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Paper Citation Record · LEDGER

Quantum Arithmetic Circuits in Public-Key Cryptography

As of 9 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

Typed states for the displayed outbound observations.

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

measured 100 of 100 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

100 of 121 outbound references displayed

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  • verified fuzzy0
  • unresolved90
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  • malformed identifier1
  • metadata mismatch0

External citation measurements

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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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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:fd5cd37cc90c9d3d4aa4572d84bc4734c487ecfcd6c828e7f694a0cb423d7781

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=sha256:4f5094fe69bb9d2fc96f33fb5cbe4dc3737983c3e1ec064603b4c27f35076ebe

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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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:ef6451dbf249c8108ee28e386e4e3895595f7f652da52b8f0e030cbff4799c29

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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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:27e54c3d5245abc7e8e07756907b74bcb3074eb029def49be0fd12d24a491036

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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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=sha256:9fa3f7d0b5bb3e2acf4dd97f2c1d33014e6cc98e03543a72fa211dfcec879743

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

This paper cites an unresolved cited work.

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:c70a073468416e11a0cab0eb1464e20a6f09c4b5b899fb297dd135eede422641

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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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:b8f6f47c3331859a9764efdbef952b73b944e2fe3c88ade8032e40b05c490a0a

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=sha256:0412c21e675f24e0f7c4141a74b778ddb202b452ff292ab67bc677ebf520aff0

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=sha256:97236ef043a036ec153a359515317a9d0c6927147833ddd220e3c30ef969db71

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:c990a4f43db7f05cd15be6fb13585d2b023be64058957b803a8d7c743e361a40

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

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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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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:980139f0e361825eb09d9b0c16b08a9ede788e297ee9c99371877aaff6673121

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=sha256:59f6a6b462e9b8dd74f337f0d7a53983453b4f0d81cc555fe926d5573008fc68

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:bbba35d7e8cf61254a6df72387b5da67d0474db36f6964c1cab189c3135b668e

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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source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:1abdb09769ed672e952bda29542aa2091f6049c4c3f2545a6a7f32ad31380505

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=sha256:749f86f12d375f9923e1a34f6fc9c29a56628c7cdb2e19f19d72fd4c61269f52

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=sha256:709c48aef0c44d2dd86e2831dfa4f4ba72ef60e7109e77d0c7ec12331f0e5adf

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:bf590effafb70bdfbaf77c4f5c4028e2d7f872c708d53823daba4cebd33d8567

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=sha256:6411f6b8eaabf37e017dc1408b82e893b84a014d66d913928adee933e28651e5

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=sha256:293623227b5524aaeac05fc9303a43f4217617d7d370c8af18b635104e3aff53

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:e942cc02ea8db8dcde18f35a6faab2e3dfcc69ac6109ea3290685baef057d11f

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=sha256:185376047c5f0fc31838f6d76719ff3e5565f5c77809a60ce623237ed4fe2a22

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=sha256:606d9ba465c7fbad14b1988edf8c47e63ef025d6a3b0b4cbf8286318d5cb3768

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:f7b462d8e97b3fc365d84f4f96781bfa1c498ec54fc44e99438bc729374d5b5c

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=sha256:2462fbd3f1ec8a9a9fe8eab97add07669f89bebef0274b6340bcaebf5cdbf74d

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=sha256:9b5ed14128218eae74d0d2905bf87e1841f05be6e963cbc0b646a5e57f894979

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:ce7f773bf27689caac671f57c7342cca2974cb1a39b274ec4329ac374ba8b932

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=sha256:2173575cbfbdae0cf885a5a0ea8c47bb74ad7b34e228a1715a7ff60bf9dd2c5f

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=sha256:68a9998d90f3c9d163598bbc6d969a3839c156d8ba637449c30a119b447792de

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=sha256:8c61b3ba7c08d3cef262b3b855943767f9c237ac238e00a28b6f9aacf0300562

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=sha256:29133eb61634c44c666a39cbaeed97832247ba7ad6a4052b0a71bbb9074925af

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=sha256:5ef5594db943aa6c87bb7e29f7db409d5b4682e7532cde2a4a4013031a7e1845

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=sha256:5b98006bded93443e6db338d5d0718269eefe5a591486b3a1f0a682440c23a87

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=sha256:21b09f316fc0a00b2d5fef5464c18664445bb4687ffeaa82b6de0074ea9e7d3d

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=sha256:3bedbe749e59dfb4c11dbf418e12132f0519b02890a4ad5cb4bd79c6ba4f1c60

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:f75e0cfc6f7a2b427028b2200447ed882c13a677cf9d7937f20cfd093ab4d4c2

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=sha256:73f70a30091ab88c5bfed2780f5211e5e876fe1ea9cb0c001199b82f86337790

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=sha256:3b50a89736b10d557a96137928293b81e7a825d17a24b15b010bb0a0d52e83f1

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:fda517a7c2ade4dab5c026d0b4e8c73344ca0954ea6dfc739bb2204a4527ff5b

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:ed3dfccacbbdf7f8c004e10c6e4c42fa54d1ebd1db150ad195050f2f74143163

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:cef085b89ed5a1d1c8f185da43f0ebc9632dadf571f458125717e68f7169a438

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=sha256:55da350c97456b00c996be54245e8d0f60866454f1d8498f8f99635e929c5a0b

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:e9d16c199624384e9aaa284964c8997aa30f4bb620cf67d11308cd9a7f4a3605

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:ea0a9d583449ca2fb28682ceada2e4e7e9b29db54e4d5db9a020921302aea9d0

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:b45f710593502e87696ea7a7f4f08139b3701a3b17ede12cd27019d6526af6ff

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=sha256:1410ed4737dedbca54e10f39d1e97a235641e69606a156a1ef3f25576ed30efb

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:c3d83f3092e01da89033beb874c64d2a674d72194ce9968dae2b207b16297165

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=sha256:9cf938d8e9cad4be101b6d2d147077e8017e41278b45e2a1f59e74c861029ccd

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=sha256:0f5355689141b07161b17da1d4282aa6f1deefd94d8c9c562c3e6c1f4bf09bc4

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=sha256:5e79539f43eab732a8dcf8c0fd8d60c40d70c4926b5fd1943a944a4b2f3b2bd3

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:ffcaaf42364728c071bf9cf95d07881b763149955cf2c5bfc6c0fa6bad8da7ce

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=sha256:1c54d81c667bebab3c9e5ea5d55c95ef58dba611e6b59c29703678d2e4459d99

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=sha256:2678a417842e965e40eb787eb006d8e5fd2a12f536dd627d0974efc177ead149

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:f508d6094a93dba8d8bfbf145d5490302859982a9afeaae6f658171cc3dcbb97

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=sha256:04d26eaeb167af4da3665d5e9df4dd4616c0e1f17a10f65b211ffd01c7a395d7

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:b2b718b0cfca0081465e7c817dd1c6f239e1193615ccda9314313acad2cf01f0

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=sha256:9f8a51c153816b75cb98d5316de908b62ca59b4d23fa295596bfaf4acf9709de

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

Resolution
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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:14f2aabaa1ddb1f90b7b6f5d5e9904590b338f2a415eb57f5f17d2afc4c709f7

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:c8c2fe02a3686e6fc0e8832df71e5ec809e9081c6003a1c893a3587b9e6d8d60

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:c78edf422d210923b9e6f0704ac9494504c7f68b312e3e50f9fb143dc50d857b

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:db6716ff3fc23c0b2a0f5cdfc32db366249334e6284e17f462de312477caa2df

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=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:1c8912f4a1d72b61a9c3163aa6b8023f06fa8820fb004f7ed792dca2769deef8

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:f73a0c8092e5bccfd58af7856857daa805d63023c49065db02ebd8bdf9959490

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=sha256:2cbbb0a717867bed381c6aa7bbd816e6d0707a2f3a598fc4d3c65787047aa32a

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=sha256:9e28bbc29dfd532890fc0b96c2a146a4b9df60304b458c95f2fc01460885579c

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

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:e0b5fe7adfaf920b0b5a5daa205da23468d35cb818098ac920dd3b8d0ec2c115

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=sha256:7095d56ab94cadffe271a87aca529a17264905d179b835e64df1e786b10953af

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:b5ffc532416f3a10638477bda44cee51025f2e648f1777bb6ff780f25ccec22b

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-14T03:41:44.573679Z digest=sha256:1097e2315c8941fa03541bdb03e58ccfb76c214aed717201c42585de094255a7

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=sha256:85ca24f3d6553b208255b10957f8e76a00f3aa206597f4c2ca1350290e5d75ee

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:d8eb59b5f60b12b2e432ac1d3e1d97eb4ed85286b0923dae51608d290c77d49f

Pith citing papers

No inbound Pith citation observations are available.