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Paper Citation Record · LEDGER

On the Parameterization of Second-Order Optimization Effective Towards the Infinite Width

As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2312.12226.

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

pith.paper-citation-record.v1
2312.12226 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T01:03:53.079211Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T11:56:56.075990Z

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 f9d9e5e1-2cef-4e89-836f-81fc90171b64 · 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 On the Parameterization of Second-Order Optimization Effective Towards the Infinite Width

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-09T14:47:40.576362Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T14:47:40.576362Z digest=sha256:daa41ca2cbaa8a2cd1c64537a7a0edcda321c5bb441f1c45c1e50907b3d9422d

Observation c264a4b7-e7b9-4fa3-81b0-773556c3e49a · inbound

Practical Efficiency of Muon for Pretraining cites this paper.

Practical Efficiency of Muon for Pretraining On the Parameterization of Second-Order Optimization Effective Towards the Infinite Width

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-16T01:03:53.079211Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T01:03:53.079211Z digest=sha256:168f98095295f54ea9e63844267203cfc0c302c677abc09e5c47c966a5ac3d13

Observation 4b1c014c-1ea5-4000-ab3c-92f0fae0f339 · inbound

Pre-Training LLMs on a budget: A comparison of three optimizers cites this paper.

Pre-Training LLMs on a budget: A comparison of three optimizers On the Parameterization of Second-Order Optimization Effective Towards the Infinite Width

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-06T18:22:21.602995Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T18:22:21.602995Z digest=sha256:2397fc4c75976c868929fe11d4b09ee5f9596f3f32ee067e8d3f27bb5f55f751

Observation 3a6d4483-b348-4ee2-85b6-a99a5aad2c73 · inbound

Double Preconditioning (DoPr): Optimization for Test-Time Performance, not Validation Loss cites this paper.

Double Preconditioning (DoPr): Optimization for Test-Time Performance, not Validation Loss On the Parameterization of Second-Order Optimization Effective Towards the Infinite Width

Reference 284

Resolution
verified exact
arxiv_id, observed 2026-07-02T11:56:56.077326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-06-28T02:35:39.845487Z digest=sha256:632a207e140d57bc72156b50c13f0f78e56781658561a7e4c82827d42a307744