Paper Citation Record · LEDGER

Complex Bounded Operators in Isabelle/HOL

As of 21 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2512.05878.

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

pith.paper-citation-record.v1
2512.05878 v2

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T18:21:24.978470Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

40 of 40 outbound references displayed

verified exact1
verified fuzzy0
unresolved38
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 249792ed-c90f-4f24-bec5-16c2775fde07 · outbound

This paper cites an unresolved cited work.

Complex Bounded Operators in Isabelle/HOL Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:22.242879Z

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Unavailable: canonical work link unavailable.

Observation 54e18a7e-b596-4b0f-b68b-e0016413d9b5 · outbound

This paper cites Quantum Security Proofs Using Semi- classical Oracles.

Complex Bounded Operators in Isabelle/HOL Quantum Security Proofs Using Semi- classical Oracles

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:21.099702Z

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Observation c250568f-0822-47c7-b064-141d041895d6 · outbound

This paper cites Contributed with Isabelle distri- bution,https : / / isabelle.

Complex Bounded Operators in Isabelle/HOL Contributed with Isabelle distri- bution,https : / / isabelle

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:21.140438Z

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Observation 55c41689-f850-4539-afb6-b9a354dce02d · outbound

This paper cites The logic of quantum mechanics.

Complex Bounded Operators in Isabelle/HOL The logic of quantum mechanics

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:21.194624Z

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Observation 505680c9-7cb5-4306-ba32-db5ea85cace2 · outbound

This paper cites Con- tributed with Isabelle distribution,https : / / isabelle.

Complex Bounded Operators in Isabelle/HOL Con- tributed with Isabelle distribution,https : / / isabelle

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:21.267934Z

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Unavailable: canonical work link unavailable.

Observation ec324b36-7728-426a-b65e-ffe4eb15fd33 · outbound

This paper cites Contributed with Isabelle distribution,https://isabelle.

Complex Bounded Operators in Isabelle/HOL Contributed with Isabelle distribution,https://isabelle

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:21.329310Z

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Observation abd36c8c-c689-459e-a2c8-b2b23419630b · outbound

This paper cites Complex Bounded Operators.

Complex Bounded Operators in Isabelle/HOL Complex Bounded Operators

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:21.416342Z

Source-reported events for the cited work

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Observation bbf22293-73f6-4299-86ed-e4f422b1ad08 · outbound

This paper cites an unresolved cited work.

Complex Bounded Operators in Isabelle/HOL Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:21.499354Z

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Unavailable: canonical work link unavailable.

Observation a7dfd755-f4fe-4284-9f8a-412b7bfe6598 · outbound

This paper cites Repository of formalizations in Isabelle [15], organized as a journal, ISSN: 2150-914x.

Complex Bounded Operators in Isabelle/HOL Repository of formalizations in Isabelle [15], organized as a journal, ISSN: 2150-914x

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:21.583398Z

Source-reported events for the cited work

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Observation 67841849-e894-4dd8-9a41-87b207e3f967 · outbound

This paper cites Model checking quantum Markov chains.

Complex Bounded Operators in Isabelle/HOL Model checking quantum Markov chains

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:21.668426Z

Source-reported events for the cited work

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Observation c13b0bd1-6454-4e4e-8e61-d0793ff5a1c8 · outbound

This paper cites Contributed with Isabelle distri- bution,https : / / isabelle.

Complex Bounded Operators in Isabelle/HOL Contributed with Isabelle distri- bution,https : / / isabelle

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:21.725551Z

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Observation 0d1c507d-9cb2-42a2-b5f9-c0d59d88f15b · outbound

This paper cites Contributed with Isabelle distri- bution,https : / / isabelle.

Complex Bounded Operators in Isabelle/HOL Contributed with Isabelle distri- bution,https : / / isabelle

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:21.774976Z

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Observation a5910fba-9585-4249-9eb0-36e452324f8c · outbound

This paper cites Formalizing the One-Way to Hiding Theorem.

Complex Bounded Operators in Isabelle/HOL Formalizing the One-Way to Hiding Theorem

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:21.832311Z

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Observation 38c457cf-b467-4c30-89a7-6a6598bc55c6 · outbound

This paper cites Lifting and Transfer: A Modular Design for Quotients in Isabelle/HOL.

Complex Bounded Operators in Isabelle/HOL Lifting and Transfer: A Modular Design for Quotients in Isabelle/HOL

Reference 14

Resolution: verified exact; doi, observed 2026-08-03T18:23:25.195857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation eb0a61be-fa70-487e-8760-9b69e4e435cb · outbound

This paper cites an unresolved cited work.

Complex Bounded Operators in Isabelle/HOL Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:21.942233Z

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Observation ab5eea1a-7c06-4185-ba0c-7408e3438f0e · outbound

This paper cites TheOnewaytoHidingTheorem.

Complex Bounded Operators in Isabelle/HOL TheOnewaytoHidingTheorem

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:22.007275Z

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Observation d58d9cd0-252d-4120-ab80-1e7f0d879996 · outbound

This paper cites Termination of nondeterministic quantum pro- grams.

Complex Bounded Operators in Isabelle/HOL Termination of nondeterministic quantum pro- grams

Reference 19

Resolution: malformed identifier; doi_truncated, observed 2026-08-03T18:23:25.019460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 78ba4c0c-c291-49fa-bcca-1ef07892d3f1 · outbound

This paper cites Formal Verification of Quantum Algorithms Using Quantum Hoare Logic.

Complex Bounded Operators in Isabelle/HOL Formal Verification of Quantum Algorithms Using Quantum Hoare Logic

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:22.160487Z

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Observation 94c65da5-0019-4843-b0ef-f2924c6e7393 · outbound

This paper cites Contributed with Isabelle distribution, https : / / isabelle.

Complex Bounded Operators in Isabelle/HOL Contributed with Isabelle distribution, https : / / isabelle

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:22.306783Z

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Observation e152f52f-5ce8-4ce7-bab9-a430ed164788 · outbound

This paper cites Runtime Analysis of Quantum Programs: A Formal Approach.

Complex Bounded Operators in Isabelle/HOL Runtime Analysis of Quantum Programs: A Formal Approach

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:22.374052Z

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Observation c86f711f-10f5-4ed0-8837-94a0a063511a · outbound

This paper cites Quantum Programming.

Complex Bounded Operators in Isabelle/HOL Quantum Programming

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:22.519856Z

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Unavailable: canonical work link unavailable.

Observation 78c502c5-5c9c-4f4d-965b-5993fdb19b0f · outbound

This paper cites Formalizing Jordan normal forms in Isabelle/HOL.

Complex Bounded Operators in Isabelle/HOL Formalizing Jordan normal forms in Isabelle/HOL

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:22.626604Z

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Observation 043aa2cd-8a1b-4ea8-a885-d97d9eaced12 · outbound

This paper cites Matrices, Jordan Normal Forms, and Spectral Radius Theory.

Complex Bounded Operators in Isabelle/HOL Matrices, Jordan Normal Forms, and Spectral Radius Theory

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:22.766493Z

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Observation 9444be98-8634-469f-9351-3acabe484022 · outbound

This paper cites an unresolved cited work.

Complex Bounded Operators in Isabelle/HOL Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:22.884553Z

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Observation 19d2abae-03d0-48b9-8dea-c2ceaa2513a2 · outbound

This paper cites Kraus Maps.

Complex Bounded Operators in Isabelle/HOL Kraus Maps

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:23.048290Z

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Observation 0165b8a1-675d-4105-a1c4-caade20f5080 · outbound

This paper cites Quantum and Classical Registers.

Complex Bounded Operators in Isabelle/HOL Quantum and Classical Registers

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:23.147983Z

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Observation 10547353-eef0-4f7e-a84f-e4b882d0300b · outbound

This paper cites Quantum references.

Complex Bounded Operators in Isabelle/HOL Quantum references

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:23.259718Z

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Observation c6dfd3a8-de8f-4059-9c7c-7cbc6f424f89 · outbound

This paper cites Quantum Relational Hoare Logic.

Complex Bounded Operators in Isabelle/HOL Quantum Relational Hoare Logic

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:23.372433Z

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Unavailable: canonical work link unavailable.

Observation 83969966-8ea7-4d8a-a2af-1eff1377fd51 · outbound

This paper cites The Tensor Product on Hilbert Spaces.

Complex Bounded Operators in Isabelle/HOL The Tensor Product on Hilbert Spaces

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:23.480203Z

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Observation bc8599e5-d787-41c7-b18f-80e434ae236a · outbound

This paper cites Banach-Steinhaus Theorem.

Complex Bounded Operators in Isabelle/HOL Banach-Steinhaus Theorem

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:23.585949Z

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Unavailable: canonical work link unavailable.

Observation 77e0184c-c38d-4f29-b1f2-8411efec894c · outbound

This paper cites Contributed with Isabelle distribution,https://isabelle.in.

Complex Bounded Operators in Isabelle/HOL Contributed with Isabelle distribution,https://isabelle.in

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:23.711575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 103eaebd-5bec-4a11-88a0-40f9f3dc82a2 · outbound

This paper cites Contributed with Isabelle distribution, https : / / isabelle.

Complex Bounded Operators in Isabelle/HOL Contributed with Isabelle distribution, https : / / isabelle

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:23.865433Z

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Observation 5ade9086-ce6a-422b-829c-8acf25e771a7 · outbound

This paper cites Mathematics Stack Exchange,https://math.

Complex Bounded Operators in Isabelle/HOL Mathematics Stack Exchange,https://math

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:23.997780Z

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Unavailable: canonical work link unavailable.

Observation 14969451-3ed6-4ecf-9cda-873fcdc30492 · outbound

This paper cites Floyd–Hoare Logic for Quantum Programs.

Complex Bounded Operators in Isabelle/HOL Floyd–Hoare Logic for Quantum Programs

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:24.110743Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7f8050c5-750f-4629-b2ea-3368e5763207 · outbound

This paper cites Predicate transformer semantics of quantum programs.

Complex Bounded Operators in Isabelle/HOL Predicate transformer semantics of quantum programs

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:24.202861Z

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Observation 172cbcfa-a7d5-403f-b0d2-936910b065a2 · outbound

This paper cites Invariants of quantum programs: characteri- sations and generation.

Complex Bounded Operators in Isabelle/HOL Invariants of quantum programs: characteri- sations and generation

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:24.328485Z

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Unavailable: canonical work link unavailable.

Observation 518d13c0-629e-4716-9ef4-5a062ddba572 · outbound

This paper cites Quantum Temporal Logic.

Complex Bounded Operators in Isabelle/HOL Quantum Temporal Logic

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:24.413782Z

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Unavailable: canonical work link unavailable.

Observation 8ea93a10-194b-4716-85a3-75285714863c · outbound

This paper cites Quantum temporal logic and reachability problems of matrix semigroups.

Complex Bounded Operators in Isabelle/HOL Quantum temporal logic and reachability problems of matrix semigroups

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:24.606902Z

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Observation cec4c37e-1896-4677-a2d8-d9d8283022be · outbound

This paper cites A Quantum Interpretation of Bunched Logic for Quantum Separation Logic.

Complex Bounded Operators in Isabelle/HOL A Quantum Interpretation of Bunched Logic for Quantum Separation Logic

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:24.751890Z

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Observation 646afb03-2c9e-430b-a8ac-5809fd42c872 · outbound

This paper cites An applied quantum Hoare logic.

Complex Bounded Operators in Isabelle/HOL An applied quantum Hoare logic

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-03T18:21:24.978470Z

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Pith citing papers

No inbound Pith citation observations are available.