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Paper Citation Record · LEDGER

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates

As of 19 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2607.28598.

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

pith.paper-citation-record.v1
2607.28598 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-31T02:42:14.736309Z

measured 23 of 23 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

23 of 23 outbound references displayed

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  • verified fuzzy0
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7913aba0-2429-4618-9a06-f446273684c9 · outbound

This paper cites A Quantum Complexity Lowerbound from Differential Geometry.

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates A Quantum Complexity Lowerbound from Differential Geometry

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.669691Z digest=sha256:751dcaa1550994b250e9352e378b1035a347fe3cddb4845c0aca9572748c4716

Observation fc6bfa6b-89d3-433d-8a6d-ea4cdc5a8fd3 · outbound

This paper cites Universality in long-distance geometry and quantum complexity.

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates Universality in long-distance geometry and quantum complexity

Reference 2

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.673843Z digest=sha256:283869fc9bae0f69c57f3a37e8f94ce697d727d0ca092b5fc551269cd06906ab

Observation 25d93544-1752-471a-b2f6-7ffc9a821e6b · outbound

This paper cites an unresolved cited work.

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates Unresolved cited work

Reference 3

Resolution
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no resolver link, observed 2026-07-31T02:42:14.677648Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.677648Z digest=sha256:d118e11587ab3fae1bf394d7a396978fca8ed3e2ce0d28545864ae5488fd2894

Observation 5a4b8da3-cdc1-41bb-8344-20f473b4ffdb · outbound

This paper cites The Solovay-Kitaev algorithm.

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates The Solovay-Kitaev algorithm

Reference 4

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.680711Z digest=sha256:4808366fa26197ee20753dae086d255b5ef538ec82300facaf965d9a98489a7e

Observation 28bb597d-80d1-462c-be2c-7a8c38dd294a · outbound

This paper cites an unresolved cited work.

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates Unresolved cited work

Reference 5

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no resolver link, observed 2026-07-31T02:42:14.684551Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.684551Z digest=sha256:7a13d9a5b9394f56ff494541b8df88f2501c2e6f0cc9d47132a59aef6fd827bb

Observation f7f83dd8-2140-4499-9c13-b9e8a7e0af00 · outbound

This paper cites Lower bounds for the CNOT-complexity of linear reversible operators.

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates Lower bounds for the CNOT-complexity of linear reversible operators

Reference 6

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.688000Z digest=sha256:4eb643d0714e72eb5962a8d4a0935222048ba24b571590abc26bf2acec17bd2b

Observation fde3fa40-490a-4aef-91d8-43f45c5bedd1 · outbound

This paper cites an unresolved cited work.

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates Unresolved cited work

Reference 7

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.691324Z digest=sha256:7a187ab1995b164618f7d0dafe1854afce4a907200fe75f70bdf2dadad266573

Observation c0ba4aa9-d79a-45fb-9030-9bca9d328ad3 · outbound

This paper cites Nielsen,A Geometric Approach to Quantum Circuit Lower Bounds,Quantum Infor- mation & Computation, vol.

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates Nielsen,A Geometric Approach to Quantum Circuit Lower Bounds,Quantum Infor- mation & Computation, vol

Reference 8

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.694342Z digest=sha256:88fe85c95c71f2a00702da0d4a13a3ca78458fab41f22a753e8c0a6c54dd89ec

Observation 60f44bd7-a132-46ff-9c7f-80f8c59ad976 · outbound

This paper cites Nielsen and I.

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates Nielsen and I

Reference 9

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no resolver link, observed 2026-07-31T02:42:14.697134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.697134Z digest=sha256:585a7028e23ce7cec96c3894f95c43d4d7c31912303e3f441f963688d3ef27a7

Observation 0997c767-0218-47d8-850e-f84f6152ce20 · outbound

This paper cites Quantum Computation as Geometry.

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates Quantum Computation as Geometry

Reference 10

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.699954Z digest=sha256:5dae4ac31dbbd6a9ad8c3f3d265972be7203272b1c458df0041a57715a0ad6fa

Observation cec670d2-8b25-4809-b6c1-9e533edabc6b · outbound

This paper cites an unresolved cited work.

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates Unresolved cited work

Reference 11

Resolution
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no resolver link, observed 2026-07-31T02:42:14.702907Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.702907Z digest=sha256:0288cb0961a088379e28b7a1b1a71b5b3f538707f05e10746fcc93ec3c541346

Observation 3da681c8-7182-4c22-a98a-43ab517a90d7 · outbound

This paper cites an unresolved cited work.

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-07-31T02:42:14.705650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.705650Z digest=sha256:3b1828fe16c9eb5c410cce754921723e9e55b52be7473ad56cdc09cd0963de9c

Observation 778be610-7c85-4d3d-9140-ab1d608a1713 · outbound

This paper cites The Complexity of Quantum States and Transformations: From Quantum Money to Black Holes.

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates The Complexity of Quantum States and Transformations: From Quantum Money to Black Holes

Reference 13

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no resolver link, observed 2026-07-31T02:42:14.708415Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.708415Z digest=sha256:9f7aa538bbbf950fc8bc61738a8dea215e935857cae908464f0358e56b4ceb76

Observation 4cf40147-8ab4-4c6e-9440-fb14b77c9d18 · outbound

This paper cites Andr´ en, L.

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates Andr´ en, L

Reference 14

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unresolved
no resolver link, observed 2026-07-31T02:42:14.711561Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.711561Z digest=sha256:d8f3d671834d3727b2379f9afccc1bd921acf338e2649daf6346d159181fd8bd

Observation 73188976-470a-4f76-9c62-f2a8d739af6a · outbound

This paper cites Gowers,Rough Structure and Classification,79-117, GAF A Special Volume, Vision in Mathematics, 2000.

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates Gowers,Rough Structure and Classification,79-117, GAF A Special Volume, Vision in Mathematics, 2000

Reference 15

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no resolver link, observed 2026-07-31T02:42:14.714249Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.714249Z digest=sha256:4e238812ce7f352c359eae2299e276bad86d0a3a3c2eeef9ed42301e50a62a88

Observation 878d7890-b6e7-420f-86ce-d8b10fce5239 · outbound

This paper cites Gowers,A conversation about complexity lower bounds,Gowers’ webblog, 2009.

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates Gowers,A conversation about complexity lower bounds,Gowers’ webblog, 2009

Reference 16

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no resolver link, observed 2026-07-31T02:42:14.716976Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.716976Z digest=sha256:a2bf9fa3886f391459d40834078c66b28d7bbd985d1b0ae63c496ce99dde9b23

Observation 09874fee-fe6e-4d37-ab65-d61bcd17aef1 · outbound

This paper cites an unresolved cited work.

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates Unresolved cited work

Reference 17

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no resolver link, observed 2026-07-31T02:42:14.719711Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.719711Z digest=sha256:18d08260f5cfdc638ff959f88513c2e87a3ec1d800d611582780a0395041d465

Observation 90582091-4b4b-46dd-abd2-847a06f342cc · outbound

This paper cites an unresolved cited work.

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates Unresolved cited work

Reference 18

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no resolver link, observed 2026-07-31T02:42:14.722447Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.722447Z digest=sha256:1a706b46f11351cbed5dae3100846947f6e79e9064f88e9d604965087a188629

Observation 0c460dbd-92fd-438a-b9ba-b43c4bbadc41 · outbound

This paper cites Yu,Quantum Complexity of Permutations,575-595, Pure and Applied Mathematics Quarterly, Volume 19, Number 2, 2023.

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates Yu,Quantum Complexity of Permutations,575-595, Pure and Applied Mathematics Quarterly, Volume 19, Number 2, 2023

Reference 19

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no resolver link, observed 2026-07-31T02:42:14.725087Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.725087Z digest=sha256:85bd7f49a1311fd75fef8dc0bebbac8ad27fd3f6bf126d0a34c5e6d3d0902f45

Observation 667d8e5d-0c20-4533-8c95-da1ff2263e8b · outbound

This paper cites an unresolved cited work.

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates Unresolved cited work

Reference 20

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unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.727918Z digest=sha256:f449a104e20825fab25fe1a8364362890aba303623c463eb4b290cc25f3a027f

Observation 95eb46fd-4d4c-454b-a3b0-1d1591c9cfb5 · outbound

This paper cites Bataille,Quantum circuits of CNOT gates: Optimization and entanglement,Quantum Information Processing, 21(7):269, 2022.

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates Bataille,Quantum circuits of CNOT gates: Optimization and entanglement,Quantum Information Processing, 21(7):269, 2022

Reference 21

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.730596Z digest=sha256:9f4aa8ed9837f9476c0312bf73eea833be68c7c83ef3537f563ba37712069f9f

Observation 1e6f84f6-4dba-497c-bad5-8bde7a17ea13 · outbound

This paper cites an unresolved cited work.

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates Unresolved cited work

Reference 22

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.733550Z digest=sha256:86c70b1618965027023ee2f17219a575457cffd78fbd1e975d756c3559220614

Observation c444e8c2-235d-473f-81ca-8111a838d639 · outbound

This paper cites Shoup,New Algorithms for Finding Irreducible Polynomials over Finite Fields,Math- ematics of Computation, 54 (189), 435–447, 1990.

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates Shoup,New Algorithms for Finding Irreducible Polynomials over Finite Fields,Math- ematics of Computation, 54 (189), 435–447, 1990

Reference 23

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no resolver link, observed 2026-07-31T02:42:14.736309Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.736309Z digest=sha256:01880116477825a24c1c1b6a54b1ceb2efb32218a3c2538962dc494d0cd0564f

Pith citing papers

No inbound Pith citation observations are available.