Paper Citation Record · LEDGER

How Does Critical Batch Size Scale in Pre-training?

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 12 inbound Pith citation observations for arXiv:2410.21676.

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

pith.paper-citation-record.v1
2410.21676 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 12 of 12 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T22:05:02.683938Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T23:59:07.430461Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
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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 57bdad84-9478-4da6-a432-c3db2ea83848 · inbound

Scaling Laws for Differentially Private Language Models cites this paper.

Scaling Laws for Differentially Private Language Models How Does Critical Batch Size Scale in Pre-training?

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-09T22:05:02.683938Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37a5bffc-f69f-4701-ab14-eb9cf9c9450d · inbound

Is your batch size the problem? Revisiting the Adam-SGD gap in language modeling cites this paper.

Is your batch size the problem? Revisiting the Adam-SGD gap in language modeling How Does Critical Batch Size Scale in Pre-training?

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T00:50:30.630441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22cce5e8-b8cc-4de9-8795-51ff963b6b16 · inbound

Language Models Improve When Pretraining Data Matches Target Tasks cites this paper.

Language Models Improve When Pretraining Data Matches Target Tasks How Does Critical Batch Size Scale in Pre-training?

Reference 119

Resolution: unresolved; no resolver link, observed 2026-08-06T16:53:16.446210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31cb124b-8863-4e1e-92e1-f0b93d1a78dd · inbound

EMA Without the Lag: Bias-Corrected Iterate Averaging Schemes cites this paper.

EMA Without the Lag: Bias-Corrected Iterate Averaging Schemes How Does Critical Batch Size Scale in Pre-training?

Reference 81

Resolution: unresolved; no resolver link, observed 2026-08-06T10:23:52.031002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8cbfc8fd-1707-4130-9735-3cf18834e1c2 · inbound

Seesaw: Accelerating Training by Balancing Learning Rate and Batch Size Scheduling cites this paper.

Seesaw: Accelerating Training by Balancing Learning Rate and Batch Size Scheduling How Does Critical Batch Size Scale in Pre-training?

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T09:38:47.135094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9db54e40-6023-4347-b63c-506c461349fc · inbound

Predicting Large Model Test Losses with a Noisy Quadratic System cites this paper.

Predicting Large Model Test Losses with a Noisy Quadratic System How Does Critical Batch Size Scale in Pre-training?

Reference 22

Resolution: metadata mismatch; arxiv_id, observed 2026-05-12T06:01:25.573125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e4dfbb5e-9efa-42c3-9c40-a3717612f892 · inbound

ReCoVer: Resilient LLM Pre-Training System via Fault-Tolerant Collective and Versatile Workload cites this paper.

ReCoVer: Resilient LLM Pre-Training System via Fault-Tolerant Collective and Versatile Workload How Does Critical Batch Size Scale in Pre-training?

Reference 40

Resolution: verified exact; arxiv_id, observed 2026-05-13T02:02:06.468306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 144ac853-5870-4d81-9e16-c5c21cdf1c26 · inbound

ReCoVer: Resilient LLM Pre-Training System via Fault-Tolerant Collective and Versatile Workload cites this paper.

ReCoVer: Resilient LLM Pre-Training System via Fault-Tolerant Collective and Versatile Workload How Does Critical Batch Size Scale in Pre-training?

Reference 40

Resolution: verified exact; arxiv_id, observed 2026-05-25T05:55:24.625480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation dcfc156b-b9a1-4849-a977-f084f4a441a1 · inbound

ScheduleFree+: Scaling Learning-Rate-Free & Schedule-Free Learning to Large Language Models cites this paper.

ScheduleFree+: Scaling Learning-Rate-Free & Schedule-Free Learning to Large Language Models How Does Critical Batch Size Scale in Pre-training?

Reference 42

Resolution: verified exact; arxiv_id, observed 2026-05-20T12:23:16.775669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7e7692b0-c2a6-4ad9-9bb0-d8a88d208115 · inbound

Compute Efficiency and Serial Runtime Tradeoffs for Stochastic Momentum Methods cites this paper.

Compute Efficiency and Serial Runtime Tradeoffs for Stochastic Momentum Methods How Does Critical Batch Size Scale in Pre-training?

Reference 23

Resolution: metadata mismatch; arxiv_id, observed 2026-07-03T23:59:07.432881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0a6b880c-f5b9-4eb1-9285-6969038660ea · inbound

One-Step Gradient Delay is Not a Barrier for Large-Scale Asynchronous Pipeline Parallel LLM Pretraining cites this paper.

One-Step Gradient Delay is Not a Barrier for Large-Scale Asynchronous Pipeline Parallel LLM Pretraining How Does Critical Batch Size Scale in Pre-training?

Reference 38

Resolution: metadata mismatch; arxiv_id, observed 2026-06-30T06:44:18.850288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4b332e82-0af7-4de7-a849-44aa9359d05d · inbound

Bridging Compute- and Data-Optimal Pretraining cites this paper.

Bridging Compute- and Data-Optimal Pretraining How Does Critical Batch Size Scale in Pre-training?

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-01T03:02:01.026199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.