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Paper Citation Record · LEDGER

An Isotropy-Preserving Spectral Cap for Muon: Theory and Three Case Studies

As of 21 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 0 inbound Pith citation observations for arXiv:2607.19771.

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

pith.paper-citation-record.v1
2607.19771 v1

Coverage vector

measured 4 of 4 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T11:54:35.996237Z

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

4 of 4 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 55e5c0eb-4757-49d1-9eb8-3d238c96c5ab · outbound

This paper cites Why Low-Precision Transformer Training Fails: An Analysis on Flash Attention.

An Isotropy-Preserving Spectral Cap for Muon: Theory and Three Case Studies Why Low-Precision Transformer Training Fails: An Analysis on Flash Attention

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-01T11:54:35.779079Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:54:35.779079Z digest=sha256:f5b478505427439d6f7d1bac2f2b803551393d91eeb3e50cd75ac38795f995dd

Observation a4efd2cc-4014-49d6-8576-a7890161caa5 · outbound

This paper cites Muon is Scalable for LLM Training.

An Isotropy-Preserving Spectral Cap for Muon: Theory and Three Case Studies Muon is Scalable for LLM Training

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-01T11:54:35.882723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:54:35.882723Z digest=sha256:6ae3ca2a384dfd14a1ac6451dd0c97f0a6f5be7af2614c043601456ac73fc157

Observation ac412ca8-a559-483f-a02a-01071d142872 · outbound

This paper cites an unresolved cited work.

An Isotropy-Preserving Spectral Cap for Muon: Theory and Three Case Studies Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T11:54:35.947455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:54:35.947455Z digest=sha256:fa530e06784374d7bad1843ec61963532e81f00d21fea42ddee3acf00bea5ae2

Observation cb051ba3-c30f-4233-95f0-7fef6c28d01d · outbound

This paper cites Karpathy.

An Isotropy-Preserving Spectral Cap for Muon: Theory and Three Case Studies Karpathy

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T11:54:35.996237Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:54:35.996237Z digest=sha256:8e0fdc0fd91f3e6e8f5af520ddfc08dc092db918b8d5546e245945e7a7eda0d2

Pith citing papers

No inbound Pith citation observations are available.