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Paper Citation Record · LEDGER

On the success probability of the quantum algorithm for the short DLP

As of 8 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2309.01754.

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

pith.paper-citation-record.v1
2309.01754 v4

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-24T06:34:36.168960Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

39 of 39 outbound references displayed

  • verified exact2
  • verified fuzzy34
  • unresolved2
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 79dcf860-ef36-4a75-878f-c2b0b59b5413 · outbound

This paper cites Babai: On Lov´ asz’ lattice reduction and the nearest lattice point problem.

On the success probability of the quantum algorithm for the short DLP Babai: On Lov´ asz’ lattice reduction and the nearest lattice point problem

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:891d8eca8957eed5bf3a22f3ab902700a0873f7390d99a387c6b13b84c7acdb9

Observation 560b8b27-ca41-4671-a7ac-f1772244ca99 · outbound

This paper cites Barker et al.: NIST SP 800-56A: Recommendation for Pair-Wise Key- Establishment Schemes Using Discrete Logarithm Cryptography, rev.

On the success probability of the quantum algorithm for the short DLP Barker et al.: NIST SP 800-56A: Recommendation for Pair-Wise Key- Establishment Schemes Using Discrete Logarithm Cryptography, rev

Reference 2

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source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:7315124f5e0eaaf30dc2c9721f78e7b4f37845a2500e1ef64cb24ca2589419eb

Observation b9e9398e-e315-4a5b-a728-e7e132f2c83a · outbound

This paper cites Diffie and M.E.

On the success probability of the quantum algorithm for the short DLP Diffie and M.E

Reference 3

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source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:1b1b6b60a13538cc3c24e769186e14d31b104e0297876d53a8dda9dc04a80b2c

Observation 4e42bde8-7ac4-4824-b986-cc0207d230ed · outbound

This paper cites Eker˚ a: Modifying Shor’s algorithm to compute short discrete logarithms.

On the success probability of the quantum algorithm for the short DLP Eker˚ a: Modifying Shor’s algorithm to compute short discrete logarithms

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:f0c94332d99110ecc2a8720a99f9c58970708ae30b6d7588e18973c716310859

Observation b3d25f90-b676-4541-a74c-775ed2e4951f · outbound

This paper cites Eker˚ a and J.

On the success probability of the quantum algorithm for the short DLP Eker˚ a and J

Reference 5

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Source-reported events for the cited work

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source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:525807cec30e3f557afdeef457da1e41a68475b7f8f16c5ffec5f9cbddb4c135

Observation 7c712062-f8a7-4217-9f99-ec2f1d5bb5e4 · outbound

This paper cites Eker˚ a: On post-processing in the quantum algorithm for computing short discrete logarithms.

On the success probability of the quantum algorithm for the short DLP Eker˚ a: On post-processing in the quantum algorithm for computing short discrete logarithms

Reference 6

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Source-reported events for the cited work

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source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:74f07b7ded304da228a2646f34a52760c3030163f39c4c701387463d3841f004

Observation 61f8d1c1-a7af-4add-bbf7-9cb9965c12a7 · outbound

This paper cites Eker˚ a: Quantum algorithms for computing general discrete logarithms and orders with tradeoffs.

On the success probability of the quantum algorithm for the short DLP Eker˚ a: Quantum algorithms for computing general discrete logarithms and orders with tradeoffs

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:6f1be994cb870df0588e1c16fbbdbb637075cba07092286e80cd02179bb5aa19

Observation aea54759-4661-444b-99fd-f2ab43e92091 · outbound

This paper cites Eker˚ a: On the success probability of quantum order finding.

On the success probability of the quantum algorithm for the short DLP Eker˚ a: On the success probability of quantum order finding

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:7709078746b6194048e112a313a038870ce0ecf01ff168a9025efad2d0642db9

Observation de2b75e1-99e3-482a-b930-c1a7e38871af · outbound

This paper cites Eker˚ a: Revisiting Shor’s quantum algorithm for computing general discrete logarithms.

On the success probability of the quantum algorithm for the short DLP Eker˚ a: Revisiting Shor’s quantum algorithm for computing general discrete logarithms

Reference 9

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arxiv_id, observed 2026-05-24T06:36:01.908791Z

Source-reported events for the cited work

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source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:a9c3821039fb73ca9b38f66f2359842a17a473fe649bd398d10feee71098b492

Observation e23f84b2-50de-4ac0-ba06-3a81cad8e3ca · outbound

This paper cites Eker˚ a: On factoring integers, and computing discrete logarithms and or- ders, quantumly.

On the success probability of the quantum algorithm for the short DLP Eker˚ a: On factoring integers, and computing discrete logarithms and or- ders, quantumly

Reference 10

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source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:66cc05580a6ca3211af069c66d79fdf9b826f1efa20cb1118b9f214c91fa169e

Observation cdbc3a3c-abdf-4c2f-8d05-3c471bce736c · outbound

This paper cites Windowed quantum arithmetic.

On the success probability of the quantum algorithm for the short DLP Windowed quantum arithmetic

Reference 11

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local_arxiv, observed 2026-05-24T06:36:01.903573Z

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source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:2bd3f9da794e49f0abc0a00af24fd221610ce9e714aa60dab70c7ce4649e9ddd

Observation 666fbd81-a3f7-4d4e-96d6-9bd641b2a040 · outbound

This paper cites Gillmor: RFC 7919: Negotiated Finite Field Diffie-Hellman Ephemeral Parameters for Transport Layer Security (TLS) (2016).

On the success probability of the quantum algorithm for the short DLP Gillmor: RFC 7919: Negotiated Finite Field Diffie-Hellman Ephemeral Parameters for Transport Layer Security (TLS) (2016)

Reference 12

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source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:9c1e45bbb2b65715d60c40b8f7020b7209f3e57d5b35b465cae23b2bac127b60

Observation 80497edf-e32c-4b81-894e-6f4e504f99a8 · outbound

This paper cites Gordon: Discrete logarithms in GF( p) using the number field sieve.

On the success probability of the quantum algorithm for the short DLP Gordon: Discrete logarithms in GF( p) using the number field sieve

Reference 13

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source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:a75fa20005e0b5bfb4746eb4981c638fa91c9d5d86ff2e98b0ee3c474aec81c6

Observation 09c21e50-40b1-4db3-ba40-06ebe16772ec · outbound

This paper cites Griffiths and C.-S.

On the success probability of the quantum algorithm for the short DLP Griffiths and C.-S

Reference 14

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source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:929ac2dc43cf3bb562a638063dac36c16f38b68704577c4293fca55acef0214b

Observation 696213e3-1673-496a-a02b-ea7710ea740e · outbound

This paper cites Kivinen and M.

On the success probability of the quantum algorithm for the short DLP Kivinen and M

Reference 15

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:cbef2a9e8fa2c323a0f163ac62cb5532a970046ce54320c4506b6b64368a8692

Observation fd19e502-96cc-45e2-b401-2fd827e650a8 · outbound

This paper cites an unresolved cited work.

On the success probability of the quantum algorithm for the short DLP Unresolved cited work

Reference 16

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source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:a616633f7c6bc23104f3709a70111c5249fe7c2f3c8d4a661961304ae2534219

Observation fd50cadf-14cf-46d9-8761-1c4bd5b00388 · outbound

This paper cites Lenstra, H.W.

On the success probability of the quantum algorithm for the short DLP Lenstra, H.W

Reference 17

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source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:961a118be5eccccc9b4d6b4cd645f53825283ce1f193185d55398c708b847e21

Observation 7a5093f3-98c3-445d-bd24-481bcfbba1af · outbound

This paper cites Lenstra, H.W.

On the success probability of the quantum algorithm for the short DLP Lenstra, H.W

Reference 18

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source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:0552f11bdee4110c1377956cc07f145c276f4a86047c2025ea015e904780647e

Observation 99c6ec56-bd97-43fd-85f8-37c5440157a8 · outbound

This paper cites Van Meter and K.M.

On the success probability of the quantum algorithm for the short DLP Van Meter and K.M

Reference 19

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:8e49a7b188a586dc53124a041c50e2bb6ccff89c76d9f781970172929c5e9245

Observation a8b521aa-0e23-4a23-a359-6e8f4e857cca · outbound

This paper cites Van Meter: Architecture of a Quantum Multicomputer Optimized for Shor’s Factoring Algorithm.

On the success probability of the quantum algorithm for the short DLP Van Meter: Architecture of a Quantum Multicomputer Optimized for Shor’s Factoring Algorithm

Reference 20

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source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:f8e3235466c931326e1e507c72b08e1e5738b97ef703763572a7fb940604744b

Observation a7f0e9ae-5805-4c77-bd04-c7faece0de6b · outbound

This paper cites Mosca and A.

On the success probability of the quantum algorithm for the short DLP Mosca and A

Reference 21

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source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:5f8dbc9b32bbd584f515bd3f680cd5a459a5858b65bb75032815a99cb19bbc6c

Observation a8d143df-113b-494c-b7ed-4a7388910f49 · outbound

This paper cites Nemes: Error bounds for the asymptotic expansion of the Hurwitz zeta function.

On the success probability of the quantum algorithm for the short DLP Nemes: Error bounds for the asymptotic expansion of the Hurwitz zeta function

Reference 22

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source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:dec24750fcd074d89e3af11b12f807bd92d8c80f890b22c35e922472bb58263f

Observation d5c35557-7da9-4926-b14b-1d7efdc3b200 · outbound

This paper cites Nguyen: Hermite’s Constant and Lattice Algorithms.

On the success probability of the quantum algorithm for the short DLP Nguyen: Hermite’s Constant and Lattice Algorithms

Reference 23

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source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:5fc96b33dbb74afe6cd7ec27d5e18f3930d12d6d5406828d1bb59c5e6501bc50

Observation d0f75117-3d18-4228-b90c-12aa6c621ed0 · outbound

This paper cites (Dated: March 17, 2023).

On the success probability of the quantum algorithm for the short DLP (Dated: March 17, 2023)

Reference 24

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:786e581f910fb5b4a989d5614d51cadbb5bf38bffe4be5eb8a47bd948d29b12f

Observation 7d902a2a-b9e1-4d7a-8ac7-f43c8cd879e2 · outbound

This paper cites Parker and M.B.

On the success probability of the quantum algorithm for the short DLP Parker and M.B

Reference 25

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source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:61a668ab458d197e119939fb5e9350dbabab463c34ee24aa588bf2abcf8a315d

Observation 8fa6b5d2-ca80-4a69-8cae-a7173cb3ae09 · outbound

This paper cites Pollard: Monte Carlo Methods for Index Computation (mod p).

On the success probability of the quantum algorithm for the short DLP Pollard: Monte Carlo Methods for Index Computation (mod p)

Reference 26

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:9397c6b256b2d6dd39b569800036ccee6f25ae78afb71450b09fbabc8207ac49

Observation f645d0b1-b0c9-4881-ab7c-f650381362aa · outbound

This paper cites Rivest, A.

On the success probability of the quantum algorithm for the short DLP Rivest, A

Reference 27

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:aebe6b090996aa1572148a5906967d426bc7968f2e37dbaaaa0a101bd397c6f3

Observation 988b3704-5c1a-4b60-8d96-7ebf3fe68c9f · outbound

This paper cites Schirokauer: Discrete logarithms and local units.

On the success probability of the quantum algorithm for the short DLP Schirokauer: Discrete logarithms and local units

Reference 28

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raw_fallback, observed 2026-05-24T06:36:02.698021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:3a431b0c6c507c0927f317cba1296b0617ece3d2342a76c391ff6fea31d3bc90

Observation b6970d77-531f-46fd-9fac-7aebc712217a · outbound

This paper cites Seifert: Using Fewer Qubits in Shor’s Factorization Algorithm via Si- multaneous Diophantine Approximation.

On the success probability of the quantum algorithm for the short DLP Seifert: Using Fewer Qubits in Shor’s Factorization Algorithm via Si- multaneous Diophantine Approximation

Reference 29

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raw_fallback, observed 2026-05-24T06:36:02.705624Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:ffe19413cd92c53f76594aa76845601a555cf46174c2a7ebb62aec7c17bbca69

Observation 84c93d22-b462-4263-aa2d-738bab60089a · outbound

This paper cites Shanks: Class number, a theory of factorization, and genera.

On the success probability of the quantum algorithm for the short DLP Shanks: Class number, a theory of factorization, and genera

Reference 30

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raw_fallback, observed 2026-05-24T06:36:02.611857Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:a6837bd857c2f06b8de6af18f48c642c598d756c852b440aa72dd5209184de83

Observation 3a5659cb-66fe-419a-87e7-cc6d8125f831 · outbound

This paper cites Shor: Algorithms for Quantum Computation: Discrete Logarithms and Factoring.

On the success probability of the quantum algorithm for the short DLP Shor: Algorithms for Quantum Computation: Discrete Logarithms and Factoring

Reference 31

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raw_fallback, observed 2026-05-24T06:36:02.608231Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:815a78570a9fe7f8b053c152621810fdc73e734225a7b5f8c9d63e034f07d45a

Observation fcc95a45-1b40-49e5-946a-da66201c489e · outbound

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

On the success probability of the quantum algorithm for the short DLP Shor: Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer

Reference 32

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:95190b016eb6c083d8bdcc731b6a42938ef42c90085238f427cb84be01c70046

Observation b875e2db-31e6-418c-ade1-dd3e807cf97c · outbound

This paper cites Let g1 ← gs1, g2 ← gs2 and w = gν1 1 · gν2 2 · x−1.

On the success probability of the quantum algorithm for the short DLP Let g1 ← gs1, g2 ← gs2 and w = gν1 1 · gν2 2 · x−1

Reference 33

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:e11e4fb870d84579337094b880ed012f13bdb9664d1cbbbbf110e3ea2fefd30f

Observation cd672388-6461-4d28-927a-92d84166a56e · outbound

This paper cites an unresolved cited work.

On the success probability of the quantum algorithm for the short DLP Unresolved cited work

Reference 34

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:298d7be740d7f174601294f79b4b38c9b7c1148519cfeaf27d755a1d36937e5b

Observation 8d13de1f-a9e6-42c3-a38f-7d825bef2982 · outbound

This paper cites Note: The basis (s1, s2) may be found with Lagrange’s algorithm, see [16, 23].

On the success probability of the quantum algorithm for the short DLP Note: The basis (s1, s2) may be found with Lagrange’s algorithm, see [16, 23]

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T06:36:02.712359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:65b469a916c761bd1eceedbbf86ce84f7ed3eb01a7efda0f283bfd699a48da44

Observation a7e53bac-c79d-44ca-8aa9-92a5c003a9f3 · outbound

This paper cites Let s= 2 = µ · s1 be the component of s2 parallel to s1, and let s⊥ 2 = s2 − s= 2 of norm λ⊥ 2 be the component of s2 orthogonal to s1.

On the success probability of the quantum algorithm for the short DLP Let s= 2 = µ · s1 be the component of s2 parallel to s1, and let s⊥ 2 = s2 − s= 2 of norm λ⊥ 2 be the component of s2 orthogonal to s1

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T06:36:02.596938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:611112143e44f2bdaf4248dd962540ee488191c3e5c3993a8bcdf595a2364b82

Observation c29c6d2e-cd11-41d5-b47b-e487c3c496f0 · outbound

This paper cites Let ν1 and ν2 be integers such that o = ν1s1 + ν2s2.

On the success probability of the quantum algorithm for the short DLP Let ν1 and ν2 be integers such that o = ν1s1 + ν2s2

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T06:36:02.591412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:68e998ee2c510702dff48080090e50fdd416da6f9ae0aecca655153e8c73b476

Observation 6c8e98fa-773f-4ef0-841d-a715ac363006 · outbound

This paper cites Note: It holds that B1 ≥ 1 and 2B1 > B2 ≥ 0, see Cl.

On the success probability of the quantum algorithm for the short DLP Note: It holds that B1 ≥ 1 and 2B1 > B2 ≥ 0, see Cl

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T06:36:02.580262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:ed253cda459ac4b7f2405ec22dbfb9ccef8a421be8c774718211c2cb62994ab2

Observation 09bd6f07-8fc8-4444-9642-0d6edd0745e6 · outbound

This paper cites off-drift.

On the success probability of the quantum algorithm for the short DLP off-drift

Reference 39

Resolution
malformed identifier
raw_fallback, observed 2026-05-24T06:36:02.587658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T06:34:36.168960Z digest=sha256:5904dd92712597412412c838ab7170937c5d917ff96b4e26413a6bdc510b04f8

Pith citing papers

No inbound Pith citation observations are available.