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Paper Citation Record · LEDGER

Depth-2 QAC circuits cannot simulate quantum parity

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2005.12169.

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

pith.paper-citation-record.v1
2005.12169 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:56:58.699585Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T06:10:59.309917Z

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 ed0b58eb-c20f-4376-944d-92bc72f5b3c0 · inbound

Quantum circuit lower bounds in the magic hierarchy cites this paper.

Quantum circuit lower bounds in the magic hierarchy Depth-2 QAC circuits cannot simulate quantum parity

Reference 2016

Resolution
unresolved
no resolver link, observed 2026-08-16T05:56:58.699585Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T05:56:58.699585Z digest=sha256:44c25b79517fff36faf62cd8c3edbe1f121c784083d1ea1c39e4a327a26709fb

Observation 34f2cdfc-6469-4397-af02-4b4e0d7680f6 · inbound

On the Computational Complexity of Geometrically Local QAC0 circuits cites this paper.

On the Computational Complexity of Geometrically Local QAC0 circuits Depth-2 QAC circuits cannot simulate quantum parity

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-11T06:10:59.315344Z

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.

source=pdf_text observed=2026-05-10T17:46:52.590198Z digest=sha256:297e172e155e5ddd93bc73ef8764256074d78b3d0c6f5e7ddc1c63a7cc7b9342

Observation fab30fac-24ce-4017-a75f-5f9c2c5af8af · inbound

Shor's algorithm requires Fanout cites this paper.

Shor's algorithm requires Fanout Depth-2 QAC circuits cannot simulate quantum parity

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-10T22:24:16.300465Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:24:16.300465Z digest=sha256:2954525165ca8762c08a49b69283fd2180cd333249a3aa30319acd162c76261f

Observation bae83f32-4750-4b5a-8f5b-b35a9f2c981b · inbound

Shor's algorithm requires Fanout cites this paper.

Shor's algorithm requires Fanout Depth-2 QAC circuits cannot simulate quantum parity

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-11T04:27:24.066469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T04:27:24.066469Z digest=sha256:1e216164c4834b8a47f74eb9e8aaeca2ac8cb787f554d07768480995c8bb0f63