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Paper Citation Record · LEDGER

Making Hard Problems Easier with Custom Data Distributions and Loss Regularization: A Case Study in Modular Arithmetic

As of 6 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2410.03569.

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

pith.paper-citation-record.v1
2410.03569 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T07:21:36.365689Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 76e89057-c531-4fde-a1f4-c064d5fc60fb · inbound

Learning Pseudorandom Numbers with Transformers: Permuted Congruential Generators, Curricula, and Interpretability cites this paper.

Learning Pseudorandom Numbers with Transformers: Permuted Congruential Generators, Curricula, and Interpretability Making Hard Problems Easier with Custom Data Distributions and Loss Regularization: A Case Study in Modular Arithmetic

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-04T07:21:36.365689Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T07:21:36.365689Z digest=sha256:b6731c0422f1f48583dc56c510a0028c496bb1d91f1e56e9da8b25f04cc2ba6d

Observation fbf25ef2-6464-4322-b0e2-97687547bc37 · inbound

Physics of Language Models: Part 4.1, Architecture Design and the Magic of Canon Layers cites this paper.

Physics of Language Models: Part 4.1, Architecture Design and the Magic of Canon Layers Making Hard Problems Easier with Custom Data Distributions and Loss Regularization: A Case Study in Modular Arithmetic

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-03T15:22:52.431249Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:22:52.431249Z digest=sha256:58a58f9d62503dbf1f8796010a6696f8621e5392950b969d989b475df913c3de