Paper Citation Record · LEDGER

FOCUS: First Order Concentrated Updating Scheme

As of 12 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 6 inbound Pith citation observations for arXiv:2501.12243.

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

pith.paper-citation-record.v1
2501.12243 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T17:27:22.823396Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:59:05.396551Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T07:24:43.267739Z

Reference resolution

22 of 22 outbound references displayed

verified exact0
verified fuzzy4
unresolved17
parse uncertain1
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a5a5f79a-6335-44ab-8e94-2b886c89f300 · outbound

This paper cites an unresolved cited work.

FOCUS: First Order Concentrated Updating Scheme Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:27:23.101792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 910b66d8-abce-4dd5-9487-0b2fcf1c6dc3 · outbound

This paper cites an unresolved cited work.

FOCUS: First Order Concentrated Updating Scheme Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:27:23.091584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4494b655-0533-421c-9dc0-2f496e6b5571 · outbound

This paper cites an unresolved cited work.

FOCUS: First Order Concentrated Updating Scheme Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:27:23.080222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c86aecb1-12c3-4026-aa54-f1c2120aa399 · outbound

This paper cites an unresolved cited work.

FOCUS: First Order Concentrated Updating Scheme Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:27:23.067993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cad97708-96c5-4e22-a3fb-0c9a41e0c537 · outbound

This paper cites 12 FOCUS: First Order Concentrated Updating Scheme A.2.

FOCUS: First Order Concentrated Updating Scheme 12 FOCUS: First Order Concentrated Updating Scheme A.2

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:27:23.056184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 20901bea-16cd-4c59-b6da-bc1a62e6fca2 · outbound

This paper cites an unresolved cited work.

FOCUS: First Order Concentrated Updating Scheme Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:27:23.043902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c55abbb2-6dc9-4ba0-a985-15c291074744 · outbound

This paper cites an unresolved cited work.

FOCUS: First Order Concentrated Updating Scheme Unresolved cited work

Reference 7

Resolution: parse uncertain; raw_fallback, observed 2026-08-10T17:27:23.032716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ebc7f237-a394-4537-a478-ce4cf829ed1f · outbound

This paper cites an unresolved cited work.

FOCUS: First Order Concentrated Updating Scheme Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:27:23.021680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9bd2d9b4-4817-49b4-9efe-ef06ef09e795 · outbound

This paper cites an unresolved cited work.

FOCUS: First Order Concentrated Updating Scheme Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:27:23.010021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 926bd519-2fc8-470b-987c-9ddead8c0556 · outbound

This paper cites an unresolved cited work.

FOCUS: First Order Concentrated Updating Scheme Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:27:22.998423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a3a7d3f8-3e7b-41ce-85bf-138e76cd65a0 · outbound

This paper cites an unresolved cited work.

FOCUS: First Order Concentrated Updating Scheme Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:27:22.987530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 62f39160-f06b-4b1e-9e90-66a137ef0474 · outbound

This paper cites an unresolved cited work.

FOCUS: First Order Concentrated Updating Scheme Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:27:22.976248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 810239a0-049c-4c92-bd30-491f10a8cace · outbound

This paper cites an unresolved cited work.

FOCUS: First Order Concentrated Updating Scheme Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:27:22.965554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f90ac0dd-3dcd-41fa-833a-377da5984b71 · outbound

This paper cites an unresolved cited work.

FOCUS: First Order Concentrated Updating Scheme Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:27:22.954579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5f1719b4-a23e-41dd-9608-bf7833cde192 · outbound

This paper cites an unresolved cited work.

FOCUS: First Order Concentrated Updating Scheme Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:27:22.943013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 496c4ad2-5f08-4a6c-b072-37506cf04ea1 · outbound

This paper cites an unresolved cited work.

FOCUS: First Order Concentrated Updating Scheme Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:27:22.931573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 06e329f7-ee37-4b01-a447-777c366110b0 · outbound

This paper cites Training dynamics reaches steady state on the narrowing valley.

FOCUS: First Order Concentrated Updating Scheme Training dynamics reaches steady state on the narrowing valley

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:27:22.906030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f6a94f36-468d-483a-a3e8-dbd3697ea110 · outbound

This paper cites an unresolved cited work.

FOCUS: First Order Concentrated Updating Scheme Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:27:22.893471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1ecf7aba-4061-4878-9cf8-f3908636fbce · outbound

This paper cites (2023a)).

FOCUS: First Order Concentrated Updating Scheme (2023a))

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:27:22.918439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e5f66138-8cc2-4ddf-b37c-1274ef018690 · outbound

This paper cites an unresolved cited work.

FOCUS: First Order Concentrated Updating Scheme Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:27:22.881178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b3f1bed8-2713-46e0-861f-f0ac78d15777 · outbound

This paper cites an unresolved cited work.

FOCUS: First Order Concentrated Updating Scheme Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:27:22.869258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2ffa7799-0698-4baa-b00a-4cc895d57fec · outbound

This paper cites entropic.

FOCUS: First Order Concentrated Updating Scheme entropic

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:27:22.856475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation e683f2e9-f94c-465c-a81a-888fa05475b9 · inbound

Superposition Yields Robust Neural Scaling cites this paper.

Superposition Yields Robust Neural Scaling FOCUS: First Order Concentrated Updating Scheme

Reference 61

Resolution: verified exact; arxiv_id, observed 2026-05-09T06:36:25.542980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 27ccfc86-8f77-449c-9134-00340d18f8c7 · inbound

GradPower: Powering Gradients for Faster Language Model Pre-Training cites this paper.

GradPower: Powering Gradients for Faster Language Model Pre-Training FOCUS: First Order Concentrated Updating Scheme

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-22T02:50:58.429079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a5b58d3f-becb-42e6-8659-1b47594e9bf5 · inbound

Mpemba Effect in Large-Language Model Training Dynamics: A Minimal Analysis of the Valley-River model cites this paper.

Mpemba Effect in Large-Language Model Training Dynamics: A Minimal Analysis of the Valley-River model FOCUS: First Order Concentrated Updating Scheme

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T19:59:05.396551Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb80cea4-c768-4eac-9e9e-33aae459ccf1 · inbound

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

Universal One-third Time Scaling in Learning Peaked Distributions FOCUS: First Order Concentrated Updating Scheme

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T05:01:12.658013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e2e7dad-2264-453b-b447-04bf6b45de7d · inbound

AMUSE: Anytime Muon with Stable Gradient Evaluation cites this paper.

AMUSE: Anytime Muon with Stable Gradient Evaluation FOCUS: First Order Concentrated Updating Scheme

Reference 34

Resolution: verified exact; arxiv_id, observed 2026-05-22T07:24:43.270390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9f7eb64a-3c95-4f34-8d4a-5160554749a4 · inbound

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

OmniOpt: Taxonomy, Geometry, and Benchmarking of Modern Optimizers FOCUS: First Order Concentrated Updating Scheme

Reference 68

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.