

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Observation 2afb388b-3cb2-42b8-95c2-8f6e5e5e885f · outbound

This paper cites A geometric proof of the existence of Whitney stratifications.

Using Large Language Models to Study Mathematical Practice A geometric proof of the existence of Whitney stratifications

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:29:11.025279Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dec3d19a-24b0-4626-8e38-58737daadc4d · outbound

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Using Large Language Models to Study Mathematical Practice Unresolved cited work

Reference 24

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Observation 308daca9-d371-4978-b871-aceedfdcc7c2 · outbound

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Using Large Language Models to Study Mathematical Practice Unresolved cited work

Reference 25

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Observation 3658b858-09eb-4e65-babf-d0150565c1e8 · outbound

This paper cites A degeneration of stable morphisms and relative stable morphisms.

Using Large Language Models to Study Mathematical Practice A degeneration of stable morphisms and relative stable morphisms

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:29:10.744219Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 95b39fbd-9e83-44d9-8ac1-8f11b832e2b3 · outbound

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Using Large Language Models to Study Mathematical Practice Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:29:17.038894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2b1456cf-fcc7-441a-89b9-73e24627b1ce · outbound

This paper cites Covering theorems and Lebesgue integration.

Using Large Language Models to Study Mathematical Practice Covering theorems and Lebesgue integration

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:29:07.898453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d29112aa-9b75-459a-b58e-95374008f5f5 · outbound

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Using Large Language Models to Study Mathematical Practice Unresolved cited work

Reference 29

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Observation 951e6503-f362-4543-87b5-ef24537e617c · outbound

This paper cites A Little Microlocal Morse Theory.

Using Large Language Models to Study Mathematical Practice A Little Microlocal Morse Theory

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:29:07.353890Z

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Observation efda188f-802b-4453-a6ba-b95545fae61a · outbound

This paper cites Symplectomorphism groups and almost complex structures.

Using Large Language Models to Study Mathematical Practice Symplectomorphism groups and almost complex structures

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:29:07.079241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 54284309-02ee-4f71-9ce9-de95c4335b14 · outbound

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Using Large Language Models to Study Mathematical Practice Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:29:16.560310Z

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Observation 807c397e-4c96-4c04-91aa-9f776e4cf448 · outbound

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Using Large Language Models to Study Mathematical Practice Unresolved cited work

Reference 33

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This paper cites Composition sum identities related to the distribution of coordinate values in a discrete simplex.

Using Large Language Models to Study Mathematical Practice Composition sum identities related to the distribution of coordinate values in a discrete simplex

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:29:06.123738Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 393987cb-8cc5-4355-bc09-25df76e0ed83 · outbound

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Using Large Language Models to Study Mathematical Practice Unresolved cited work

Reference 35

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Observation 2c885021-c937-49b9-b44b-57685387c74e · outbound

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Using Large Language Models to Study Mathematical Practice Unresolved cited work

Reference 36

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This paper cites Remarks on the similarity degree of an operator algebra.

Using Large Language Models to Study Mathematical Practice Remarks on the similarity degree of an operator algebra

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:29:05.687197Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a904fc40-f89f-41fb-8d9a-da353941abfd · outbound

This paper cites Modularity of solvable Artin representations of GO(4)-type.

Using Large Language Models to Study Mathematical Practice Modularity of solvable Artin representations of GO(4)-type

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:29:05.403026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 202baa26-14d7-40ed-8e92-8dd216873791 · outbound

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Using Large Language Models to Study Mathematical Practice and David Kushner

Reference 39

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Using Large Language Models to Study Mathematical Practice Unresolved cited work

Reference 40

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 01ef49d3-faf6-42c6-8e73-2937f8fd595a · outbound

This paper cites an unresolved cited work.

Using Large Language Models to Study Mathematical Practice Unresolved cited work

Reference 41

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Using Large Language Models to Study Mathematical Practice Unresolved cited work

Reference 42

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Using Large Language Models to Study Mathematical Practice Unresolved cited work

Reference 43

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dddae881-793f-436a-9767-df114e3180ee · outbound

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Using Large Language Models to Study Mathematical Practice Unresolved cited work

Reference 44

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Observation 588c9831-fae0-479e-b7e3-2be8f94ef0d4 · outbound

This paper cites Global regularity of wave maps I. Small critical Sobolev norm in high dimension.

Using Large Language Models to Study Mathematical Practice Global regularity of wave maps I. Small critical Sobolev norm in high dimension

Reference 45

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:29:05.145314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dfe5d257-6dd8-4821-a62d-60ad5c79536a · outbound

This paper cites an unresolved cited work.

Using Large Language Models to Study Mathematical Practice Unresolved cited work

Reference 46

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4baf76b4-6108-4bb6-8763-42970c2213ad · outbound

This paper cites From Mennicke symbols to Euler class groups.

Using Large Language Models to Study Mathematical Practice From Mennicke symbols to Euler class groups

Reference 47

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:29:04.906937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.