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Paper Citation Record · LEDGER

Semi-Clifford operations, structure of $\mathcal{C}_k$ hierarchy, and gate complexity for fault-tolerant quantum computation

As of 6 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:0712.2084.

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

pith.paper-citation-record.v1
0712.2084 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T20:00:06.826442Z

measured 0 of 1 external citation measurements

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

Source: cited_works

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 0ca4e051-8254-41c0-9acc-a28035d49d45 · inbound

Local Equivalences of Graph States cites this paper.

Local Equivalences of Graph States Semi-Clifford operations, structure of $\mathcal{C}_k$ hierarchy, and gate complexity for fault-tolerant quantum computation

Reference 78

Resolution
unresolved
no resolver link, observed 2026-08-03T20:00:06.826442Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T20:00:06.826442Z digest=sha256:cdccaf88eba5534f643b54d275927994894f2b2f22fdf3963ac559cacf64c458

Observation b6acc885-4280-4ae1-bd8f-83e3a102d1d6 · inbound

Constant-Depth Clifford-Hierarchy Gates via Non-Abelian Surface Codes cites this paper.

Constant-Depth Clifford-Hierarchy Gates via Non-Abelian Surface Codes Semi-Clifford operations, structure of $\mathcal{C}_k$ hierarchy, and gate complexity for fault-tolerant quantum computation

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-03T16:32:53.995630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:32:53.995630Z digest=sha256:0a68e64340833def946ff4d9c09d395cabe5e0aa6e0aa7b9843241881483ad65

Observation 29034bea-c2d2-4bc3-9d0b-7d06b0e84d6b · inbound

Magic-protected entanglement and Clifford-irreducible structure in magic state space cites this paper.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Semi-Clifford operations, structure of $\mathcal{C}_k$ hierarchy, and gate complexity for fault-tolerant quantum computation

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-01T15:40:19.208830Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:40:19.208830Z digest=sha256:0cbb725e213e6545100f5a12369d555f4b190ec7d5f0c7d5cc9f658a63db36e9