Paper Citation Record · LEDGER

Hint-Guided Diversified Policy Optimization for LLM Reasoning

As of 23 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2606.03021.

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

pith.paper-citation-record.v1
2606.03021 v2

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T12:35:53.841154Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

35 of 35 outbound references displayed

verified exact0
verified fuzzy0
unresolved34
parse uncertain1
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9cd82d61-b56b-4d8f-9f13-34bd64e80f03 · outbound

This paper cites It should only elaborate on the high-level strategies and concepts, without going into specific calculations.

Hint-Guided Diversified Policy Optimization for LLM Reasoning It should only elaborate on the high-level strategies and concepts, without going into specific calculations

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:52.052898Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 385afc16-3699-4125-8320-8e9d49d717e7 · outbound

This paper cites an unresolved cited work.

Hint-Guided Diversified Policy Optimization for LLM Reasoning Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:52.105117Z

Source-reported events for the cited work

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Observation 899a701b-d902-4f49-be45-ba8587e7d2b1 · outbound

This paper cites an unresolved cited work.

Hint-Guided Diversified Policy Optimization for LLM Reasoning Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:52.185053Z

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Observation 979abb64-bdab-4e0d-b2b6-67b019b00cd8 · outbound

This paper cites Qwen3 Technical Report.

Hint-Guided Diversified Policy Optimization for LLM Reasoning Qwen3 Technical Report

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:51.310647Z

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Observation b7129faf-0e80-44ad-910e-eebc887b4ae0 · outbound

This paper cites propose-select-think.

Hint-Guided Diversified Policy Optimization for LLM Reasoning propose-select-think

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:52.835670Z

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Observation 76bdf2ed-787b-4446-a334-e03c072b8e29 · outbound

This paper cites Yes” as a measure of the similarity between the two candi- date solutions. As shown by “HDPO (LLM-Div).

Hint-Guided Diversified Policy Optimization for LLM Reasoning Yes” as a measure of the similarity between the two candi- date solutions. As shown by “HDPO (LLM-Div)

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:51.700318Z

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Observation 39731c6f-2d28-4915-b94e-3bc739c303af · outbound

This paper cites an unresolved cited work.

Hint-Guided Diversified Policy Optimization for LLM Reasoning Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:51.845328Z

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Observation dd16bfac-7cb3-42c3-ad1b-fe3cd3f88465 · outbound

This paper cites ex- plore–evaluate–select.

Hint-Guided Diversified Policy Optimization for LLM Reasoning ex- plore–evaluate–select

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:51.995434Z

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Observation 5e99ce3d-65a6-453e-933c-ba1c6eb4c932 · outbound

This paper cites [1]”, “[2].

Hint-Guided Diversified Policy Optimization for LLM Reasoning [1]”, “[2]

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:52.245160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d28b855-43b2-407a-a798-1051481b37e7 · outbound

This paper cites an unresolved cited work.

Hint-Guided Diversified Policy Optimization for LLM Reasoning Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:52.311408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef730c80-1d06-4cc6-9e13-5492557f0045 · outbound

This paper cites Yes", otherwise output.

Hint-Guided Diversified Policy Optimization for LLM Reasoning Yes", otherwise output

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:52.362940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9fa484b-de64-4e03-9d2c-d9ef92b202b8 · outbound

This paper cites an unresolved cited work.

Hint-Guided Diversified Policy Optimization for LLM Reasoning Unresolved cited work

Reference 15

Resolution: parse uncertain; no resolver link, observed 2026-08-02T12:35:52.414340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a052d0c-7bf0-476b-92d9-46860eae661c · outbound

This paper cites an unresolved cited work.

Hint-Guided Diversified Policy Optimization for LLM Reasoning Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:52.465863Z

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Observation d53f7e89-9203-4e0a-8659-4df956b38678 · outbound

This paper cites We need to find the values ofa,b, andcthat maximize|a|+|b|+|c|while satisfying these constraints.

Hint-Guided Diversified Policy Optimization for LLM Reasoning We need to find the values ofa,b, andcthat maximize|a|+|b|+|c|while satisfying these constraints

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:52.513747Z

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Observation 9c57d91c-3805-4377-ba7f-785502f9e381 · outbound

This paper cites Then express a, b, c in terms of these values and use linear programming or symmetry arguments to maximize |a| + |b| + |c|.

Hint-Guided Diversified Policy Optimization for LLM Reasoning Then express a, b, c in terms of these values and use linear programming or symmetry arguments to maximize |a| + |b| + |c|

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:52.591365Z

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Observation 9beee6ca-e8d8-48be-b696-a85acde1f562 · outbound

This paper cites Apply the method of Lagrange multipliers to maximize the linear functional |a| + |b| + |c| subject to the quadratic constraint.

Hint-Guided Diversified Policy Optimization for LLM Reasoning Apply the method of Lagrange multipliers to maximize the linear functional |a| + |b| + |c| subject to the quadratic constraint

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:52.653407Z

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Observation 1248710d-c51b-4cf2-8ab1-450984e3ebb0 · outbound

This paper cites However, this may miss the global maximum if the optimal polynomial is not symmetric or has non-zero a and b.

Hint-Guided Diversified Policy Optimization for LLM Reasoning However, this may miss the global maximum if the optimal polynomial is not symmetric or has non-zero a and b

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:52.702950Z

Source-reported events for the cited work

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Observation 3428ce2f-5445-452a-b208-d0731abe43b4 · outbound

This paper cites Scale and shift the Chebyshev polynomial to satisfy the bound|P(x)| ≤1and compute the coefficients to find the maximum of |a| + |b| + |c|.

Hint-Guided Diversified Policy Optimization for LLM Reasoning Scale and shift the Chebyshev polynomial to satisfy the bound|P(x)| ≤1and compute the coefficients to find the maximum of |a| + |b| + |c|

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:52.756629Z

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Observation d4a4c7f8-5cfd-49b1-88d5-6bc9f4879966 · outbound

This paper cites - PointPis 4 units away from the circle, so the distance fromPto the centerOis6 + 4 = 10.

Hint-Guided Diversified Policy Optimization for LLM Reasoning - PointPis 4 units away from the circle, so the distance fromPto the centerOis6 + 4 = 10

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:52.893352Z

Source-reported events for the cited work

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Observation 24ba2916-f45f-4821-9ce0-eadac1e024ca · outbound

This paper cites But sincePis 4 units away from the circle and AB is parallel to ← →OP, the perpendicular distance fromOto ABmust be 4 (as 8 would place AB outside the circle).

Hint-Guided Diversified Policy Optimization for LLM Reasoning But sincePis 4 units away from the circle and AB is parallel to ← →OP, the perpendicular distance fromOto ABmust be 4 (as 8 would place AB outside the circle)

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:52.981079Z

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Observation b2be02ac-7311-420d-92d5-4a9a777144d8 · outbound

This paper cites - The chord ABis parallel to the x-axis and 2 units below the x-axis (since the distance from Oto ABis 4).

Hint-Guided Diversified Policy Optimization for LLM Reasoning - The chord ABis parallel to the x-axis and 2 units below the x-axis (since the distance from Oto ABis 4)

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:53.047009Z

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Observation 5a7f3fdb-33e5-41a6-acbe-b62e5ad9d97d · outbound

This paper cites an unresolved cited work.

Hint-Guided Diversified Policy Optimization for LLM Reasoning Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:53.106699Z

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Observation 0dcc36f0-25ae-4a07-bf5c-4094777d030c · outbound

This paper cites 19 Case 2 (Generation Model: Qwen2.5-Math-7B-HDPO) Question: CircleOhas radius 6.

Hint-Guided Diversified Policy Optimization for LLM Reasoning 19 Case 2 (Generation Model: Qwen2.5-Math-7B-HDPO) Question: CircleOhas radius 6

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:53.291528Z

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Observation a930312e-37f1-4013-9a76-38a24a41f4a8 · outbound

This paper cites SinceABis parallel toOP and the distance between them is 2, the perpendicular distance fromOtoABis either4 + 2 = 6 or4−2 = 2.

Hint-Guided Diversified Policy Optimization for LLM Reasoning SinceABis parallel toOP and the distance between them is 2, the perpendicular distance fromOtoABis either4 + 2 = 6 or4−2 = 2

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:53.450558Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a760fd0a-70d2-482e-9e34-cfe6b241c814 · outbound

This paper cites an unresolved cited work.

Hint-Guided Diversified Policy Optimization for LLM Reasoning Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:53.506946Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4d786531-c111-4ad6-bd7c-a381c23304cc · outbound

This paper cites Since chordABis parallel to ← →OP, it is horizontal, and the distance betweenAB and ← →OPis 2, soABis either aty= 2ory=−2.

Hint-Guided Diversified Policy Optimization for LLM Reasoning Since chordABis parallel to ← →OP, it is horizontal, and the distance betweenAB and ← →OPis 2, soABis either aty= 2ory=−2

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:53.617668Z

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Unavailable: canonical work link unavailable.

Observation cdb55b2d-a1c6-44a6-b6c4-f3d6fbd63325 · outbound

This paper cites propose-select-think.

Hint-Guided Diversified Policy Optimization for LLM Reasoning propose-select-think

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:53.677733Z

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Unavailable: canonical work link unavailable.

Observation 1545a31a-f893-4671-aacc-0b9ec204f355 · outbound

This paper cites Then apply the sum of cosine series formula for angles in arithmetic sequence, simplifying the resulting expression using symmetry and periodicity of the cosine function.

Hint-Guided Diversified Policy Optimization for LLM Reasoning Then apply the sum of cosine series formula for angles in arithmetic sequence, simplifying the resulting expression using symmetry and periodicity of the cosine function

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:53.745864Z

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Unavailable: canonical work link unavailable.

Observation 69b98ad9-4d0a-47e5-9252-bb491351ac34 · outbound

This paper cites However, this approach lacks precision and relies on approximation, making it unsuitable for exact computation.

Hint-Guided Diversified Policy Optimization for LLM Reasoning However, this approach lacks precision and relies on approximation, making it unsuitable for exact computation

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:53.793195Z

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Observation d77077b0-1efc-4674-897d-4c46714e7023 · outbound

This paper cites an unresolved cited work.

Hint-Guided Diversified Policy Optimization for LLM Reasoning Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:53.820126Z

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Observation 83cc1e74-017d-4047-a9aa-072a95d4cd11 · outbound

This paper cites </Candidate Solutions> <selected>[1]</selected> <thinking> We are given the sum: sin2 4◦ + sin2 8◦ + sin2 12◦ +· · ·+ sin2 176◦ This is a sum ofsin 2 θforθ= 4k ◦ wherek= 1,2,.

Hint-Guided Diversified Policy Optimization for LLM Reasoning </Candidate Solutions> <selected>[1]</selected> <thinking> We are given the sum: sin2 4◦ + sin2 8◦ + sin2 12◦ +· · ·+ sin2 176◦ This is a sum ofsin 2 θforθ= 4k ◦ wherek= 1,2,

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:53.841154Z

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Observation 86cde73d-8e00-4f3c-9df8-f0a67f849b41 · outbound

This paper cites GPQA: A Graduate-Level Google-Proof Q&A Benchmark.

Hint-Guided Diversified Policy Optimization for LLM Reasoning GPQA: A Graduate-Level Google-Proof Q&A Benchmark

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:50.958736Z

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Observation 8a118376-6d2a-4c97-be81-c204f113c223 · outbound

This paper cites DAPO: An Open-Source LLM Reinforcement Learning System at Scale.

Hint-Guided Diversified Policy Optimization for LLM Reasoning DAPO: An Open-Source LLM Reinforcement Learning System at Scale

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:51.506873Z

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Observation 5f2bc28b-a410-497d-b18d-f30fbda8d347 · outbound

This paper cites Learning to Reason under Off-Policy Guidance.

Hint-Guided Diversified Policy Optimization for LLM Reasoning Learning to Reason under Off-Policy Guidance

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:51.091898Z

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Observation 1db52df6-2413-495b-b2a4-73745f4af1a5 · outbound

This paper cites Kimi k1.5: Scaling Reinforcement Learning with LLMs.

Hint-Guided Diversified Policy Optimization for LLM Reasoning Kimi k1.5: Scaling Reinforcement Learning with LLMs

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-02T12:35:51.048915Z

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Pith citing papers

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