Paper Citation Record · LEDGER

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256

As of 20 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2607.14082.

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

pith.paper-citation-record.v1
2607.14082 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T02:52:48.363343Z

measured 34 of 34 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.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

34 of 34 outbound references displayed

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External citation measurements

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Outbound references

Observation ffb8d5b4-c051-429f-a6f3-301f244e7a9a · outbound

This paper cites an unresolved cited work.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:43.923878Z

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Unavailable: canonical work link unavailable.

Observation bf26792c-c358-4a65-9ddc-06307d3d7026 · outbound

This paper cites Quantum computing: Lecture notes, 2019.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 Quantum computing: Lecture notes, 2019

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:43.975576Z

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Observation acd08374-3da4-48c4-a0a1-c241a43540fb · outbound

This paper cites Quantum algorithms: An overview.npj Quantum Information, 2(1):15023, 2016.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 Quantum algorithms: An overview.npj Quantum Information, 2(1):15023, 2016

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:44.121740Z

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Observation b6e29be6-6d73-44b6-a16b-3a500bb80ceb · outbound

This paper cites Lecture notes on quantum algorithms for scientific computation, 2022.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 Lecture notes on quantum algorithms for scientific computation, 2022

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:44.265886Z

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Observation c25231ad-e41c-431b-82cd-7c6154f43187 · outbound

This paper cites an unresolved cited work.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:44.352823Z

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Observation b423f52b-a417-4dbd-bb9f-fb5bad266686 · outbound

This paper cites Rivest, Adi Shamir, and Leonard Adleman.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 Rivest, Adi Shamir, and Leonard Adleman

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:44.533984Z

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Observation 18166914-ce5f-4e90-a396-b550b65fe9ee · outbound

This paper cites Svore, and Kristin Lauter.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 Svore, and Kristin Lauter

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:44.577107Z

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Observation 4a426316-7b47-4334-b26e-36c3741828f6 · outbound

This paper cites Recommendations for discrete logarithm-based cryptography: Elliptic curve domain parameters.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 Recommendations for discrete logarithm-based cryptography: Elliptic curve domain parameters

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:44.729007Z

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Observation 06d27d45-c502-4cf7-9364-4d77eff54095 · outbound

This paper cites Quantum factoring, discrete logarithms, and the hidden subgroup problem.Computing in Science & Engineering, 3(2):34–43, 2001.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 Quantum factoring, discrete logarithms, and the hidden subgroup problem.Computing in Science & Engineering, 3(2):34–43, 2001

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:44.853024Z

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Observation dd04aa0b-6202-4893-ab19-75fe5070679e · outbound

This paper cites Childs and Wim van Dam.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 Childs and Wim van Dam

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:44.990471Z

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Observation 57deca84-f92e-41b8-a8e4-2c229e905483 · outbound

This paper cites An auto- mated deductive verification framework for circuit-building quantum programs.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 An auto- mated deductive verification framework for circuit-building quantum programs

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:45.129027Z

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Observation c606a3a8-ff8d-4e8e-8cbe-d956c5d20bc6 · outbound

This paper cites Quantum hoare logic with classical variables.ACM Transactions on Quantum Computing, 2(4):16:1–16:43, December 2021.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 Quantum hoare logic with classical variables.ACM Transactions on Quantum Computing, 2(4):16:1–16:43, December 2021

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:45.303066Z

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Observation 4a4a8e79-2e3e-42cd-a99b-e1eca249da04 · outbound

This paper cites Qafny: A quantum-program verifier.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 Qafny: A quantum-program verifier

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:45.415495Z

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Observation ddbc3152-fffd-4eeb-aceb-f90aab2efc1a · outbound

This paper cites A formally certified end-to-end implementation of shor’s factorization algorithm.Proceedings of the National Academy of Sciences, 120(21):e2218775120, May 2023.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 A formally certified end-to-end implementation of shor’s factorization algorithm.Proceedings of the National Academy of Sciences, 120(21):e2218775120, May 2023

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:45.474953Z

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Observation 2d586273-cb4f-4a05-9020-ef9c6add8ef7 · outbound

This paper cites The Lean mathematical library.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 The Lean mathematical library

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:45.555944Z

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Observation 2579d77e-eb71-48c5-9835-c2ff44a656d8 · outbound

This paper cites CSLib: The Lean computer science library, 2026.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 CSLib: The Lean computer science library, 2026

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:45.649972Z

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Observation 0532f2e1-07b9-42ba-85ee-407d1f1c6e16 · outbound

This paper cites Lean-QIT: Towards a formal infrastructure for quantum information theory, 2026.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 Lean-QIT: Towards a formal infrastructure for quantum information theory, 2026

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:45.803941Z

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Observation 8c5683a1-c38a-46a1-a891-0d06a09a95ff · outbound

This paper cites Swope, Alex Gu, Rahul Chalamala, Peiyang Song, Shixing Yu, Saad Godil, Ryan J.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 Swope, Alex Gu, Rahul Chalamala, Peiyang Song, Shixing Yu, Saad Godil, Ryan J

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:45.949790Z

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Observation bf31976f-24a5-4098-86b1-f5ba974cef71 · outbound

This paper cites Quantum algorithms for computing short discrete logarithms and factoring RSA integers.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 Quantum algorithms for computing short discrete logarithms and factoring RSA integers

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:46.122892Z

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Observation e4aac06e-b057-4792-9edc-4c81628c9aeb · outbound

This paper cites An agentic formalization for certified quantum neural network design, 2026.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 An agentic formalization for certified quantum neural network design, 2026

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:46.192790Z

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Observation 4640ce8e-cf9a-4bd9-908b-e0313dc869d7 · outbound

This paper cites How to factor 2048 bit RSA integers in 8 hours using 20 million noisy qubits.Quantum, 5:433, 2021.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 How to factor 2048 bit RSA integers in 8 hours using 20 million noisy qubits.Quantum, 5:433, 2021

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:46.347401Z

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Observation cdcc3e35-f931-4014-bf99-d48812d76db6 · outbound

This paper cites Shor’s discrete logarithm quantum algorithm for elliptic curves, 2004.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 Shor’s discrete logarithm quantum algorithm for elliptic curves, 2004

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:46.448363Z

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Observation 8c732666-9f12-413c-947a-9dfcd92e3bd7 · outbound

This paper cites Floyd–hoare logic for quantum programs.ACM Transactions on Programming Languages and Systems, 33(6):19:1–19:49, 2011.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 Floyd–hoare logic for quantum programs.ACM Transactions on Programming Languages and Systems, 33(6):19:1–19:49, 2011

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:46.592106Z

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Observation 91525230-2af1-4324-b4e1-25ef60639cdc · outbound

This paper cites A practical quantum hoare logic with classical variables, I.Information and Computation, 309:105417, 2026.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 A practical quantum hoare logic with classical variables, I.Information and Computation, 309:105417, 2026

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:46.706202Z

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Observation c99a6803-5735-4e9d-ad37-a672dc7c0053 · outbound

This paper cites The Coq proof assistant (8.20), 2024.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 The Coq proof assistant (8.20), 2024

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:46.908557Z

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Observation a3d6481f-a4cc-4e11-935d-ff11e0a6bd02 · outbound

This paper cites CoqQ: Foundational verification of quantum programs.Proceedings of the ACM on Programming Languages, 7(POPL):833– 865, 2023.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 CoqQ: Foundational verification of quantum programs.Proceedings of the ACM on Programming Languages, 7(POPL):833– 865, 2023

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:47.087978Z

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Observation 4328cf13-31d3-48df-b86e-975811aff726 · outbound

This paper cites Quantum algorithms revisited.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 Quantum algorithms revisited

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:47.236253Z

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Observation f5c6077e-243f-41ab-8a23-7a9b342ec17f · outbound

This paper cites Nielsen and Isaac L.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 Nielsen and Isaac L

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:47.421973Z

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Observation e4c6b9b1-55cd-4143-9871-bce9dd5b1144 · outbound

This paper cites Quantum networks for elementary arithmetic operations.Physical Review A, 54(1):147–153, 1996.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 Quantum networks for elementary arithmetic operations.Physical Review A, 54(1):147–153, 1996

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:47.603767Z

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Observation d24c3e62-f7da-4aa2-a5f4-b140353c0b88 · outbound

This paper cites How to factor 2048 bit RSA integers with less than a million noisy qubits.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 How to factor 2048 bit RSA integers with less than a million noisy qubits

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:47.716767Z

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Observation b93c7ebb-2223-413e-9821-e9bd2f41a1a8 · outbound

This paper cites The Pinnacle Architecture: Reducing the cost of breaking RSA-2048 to 100 000 physical qubits using quantum LDPC codes.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 The Pinnacle Architecture: Reducing the cost of breaking RSA-2048 to 100 000 physical qubits using quantum LDPC codes

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:47.853037Z

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Observation 429fafdb-85ab-4cd4-ab02-bbb1140f5e3e · outbound

This paper cites Shor's algorithm is possible with as few as 10,000 reconfigurable atomic qubits.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 Shor's algorithm is possible with as few as 10,000 reconfigurable atomic qubits

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:48.056524Z

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Observation 44823161-b23a-463f-a1ac-583f1fddd8e2 · outbound

This paper cites Improved quantum circuits for elliptic curve discrete logarithms.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 Improved quantum circuits for elliptic curve discrete logarithms

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:48.224716Z

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Observation 2261c965-aa31-40b6-91a0-7deac5474b75 · outbound

This paper cites Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:48.363343Z

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Pith citing papers

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