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Paper Citation Record · LEDGER

CALT: A Library for Computer Algebra with Transformer

As of 8 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2506.08600.

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

pith.paper-citation-record.v1
2506.08600 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:12:23.600904Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy17
  • unresolved1
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 26eecbf9-5468-4857-9598-40b257ab8cf3 · outbound

This paper cites Global Lyapunov functions: a long-standing open problem in mathematics, with symbolic transformers, 2024.

CALT: A Library for Computer Algebra with Transformer Global Lyapunov functions: a long-standing open problem in mathematics, with symbolic transformers, 2024

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:12:23.910370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:12:23.514598Z digest=sha256:4e46873025310a844396d38dcb253c70132f040809dc853213b9eec29bf98ac9

Observation 67b4f29a-d770-438e-8df1-2e5fddda003f · outbound

This paper cites Linear algebra with transformers.

CALT: A Library for Computer Algebra with Transformer Linear algebra with transformers

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:12:23.895074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:12:23.519690Z digest=sha256:abdd20c533309b0436e5269c64c162f880dc430933ab7bd2019f845559d4c6b4

Observation 3e1c69e1-3504-4e29-be04-3e335bf8d8a3 · outbound

This paper cites Int2Int : a framework for mathematics with transformers, 2025.

CALT: A Library for Computer Algebra with Transformer Int2Int : a framework for mathematics with transformers, 2025

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:12:23.880605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:12:23.524976Z digest=sha256:849751ea489a165dcb52f2c5325042a9e0ba38b5bbee6e2a2497d743cd8f8290

Observation ef97a1e5-6afa-41a5-8b12-d21d193a2231 · outbound

This paper cites Decision transformer: Reinforcement learning via sequence modeling.

CALT: A Library for Computer Algebra with Transformer Decision transformer: Reinforcement learning via sequence modeling

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:12:23.866367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:12:23.530129Z digest=sha256:2dbe2c78ec866e412ed07be22db6a159e446274e5149eff60ec5b017b1b93a08

Observation fb3ba1c9-5c9f-4893-8197-d3a5d1c0acc5 · outbound

This paper cites An image is worth 16x16 words: Transformers for image recognition at scale.

CALT: A Library for Computer Algebra with Transformer An image is worth 16x16 words: Transformers for image recognition at scale

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:12:23.852135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:12:23.534893Z digest=sha256:3224599f68c52eec9dfa70cf7a416b87768c6278b460c802f2080980441f9be6

Observation 80b393c3-b8df-4b70-bbe2-4e3a00e0fce4 · outbound

This paper cites R.-S., Tesileanu, T., Cho, K., and Ho, S.

CALT: A Library for Computer Algebra with Transformer R.-S., Tesileanu, T., Cho, K., and Ho, S

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:12:23.836404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:12:23.539593Z digest=sha256:f230a0e3d812d7d25321e1823e7c133bb99fa9f046d2c51142cb1e45637b4a95

Observation 33ae37e0-6b9d-4050-a917-eff63d46ede5 · outbound

This paper cites Deep Learning.

CALT: A Library for Computer Algebra with Transformer Deep Learning

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:12:23.822764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:12:23.544975Z digest=sha256:92ed81d5e104040a624cfab21d3e248f534d8aae326b8ce83672fd23a612582c

Observation 56c96aad-538e-4f99-86d1-073f4eb8518d · outbound

This paper cites Transformers: State-of-the-art Machine Learning for Pytorch, TensorFlow, and JAX , 2024.

CALT: A Library for Computer Algebra with Transformer Transformers: State-of-the-art Machine Learning for Pytorch, TensorFlow, and JAX , 2024

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:12:23.808163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:12:23.549542Z digest=sha256:ec0caea9862dcaf72a9ad5185be45ace1c7d9872143267cc1a0335f657ea843e

Observation 5e4c2e65-c0ba-40fa-b0cd-8aeee2b8fea0 · outbound

This paper cites Geometric generality of transformer-based gr\"obner basis computation, 2025.

CALT: A Library for Computer Algebra with Transformer Geometric generality of transformer-based gr\"obner basis computation, 2025

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:12:23.792741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:12:23.555211Z digest=sha256:2ad00ff9cb239c2724b4cb509a6389a52072d3fefe1f03fbe83d0876a5fae353

Observation 3f0b1808-dc9e-4775-b199-9fb6c088bc4e · outbound

This paper cites Learning to compute Gr\"obner bases, 2024.

CALT: A Library for Computer Algebra with Transformer Learning to compute Gr\"obner bases, 2024

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:12:23.777277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:12:23.559602Z digest=sha256:922ab16ddcf90b57054630b0faabc6244dbb8652a03554f2118accac5b195a5e

Observation 41f8ccc1-b207-40bc-afee-0d1c5d7ebdcb · outbound

This paper cites Computational algebra with attention: Transformer oracles for border basis algorithms, 2025.

CALT: A Library for Computer Algebra with Transformer Computational algebra with attention: Transformer oracles for border basis algorithms, 2025

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:12:23.762706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:12:23.563891Z digest=sha256:c9dfd56b203d35d8cc2d129cedfc270227b8bb04542702f7a3d73485f9b6de87

Observation 30b7f7de-dad6-4708-9c03-c60d16d5834e · outbound

This paper cites Transformers provably solve parity efficiently with chain of thought.

CALT: A Library for Computer Algebra with Transformer Transformers provably solve parity efficiently with chain of thought

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:12:23.748066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:12:23.568478Z digest=sha256:890732424371ac486a182e51517a631437ea26eabb41fb551d5dfdb52c42444e

Observation 6af8dc57-9a62-4ab0-b666-4429ff23e8d9 · outbound

This paper cites Deep learning for symbolic mathematics.

CALT: A Library for Computer Algebra with Transformer Deep learning for symbolic mathematics

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:12:23.733539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:12:23.573388Z digest=sha256:12a10c31a2faa05a14f1ac12568dd15ce3ceb090600347ea04b17daf7d960d01

Observation 4966cbe0-61e7-4727-9824-7bce85752793 · outbound

This paper cites P yTorch: The P yTorch Machine Learning Framework , 2024.

CALT: A Library for Computer Algebra with Transformer P yTorch: The P yTorch Machine Learning Framework , 2024

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:12:23.718497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:12:23.578091Z digest=sha256:09a8bac65ca615f4bbb63f27f0c11358678ef64ec8d304783286025221048abd

Observation 358fed9f-f676-4c1d-b82c-2285c50b5052 · outbound

This paper cites Teaching transformers modular arithmetic at scale, 2024.

CALT: A Library for Computer Algebra with Transformer Teaching transformers modular arithmetic at scale, 2024

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:12:23.702142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:12:23.582457Z digest=sha256:b02c11aede81adde62bca44b3a4a3fbae5e890a92e069c85f21197129230ccc4

Observation 59825bdc-9423-40a2-8c16-465a84e9dfe8 · outbound

This paper cites T., Li, Y., and Zhang, Y.

CALT: A Library for Computer Algebra with Transformer T., Li, Y., and Zhang, Y

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:12:23.685596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:12:23.587037Z digest=sha256:35f010d9ed9ff75c1de3521ad1ce3a24e9f378411467c59ecdee88fcb2b6fa83

Observation 5117f9d0-a774-4f1c-98dd-0838a6df54d3 · outbound

This paper cites S ageMath, the S age M athematics S oftware S ystem ( V ersion 10.0) , 2023.

CALT: A Library for Computer Algebra with Transformer S ageMath, the S age M athematics S oftware S ystem ( V ersion 10.0) , 2023

Reference 17

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T05:12:23.670035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:12:23.591358Z digest=sha256:203b962869c26d788581739cab3f8cecb3ef6b13530521076b48f71cb8e01e2b

Observation 1c257308-720b-496a-928a-25bcc4179e3e · outbound

This paper cites N., Kaiser, L.

CALT: A Library for Computer Algebra with Transformer N., Kaiser, L

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:12:23.653877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:12:23.596298Z digest=sha256:278babceea7675ef66d92ee88222e3c2bcb860f6f0baf7534a3f192daed072d1

Observation 17dee24c-5f5a-4643-9749-6611eee4e018 · outbound

This paper cites an unresolved cited work.

CALT: A Library for Computer Algebra with Transformer Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:12:23.638432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:12:23.600904Z digest=sha256:f3c4d7b5f8c295c1b2f93d6f54bc877ef2109d4890ee596b063a1fed4378cf88

Pith citing papers

No inbound Pith citation observations are available.