Paper Citation Record · LEDGER

Gradient Multi-Normalization for Stateless and Scalable LLM Training

As of 9 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 3 inbound Pith citation observations for arXiv:2502.06742.

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

pith.paper-citation-record.v1
2502.06742 v1

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T14:37:23.819526Z

measured 54 of 54 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:35:40.221296Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-13T05:52:21.848754Z

Reference resolution

51 of 51 outbound references displayed

verified exact0
verified fuzzy18
unresolved33
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b08ad4a5-16fe-4a52-8ad6-c06e6506952c · outbound

This paper cites Layer Normalization.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Layer Normalization

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.413471Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f122e6d1-83f1-4c54-b2a7-b5a8d3177886 · outbound

This paper cites Iterative bregman projections for regularized transportation problems.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Iterative bregman projections for regularized transportation problems

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:37:24.906346Z

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 4b0d4c41-37f0-483c-943c-122dde9a1987 · outbound

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

Gradient Multi-Normalization for Stateless and Scalable LLM Training Old Optimizer, New Norm: An Anthology

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.455661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a520790-e2ea-4bb8-8431-e9247760aaaa · outbound

This paper cites signsgd: Compressed optimisation for non-convex problems.

Gradient Multi-Normalization for Stateless and Scalable LLM Training signsgd: Compressed optimisation for non-convex problems

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.459883Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c1c0c26-fcb7-4c9e-abc0-a04d482caf08 · outbound

This paper cites Proximal alternating linearized minimization for nonconvex and nonsmooth problems.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Proximal alternating linearized minimization for nonconvex and nonsmooth problems

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:37:24.888347Z

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 8c2f0518-867a-4c4a-9849-f4602c19c6fa · outbound

This paper cites Distributed optimization and statistical learning via the alternating direction method of multipliers.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Distributed optimization and statistical learning via the alternating direction method of multipliers

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:37:24.876277Z

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 6cf160a8-e1af-4778-b2c9-83d0377eb545 · outbound

This paper cites Stochastic spectral descent for restricted boltzmann machines.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Stochastic spectral descent for restricted boltzmann machines

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:37:24.865195Z

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 bbf7d13b-7496-4394-bab7-87a183480732 · outbound

This paper cites and Pock, T.

Gradient Multi-Normalization for Stateless and Scalable LLM Training and Pock, T

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:37:24.854101Z

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 4299bd35-014a-4e46-b469-d40de0536ef7 · outbound

This paper cites Fira: Can we achieve full-rank training of llms under low-rank constraint?, 2024 b.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Fira: Can we achieve full-rank training of llms under low-rank constraint?, 2024 b

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.482602Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation daea1544-84d4-4f64-b7fd-68adce40a54d · outbound

This paper cites Symbolic discovery of optimization algorithms.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Symbolic discovery of optimization algorithms

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:37:24.843957Z

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 f3125a71-49a0-4a47-af5e-3d31edbf12e4 · outbound

This paper cites and Mehta, H.

Gradient Multi-Normalization for Stateless and Scalable LLM Training and Mehta, H

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:37:24.832640Z

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 bed42d3e-476b-4ee1-bf47-18a02c229b59 · outbound

This paper cites On hilbert’s metric for simplices.

Gradient Multi-Normalization for Stateless and Scalable LLM Training On hilbert’s metric for simplices

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:37:24.821392Z

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 7bf6bb02-4816-494e-a22a-7d422156ceb6 · outbound

This paper cites The Llama 3 Herd of Models.

Gradient Multi-Normalization for Stateless and Scalable LLM Training The Llama 3 Herd of Models

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.496672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a1036d1-bd39-485a-bbb4-42a88518df53 · outbound

This paper cites an unresolved cited work.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-08T14:37:24.810400Z

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 807a43a5-376f-44f6-a5ff-ff3e66350ff1 · outbound

This paper cites and Lorenz, J.

Gradient Multi-Normalization for Stateless and Scalable LLM Training and Lorenz, J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:37:24.799506Z

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 0a3d308f-309a-4bda-8ce9-3dee363a3b86 · outbound

This paper cites Eigenvalue-corrected natural gradient based on a new approximation.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Eigenvalue-corrected natural gradient based on a new approximation

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:37:24.787737Z

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 f3a89ebb-4335-405f-ac92-2ae195999eb1 · outbound

This paper cites Shampoo: Preconditioned Stochastic Tensor Optimization.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Shampoo: Preconditioned Stochastic Tensor Optimization

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.510817Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbb83fe5-3150-4ccf-81ac-2e61517b0bdc · outbound

This paper cites Flora: Low-Rank Adapters Are Secretly Gradient Compressors.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Flora: Low-Rank Adapters Are Secretly Gradient Compressors

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.514931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d529124-8416-4357-8a69-f4d6d4058af4 · outbound

This paper cites Beyond convexity: Stochastic quasi-convex optimization.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Beyond convexity: Stochastic quasi-convex optimization

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.518833Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 820b1f11-b874-4e60-a1fb-a7959e808908 · outbound

This paper cites LoRA: Low-Rank Adaptation of Large Language Models.

Gradient Multi-Normalization for Stateless and Scalable LLM Training LoRA: Low-Rank Adaptation of Large Language Models

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.522219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f6927afa-6bcc-4b13-ba94-53b1afe52fe4 · outbound

This paper cites Iterative normalization: Beyond standardization towards efficient whitening.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Iterative normalization: Beyond standardization towards efficient whitening

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:37:24.735222Z

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 b3245607-4341-4ef3-8480-8707711b816a · outbound

This paper cites Muon: An optimizer for hidden layers in neural networks, 2024.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Muon: An optimizer for hidden layers in neural networks, 2024

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:37:24.681640Z

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 add29701-088d-434a-b17a-76bad058594f · outbound

This paper cites an unresolved cited work.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-08T14:37:24.623494Z

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 6080fe88-34be-44b1-8865-08a9657870ae · outbound

This paper cites A., Casper, J., Lym, S., McAfee, L., Andersch, M., Shoeybi, M., and Catanzaro, B.

Gradient Multi-Normalization for Stateless and Scalable LLM Training A., Casper, J., Lym, S., McAfee, L., Andersch, M., Shoeybi, M., and Catanzaro, B

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.536830Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8d51ea9-6283-4132-a32b-95ef53b7d28e · outbound

This paper cites Noise Is Not the Main Factor Behind the Gap Between SGD and Adam on Transformers, but Sign Descent Might Be.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Noise Is Not the Main Factor Behind the Gap Between SGD and Adam on Transformers, but Sign Descent Might Be

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.540265Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 34a40cd0-c212-4fd7-ab57-f29d81426256 · outbound

This paper cites Heavy-Tailed Class Imbalance and Why Adam Outperforms Gradient Descent on Language Models.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Heavy-Tailed Class Imbalance and Why Adam Outperforms Gradient Descent on Language Models

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.544235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56561ed3-f3da-4622-bb5c-cde77f1bfe3b · outbound

This paper cites an unresolved cited work.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-08T14:37:24.558644Z

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 02956aa1-6bba-4a64-b1e0-378a505245c6 · outbound

This paper cites Towards faster training of global covariance pooling networks by iterative matrix square root normalization.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Towards faster training of global covariance pooling networks by iterative matrix square root normalization

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:37:24.540119Z

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 91f59945-4410-454e-9dd0-6fce281b283b · outbound

This paper cites Relora: High-rank training through low-rank updates.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Relora: High-rank training through low-rank updates

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:37:24.529355Z

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 5897e39f-a8d8-44e2-863d-cbf31763c4dc · outbound

This paper cites SWAN: SGD with Normalization and Whitening Enables Stateless LLM Training.

Gradient Multi-Normalization for Stateless and Scalable LLM Training SWAN: SGD with Normalization and Whitening Enables Stateless LLM Training

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.643471Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 226a59d9-2e4a-4ced-a9f0-f4b43badc942 · outbound

This paper cites Decomposition through formalization in a product space.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Decomposition through formalization in a product space

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:37:24.518803Z

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 c6aa30c5-ec4d-443b-9791-a2c525b24b47 · outbound

This paper cites an unresolved cited work.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-08T14:37:24.508248Z

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 39ffadbf-194d-4c97-8e4e-3b406d8b9716 · outbound

This paper cites Zero: Memory optimizations toward training trillion parameter models.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Zero: Memory optimizations toward training trillion parameter models

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.713139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 945ca777-367e-43f9-8627-88b80a777228 · outbound

This paper cites an unresolved cited work.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-08T14:37:24.492141Z

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 5dd8a654-35d7-4b34-9180-f3bfd7b25fe4 · outbound

This paper cites A relationship between arbitrary positive matrices and doubly stochastic matrices.

Gradient Multi-Normalization for Stateless and Scalable LLM Training A relationship between arbitrary positive matrices and doubly stochastic matrices

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.757416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8bbad764-6fb7-4ec2-8bdd-239f32ec1b26 · outbound

This paper cites and Knopp, P.

Gradient Multi-Normalization for Stateless and Scalable LLM Training and Knopp, P

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.761340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6e29277-8a95-484d-b646-8346a7ffa4bf · outbound

This paper cites Fast differentiable matrix square root and inverse square root.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Fast differentiable matrix square root and inverse square root

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:37:24.467626Z

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 1907b5da-4d76-4ef1-87d2-df117dc1f8e6 · outbound

This paper cites an unresolved cited work.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-08T14:37:24.456973Z

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 5217120b-dfbe-4c6c-bb3c-8a46fd1c51cd · outbound

This paper cites LLaMA: Open and Efficient Foundation Language Models.

Gradient Multi-Normalization for Stateless and Scalable LLM Training LLaMA: Open and Efficient Foundation Language Models

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.772296Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 555089af-2e8b-4842-91c8-0301ec813625 · outbound

This paper cites Functional operators: Measures and integrals, volume 1.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Functional operators: Measures and integrals, volume 1

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:37:24.446304Z

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 0943772a-8700-42f1-93ce-bd84ff49c3bc · outbound

This paper cites an unresolved cited work.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-08T14:37:24.434492Z

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 f4028448-fec2-4f51-9294-9d575a3c015a · outbound

This paper cites No More Adam: Learning Rate Scaling at Initialization is All You Need.

Gradient Multi-Normalization for Stateless and Scalable LLM Training No More Adam: Learning Rate Scaling at Initialization is All You Need

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.786570Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c3dcb6c0-fd3a-4990-ae1b-f914be422b5b · outbound

This paper cites Large Batch Training of Convolutional Networks.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Large Batch Training of Convolutional Networks

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.789854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8841d1e-9bc4-4414-bfe0-5f8a69154ff8 · outbound

This paper cites Large Batch Optimization for Deep Learning: Training BERT in 76 minutes.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Large Batch Optimization for Deep Learning: Training BERT in 76 minutes

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.793583Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a9cfafa-3b90-4834-9d6b-fdada3dad04f · outbound

This paper cites and Sennrich, R.

Gradient Multi-Normalization for Stateless and Scalable LLM Training and Sennrich, R

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.797421Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47a10613-9aab-45f7-a17a-6476b27fdf96 · outbound

This paper cites P., Veit, A., Kim, S., Reddi, S., Kumar, S., and Sra, S.

Gradient Multi-Normalization for Stateless and Scalable LLM Training P., Veit, A., Kim, S., Reddi, S., Kumar, S., and Sra, S

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:37:24.417347Z

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 6d77efdc-e81c-4111-b116-cb3594c20dbf · outbound

This paper cites Adam-mini: Use Fewer Learning Rates To Gain More.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Adam-mini: Use Fewer Learning Rates To Gain More

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.804426Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14e30325-302c-4d31-b315-0b89b822b86b · outbound

This paper cites GaLore: Memory-Efficient LLM Training by Gradient Low-Rank Projection.

Gradient Multi-Normalization for Stateless and Scalable LLM Training GaLore: Memory-Efficient LLM Training by Gradient Low-Rank Projection

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.808168Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 552f658d-4508-401a-9dea-25d0d0515d53 · outbound

This paper cites Deconstructing What Makes a Good Optimizer for Language Models.

Gradient Multi-Normalization for Stateless and Scalable LLM Training Deconstructing What Makes a Good Optimizer for Language Models

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.812206Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6b8083a-4cd7-47bb-ad53-6e19cd7f3df8 · outbound

This paper cites APOLLO: SGD-like Memory, AdamW-level Performance.

Gradient Multi-Normalization for Stateless and Scalable LLM Training APOLLO: SGD-like Memory, AdamW-level Performance

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.815685Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69ac2474-aae8-426b-a383-655c9cc14123 · outbound

This paper cites write newline.

Gradient Multi-Normalization for Stateless and Scalable LLM Training write newline

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-08T14:37:23.819526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation b23d3601-7f59-4904-8d2e-0039c1fa3197 · inbound

Low-rank Momentum Factorization for Memory Efficient Training cites this paper.

Low-rank Momentum Factorization for Memory Efficient Training Gradient Multi-Normalization for Stateless and Scalable LLM Training

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-06T18:35:40.221296Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 903bcba7-1617-42cb-b2b1-21f27dad111d · inbound

Demystifying Manifold Constraints in LLM Pre-training cites this paper.

Demystifying Manifold Constraints in LLM Pre-training Gradient Multi-Normalization for Stateless and Scalable LLM Training

Reference 44

Resolution: verified exact; arxiv_id, observed 2026-05-11T17:16:08.860137Z

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 e25f7357-df6e-4089-bfd0-46d14d6b6413 · inbound

Optimistic Dual Averaging Unifies Modern Optimizers cites this paper.

Optimistic Dual Averaging Unifies Modern Optimizers Gradient Multi-Normalization for Stateless and Scalable LLM Training

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-13T05:52:21.850767Z

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.