Paper Citation Record · LEDGER

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem

As of 19 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2507.18088.

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

pith.paper-citation-record.v1
2507.18088 v2

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:57:59.971893Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

26 of 26 outbound references displayed

verified exact0
verified fuzzy7
unresolved19
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a53f3cf7-e224-4b42-82ac-d0e3775bc793 · outbound

This paper cites an unresolved cited work.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:58:00.388663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3938a99e-90a3-43fb-b24f-0b9922dad6b9 · outbound

This paper cites an unresolved cited work.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:58:00.378721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c1484605-d1ef-4123-9215-ca29f407c70f · outbound

This paper cites an unresolved cited work.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:58:00.368682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4176be07-3d5d-4092-9090-f4d14dc20a10 · outbound

This paper cites an unresolved cited work.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:58:00.358053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d45477c8-79fa-467d-b69a-2303b9ad0a19 · outbound

This paper cites From Step 3 to 4, we expressed register A in Eq.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem From Step 3 to 4, we expressed register A in Eq

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:58:00.347944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c9f0ac04-4961-467f-896e-efad3119be90 · outbound

This paper cites an unresolved cited work.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:58:00.337113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a9ce8de0-2741-4862-87cf-fdc32eaa6289 · outbound

This paper cites an unresolved cited work.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:58:00.326194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8e08ce9f-1890-4aed-a2a7-8f98798e8e30 · outbound

This paper cites an unresolved cited work.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:58:00.315383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f8972c29-a8d2-4f97-8e4d-67878cb53593 · outbound

This paper cites an unresolved cited work.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:58:00.195482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 64ec3f51-8b92-4aa5-b0c7-493100c636a8 · outbound

This paper cites an unresolved cited work.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:58:00.184778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d8d60526-2179-4bb8-a7f7-081f97014cc1 · outbound

This paper cites an unresolved cited work.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:58:00.173189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 759b8bf2-3855-4cde-a14d-15b89d8d7398 · outbound

This paper cites an unresolved cited work.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:58:00.162302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 12ca4454-5cf2-4208-b492-3214728c46cf · outbound

This paper cites an unresolved cited work.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:58:00.151124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fdbd8c8c-7856-4a90-a41e-6dcdbdbf7368 · outbound

This paper cites Bacon, A.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem Bacon, A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:58:00.139190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cccce1b6-0719-4712-b1d2-7c714e7ff1a9 · outbound

This paper cites an unresolved cited work.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:58:00.128326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 658f4349-2ef2-47f0-8e1b-a154f65378fb · outbound

This paper cites Deutsch and R.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem Deutsch and R

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:58:00.116972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 65984ad2-b52b-4065-9b1e-79dde18e5c9a · outbound

This paper cites Gavinsky, Quantum solution to the hidden subgroup problem for poly-near-hamiltonian groups.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem Gavinsky, Quantum solution to the hidden subgroup problem for poly-near-hamiltonian groups

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:58:00.105434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b19eb765-3e85-47e9-981a-5c9deb45bd2e · outbound

This paper cites Hallgren, Fast quantum algorithms for computing the unit group and class group of a number field.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem Hallgren, Fast quantum algorithms for computing the unit group and class group of a number field

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:58:00.093614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 410057d4-163e-4a14-a453-7e298cceea4c · outbound

This paper cites Kuperberg, A subexponential-time quantum algorithm for the dihedral hidden subgroup problem.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem Kuperberg, A subexponential-time quantum algorithm for the dihedral hidden subgroup problem

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:58:00.081855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9cdbc618-ee2e-468e-865d-90983298ce99 · outbound

This paper cites The Hidden Subgroup Problem - Review and Open Problems.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem The Hidden Subgroup Problem - Review and Open Problems

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T14:57:59.952485Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 26cb6b2c-e297-4b01-a5c6-3095b0d284f1 · outbound

This paper cites an unresolved cited work.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:58:00.069404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e1598a76-a55e-4ab4-a7f4-ba917b88bf91 · outbound

This paper cites an unresolved cited work.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:58:00.058347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation beff390c-a3cd-4d94-8646-e61794b13edf · outbound

This paper cites an unresolved cited work.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:58:00.046518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a605dbf2-af10-46a2-88fa-9ffb84118015 · outbound

This paper cites , pk and positive integersn1,.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem , pk and positive integersn1,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:58:00.035058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6059c20b-539c-4458-b59a-9a95caf4e055 · outbound

This paper cites Quantum Computing: Lecture Notes.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem Quantum Computing: Lecture Notes

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T14:57:59.968591Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 81628104-27f1-4750-b94c-3fbd2e106860 · outbound

This paper cites an unresolved cited work.

An Initialization-free Quantum Algorithm for General Abelian Hidden Subgroup Problem Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:58:00.023492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.