Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:59:06.021532Z
Paper Citation Record · LEDGER
Mpemba Effect in Large-Language Model Training Dynamics: A Minimal Analysis of the Valley-River model
As of 15 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2507.04206.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-14T08:04:06.432613Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
12 of 12 outbound references displayed
- verified exact0
- verified fuzzy7
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 4cf05d37-47c2-4ac6-9b1c-93477e120c7e · outbound
This paper cites MiniCPM: Unveiling the Potential of Small Language Models with Scalable Training Strategies.
Mpemba Effect in Large-Language Model Training Dynamics: A Minimal Analysis of the Valley-River model MiniCPM: Unveiling the Potential of Small Language Models with Scalable Training Strategies
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:59:05.115154Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 46ec7f39-826e-43f3-ad28-e178f90c2d64 · outbound
This paper cites Understanding Warmup-Stable-Decay Learning Rates: A River Valley Loss Landscape Perspective.
Mpemba Effect in Large-Language Model Training Dynamics: A Minimal Analysis of the Valley-River model Understanding Warmup-Stable-Decay Learning Rates: A River Valley Loss Landscape Perspective
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:59:05.216957Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a5b58d3f-becb-42e6-8659-1b47594e9bf5 · outbound
This paper cites FOCUS: First Order Concentrated Updating Scheme.
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 52d8cbf4-a455-4428-b670-c19fcb8309d5 · outbound
This paper cites Neural Thermodynamic Laws for Large Language Model Training.
Mpemba Effect in Large-Language Model Training Dynamics: A Minimal Analysis of the Valley-River model Neural Thermodynamic Laws for Large Language Model Training
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:59:05.518604Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8cff97b3-c0e2-4bb3-9cb2-190188754944 · outbound
This paper cites Nonequilibrium thermodynamics of the markovian mpemba effect and its inverse.
Mpemba Effect in Large-Language Model Training Dynamics: A Minimal Analysis of the Valley-River model Nonequilibrium thermodynamics of the markovian mpemba effect and its inverse
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:59:07.184869Z
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 e5b96d5b-d2a8-448f-b998-e1d83a34acaa · outbound
This paper cites Mpemba index and anomalous relaxation.
Mpemba Effect in Large-Language Model Training Dynamics: A Minimal Analysis of the Valley-River model Mpemba index and anomalous relaxation
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:59:07.093283Z
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 c7c9f9b5-f3a5-4cc0-8977-b2f191fee7c4 · outbound
This paper cites Speedups in nonequilibrium thermal relaxation: Mpemba and related effects.
Mpemba Effect in Large-Language Model Training Dynamics: A Minimal Analysis of the Valley-River model Speedups in nonequilibrium thermal relaxation: Mpemba and related effects
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:59:05.755041Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7123ae6c-5701-4eb4-9fc2-dad18be8ad8e · outbound
This paper cites Precooling strategy allows exponentially faster heating.
Mpemba Effect in Large-Language Model Training Dynamics: A Minimal Analysis of the Valley-River model Precooling strategy allows exponentially faster heating
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:59:06.945544Z
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 eaf1d537-f2e9-41ce-9000-fcb7351cf080 · outbound
This paper cites Shortcuts of freely relaxing systems using equilibrium physical observables.
Mpemba Effect in Large-Language Model Training Dynamics: A Minimal Analysis of the Valley-River model Shortcuts of freely relaxing systems using equilibrium physical observables
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:59:06.817123Z
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 af8d4fb4-6ceb-48bc-9cd6-5e16548c12ca · outbound
This paper cites Stochastic gradient descent introduces an effective landscape-dependent regularization favoring flat solutions.
Mpemba Effect in Large-Language Model Training Dynamics: A Minimal Analysis of the Valley-River model Stochastic gradient descent introduces an effective landscape-dependent regularization favoring flat solutions
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:59:06.714162Z
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 e64ce85d-9390-418e-9228-5598d797d7cc · outbound
This paper cites Analyzing & reducing the need for learning rate warmup in gpt training.
Mpemba Effect in Large-Language Model Training Dynamics: A Minimal Analysis of the Valley-River model Analyzing & reducing the need for learning rate warmup in gpt training
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:59:06.545824Z
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 15a7b24f-10fe-45ba-b736-8e028fc9f911 · outbound
This paper cites temperature.
Mpemba Effect in Large-Language Model Training Dynamics: A Minimal Analysis of the Valley-River model temperature
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:59:06.294133Z
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 5519170b-8034-4edf-8eb0-c05edc37795f · inbound
WSqD: A Horizon-Free Learning Rate Schedule for Large Model Training cites this paper.
WSqD: A Horizon-Free Learning Rate Schedule for Large Model Training Mpemba Effect in Large-Language Model Training Dynamics: A Minimal Analysis of the Valley-River model
Reference 59
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T08:04:06.432613Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.