Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T00:29:03.710443Z
Paper Citation Record · LEDGER
Using Large Language Models to Study Mathematical Practice
As of 12 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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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
Reference resolution
47 of 47 outbound references displayed
- verified exact24
- verified fuzzy1
- unresolved21
- parse uncertain0
- malformed identifier0
- metadata mismatch1
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
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8de20201-351e-490b-ab3d-f7596d2263d1 · outbound
This paper cites an unresolved cited work.
Using Large Language Models to Study Mathematical Practice Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:29:19.470168Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.
Observation ee81eef6-f727-43af-9e5e-7d1113d28b8d · outbound
This paper cites an unresolved cited work.
Using Large Language Models to Study Mathematical Practice Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:29:17.885478Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1bec72d2-28fd-480d-be05-30d957cc3133 · outbound
This paper cites an unresolved cited work.
Using Large Language Models to Study Mathematical Practice Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:29:17.599177Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 923d3e0e-54d7-46e6-8b9f-dd92154f9b10 · outbound
This paper cites an unresolved cited work.
Using Large Language Models to Study Mathematical Practice Unresolved cited work
Reference 22
- Resolution
- verified exact
- doi, observed 2026-08-07T00:29:04.204404Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation dec3d19a-24b0-4626-8e38-58737daadc4d · outbound
This paper cites an unresolved cited work.
Using Large Language Models to Study Mathematical Practice Unresolved cited work
Reference 24
- Resolution
- verified exact
- doi, observed 2026-08-07T00:29:03.947312Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 308daca9-d371-4978-b871-aceedfdcc7c2 · outbound
This paper cites an unresolved cited work.
Using Large Language Models to Study Mathematical Practice Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:29:17.324725Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 95b39fbd-9e83-44d9-8ac1-8f11b832e2b3 · outbound
This paper cites an unresolved cited work.
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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.
Observation d29112aa-9b75-459a-b58e-95374008f5f5 · outbound
This paper cites an unresolved cited work.
Using Large Language Models to Study Mathematical Practice Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:29:16.820655Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
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 2026-08-12T06:34:41.77262+00:00.
Observation 54284309-02ee-4f71-9ce9-de95c4335b14 · outbound
This paper cites an unresolved cited work.
Using Large Language Models to Study Mathematical Practice Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:29:16.560310Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 807c397e-4c96-4c04-91aa-9f776e4cf448 · outbound
This paper cites an unresolved cited work.
Using Large Language Models to Study Mathematical Practice Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:29:16.321982Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 94d2a149-e18a-44cc-a316-bff610cdc0cf · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 393987cb-8cc5-4355-bc09-25df76e0ed83 · outbound
This paper cites an unresolved cited work.
Using Large Language Models to Study Mathematical Practice Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:29:16.038893Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2c885021-c937-49b9-b44b-57685387c74e · outbound
This paper cites an unresolved cited work.
Using Large Language Models to Study Mathematical Practice Unresolved cited work
Reference 36
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T00:29:02.427431Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8ddd4b28-f040-4544-b010-e7f4f8ebfc24 · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.
Observation 202baa26-14d7-40ed-8e92-8dd216873791 · outbound
This paper cites and David Kushner.
Using Large Language Models to Study Mathematical Practice and David Kushner
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:29:15.790247Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c96d3056-f613-4804-968f-040feef884ee · outbound
This paper cites an unresolved cited work.
Using Large Language Models to Study Mathematical Practice Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:29:15.539137Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+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
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:29:15.298044Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 553a0163-4698-4066-9d0c-44ac24741488 · outbound
This paper cites an unresolved cited work.
Using Large Language Models to Study Mathematical Practice Unresolved cited work
Reference 42
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:29:15.003399Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7bd3379a-7c93-4eaf-a3a5-5afb60a97d21 · outbound
This paper cites an unresolved cited work.
Using Large Language Models to Study Mathematical Practice Unresolved cited work
Reference 43
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:29:14.766842Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation dddae881-793f-436a-9767-df114e3180ee · outbound
This paper cites an unresolved cited work.
Using Large Language Models to Study Mathematical Practice Unresolved cited work
Reference 44
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:29:14.446213Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
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 2026-08-12T06:34:41.77262+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
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:29:14.181023Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.
Pith citing papers
No inbound Pith citation observations are available.