Paper Citation Record · LEDGER

Quantum Algorithms for Modular Factorials

As of 21 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2607.29453.

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

pith.paper-citation-record.v1
2607.29453 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T06:53:02.391259Z

measured 21 of 21 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

21 of 21 outbound references displayed

verified exact9
verified fuzzy0
unresolved9
parse uncertain0
malformed identifier3
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation edd37d49-a5f8-47fe-bf19-98f606aa1482 · outbound

This paper cites Linear Recurrences with Polynomial Coefficients and Application to Integer Factorization and Cartier–Manin Operator.

Quantum Algorithms for Modular Factorials Linear Recurrences with Polynomial Coefficients and Application to Integer Factorization and Cartier–Manin Operator

Reference 1

Resolution: verified exact; doi, observed 2026-08-03T06:53:23.758080Z

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 c1679e10-8317-4268-9ad9-a7de6d261a28 · outbound

This paper cites A Search for Wilson Primes.

Quantum Algorithms for Modular Factorials A Search for Wilson Primes

Reference 2

Resolution: verified exact; doi, observed 2026-08-03T06:53:23.617722Z

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 21c92883-f665-4826-8cb5-4be9d3647dac · outbound

This paper cites On Jacobi Sums, Multinomial Coefficients, andp-adic Hypergeometric Func- tions.

Quantum Algorithms for Modular Factorials On Jacobi Sums, Multinomial Coefficients, andp-adic Hypergeometric Func- tions

Reference 3

Resolution: verified exact; doi, observed 2026-08-03T06:53:23.479002Z

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 1692f3f0-28a0-4b38-8653-0055b0d260c4 · outbound

This paper cites Efficient Quantum Algorithms for Estimating Gauss Sums.

Quantum Algorithms for Modular Factorials Efficient Quantum Algorithms for Estimating Gauss Sums

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T06:53:00.715200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83e1691d-c7c7-4e29-8684-7df5d54559ee · outbound

This paper cites Lattice Basis Reduction, Jacobi Sums and Hyperelliptic Cryp- tosystems.

Quantum Algorithms for Modular Factorials Lattice Basis Reduction, Jacobi Sums and Hyperelliptic Cryp- tosystems

Reference 5

Resolution: verified exact; doi, observed 2026-08-03T06:53:23.393666Z

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 7a69162d-2262-4620-b854-05b8941b983c · outbound

This paper cites Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer.

Quantum Algorithms for Modular Factorials Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T06:53:00.909170Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2093c5ab-e976-4db6-bcc3-9a5e7cbf9c11 · outbound

This paper cites Fast Approximation Algorithms for the Knapsack and Sum of Subset Problems.

Quantum Algorithms for Modular Factorials Fast Approximation Algorithms for the Knapsack and Sum of Subset Problems

Reference 7

Resolution: malformed identifier; no resolver link, observed 2026-08-03T06:53:01.014434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d017a500-221a-423d-a8dc-5f83b3e50a62 · outbound

This paper cites Divisors of Shifted Primes.

Quantum Algorithms for Modular Factorials Divisors of Shifted Primes

Reference 8

Resolution: verified exact; doi, observed 2026-08-03T06:53:23.098279Z

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 de20ba0a-33bb-4a0a-bcac-2c166c48088c · outbound

This paper cites Einige Resultate über Berechnungskomplexität.

Quantum Algorithms for Modular Factorials Einige Resultate über Berechnungskomplexität

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T06:53:01.177584Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b027c45-afe8-4fd0-bb64-07aedf74ae72 · outbound

This paper cites Factoring and Factorials.

Quantum Algorithms for Modular Factorials Factoring and Factorials

Reference 10

Resolution: verified exact; doi, observed 2026-08-03T06:53:22.752864Z

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 a77d7644-d9e2-4503-9d9d-1b39a8063e33 · outbound

This paper cites On a Theory of Computation and Complexity over the Real Numbers: NP-Completeness, Recursive Functions and Universal Machines.

Quantum Algorithms for Modular Factorials On a Theory of Computation and Complexity over the Real Numbers: NP-Completeness, Recursive Functions and Universal Machines

Reference 11

Resolution: malformed identifier; doi_truncated, observed 2026-08-03T06:53:22.632646Z

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 1eb41454-8d7f-4e6b-a3be-4e2ed3c8a04b · outbound

This paper cites On the Intractability of Hilbert’s Nullstellensatz and an Algebraic Version of “NP̸=P?.

Quantum Algorithms for Modular Factorials On the Intractability of Hilbert’s Nullstellensatz and an Algebraic Version of “NP̸=P?

Reference 12

Resolution: malformed identifier; no resolver link, observed 2026-08-03T06:53:01.435478Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60723031-9727-4ca7-a9c2-3ed4352beef8 · outbound

This paper cites Factoring Integers with Elliptic Curves.

Quantum Algorithms for Modular Factorials Factoring Integers with Elliptic Curves

Reference 13

Resolution: verified exact; doi, observed 2026-08-03T06:53:22.364722Z

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 898abc74-7e22-4cec-a42b-e80b59df8f2d · outbound

This paper cites On the Ultimate Complexity of Factorials.

Quantum Algorithms for Modular Factorials On the Ultimate Complexity of Factorials

Reference 14

Resolution: verified exact; doi, observed 2026-08-03T06:53:22.230108Z

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 00421be6-a34f-47a5-9738-8b016c9b42b6 · outbound

This paper cites Gauss–Jacobi Sums and Stickelberger’s Theorem.

Quantum Algorithms for Modular Factorials Gauss–Jacobi Sums and Stickelberger’s Theorem

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T06:53:01.781874Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c8e4454-af3b-4a58-8d53-c6800755f7f7 · outbound

This paper cites an unresolved cited work.

Quantum Algorithms for Modular Factorials Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T06:53:01.882251Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2fbc801c-e273-4e52-95fc-91525087546d · outbound

This paper cites A Quantum Algorithm for Computing the Unit Group of an Arbitrary Degree Number Field.

Quantum Algorithms for Modular Factorials A Quantum Algorithm for Computing the Unit Group of an Arbitrary Degree Number Field

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T06:53:01.986490Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 55ae52e4-957e-43ce-9077-33552cf800e7 · outbound

This paper cites Efficient Quantum Algorithms for Computing Class Groups and Solving the Principal Ideal Problem in Arbitrary Degree Number Fields.

Quantum Algorithms for Modular Factorials Efficient Quantum Algorithms for Computing Class Groups and Solving the Principal Ideal Problem in Arbitrary Degree Number Fields

Reference 18

Resolution: verified exact; doi, observed 2026-08-03T06:53:22.012027Z

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 8a9d7442-17de-49d0-af33-f698d8c0efaa · outbound

This paper cites Biasse and F.

Quantum Algorithms for Modular Factorials Biasse and F

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T06:53:02.198872Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 59e3e4ec-87b6-4a29-b567-46a440fad67c · outbound

This paper cites Polynomial Algorithms for Computing the Smith and Hermite Normal Forms of an Integer Matrix.

Quantum Algorithms for Modular Factorials Polynomial Algorithms for Computing the Smith and Hermite Normal Forms of an Integer Matrix

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T06:53:02.306277Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4f3f0d4-e896-44e2-8f4c-b7077e040246 · outbound

This paper cites an unresolved cited work.

Quantum Algorithms for Modular Factorials Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T06:53:02.391259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.