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Paper Citation Record · LEDGER

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

As of 17 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 2026-08-16T06:30:59.297886+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
unresolved
no resolver link, observed 2026-08-05T12:15:42.206574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:15:42.206574Z digest=sha256:0cd4091b6f8a3b88c4724fa5ab0b577c3f68d263711f10e4797c1ae26c9f4b93

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=sha256:63ec147ab4afdd634972822b1a6646709c7c9c7dda0282c79667ec27d0dbd911

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:c7146cdc566fe70432ace9c94584572af009369152d32f5bbe41880d742ead4d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T12:15:42.392063Z digest=sha256:2eb043f300b68032c51024c51e9123b90590e62997ddf56fa57978a7bd04c5aa

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T12:15:42.462179Z digest=sha256:325bf8420e9730ac783779d1c558de6ab0dd91d8f833ebc12c41cfb152bc50c8

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T12:15:42.525948Z digest=sha256:7588e0e07dde547c97d9f7974f193058222a2e6f5e6f70a2effbd38abe076faa

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T12:15:42.653941Z digest=sha256:2d8594ac7ae30da63387d6077dd77efc4adac4b7946a073f3b7bf60ae51b2427

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T12:15:42.725106Z digest=sha256:01f11a33100544c33f63d9b90a200a39557909d179f7e27257659122ce058b8d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T12:15:42.790862Z digest=sha256:db3572e3d18263d707cc472e10c1f691e296c2e1c33efde92df1d3d6770fb608

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T12:15:42.847553Z digest=sha256:d2875f178adb43bef265a81bbff52c6a973ec182934d25f9eae5b90d5feb014b

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T12:15:42.916008Z digest=sha256:19c4188b6ac805b660cb0a58d6da018e2b95c3adfb1a79c490a57968db7ed86d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T12:15:43.015497Z digest=sha256:144125aa545602d8e5a4345f67350f5c1f6dfbe8f7c8830236f86827eff77125

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T12:15:43.078430Z digest=sha256:c757fae02f2b63214c8b08d3fbd828688990bb9fbd6a36651ab202d9731e7598

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T12:15:43.144535Z digest=sha256:dc2141c118cd5e24b94bb82e81d784aae7fa3dbb264a90c4ef6d4f324f8cc5d7

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T12:15:43.244366Z digest=sha256:0595144b2056404277d69b3c37bec95be09b847dc773dc41f2f5c0cca1ac92fa

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T12:15:43.311370Z digest=sha256:5c11f53cba43a56e9c074f1678ba821114a77db279a927b66e4deb28ec2dfc14

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T12:15:43.350840Z digest=sha256:aaac202b738fc26d2a8a37293fcc068e154de1679afd56b9db4610530136565d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T12:15:43.421389Z digest=sha256:281efa40a139ae20eaa68dc8e16fbfb61723a7660a9bc2f23e6238a264c641c3

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T12:15:43.505184Z digest=sha256:4cfcd63fde3d2d523b22834e33421436ea9a99d066caa3cc6567cf2ea43c3e12

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

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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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T12:15:43.571494Z digest=sha256:23e95125570451e8634caeb2cc39fd5990047c54dc49060bbfcf82171146fba5

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=sha256:8396b06ccf36d6f188700b4772b7ab7cb7f3c0d2b8d8bece99ce2580512b3ddc

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T12:15:43.684090Z digest=sha256:cd63eb7949b7e8e8c6864ad8cc464db9c9ad539cd644ecc3150a3aa0a5a94c19

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T12:15:43.778748Z digest=sha256:b609ea46785e825f86af04ab803a8b5637bbbf0fc4387d9e40d6a0aed0e2b28c

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=sha256:663ed626afa19fb50f26a6615f7f8d6e03a66e6cbd754d0af11c005f4bbaa32c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T12:15:43.886824Z digest=sha256:4b4392ada124d0298e745bcdab4ec326bd627b9cfe527eb25c03b57ca313fa0b

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T12:15:43.960516Z digest=sha256:d8d743d570583bf9d5e6ea9d6b7c099baae1a4d0e32f93f4f50cfbe92acfabaf

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T12:15:44.020789Z digest=sha256:8d06d72859da39d9a0ebf37745b27accd0e7d1379c2995188b5c447c40deb099

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T12:15:44.071191Z digest=sha256:4957238107dfa2235bd11ec18bab55f4ec383045653757ba76b3525b8b7d1e12

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T12:15:44.132389Z digest=sha256:2762768d5579f82366dec18cd4100a8c7e6d1cfce3189c00b1c95ba5d2d80ac5

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T12:15:44.187245Z digest=sha256:66c870e57a0774b9122ae2dc355df690b5967cc7f8a4ff99d32dc8e2f97b3ce0

Pith citing papers

No inbound Pith citation observations are available.