Paper Citation Record · LEDGER

How Numerical Precision Affects Arithmetical Reasoning Capabilities of LLMs

As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2410.13857.

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

pith.paper-citation-record.v1
2410.13857 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:54:14.204402Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

2
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 26811f73-94ab-462d-820a-9fff8ea58d6b · inbound

Low-Bit Quantization Favors Undertrained LLMs: Scaling Laws for Quantized LLMs with 100T Training Tokens cites this paper.

Low-Bit Quantization Favors Undertrained LLMs: Scaling Laws for Quantized LLMs with 100T Training Tokens How Numerical Precision Affects Arithmetical Reasoning Capabilities of LLMs

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-12T11:54:14.204402Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a20aa124-19bc-45f0-874c-eda0e7b4521b · inbound

Lower Bounds for Chain-of-Thought Reasoning in Hard-Attention Transformers cites this paper.

Lower Bounds for Chain-of-Thought Reasoning in Hard-Attention Transformers How Numerical Precision Affects Arithmetical Reasoning Capabilities of LLMs

Reference 5

Resolution: malformed identifier; no resolver link, observed 2026-08-09T12:23:57.814261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9b3c52d-6885-4ac1-886e-0df0f9443c40 · inbound

FoNE: Precise Single-Token Number Embeddings via Fourier Features cites this paper.

FoNE: Precise Single-Token Number Embeddings via Fourier Features How Numerical Precision Affects Arithmetical Reasoning Capabilities of LLMs

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-23T03:12:28.670489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a850d084-13dd-4b9a-9f97-4042069c1d85 · inbound

Evaluation of LLMs for mathematical problem solving cites this paper.

Evaluation of LLMs for mathematical problem solving How Numerical Precision Affects Arithmetical Reasoning Capabilities of LLMs

Reference 121

Resolution: unresolved; no resolver link, observed 2026-08-07T12:11:12.124455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d39dbfb-84c1-4737-ab04-1db9ba0130b2 · inbound

Univariate to Multivariate: LLMs as Zero-Shot Predictors for Time-Series Forecasting cites this paper.

Univariate to Multivariate: LLMs as Zero-Shot Predictors for Time-Series Forecasting How Numerical Precision Affects Arithmetical Reasoning Capabilities of LLMs

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T11:30:13.255835Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 51b3ca11-b280-4285-be86-b4c122573aaf · inbound

Basis Transformers for Multi-Task Tabular Regression cites this paper.

Basis Transformers for Multi-Task Tabular Regression How Numerical Precision Affects Arithmetical Reasoning Capabilities of LLMs

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T05:50:18.797479Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6bca9023-dff7-4718-a7bf-6f8707a7f9ee · inbound

Trade-offs in Image Generation: How Do Different Dimensions Interact? cites this paper.

Trade-offs in Image Generation: How Do Different Dimensions Interact? How Numerical Precision Affects Arithmetical Reasoning Capabilities of LLMs

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T12:08:01.686243Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95c530c0-a632-4f95-bbe1-d52827210ddf · inbound

PiERN: Token-Level Routing for Integrating High-Precision Computation and Reasoning cites this paper.

PiERN: Token-Level Routing for Integrating High-Precision Computation and Reasoning How Numerical Precision Affects Arithmetical Reasoning Capabilities of LLMs

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-05-18T16:06:34.591686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.