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Paper Citation Record · LEDGER

Formal Mathematical Reasoning: A New Frontier in AI

As of 5 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 18 inbound Pith citation observations for arXiv:2412.16075.

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

pith.paper-citation-record.v1
2412.16075 v1

Coverage vector

measured 0 of 0 reference resolution

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Source: paper_references, paper_reference_links

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 18 of 18 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T16:11:23.266209Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-09T18:46:26.486917Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

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Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 067637d8-8e93-47f4-884c-8634dc6ec5e9 · inbound

AlphaEvolve: A coding agent for scientific and algorithmic discovery cites this paper.

AlphaEvolve: A coding agent for scientific and algorithmic discovery Formal Mathematical Reasoning: A New Frontier in AI

Reference 114

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arxiv_id, observed 2026-05-10T21:27:24.748956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation d208237d-31a9-44e0-a98f-3467aca6df50 · inbound

FormaRL: Enhancing Autoformalization with no Labeled Data cites this paper.

FormaRL: Enhancing Autoformalization with no Labeled Data Formal Mathematical Reasoning: A New Frontier in AI

Reference 39

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no resolver link, observed 2026-08-05T16:11:23.266209Z

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Unavailable: canonical work link unavailable.

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Observation 22a714ed-5a4c-4139-80a5-191eb874b120 · inbound

Large Lemma Miners: Can LLMs do Induction Proofs for Hardware? cites this paper.

Large Lemma Miners: Can LLMs do Induction Proofs for Hardware? Formal Mathematical Reasoning: A New Frontier in AI

Reference 14

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arxiv_id, observed 2026-05-18T01:35:36.373061Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation cb83a3fd-34b5-4831-bca2-b26d88560300 · inbound

Large Lemma Miners: Can LLMs do Induction Proofs for Hardware? cites this paper.

Large Lemma Miners: Can LLMs do Induction Proofs for Hardware? Formal Mathematical Reasoning: A New Frontier in AI

Reference 14

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no resolver link, observed 2026-08-04T00:14:48.570599Z

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Unavailable: canonical work link unavailable.

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Observation d59f6aef-fe9b-4707-8377-3265b5601076 · inbound

ReasonBENCH: Benchmarking the (In)Stability of LLM Reasoning cites this paper.

ReasonBENCH: Benchmarking the (In)Stability of LLM Reasoning Formal Mathematical Reasoning: A New Frontier in AI

Reference 25

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no resolver link, observed 2026-08-03T17:53:56.607718Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:53:56.607718Z digest=sha256:e57ed7e59a48c16bf01f97ddf51edc37cdc2c82751d3429a9ef55a49f90dc723

Observation 9bbf999c-26dd-4536-8aa4-e8bcbc6b491f · inbound

Formula-One Prompting: A Composable Equation-First Prefix for Applied Mathematics cites this paper.

Formula-One Prompting: A Composable Equation-First Prefix for Applied Mathematics Formal Mathematical Reasoning: A New Frontier in AI

Reference 7

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no resolver link, observed 2026-08-03T07:46:08.986721Z

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Unavailable: canonical work link unavailable.

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Observation 6212b372-0b25-4f39-8c9b-6e2c666b068e · inbound

Transforming External Knowledge into Triplets for Enhanced Retrieval in RAG of LLMs cites this paper.

Transforming External Knowledge into Triplets for Enhanced Retrieval in RAG of LLMs Formal Mathematical Reasoning: A New Frontier in AI

Reference 9

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arxiv_id, observed 2026-05-11T09:56:05.497914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 749da4cd-c1d1-4ef0-aa3e-7c6bf3a200eb · inbound

Lean Atlas: An Integrated Proof Environment for Scalable Human-AI Collaborative Formalization cites this paper.

Lean Atlas: An Integrated Proof Environment for Scalable Human-AI Collaborative Formalization Formal Mathematical Reasoning: A New Frontier in AI

Reference 22

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arxiv_id, observed 2026-05-15T10:25:26.629750Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 6a10b476-d1ed-443c-982f-de6970de5114 · inbound

Rethinking Wireless Communications through Formal Mathematical AI Reasoning cites this paper.

Rethinking Wireless Communications through Formal Mathematical AI Reasoning Formal Mathematical Reasoning: A New Frontier in AI

Reference 54

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arxiv_id, observed 2026-05-12T00:11:16.551605Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 5d1a4b47-4817-4c95-ad84-343f66b1cc8a · inbound

A conceptual framework for learning to listen by reward: Curiosity-driven search for novel sources cites this paper.

A conceptual framework for learning to listen by reward: Curiosity-driven search for novel sources Formal Mathematical Reasoning: A New Frontier in AI

Reference 7

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arxiv_id, observed 2026-05-20T04:23:02.990346Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 990b8fe7-f51e-41d1-9038-c995046faa22 · inbound

Learning First Integrals via Backward-Generated Data and Guided Reinforcement Learning cites this paper.

Learning First Integrals via Backward-Generated Data and Guided Reinforcement Learning Formal Mathematical Reasoning: A New Frontier in AI

Reference 5

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verified exact
arxiv_id, observed 2026-05-21T05:59:41.154782Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation d73f18ac-ef5b-4875-95eb-29c60ca94b1d · inbound

Advancing Mathematics Research with AI-Driven Formal Proof Search cites this paper.

Advancing Mathematics Research with AI-Driven Formal Proof Search Formal Mathematical Reasoning: A New Frontier in AI

Reference 66

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arxiv_id, observed 2026-05-22T05:11:06.287326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 7628de66-7f19-4d13-8c84-7f299b74b4be · inbound

Advancing Mathematics Research with AI-Driven Formal Proof Search cites this paper.

Advancing Mathematics Research with AI-Driven Formal Proof Search Formal Mathematical Reasoning: A New Frontier in AI

Reference 66

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arxiv_id, observed 2026-06-30T17:04:57.643161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 5775e607-1276-47ab-8606-765f2e77655a · inbound

Artificial Intelligence for Mathematical Reasoning: An Integrated Survey of Language Models, Neuro-symbolic Systems, and Verified Discovery cites this paper.

Artificial Intelligence for Mathematical Reasoning: An Integrated Survey of Language Models, Neuro-symbolic Systems, and Verified Discovery Formal Mathematical Reasoning: A New Frontier in AI

Reference 26

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arxiv_id, observed 2026-07-02T22:47:26.017745Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 0e8b2c80-8544-47b6-91db-ae16bb6e78df · inbound

Artificial Intelligence for Mathematical Reasoning: An Integrated Survey of Language Models, Neuro-symbolic Systems, and Verified Discovery cites this paper.

Artificial Intelligence for Mathematical Reasoning: An Integrated Survey of Language Models, Neuro-symbolic Systems, and Verified Discovery Formal Mathematical Reasoning: A New Frontier in AI

Reference 26

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no resolver link, observed 2026-08-02T12:05:03.800424Z

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Unavailable: canonical work link unavailable.

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Observation 6dad3966-0862-49e0-92e9-47db301af197 · inbound

FormalRx: Rectify and eXamine Semantic Failures in Autoformalization cites this paper.

FormalRx: Rectify and eXamine Semantic Failures in Autoformalization Formal Mathematical Reasoning: A New Frontier in AI

Reference 140

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no resolver link, observed 2026-07-11T15:42:50.296348Z

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source=arxiv_source observed=2026-07-11T15:42:50.296348Z digest=sha256:b1f1f78959d9ed4c6862cfd90815520e69f7b12759f51a7385d25ef8256c12cd

Observation 47b3237d-08b8-41f8-8baa-86954caef918 · inbound

The Technological Turn in Mathematics cites this paper.

The Technological Turn in Mathematics Formal Mathematical Reasoning: A New Frontier in AI

Reference 3

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local_arxiv, observed 2026-07-09T18:46:26.488550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation dc9bc086-7a3c-4140-b08f-0bcef6924036 · inbound

CausalForge: A Formally Grounded, Self-Improving Agentic Framework for Automated Research in Causal Inference cites this paper.

CausalForge: A Formally Grounded, Self-Improving Agentic Framework for Automated Research in Causal Inference Formal Mathematical Reasoning: A New Frontier in AI

Reference 51

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no resolver link, observed 2026-08-01T04:34:01.479021Z

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