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Paper Citation Record · LEDGER

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

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 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 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:48:15.109219Z

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 e243c3e0-5cd5-437e-8aad-622f34597de0 · inbound

Operator Spreading in Random Unitary Circuits with Unitary-invariant Gate Distributions cites this paper.

Operator Spreading in Random Unitary Circuits with Unitary-invariant Gate Distributions Lecture Notes: Introduction to random unitary circuits and the measurement-induced entanglement phase transition

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-10T21:48:15.109219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T21:48:15.109219Z digest=sha256:2942e490c8485d4931a2be0943b6cad1e9f90e09046fd2b5de625e5adbb1107d

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=sha256:31984d4049baab71913103d6dcf634cb01b803631fc5c260e60db2bb8d80cf86

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-28T09:21:48.906490Z digest=sha256:3f412fc89d47af61a6ab68721510445fed754f8abd74a4791ce0d6df69f3d5a8

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T04:42:31.216589Z digest=sha256:9d4e3af8c433dd48de1260905a2abe0d3b053c356d0b0247614017556e9d1fa2

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=sha256:7fad812bc4c468d96f535f7e69f63d4560d1e92df9b35fd450dfef7d8166efa3