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Paper Citation Record · LEDGER

SPARQ: Synthetic Problem Generation for Reasoning via Quality-Diversity Algorithms

As of 15 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2506.06499.

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

pith.paper-citation-record.v1
2506.06499 v2

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:59:04.914665Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

17 of 17 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 636b0f40-d2ce-4b00-a687-2fa29576a052 · outbound

This paper cites STP: Self-play LLM Theorem Provers with Iterative Conjecturing and Proving.

SPARQ: Synthetic Problem Generation for Reasoning via Quality-Diversity Algorithms STP: Self-play LLM Theorem Provers with Iterative Conjecturing and Proving

Reference 3

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no resolver link, observed 2026-08-07T05:59:03.191174Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:59:03.191174Z digest=sha256:46b8fff89b7d4f65c16bb0cef2627fc7d4c1c39520c20198f0b6ac13e9fe8f12

Observation 05c392de-edbb-4834-8ecd-65d6c2389b0d · outbound

This paper cites Augmenting Math Word Problems via Iterative Question Composing.

SPARQ: Synthetic Problem Generation for Reasoning via Quality-Diversity Algorithms Augmenting Math Word Problems via Iterative Question Composing

Reference 7

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no resolver link, observed 2026-08-07T05:59:03.724818Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:59:03.724818Z digest=sha256:109170050eb4ad2c19e95c23d73e1fe4b1e952a920017b1c14a52827b2611814

Observation f6f9f615-4df2-4ade-ac70-4f1c89bed220 · outbound

This paper cites WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instruct.

SPARQ: Synthetic Problem Generation for Reasoning via Quality-Diversity Algorithms WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instruct

Reference 8

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no resolver link, observed 2026-08-07T05:59:03.833516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:59:03.833516Z digest=sha256:1b69558d1c2c7207a8ae0ecaf39a241c0530a8a3dc2780a4d63a9900e009bd8f

Observation 2f318d3f-311a-42fc-b0c6-adc8c5eaff64 · outbound

This paper cites Learning Formal Mathematics From Intrinsic Motivation.

SPARQ: Synthetic Problem Generation for Reasoning via Quality-Diversity Algorithms Learning Formal Mathematics From Intrinsic Motivation

Reference 10

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no resolver link, observed 2026-08-07T05:59:04.132004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:59:04.132004Z digest=sha256:7d9eb25dd220152687e95c8d8a32f21af359bcc1754cdc0db6183869ca2c843c

Observation 96ed1b80-d670-428a-949e-227280c07d61 · outbound

This paper cites Mikayel Samvelyan, Sharath Chandra Raparthy, Andrei Lupu, Eric Hambro, Aram H.

SPARQ: Synthetic Problem Generation for Reasoning via Quality-Diversity Algorithms Mikayel Samvelyan, Sharath Chandra Raparthy, Andrei Lupu, Eric Hambro, Aram H

Reference 11

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no resolver link, observed 2026-08-07T05:59:04.269861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:59:04.269861Z digest=sha256:143fc8df79b909d6d0aea36b86000edbfcf74e6609d43788327a7a24b33a40fd

Observation e5e4dfcb-47a4-4f45-a5dd-578774dff898 · outbound

This paper cites Beyond Human Data: Scaling Self-Training for Problem-Solving with Language Models.

SPARQ: Synthetic Problem Generation for Reasoning via Quality-Diversity Algorithms Beyond Human Data: Scaling Self-Training for Problem-Solving with Language Models

Reference 12

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no resolver link, observed 2026-08-07T05:59:04.390203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:59:04.390203Z digest=sha256:066c00e5823e201c4270dc3f0eb1a61ab255a691e0499562debfee1892a3d3a7

Observation 53401402-b337-47e6-821e-4f5a5ca25942 · outbound

This paper cites Gemma 2: Improving Open Language Models at a Practical Size.

SPARQ: Synthetic Problem Generation for Reasoning via Quality-Diversity Algorithms Gemma 2: Improving Open Language Models at a Practical Size

Reference 13

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no resolver link, observed 2026-08-07T05:59:04.477301Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:59:04.477301Z digest=sha256:a51dd00efa16cd7dd559bde9a3bf3b5d758fce6044147468d7084aec8bbc2499

Observation a2efa990-e530-4441-92b9-f9d0df2450d4 · outbound

This paper cites Open-Ended Learning Leads to Generally Capable Agents.

SPARQ: Synthetic Problem Generation for Reasoning via Quality-Diversity Algorithms Open-Ended Learning Leads to Generally Capable Agents

Reference 14

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no resolver link, observed 2026-08-07T05:59:04.589837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:59:04.589837Z digest=sha256:eb0aa863eaacbc6d259eeb0b7f46dd3ca0604858e44459de969a7bfd8c218f7c

Observation 79b9410f-4f44-4246-ae22-176812a71ed7 · outbound

This paper cites Evolutionary Computation in the Era of Large Language Model: Survey and Roadmap.

SPARQ: Synthetic Problem Generation for Reasoning via Quality-Diversity Algorithms Evolutionary Computation in the Era of Large Language Model: Survey and Roadmap

Reference 15

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no resolver link, observed 2026-08-07T05:59:04.714714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:59:04.714714Z digest=sha256:8dfeb374224574a5acc1a8c1f11299c4295fb94b1374ba80a3765948b8673b05

Observation ba525dda-4628-4a8f-affa-26c74f75d3d0 · outbound

This paper cites MetaMath: Bootstrap Your Own Mathematical Questions for Large Language Models.

SPARQ: Synthetic Problem Generation for Reasoning via Quality-Diversity Algorithms MetaMath: Bootstrap Your Own Mathematical Questions for Large Language Models

Reference 16

Resolution
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:59:04.807050Z digest=sha256:08de062cf9d1549dd3e6463468e52d520c138254c7c667684331e6a3063ec86e

Observation 71bb15fe-d816-4bc2-a8f1-9796d2593bc7 · outbound

This paper cites MAmmoTH: Building Math Generalist Models through Hybrid Instruction Tuning.

SPARQ: Synthetic Problem Generation for Reasoning via Quality-Diversity Algorithms MAmmoTH: Building Math Generalist Models through Hybrid Instruction Tuning

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T05:59:04.914665Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:59:04.914665Z digest=sha256:871994d6548928538998a90d9f9867b954f301aea0816e3139ec323dcd6ac4ed

Observation b955b01e-2d9b-4eb3-b853-192167374063 · outbound

This paper cites Illuminating search spaces by mapping elites.

SPARQ: Synthetic Problem Generation for Reasoning via Quality-Diversity Algorithms Illuminating search spaces by mapping elites

Reference 2015

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no resolver link, observed 2026-08-07T05:59:03.943693Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:59:03.943693Z digest=sha256:651cdd8bc5a1019de88478f70350bef77a2b87e6c61caee4a2bdcca489e30bf2

Observation a70bfe7f-3d3b-4ea5-9228-8126eb576d70 · outbound

This paper cites Measuring Mathematical Problem Solving With the MATH Dataset.

SPARQ: Synthetic Problem Generation for Reasoning via Quality-Diversity Algorithms Measuring Mathematical Problem Solving With the MATH Dataset

Reference 2021

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no resolver link, observed 2026-08-07T05:59:03.328803Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:59:03.328803Z digest=sha256:58f6782735e316816c9df2eb8acdae18145591acd5ab02b9811c51f602626c62

Observation def2b7f9-068a-4483-a1d2-375dc17bdce1 · outbound

This paper cites Evolution through Large Models.

SPARQ: Synthetic Problem Generation for Reasoning via Quality-Diversity Algorithms Evolution through Large Models

Reference 2022

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no resolver link, observed 2026-08-07T05:59:03.428683Z

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source=pdf_text observed=2026-08-07T05:59:03.428683Z digest=sha256:599d83bad784b64fcc1bd0c0af9968e989d8c91ac315616128ae9ec9a4959a36

Observation 87d472b8-c768-4763-8e56-8f388bf7b4d1 · outbound

This paper cites Quality-Diversity through AI Feedback.

SPARQ: Synthetic Problem Generation for Reasoning via Quality-Diversity Algorithms Quality-Diversity through AI Feedback

Reference 2023

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no resolver link, observed 2026-08-07T05:59:02.928475Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:59:02.928475Z digest=sha256:c45e02d97e6b67e99b83fd8e5febaa9c05333dd2baa5a91562106327a7a053c5

Observation 66494c96-ae4b-47ff-92a2-624763c5b192 · outbound

This paper cites MuggleMath: Assessing the Impact of Query and Response Augmentation on Math Reasoning.

SPARQ: Synthetic Problem Generation for Reasoning via Quality-Diversity Algorithms MuggleMath: Assessing the Impact of Query and Response Augmentation on Math Reasoning

Reference 2024

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no resolver link, observed 2026-08-07T05:59:03.565487Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:59:03.565487Z digest=sha256:7964d3cba6deab1c6e4f91a40f211ae9e8d5247ced56ee26087e280b8489b459

Observation 93bcd540-c87d-4052-ad87-619049e3ec72 · outbound

This paper cites DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning.

SPARQ: Synthetic Problem Generation for Reasoning via Quality-Diversity Algorithms DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning

Reference 2025

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no resolver link, observed 2026-08-07T05:59:03.050740Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:59:03.050740Z digest=sha256:8916d9555847a8f7a114772ad7c214888e6f859005747bee1eef4241e7b4a77a

Pith citing papers

No inbound Pith citation observations are available.