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Paper Citation Record · LEDGER

Incompressibility and spectral gaps of random circuits

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2406.07478.

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

pith.paper-citation-record.v1
2406.07478 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:54:42.544352Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-10T23:10:50.036880Z

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 a13c9eba-8b9d-43cc-8ecd-b4e45b764e96 · inbound

Shallow quantum circuit for generating extremely low-entangled approximate state designs cites this paper.

Shallow quantum circuit for generating extremely low-entangled approximate state designs Incompressibility and spectral gaps of random circuits

Reference 70

Resolution
unresolved
no resolver link, observed 2026-08-06T14:54:42.544352Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T14:54:42.544352Z digest=sha256:024bb34827bff106dbdc96360ef2b0997581e624d9959f5093d4b7fa53952194

Observation a12e3004-ba65-4d4e-b5e6-1004bc3c05fe · inbound

Thermalization with partial information cites this paper.

Thermalization with partial information Incompressibility and spectral gaps of random circuits

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-06T01:01:44.846119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T01:01:44.846119Z digest=sha256:03d6c951057d5e70b5f529cb98a89a5875b825223eab97b1e3de6510a73d3c98

Observation 4aa6bc20-4e26-439d-b820-8f1d897003d5 · inbound

Resource quantification for programming low-depth quantum circuits cites this paper.

Resource quantification for programming low-depth quantum circuits Incompressibility and spectral gaps of random circuits

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:19.661409Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:19.661409Z digest=sha256:c15cce8dce41de0332506f431f8c07bd8e22d938e7493e6f9cb4306ca9dd7fca

Observation db72f51c-399f-4e7f-a72f-b1e53d34ea6b · inbound

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

Quantum Simulation of Random Unitaries from Clebsch-Gordan Transforms Incompressibility and spectral gaps of random circuits

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-04T13:37:03.958463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T13:37:03.958463Z digest=sha256:e0eaafeeb158150fa60eba31f0a5e669e3dc0aae148139198f230e9812d9681c

Observation 1639cb49-9372-4b2b-bf92-05bf2ba3f489 · inbound

Growth and collapse of subsystem complexity under random unitary circuits cites this paper.

Growth and collapse of subsystem complexity under random unitary circuits Incompressibility and spectral gaps of random circuits

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-04T08:55:58.212082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T08:55:58.212082Z digest=sha256:eecac1adf9e688821d2a4dd3a7f3f422e17378e801972c5366e24327f9a665f7

Observation 1eec3e5b-35a6-4023-8130-786ff2b4e6b8 · inbound

Anti-concentration is (almost) all you need cites this paper.

Anti-concentration is (almost) all you need Incompressibility and spectral gaps of random circuits

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-04T08:06:56.719208Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T08:06:56.719208Z digest=sha256:03f4cd635e1ef7e812e52e99cc9b244767de1324150f945b551d7ca36cc6393c

Observation 0b832cc5-2efe-4a61-9bcb-28f449065ee8 · inbound

Apparent Universal Behavior in Second Moments of Random Quantum Circuits cites this paper.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits Incompressibility and spectral gaps of random circuits

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-04T07:56:55.138166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T07:56:55.138166Z digest=sha256:eed9c7c7272baaa506df57570fe7528309b1a8e0d88eae592b706641a5aa5033

Observation 29102a2a-bf06-4607-9206-657c67338798 · inbound

Quantum state randomization constrained by non-Abelian symmetries cites this paper.

Quantum state randomization constrained by non-Abelian symmetries Incompressibility and spectral gaps of random circuits

Reference 21

Resolution
verified exact
arxiv_id, observed 2026-05-10T23:10:50.042939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-10T19:19:46.340586Z digest=sha256:005de99f0a2f981400bdc29e646ba6ff06365ac57eea8eb44c7bcd7ead83d527

Observation 735ff9f4-c11f-4694-9445-e38970384ed8 · inbound

Entanglement and circuit complexity in finite-depth random linear optical networks cites this paper.

Entanglement and circuit complexity in finite-depth random linear optical networks Incompressibility and spectral gaps of random circuits

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-10T13:35:26.730804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-10T13:25:42.729625Z digest=sha256:169648008cbc21687fb7148c6f72ec3d3481c0a1ba09612d8ea2eb29ebce6eaf