Paper Citation Record · LEDGER

Parallel Kac's Walk Generates PRU

As of 18 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2504.14957.

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

pith.paper-citation-record.v1
2504.14957 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:45:01.470411Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-10T13:25:42.729625Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

23 of 23 outbound references displayed

verified exact0
verified fuzzy17
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 46832ab2-9ac1-4013-9b98-345f58a21fa9 · outbound

This paper cites Pseudorandom isometries.

Parallel Kac's Walk Generates PRU Pseudorandom isometries

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:45:01.755863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 12871e48-76da-4fcb-87b6-8a995f97e3fd · outbound

This paper cites Pseudorandom (function-like) quantum state generators: New definitions and applications.

Parallel Kac's Walk Generates PRU Pseudorandom (function-like) quantum state generators: New definitions and applications

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:45:01.744753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1cde5389-c2d0-4c02-8142-b1eaf927cc2b · outbound

This paper cites Cryptography from pseudorandom quantum states.

Parallel Kac's Walk Generates PRU Cryptography from pseudorandom quantum states

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:45:01.733316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b380d3dc-ab92-4a70-8b87-2d556dd525aa · outbound

This paper cites Computational Pseudorandomness, the Wormhole Growth Paradox, and Constraints on the AdS/CFT Duality.

Parallel Kac's Walk Generates PRU Computational Pseudorandomness, the Wormhole Growth Paradox, and Constraints on the AdS/CFT Duality

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:45:01.722300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f1d0de65-59a9-4296-b6aa-499603ce7b4e · outbound

This paper cites Brand \ a o, Aram W.

Parallel Kac's Walk Generates PRU Brand \ a o, Aram W

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:45:01.710596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 57f4ff39-b42a-4c93-a7e6-b857f2d43954 · outbound

This paper cites Real-valued somewhat-pseudorandom unitaries.

Parallel Kac's Walk Generates PRU Real-valued somewhat-pseudorandom unitaries

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:45:01.699866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2ad3c94a-d2f9-43e0-8f46-66d4f204d759 · outbound

This paper cites ( P seudo) random quantum states with binary phase.

Parallel Kac's Walk Generates PRU ( P seudo) random quantum states with binary phase

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:45:01.688224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4bc52b55-0c15-47ec-ab32-63d8d7d32292 · outbound

This paper cites Scalable pseudorandom quantum states.

Parallel Kac's Walk Generates PRU Scalable pseudorandom quantum states

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:45:01.673110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7aef91b7-945c-45c0-b0dd-a676c68e335f · outbound

This paper cites Pseudorandomness from Subset States.

Parallel Kac's Walk Generates PRU Pseudorandomness from Subset States

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-16T11:45:01.418279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e0c69046-cac4-43be-b9ba-3a49a65f5017 · outbound

This paper cites The Church of the Symmetric Subspace.

Parallel Kac's Walk Generates PRU The Church of the Symmetric Subspace

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-16T11:45:01.422167Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8789ef18-c99a-4d74-9489-7172504f11a4 · outbound

This paper cites an unresolved cited work.

Parallel Kac's Walk Generates PRU Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:45:01.661849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1e0cccd2-6b0e-4aad-be3a-bd91f7c91687 · outbound

This paper cites Pseudorandom quantum states.

Parallel Kac's Walk Generates PRU Pseudorandom quantum states

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:45:01.650217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 81cb40ab-0409-4ba1-8ae0-811382e502ac · outbound

This paper cites Pseudorandom and Pseudoentangled States from Subset States.

Parallel Kac's Walk Generates PRU Pseudorandom and Pseudoentangled States from Subset States

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-16T11:45:01.433801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6ca9971-4f8c-47a9-a5a6-b7b36c085dd2 · outbound

This paper cites Pillai, Ashwin Sah, Mehtaab Sawhney, and Aaron Smith.

Parallel Kac's Walk Generates PRU Pillai, Ashwin Sah, Mehtaab Sawhney, and Aaron Smith

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:45:01.639013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 94140b42-c2f1-4a24-9a65-e1aecf1f7c94 · outbound

This paper cites Foundations of kinetic theory.

Parallel Kac's Walk Generates PRU Foundations of kinetic theory

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:45:01.628248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8a7966ca-202a-4291-b3b9-a7a3024f0204 · outbound

This paper cites Quantum pseudorandom scramblers.

Parallel Kac's Walk Generates PRU Quantum pseudorandom scramblers

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:45:01.616423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7b20ab98-e0f8-4bbd-a333-3730a760e4aa · outbound

This paper cites How to Construct Random Unitaries.

Parallel Kac's Walk Generates PRU How to Construct Random Unitaries

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-16T11:45:01.447854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9126a31e-f324-47f5-8ac2-8aa71dd78c13 · outbound

This paper cites Simple constructions of linear-depth t-designs and pseudorandom unitaries.

Parallel Kac's Walk Generates PRU Simple constructions of linear-depth t-designs and pseudorandom unitaries

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:45:01.605025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e1107e81-e95f-4d84-84ab-2d30762f60b1 · outbound

This paper cites Kac's walk on n -sphere mixes in n n steps.

Parallel Kac's Walk Generates PRU Kac's walk on n -sphere mixes in n n steps

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:45:01.593870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b332eca3-3552-45be-8e5a-fec63f8b50fc · outbound

This paper cites Random unitaries in extremely low depth.

Parallel Kac's Walk Generates PRU Random unitaries in extremely low depth

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-16T11:45:01.458597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33c57e36-57c0-47ee-94fa-a5b4b48fc4aa · outbound

This paper cites The complexity of learning (pseudo) random dynamics of black holes and other chaotic systems.

Parallel Kac's Walk Generates PRU The complexity of learning (pseudo) random dynamics of black holes and other chaotic systems

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:45:01.581743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e6b00b1f-8dfb-419e-8c73-26d3cb333b24 · outbound

This paper cites A note on quantum-secure P R P s.

Parallel Kac's Walk Generates PRU A note on quantum-secure P R P s

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:45:01.570566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e4f1ddd4-84be-44ba-9caf-22d88eddf64e · outbound

This paper cites How to construct quantum random functions.

Parallel Kac's Walk Generates PRU How to construct quantum random functions

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:45:01.558579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

Observation 520e97fd-92c9-45dc-8c54-5936f6cfe92e · 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 Parallel Kac's Walk Generates PRU

Reference 36

Resolution: verified exact; arxiv_id, observed 2026-05-10T13:30:26.139412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.