Paper Citation Record · LEDGER

Predictable Scale: Part I, Step Law -- Optimal Hyperparameter Scaling Law in Large Language Model Pretraining

As of 4 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 17 inbound Pith citation observations for arXiv:2503.04715.

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

pith.paper-citation-record.v1
2503.04715 v7

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 17 of 17 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T05:27:10.359838Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-10T12:15:01.137692Z

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 5d54bad5-dbfe-43d1-a3f7-0e20e17efeee · inbound

Mixture-of-Experts Can Surpass Dense LLMs Under Strictly Equal Resource cites this paper.

Mixture-of-Experts Can Surpass Dense LLMs Under Strictly Equal Resource Predictable Scale: Part I, Step Law -- Optimal Hyperparameter Scaling Law in Large Language Model Pretraining

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-05-22T00:05:47.673917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation d0f628a8-daea-4fbf-8d14-e5bcf9243c97 · inbound

SPARKLING: Balancing Signal Preservation and Symmetry Breaking for Width-Progressive Learning cites this paper.

SPARKLING: Balancing Signal Preservation and Symmetry Breaking for Width-Progressive Learning Predictable Scale: Part I, Step Law -- Optimal Hyperparameter Scaling Law in Large Language Model Pretraining

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T05:27:10.359838Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e25eb6b-12cf-4bb2-9d36-37a8aecf8ea8 · inbound

OmniMoE: An Efficient MoE by Orchestrating Atomic Experts at Scale cites this paper.

OmniMoE: An Efficient MoE by Orchestrating Atomic Experts at Scale Predictable Scale: Part I, Step Law -- Optimal Hyperparameter Scaling Law in Large Language Model Pretraining

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T04:14:00.828682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa01726a-0612-4346-824f-30a2507a8b6f · inbound

Rethinking Language Model Scaling under Transferable Hypersphere Optimization cites this paper.

Rethinking Language Model Scaling under Transferable Hypersphere Optimization Predictable Scale: Part I, Step Law -- Optimal Hyperparameter Scaling Law in Large Language Model Pretraining

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-14T21:53:02.428845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 89c6de2c-1130-4202-8f08-e3cd7811a13d · inbound

AutoLLMResearch: Training Research Agents for Automating LLM Experiment Configuration - Learning from Cheap, Optimizing Expensive cites this paper.

AutoLLMResearch: Training Research Agents for Automating LLM Experiment Configuration - Learning from Cheap, Optimizing Expensive Predictable Scale: Part I, Step Law -- Optimal Hyperparameter Scaling Law in Large Language Model Pretraining

Reference 48

Resolution: verified exact; arxiv_id, observed 2026-05-13T01:17:02.023735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation c3d8b653-6d90-4b50-b188-c87cb9dda4be · inbound

AutoLLMResearch: Training Research Agents for Automating LLM Experiment Configuration - Learning from Cheap, Optimizing Expensive cites this paper.

Reference 51

Resolution: verified exact; arxiv_id, observed 2026-05-20T22:39:10.210596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation c272cd62-9e05-4b36-84e8-3bb687330044 · inbound

BoLT: A Benchmark to Democratize Black-box Optimization Research for Expensive LLM Tasks cites this paper.

BoLT: A Benchmark to Democratize Black-box Optimization Research for Expensive LLM Tasks Predictable Scale: Part I, Step Law -- Optimal Hyperparameter Scaling Law in Large Language Model Pretraining

Reference 47

Resolution: verified exact; arxiv_id, observed 2026-05-19T20:52:46.284908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 931597dd-a8b5-4142-8954-839468e0a7bc · inbound

Quantifying Hyperparameter Transfer and the Importance of Embedding Layer Learning Rate cites this paper.

Quantifying Hyperparameter Transfer and the Importance of Embedding Layer Learning Rate Predictable Scale: Part I, Step Law -- Optimal Hyperparameter Scaling Law in Large Language Model Pretraining

Reference 30

Resolution: verified exact; arxiv_id, observed 2026-05-21T05:03:57.973859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 78f9b9c1-6564-4ea0-a71e-b01b07db99e1 · inbound

Staged Factorial Screening for Budget-Constrained Micro-Pretraining cites this paper.

Staged Factorial Screening for Budget-Constrained Micro-Pretraining Predictable Scale: Part I, Step Law -- Optimal Hyperparameter Scaling Law in Large Language Model Pretraining

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-07-01T08:45:35.015335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation a77351ce-5419-44df-8d6a-cae45a7be5d3 · inbound

Predictable Scaling Laws of Optimal Hyperparameters for LLM Continued Pre-training cites this paper.

Predictable Scaling Laws of Optimal Hyperparameters for LLM Continued Pre-training Predictable Scale: Part I, Step Law -- Optimal Hyperparameter Scaling Law in Large Language Model Pretraining

Reference 18

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T12:46:56.731010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation b36f3396-bd91-48a9-827c-ec445c2739c4 · inbound

Ling and Ring 2.6 Technical Report: Efficient and Instant Agentic Intelligence at Trillion-Parameter Scale cites this paper.

Ling and Ring 2.6 Technical Report: Efficient and Instant Agentic Intelligence at Trillion-Parameter Scale Predictable Scale: Part I, Step Law -- Optimal Hyperparameter Scaling Law in Large Language Model Pretraining

Reference 65

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T22:17:25.643954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation beb7a600-b152-4956-909c-b2676abab6d1 · inbound

MultiHashFormer: Hash-based Generative Language Models cites this paper.

MultiHashFormer: Hash-based Generative Language Models Predictable Scale: Part I, Step Law -- Optimal Hyperparameter Scaling Law in Large Language Model Pretraining

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-06-29T04:23:05.586278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 23542f01-bb32-401a-9b90-90b1e45102bb · inbound

On the Nonlinearity of Learning Rate Scaling for LLM Training cites this paper.

On the Nonlinearity of Learning Rate Scaling for LLM Training Predictable Scale: Part I, Step Law -- Optimal Hyperparameter Scaling Law in Large Language Model Pretraining

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-06-30T08:24:26.775578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 9e8febb8-fbee-4d59-87cf-6fc4f48cb2cf · inbound

How to Allocate Your Tokens? Scaling Laws with Training Steps and Batch Size cites this paper.

How to Allocate Your Tokens? Scaling Laws with Training Steps and Batch Size Predictable Scale: Part I, Step Law -- Optimal Hyperparameter Scaling Law in Large Language Model Pretraining

Reference 14

Resolution: metadata mismatch; arxiv_id, observed 2026-07-03T21:08:57.606538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation f9a9a766-4339-4587-a696-5daaaf3a386d · inbound

Convolution for Large Language Models cites this paper.

Convolution for Large Language Models Predictable Scale: Part I, Step Law -- Optimal Hyperparameter Scaling Law in Large Language Model Pretraining

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-01T15:33:19.545195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 92ff9c0d-a7ff-4c5c-9f4c-26e6bab97084 · inbound

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

SOAP, Muon, and Beyond: Pushing LLM Pretraining Scales Predictable Scale: Part I, Step Law -- Optimal Hyperparameter Scaling Law in Large Language Model Pretraining

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-02T06:45:17.820219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a71e5f3-88c8-4657-8a6b-b9ed478aebca · inbound

LLM-Based Generative Retrieval for Snapchat Content Recommendation cites this paper.

LLM-Based Generative Retrieval for Snapchat Content Recommendation Predictable Scale: Part I, Step Law -- Optimal Hyperparameter Scaling Law in Large Language Model Pretraining

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T01:29:04.360430Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.