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Paper Citation Record · LEDGER

Symbolic integration with respect to the Haar measure on the unitary group

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1109.4244.

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

pith.paper-citation-record.v1
1109.4244 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 2026-08-09T06:31:02.800959+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T23:02:45.559547Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-17T00:51:24.537628Z

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 88f2aedb-78b0-43cd-94fe-631ce13376d9 · inbound

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity cites this paper.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Symbolic integration with respect to the Haar measure on the unitary group

Reference 72

Resolution
unresolved
no resolver link, observed 2026-08-07T23:02:45.559547Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:02:45.559547Z digest=sha256:5eb8dc56e4d7cbc067ce03886cbec8354230b6886fffacd4c19700661a32e914

Observation df23c2e6-9ef7-4b4a-bd37-99053f192b23 · inbound

Mitigating Barren Plateaus in Quantum Denoising Diffusion Probabilistic Model cites this paper.

Mitigating Barren Plateaus in Quantum Denoising Diffusion Probabilistic Model Symbolic integration with respect to the Haar measure on the unitary group

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-05-17T00:51:24.539720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-17T00:49:04.665206Z digest=sha256:8369d3f1a87bd5be1629e7efdfc6762ea29fe15b63ddd40c22ccec0aed537fd0

Observation 989710f8-9c3b-48cc-92e3-c340d88966c2 · inbound

Probabilistic and approximate universal quantum purification machines cites this paper.

Probabilistic and approximate universal quantum purification machines Symbolic integration with respect to the Haar measure on the unitary group

Reference 34

Resolution
verified exact
arxiv_id, observed 2026-05-10T23:15:48.304356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T19:16:31.140389Z digest=sha256:56149b6d35d114bc7e770558191c858f83b0a422708b2b984201e8f1fb104744