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Paper Citation Record · LEDGER

Integer Factorization: Another perspective

As of 11 August 2026, this Paper Citation Record lists 75 of 75 outbound references and 0 inbound Pith citation observations for arXiv:2507.07055.

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

pith.paper-citation-record.v1
2507.07055 v1

Coverage vector

measured 75 of 75 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:55:39.535855Z

measured 75 of 75 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

75 of 75 outbound references displayed

  • verified exact4
  • verified fuzzy48
  • unresolved22
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4f2d2f93-6aaa-40b3-91d6-52fa55a7e59b · outbound

This paper cites an unresolved cited work.

Integer Factorization: Another perspective Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:55:40.335398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 15fd9221-d04d-4997-9d6f-7963e4e00181 · outbound

This paper cites I., Ariffin, M.

Integer Factorization: Another perspective I., Ariffin, M

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation f961777b-58ad-4ac1-8542-7cdb7df83973 · outbound

This paper cites and Saxena N.

Integer Factorization: Another perspective and Saxena N

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.289309Z digest=sha256:47722171a94e664faefa289aa4807217ade1b877f20281e3cd63ef7c1c642b40

Observation 8b0b8b0a-428b-4313-9bdb-49dd63379c0a · outbound

This paper cites A comparison with the Gaussian Integer Method, Mathematics of Computation, Volume 72, Number 242, Pages 953–967.

Integer Factorization: Another perspective A comparison with the Gaussian Integer Method, Mathematics of Computation, Volume 72, Number 242, Pages 953–967

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:40.305217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 119ec394-8dbe-4f0c-9979-384ac222ef14 · outbound

This paper cites Lenstra and H.

Integer Factorization: Another perspective Lenstra and H

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:40.295054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 36853b76-fd8c-4bcc-b43c-00103d481e04 · outbound

This paper cites Sugli integrali multipli.

Integer Factorization: Another perspective Sugli integrali multipli

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:40.285074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.300406Z digest=sha256:d92dc0474f28e584f722e02179135aea64ed5b3abc6834b39a87cbb278652fa0

Observation 4fea4dc4-77e8-4215-85c1-1974c2efa838 · outbound

This paper cites an unresolved cited work.

Integer Factorization: Another perspective Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:55:40.274602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.303881Z digest=sha256:bf32f02ee0daa4294d200fe228ae95429015487b4df5771dcb5f23686df66377

Observation 33d1ef8a-f9ce-4512-a8c3-5cc45e2844bf · outbound

This paper cites Coppersmith, Small Solutions to Polynomial Equations, and Low Exponent RSA Vulnerabilities, Journal of Cryptology, 10(4), 1997, pp.

Integer Factorization: Another perspective Coppersmith, Small Solutions to Polynomial Equations, and Low Exponent RSA Vulnerabilities, Journal of Cryptology, 10(4), 1997, pp

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:40.263912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.307147Z digest=sha256:f010b656949c09977289babf9ef2bcad022e6c286e96cec8843f43780dbccef6

Observation ec98ce48-4300-453d-860f-bca1fdb54c34 · outbound

This paper cites (2007) Faster Addition and Doubling on Elliptic Curves.

Integer Factorization: Another perspective (2007) Faster Addition and Doubling on Elliptic Curves

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:40.252197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.310351Z digest=sha256:8bde0ecd147051806686c93493b71a6a878ad7ae6fc98772b07be7fac40e93b5

Observation 0dd3558a-0577-44c6-ad27-5d64b6056e13 · outbound

This paper cites In: Boztaş, S., Lu, H.-F.

Integer Factorization: Another perspective In: Boztaş, S., Lu, H.-F

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:40.231591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.317275Z digest=sha256:e5b18df84be2a7410d6c51e40864fa6bce81fd39051d77e22de7f91c47446f91

Observation 3b16b779-4c5d-4dee-8ff8-4ed12306e166 · outbound

This paper cites In: Vaudenay, S.

Integer Factorization: Another perspective In: Vaudenay, S

Reference 13

Resolution
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raw_fallback, observed 2026-08-06T18:55:40.220960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation ff4d5cc5-71c7-4761-89aa-b3cb8a99cbe3 · outbound

This paper cites In: Fossorier, M.P.C., Hoholdt, T., Poli, A.

Integer Factorization: Another perspective In: Fossorier, M.P.C., Hoholdt, T., Poli, A

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 95172b10-e23d-4270-95d9-6d9d040d2c3b · outbound

This paper cites and Tonien, J.

Integer Factorization: Another perspective and Tonien, J

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation ea8cd5c6-d86d-4f2f-a9ba-a1c3b277d30d · outbound

This paper cites an unresolved cited work.

Integer Factorization: Another perspective Unresolved cited work

Reference 16

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.330452Z digest=sha256:0a93e019763422d3e6ecac7d8583e0cae9f6c9b35ba571f8ffdb373c9eedb3bc

Observation 0955031a-cedd-4654-a4ab-fd9f10bb6be9 · outbound

This paper cites EUROCRYPT ’84’, LNCS 209, pp.169-182, 1985.

Integer Factorization: Another perspective EUROCRYPT ’84’, LNCS 209, pp.169-182, 1985

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:40.190971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 1846121b-887d-4b35-99d4-6c542a276d7d · outbound

This paper cites proceedings of Symposia in Applied Mathematics, Volume 48, 1994.

Integer Factorization: Another perspective proceedings of Symposia in Applied Mathematics, Volume 48, 1994

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:40.180743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 5ee622bc-611e-4667-ac30-ae7d7a273bac · outbound

This paper cites an unresolved cited work.

Integer Factorization: Another perspective Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:55:40.169636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.340812Z digest=sha256:d3caa8f6306af6bf77d232dc54dd36615ae40af969aa9d9c74fea946e750330c

Observation 91d50421-59da-4d7e-90f6-e4be4f75f18d · outbound

This paper cites In: Ohta, K., Pei, D.

Integer Factorization: Another perspective In: Ohta, K., Pei, D

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:40.158307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation f235f425-cb7b-4ced-a643-047acaca9dfb · outbound

This paper cites Montréal, CA: McGill University.

Integer Factorization: Another perspective Montréal, CA: McGill University

Reference 21

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.347936Z digest=sha256:483fdedbc1fcf9a876da022fa662cfc17f58d470e3f2119b71937d986dd94e2b

Observation bca9a65e-d0ac-4528-b176-63a051266f90 · outbound

This paper cites Gilat, Gauss’s Lemma and the Irrationality of Roots , Revisited, Math.

Integer Factorization: Another perspective Gilat, Gauss’s Lemma and the Irrationality of Roots , Revisited, Math

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:40.136542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation f6512dae-f473-492e-977b-fbc42f60d314 · outbound

This paper cites an unresolved cited work.

Integer Factorization: Another perspective Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:55:40.126022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 124beb92-9cbc-4023-bc38-6f4b27d17639 · outbound

This paper cites Gordon, Asurvey of fast exponentiation methods , Journal of Algorithms 27 (1998), no.

Integer Factorization: Another perspective Gordon, Asurvey of fast exponentiation methods , Journal of Algorithms 27 (1998), no

Reference 24

Resolution
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raw_fallback, observed 2026-08-06T18:55:40.115064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 2d56ab41-3b3f-49a8-913f-c000338ec860 · outbound

This paper cites an unresolved cited work.

Integer Factorization: Another perspective Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:55:40.104896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 9c6bc516-12fe-423e-b307-5d3ac7d11e95 · outbound

This paper cites Bernstein, Peter BIRKNER, Tanja LANGE and Christiane.

Integer Factorization: Another perspective Bernstein, Peter BIRKNER, Tanja LANGE and Christiane

Reference 26

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation f15921c2-9e94-4559-a022-9feba7d9bcc4 · outbound

This paper cites Johannis Pellii; & speciatim de Problematis imperfecte determinatis (On Algebra by Dr.

Integer Factorization: Another perspective Johannis Pellii; & speciatim de Problematis imperfecte determinatis (On Algebra by Dr

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:40.084828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 2114465b-9e98-48cd-9998-1dd1aef781d4 · outbound

This paper cites an unresolved cited work.

Integer Factorization: Another perspective Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:55:40.074358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation d0990ed2-2b6f-4aa9-bbc3-a2aee42b5ed1 · outbound

This paper cites Théorie génerale des équations algébriques.

Integer Factorization: Another perspective Théorie génerale des équations algébriques

Reference 29

Resolution
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raw_fallback, observed 2026-08-06T18:55:40.064909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation c0430535-3f85-44cb-a0d9-9bbc27002d6c · outbound

This paper cites an unresolved cited work.

Integer Factorization: Another perspective Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:55:40.054512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation a89cbadd-d9b2-4cd9-a0ca-8d8f527eea4e · outbound

This paper cites an unresolved cited work.

Integer Factorization: Another perspective Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:55:40.044850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation fa7c01b0-a458-4a86-8e71-abbba1b64c57 · outbound

This paper cites Lemmermeyer, Residue Class Rings Lecture Notes, https://www.mathi.uni- heidelberg.de/ flemmermeyer/pell/bfc03.pdf.

Integer Factorization: Another perspective Lemmermeyer, Residue Class Rings Lecture Notes, https://www.mathi.uni- heidelberg.de/ flemmermeyer/pell/bfc03.pdf

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:40.034539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 90c942bb-e53c-47f7-bfe1-bcbca487fbd9 · outbound

This paper cites an unresolved cited work.

Integer Factorization: Another perspective Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:55:40.023250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.390831Z digest=sha256:1591c2bdcc5bfee0bc3107dcafbbdcd5c3df78ae102995dab83f9551eeadfb98

Observation 0d148228-ff70-4d1f-a508-b4b57249e7b2 · outbound

This paper cites Bansimba, Régis F.

Integer Factorization: Another perspective Bansimba, Régis F

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:40.012198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.394148Z digest=sha256:71acb561f7f4ab8c46c146414f14a8c6712e3fed6cd2df96fe64cca0e0ec6529

Observation 0d89d238-d5e7-4996-927b-912bbe6e4950 · outbound

This paper cites Bansimba, Regis F.

Integer Factorization: Another perspective Bansimba, Regis F

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:40.346227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.397930Z digest=sha256:38f902bf25d47b9ec6fdf4bc6f0ba90fd037c402700de0701e12518b0bb28bf4

Observation 5b9f9d07-43de-48b3-bdfc-7ad1571932f9 · outbound

This paper cites Lattice Points on the Fermat Factoriza- tion Method.

Integer Factorization: Another perspective Lattice Points on the Fermat Factoriza- tion Method

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:40.001331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.401223Z digest=sha256:debd3402507d22fdee484232bc20d0168529a8fc6068fa03ea6546faca8a93b8

Observation 83641edc-2f82-43a2-8ba9-cd8ac46fc411 · outbound

This paper cites A New Hyperbola based Approach to factoring Integers.

Integer Factorization: Another perspective A New Hyperbola based Approach to factoring Integers

Reference 37

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T18:55:39.596197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.407619Z digest=sha256:e9b8661c8b212c45b203b3f5bd91bfc39c0bdccd4adc91cc58c6cf3777001a11

Observation ee5ad347-d257-42c5-861b-15a3f00fdf5e · outbound

This paper cites A Continued Fraction-Hyperbola based Attack on RSA cryptosystem.

Integer Factorization: Another perspective A Continued Fraction-Hyperbola based Attack on RSA cryptosystem

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-06T18:55:39.411524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:55:39.411524Z digest=sha256:616093437614515129fa8694d42fa9151d455d51b50f78ab8b0b0c7e8897c066

Observation 71aff32a-cc07-482e-b7a1-47a13814d534 · outbound

This paper cites Bansimba,PytLoc: a python tool that locks and obfuscate python source files using a one time pad lock , Python Package Index https://pypi.org/project/pytLoc/.

Integer Factorization: Another perspective Bansimba,PytLoc: a python tool that locks and obfuscate python source files using a one time pad lock , Python Package Index https://pypi.org/project/pytLoc/

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:39.990161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.415484Z digest=sha256:ad66a179517f3ace13387cca864176146763f6f418d476315f644d94ea5908e3

Observation 7c5c9653-c53c-4a33-845c-6b55d7211774 · outbound

This paper cites an unresolved cited work.

Integer Factorization: Another perspective Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:55:39.978978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.419613Z digest=sha256:d8a7a1beb7ca8ac418a91932db59daf9033236320bc68c27e5627ec9b56e9c13

Observation c56da640-871c-48de-b989-1e99fc508097 · outbound

This paper cites Edwards, A Normal Form for Elliptic Curves, Bulletin of the American Mathematical Society, Volume 44, Number 3, July 2007, Pages 393–422.

Integer Factorization: Another perspective Edwards, A Normal Form for Elliptic Curves, Bulletin of the American Mathematical Society, Volume 44, Number 3, July 2007, Pages 393–422

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:39.967896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.422846Z digest=sha256:b9454c9898c85360847c7752652e29582a75d1e073e689459107a7bd2e52ce9a

Observation fee0ea90-374e-4c05-8e88-52d5c052e025 · outbound

This paper cites an unresolved cited work.

Integer Factorization: Another perspective Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:55:39.958213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.427134Z digest=sha256:a90a045528ca621611fe3da5df89416d65f71b43d4a5efd6e5eeb58e225e1906

Observation a055cba4-00df-4c7e-8f66-46dabf862c27 · outbound

This paper cites an unresolved cited work.

Integer Factorization: Another perspective Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:55:39.948139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.430431Z digest=sha256:b047352421119875700f71e2c9140c173325cbf0f13f22866500aa7f8076e6dc

Observation 547890a6-5e73-42c2-8f24-42f4c921e2e5 · outbound

This paper cites Matplotlib: A 2D Graphics Environment.

Integer Factorization: Another perspective Matplotlib: A 2D Graphics Environment

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:39.938794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.433663Z digest=sha256:3928502446a4bcdc6e82103780a38f8f953e84b3a6c18bf69b407e264d5d9be7

Observation 8f06ca74-15dc-42e5-bff7-6d07ad2a66e7 · outbound

This paper cites an unresolved cited work.

Integer Factorization: Another perspective Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:55:39.929191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.437379Z digest=sha256:b524d270d0a80171700c2dba395099ca53e5c72c5581dd635480d251ba40cce4

Observation 5b20546f-4536-407e-8291-153e3b74679e · outbound

This paper cites Computational aspects of the Aryabhata algorithm.

Integer Factorization: Another perspective Computational aspects of the Aryabhata algorithm

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:39.919456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.440703Z digest=sha256:64ac4f47060ad5d4a0ac0e633c9e7244937390f5c7e761ed2dc5637b8896c3ea

Observation 9f4940d3-2aa0-402c-bc2e-5211d648ecf1 · outbound

This paper cites Two Simple Lower Bounds for Euler’s Function , vol.

Integer Factorization: Another perspective Two Simple Lower Bounds for Euler’s Function , vol

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:39.910002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.444110Z digest=sha256:a11734ff66ce352d5500f04185adc6ab717c93612720dc33eb0b2ce3e91999ef

Observation e2f7478c-229f-472f-8e35-a75282628a85 · outbound

This paper cites an unresolved cited work.

Integer Factorization: Another perspective Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:55:39.899659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.447323Z digest=sha256:f84f5d35d2f03cd6d8b2613599ba751b5edea26457b3a8730c2d75830f2adf98

Observation 650c6618-4483-4a82-b718-58d1b65c4a26 · outbound

This paper cites 75 (256): 2037–2047.

Integer Factorization: Another perspective 75 (256): 2037–2047

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:39.889369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.450405Z digest=sha256:94c728308142d59c52cfde5ee1737d4b74caea28ff86d99977897be68fd5b722

Observation 06959f18-0dc1-4540-8137-92209e050d16 · outbound

This paper cites Suite des réflexions sur la résolution algébrique des équations. Section troisieme. De la résolution des équations du cinquieme degré & des degrés ultérieurs.

Integer Factorization: Another perspective Suite des réflexions sur la résolution algébrique des équations. Section troisieme. De la résolution des équations du cinquieme degré & des degrés ultérieurs

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:39.879632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.453880Z digest=sha256:3fdfc98bb577d6002f71b26fdc9f5508eb00412e3e7cbec70a9ddb89ac068cb4

Observation f073cc76-bb8f-45b9-bb0b-98e3b3ab4acc · outbound

This paper cites an unresolved cited work.

Integer Factorization: Another perspective Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:55:39.869267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.457169Z digest=sha256:d6579a3273eba9d23324457bf7e1448feb0b37da3f8e33b8c664e01909d08a4f

Observation 6bfcdea3-f2b6-4215-af3c-61d90f31d018 · outbound

This paper cites and Pomerance, C.:Primality testing with Gaussian periods.

Integer Factorization: Another perspective and Pomerance, C.:Primality testing with Gaussian periods

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:39.859088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.460387Z digest=sha256:d4add91c31b7965a93de9c3602cc1a36957fb8916a641ef94b1908c906fbf98a

Observation 8f41dbe4-7309-41c0-85b5-3e4a392184c4 · outbound

This paper cites Another proof of Cauchy’s group Theorem.

Integer Factorization: Another perspective Another proof of Cauchy’s group Theorem

Reference 53

Resolution
verified exact
doi, observed 2026-08-06T18:55:39.570217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.463488Z digest=sha256:4be5d36b9e0b6c9d2c0eb5c7615403329c650809b975f3030e30721cb04f6e08

Observation bc7ad0a6-46ca-4b29-a62e-fa3af5f4c585 · outbound

This paper cites Speeding Fermat’s factoring method.

Integer Factorization: Another perspective Speeding Fermat’s factoring method

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:39.848641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.466804Z digest=sha256:8b5826923e624a2ed3a52571cc2fc19cbb4229251f8ce0bab6f69447b418b7d1

Observation 6597c0c9-8cff-49d9-9862-33a22d120db8 · outbound

This paper cites an unresolved cited work.

Integer Factorization: Another perspective Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:55:39.838207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.470031Z digest=sha256:82c51e70d2d253771569e538d84102397fa445c47e985a67bb8e35a7a7a2203e

Observation 5c0e14cc-df3d-48c5-b117-442ee8bacec2 · outbound

This paper cites Koblitz, Elliptic curve cryptosystems.

Integer Factorization: Another perspective Koblitz, Elliptic curve cryptosystems

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:39.828643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.473217Z digest=sha256:06b736641aa991b5de09e83b8c40173b6d60bce6ae35337a4ba841f4e04a2bcb

Observation 2bad90f4-e306-45eb-80d0-d5969e22d843 · outbound

This paper cites an unresolved cited work.

Integer Factorization: Another perspective Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:55:39.818643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.476511Z digest=sha256:48f626236cb9bc23d85911b783d232d5e78d9cd62753e3dacf2e2346709852dc

Observation f49c0594-ac27-470a-b79f-89f7bcd030e5 · outbound

This paper cites (2014) Fast Point Multi- plication Algorithms for Binary Elliptic Curves with and without Precomputation.

Integer Factorization: Another perspective (2014) Fast Point Multi- plication Algorithms for Binary Elliptic Curves with and without Precomputation

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:39.808246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.479882Z digest=sha256:6078708349aef4d02fe57cd865876db30ed735615220eb923c46adfdd8fe8029

Observation 9fa74a46-be77-4b99-be97-ed3b8ed38b3f · outbound

This paper cites Zimmermann et al.

Integer Factorization: Another perspective Zimmermann et al

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:39.785522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.486315Z digest=sha256:30187f698d93d5297009bbdc24757b1b34cacb669f8c676726e8f4e54f3e13fe

Observation 7e7fb4b7-c5bf-4ef6-ab6f-6c296e7af36f · outbound

This paper cites Summing up the Euler Φ function.

Integer Factorization: Another perspective Summing up the Euler Φ function

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:39.773129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.489246Z digest=sha256:6fc46b857f6e9786df59fe116fc1b18ac98c50a0e4eb257ec39fa7656d6ed03e

Observation e8e09afe-fe2b-4b73-82dd-1d81f8b4751b · outbound

This paper cites an unresolved cited work.

Integer Factorization: Another perspective Unresolved cited work

Reference 61

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:55:39.763035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.492472Z digest=sha256:b7e29b22d1233b97736bac6ccfa0f6adb286cdcaaa99a10d63f700875c729e18

Observation 69b674ce-8c50-4ea8-bfee-f4803e53aae0 · outbound

This paper cites Speeding the Pollard and elliptic curve methods of factor- ization,Mathematics of computation, 48(177):243–264, 1987.

Integer Factorization: Another perspective Speeding the Pollard and elliptic curve methods of factor- ization,Mathematics of computation, 48(177):243–264, 1987

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:39.752420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.495465Z digest=sha256:130d835bcd1d59cd237b44b91fb08e6de6813e9add34c330b7bed7f03a7fb66d

Observation bf490cb5-efbd-4e3c-85b4-f3294904ab9f · outbound

This paper cites an unresolved cited work.

Integer Factorization: Another perspective Unresolved cited work

Reference 63

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:55:39.742506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.498441Z digest=sha256:9469f2ced50b1f4d3f7f30562395607fdf9f6a51144b69198d4294a206e0ded4

Observation fa9d236e-4405-4cf6-ada5-2cbf9f086379 · outbound

This paper cites Finding ECM-friendly curves through a study of Galois properties.

Integer Factorization: Another perspective Finding ECM-friendly curves through a study of Galois properties

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:39.732850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.501498Z digest=sha256:24ddc3405b3e0bce85f227a92375b2252228647e942397da364267aec3b75cfc

Observation 9bd7190f-d50b-4608-ada3-20879237b9ed · outbound

This paper cites Brent, Recent Progress and Prospects for Integer Factorization Algo- rithms, Oxford University Computing Laboratory , Wolfson Building, Parks Road, http://www.comlab.ox.ac.uk.

Integer Factorization: Another perspective Brent, Recent Progress and Prospects for Integer Factorization Algo- rithms, Oxford University Computing Laboratory , Wolfson Building, Parks Road, http://www.comlab.ox.ac.uk

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:39.723183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.505296Z digest=sha256:5ce92c9549548866f4be0ac13eb5f0a97e1453ec9d3c2f6962a61590fcec89f4

Observation 00b996ea-4cae-47cb-bd76-8b29755c5b77 · outbound

This paper cites Goldwasser, J.

Integer Factorization: Another perspective Goldwasser, J

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:39.713331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.508559Z digest=sha256:10fbb5e2d08eed15333f8297c9e7046634d8d057fa3a30a0203f666cea99c3bf

Observation 50408dd3-ab57-406f-b657-3553ad71cb7d · outbound

This paper cites Goldwasser, J.

Integer Factorization: Another perspective Goldwasser, J

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:39.703477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.511756Z digest=sha256:49fabfd568c5007959f7df94fea885109305d2248babae2eb317199057aa6e56

Observation 0045e5da-4175-473c-ada6-4ebd43512b31 · outbound

This paper cites Lang (1966), Introduction to Diophantine Approximations, Addison-Wesley Pub.

Integer Factorization: Another perspective Lang (1966), Introduction to Diophantine Approximations, Addison-Wesley Pub

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:39.692937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.515036Z digest=sha256:249d522393520e7adfbbdd7e7dbc993f8421aef2f940e4a1f16372c2455f0434

Observation c093e64b-596b-43e9-9f44-b56ab26473ff · outbound

This paper cites An arithmetic function arising from the Φ function.

Integer Factorization: Another perspective An arithmetic function arising from the Φ function

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:39.682415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.518144Z digest=sha256:a48e058a012d35a350d5d6f271e17d90009b535720c84a62312011831fe39938

Observation e97186af-59c0-4b9d-9560-23ec58173633 · outbound

This paper cites an unresolved cited work.

Integer Factorization: Another perspective Unresolved cited work

Reference 70

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:55:39.672226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.521998Z digest=sha256:447dfe796f534943858b641d6f25027578ea69c43754828f8c0bbf984c1a7c30

Observation fea32218-9271-4a03-9cf3-7954f2532281 · outbound

This paper cites CADO-NFS, An Implementation of the Num- ber Field Sieve Algorithm , Release 2.3.0, 2017,http://cado-nfs.gforge.inria.fr/.

Integer Factorization: Another perspective CADO-NFS, An Implementation of the Num- ber Field Sieve Algorithm , Release 2.3.0, 2017,http://cado-nfs.gforge.inria.fr/

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:39.662366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.525333Z digest=sha256:1abdd91c6aec9a3a08de1a3586fe4d4a542578db68d77142a43ed37a43b148ed

Observation 6db74611-3de0-4221-8ebe-433e99dae554 · outbound

This paper cites Miller, Use of elliptic curves in cryptography.

Integer Factorization: Another perspective Miller, Use of elliptic curves in cryptography

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:39.651392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.528661Z digest=sha256:b9e9f2e8b3da2c69e85323689bba9bccf4292e33672a089ee3f178d9eb77b1b8

Observation c8ded2c0-0bf5-4712-a8ca-c13c2f237320 · outbound

This paper cites On quadratic curves over finite fields.

Integer Factorization: Another perspective On quadratic curves over finite fields

Reference 73

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:55:39.630418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.532096Z digest=sha256:8d822d682dfec49ccf4557753d1b9f146b4473b95774be5d82ace132487e167f

Observation 12d3b2f2-c225-43d5-a21d-3a4026dc2401 · outbound

This paper cites an unresolved cited work.

Integer Factorization: Another perspective Unresolved cited work

Reference 74

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:55:39.640966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.535855Z digest=sha256:dd2f34a763fb17934842439864b3be322eb5f5b79b9f93643b768888e76149cf

Observation 649df8f3-840c-4ce4-89e2-afa178cbcb89 · outbound

This paper cites Springer, Berlin, Heidelberg.

Integer Factorization: Another perspective Springer, Berlin, Heidelberg

Reference 2007

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:40.241246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.313987Z digest=sha256:5a6f8dea04692a6cad86890fdcee2c4debdcf8a30b6343a5fa94c7dc200ca6bd

Observation 2684f86b-38d3-4120-9ba8-8a8968950f49 · outbound

This paper cites Springer.

Integer Factorization: Another perspective Springer

Reference 2014

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:55:39.796968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.483339Z digest=sha256:a02f94cb1a70f24eca5876a9afd3f84550fb4a80093c23c866ccd2de5bc09d8e

Observation eaaa0e7e-e4b5-409c-bce1-9f5a1741734b · outbound

This paper cites an unresolved cited work.

Integer Factorization: Another perspective Unresolved cited work

Reference 2022

Resolution
verified exact
doi, observed 2026-08-06T18:55:39.616135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:55:39.404579Z digest=sha256:ab9a254fae2138e51bb01146d609714d4258e1aa18dc96f607f64db2f3b9fa35

Pith citing papers

No inbound Pith citation observations are available.