Paper Citation Record · LEDGER

Why Gradients Rapidly Increase Near the End of Training

As of 16 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 10 inbound Pith citation observations for arXiv:2506.02285.

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

pith.paper-citation-record.v1
2506.02285 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:32:04.384284Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:27:56.628221Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-25T05:40:24.372091Z

Reference resolution

22 of 22 outbound references displayed

verified exact0
verified fuzzy4
unresolved18
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8667ed2e-7c56-4e37-a221-106fbab8bc69 · outbound

This paper cites Layer Normalization.

Why Gradients Rapidly Increase Near the End of Training Layer Normalization

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T11:32:02.886552Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7672aa3e-7fed-494e-ab7b-b28e33ba24e4 · outbound

This paper cites an unresolved cited work.

Why Gradients Rapidly Increase Near the End of Training Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:32:06.594928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5531a407-aaf0-4ace-8ac2-0c91d91a7ef6 · outbound

This paper cites an unresolved cited work.

Why Gradients Rapidly Increase Near the End of Training Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:32:06.390649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c6c93d21-9bbd-48e5-bd22-a63995c07b03 · outbound

This paper cites an unresolved cited work.

Why Gradients Rapidly Increase Near the End of Training Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:32:06.122567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 08db36d8-a0df-4c7c-8936-ef46e243c71d · outbound

This paper cites and Bottou, L.

Why Gradients Rapidly Increase Near the End of Training and Bottou, L

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:32:05.877245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4b0b303b-89ab-4fd6-bd30-7809a85fbde7 · outbound

This paper cites an unresolved cited work.

Why Gradients Rapidly Increase Near the End of Training Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:32:05.627056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2be33ce0-a8e0-4f4e-a52d-2e5194feacd1 · outbound

This paper cites and Gower, R.

Why Gradients Rapidly Increase Near the End of Training and Gower, R

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T11:32:03.275141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a60bbc3-005f-40d8-9af8-f4a85fee0872 · outbound

This paper cites and Mishchenko, K.

Why Gradients Rapidly Increase Near the End of Training and Mishchenko, K

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T11:32:03.377669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f5789c7-82a3-4da5-974f-41a7fc2e7191 · outbound

This paper cites an unresolved cited work.

Why Gradients Rapidly Increase Near the End of Training Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:32:05.400559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 27c72ec4-65e5-4f5a-a0ea-94f42066bec4 · outbound

This paper cites an unresolved cited work.

Why Gradients Rapidly Increase Near the End of Training Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:32:05.334360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ef705d8e-9ab2-4a36-a65c-b673f8576b72 · outbound

This paper cites and Szegedy, C.

Why Gradients Rapidly Increase Near the End of Training and Szegedy, C

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:32:05.238177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9263c93b-63c6-4827-a537-8a53c4918d37 · outbound

This paper cites an unresolved cited work.

Why Gradients Rapidly Increase Near the End of Training Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T11:32:03.723875Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 636ae290-6d76-4cf3-b12e-1e9760ad81d5 · outbound

This paper cites and Hutter, F.

Why Gradients Rapidly Increase Near the End of Training and Hutter, F

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T11:32:03.811301Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4611d213-a767-43d1-a745-7f4e4bce64e4 · outbound

This paper cites Online Learning: A Modern Introduction Using Convex Optimization.

Why Gradients Rapidly Increase Near the End of Training Online Learning: A Modern Introduction Using Convex Optimization

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T11:32:03.877272Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 28337d32-f3c9-4675-ba61-592f81b7276a · outbound

This paper cites B., Lozhkov, A., Mitchell, M., Raffel, C., Werra, L.

Why Gradients Rapidly Increase Near the End of Training B., Lozhkov, A., Mitchell, M., Raffel, C., Werra, L

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:32:05.093205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 66ba23e5-347c-45bc-af2c-85bb6040e140 · outbound

This paper cites C., and Fei-Fei, L.

Why Gradients Rapidly Increase Near the End of Training C., and Fei-Fei, L

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:32:04.951450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 817e3174-5ca4-4ea4-81ba-0167e048b52c · outbound

This paper cites an unresolved cited work.

Why Gradients Rapidly Increase Near the End of Training Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:32:04.884836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7c43b120-6677-4a8d-b09a-739151b93b4c · outbound

This paper cites L2 Regularization versus Batch and Weight Normalization.

Why Gradients Rapidly Increase Near the End of Training L2 Regularization versus Batch and Weight Normalization

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T11:32:04.103673Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69a1258c-d2bc-4057-a133-b27204da1a16 · outbound

This paper cites Implicit Bias of AdamW: $\ell_\infty$ Norm Constrained Optimization.

Why Gradients Rapidly Increase Near the End of Training Implicit Bias of AdamW: $\ell_\infty$ Norm Constrained Optimization

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T11:32:04.192151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b97a015-9c9b-499f-b25b-f1fbb9092572 · outbound

This paper cites an unresolved cited work.

Why Gradients Rapidly Increase Near the End of Training Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:32:04.764571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7db33698-d989-43f0-955a-82cd872ea666 · outbound

This paper cites an unresolved cited work.

Why Gradients Rapidly Increase Near the End of Training Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:32:04.653154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4e3c916a-4668-49dc-9a72-591cd53e0501 · outbound

This paper cites an unresolved cited work.

Why Gradients Rapidly Increase Near the End of Training Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:32:04.541396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

Observation 57c806d0-96f4-4a92-99f6-aedbce155fcc · inbound

Why Do We Need Warm-up? A Theoretical Perspective cites this paper.

Why Do We Need Warm-up? A Theoretical Perspective Why Gradients Rapidly Increase Near the End of Training

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T12:38:53.777630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 574e5e0b-156e-4985-8126-dcf919846b31 · inbound

Safeguarded Stochastic Polyak Step Sizes for Non-smooth Optimization: Robust Performance Without Small (Sub)Gradients cites this paper.

Safeguarded Stochastic Polyak Step Sizes for Non-smooth Optimization: Robust Performance Without Small (Sub)Gradients Why Gradients Rapidly Increase Near the End of Training

Reference 2018

Resolution: unresolved; no resolver link, observed 2026-08-03T19:10:48.092792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f6d60b2-9096-4fc1-ae1f-5a2baabaab1e · inbound

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

Rethinking Language Model Scaling under Transferable Hypersphere Optimization Why Gradients Rapidly Increase Near the End of Training

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-14T21:53:02.525835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f0d07f9d-136b-4fa3-8284-a26bcbc926ab · inbound

Broximal Alignment for Global Non-Convex Optimization cites this paper.

Broximal Alignment for Global Non-Convex Optimization Why Gradients Rapidly Increase Near the End of Training

Reference 1

Resolution: malformed identifier; arxiv_id, observed 2026-05-10T13:00:24.674807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 366a7266-7668-49cf-a79c-f180b3c32392 · inbound

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

Demystifying Manifold Constraints in LLM Pre-training Why Gradients Rapidly Increase Near the End of Training

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-11T17:16:08.661283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2c37b115-b48a-4f6b-83e9-cfa5e1166495 · inbound

Optimizer-Model Consistency: Full Finetuning with the Same Optimizer as Pretraining Forgets Less cites this paper.

Optimizer-Model Consistency: Full Finetuning with the Same Optimizer as Pretraining Forgets Less Why Gradients Rapidly Increase Near the End of Training

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-11T19:26:08.465260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 41ab2342-e1d9-4e23-96d5-104b291b08d0 · inbound

Anytime Training with Schedule-Free Spectral Optimization cites this paper.

Anytime Training with Schedule-Free Spectral Optimization Why Gradients Rapidly Increase Near the End of Training

Reference 75

Resolution: verified exact; arxiv_id, observed 2026-05-25T05:40:24.375625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 75168a28-59d3-473b-a6c4-d52b80b9be66 · inbound

OmniOpt: Taxonomy, Geometry, and Benchmarking of Modern Optimizers cites this paper.

OmniOpt: Taxonomy, Geometry, and Benchmarking of Modern Optimizers Why Gradients Rapidly Increase Near the End of Training

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-11T22:10:49.683444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf743017-35ec-4b6e-a066-38f82f0bb173 · inbound

Scale Weight Decay and Train Better cites this paper.

Scale Weight Decay and Train Better Why Gradients Rapidly Increase Near the End of Training

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-30T12:53:40.954445Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation adbc6f64-beda-4a03-9c7f-03f92a182b1a · inbound

Full-bandwidth transformer cites this paper.

Full-bandwidth transformer Why Gradients Rapidly Increase Near the End of Training

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-14T04:27:56.628221Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.