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Paper Citation Record · LEDGER

Agentic Proving for Program Verification

As of 20 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2605.23772.

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

pith.paper-citation-record.v1
2605.23772 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-25T04:02:22.170884Z

measured 38 of 38 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 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

38 of 38 outbound references displayed

  • verified exact24
  • verified fuzzy13
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 680c4842-4a4d-40a8-9746-461575126524 · outbound

This paper cites Aristotle: IMO-level Automated Theorem Proving.

Agentic Proving for Program Verification Aristotle: IMO-level Automated Theorem Proving

Reference 1

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local_arxiv, observed 2026-05-25T04:05:20.622338Z

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Observation cb6f70c6-4939-4d46-9c23-f7d28c0ed57a · outbound

This paper cites Claude-agent-sdk-python.

Agentic Proving for Program Verification Claude-agent-sdk-python

Reference 2

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Observation 5151f7d5-1785-4cd5-9e22-7a2c22835b2e · outbound

This paper cites Mizar: State-of-the-art and beyond.

Agentic Proving for Program Verification Mizar: State-of-the-art and beyond

Reference 3

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doi, observed 2026-05-25T04:05:19.967917Z

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source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:361357a6be6ca07e8adc4147a6d81053f3e8b2201c36d694e2eac4fa7148bca9

Observation b26b3ab6-4ec8-46e0-aeb2-e5ab4bc450d9 · outbound

This paper cites A Case Study on the Effectiveness of LLMs in Verification with Proof Assistants.

Agentic Proving for Program Verification A Case Study on the Effectiveness of LLMs in Verification with Proof Assistants

Reference 4

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arxiv_id, observed 2026-05-25T04:05:20.634391Z

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source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:26a13639ab8b187d93204fd6fb2155de414bfa60cba68c16e930b1c42608e5a1

Observation c93be20f-1d7f-461a-9620-0350bec7b6a6 · outbound

This paper cites Brown, and Josef Urban.

Agentic Proving for Program Verification Brown, and Josef Urban

Reference 5

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source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:b4d46ee21d32c82afb911a4d9c1addcfe329466c2b3fc0af550a6aa91c69e2a9

Observation 451a513e-ba32-4ff7-96e9-01a9312b288d · outbound

This paper cites Evaluating Large Language Models Trained on Code.

Agentic Proving for Program Verification Evaluating Large Language Models Trained on Code

Reference 6

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local_arxiv, observed 2026-05-25T04:05:20.616690Z

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

source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:135bc71a2ae4e306f04035cea6990d430bd2df612dc2ee183decd93594ad3f73

Observation c29c1302-bcd5-432f-a858-f49314b7c0b1 · outbound

This paper cites Seed-Prover: Deep and Broad Reasoning for Automated Theorem Proving.

Agentic Proving for Program Verification Seed-Prover: Deep and Broad Reasoning for Automated Theorem Proving

Reference 7

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arxiv_id, observed 2026-05-25T04:05:20.640235Z

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source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:e5a31c1b800ca2ae6438ec475e9001c9ccb0c68c51ff44b033ac88e7f9674a72

Observation 77b75311-1f28-4433-9b76-1454f6a1c37c · outbound

This paper cites LeanHammer.

Agentic Proving for Program Verification LeanHammer

Reference 8

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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.

source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:df5a297a3b63ba39db48b65b38882e140454b3916cde7721a8fd5bf961b48aa3

Observation 3416f2fb-0349-4574-95df-80348a866a93 · outbound

This paper cites Lean-lsp-mcp.

Agentic Proving for Program Verification Lean-lsp-mcp

Reference 9

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source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:41bb0f570816b9f293ed01edc46d3148238ee1299fb6967e8985f64817323126

Observation 058edf85-0d21-4740-a0ab-80877f596c54 · outbound

This paper cites Certified Program Synthesis with a Multi-Modal Verifier.

Agentic Proving for Program Verification Certified Program Synthesis with a Multi-Modal Verifier

Reference 10

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local_arxiv, observed 2026-05-25T04:05:20.628611Z

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source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:db77c9c6f4df84f311fdc2736aa3cc5077dcce7ee867fc2c704846d6d5a03720

Observation 13328de2-66c4-4f3a-b9f7-c0e0f2f2bf6e · outbound

This paper cites Lean4-skills.

Agentic Proving for Program Verification Lean4-skills

Reference 11

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source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:efb7159a9ae7a7d05daa53d5c629a65722f552f825b9aa533ca0cf0de0b64121

Observation e1f6be72-a853-4af9-96cc-890fcfba642f · outbound

This paper cites Hol light: A tutorial introduction.

Agentic Proving for Program Verification Hol light: A tutorial introduction

Reference 12

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source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:ab927b01984652129815fbbef11f668781a5b0c141d5a82ba1c2efbebdd23583

Observation 2f744206-edd0-409b-bd08-598b9488b418 · outbound

This paper cites Winning gold at imo 2025 with a model-agnostic verification- and-refinement pipeline.

Agentic Proving for Program Verification Winning gold at imo 2025 with a model-agnostic verification- and-refinement pipeline

Reference 13

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source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:d1354e729bef0b3db9cf8320a0dcfd4cf987b1be910f4b2c018acc675a70b86c

Observation 42ddc457-9e09-4e36-98cf-a37b82c641dd · outbound

This paper cites URL https://aclanthology.org/2025.

Agentic Proving for Program Verification URL https://aclanthology.org/2025

Reference 14

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doi, observed 2026-05-25T04:05:19.951992Z

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source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:3f1ca2f013d1c34db492fe8f685bd406fd27c501d9eaec12b76e99c0ddb51442

Observation d502bbdb-e90a-4d8d-ba99-bc7e31133a1a · outbound

This paper cites Intent formalization: A grand challenge for reliable coding in the age of ai agents.

Agentic Proving for Program Verification Intent formalization: A grand challenge for reliable coding in the age of ai agents

Reference 15

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arxiv_id, observed 2026-05-25T04:05:20.663237Z

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source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:89050536712dec688b1630adf8767f95ca83d71b71ea187a019f5b226be401c7

Observation 8d780983-4c45-4a23-989f-9d83b4da1650 · outbound

This paper cites Goedel-Code-Prover: Hierarchical Proof Search for Open State-of-the-Art Code Verification.

Agentic Proving for Program Verification Goedel-Code-Prover: Hierarchical Proof Search for Open State-of-the-Art Code Verification

Reference 16

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arxiv_id, observed 2026-08-11T03:20:54.894970Z

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source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:d2f4f2659ec7e1d821f3f784418bff09207472b4ce6697411d003bff19135727

Observation e7cb7b4f-9800-42e6-abe9-3b09d780046b · outbound

This paper cites Aesop: White-Box Best-First Proof Search for Lean.

Agentic Proving for Program Verification Aesop: White-Box Best-First Proof Search for Lean

Reference 17

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source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:11e8e007b2f0d172064e3aec9dff200522563aa005d90b552ab2f35091d45b6a

Observation d94be3fb-3c0c-4361-ac07-a808b0d10d58 · outbound

This paper cites FVEL: Interactive Formal Verification Environment with Large Language Models via Theorem Proving.

Agentic Proving for Program Verification FVEL: Interactive Formal Verification Environment with Large Language Models via Theorem Proving

Reference 18

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arxiv_id, observed 2026-05-25T04:05:20.651879Z

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source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:50df6ebed8f21252fe4822865175325bd4f804b87223ad61ffff8654cdb7d598

Observation 29e888ba-4bfa-4452-a059-168a4f37da00 · outbound

This paper cites Goedel-Prover-V2: Scaling Formal Theorem Proving with Scaffolded Data Synthesis and Self-Correction.

Agentic Proving for Program Verification Goedel-Prover-V2: Scaling Formal Theorem Proving with Scaffolded Data Synthesis and Self-Correction

Reference 19

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local_arxiv, observed 2026-05-25T04:05:20.676654Z

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source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:bae2893cd35418c2a63fa893d645b915c3e4b8b2807c025ccd520f9e4b396c09

Observation d25b5637-4006-4ae2-a171-7959a8ca1fd8 · outbound

This paper cites Numina-Lean-Agent: An Open and General Agentic Reasoning System for Formal Mathematics.

Agentic Proving for Program Verification Numina-Lean-Agent: An Open and General Agentic Reasoning System for Formal Mathematics

Reference 20

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source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:a4a6882dafc6a9943c6cc77de104a0e06dff45978e54e5649a8941902842d4d5

Observation 49f86fd9-18a4-455e-9390-5be0e6dd3c70 · outbound

This paper cites The lean 4 theorem prover and programming language.

Agentic Proving for Program Verification The lean 4 theorem prover and programming language

Reference 21

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source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:3a16b5254d1330451520b07d6f73db5fe261e641e235f7dec48cfcef56f45bcb

Observation b9143b1f-0476-4df9-aab8-63efc7c4dbf2 · outbound

This paper cites Paulson, and Markus Wenzel.Isabelle/HOL: A Proof Assistant for Higher- Order Logic, volume 2283 ofLecture Notes in Computer Science.

Agentic Proving for Program Verification Paulson, and Markus Wenzel.Isabelle/HOL: A Proof Assistant for Higher- Order Logic, volume 2283 ofLecture Notes in Computer Science

Reference 22

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source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:be18e6495ad1887b82c40fbe38ce301c5f02486d1eda6571f390ca23a75cb1e7

Observation 9fcbcfe1-838c-417e-932e-984237a67c9a · outbound

This paper cites PhD thesis, Chalmers University of Technology and Göteborg University.

Agentic Proving for Program Verification PhD thesis, Chalmers University of Technology and Göteborg University

Reference 23

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source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:4f0e95c1ac5894a4ad0cb5650922d3159f6f3567f6818568601e7c25ae5fe8f0

Observation 2460f533-1912-4f35-9c47-b6e44382e0d6 · outbound

This paper cites Canonical for Automated Theorem Proving in Lean.

Agentic Proving for Program Verification Canonical for Automated Theorem Proving in Lean

Reference 24

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source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:c1c2430f36d651882b205727a14f7452b4ebb3a9581725ccb41aaf637a034b16

Observation c6fde471-dfb8-4246-9902-4ba4d5822407 · outbound

This paper cites Lean-lsp-mcp.

Agentic Proving for Program Verification Lean-lsp-mcp

Reference 25

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source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:3fa8e432bd5cba47233c287729719b2abf9887307856848d27125eff11fce89a

Observation c6ad9a74-21e6-41c0-93e8-f94d02ab6af2 · outbound

This paper cites Numina-lean-agent.

Agentic Proving for Program Verification Numina-lean-agent

Reference 26

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source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:8c6a171739aca14fdc66f0a12a0a96a68093e1b7bb536b571c616c5cd18b2c85

Observation d7200234-a8fc-4d4a-bd94-81b12fd08f97 · outbound

This paper cites DeepSeek-Prover-V2: Advancing Formal Mathematical Reasoning via Reinforcement Learning for Subgoal Decomposition.

Agentic Proving for Program Verification DeepSeek-Prover-V2: Advancing Formal Mathematical Reasoning via Reinforcement Learning for Subgoal Decomposition

Reference 27

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local_arxiv, observed 2026-05-25T04:05:20.691403Z

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source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:1ecef4468af0028959757a3f30179ccd5a9a71b124854edb1d418fad310e39e9

Observation 0c8affe7-c7b2-4299-b9c9-76b2c85d1614 · outbound

This paper cites The rocq prover.Project website, 2026.https://rocq-prover.org.

Agentic Proving for Program Verification The rocq prover.Project website, 2026.https://rocq-prover.org

Reference 28

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source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:cf781dce2cd77759c07dfc20907c012ab132498ee7e920c9f25e4d587bb224d4

Observation 595fe84e-9a02-46a7-b692-d485a6a31735 · outbound

This paper cites A brief overview of HOL4.

Agentic Proving for Program Verification A brief overview of HOL4

Reference 29

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doi, observed 2026-05-25T04:05:19.947409Z

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source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:cc689d816b4516f41a1200a6f41b1bd62c9a6eb45076aec8e9798bf57b86fec3

Observation 0cca331a-e2b7-47f6-a26c-7324082cf456 · outbound

This paper cites An In-Context Learning Agent for Formal Theorem-Proving.

Agentic Proving for Program Verification An In-Context Learning Agent for Formal Theorem-Proving

Reference 30

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arxiv_id, observed 2026-05-25T04:05:20.718664Z

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

source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:55cd5582d2bcee953b72ae047b98202d0066e706c74a05b2d0c765687accc2ff

Observation 941b1014-6eac-407e-b8df-fbb5983f202e · outbound

This paper cites CLEVER: A Curated Benchmark for Formally Verified Code Generation.

Agentic Proving for Program Verification CLEVER: A Curated Benchmark for Formally Verified Code Generation

Reference 31

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arxiv_id, observed 2026-05-25T04:05:20.645907Z

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

source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:cdd574345d0a84fcfe106b5ba2f7e8eadf56cdcc9d3a0bc2f474c706f4deb6d0

Observation d986f0b6-14ca-4715-89a1-389b4ab44dc9 · outbound

This paper cites Lean FRO.

Agentic Proving for Program Verification Lean FRO

Reference 32

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raw_fallback, observed 2026-05-25T16:47:05.655223Z

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

source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:7afab2cbb181c32751eb6cfe54df627b92c865edf8df5014c535201bd1ced0fc

Observation 47e37856-6078-4fc7-ab63-acb437bbe098 · outbound

This paper cites Minif2f in rocq: Automatic translation between proof assistants – a case study.

Agentic Proving for Program Verification Minif2f in rocq: Automatic translation between proof assistants – a case study

Reference 33

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arxiv_id, observed 2026-05-25T04:05:20.712919Z

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

source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:45f2dc077e97834576360ea3572aa13fbb316a969ec4319abaf15c6ac13e2c5d

Observation c5e8be51-d435-4be1-b335-10afe56ed427 · outbound

This paper cites Kimina-Prover Preview: Towards Large Formal Reasoning Models with Reinforcement Learning.

Agentic Proving for Program Verification Kimina-Prover Preview: Towards Large Formal Reasoning Models with Reinforcement Learning

Reference 34

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local_arxiv, observed 2026-05-25T04:05:20.699555Z

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

source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:9134b5a82c8022a3c6188b1bf67e8829051501df2974a4ee05eb44c129b23652

Observation 4e6ae7cb-3c68-4bfc-be57-dd01ddfe283d · outbound

This paper cites A minimalist proof language for neural theorem proving over isabelle/hol.

Agentic Proving for Program Verification A minimalist proof language for neural theorem proving over isabelle/hol

Reference 35

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arxiv_id, observed 2026-05-25T04:05:20.706661Z

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.

source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:8402b549bf29ad4ac2f4d95ac5177dd1f9bcef50f97e75f32db3e35d39375be5

Observation f96309eb-d7d5-4eed-9db3-214c8b2e3321 · outbound

This paper cites VERINA: Bench- marking Verifiable Code Generation.

Agentic Proving for Program Verification VERINA: Bench- marking Verifiable Code Generation

Reference 36

Resolution
verified exact
arxiv_id, observed 2026-05-25T04:05:20.729497Z

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.

source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:02eb2e9194be2b26f981e693c766db610938fce4e311a37ae8777f90c7625b41

Observation 1c3eaa49-ad81-4cdb-ab02-b94ac03e30c5 · outbound

This paper cites This is guaranteed to exist for odd-degree polynomials (even-length coefficient list) with non-zero leading coefficient – exactly the docstring’s preconditions.

Agentic Proving for Program Verification This is guaranteed to exist for odd-degree polynomials (even-length coefficient list) with non-zero leading coefficient – exactly the docstring’s preconditions

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T16:47:05.666744Z

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.

source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:1fe028ddcf219dc6eaa1ad82c25affe7bd6daf4be5976d415a33a008e02c2146

Observation a9021c9c-929c-49dc-8136-9fb521682417 · outbound

This paper cites Each step halves the interval containing the root.

Agentic Proving for Program Verification Each step halves the interval containing the root

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T16:47:05.695456Z

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.

source=pdf_text observed=2026-05-25T04:02:22.170884Z digest=sha256:0225049d749822a17ce47aa1070bb9812ee76840b7fd6ccc834be5862fa3357c

Pith citing papers

No inbound Pith citation observations are available.