Paper Citation Record · LEDGER

a1: Steep Test-time Scaling Law via Environment Augmented Generation

As of 20 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 4 inbound Pith citation observations for arXiv:2504.14597.

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

pith.paper-citation-record.v1
2504.14597 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:51:01.275148Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:16:55.637101Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-16T10:02:42.415224Z

Reference resolution

21 of 21 outbound references displayed

verified exact0
verified fuzzy11
unresolved7
parse uncertain2
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 49725ecb-ed85-4937-9475-f3dc44441b5f · outbound

This paper cites an unresolved cited work.

a1: Steep Test-time Scaling Law via Environment Augmented Generation Unresolved cited work

Reference 1

Resolution: parse uncertain; raw_fallback, observed 2026-08-16T11:51:01.643837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 86690e0f-9b57-46da-ad3d-15eabd07bfed · outbound

This paper cites an unresolved cited work.

a1: Steep Test-time Scaling Law via Environment Augmented Generation Unresolved cited work

Reference 2

Resolution: parse uncertain; raw_fallback, observed 2026-08-16T11:51:01.628870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d68c2c6b-84c1-4a3e-9e68-891627a830b9 · outbound

This paper cites Number of distinct prime factors ( k ) : { k }.

a1: Steep Test-time Scaling Law via Environment Augmented Generation Number of distinct prime factors ( k ) : { k }

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:51:01.611821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 181532f9-e2b3-4230-89f2-88e2cc94beec · outbound

This paper cites $S = \{3 ,5\} $ : $a = 3^2 \ times 5^1 = 45 $ , $b = 2^4 = 16 $.

a1: Steep Test-time Scaling Law via Environment Augmented Generation $S = \{3 ,5\} $ : $a = 3^2 \ times 5^1 = 45 $ , $b = 2^4 = 16 $

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:51:01.567235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4b5457d5-a9f8-44d4-9548-a6acd554564b · outbound

This paper cites Number of distinct prime factors ( k ) : { k }.

a1: Steep Test-time Scaling Law via Environment Augmented Generation Number of distinct prime factors ( k ) : { k }

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:51:01.536975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 91537db0-c172-4cc8-ad25-abf11deede23 · outbound

This paper cites an unresolved cited work.

a1: Steep Test-time Scaling Law via Environment Augmented Generation Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:51:01.520684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5852e802-11bd-4eab-b731-09f8fc519ed0 · outbound

This paper cites an unresolved cited work.

a1: Steep Test-time Scaling Law via Environment Augmented Generation Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:51:01.504730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 98d384a3-724b-4abb-86c1-a0e79542fa82 · outbound

This paper cites an unresolved cited work.

a1: Steep Test-time Scaling Law via Environment Augmented Generation Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:51:01.485633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 92e1b784-d312-4cc0-aac1-d7e1579140e3 · outbound

This paper cites $S = \{2 ,3 ,5\} $ : $a = 2^4 \ times 3^2 \ times 5^1 = 720 $ , $b = 1 $.

a1: Steep Test-time Scaling Law via Environment Augmented Generation $S = \{2 ,3 ,5\} $ : $a = 2^4 \ times 3^2 \ times 5^1 = 720 $ , $b = 1 $

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:51:01.552412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 54254c02-720d-4348-8de2-5d9b50bf3245 · outbound

This paper cites The curriculum learning dynamics follow: dθ dt = α ∂ ∂θ E[Difficulty(p)]− βθ (14) This ensures gradual exposure to complex problems while preventing catastrophic forget- ting.

a1: Steep Test-time Scaling Law via Environment Augmented Generation The curriculum learning dynamics follow: dθ dt = α ∂ ∂θ E[Difficulty(p)]− βθ (14) This ensures gradual exposure to complex problems while preventing catastrophic forget- ting

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:51:01.436477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3ffd754b-b535-4ed3-9242-eff9aba532fb · outbound

This paper cites Under review.

a1: Steep Test-time Scaling Law via Environment Augmented Generation Under review

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:51:01.403692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 29d3292b-72a7-4f57-b8a1-02857dd86131 · outbound

This paper cites an unresolved cited work.

a1: Steep Test-time Scaling Law via Environment Augmented Generation Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:51:01.454983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation cdb4da33-146b-4449-aad8-fe93d4013905 · outbound

This paper cites The curriculum learning dynamics follow: dθ dt = α ∂ ∂θ E[Difficulty(p)]− βθ (26) This ensures gradual exposure to complex problems while preventing catastrophic forget- ting.

a1: Steep Test-time Scaling Law via Environment Augmented Generation The curriculum learning dynamics follow: dθ dt = α ∂ ∂θ E[Difficulty(p)]− βθ (26) This ensures gradual exposure to complex problems while preventing catastrophic forget- ting

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:51:01.387290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d14134f1-b02c-4868-bf8a-c1bb8254fbbc · outbound

This paper cites an unresolved cited work.

a1: Steep Test-time Scaling Law via Environment Augmented Generation Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:51:01.419911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f742be94-73d2-4a24-8c9b-b46883b79b2d · outbound

This paper cites Under review.

a1: Steep Test-time Scaling Law via Environment Augmented Generation Under review

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:51:01.371327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 55931e21-bb8d-459b-a9ee-120a577fbf35 · outbound

This paper cites $S = \{3\} $ : $a = 3^2 = 9$ , $b = 2^4 \ times 5^1 = 80 $.

a1: Steep Test-time Scaling Law via Environment Augmented Generation $S = \{3\} $ : $a = 3^2 = 9$ , $b = 2^4 \ times 5^1 = 80 $

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:51:01.596654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4971fdf9-d872-4760-8140-0b208716e4a1 · outbound

This paper cites $S = \{2 ,3\} $ : $a = 2^4 \ times 3^2 = 144 $ , $b = 5^1 = 5 $.

a1: Steep Test-time Scaling Law via Environment Augmented Generation $S = \{2 ,3\} $ : $a = 2^4 \ times 3^2 = 144 $ , $b = 5^1 = 5 $

Reference 144

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:51:01.581670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 437bf976-c3b1-4507-a59d-6a6a54a7d9ad · outbound

This paper cites We compute loss on both reasoning traces and execution feedback signals.

a1: Steep Test-time Scaling Law via Environment Augmented Generation We compute loss on both reasoning traces and execution feedback signals

Reference 2019

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:51:01.470406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation aeefec87-2b55-413b-8afe-27c82abeb970 · outbound

This paper cites PaLM: Scaling Language Modeling with Pathways.

a1: Steep Test-time Scaling Law via Environment Augmented Generation PaLM: Scaling Language Modeling with Pathways

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-16T11:51:01.162353Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5aa801f-760e-4f31-8e81-75af7d563db3 · outbound

This paper cites Judging LLM-as-a-Judge with MT-Bench and Chatbot Arena.

a1: Steep Test-time Scaling Law via Environment Augmented Generation Judging LLM-as-a-Judge with MT-Bench and Chatbot Arena

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-16T11:51:01.169125Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a0048d7-ec23-451f-b61e-7f400cc15203 · outbound

This paper cites Neural Reasoning Networks: Efficient Interpretable Neural Networks With Automatic Textual Explanations.

a1: Steep Test-time Scaling Law via Environment Augmented Generation Neural Reasoning Networks: Efficient Interpretable Neural Networks With Automatic Textual Explanations

Reference 2024

Resolution: metadata mismatch; local_arxiv, observed 2026-08-16T11:51:01.354349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

Observation 1cfa35e8-1059-4f10-be37-eeac3ae781cc · inbound

Large Language Models as Computable Approximations to Solomonoff Induction cites this paper.

Large Language Models as Computable Approximations to Solomonoff Induction a1: Steep Test-time Scaling Law via Environment Augmented Generation

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-07T15:16:55.637101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d2adc69-b8dd-44cc-836b-8056ca41f4f1 · inbound

Scaling over Scaling: Exploring Test-Time Scaling Plateau in Large Reasoning Models cites this paper.

Scaling over Scaling: Exploring Test-Time Scaling Plateau in Large Reasoning Models a1: Steep Test-time Scaling Law via Environment Augmented Generation

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T13:58:36.106084Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c866faa-41ba-4c08-8862-b0eee0d724fc · inbound

CamReasoner: Reinforcing Camera Movement Understanding via Structured Spatial Reasoning cites this paper.

CamReasoner: Reinforcing Camera Movement Understanding via Structured Spatial Reasoning a1: Steep Test-time Scaling Law via Environment Augmented Generation

Reference 34

Resolution: verified exact; arxiv_id, observed 2026-05-16T10:02:42.418029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ca24fcfb-84b6-4979-b328-28a48e86cfed · inbound

VideoStir: Understanding Long Videos via Spatio-Temporally Structured and Intent-Aware RAG cites this paper.

VideoStir: Understanding Long Videos via Spatio-Temporally Structured and Intent-Aware RAG a1: Steep Test-time Scaling Law via Environment Augmented Generation

Reference 50

Resolution: verified exact; arxiv_id, observed 2026-05-10T23:15:50.121339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.