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Paper Citation Record · LEDGER

Shallow shadows: Expectation estimation using low-depth random Clifford circuits

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2209.12924.

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

pith.paper-citation-record.v1
2209.12924 v3

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 2026-08-06T06:34:29.942622+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T13:36:59.358385Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T23:02:13.708288Z

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 09332b94-8d2c-48a5-af95-feebe8f11f1b · inbound

Efficient implementation of randomized quantum algorithms with dynamic circuits cites this paper.

Efficient implementation of randomized quantum algorithms with dynamic circuits Shallow shadows: Expectation estimation using low-depth random Clifford circuits

Reference 25

Resolution
verified exact
arxiv_id, observed 2026-05-22T23:02:13.710521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-22T22:58:01.877673Z digest=sha256:300514bf872696e84c713ba834c9b960925d39d110e2ff218e0f2c0193be00c0

Observation 95d438f7-31d9-4fd1-a786-8537ef2c044a · inbound

Quantum Simulation of Random Unitaries from Clebsch-Gordan Transforms cites this paper.

Quantum Simulation of Random Unitaries from Clebsch-Gordan Transforms Shallow shadows: Expectation estimation using low-depth random Clifford circuits

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-04T13:36:59.358385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T13:36:59.358385Z digest=sha256:5764ef1eaa467efc4e97aaefaa30a3eb282e088a015a52a2cf16b45ed5df9deb