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Paper Citation Record · LEDGER

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes

As of 9 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2509.01912.

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

pith.paper-citation-record.v1
2509.01912 v2

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:15:44.187245Z

measured 30 of 30 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

30 of 30 outbound references displayed

  • verified exact2
  • verified fuzzy23
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d6df4e89-7b2e-4525-97bc-431460f0319d · outbound

This paper cites A fast quantum mechanical algorithm for database search,.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes A fast quantum mechanical algorithm for database search,

Reference 1

Resolution
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no resolver link, observed 2026-08-05T12:15:42.206574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation c47de463-6b90-4a9c-b738-39bccb0c7259 · outbound

This paper cites Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer,.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer,

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-05T12:15:42.256185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:15:42.256185Z digest=sha256:4170526bed24b2a862a6dc169e0d81eec5a8a24301a4c868c0639187369f7496

Observation 8bf001d1-a501-4534-a088-5045a0139a5a · outbound

This paper cites Quantum algorithm for linear systems of equations,.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes Quantum algorithm for linear systems of equations,

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-05T12:15:42.346489Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:15:42.346489Z digest=sha256:9c405ac90f1b90c858f4c98e257fc386c4811184ca0576fd1587a257c139f344

Observation 82f6a29a-f876-4004-820b-64689d3c21f4 · outbound

This paper cites On the power of quantum computation,.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes On the power of quantum computation,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:15:48.219591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:15:42.392063Z digest=sha256:4e2c1186775705769d09870e9b47a395c7a6cf6e1d9d689d807db0e92170bde1

Observation a4f2bb03-d4b4-4b32-a02b-7cc3559bf323 · outbound

This paper cites 6-qubit optimal clifford circuits,.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes 6-qubit optimal clifford circuits,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:15:48.078615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:15:42.462179Z digest=sha256:38314904fb649cfc72247dafc3d0a728e48dadd1d9099a7f6967bb003a67ebdd

Observation 485f1ca3-a85b-4017-ac9d-d9485b369543 · outbound

This paper cites Quantum boolean functions.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes Quantum boolean functions

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-05T12:15:44.450613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:15:42.525948Z digest=sha256:1aadfe4e52906bf78d7b396115b02695b0c90ed24a7e47e57d685204daccd69f

Observation a0224fa3-d613-4c3f-8170-cc8d960a092a · outbound

This paper cites Esop-based toffoli gate cascade generation,.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes Esop-based toffoli gate cascade generation,

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:15:47.969961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:15:42.653941Z digest=sha256:8bc095a2c4d4bb1a8c9bd66bab0aec9629835555704aaf964aef6e7d46dd820a

Observation e9dfd517-8d12-4919-89a9-5d6349aaaccf · outbound

This paper cites Xor-and-inverter graphs for quantum compilation,.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes Xor-and-inverter graphs for quantum compilation,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:15:47.706152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:15:42.725106Z digest=sha256:2b8cf736a7f5648dba092ac3162844aa55b358960f5b511c009addd99ce1b53c

Observation 98e00306-b7fb-4f75-b68a-f4f74cf2f1bf · outbound

This paper cites XOR-AND-XOR logic forms for autosymmetric functions and applica- tions to quantum computing,.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes XOR-AND-XOR logic forms for autosymmetric functions and applica- tions to quantum computing,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:15:47.568962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:15:42.790862Z digest=sha256:ec388711b87082f0de5a72248214b38a4e87c730d463ce467ae44a10374235b2

Observation 4ea86d58-ea03-493b-b3e5-ab1c366b58da · outbound

This paper cites Shallow Quantum Circuit Implementation of Symmetric Functions with Limited Ancillary Qubits.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes Shallow Quantum Circuit Implementation of Symmetric Functions with Limited Ancillary Qubits

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-05T12:15:44.321266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:15:42.847553Z digest=sha256:4056bf186f31b78d772bdb6e0a0c6ce372d86b9c634894b976c746406bd99933

Observation 4d591d6f-d0ad-4ae2-9af7-4ea4163f9bb3 · outbound

This paper cites Optimal synthesis of linear reversible circuits.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes Optimal synthesis of linear reversible circuits

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:15:47.350555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:15:42.916008Z digest=sha256:4d700a5ffd305e17b06fc7a52f617f3cfe9b273e0b70f05dd5c53419b7c97abc

Observation b3a345d5-d63c-492e-be78-13598612277a · outbound

This paper cites Con- structive reversible logic synthesis for boolean functions with special properties,.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes Con- structive reversible logic synthesis for boolean functions with special properties,

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:15:47.157850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:15:43.015497Z digest=sha256:c5ff670f6ce81e9359346e51b61143d365598bb9408cae5207762826aeb2e4b7

Observation 2c8d8c36-648b-4a86-8a84-b3f505d38ff3 · outbound

This paper cites Transport implementation of the bernstein–vazirani algorithm with ion qubits,.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes Transport implementation of the bernstein–vazirani algorithm with ion qubits,

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:15:46.962731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:15:43.078430Z digest=sha256:21e9f930582e60a891cddcd8875805b20d7860758d9683c2886791587d067b3c

Observation 78ea8cb6-dd42-4c78-a2be-79d02978a66d · outbound

This paper cites Demonstration of a small programmable quantum computer with atomic qubits,.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes Demonstration of a small programmable quantum computer with atomic qubits,

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:15:46.753901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:15:43.144535Z digest=sha256:8fd1026c1196dcf4f6852f973a005bca61df563af50df20fc42e6ecf58da2428

Observation bc54b7bc-d4f4-4dbe-b8fd-60a70739d6bf · outbound

This paper cites Multilevel logic synthesis,.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes Multilevel logic synthesis,

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:15:46.466927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:15:43.244366Z digest=sha256:1b156c370ec4f2c8802b096cfb153ff7d23ff64e22ffc8ff700009d96b6ca757

Observation dc5c9da1-56db-455d-b8ac-ca3214df515e · outbound

This paper cites Determinants and the volumes of paral- lelotopes and zonotopes,.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes Determinants and the volumes of paral- lelotopes and zonotopes,

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:15:46.261180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:15:43.311370Z digest=sha256:f1e0bf398ea7786016508f978cb0e124d39f947b9a7305e3038c577ae560157e

Observation 9bece00e-405f-4329-856a-a4923a64ef8b · outbound

This paper cites Fast exact npn classification with influence-aided canonical form,.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes Fast exact npn classification with influence-aided canonical form,

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:15:45.983352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:15:43.350840Z digest=sha256:d5dcec68d11dbe1d2036c195e31bf1cc581467cb3cf48d13fac483c0c3fa41c4

Observation 8f1b5621-0c6d-44aa-bcdb-d544dda3a002 · outbound

This paper cites A heuristic boolean npn equivalent matching verification method based on shannon decom- position,.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes A heuristic boolean npn equivalent matching verification method based on shannon decom- position,

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:15:45.891204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:15:43.421389Z digest=sha256:689f1e7550496c18e11d77ac53d54b9e135a40ed61f464d81c7c6a3f774dd6be

Observation 3ae0677f-23fc-4751-bf5c-c5062a149b44 · outbound

This paper cites Rethinking npn classification from face and point characteristics of boolean functions,.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes Rethinking npn classification from face and point characteristics of boolean functions,

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:15:45.755002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:15:43.505184Z digest=sha256:be9bd913e6e32eb9c649fbdfcb480237897cf705a7b326b8bf83530b30f27bd9

Observation e5776c7d-c0a3-42fd-92fe-16fc95b2662b · outbound

This paper cites Exact quantum algorithms have advantage for almost all boolean functions,.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes Exact quantum algorithms have advantage for almost all boolean functions,

Reference 20

Resolution
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raw_fallback, observed 2026-08-05T12:15:45.645305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:15:43.571494Z digest=sha256:589e7a3a38939e0a3f51e569d9f669b400ae934cb59199a36b55f5a828b8ee32

Observation f602b15c-34dd-42bf-8e9d-d564e4291636 · outbound

This paper cites an unresolved cited work.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes Unresolved cited work

Reference 21

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unresolved
no resolver link, observed 2026-08-05T12:15:43.617159Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:15:43.617159Z digest=sha256:cf3dfba5707e34e0427b9e99cc14f0eaa77df39ed85d65d3771b4e94988e6786

Observation b252d7fc-5278-45c0-bdaa-9c7597431474 · outbound

This paper cites Elementary quantum gate realizations for multiple-control toffoli gates,.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes Elementary quantum gate realizations for multiple-control toffoli gates,

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:15:45.518994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:15:43.684090Z digest=sha256:813d2029fe6f7f88e6d84226ebda6a391af89083a4f4613ce6b6f31447cdda04

Observation 81d975d5-7194-459c-9741-1d8a40533ded · outbound

This paper cites Two-bit gates are universal for quantum computa- tion,.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes Two-bit gates are universal for quantum computa- tion,

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:15:45.390807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:15:43.778748Z digest=sha256:861aa951ad33ee72883008f43e10d34ee001f028c1228716ae87005edbaca823

Observation e6b853ff-fff4-4ea5-9e86-f3fbea2016c3 · outbound

This paper cites Elementary gates for quantum computation,.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes Elementary gates for quantum computation,

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-05T12:15:43.847097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:15:43.847097Z digest=sha256:cad5d89d170467d5250af14a7821cd7b17b1d43282f50ed8a5e7d6920c5fd4b8

Observation 6987cdcc-f4c2-4d4f-abc9-d4546aab69c3 · outbound

This paper cites Quantum-state preparation with universal gate decompositions,.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes Quantum-state preparation with universal gate decompositions,

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:15:45.272209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:15:43.886824Z digest=sha256:dff82e0fa98cc21b765d118196d89c2b6eb22f42bc9bd0e379a06fb0415e71fa

Observation b40bd544-a13a-4d0d-b25c-e64ec68ff3bb · outbound

This paper cites Gottesman, Stabilizer codes and quantum error correction.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes Gottesman, Stabilizer codes and quantum error correction

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:15:45.145218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:15:43.960516Z digest=sha256:c1123cd6108feebd93b569b3318d916df95c80a9cb167893c46caad0197516ae

Observation cfc980c5-0add-4071-95a5-38cb8fa738dd · outbound

This paper cites On the sum of a parallelotope and a zonotope,.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes On the sum of a parallelotope and a zonotope,

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:15:44.989561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:15:44.020789Z digest=sha256:21ee15ddc40dbdabe7620c5597fb4a5023aabb4914962c9417cc8e15520ffe24

Observation 40744a66-d78a-4e16-86a0-9c1f88e85f13 · outbound

This paper cites Gurobi optimizer reference manual.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes Gurobi optimizer reference manual

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:15:44.871026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:15:44.071191Z digest=sha256:e8d13127862cb58846d3645b4e6650658c40799e4ee18f52a95770cb7fa7eeb3

Observation 4fe1b186-b662-4a45-a48f-45e4899a47e2 · outbound

This paper cites Riener, “easy,” https://github.com/hriener/easy, 2024, version MIT-1- ov-file.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes Riener, “easy,” https://github.com/hriener/easy, 2024, version MIT-1- ov-file

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:15:44.710710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:15:44.132389Z digest=sha256:7c048c28605b9f06d5ffbca44042454912c4c2fc8e1974517ac6748da6018bfb

Observation f756bcf6-15ff-42ce-9629-8ad8ecb36331 · outbound

This paper cites The role of multiplicative complexity in compiling low t-count oracle circuits,.

CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes The role of multiplicative complexity in compiling low t-count oracle circuits,

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:15:44.600738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T12:15:44.187245Z digest=sha256:ce5854d66b801c9c1251c883bc6c49d698244f7a1f513ac8e2d972644b9915bb

Pith citing papers

No inbound Pith citation observations are available.