Paper Citation Record · LEDGER

QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography

As of 20 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2607.05973.

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

pith.paper-citation-record.v1
2607.05973 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-08T19:15:39.094634Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

22 of 22 outbound references displayed

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verified fuzzy20
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation abcfa37e-e771-4be6-9a7d-90a151572c73 · outbound

This paper cites Quantum annealing in the transverse Ising model.

QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography Quantum annealing in the transverse Ising model

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:15:39.946172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 65f2365c-ee15-4706-bf7b-756e42d528c1 · outbound

This paper cites Adiabatic quantum computation.

QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography Adiabatic quantum computation

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:15:39.949686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 24a8e204-c614-43a6-9d36-14b38d564d8c · outbound

This paper cites Quantum optimization of fully connected spin glasses,.

QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography Quantum optimization of fully connected spin glasses,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:15:39.944417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 19cfd1b0-3a72-4089-8cf3-2a0025dfec84 · outbound

This paper cites Construction of energy functions for lattice heteropolymer models: A case study in quantum annealing,.

QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography Construction of energy functions for lattice heteropolymer models: A case study in quantum annealing,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:15:39.948002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5d86ba07-4979-4cc7-b6d2-e6102163bac8 · outbound

This paper cites Effective prime factorization via quantum annealing by modular locally-structured embedding,.

QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography Effective prime factorization via quantum annealing by modular locally-structured embedding,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:15:39.951418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c2ed09e0-cd89-48a8-90fd-f306419de8fa · outbound

This paper cites Algorithms for quantum computation: discrete logarithms and factoring,.

QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography Algorithms for quantum computation: discrete logarithms and factoring,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:15:39.953437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 80bcf1ef-0892-433c-83ea-7197ff020949 · outbound

This paper cites On lattices, learning with errors, random linear codes, and cryptography,.

QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography On lattices, learning with errors, random linear codes, and cryptography,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:15:39.934566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2cce2fdf-6a49-47d7-a4b6-226cfded9b87 · outbound

This paper cites Lattices in computer science,.

QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography Lattices in computer science,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:15:39.938779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7dfc5c8f-6e69-48f6-ac76-cc16e63ea2ee · outbound

This paper cites On ideal lattices and learning with errors over rings,.

QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography On ideal lattices and learning with errors over rings,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:15:39.932644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f6ba6e00-8dc3-482b-b66c-496f4f01be5f · outbound

This paper cites A decade of lattice cryptography,.

QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography A decade of lattice cryptography,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:15:39.936981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation dce7b12f-4ccc-4841-a11f-49aa914ac9c0 · outbound

This paper cites CRYSTALS–Kyber: A CCA-secure module-lattice-based KEM,.

QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography CRYSTALS–Kyber: A CCA-secure module-lattice-based KEM,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:15:39.942606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d083f5ef-fee3-45b3-8398-ffa400ade6ed · outbound

This paper cites Factoring polynomials with rational coefficients,.

QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography Factoring polynomials with rational coefficients,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:15:39.926892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ee182c3f-c9c9-430b-badf-675a8e7d5226 · outbound

This paper cites Analysis of lattice reduction algorithms,.

QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography Analysis of lattice reduction algorithms,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:15:39.930925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fe88055f-91d1-462c-8db4-a4a0821fe139 · outbound

This paper cites On the concrete hardness of learning with errors.

QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography On the concrete hardness of learning with errors

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:15:39.925097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d8b06e25-e76b-4dc4-9726-e7172533660f · outbound

This paper cites Noise-tolerant learning, the parity problem, and the statistical query model,.

QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography Noise-tolerant learning, the parity problem, and the statistical query model,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:15:39.929006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1ca46467-c48e-4a9c-bc83-4dfd6c45c4df · outbound

This paper cites Search problems in cryptography: from classical to quantum,.

QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography Search problems in cryptography: from classical to quantum,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:15:39.940650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 160cba7c-fbcc-4d95-8fbe-43e3529c2cf4 · outbound

This paper cites Exponential algorithmic speedup by quantum walk,.

QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography Exponential algorithmic speedup by quantum walk,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:15:39.955133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3d8b9490-efb0-47c1-aea9-2a4734b17d22 · outbound

This paper cites Ising formulations of many NP problems.

QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography Ising formulations of many NP problems

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:15:39.957090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 269d04a7-b79f-4ee4-821b-b079e93972b1 · outbound

This paper cites Two quantum Ising algorithms for the shortest-vector problem,.

QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography Two quantum Ising algorithms for the shortest-vector problem,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:15:39.958976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d65bd769-13d6-4e34-aa9b-03e73d5a9858 · outbound

This paper cites Quantum-classical hybrid algorithm for solving the learning-with-errors problem on NISQ devices,.

QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography Quantum-classical hybrid algorithm for solving the learning-with-errors problem on NISQ devices,

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-07-08T19:25:32.516557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2e2d448e-b668-497f-a7de-7745c3dd3bd8 · outbound

This paper cites When the Learning With Errors Problem Meets the Coherent Ising Machine: A Penalty-Free Algorithm-Hardware Co-Design.

QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography When the Learning With Errors Problem Meets the Coherent Ising Machine: A Penalty-Free Algorithm-Hardware Co-Design

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-07-08T19:25:32.519031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e6c95260-b7fb-4a39-9684-27ae1b7e47e7 · outbound

This paper cites Advancing LWE cryptanalysis: An updated MIP model and QUBO formulation for quantum annealing,.

QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography Advancing LWE cryptanalysis: An updated MIP model and QUBO formulation for quantum annealing,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T21:15:39.960864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

No inbound Pith citation observations are available.