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Paper Citation Record · LEDGER

Lecture Notes: Introduction to random unitary circuits and the measurement-induced entanglement phase transition

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2307.02986.

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

pith.paper-citation-record.v1
2307.02986 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 2026-08-10T06:31:04.303077+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:34:32.056660Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T04:46:46.532511Z

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 e328a871-f11c-4d56-81f5-0f8a65ec9959 · inbound

Disparity between multipartite entangling and disentangling powers of unitaries: Even vs Odd cites this paper.

Disparity between multipartite entangling and disentangling powers of unitaries: Even vs Odd Lecture Notes: Introduction to random unitary circuits and the measurement-induced entanglement phase transition

Reference 90

Resolution
unresolved
no resolver link, observed 2026-08-07T14:34:32.056660Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:34:32.056660Z digest=sha256:0f1c7ace774a2d6d8f76d190155d4f3d53d31e65be21a488f26b94dc9d6f3377

Observation 02e94dd7-72c5-4bf6-b854-3e2d78c93f7d · inbound

Operator spreading in random circuits with orthogonal or symplectic symmetry cites this paper.

Operator spreading in random circuits with orthogonal or symplectic symmetry Lecture Notes: Introduction to random unitary circuits and the measurement-induced entanglement phase transition

Reference 32

Resolution
verified exact
arxiv_id, observed 2026-07-02T04:16:34.786131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-28T09:21:48.906490Z digest=sha256:a40c8e67940157b331b42bb4642c1313211b96ce87313e745e906004a80645ba

Observation f41d8da4-a3a8-4278-a0af-fd3bcd643a3c · inbound

Universality of Measurement-Induced Criticality under Symmetry-Breaking Measurements cites this paper.

Universality of Measurement-Induced Criticality under Symmetry-Breaking Measurements Lecture Notes: Introduction to random unitary circuits and the measurement-induced entanglement phase transition

Reference 32

Resolution
verified exact
local_arxiv, observed 2026-07-10T04:46:46.533950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-10T04:42:31.216589Z digest=sha256:c1cd73dd8f6cd83a312a88d19c1bb49157c604731c28e9a3ef5dbca545118f1f

Observation 41aa08e4-4744-40ab-877c-27a84208d101 · inbound

Universality of Measurement-Induced Criticality under Symmetry-Breaking Measurements cites this paper.

Universality of Measurement-Induced Criticality under Symmetry-Breaking Measurements Lecture Notes: Introduction to random unitary circuits and the measurement-induced entanglement phase transition

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-02T07:57:57.263353Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T07:57:57.263353Z digest=sha256:05203309b39b29f2ad37dc2b64b8ad7222e7c8aa8cd07d8aa927315f51cede40