Paper Citation Record · LEDGER

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization

As of 18 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 1 inbound Pith citation observation for arXiv:2602.10576.

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

pith.paper-citation-record.v1
2602.10576 v2

Coverage vector

measured 56 of 56 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T01:09:56.856749Z

measured 57 of 57 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T22:49:40.344762Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T16:17:09.434100Z

Reference resolution

56 of 56 outbound references displayed

verified exact5
verified fuzzy0
unresolved45
parse uncertain0
malformed identifier6
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 804ea87d-7427-4717-b0d3-93489e9093ba · outbound

This paper cites an unresolved cited work.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Unresolved cited work

Reference 1

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Unavailable: canonical work link unavailable.

Observation fdd65b40-4747-48d6-8875-a423d91c3172 · outbound

This paper cites Neural Symbolic Regression that Scales.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Neural Symbolic Regression that Scales

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T01:09:49.927053Z

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Observation 0100513f-8554-46e3-9979-419053665953 · outbound

This paper cites Biggio*, T.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Biggio*, T

Reference 3

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Observation 6f13d13c-e325-4b64-a6a7-980534136d3e · outbound

This paper cites an unresolved cited work.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T01:09:50.356217Z

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Observation 19bf63b3-8e5f-488d-b67f-499fd8a55aaa · outbound

This paper cites Interpretable Machine Learning for Science with PySR and SymbolicRegression.jl.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Interpretable Machine Learning for Science with PySR and SymbolicRegression.jl

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T01:09:50.582529Z

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Observation 6d782d6a-b30e-41dd-9ec5-16d06d087ce6 · outbound

This paper cites an unresolved cited work.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T01:09:50.727322Z

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Observation aba28fdf-18bf-4779-81eb-8b96e1c06c77 · outbound

This paper cites an unresolved cited work.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Unresolved cited work

Reference 7

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 85338449-7ff9-4a60-8625-9976869a1615 · outbound

This paper cites DISCOVER: Deep identification of symbolically concise open-form PDEs via enhanced reinforcement-learning.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization DISCOVER: Deep identification of symbolically concise open-form PDEs via enhanced reinforcement-learning

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T01:09:51.285363Z

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Observation 63361c82-e047-4f20-a08e-5f37b7ec2727 · outbound

This paper cites 1987.Practical Methods of Optimization (2nd ed.).

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization 1987.Practical Methods of Optimization (2nd ed.)

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T01:09:51.416797Z

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Observation 20f3e2d7-4869-4732-b2cb-8f5fd7d9f25f · outbound

This paper cites Symbolic Regression with a Learned Concept Library.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Symbolic Regression with a Learned Concept Library

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T01:09:51.537157Z

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Observation 63c51268-427a-4125-9b33-5403cf1f6d60 · outbound

This paper cites an unresolved cited work.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T01:09:51.608526Z

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Observation 14c60ff6-34f7-4c43-b695-797e57aea09e · outbound

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

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization LoRA: Low-Rank Adaptation of Large Language Models

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T01:09:51.720963Z

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Observation d0e81f4f-6447-470c-a1c1-54d69c40d99b · outbound

This paper cites CALM: Co-evolution of Algorithms and Language Model for Automatic Heuristic Design.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization CALM: Co-evolution of Algorithms and Language Model for Automatic Heuristic Design

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T01:09:51.812844Z

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Observation 82690a55-3530-48a5-a761-4258c280d678 · outbound

This paper cites End-to-end symbolic regression with transformers.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization End-to-end symbolic regression with transformers

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T01:09:51.893983Z

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Observation d09a16ea-af3a-4f96-934a-e5eb43871913 · outbound

This paper cites Llama-3.1-FoundationAI-SecurityLLM-Base-8B Technical Report.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Llama-3.1-FoundationAI-SecurityLLM-Base-8B Technical Report

Reference 15

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Observation 53fa3edd-e9b0-441e-ae2e-7f1d0a6aa401 · outbound

This paper cites Geneticallybreedingpopulationsofcomputerprogramstosolve problems in artificial intelligence.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Geneticallybreedingpopulationsofcomputerprogramstosolve problems in artificial intelligence

Reference 16

Resolution: verified exact; doi, observed 2026-08-03T01:13:23.661444Z

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Observation 5fd0368b-7b2e-418f-9617-1125e8462a99 · outbound

This paper cites an unresolved cited work.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Unresolved cited work

Reference 17

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Observation a20de48c-ce03-47af-bf34-2b1f89e93652 · outbound

This paper cites Improving exploration in policy gradient search: Application to symbolic optimization.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Improving exploration in policy gradient search: Application to symbolic optimization

Reference 18

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Observation 7bd4eff0-6c4a-4227-8224-921f5919c35d · outbound

This paper cites an unresolved cited work.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Unresolved cited work

Reference 19

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Observation 186805e3-f24b-4b2a-8371-fcea6994a95d · outbound

This paper cites an unresolved cited work.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Unresolved cited work

Reference 20

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Observation 8b80c573-e625-42f5-821b-8dc63d159a8a · outbound

This paper cites an unresolved cited work.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Unresolved cited work

Reference 21

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Observation 6ca32fbc-5170-49d5-a6a0-5c556e753ef7 · outbound

This paper cites an unresolved cited work.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Unresolved cited work

Reference 22

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Observation 24282753-912a-4c6b-8569-41dda9609e63 · outbound

This paper cites an unresolved cited work.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Unresolved cited work

Reference 23

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Observation a0a29334-8692-4ca9-9a28-126f2e10102e · outbound

This paper cites an unresolved cited work.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Unresolved cited work

Reference 24

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Observation ea78216c-3401-492e-871d-cad9b31e8146 · outbound

This paper cites an unresolved cited work.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Unresolved cited work

Reference 25

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Observation eb5e6391-6a56-410a-8748-bc727531d715 · outbound

This paper cites an unresolved cited work.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Unresolved cited work

Reference 26

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Observation d5bcd2f0-fcad-4e72-9356-92edc336718d · outbound

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LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Monkewitz

Reference 27

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Observation bb7235fb-bcf8-4503-be13-bec0ef614777 · outbound

This paper cites an unresolved cited work.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Unresolved cited work

Reference 28

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Observation 983d7ea2-6152-408d-b4ab-31a01675fdea · outbound

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LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Symbolic Regression via Neural-Guided Genetic Programming Population Seeding

Reference 29

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Observation 8edcf52c-4aa6-423c-8670-acc1e5dcf942 · outbound

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LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Foster, and Michael Hicks

Reference 30

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Observation cfa07ac9-c53c-4653-8fb1-6e526f6dcff3 · outbound

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LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Deep symbolic regression: Recovering mathematical expressions from data via risk-seeking policy gradients

Reference 31

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LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Unresolved cited work

Reference 32

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Observation a3dd6fd0-91c7-40a5-b18d-57d138cd998e · outbound

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LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Unresolved cited work

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LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Unresolved cited work

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Observation 433be814-3f56-4049-9ec6-fb8f7f1fb7d2 · outbound

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LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Unresolved cited work

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LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Unresolved cited work

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LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Unresolved cited work

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Observation da9c74bd-1a75-4b48-8a05-ac5ad086209f · outbound

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LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models

Reference 38

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LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization AlphaForge: A Framework to Mine and Dynamically Combine Formulaic Alpha Factors

Reference 39

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LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization LLM-SR: Scientific Equation Discovery via Programming with Large Language Models

Reference 40

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LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization LLM-SRBench: A New Benchmark for Scientific Equation Discovery with Large Language Models

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This paper cites Discovering explicit Reynolds-averaged turbulence closures for turbulent separated flows through deep learning-based symbolic regression with non-linear corrections.

LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Discovering explicit Reynolds-averaged turbulence closures for turbulent separated flows through deep learning-based symbolic regression with non-linear corrections

Reference 43

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LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization A First Course in Turbulence

Reference 44

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Observation 0cf32895-b9a4-4dc2-ac91-a2005bcd3488 · outbound

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LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization SymbolicGPT: A Generative Transformer Model for Symbolic Regression

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LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Symbolic Regression is NP-hard

Reference 47

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LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization IEEE Access 12 (2024), 37840–37849

Reference 49

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Observation caa50b45-c2a9-4d43-b033-e81642bc59de · outbound

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LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Weller, Gavin Tabor, Hrvoje Jasak, and Christer Fureby

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LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Unresolved cited work

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LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Unresolved cited work

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LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization Associa- tion for Computational Linguistics, 589–606.doi:10.18653/v1/2024.acl-srw.49

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LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization error-term elimination

Reference 2025

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Pith citing papers

Observation ffc22a8a-e785-4a7a-9625-1521fa05de4b · inbound

FunctionEvolve: Structure-Guided Symbolic Regression with LLMs cites this paper.

FunctionEvolve: Structure-Guided Symbolic Regression with LLMs LLM-Based Scientific Equation Discovery via Physics-Informed Token-Regularized Policy Optimization

Reference 62

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