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Paper Citation Record · LEDGER

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation

As of 19 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2608.09277.

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

pith.paper-citation-record.v1
2608.09277 v1

Coverage vector

measured 56 of 56 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T20:22:28.574618Z

measured 56 of 56 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

56 of 56 outbound references displayed

  • verified exact2
  • verified fuzzy25
  • unresolved28
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d64ea52c-512a-4363-bd0d-76dea1af2770 · outbound

This paper cites Large language model-based agents for software engineering: A survey.ACM Transactions on Software Engineering and Methodology, 2024.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Large language model-based agents for software engineering: A survey.ACM Transactions on Software Engineering and Methodology, 2024

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:22:28.298732Z digest=sha256:76e1b379b1fe2e07624fae919aca743ff53fab5f9ed62f62b7a9d54c3c69db0e

Observation 8a9da94f-bd12-4c93-b5ba-3403cf5ea54b · outbound

This paper cites A Survey on Code Generation with LLM-based Agents.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation A Survey on Code Generation with LLM-based Agents

Reference 2

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:22:28.303465Z digest=sha256:3059e3aea1d1e22b5db77d104ebf72046a3e1cb226fb4b422ee4de4be1bb5453

Observation 0b0bd5cc-da8a-49ba-b27f-0dcc96f394a6 · outbound

This paper cites A survey on large language models for code generation.ACM Transactions on Software Engineering and Methodology, 35 (2):1–72, 2026.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation A survey on large language models for code generation.ACM Transactions on Software Engineering and Methodology, 35 (2):1–72, 2026

Reference 3

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:22:28.308517Z digest=sha256:11f8f14afb039ab4eeee32c62537f65671e6b653122e6f00314ce974d86c189d

Observation de93cffb-e21e-4268-974b-43d140dd66b8 · outbound

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

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation The lean 4 theorem prover and programming language

Reference 4

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no resolver link, observed 2026-08-11T20:22:28.314670Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:22:28.314670Z digest=sha256:77965e05eaa30bfbfd7b92b9283a2b18d315f4490ab40b96d18367192685d1b1

Observation 4569aa35-964f-421e-8657-591c5f8060f8 · outbound

This paper cites Growing mathlib: maintenance of a large scale mathematical library.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Growing mathlib: maintenance of a large scale mathematical library

Reference 5

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no resolver link, observed 2026-08-11T20:22:28.319415Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:22:28.319415Z digest=sha256:222e32301b946de6100d5442178ff3f69fd98ae23b9a7a4346e9f451d81d2487

Observation e5423e5d-5f49-46df-bc39-0b0c88742e39 · outbound

This paper cites Cslib: The lean computer science library.arXiv preprint arXiv:2602.04846, 2026.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Cslib: The lean computer science library.arXiv preprint arXiv:2602.04846, 2026

Reference 6

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no resolver link, observed 2026-08-11T20:22:28.323616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:22:28.323616Z digest=sha256:f2e7746e6252369bd12f3b419ca90c8d5042cd398d6f593596789155f9a5907b

Observation 1876f662-849e-49e5-9b8d-b62911b61c32 · outbound

This paper cites Verina: Benchmarking verifiable code generation.arXiv preprint arXiv:2505.23135, 2025.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Verina: Benchmarking verifiable code generation.arXiv preprint arXiv:2505.23135, 2025

Reference 7

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no resolver link, observed 2026-08-11T20:22:28.328965Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:22:28.328965Z digest=sha256:7da8dd68009df5eb900b257b6ce4d73d0e7fad6e95ff30ac51a989d6a974376e

Observation 9f6412b0-24b1-42ca-ad92-aa858c3313f9 · outbound

This paper cites Proving the coding interview: A benchmark for formally verified code generation.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Proving the coding interview: A benchmark for formally verified code generation

Reference 8

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no resolver link, observed 2026-08-11T20:22:28.333263Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:22:28.333263Z digest=sha256:03e0acbf953b96145ef2311671c172888879e1d5f8873e116db442d03362d5c8

Observation 1652f593-b625-45a0-9d38-aa920ce437ae · outbound

This paper cites WybeCoder: Verified Imperative Code Generation.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation WybeCoder: Verified Imperative Code Generation

Reference 9

Resolution
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no resolver link, observed 2026-08-11T20:22:28.338085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:22:28.338085Z digest=sha256:24a51544cd873e9471f05b9329a7cb4b5f0dbe9f4d1d76d843168f51cc73e5d2

Observation 1691d8fc-4cb8-40e0-9ea8-0e73340283d3 · outbound

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

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Goedel-Code-Prover: Hierarchical Proof Search for Open State-of-the-Art Code Verification

Reference 10

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no resolver link, observed 2026-08-11T20:22:28.348778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:22:28.348778Z digest=sha256:d3388b62fb6237f4a72f91c67db07462d2c81b23b997e4b072dc07291b2a9607

Observation e2760132-3570-4008-b5b4-3bd766e5a489 · outbound

This paper cites Autoverus: Automated proof generation for rust code.Proceedings of the ACM on Programming Languages, 9(OOPSLA2): 3454–3482, 2025.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Autoverus: Automated proof generation for rust code.Proceedings of the ACM on Programming Languages, 9(OOPSLA2): 3454–3482, 2025

Reference 11

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:22:28.356335Z digest=sha256:51932f9991b559433d33cd25cc0be3814abdc086e524133114f5acc54815d62f

Observation 3370a5cc-b72f-4e5f-9680-98cb6003083e · outbound

This paper cites VeruSAGE: A Study of Agent-Based Verification for Rust Systems.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation VeruSAGE: A Study of Agent-Based Verification for Rust Systems

Reference 12

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no resolver link, observed 2026-08-11T20:22:28.361239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:22:28.361239Z digest=sha256:10f476ada6146acac3ad70e2e7657175868c4e140ff0931a4e0df9b2d127123f

Observation 56efd3d9-a2dc-48b8-81a3-734fa844bf66 · outbound

This paper cites Exverus: Verus proof repair via counterexample reasoning.arXiv preprint arXiv:2603.25810, 2026.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Exverus: Verus proof repair via counterexample reasoning.arXiv preprint arXiv:2603.25810, 2026

Reference 13

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no resolver link, observed 2026-08-11T20:22:28.365743Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:22:28.365743Z digest=sha256:2e8713f14bb46299c15d8424ec6ccd0ef870aa9492aab30ff9a66e3b9c67d144

Observation 863d5191-5e5d-4156-bf1a-1ae35947e443 · outbound

This paper cites Dijkstra.A Discipline of Programming.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Dijkstra.A Discipline of Programming

Reference 14

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no resolver link, observed 2026-08-11T20:22:28.372028Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:22:28.372028Z digest=sha256:85205433fdf3adff1f8749e6132bd948eebe4202d136262bac57b99ea52bbd4f

Observation 74c6f477-bbeb-4501-abc7-b5562accd79c · outbound

This paper cites AlgoVeri: An Aligned Benchmark for Verified Code Generation on Classical Algorithms.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation AlgoVeri: An Aligned Benchmark for Verified Code Generation on Classical Algorithms

Reference 15

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no resolver link, observed 2026-08-11T20:22:28.377810Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:22:28.377810Z digest=sha256:3889fcc7c00cd3ec1e79654738a9bcb4f7bbbaf464e2e2eb97c338d7970d735d

Observation a26aa349-3d87-41d1-9f24-7975406ce977 · outbound

This paper cites Dafny: An automatic program verifier for functional correctness.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Dafny: An automatic program verifier for functional correctness

Reference 16

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verified fuzzy
raw_fallback, observed 2026-08-11T20:22:29.822514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.382518Z digest=sha256:a31a332598265223432fb7ee14dca2b1158d5511195eaa9fccd3c21602f806a8

Observation d91a3fc3-b416-472c-a8e6-b4e20179a220 · outbound

This paper cites Dependent types and multi-monadic effects in F ⋆.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Dependent types and multi-monadic effects in F ⋆

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:22:29.796507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.389484Z digest=sha256:0e799b210a5bcca8c3fbbcab6f3a220536dddc97f418318a3c7f012dfd9327e2

Observation 74d4232f-9eee-47a5-8e29-af3dbc70cccb · outbound

This paper cites Verus: Verifying rust programs using linear ghost types.Proceedings of the ACM on Programming Languages, 7(OOPSLA1):286–315, 2023.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Verus: Verifying rust programs using linear ghost types.Proceedings of the ACM on Programming Languages, 7(OOPSLA1):286–315, 2023

Reference 18

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source=pdf_text observed=2026-08-11T20:22:28.394590Z digest=sha256:c39108cf93e23044b434068e5a9e8a8a24292f8663bb4db9550c0e4bc76d3dac

Observation 8a9ee66e-92fe-440a-81fd-667e7b084751 · outbound

This paper cites Springer, 2004.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Springer, 2004

Reference 19

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verified fuzzy
raw_fallback, observed 2026-08-11T20:22:29.772180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.399749Z digest=sha256:701f9548c9ad9cc659405f9ff4b1006a21cd287d1fa243c46fed1e16ce431e62

Observation 9da88daa-00be-4748-9b84-ddccd7dd0b2b · outbound

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

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Paulson, and Markus Wenzel.Isabelle/HOL: A Proof Assistant for Higher-Order Logic, volume 2283 ofLecture Notes in Computer Science

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:22:29.758677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.406841Z digest=sha256:12722fee0edc6884f4b170fa162f5730eaa0edfc8d1b05181b23f57b31a11353

Observation 4acd2c2a-ac15-44a0-8f6a-c67fef409af1 · outbound

This paper cites Clever: A curated benchmark for formally verified code generation.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Clever: A curated benchmark for formally verified code generation

Reference 21

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verified fuzzy
raw_fallback, observed 2026-08-11T20:22:29.743450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.412145Z digest=sha256:49425cf9de7fdf1259f9e3cd48442e90462cdc48c89fb659800c1315ee064fcf

Observation 43cdd4e1-a553-4764-8a1a-4f72d4b57fbb · outbound

This paper cites Commit0: Library Generation from Scratch.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Commit0: Library Generation from Scratch

Reference 22

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:22:28.417400Z digest=sha256:37d25f307d17a0339883925ba2f6c86a3e9aaa8e72bf315b5d543a80bd92721e

Observation 5e5427b1-d5d0-4980-b4ca-d6c50e4389b4 · outbound

This paper cites On the interplay between consistency, completeness, and correctness in requirements evolution.Information and Software technology, 45(14):993–1009, 2003.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation On the interplay between consistency, completeness, and correctness in requirements evolution.Information and Software technology, 45(14):993–1009, 2003

Reference 23

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verified fuzzy
raw_fallback, observed 2026-08-11T20:22:29.724023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.421821Z digest=sha256:a8a4a6436687d8a19f85ab8bd3b4443ee4fcf38f723fd665b4b866a8934a4669

Observation 6e4fd83b-65f2-4b6d-b26b-0d563a622842 · outbound

This paper cites Empirical research on requirements quality: a systematic mapping study.Requirements Engineering, 27 (2):183–209, 2022.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Empirical research on requirements quality: a systematic mapping study.Requirements Engineering, 27 (2):183–209, 2022

Reference 24

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verified fuzzy
raw_fallback, observed 2026-08-11T20:22:29.701101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.426003Z digest=sha256:f1a6d8b363e66a85e2441b8bba15a6e1ca290df176d9beda12c96ffab1f894e5

Observation 3bd59508-e842-43db-a2fa-ec66ef567b61 · outbound

This paper cites Learning to disprove: For- mal counterexample generation with large language models.arXiv preprint arXiv:2603.19514, 2026.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Learning to disprove: For- mal counterexample generation with large language models.arXiv preprint arXiv:2603.19514, 2026

Reference 25

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verified exact
raw_fallback, observed 2026-08-11T20:22:28.976515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.431274Z digest=sha256:69fa422d020c3b325cd1db006f4665fac64278ed5022d3907d757ee64b461d4e

Observation def2d0a3-8ea1-4aea-8ca1-98486ef981da · outbound

This paper cites Lean LSP MCP: Tools for agentic interaction with the Lean theorem prover, 3.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Lean LSP MCP: Tools for agentic interaction with the Lean theorem prover, 3

Reference 26

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verified fuzzy
raw_fallback, observed 2026-08-11T20:22:29.685894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.436192Z digest=sha256:410804869f769a0d0f4cb6e4c0787a3565401b50c2bd03005425245f0228dec4

Observation 89e87bf6-0dc4-4dd8-9549-0730e5f1b140 · outbound

This paper cites Lean 4 Skills: Theorem proving skill and workflow pack for AI coding agents, October 2025.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Lean 4 Skills: Theorem proving skill and workflow pack for AI coding agents, October 2025

Reference 27

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verified fuzzy
raw_fallback, observed 2026-08-11T20:22:29.657584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.445790Z digest=sha256:24e8333bacc624854530da4b677fc0eba19a1dd88eb6d6047d4fd1cf7a4cfc93

Observation a5b044a9-fe06-4af1-ad70-f568812f36bb · outbound

This paper cites an unresolved cited work.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Unresolved cited work

Reference 28

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unresolved
raw_fallback, observed 2026-08-11T20:22:29.644417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.450046Z digest=sha256:2f26bab321f1d696f31500dbcf0321cf84ab9e7d27be60af321e2e7bbf39022d

Observation 13b6ca6f-fa2e-4a1f-9bfb-d1d9a0edbed6 · outbound

This paper cites Re:Form -- Reducing Human Annotations in Scalable Formal Software Verification with RL in LLMs: A Preliminary Study on Dafny.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Re:Form -- Reducing Human Annotations in Scalable Formal Software Verification with RL in LLMs: A Preliminary Study on Dafny

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-11T20:22:28.454252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:22:28.454252Z digest=sha256:eca8a36982e15a509275f893ad71a9075aeb7d172da9593283686497486e7299

Observation 356692d9-8567-454e-98aa-7409741f255b · outbound

This paper cites Rabe, Talia Ringer, and Yuriy Brun.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Rabe, Talia Ringer, and Yuriy Brun

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:22:29.629521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.459048Z digest=sha256:54f29ac195ac6ea5fa9767d036e272a6db28fd8ef7ee6510cad28d4e40f14ce5

Observation d4021dba-38fd-4fab-8819-8426bb20d7bc · outbound

This paper cites An in-context learning agent for formal theorem-proving.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation An in-context learning agent for formal theorem-proving

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:22:29.614680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.463872Z digest=sha256:9eb13ae8b132720e02b85146d5f92dcdf2c15285c89903ffaa80374d940706fe

Observation 1e56213c-afef-40af-b15b-38978d37f70a · outbound

This paper cites Planning to Hammer: Difficulty-Aware Decomposition for Automating Rocq Proofs.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Planning to Hammer: Difficulty-Aware Decomposition for Automating Rocq Proofs

Reference 32

Resolution
verified exact
local_arxiv, observed 2026-08-11T20:22:28.867863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.468009Z digest=sha256:4d4c585c2f46e531c61836347ddb1b4a4d8a91978d2a5b3dc486cb0f448ff21d

Observation d5e9c17f-8ae8-4bae-806f-66d1ada380a6 · outbound

This paper cites Neuro-symbolic proof generation for scaling systems software verification.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Neuro-symbolic proof generation for scaling systems software verification

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:22:29.600702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.473103Z digest=sha256:70fff72c08db0fbcbaec93866094fc260c3728bc5c6fba0b631105f57867c67a

Observation 839ff797-107b-4eaa-ae2c-4541e08566b5 · outbound

This paper cites Jiang, Jia Deng, Stella Biderman, and Sean Welleck.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Jiang, Jia Deng, Stella Biderman, and Sean Welleck

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:22:29.587111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.481031Z digest=sha256:52c6c55afe0a0ef8c995bd9624388b00bf543178cab57f8f0e8d6c7788f7cfe6

Observation 448b34f7-19e3-49da-996e-cbf9d03ba1c4 · outbound

This paper cites DeepSeek-Prover: Advancing Theorem Proving in LLMs through Large-Scale Synthetic Data.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation DeepSeek-Prover: Advancing Theorem Proving in LLMs through Large-Scale Synthetic Data

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-11T20:22:28.485328Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:22:28.485328Z digest=sha256:152b31128cb11e4b9aca02bf7e274402b8835bc28bb00ee5844f29fcb0a5d5f4

Observation 3f4bc104-173a-436b-9299-9826afb2723a · outbound

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

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation DeepSeek-Prover-V2: Advancing Formal Mathematical Reasoning via Reinforcement Learning for Subgoal Decomposition

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-11T20:22:28.489952Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:22:28.489952Z digest=sha256:5377011a308e98ff76e3ba05e3d24bfbe62a770ab998ca04659c017569cc3fc3

Observation 2e207cd3-0cab-4799-a145-34b566f5b4f9 · outbound

This paper cites Horváth, Goran Žuži´c, Erin Wieser, Anian Huang, Julian Schrittwieser, et al.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Horváth, Goran Žuži´c, Erin Wieser, Anian Huang, Julian Schrittwieser, et al

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-11T20:22:28.494510Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:22:28.494510Z digest=sha256:80a7d1a9f5171a5b73ac714fc16b917ee6070a3a84138fcea3a08cbb36df6e56

Observation 89b18ca7-c59b-4b3a-983f-be68d6fefb23 · outbound

This paper cites an unresolved cited work.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-11T20:22:29.570569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.498585Z digest=sha256:7641c51ac3f09bf747c918e27892bbf86c20d710f3dbd1936ff9209ba5aa17c7

Observation edd0c166-ed38-4407-acaf-ab403074908e · outbound

This paper cites an unresolved cited work.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Unresolved cited work

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-11T20:22:28.502757Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:22:28.502757Z digest=sha256:28b818b1852a6012a0312242e21717b4881e02c3b3de192d105188dcf9a93c74

Observation f44ed49f-cc3d-45d0-99c8-7829a04b4d35 · outbound

This paper cites Texts and Monographs in Computer Science.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Texts and Monographs in Computer Science

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:22:29.541870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.507391Z digest=sha256:9ca3b35535d15c608f66be4f4af6f73bf45fef989178b19ea86c813075a7866f

Observation f9894dab-dd33-4f5c-b147-f61abf4bd087 · outbound

This paper cites Program synthesis from polymor- phic refinement types.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Program synthesis from polymor- phic refinement types

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:22:29.524740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.511577Z digest=sha256:a236b6ca8e1ca1d8c443980a0d47606d8bf00f419b571e7ba5b493574d9566bc

Observation 782fb905-7b51-4b7c-b394-f630617688fb · outbound

This paper cites Self-planning code generation with large language models.ACM Transactions on Software Engineering and Methodology, 2024.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Self-planning code generation with large language models.ACM Transactions on Software Engineering and Methodology, 2024

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:22:29.510453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.516256Z digest=sha256:bae160bb9ed2471ae825d4b24de16e1d7d61cc14fc796a05e46ed56147bedaee

Observation e47ca8c1-5b83-4dbd-820a-06bfd0b5faaa · outbound

This paper cites Plan-and-solve prompting: Improving zero-shot chain-of-thought reasoning by large language models.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Plan-and-solve prompting: Improving zero-shot chain-of-thought reasoning by large language models

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:22:29.491735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.520761Z digest=sha256:b82eb5721809bb97b2c88d06bdf3bf14379c03c78226262a7ff486916857ef5b

Observation e4d57e42-eaaa-4354-8ac5-6142b6d60b80 · outbound

This paper cites A benchmark for vericoding: Formally verified program synthesis.arXiv preprint arXiv:2509.22908, 2025.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation A benchmark for vericoding: Formally verified program synthesis.arXiv preprint arXiv:2509.22908, 2025

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-11T20:22:28.524417Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:22:28.524417Z digest=sha256:13383ad351f9ba4048b1987b77f55d1a4a90198c644308e18b8654ee49c6685d

Observation 6e72f3b5-41eb-4095-be92-200b2a3c5eb2 · outbound

This paper cites DafnyBench: A Benchmark for Formal Software Verification.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation DafnyBench: A Benchmark for Formal Software Verification

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-11T20:22:28.527645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:22:28.527645Z digest=sha256:7ea36c4edac04c5ac8466c52b31b5401fa9195664168c930f6962b10c761a753

Observation e9ea9683-667b-4132-b9e6-3f04f8faf9b6 · outbound

This paper cites Z3: An efficient smt solver.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Z3: An efficient smt solver

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-11T20:22:28.531845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:22:28.531845Z digest=sha256:d5b56ea13ac54d3f789854726bf318c331909d8087b34302032c530a57d4e227

Observation 8a4715ca-644a-4124-b28f-e1d98a8c980a · outbound

This paper cites cvc5: A versatile and industrial-strength smt solver.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation cvc5: A versatile and industrial-strength smt solver

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:22:29.467254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.537916Z digest=sha256:7b422ecac13da6ff4b930e718dbe574626ed86d090a09ad3496cd5b3cca36b98

Observation 18811e00-1316-49e5-aca1-2bf047184300 · outbound

This paper cites - Exit: every sorry enumerated; instruction source located or confirmed absent.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation - Exit: every sorry enumerated; instruction source located or confirmed absent

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:22:29.453917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.542742Z digest=sha256:847af8f9f6e8393279997ec471a259f5565c66b562f7c9c884ea86eef74fc7f1

Observation 3ac0c8c0-aaee-4997-a000-9942bdc7c741 · outbound

This paper cites - Exit: plan file exists on disk; all required sections present; any locked-algorithm instruction is restated verbatim under `## Restated contract`.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation - Exit: plan file exists on disk; all required sections present; any locked-algorithm instruction is restated verbatim under `## Restated contract`

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:22:29.441339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.546482Z digest=sha256:0c039b3fbd989a10b8b44bc8cee6f8d8f0544698518e0d2d66b84eec54b42143

Observation 028df8e3-b7de-4f57-8ff1-19023589bf0e · outbound

This paper cites - Exit: verdict is PASS-PLAN.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation - Exit: verdict is PASS-PLAN

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:22:29.425917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.550483Z digest=sha256:97fd62bd323a83902b5944793c5e16ea384c3f1a7d630f104c9fe590009040ab

Observation 7e9368d1-a285-47a4-b806-ebe61b528e12 · outbound

This paper cites `decreasing_by sorry`may stay (or be omitted if Lean auto-derives).

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation `decreasing_by sorry`may stay (or be omitted if Lean auto-derives)

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:22:29.409340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.555894Z digest=sha256:7d5edc58c9f6c3c3b553697146a8fb35f3adddfb851de167e2d6640c41fa4d13

Observation 5ec7e4c5-f1d3-4988-9356-a93734ed06b3 · outbound

This paper cites - Exit: no errors and no in-scope sorries.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation - Exit: no errors and no in-scope sorries

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:22:29.391100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.560540Z digest=sha256:60969a216d77898a663b970f586bf439324b2b9f715766a246d46a3a69c0144d

Observation 3de03fb8-f177-4a63-9df2-60d517eb7c53 · outbound

This paper cites - Exit:`lean-verifier-mechanical`returns PASS-MECHANICAL and `lean-verifier-instruction`returns PASS-INSTRUCTION; act on each verdict's Action: line otherwise.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation - Exit:`lean-verifier-mechanical`returns PASS-MECHANICAL and `lean-verifier-instruction`returns PASS-INSTRUCTION; act on each verdict's Action: line otherwise

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:22:29.375393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.566159Z digest=sha256:1ffe3638b9407603724dbbc395d1b9065b0d03824027ad634eb42af704462dbe

Observation dc2a31aa-f3e2-4cf7-bbc5-1612b41a17ee · outbound

This paper cites Runs sorry scan, compile check, axiom check.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Runs sorry scan, compile check, axiom check

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:22:29.362135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.570237Z digest=sha256:dcdbbbe89868e8c172a7b155b8100062d00540d2431823c34e0bcb929d49b37c

Observation 8b57c6a9-c26b-441e-a4e0-0bd4a9da288a · outbound

This paper cites Reads the @start code.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Reads the @start code

Reference 56

Resolution
malformed identifier
raw_fallback, observed 2026-08-11T20:22:29.348606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.574618Z digest=sha256:e6aac3fcf98c99c5e545be2a4a809af3731354f204a1bcdce7bccd24cded2c98

Observation 5dd138c2-4640-49ee-a46b-979bb79b8bd1 · outbound

This paper cites an unresolved cited work.

P$^{3}$: Joint Program-and-Proof Planning for Verified Code Generation Unresolved cited work

Reference 2025

Resolution
unresolved
raw_fallback, observed 2026-08-11T20:22:29.671667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T20:22:28.440831Z digest=sha256:d019e8fce04138c10040a344aa1f2d618d311b15174d5e0d62c63b904b38475d

Pith citing papers

No inbound Pith citation observations are available.