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Paper Citation Record · LEDGER

A Quantum Complexity Lowerbound from Differential Geometry

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2112.05724.

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

pith.paper-citation-record.v1
2112.05724 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T02:42:14.669691Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T23:56:23.085334Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 25dcfd7b-ddd6-448a-b40b-7ed6a1f9f3a6 · inbound

Nielsen complexity with multiple cost factors cites this paper.

Nielsen complexity with multiple cost factors A Quantum Complexity Lowerbound from Differential Geometry

Reference 25

Resolution
verified exact
arxiv_id, observed 2026-07-01T23:56:23.087006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-28T13:51:44.055705Z digest=sha256:8dba06c8a3f658081cb2fa33c981e101d49a7265b39c53eeb4fd345dde62856e

Observation 7913aba0-2429-4618-9a06-f446273684c9 · inbound

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates cites this paper.

Explicit Matrices over $\mathbb Z_2$ with CNOT and Row Complexity $4n-\mathrm{o}(n)$ and Local Logic Gates A Quantum Complexity Lowerbound from Differential Geometry

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-31T02:42:14.669691Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:42:14.669691Z digest=sha256:33761c6196d584809c722aa0039906a4a442307ab3848158102dd3e809bddcab