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Paper Citation Record · LEDGER

nGPT: Normalized Transformer with Representation Learning on the Hypersphere

As of 6 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 16 inbound Pith citation observations for arXiv:2410.01131.

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

pith.paper-citation-record.v1
2410.01131 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 16 of 16 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:25:17.146093Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T20:30:07.817010Z

Reference resolution

0 of 0 outbound references displayed

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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 88573fc3-ad48-4eaa-b307-dfd6c924cc3e · inbound

Normalized Matching Transformer cites this paper.

Normalized Matching Transformer nGPT: Normalized Transformer with Representation Learning on the Hypersphere

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-05-22T22:05:11.573058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-22T22:03:16.161201Z digest=sha256:f41cbdf7f88dbabcff9e60aeaaa7d2d2000559800c61a2a609e20caaa1746390

Observation 7b47b369-0bb6-4d15-bd65-c14e732def0f · inbound

Superposition Yields Robust Neural Scaling cites this paper.

Superposition Yields Robust Neural Scaling nGPT: Normalized Transformer with Representation Learning on the Hypersphere

Reference 60

Resolution
verified exact
arxiv_id, observed 2026-05-09T06:36:25.534812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-22T14:38:44.789822Z digest=sha256:26678379af67674740d9e8ddf4431a4e72366d97828e99a351df60b59803156d

Observation 3d9ed69f-484d-48ca-8a46-892eb45a7214 · inbound

Robust Filter Attention: Self-Attention as Precision-Weighted State Estimation cites this paper.

Robust Filter Attention: Self-Attention as Precision-Weighted State Estimation nGPT: Normalized Transformer with Representation Learning on the Hypersphere

Reference 56

Resolution
verified exact
arxiv_id, observed 2026-05-18T19:01:46.189690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-05-18T18:56:48.722344Z digest=sha256:cf1451e8c5a221a74bdedc45593093ba1c65650ffce5891df165c8b8b5200d1a

Observation d37b01ab-8058-4db7-8d15-a58eb8b1d551 · inbound

Robust Filter Attention: Self-Attention as Precision-Weighted State Estimation cites this paper.

Robust Filter Attention: Self-Attention as Precision-Weighted State Estimation nGPT: Normalized Transformer with Representation Learning on the Hypersphere

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-05T10:25:17.146093Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:25:17.146093Z digest=sha256:047bffd8f0c95552ee7b1a8e4d07285c68d430da1797e8ff49b6256ed322a0b8

Observation 31d74673-2c9c-49e5-bac5-b2bbd047cde4 · inbound

Universal One-third Time Scaling in Learning Peaked Distributions cites this paper.

Universal One-third Time Scaling in Learning Peaked Distributions nGPT: Normalized Transformer with Representation Learning on the Hypersphere

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-03T05:01:12.799568Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T05:01:12.799568Z digest=sha256:4ac914a4120b8b65195638757fafedea658ade012795e9187f32eeee6f1f3c1c

Observation d37d4404-41ed-4d4c-afe2-b8aaa8b02984 · inbound

FlashSAC: Fast and Stable Off-Policy Reinforcement Learning for High-Dimensional Robot Control cites this paper.

FlashSAC: Fast and Stable Off-Policy Reinforcement Learning for High-Dimensional Robot Control nGPT: Normalized Transformer with Representation Learning on the Hypersphere

Reference 46

Resolution
verified exact
arxiv_id, observed 2026-05-10T22:15:49.967839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T20:04:56.512544Z digest=sha256:90409fa4e21cc86bda6c60b06c1f238e98b99cd69cc0334629536e53596b0731

Observation 1995a4cf-7eb9-4beb-9620-08691b5fd5f0 · inbound

FlashSAC: Fast and Stable Off-Policy Reinforcement Learning for High-Dimensional Robot Control cites this paper.

FlashSAC: Fast and Stable Off-Policy Reinforcement Learning for High-Dimensional Robot Control nGPT: Normalized Transformer with Representation Learning on the Hypersphere

Reference 46

Resolution
verified exact
arxiv_id, observed 2026-05-19T17:12:41.324396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-19T17:08:31.770889Z digest=sha256:8af05573019d8ab8c5acb7920289b4cf5ad04d4e811c85dc5848751ce3ad9d46

Observation 116c1d4c-9209-4a51-ae74-c921b6830765 · inbound

When Does Removing LayerNorm Help? Activation Bounding as a Regime-Dependent Implicit Regularizer cites this paper.

When Does Removing LayerNorm Help? Activation Bounding as a Regime-Dependent Implicit Regularizer nGPT: Normalized Transformer with Representation Learning on the Hypersphere

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-05-11T20:36:10.441727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-05-08T08:29:58.495518Z digest=sha256:9695f534bfde45d353c4be65341783a0e1bbffd523fa71f05d7ac094e0878eb9

Observation e5ba9dbe-d9d5-43d1-b2eb-7cb27ed5d92b · inbound

Polaris: Coupled Orbital Polar Embeddings for Hierarchical Concept Learning cites this paper.

Polaris: Coupled Orbital Polar Embeddings for Hierarchical Concept Learning nGPT: Normalized Transformer with Representation Learning on the Hypersphere

Reference 61

Resolution
metadata mismatch
arxiv_id, observed 2026-05-11T15:26:08.092346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-05-09T20:05:21.069489Z digest=sha256:ef3d247f069f3593674a2d101036f637258c145a2cb06a769abfa465d1d4fcb9

Observation 2f6df2fc-544a-4582-b3a9-75b4789c61fe · inbound

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

Demystifying Manifold Constraints in LLM Pre-training nGPT: Normalized Transformer with Representation Learning on the Hypersphere

Reference 47

Resolution
verified exact
arxiv_id, observed 2026-05-11T17:16:08.766353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-08T17:44:44.438637Z digest=sha256:97a2ce7de1fb585c2967d631be88801e52ad7318d91772112e631dc57dec1f4b

Observation 740f07ba-42f1-4ad7-97f0-13eb8ed12c3a · inbound

The Structural Origin of Attention Sink: Variance Discrepancy, Super Neurons, and Dimension Disparity cites this paper.

The Structural Origin of Attention Sink: Variance Discrepancy, Super Neurons, and Dimension Disparity nGPT: Normalized Transformer with Representation Learning on the Hypersphere

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-05-11T19:21:08.524404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-08T12:11:04.146711Z digest=sha256:b2ffcf84882451b6d2e281f1a54f85df545826a187e98e74fac9f9db3586bbe4

Observation b627a3f8-9cea-4adc-9bcf-1d5ab827f2cf · inbound

Constrained Stochastic Spectral Preconditioning Converges for Nonconvex Objectives cites this paper.

Constrained Stochastic Spectral Preconditioning Converges for Nonconvex Objectives nGPT: Normalized Transformer with Representation Learning on the Hypersphere

Reference 43

Resolution
verified exact
arxiv_id, observed 2026-05-13T05:37:19.228142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-13T05:34:48.195468Z digest=sha256:89ba3fca9617e3cbd2c8c6a49d6073f8a055c60e3e788cc26716ace84892f026

Observation 7db5a631-d2b0-4884-94ad-538826e3c8e2 · inbound

Chem-GMNet: A Sphere-Native Geometric Transformer for Molecular Property Prediction cites this paper.

Chem-GMNet: A Sphere-Native Geometric Transformer for Molecular Property Prediction nGPT: Normalized Transformer with Representation Learning on the Hypersphere

Reference 19

Resolution
metadata mismatch
arxiv_id, observed 2026-05-14T19:57:53.678529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-14T19:55:19.362468Z digest=sha256:3789924aeff580c2c0299c37d05883553bfde2b235faf44af642f9feab6713bc

Observation 65f73d7f-438a-4fc4-9137-c19d6dcc5240 · inbound

Size Doesn't Matter: Cosine-Scored Sparse Autoencoders cites this paper.

Size Doesn't Matter: Cosine-Scored Sparse Autoencoders nGPT: Normalized Transformer with Representation Learning on the Hypersphere

Reference 48

Resolution
metadata mismatch
arxiv_id, observed 2026-07-01T07:15:29.656032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-07-01T07:15:16.674714Z digest=sha256:73ab1d2fbf8828f8dcc1a235f4b1e7b13582c82a250f93a009728db1231b0a8f

Observation 1cb962d3-3aad-45f7-a761-3b2b78183328 · inbound

Improving Neural Network Training by Decoupling the Magnitude and Direction of Weight Vectors cites this paper.

Improving Neural Network Training by Decoupling the Magnitude and Direction of Weight Vectors nGPT: Normalized Transformer with Representation Learning on the Hypersphere

Reference 100

Resolution
metadata mismatch
arxiv_id, observed 2026-07-04T20:30:07.818744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-06-25T20:05:09.179627Z digest=sha256:c46845b090480b81e2967c23879dd7b699342178e3e799dfb893008b872e8fdf

Observation f2e2411a-d06e-4433-add0-6b0d47495558 · inbound

Improving Neural Network Training by Decoupling the Magnitude and Direction of Weight Vectors cites this paper.

Improving Neural Network Training by Decoupling the Magnitude and Direction of Weight Vectors nGPT: Normalized Transformer with Representation Learning on the Hypersphere

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-02T10:14:09.204824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T10:14:09.204824Z digest=sha256:6935f1e18bf31bcdcda48a2872f01728fea2f5d8f4ba1fc046af893053e0669d