Paper Citation Record · LEDGER

Scalable Optimization in the Modular Norm

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2405.14813.

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

pith.paper-citation-record.v1
2405.14813 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T14:47:40.604767Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T13:58:22.252458Z

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 e4b44ea0-4bcd-4bfc-99fe-b6f92e1940b4 · inbound

Old Optimizer, New Norm: An Anthology cites this paper.

Old Optimizer, New Norm: An Anthology Scalable Optimization in the Modular Norm

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-05-16T07:27:52.927137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 72e137fb-aec8-4d12-af33-abbead0af4b2 · inbound

On The Concurrence of Layer-wise Preconditioning Methods and Provable Feature Learning cites this paper.

On The Concurrence of Layer-wise Preconditioning Methods and Provable Feature Learning Scalable Optimization in the Modular Norm

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-09T14:47:40.604767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9fce84f2-9ac2-46da-9ba5-bdbab6a98e03 · inbound

Training Deep Learning Models with Norm-Constrained LMOs cites this paper.

Training Deep Learning Models with Norm-Constrained LMOs Scalable Optimization in the Modular Norm

Reference 193

Resolution: verified exact; arxiv_id, observed 2026-05-21T21:22:37.044564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 478ae26d-dcfd-4432-a321-f80fd852847a · inbound

Fantastic Pretraining Optimizers and Where to Find Them cites this paper.

Fantastic Pretraining Optimizers and Where to Find Them Scalable Optimization in the Modular Norm

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-05T11:59:49.681807Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3f7b8c5-9a68-43bf-b18c-265409e4e297 · inbound

Implicit Bias of Mirror Flow in Homogeneous Neural Networks: Sparse and Dense Feature Learning cites this paper.

Implicit Bias of Mirror Flow in Homogeneous Neural Networks: Sparse and Dense Feature Learning Scalable Optimization in the Modular Norm

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-05-20T07:18:06.874429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5bc3f326-c434-4c12-b3cf-b5fa7536047d · inbound

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

LoRA-Muon: Spectral Steepest Descent on the Low-Rank Manifold Scalable Optimization in the Modular Norm

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-07-03T13:58:22.253980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c5dd4445-3ab7-4f60-abd2-b1ec2f7ce1bf · inbound

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

SOAP, Muon, and Beyond: Pushing LLM Pretraining Scales Scalable Optimization in the Modular Norm

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-02T06:45:13.650206Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.