Paper Citation Record · LEDGER

Stabilizing Native Low-Rank LLM Pretraining

As of 19 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 4 inbound Pith citation observations for arXiv:2602.12429.

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

pith.paper-citation-record.v1
2602.12429 v2

Coverage vector

measured 5 of 5 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T23:55:23.783725Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T06:45:17.674394Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T13:58:22.243175Z

Reference resolution

5 of 5 outbound references displayed

verified exact0
verified fuzzy0
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2437871b-9808-4358-aa3b-9814f0f80056 · outbound

This paper cites an unresolved cited work.

Stabilizing Native Low-Rank LLM Pretraining Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T23:55:23.615542Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b808652c-25c5-4a39-9d17-cff2b9c3289d · outbound

This paper cites For Muon (Jordan et al., 2024) experiments we use 0.95 for momentum.

Stabilizing Native Low-Rank LLM Pretraining For Muon (Jordan et al., 2024) experiments we use 0.95 for momentum

Reference 2015

Resolution: unresolved; no resolver link, observed 2026-08-02T23:55:23.783725Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5edc72a-60c8-4d3c-9484-1b31f54cf7ed · outbound

This paper cites Si, C., Zhang, D., and Shen, W.

Stabilizing Native Low-Rank LLM Pretraining Si, C., Zhang, D., and Shen, W

Reference 2017

Resolution: unresolved; no resolver link, observed 2026-08-02T23:55:23.453578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22ca80bc-52f3-4bd1-9b02-20a224bd5a00 · outbound

This paper cites 10 Stabilizing Native Low-Rank LLM Pretraining Shazeer, N., Mirhoseini, A., Maziarz, K., Davis, A., Le, Q., Hinton, G., and Dean, J.

Stabilizing Native Low-Rank LLM Pretraining 10 Stabilizing Native Low-Rank LLM Pretraining Shazeer, N., Mirhoseini, A., Maziarz, K., Davis, A., Le, Q., Hinton, G., and Dean, J

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-02T23:55:23.285575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03a7e5bf-d7dc-4f4e-a513-97c6eb7be7f3 · outbound

This paper cites Nocedal, J.

Stabilizing Native Low-Rank LLM Pretraining Nocedal, J

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-02T23:55:23.130808Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation fd4796ee-d383-47c0-b02c-3b477137ff77 · inbound

Intrinsic Muon: Spectral Optimization on Riemannian Matrix Manifolds cites this paper.

Intrinsic Muon: Spectral Optimization on Riemannian Matrix Manifolds Stabilizing Native Low-Rank LLM Pretraining

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-07-17T01:20:44.886789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 04c48f7d-b00b-4228-8d9f-6044b36b98b7 · inbound

LoRA-Muon: Spectral Steepest Descent on the Low-Rank Manifold cites this paper.

LoRA-Muon: Spectral Steepest Descent on the Low-Rank Manifold Stabilizing Native Low-Rank LLM Pretraining

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-07-17T01:20:44.886789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 90dc4299-4c78-458f-88ef-3cc5de5e2d57 · inbound

PoLoRA: A Preconditioned Orthogonalized LoRA Optimizer cites this paper.

PoLoRA: A Preconditioned Orthogonalized LoRA Optimizer Stabilizing Native Low-Rank LLM Pretraining

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T17:32:33.836251Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a247749e-4341-4344-9723-5365be0dad2a · inbound

SOAP, Muon, and Beyond: Pushing LLM Pretraining Scales cites this paper.

SOAP, Muon, and Beyond: Pushing LLM Pretraining Scales Stabilizing Native Low-Rank LLM Pretraining

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-02T06:45:17.674394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.