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Paper Citation Record · LEDGER

Quantum Arithmetic Circuits in Public-Key Cryptography

As of 19 August 2026, this Paper Citation Record lists 100 of 121 outbound references and 0 inbound Pith citation observations for arXiv:2607.11713.

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

pith.paper-citation-record.v1
2607.11713 v1

Coverage vector

measured 100 of 121 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-14T03:41:44.573679Z

measured 100 of 100 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

100 of 121 outbound references displayed

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Outbound references

Observation 9c8893c4-3086-4f6f-9232-a83244417f54 · outbound

This paper cites Nature 614(7949), 676–681 (2023).

Quantum Arithmetic Circuits in Public-Key Cryptography Nature 614(7949), 676–681 (2023)

Reference 1

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Observation 0d9186b5-885d-49c7-806c-18c18fc86f0e · outbound

This paper cites Nature638(8052), 920–926 (2025).

Quantum Arithmetic Circuits in Public-Key Cryptography Nature638(8052), 920–926 (2025)

Reference 2

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Observation 29c0b995-4fed-4702-8fe4-c3747752b640 · outbound

This paper cites Efficient quantum circuits for binary elliptic curve arithmetic: reducing T-gate complexity.

Quantum Arithmetic Circuits in Public-Key Cryptography Efficient quantum circuits for binary elliptic curve arithmetic: reducing T-gate complexity

Reference 3

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Observation 0d3bb498-1eb5-40eb-b6ac-ce14c6b1f1fb · outbound

This paper cites In: International Conference on Selected Areas in Cryptography.

Quantum Arithmetic Circuits in Public-Key Cryptography In: International Conference on Selected Areas in Cryptography

Reference 4

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Observation 044a144a-1398-40db-a464-fbc5c93d9168 · outbound

This paper cites Microprocessors and Microsystems51, 366–385 (2017).

Quantum Arithmetic Circuits in Public-Key Cryptography Microprocessors and Microsystems51, 366–385 (2017)

Reference 5

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Observation 454163e4-213a-41ea-8507-b961166949c4 · outbound

This paper cites Cryptology ePrint Archive (2020).

Quantum Arithmetic Circuits in Public-Key Cryptography Cryptology ePrint Archive (2020)

Reference 6

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Observation efd4ddc3-319a-4f4a-a674-45edee528e2c · outbound

This paper cites Physical Review A54(2), 1034 (1996).

Quantum Arithmetic Circuits in Public-Key Cryptography Physical Review A54(2), 1034 (1996)

Reference 7

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Observation ffad0d69-2f83-4da1-b5ad-cecff6c39ebd · outbound

This paper cites Ibm Journal of Research and Development17, 525–532 (1973),https://api.semanticscholar.org/ CorpusID:14641793.

Quantum Arithmetic Circuits in Public-Key Cryptography Ibm Journal of Research and Development17, 525–532 (1973),https://api.semanticscholar.org/ CorpusID:14641793

Reference 8

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Observation a9c27c2f-c5ba-4ef7-a1d5-03d4be48e0a2 · outbound

This paper cites Cryptology ePrint Archive, Paper 2025/1832 (2025), https://eprint.iacr.org/2025/1832.

Quantum Arithmetic Circuits in Public-Key Cryptography Cryptology ePrint Archive, Paper 2025/1832 (2025), https://eprint.iacr.org/2025/1832

Reference 9

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Observation c96315f4-2aa7-4513-b272-e1bbb60d4aed · outbound

This paper cites an unresolved cited work.

Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work

Reference 10

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:4085fb4992fe2fec2ecead254786d17778c517058fc3fe4a3c8cc8539209bc22

Observation f3d87be2-e5cc-47da-acc6-776a1f31f3b0 · outbound

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Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work

Reference 11

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Observation 3d5f99ca-0f78-43ae-8f88-eb98d17cf01e · outbound

This paper cites Physical Review A86(5) (Nov 2012).https://doi.org/10.1103/physreva.86.052329,http:// dx.doi.org/10.1103/PhysRevA.86.052329.

Quantum Arithmetic Circuits in Public-Key Cryptography Physical Review A86(5) (Nov 2012).https://doi.org/10.1103/physreva.86.052329,http:// dx.doi.org/10.1103/PhysRevA.86.052329

Reference 12

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Observation efc89deb-35a7-4858-bf5d-9119c8053612 · outbound

This paper cites Physical Review A—Atomic, Molecular, and Optical Physics 71(2), 022316 (2005).

Quantum Arithmetic Circuits in Public-Key Cryptography Physical Review A—Atomic, Molecular, and Optical Physics 71(2), 022316 (2005)

Reference 13

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Observation 5bceb7a5-44de-4187-9ba9-9604de441fb3 · outbound

This paper cites Nature 584(7821), 368–372 (2020).

Quantum Arithmetic Circuits in Public-Key Cryptography Nature 584(7821), 368–372 (2020)

Reference 14

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Observation 57cee745-014e-420c-9a3f-84c29aec6466 · outbound

This paper cites Electronics Let- ters38(22), 1343–1344 (2002).

Quantum Arithmetic Circuits in Public-Key Cryptography Electronics Let- ters38(22), 1343–1344 (2002)

Reference 15

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Observation 54fa1ec7-4841-4840-99dd-cd733436d05b · outbound

This paper cites Transactions of the American Mathematical Society142, 291–314 (1969).

Quantum Arithmetic Circuits in Public-Key Cryptography Transactions of the American Mathematical Society142, 291–314 (1969)

Reference 16

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Observation 9f4c690f-8e62-4efa-92b4-957c27649a1f · outbound

This paper cites Physical Review A100(3), 032328 (2019).

Quantum Arithmetic Circuits in Public-Key Cryptography Physical Review A100(3), 032328 (2019)

Reference 17

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Observation 9df3b463-c865-457a-9d22-47c6e62b62ec · outbound

This paper cites an unresolved cited work.

Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work

Reference 18

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Observation 662213c3-b9a4-4a50-8131-bfe5f8b61507 · outbound

This paper cites In: Proceedings of the SC ’23 Workshops of The International Confer- ence on High Performance Computing, Network, Storage, and Analysis.

Quantum Arithmetic Circuits in Public-Key Cryptography In: Proceedings of the SC ’23 Workshops of The International Confer- ence on High Performance Computing, Network, Storage, and Analysis

Reference 19

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Observation c63f3872-eaf2-4e7b-9fec-9aa20dfa0b80 · outbound

This paper cites In: 2019 32nd International Conference on VLSI Design and 2019 18th International Conference on Embedded Systems (VLSID).

Quantum Arithmetic Circuits in Public-Key Cryptography In: 2019 32nd International Conference on VLSI Design and 2019 18th International Conference on Embedded Systems (VLSID)

Reference 20

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:17f8b1c47c96ac10fa4f1c26c8279ab1bc0c412f14131047102575e11a115108

Observation 707ce916-9683-4957-bdff-6c0b741a10d9 · outbound

This paper cites IEEE Transactions on Quantum Engineering 1, 1–13 (2020).

Quantum Arithmetic Circuits in Public-Key Cryptography IEEE Transactions on Quantum Engineering 1, 1–13 (2020)

Reference 21

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Observation b069fc4e-2295-4b61-8ef7-1b032d1fbd0a · outbound

This paper cites Quantum Information and Computation6(07 2004).https: //doi.org/10.26421/QIC6.4-5-4.

Quantum Arithmetic Circuits in Public-Key Cryptography Quantum Information and Computation6(07 2004).https: //doi.org/10.26421/QIC6.4-5-4

Reference 22

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:fc13b2e3cf10922fc129b23cb6187b43ca8cb3d565a0eb10021f35626c6654fe

Observation 39950cfc-4d63-4f30-a03c-fb08c104bc04 · outbound

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Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work

Reference 23

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Observation 4ffcd35f-7bbd-4b3a-9acc-86182cc135bb · outbound

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Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work

Reference 24

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:6b7361abc356c263565cd70f82933502483ca8a039bcf0d040606c07ece33ed0

Observation b1fb1e29-12b6-442f-872d-39694dca50c4 · outbound

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Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work

Reference 25

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Observation 6a4eb58c-ad86-45a4-9b2f-0269f0736ea7 · outbound

This paper cites Nature566(7745), 513–517 (2019).

Quantum Arithmetic Circuits in Public-Key Cryptography Nature566(7745), 513–517 (2019)

Reference 26

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Observation 929335aa-5d69-4715-b94f-794384647c6c · outbound

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Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work

Reference 27

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Observation ce045c7c-fd53-4fd4-abeb-e4f58314e3cb · outbound

This paper cites In: Journal of Physics: Conference Series.

Quantum Arithmetic Circuits in Public-Key Cryptography In: Journal of Physics: Conference Series

Reference 28

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Observation f00f32b7-7586-4f77-99b0-0cddea270af3 · outbound

This paper cites Electronics10(6), 703 (2021).

Quantum Arithmetic Circuits in Public-Key Cryptography Electronics10(6), 703 (2021)

Reference 29

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Observation f8ecb087-afb6-4554-a6c5-20e746063e03 · outbound

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Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work

Reference 30

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:cbce432e9cf4ffb4bd563e4eb4cc572b27d9838b7ecc7072585b9c5437c7e8b6

Observation fdf0b789-24a8-454b-a804-3296fd117cee · outbound

This paper cites Quantum2, 74 (Jun 2018).https://doi.org/10.22331/q-2018-06-18-74,https://doi.org/ 10.22331/q-2018-06-18-74.

Quantum Arithmetic Circuits in Public-Key Cryptography Quantum2, 74 (Jun 2018).https://doi.org/10.22331/q-2018-06-18-74,https://doi.org/ 10.22331/q-2018-06-18-74

Reference 31

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Observation e910800d-e7d5-4058-a53f-d9bea4504b0a · outbound

This paper cites Approximate encoded permutations and piecewise quantum adders.

Quantum Arithmetic Circuits in Public-Key Cryptography Approximate encoded permutations and piecewise quantum adders

Reference 32

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Observation 6affd49c-81c5-48b5-85b5-2033f3b2f040 · outbound

This paper cites Asymptotically Efficient Quantum Karatsuba Multiplication.

Quantum Arithmetic Circuits in Public-Key Cryptography Asymptotically Efficient Quantum Karatsuba Multiplication

Reference 33

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Observation 49710ddb-808a-46f3-aa47-d9ed7cedc5f7 · outbound

This paper cites Windowed quantum arithmetic.

Quantum Arithmetic Circuits in Public-Key Cryptography Windowed quantum arithmetic

Reference 34

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:a761024a161e1a449fba0a5e07005de2136b367d165bf9c64520018d0c471d03

Observation afed5a5d-eeec-4b36-9ca5-490520899458 · outbound

This paper cites A Classical-Quantum Adder with Constant Workspace and Linear Gates.

Quantum Arithmetic Circuits in Public-Key Cryptography A Classical-Quantum Adder with Constant Workspace and Linear Gates

Reference 35

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:681455470b0b1c9a833e1ea0aaa99a4de3dd78c2e7a7e203df4a74fbcb66467c

Observation 4de29045-e6fd-4c42-9f5d-f794acf6a5e7 · outbound

This paper cites How to factor 2048 bit RSA integers with less than a million noisy qubits.

Quantum Arithmetic Circuits in Public-Key Cryptography How to factor 2048 bit RSA integers with less than a million noisy qubits

Reference 36

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Observation 74a4c409-0a97-4bea-96b1-df1dbbf23d1e · outbound

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Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work

Reference 37

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Observation 715b0dc7-4d97-4edb-b420-d9757e1d3fa9 · outbound

This paper cites Quantum5, 433 (2021).

Quantum Arithmetic Circuits in Public-Key Cryptography Quantum5, 433 (2021)

Reference 38

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Observation 9fae512b-1d94-4030-91e8-7ede8bdae4a1 · outbound

This paper cites an unresolved cited work.

Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work

Reference 39

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Observation 69f128a6-43fe-4a91-af7f-a458a00573ef · outbound

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Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work

Reference 40

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Observation b2fe9606-7932-4a20-af08-ea54d0563170 · outbound

This paper cites an unresolved cited work.

Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work

Reference 41

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:034fd230bf939c733888a21361ace73554643bd151370c13cc6cd598290e8786

Observation 8165e5a4-1704-4b2a-8d00-302185d18f1f · outbound

This paper cites In: Pro- ceedings of the twenty-eighth annual ACM symposium on Theory of computing.

Quantum Arithmetic Circuits in Public-Key Cryptography In: Pro- ceedings of the twenty-eighth annual ACM symposium on Theory of computing

Reference 42

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Observation 11edfa84-1f00-410f-8293-1926b90ce713 · outbound

This paper cites arXiv preprint arXiv:2510.23212 (2025).

Quantum Arithmetic Circuits in Public-Key Cryptography arXiv preprint arXiv:2510.23212 (2025)

Reference 43

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:a20efee42eef573008fa79e837d7983b90da916a342a6fcd267025f856ce80f5

Observation 5e8dfcd9-a2e2-4840-a798-368c0f1dcb5a · outbound

This paper cites In: International conference on post- quantum cryptography.

Quantum Arithmetic Circuits in Public-Key Cryptography In: International conference on post- quantum cryptography

Reference 44

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Observation 6cf05f06-1f44-4234-b974-8d2bc923c258 · outbound

This paper cites Factoring using 2n+2 qubits with Toffoli based modular multiplication.

Quantum Arithmetic Circuits in Public-Key Cryptography Factoring using 2n+2 qubits with Toffoli based modular multiplication

Reference 45

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:cef1f3fe0a9f28c48f7088c07ba67acaf945727f08788075c932e9aadc94f6f0

Observation 548ebc02-eff0-41fb-a7af-d24416f4b7a9 · outbound

This paper cites Optimizing Quantum Circuits for Arithmetic.

Quantum Arithmetic Circuits in Public-Key Cryptography Optimizing Quantum Circuits for Arithmetic

Reference 46

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:c66f1bb0cd9816ab6e69c918fc44796996817a713e99d1468d153db7b218a40f

Observation abd0c513-5d0e-43de-a2f5-413c6b56e920 · outbound

This paper cites Expressing and Analyzing Quantum Algorithms with Qualtran.

Quantum Arithmetic Circuits in Public-Key Cryptography Expressing and Analyzing Quantum Algorithms with Qualtran

Reference 47

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:7cf74b34ae387dd49cc70ab2c1830859c72de341aad169b6b65c569d5b621d19

Observation e9cedcf2-585d-47a6-9f47-7faa1c6352b1 · outbound

This paper cites Computer Systems Library, Standard University, Tech.

Quantum Arithmetic Circuits in Public-Key Cryptography Computer Systems Library, Standard University, Tech

Reference 48

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:faa484d68d14c7050b0bcda0f16d4fc4197324500fe8e6aceb8b676dc470e8d1

Observation 35948c63-8e9d-4f76-98fb-cabf5900ecb0 · outbound

This paper cites In: Proceedings of the 40th ACM/SIGAPP Symposium on Applied Computing.

Quantum Arithmetic Circuits in Public-Key Cryptography In: Proceedings of the 40th ACM/SIGAPP Symposium on Applied Computing

Reference 49

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:9dbd574b01b94f8fda4acfe90a9b4bf36c59af4fd03ecc50637591cae253b9f3

Observation 9a332fe7-6613-4d3f-81f3-ad4ed096eb81 · outbound

This paper cites an unresolved cited work.

Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work

Reference 50

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:bf19d948b557d4c9dd9410078bc898abfb49616a28a5285a6d6ebc58aa3b7c1d

Observation b6162a86-c7ee-4e7b-983c-a5ca58acb7ad · outbound

This paper cites Sensors23(6), 3156 (2023).

Quantum Arithmetic Circuits in Public-Key Cryptography Sensors23(6), 3156 (2023)

Reference 51

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:4e36530e6a94eccde5d2400f995a974669b2bbb02d2abeaebe1a74a6ae998c7a

Observation 260d6408-ea03-4a4a-b40a-538f59e3a58f · outbound

This paper cites IACR Transactions on Cryptographic Hardware and Embedded Systems2025(2), 781–804 (2025).

Quantum Arithmetic Circuits in Public-Key Cryptography IACR Transactions on Cryptographic Hardware and Embedded Systems2025(2), 781–804 (2025)

Reference 52

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:772457f9fffe46104cc1c3fba60f48eab09112248f64d0b23f877cdc591891f8

Observation 9d064517-7a9b-454d-a5af-b59d1004f9f1 · outbound

This paper cites The Journal of Supercomputing72, 1477–1493 (2016).

Quantum Arithmetic Circuits in Public-Key Cryptography The Journal of Supercomputing72, 1477–1493 (2016)

Reference 53

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:2e75d6a17c7de81fb0d696898bc01adcd9d399b64a7de913e1bdc2a1765743e7

Observation 7863b31e-9fa5-408c-9718-1d4b2d0ce1bc · outbound

This paper cites IEEE transactions on computers44(8), 1064–1065 (2002) 24 Wang et al.

Quantum Arithmetic Circuits in Public-Key Cryptography IEEE transactions on computers44(8), 1064–1065 (2002) 24 Wang et al

Reference 54

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:75b2d1f8dd0edfb457d2dcb4fb7602ae089d44c51001d2f281dd5f3117a511e5

Observation 0676af6a-0143-4227-a43b-cc57baaf7e70 · outbound

This paper cites In: Doklady Akademii Nauk.

Quantum Arithmetic Circuits in Public-Key Cryptography In: Doklady Akademii Nauk

Reference 55

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:6b62fe4f60415c3071e807c4f72f03ab12f0df5c6eed3f01db1a0586a428597a

Observation f7066cd3-0fd7-4f37-b18c-66b667fe74b3 · outbound

This paper cites Quantum Information Processing14, 2373–2386 (2015).

Quantum Arithmetic Circuits in Public-Key Cryptography Quantum Information Processing14, 2373–2386 (2015)

Reference 56

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:4066252d3bd830b65d0e796925eb00a6d52944f408e6ea2cf8119728d57ad146

Observation 4aad0e7e-f848-4843-af3e-4d711b734f84 · outbound

This paper cites Rise of conditionally clean ancillae for efficient quantum circuit constructions.

Quantum Arithmetic Circuits in Public-Key Cryptography Rise of conditionally clean ancillae for efficient quantum circuit constructions

Reference 57

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:3547c8c2345a515af7c0720f4e60b7d0663155a03a061ac26c4135fa63497811

Observation 91fbbe45-a498-4979-8703-0e67053bb21d · outbound

This paper cites Cryptology ePrint Archive (2025).

Quantum Arithmetic Circuits in Public-Key Cryptography Cryptology ePrint Archive (2025)

Reference 58

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:700a96479bc5f68546de7cf217c4990dedc7d4e257ef71831485450c22cdfb44

Observation cf0a1a2b-7772-4aa5-8e89-66dd13b2fe23 · outbound

This paper cites Quantum Information Processing 23(10), 330 (2024).

Quantum Arithmetic Circuits in Public-Key Cryptography Quantum Information Processing 23(10), 330 (2024)

Reference 59

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:7f5ba80d2ab602a83db2098fe5b099a9c4c7ffd20f91718ac364f411d20abbf4

Observation a86c88b3-9140-4e83-9183-a7a370d789cc · outbound

This paper cites Tight Bounds on the Spooky Pebble Game: Recycling Qubits with Measurements.

Quantum Arithmetic Circuits in Public-Key Cryptography Tight Bounds on the Spooky Pebble Game: Recycling Qubits with Measurements

Reference 60

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:6b9d54eaf6b169b7da67b68a4aca51a0aece8b9b69d87fcd2f75703a879d3349

Observation db8e65b2-a939-43db-9f69-7c646577393a · outbound

This paper cites Nature pp.

Quantum Arithmetic Circuits in Public-Key Cryptography Nature pp

Reference 61

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:46ac6a4f53040dca8152c44576ace060b82f58d469243c0077b87dc4b367c38b

Observation 0f81fcea-cf7f-45e3-bb42-cae1007b8c1d · outbound

This paper cites an unresolved cited work.

Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work

Reference 62

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:5a333ab9a5d3cae4fa19283b473c0629ab6d828143a01096471d0939a527e2b5

Observation e5e40fdf-9556-4104-9ed7-8b306131fd25 · outbound

This paper cites Applied Sciences11(9), 3752 (2021).

Quantum Arithmetic Circuits in Public-Key Cryptography Applied Sciences11(9), 3752 (2021)

Reference 63

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:3350a3449235dee0162f8053f0157157b17344fb240edb00ec644dcb81ebaf79

Observation 6c9ee38b-e327-4b8b-9b42-a67e284faac7 · outbound

This paper cites ACM Transactions on Quantum Computing5(4) (Oct 2024).https://doi.org/10.

Quantum Arithmetic Circuits in Public-Key Cryptography ACM Transactions on Quantum Computing5(4) (Oct 2024).https://doi.org/10

Reference 64

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:10dc70088ac86671141c29c59a784f8a6faadd7f9d354626f9c8b3682460d550

Observation cecf57b0-60db-4296-ae64-dfd0519a5d64 · outbound

This paper cites PRX Quantum6, 030317 (Jul 2025).https://doi.org/10.1103/ch5r-cnfq,https://link.aps.org/doi/10.

Quantum Arithmetic Circuits in Public-Key Cryptography PRX Quantum6, 030317 (Jul 2025).https://doi.org/10.1103/ch5r-cnfq,https://link.aps.org/doi/10

Reference 65

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doi, observed 2026-07-14T03:50:13.299838Z

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:6f1a7014f75cbc293a19ff227639771d251d36aa3a0a58e9fc0b66ac1b602bce

Observation 39ff7c0a-7465-498f-8dd2-1b86ce7ac2df · outbound

This paper cites Nature Physics16(5), 509–513 (2020).

Quantum Arithmetic Circuits in Public-Key Cryptography Nature Physics16(5), 509–513 (2020)

Reference 66

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:d5a225e05a3885c20bdc376b203c436c1fca306b76574437033cea3c4c7e3555

Observation 09e2db49-2fbe-4ac0-afbe-df71a9b465ff · outbound

This paper cites Science China Physics, Mechanics & Astronomy 65(6), 260311 (2022).

Quantum Arithmetic Circuits in Public-Key Cryptography Science China Physics, Mechanics & Astronomy 65(6), 260311 (2022)

Reference 67

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:f06ee6f60c6ac664a3a73a4602bde54c86e18350e7b900a34c508640ebdb4c6b

Observation 796aad8e-9a66-4029-a076-a38c307037d3 · outbound

This paper cites ACM Jour- nal on Emerging Technologies in Computing Systems (JETC)11(1), 1–20 (2014).

Quantum Arithmetic Circuits in Public-Key Cryptography ACM Jour- nal on Emerging Technologies in Computing Systems (JETC)11(1), 1–20 (2014)

Reference 68

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:954ece7af40d486ae97aceb839378a561d7826622581ec1e408450449609b373

Observation 40b58ddb-0708-4470-b38e-761a994bb535 · outbound

This paper cites Quantum 3, 205 (Dec 2019).https://doi.org/10.22331/q-2019-12-02-205,http://dx.

Quantum Arithmetic Circuits in Public-Key Cryptography Quantum 3, 205 (Dec 2019).https://doi.org/10.22331/q-2019-12-02-205,http://dx

Reference 69

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:5c15ebdb9bbe975cda87db6a603f742590b47528a711a9b35e8346a37c524e78

Observation c4b0e200-18a8-42b5-b71e-8def17afb664 · outbound

This paper cites In: 2025 62nd ACM/IEEE Design Automation Conference (DAC).

Quantum Arithmetic Circuits in Public-Key Cryptography In: 2025 62nd ACM/IEEE Design Automation Conference (DAC)

Reference 70

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:36d696c3c1a40cefb612bdbd6045db62c4f22b248f646d9ed344a78ea466b1b0

Observation 27029d33-50b4-4d69-803a-45c230d8eed2 · outbound

This paper cites In: 2025 62nd ACM/IEEE Design Automation Conference (DAC).

Quantum Arithmetic Circuits in Public-Key Cryptography In: 2025 62nd ACM/IEEE Design Automation Conference (DAC)

Reference 71

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:b9c2883e3a1e608eca2d1f5845351f4910e26abf43bf71eb54d55cd90aed87b6

Observation 85bd6927-52f5-4639-9898-7184f91cee93 · outbound

This paper cites Constant-Optimized Quantum Circuits for Modular Multiplication and Exponentiation.

Quantum Arithmetic Circuits in Public-Key Cryptography Constant-Optimized Quantum Circuits for Modular Multiplication and Exponentiation

Reference 72

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:d7260acb4c0098a81684ecaabf88bbbb03938c14049a0c6cceba64aa17bbe0e8

Observation 9b2e38ee-ab6d-41be-8ee3-f936282c2573 · outbound

This paper cites IEEE Transactions on Computers68(5), 729–739 (2018).

Quantum Arithmetic Circuits in Public-Key Cryptography IEEE Transactions on Computers68(5), 729–739 (2018)

Reference 73

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:2de925abfaea88fddacec4b67c5607e8d663babfe0c455c7ad1db5b6726d2e3e

Observation 1f18d2c8-66f0-49da-8615-7cd8db0e8a24 · outbound

This paper cites IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems (2023).

Quantum Arithmetic Circuits in Public-Key Cryptography IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems (2023)

Reference 74

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:37ea0e498ebfd53703241392cf9d5e118a467ad0bdc0d0f69245161782c38afa

Observation f33ec586-c5e2-4418-8206-b7962906a5ab · outbound

This paper cites Quantum circuit for multi-qubit Toffoli gate with optimal resource.

Quantum Arithmetic Circuits in Public-Key Cryptography Quantum circuit for multi-qubit Toffoli gate with optimal resource

Reference 75

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:d2e55106ba078e7b1d14cc244bf877fbf882ffd8023f1f67b586bb9897d7b413

Observation 4e088724-6b4b-49b7-bdac-468a22a60e50 · outbound

This paper cites Nature536(7617), 441–445 (2016).

Quantum Arithmetic Circuits in Public-Key Cryptography Nature536(7617), 441–445 (2016)

Reference 76

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:bce4541588f9d5dcb8335d70a217f3bf9f84db725b740788c8d0d7e225ff6072

Observation 2c03854b-44c3-4c51-b12e-2cac2a807f37 · outbound

This paper cites Physical Review A107(4), 042621 (2023).

Quantum Arithmetic Circuits in Public-Key Cryptography Physical Review A107(4), 042621 (2023)

Reference 77

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:7dd0db6fcde34521fc346f658940398b6101a25ace2ec73446ae0614402a9a51

Observation a5be1ef4-0c01-4c05-a2c7-0b2ddddda2a3 · outbound

This paper cites Journal of Systems and Software p.

Quantum Arithmetic Circuits in Public-Key Cryptography Journal of Systems and Software p

Reference 78

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:91dd7d90e642c2e97b6d9131806635f9c352e34bca9a4882d93aa9a33d9b23e6

Observation 0d3862b3-19a1-4a32-8aa1-66625be5f277 · outbound

This paper cites Improved reversible and quantum circuits for Karatsuba-based integer multiplication.

Quantum Arithmetic Circuits in Public-Key Cryptography Improved reversible and quantum circuits for Karatsuba-based integer multiplication

Reference 79

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:98009759e805b782068e1884ac979e0188fc7b1d83d93bae209febb19391ac68

Observation f8742469-3a0b-42e7-8932-d6bac7c7654f · outbound

This paper cites IEEE Access11, 21848–21862 (2023).

Quantum Arithmetic Circuits in Public-Key Cryptography IEEE Access11, 21848–21862 (2023)

Reference 80

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:b62f8415c06df5364b6807255c1cc2beb2f45af8c1833f94366ccf159d225cc3

Observation a24e3b2d-c062-47cd-a43d-b38685c4b5a1 · outbound

This paper cites Nature482(7385), 382–385 (2012).

Quantum Arithmetic Circuits in Public-Key Cryptography Nature482(7385), 382–385 (2012)

Reference 81

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Source-reported events for the cited work

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:86b75e467118d0bcd25bcdb9e39b118795476a4b473435228fb51e5227af43c3

Observation 51161d57-5b14-4449-8a99-7daad3578a8f · outbound

This paper cites In: International Conference on Reversible Computation.

Quantum Arithmetic Circuits in Public-Key Cryptography In: International Conference on Reversible Computation

Reference 82

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Source-reported events for the cited work

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:ac0c0831026beaa85fb85e2ce190e7c8a7ead4d65a544fefe1a57148acccaea1

Observation cc23a8e3-e091-4a42-bb1e-8aba6d192af5 · outbound

This paper cites Communications of the ACM21(2), 120–126 (1978).

Quantum Arithmetic Circuits in Public-Key Cryptography Communications of the ACM21(2), 120–126 (1978)

Reference 83

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Source-reported events for the cited work

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:6c0181f3bb4579a9b02ba1e152ec0db3e5fbbfdfd0618398e835bce39bdbeee7

Observation 66034ad7-615d-4d81-897b-99edd0104b2c · outbound

This paper cites In: International Conference on the Theory and Application of Cryptology and Information Security.

Quantum Arithmetic Circuits in Public-Key Cryptography In: International Conference on the Theory and Application of Cryptology and Information Security

Reference 84

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Source-reported events for the cited work

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:eb7eaba6e835bbc323d86318afae570628814f8427270c9fcac9df23ceafb94c

Observation 258436e5-4820-42e7-9997-25034e38cc85 · outbound

This paper cites US Patent 2,96630(1957).

Quantum Arithmetic Circuits in Public-Key Cryptography US Patent 2,96630(1957)

Reference 85

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Source-reported events for the cited work

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:cfa269632afe7c34225cd9d186d10759564dc94606a4c5b6610b2bc9555fca21

Observation 520358ff-2b6a-4e09-a09e-7f57b75185f9 · outbound

This paper cites International Journal of Theoretical Physics60, 1–13 (08 2021).https://doi.org/10.1007/ s10773-021-04864-3.

Quantum Arithmetic Circuits in Public-Key Cryptography International Journal of Theoretical Physics60, 1–13 (08 2021).https://doi.org/10.1007/ s10773-021-04864-3

Reference 86

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Source-reported events for the cited work

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:0cd35da360601f93b2d9430c2cd1caf19002dcbcc5ea9e08e06893b0143d6762

Observation 96d69069-23d9-41ce-989c-522efa3163de · outbound

This paper cites an unresolved cited work.

Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work

Reference 87

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verified exact
doi, observed 2026-07-14T03:50:13.295510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:9459665d09d4ab12ff8becf9c9b41ccb056dd94b265a9d86d14d1f2469b167cb

Observation 2c956754-6645-4a64-9276-e88958480ada · outbound

This paper cites an unresolved cited work.

Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work

Reference 88

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Source-reported events for the cited work

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:15e305a44042b475dd907b11f24b610f5d5a6046ea1a383ba55c7a0a7262294f

Observation e128a226-38dd-4a3c-9050-8200240aaa47 · outbound

This paper cites Nature645(8081), 620–625 (Jul 2025).https://doi.org/10.1038/s41586-025-09367-3,http:// dx.doi.org/10.1038/s41586-025-09367-3.

Quantum Arithmetic Circuits in Public-Key Cryptography Nature645(8081), 620–625 (Jul 2025).https://doi.org/10.1038/s41586-025-09367-3,http:// dx.doi.org/10.1038/s41586-025-09367-3

Reference 89

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Source-reported events for the cited work

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:0f9f5047ae94c044ab9057bbd3cd65d3c2eb96ab19d56ea5f5c78edfb27001cd

Observation a7ed76fd-22d0-47c3-a195-1061e3b3e67d · outbound

This paper cites an unresolved cited work.

Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work

Reference 90

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Source-reported events for the cited work

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:632b2878ee91d8f9e4cf8cb46d9a535595d2daba890f73426205edb1a54016cc

Observation fe458053-28db-4c7f-9d8e-5c5923dfdf41 · outbound

This paper cites Physical Review A—Atomic, Molecular, and Optical Physics78(1), 012337 (2008).

Quantum Arithmetic Circuits in Public-Key Cryptography Physical Review A—Atomic, Molecular, and Optical Physics78(1), 012337 (2008)

Reference 91

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Source-reported events for the cited work

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:84e5c9a01daa6a140dcc3340901f3702c98f8af4d16ff9d0eafe1b7a0870e694

Observation d76eceb2-c363-4db4-aa87-69d62472edc6 · outbound

This paper cites Review of scientific instruments21(8), 687–693 (1950).

Quantum Arithmetic Circuits in Public-Key Cryptography Review of scientific instruments21(8), 687–693 (1950)

Reference 92

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Source-reported events for the cited work

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:2ba0343361c4ac4c1d42cdd0547527980590ae04eec9a26406b0a640575fb446

Observation a808036e-d43f-4ac6-95a5-93b3b117120a · outbound

This paper cites Proceedings of 35th Annual Symposium on Foundations of Computer Science (10 1996).https://doi.org/10.1109/SFCS.1994.365700.

Quantum Arithmetic Circuits in Public-Key Cryptography Proceedings of 35th Annual Symposium on Foundations of Computer Science (10 1996).https://doi.org/10.1109/SFCS.1994.365700

Reference 93

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:56bcf66558152f7931764de134596603a15679ed3f75082944c2d1278fb5a713

Observation 0e26bf2c-b800-4ab5-b931-90807fca5348 · outbound

This paper cites Electronic Computers, IRE Trans- actions onEC-9, 226 – 231 (07 1960).https://doi.org/10.1109/TEC.1960.

Quantum Arithmetic Circuits in Public-Key Cryptography Electronic Computers, IRE Trans- actions onEC-9, 226 – 231 (07 1960).https://doi.org/10.1109/TEC.1960

Reference 94

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:0c61dc1fd759349db532bc8a1b9fd0ad30c3481cf2a6757a808ef1d3626c5dcd

Observation ccbfcee7-cc45-46d9-a2dc-18759a99ce1b · outbound

This paper cites an unresolved cited work.

Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work

Reference 95

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Source-reported events for the cited work

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:83f13525e6e9b768f2d3192b090aab03221090d96e576fdb62a3bbfea4f31a86

Observation a13ae08a-8cea-4413-8602-c55c71d27352 · outbound

This paper cites Quantum Info.

Quantum Arithmetic Circuits in Public-Key Cryptography Quantum Info

Reference 96

Resolution
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Source-reported events for the cited work

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:83146f5ab7c1a8613394dbb03354680790490df47a57e884bc027f74cb7bcef0

Observation b9ad4bbb-2cd3-47c8-b05b-d44fd46d7f96 · outbound

This paper cites Quantum Information and Computation8, 636–649 (07 2008).https://doi.org/ 10.26421/QIC8.6-7-5.

Quantum Arithmetic Circuits in Public-Key Cryptography Quantum Information and Computation8, 636–649 (07 2008).https://doi.org/ 10.26421/QIC8.6-7-5

Reference 97

Resolution
verified exact
doi, observed 2026-07-14T03:50:13.255007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:daccef668593aa337f14ebbb52ee09437c7af9af87cace4743b7976dacce72c7

Observation 9e58b023-c928-4c09-af33-583320fee273 · outbound

This paper cites Quantum Information and Computation10(10 2009).https://doi.

Quantum Arithmetic Circuits in Public-Key Cryptography Quantum Information and Computation10(10 2009).https://doi

Reference 98

Resolution
verified exact
doi, observed 2026-07-14T03:50:13.296608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:ab4ba7ab9be8e7d307b5ebc6639728106d896fd8608a4aa25ddf534048f030a7

Observation 351d1dc7-3323-46b9-9d61-992be74b68a7 · outbound

This paper cites In: Transactions on Computational Science XXVII, pp.

Quantum Arithmetic Circuits in Public-Key Cryptography In: Transactions on Computational Science XXVII, pp

Reference 99

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Source-reported events for the cited work

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:1eaaa168b4a3b00965ee44b3d068e75be19c940af9bc7f528307c34f68c34db0

Observation 3219445c-a767-4975-a676-5d6b78cd6e45 · outbound

This paper cites IEEE transactions on emerging topics in computing9(2), 1045–1056 (2019).

Quantum Arithmetic Circuits in Public-Key Cryptography IEEE transactions on emerging topics in computing9(2), 1045–1056 (2019)

Reference 100

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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:7a6e9083a05ec6fcf7ed44ad86097399aedda42d1bd348a4d0aeb6dcd4c63c75

Pith citing papers

No inbound Pith citation observations are available.