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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 9 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 2026-08-09T06:31:02.800959+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
  • unresolved23
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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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no resolver link, observed 2026-07-31T02:42:14.669691Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.669691Z digest=sha256:80cb972ecaa12aeeeb73c96a6759c7f2a4380ec57a31dc2962ae1c90bf6ed494

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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.673843Z digest=sha256:7a66e4b1a6f06815f5c20d67557bf48a2552035780103bab7a3ee4cbeb72182c

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:b79f6ed34184e94bdb096bf7a2063dd09396cf237738ba51c4eab6026b6d4de4

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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no resolver link, observed 2026-07-31T02:42:14.680711Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.680711Z digest=sha256:f674cbca8fdbdb9e819e99072c3c5887c75bfb7c93b46868ce1805e94922ff8b

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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.684551Z digest=sha256:b1b6ddf8c4c4f84c90a327c555423fff314ef2475a81b666f5383632fe6b1f6f

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:be02883c02e9ee58290430a8a4b7fec8230038c920252708275940741044bffe

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:c2a2c7742f2280cb3a1720b337d33d450f78da780e788f3261f7a0d29a96cf85

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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no resolver link, observed 2026-07-31T02:42:14.694342Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.694342Z digest=sha256:189feaf04672645a3d73e1ca40d311743518728ccd12acc97a9608ec8f98a9b8

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.697134Z digest=sha256:a3a7408121ba38ae3542fa39f63efe3a3a2a6b06213e442786c47c949db8175e

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=sha256:23f9102639242c9c92e4fae9a92a6393c3faea01bede13edc86cab819680203e

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.702907Z digest=sha256:d0934f437569189ef306ac92f910635ed91666dc4179bb52174e1917e0a353e7

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:c5ffb4cfa327b90319212a80c7e1fb802ff1b77d3a7a6cf7432f5aa10755e7da

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=sha256:7a05a9f40df31cf1f74e035bdb43eb3b6cff72ffa1dc5fff521b62f8d22113c4

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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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=sha256:4f7c690d1734474bf599eaa290513f5a5905ec923d40c7f568565bcc4fdc725b

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.714249Z digest=sha256:bbdecb077529e19a22fc21d800d90868a07cefd5bb42b200e89252f03510134a

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.716976Z digest=sha256:c5449c5559c3718123ad4c79bfd8815a01f39c2d1af443c2c762398ca1b3bba6

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=sha256:34908e5b905612e3924affa12ce829c6526b96a2f820d51ed65a9e3d0ad44437

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:c525f6964fa4bf1d5e9a12a1b1216b28f75a2dc963ddf3be2610686183d5c621

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.725087Z digest=sha256:df3669ddf753ca9bba2555cae11054967fec9dccc047321f2183234ccc81ece9

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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.727918Z digest=sha256:2c63eb21bdd0938e46282bea4e9a15afcfa21ab72f9e343d804453ce4951d24b

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:cbd633b3f507d0acfd31cdec271bd0e55100d26a12edf9bc15e65aa40ec166fd

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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.733550Z digest=sha256:ac47577f7e3aeaac6bf6e30640f1dee4eb9af8421ee958214759fafdc79eaafd

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.736309Z digest=sha256:95a754baa2104389df79cd7804240a30c00ed78a0d6044dbb4824be1daf46f92

Pith citing papers

No inbound Pith citation observations are available.