Paper Citation Record · LEDGER

Simpler Presentations for Many Fragments of Quantum Circuits

As of 10 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 2 inbound Pith citation observations for arXiv:2602.09874.

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

pith.paper-citation-record.v1
2602.09874 v3

Coverage vector

measured 5 of 5 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T02:45:17.565613Z

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T01:09:20.760759Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

5 of 5 outbound references displayed

verified exact0
verified fuzzy0
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6e40d720-d73b-4ca7-94ac-d710934428fa · outbound

This paper cites Equivalently, S(Csrc)∼=µm.

Simpler Presentations for Many Fragments of Quantum Circuits Equivalently, S(Csrc)∼=µm

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T02:45:17.374828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 51f4c4d8-16fe-4625-ac91-62f30bd573a9 · outbound

This paper cites Definition 43).

Simpler Presentations for Many Fragments of Quantum Circuits Definition 43)

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T02:45:17.461143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c392640-2228-487e-ac6f-a359a3db4eb1 · outbound

This paper cites each hom-setCsrc(n,n )is a group under composition.2 2 In all applications in this paper,Csrc consists of unitaries, hence this holds automatically.

Simpler Presentations for Many Fragments of Quantum Circuits each hom-setCsrc(n,n )is a group under composition.2 2 In all applications in this paper,Csrc consists of unitaries, hence this holds automatically

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T02:45:17.512698Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a6c23ba-ef13-453c-86aa-1a3ac70eeb82 · outbound

This paper cites Now use the refinement relationωr =s to rewritest =ωrt, yieldingC 1 =ω a1⊗C′ 1 =ω a1⊗ωrt⊗C′ 2 =ω a1+rt⊗C′ 2.

Simpler Presentations for Many Fragments of Quantum Circuits Now use the refinement relationωr =s to rewritest =ωrt, yieldingC 1 =ω a1⊗C′ 1 =ω a1⊗ωrt⊗C′ 2 =ω a1+rt⊗C′ 2

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T02:45:17.565613Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8ef179f-f19e-433d-bc50-4105568cd18e · outbound

This paper cites no hidden phases.

Simpler Presentations for Many Fragments of Quantum Circuits no hidden phases

Reference 2004

Resolution: unresolved; no resolver link, observed 2026-08-03T02:45:17.214949Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 3b1d8e60-71cf-4261-b73f-c83865e33cdf · inbound

Completeness for Prime-Dimensional Phase-Affine Circuits cites this paper.

Completeness for Prime-Dimensional Phase-Affine Circuits Simpler Presentations for Many Fragments of Quantum Circuits

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-15T13:50:31.667769Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9d55fb6c-b0c6-405f-8b4e-4df968b5aeb5 · inbound

Phase transitions in quantum-circuit compilation cites this paper.

Phase transitions in quantum-circuit compilation Simpler Presentations for Many Fragments of Quantum Circuits

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-04T01:09:20.760759Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.