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Paper Citation Record · LEDGER

Quantum Algorithm for Elliptic Curve Discrete Logarithms with Space-Efficient Point Addition

As of 6 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2607.13816.

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

pith.paper-citation-record.v1
2607.13816 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T03:51:11.988605Z

measured 16 of 16 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 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

16 of 16 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved15
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 97214bb1-d9ee-419f-bac1-d8f423a28273 · outbound

This paper cites an unresolved cited work.

Quantum Algorithm for Elliptic Curve Discrete Logarithms with Space-Efficient Point Addition Unresolved cited work

Reference 1

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unresolved
no resolver link, observed 2026-08-02T03:51:10.368872Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:51:10.368872Z digest=sha256:a863151b8d116cccc7b9e4551ebc24a4f028fb4b70ab7d49a183813773032fdf

Observation a1dbdd88-50af-4a92-9fa2-8f439a4b6042 · outbound

This paper cites Zur theorie der abstrakten elliptischen Funktionenk¨ orper II.

Quantum Algorithm for Elliptic Curve Discrete Logarithms with Space-Efficient Point Addition Zur theorie der abstrakten elliptischen Funktionenk¨ orper II

Reference 7

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unresolved
no resolver link, observed 2026-08-02T03:51:10.798585Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:51:10.798585Z digest=sha256:5acbf5c7991ff954330a9ce0461a1dfa1eeac1fee4a68cc79f19325c94db39d6

Observation 266df475-2b61-4a80-a295-2433584c0175 · outbound

This paper cites an unresolved cited work.

Quantum Algorithm for Elliptic Curve Discrete Logarithms with Space-Efficient Point Addition Unresolved cited work

Reference 9

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unresolved
no resolver link, observed 2026-08-02T03:51:11.055935Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:51:11.055935Z digest=sha256:368f3960b30ebdbb0feeb922fd62d21ec6e67ef3a76dce8f4997dc0ed8465120

Observation 2bd92ff6-31ee-4659-a0c4-a1ffd25252fd · outbound

This paper cites Measurement-based Uncomputation Applied to Controlled Modular Multiplication.

Quantum Algorithm for Elliptic Curve Discrete Logarithms with Space-Efficient Point Addition Measurement-based Uncomputation Applied to Controlled Modular Multiplication

Reference 12

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unresolved
no resolver link, observed 2026-08-02T03:51:11.398305Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:51:11.398305Z digest=sha256:a91eac0ea21ffefa18d4ab89a45d2333b8a41855f2d503a7a2684cf0344469ca

Observation 68b5d347-cb45-4661-89d5-34a2ad79e29d · outbound

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

Quantum Algorithm for Elliptic Curve Discrete Logarithms with Space-Efficient Point Addition A Classical-Quantum Adder with Constant Workspace and Linear Gates

Reference 14

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unresolved
no resolver link, observed 2026-08-02T03:51:11.733172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:51:11.733172Z digest=sha256:fcfb3a220b651c47e4dceb06f14ec4048d94f362c77ab46c3f3928ca4d403712

Observation ab1b017b-d98e-452b-aacc-2390cf84b465 · outbound

This paper cites Optimized Point Addition Circuits for Elliptic Curve Discrete Logarithms.

Quantum Algorithm for Elliptic Curve Discrete Logarithms with Space-Efficient Point Addition Optimized Point Addition Circuits for Elliptic Curve Discrete Logarithms

Reference 15

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unresolved
no resolver link, observed 2026-08-02T03:51:11.861235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:51:11.861235Z digest=sha256:cc426f3f562bb8c06025a933085e85e96c9726065f5735b1567d942a2dfb17aa

Observation 1811d256-eb7f-4482-ae0b-f9cc377187cb · outbound

This paper cites AlphaEvolve: A coding agent for scientific and algorithmic discovery.

Quantum Algorithm for Elliptic Curve Discrete Logarithms with Space-Efficient Point Addition AlphaEvolve: A coding agent for scientific and algorithmic discovery

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-02T03:51:11.988605Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:51:11.988605Z digest=sha256:f9498efb9308300f73d68d5d363a533973d2d80049d5f6b476b0112adab89a4f

Observation ef42cb76-026c-4686-a95a-96ff4fe47c07 · outbound

This paper cites [JSB+25] Kyungbae Jang, Vikas Srivastava, Anubhab Baksi, Santanu Sarkar, and Hwajeong Seo.

Quantum Algorithm for Elliptic Curve Discrete Logarithms with Space-Efficient Point Addition [JSB+25] Kyungbae Jang, Vikas Srivastava, Anubhab Baksi, Santanu Sarkar, and Hwajeong Seo

Reference 2001

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unresolved
no resolver link, observed 2026-08-02T03:51:10.953190Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:51:10.953190Z digest=sha256:0d53283bb1bf22e7462e756b9e774d7bdc83ceb3edcd8bee75dbc2c565767ce1

Observation 866d48eb-5995-405e-9dcd-4293937e2d30 · outbound

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

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

Reference 2004

Resolution
unresolved
no resolver link, observed 2026-08-02T03:51:10.249644Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:51:10.249644Z digest=sha256:76a0924ebd5a0408eccfb4eb2dbd17f58d3cc4f274dedaf8f26cce08442966f8

Observation f44149a6-6aa5-4006-aa26-c9cfb30edc10 · outbound

This paper cites Another concrete quantum cryptanalysis of binary elliptic curves.Cryptology ePrint Archive, 2022.https://eprint.iacr.org/2022/501.

Quantum Algorithm for Elliptic Curve Discrete Logarithms with Space-Efficient Point Addition Another concrete quantum cryptanalysis of binary elliptic curves.Cryptology ePrint Archive, 2022.https://eprint.iacr.org/2022/501

Reference 2010

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no resolver link, observed 2026-08-02T03:51:11.142600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:51:11.142600Z digest=sha256:d5ea8d7a05daf0f9e1c7aa9feb2af5d3749765bc2d6ef9badc5a69356f82bda4

Observation c25a4739-06ce-4297-9e1d-8b9601e2367a · outbound

This paper cites 3The circuit first queries (x 2, y2), thenx 2, and finally (x 2, y2).

Quantum Algorithm for Elliptic Curve Discrete Logarithms with Space-Efficient Point Addition 3The circuit first queries (x 2, y2), thenx 2, and finally (x 2, y2)

Reference 2013

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unresolved
no resolver link, observed 2026-08-02T03:51:09.896165Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:51:09.896165Z digest=sha256:448b4b3c914cc4e20e8a97e1cdffe7b503495a694f1dae05f808917dfa59c3ca

Observation 1230ebd1-9608-44c0-b0ab-d6668728b428 · outbound

This paper cites A public key cryptosystem and a signature scheme based on discrete logarithms.IEEE Transactions on Information Theory, 31(4):469–472, 1985.https: //doi.org/10.1109/TIT.1985.1057074.

Quantum Algorithm for Elliptic Curve Discrete Logarithms with Space-Efficient Point Addition A public key cryptosystem and a signature scheme based on discrete logarithms.IEEE Transactions on Information Theory, 31(4):469–472, 1985.https: //doi.org/10.1109/TIT.1985.1057074

Reference 2019

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unresolved
no resolver link, observed 2026-08-02T03:51:10.496995Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:51:10.496995Z digest=sha256:560f8e0c8012b6e6506bff33e1a9a21a1318daf48036b867893899cfefaf0039

Observation 2a2b3a51-79a4-4476-8168-af4a71a89f99 · outbound

This paper cites Tight bounds on the spooky pebble game: Recycling qubits with measurements.Quantum, 9:1636, 2025.https: //doi.org/10.22331/q-2025-02-18-1636.

Quantum Algorithm for Elliptic Curve Discrete Logarithms with Space-Efficient Point Addition Tight bounds on the spooky pebble game: Recycling qubits with measurements.Quantum, 9:1636, 2025.https: //doi.org/10.22331/q-2025-02-18-1636

Reference 2021

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no resolver link, observed 2026-08-02T03:51:11.570034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:51:11.570034Z digest=sha256:b873c40ecc686b56ec62a80c8da3aacd78da8d22d59c97a8611c20f9e40e17b6

Observation e94635a7-35f9-409d-823e-ff9631cc07c6 · outbound

This paper cites 39 [SG09] Douglas Stebila and Jon Green.

Quantum Algorithm for Elliptic Curve Discrete Logarithms with Space-Efficient Point Addition 39 [SG09] Douglas Stebila and Jon Green

Reference 2024

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unresolved
no resolver link, observed 2026-08-02T03:51:11.270054Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:51:11.270054Z digest=sha256:d221bbeec961627d17ad8b939366e479c91c9dfed9a790119a5c6f10e66d5ada

Observation 5756b4f2-060c-4016-87ba-016ee76822aa · outbound

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

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

Reference 2025

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malformed identifier
no resolver link, observed 2026-08-02T03:51:10.631088Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:51:10.631088Z digest=sha256:38e08f29824f7aa0321477b04b4a0131505a4e96de2f75a3d1f9bce38737ad75

Observation 256197db-7824-46b7-97e4-bb0f9d00f565 · outbound

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

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

Reference 2026

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unresolved
no resolver link, observed 2026-08-02T03:51:10.082864Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:51:10.082864Z digest=sha256:909484e8fe0438e0d239b4695d5ef86c83777d1b4f88ed30430933f99f256801

Pith citing papers

No inbound Pith citation observations are available.