Paper Citation Record · LEDGER

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation

As of 6 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 2 inbound Pith citation observations for arXiv:2604.02311.

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

pith.paper-citation-record.v1
2604.02311 v2

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-13T21:21:29.289463Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T02:52:48.363343Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-06-29T11:43:24.266139Z

Reference resolution

41 of 41 outbound references displayed

verified exact26
verified fuzzy9
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch4

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5858d953-6fed-4d0c-bff3-75aeba16fb0d · outbound

This paper cites IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 32(6), pp.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 32(6), pp

Reference 1

Resolution: metadata mismatch; arxiv_id, observed 2026-05-13T21:23:17.013107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 3af65004-a5b2-489e-b547-63d3f5138c75 · outbound

This paper cites Bernstein, Iggy van Hoof, and Tanja Lange.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Bernstein, Iggy van Hoof, and Tanja Lange

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T23:53:29.767740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 96cc9535-02ba-4bbf-a8e4-e9edd2e2b3da · outbound

This paper cites NIST special publication 800-57 part 1, revision 5, recommendation for key management: P art 1--general.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation NIST special publication 800-57 part 1, revision 5, recommendation for key management: P art 1--general

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T23:53:29.758979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation ba87ab67-dfa3-449c-a155-e95b20d7945b · outbound

This paper cites Elliptic curve cryptography (ECC) cipher suites for transport layer security (TLS).

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Elliptic curve cryptography (ECC) cipher suites for transport layer security (TLS)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T23:53:29.732204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 3ff162c3-df46-4841-9a0f-152696b5ce53 · outbound

This paper cites an unresolved cited work.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-05-13T23:53:29.802904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation d8744de6-382c-40e6-8fe0-411912099df2 · outbound

This paper cites Securing Elliptic Curve Cryptocurrencies against Quantum Vulnerabilities: Resource Estimates and Mitigations.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Securing Elliptic Curve Cryptocurrencies against Quantum Vulnerabilities: Resource Estimates and Mitigations

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-05-13T21:23:17.426986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation f302d613-e88e-424d-849b-2aed54337af7 · outbound

This paper cites A new quantum ripple-carry addition circuit.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation A new quantum ripple-carry addition circuit

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-05-13T21:23:17.410555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation e6223440-4f95-4044-99eb-42941e90b578 · outbound

This paper cites Reducing the number of qubits in quantum factoring.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Reducing the number of qubits in quantum factoring

Reference 8

Resolution: verified exact; doi, observed 2026-05-13T21:23:17.042403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 53e79782-4a4e-4c08-aa28-5ddd159b7859 · outbound

This paper cites Reducing the number of qubits in quantum discrete logarithms on elliptic curves.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Reducing the number of qubits in quantum discrete logarithms on elliptic curves

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T23:53:29.736858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation e94ed19c-9ddd-44c2-9e11-cd1ecb69ed86 · outbound

This paper cites Childs and Wim van Dam.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Childs and Wim van Dam

Reference 10

Resolution: verified exact; doi, observed 2026-05-13T21:23:17.050793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 8a03b248-f5f7-43a7-89eb-7ab1b55e3ac7 · outbound

This paper cites an unresolved cited work.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Unresolved cited work

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-13T21:23:17.044802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 99656b73-9fdd-48ea-9484-53ac6269ad89 · outbound

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

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Eker˚ a: Revisiting Shor’s quantum algorithm for computing general discrete logarithms

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-13T21:23:17.420193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation aa3b856e-34e7-4132-9e30-9ddc7e842c70 · outbound

This paper cites A public key cryptosystem and a signature scheme based on discrete logarithms.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation A public key cryptosystem and a signature scheme based on discrete logarithms

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-13T21:23:17.022992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation d58da863-2e6c-414b-94ab-ec305ae6ed4f · outbound

This paper cites Fowler, Matteo Mariantoni, John M.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Fowler, Matteo Mariantoni, John M

Reference 14

Resolution: verified exact; doi, observed 2026-05-13T21:23:17.006448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 53bbbfe9-a6dc-4691-a2f9-f2a0d1eedfd0 · outbound

This paper cites Quantum 5, 433 (2021) https://doi.org/10.22331/q-2021-04-15-433.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Quantum 5, 433 (2021) https://doi.org/10.22331/q-2021-04-15-433

Reference 15

Resolution: metadata mismatch; doi, observed 2026-05-13T21:23:17.008436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 6b39a6e0-1df8-4a9a-b27c-1b7a54303a7d · outbound

This paper cites Galbraith and Pierrick Gaudry.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Galbraith and Pierrick Gaudry

Reference 16

Resolution: verified exact; doi, observed 2026-05-13T21:23:17.034717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 6f1127d9-d1cf-48db-a91d-6259c7f68f8c · outbound

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

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation How to factor 2048 bit RSA integers with less than a million noisy qubits

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-05-13T21:23:17.413765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation a520d972-6c4f-4922-9092-ad34c44004d8 · outbound

This paper cites Griffiths and Chi-Sheng Niu.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Griffiths and Chi-Sheng Niu

Reference 18

Resolution: verified exact; doi, observed 2026-05-13T21:23:16.998972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 8c7fb4f4-3b57-4f59-bee9-6d3829bbe620 · outbound

This paper cites Resource analysis of S hor's elliptic curve algorithm with an improved quantum adder on a two-dimensional lattice.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Resource analysis of S hor's elliptic curve algorithm with an improved quantum adder on a two-dimensional lattice

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-05-13T21:23:17.423415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation a7200a4d-f832-435e-9cb3-2df9b0f58a17 · outbound

This paper cites Zur theorie der abstrakten elliptischen Funktionenk \"o rper II.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Zur theorie der abstrakten elliptischen Funktionenk \"o rper II

Reference 20

Resolution: verified exact; doi, observed 2026-05-13T21:23:17.000912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 07320ab2-a5d1-45ae-b919-f3427f1a3115 · outbound

This paper cites Improved quantum circuits for elliptic curve discrete logarithms.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Improved quantum circuits for elliptic curve discrete logarithms

Reference 21

Resolution: verified exact; doi, observed 2026-05-13T21:23:17.046720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 62471636-e29e-44fb-99d4-e0115be09ff7 · outbound

This paper cites an unresolved cited work.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Unresolved cited work

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-05-13T21:23:17.018845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation c5643126-f086-4504-9674-f4ba30ed394b · outbound

This paper cites Optimized implementation of quantum binary field multiplication with T offoli depth one.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Optimized implementation of quantum binary field multiplication with T offoli depth one

Reference 23

Resolution: verified exact; doi, observed 2026-05-13T21:23:17.030208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 953b907f-c6ab-45ac-b659-157111f0eb59 · outbound

This paper cites International Journal of Information Security1(1), 36–63 (2001).https://doi.org/10.1007/s102070100002 26 S.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation International Journal of Information Security1(1), 36–63 (2001).https://doi.org/10.1007/s102070100002 26 S

Reference 24

Resolution: metadata mismatch; doi, observed 2026-05-13T21:23:17.028271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 063946cd-c010-4684-ad71-c4412a5182c8 · outbound

This paper cites New quantum cryptanalysis of binary elliptic curves (extended version).

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation New quantum cryptanalysis of binary elliptic curves (extended version)

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T23:53:29.773142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 431d0e56-8663-404a-80ac-4b57464e9146 · outbound

This paper cites New quantum circuits for ECDLP : Breaking prime elliptic curve cryptography in minutes.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation New quantum circuits for ECDLP : Breaking prime elliptic curve cryptography in minutes

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T23:53:29.725673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 2800406e-de81-42ec-97b8-bbd1be1ad056 · outbound

This paper cites Stochastic Matching via In-n-Out Local Computation Algorithms , booktitle =.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Stochastic Matching via In-n-Out Local Computation Algorithms , booktitle =

Reference 27

Resolution: metadata mismatch; arxiv_id, observed 2026-05-13T21:23:17.037655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 9793c3e0-5155-4b8f-a6aa-7b9e635de828 · outbound

This paper cites Elliptic curve cryptosystems.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Elliptic curve cryptosystems

Reference 28

Resolution: verified exact; doi, observed 2026-05-13T21:23:16.995829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 68ab6c6d-1037-4fed-ae15-11707493142b · outbound

This paper cites Verifiable quantum advantage via optimized dqi circuits.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Verifiable quantum advantage via optimized dqi circuits

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-05-13T21:23:17.416828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 8890a4c0-df76-4908-8559-fc7f5d332ac1 · outbound

This paper cites an unresolved cited work.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Unresolved cited work

Reference 30

Resolution: verified exact; doi, observed 2026-05-13T21:23:17.010425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 1d404b9c-f584-472c-b932-aaa21e24948d · outbound

This paper cites an unresolved cited work.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-05-13T23:53:29.763164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation c4efe7d3-691a-4b8c-9cdb-7bc778fc4b4b · outbound

This paper cites Nielsen and Isaac L.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Nielsen and Isaac L

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T23:53:29.779103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 0260f43e-9eac-4b30-8593-ad5c3b801007 · outbound

This paper cites Another concrete quantum cryptanalysis of binary elliptic curves.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Another concrete quantum cryptanalysis of binary elliptic curves

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T23:53:29.784020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation a20000a0-cc0f-4c81-b5f5-7737514bbf05 · outbound

This paper cites Shor's discrete logarithm quantum algorithm for elliptic curves.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Shor's discrete logarithm quantum algorithm for elliptic curves

Reference 34

Resolution: verified exact; arxiv_id, observed 2026-05-13T21:23:17.032898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation ba49dc95-3d56-4c9b-8a52-ffe8fbe88902 · outbound

This paper cites An efficient quantum factoring algorithm.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation An efficient quantum factoring algorithm

Reference 35

Resolution: verified exact; doi, observed 2026-05-13T21:23:17.048843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 135ba78f-aee1-4b5a-9827-632f042ff646 · outbound

This paper cites Svore, and Kristin Lauter.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Svore, and Kristin Lauter

Reference 36

Resolution: verified exact; doi, observed 2026-05-13T21:23:17.015052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 325d2ffb-36ea-41db-8f72-eeac40173184 · outbound

This paper cites Rivest, Adi Shamir, and Leonard Adleman.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Rivest, Adi Shamir, and Leonard Adleman

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-05-13T21:23:17.003851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation e5aaa282-052e-4b94-83c6-f4697095f4cc · outbound

This paper cites Space-efficient and noise-robust quantum factoring.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Space-efficient and noise-robust quantum factoring

Reference 38

Resolution: verified exact; doi, observed 2026-05-13T21:23:17.025301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation fd38b181-8d9d-4e54-86db-40f8c2ff6ce0 · outbound

This paper cites Elliptic curve algorithm integration in the secure shell transport layer.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Elliptic curve algorithm integration in the secure shell transport layer

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T23:53:29.750845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 2fe3381a-25cd-4656-8fcb-6bd3b7d62d42 · outbound

This paper cites In: Pro- ceedings 35th Annual Symposium on Foundations of Computer Science, pp.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation In: Pro- ceedings 35th Annual Symposium on Foundations of Computer Science, pp

Reference 40

Resolution: verified exact; arxiv_id, observed 2026-05-13T21:23:17.040421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 57033461-7bfe-4b78-87ca-a783b0bd8ed8 · outbound

This paper cites Concrete quantum cryptanalysis of binary elliptic curves via addition chain.

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation Concrete quantum cryptanalysis of binary elliptic curves via addition chain

Reference 41

Resolution: verified exact; doi, observed 2026-05-13T21:23:16.993664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Pith citing papers

Observation 46f2feb5-5968-4198-9bfc-a113f623777b · inbound

Hardware-Tailored Resource Estimation for Magic-State Distillation on Silicon Spin Qubits cites this paper.

Hardware-Tailored Resource Estimation for Magic-State Distillation on Silicon Spin Qubits Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation

Reference 209

Resolution: verified exact; local_arxiv, observed 2026-06-29T11:43:24.267615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 2261c965-aa31-40b6-91a0-7deac5474b75 · inbound

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 cites this paper.

Building Shor's Algorithm in Lean: An Agentic Formalization of Quantum Attacks on RSA-2048 and P-256 Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-02T02:52:48.363343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.