Paper Citation Record · LEDGER

Scalable, quantum-accessible, and adaptive pseudorandom quantum state and pseudorandom function-like quantum state generators

As of 12 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2507.22535.

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

pith.paper-citation-record.v1
2507.22535 v5

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T11:45:14.175727Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

13 of 13 outbound references displayed

verified exact0
verified fuzzy8
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c87f66af-adc6-4ae7-96b4-b16d61c36cc7 · outbound

This paper cites an unresolved cited work.

Scalable, quantum-accessible, and adaptive pseudorandom quantum state and pseudorandom function-like quantum state generators Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:45:16.409459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 38837b2d-460c-45d6-8927-8cb16e55be6e · outbound

This paper cites This gives Pr k←KeyGen(1n,1λ) h BUPRFk (1λ) = 1 i −Pr f←Y X h BUf (1λ) = 1 i =ν(λ), which contradicts that{PRF k}k is quantum-secure pseudorandom.

Scalable, quantum-accessible, and adaptive pseudorandom quantum state and pseudorandom function-like quantum state generators This gives Pr k←KeyGen(1n,1λ) h BUPRFk (1λ) = 1 i −Pr f←Y X h BUf (1λ) = 1 i =ν(λ), which contradicts that{PRF k}k is quantum-secure pseudorandom

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:45:16.391797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 11925d62-ec1a-4f72-908c-325cee831ee9 · outbound

This paper cites an unresolved cited work.

Scalable, quantum-accessible, and adaptive pseudorandom quantum state and pseudorandom function-like quantum state generators Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:45:16.374119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2a24ac3e-2949-4edb-87a5-aa24182f22ec · outbound

This paper cites Since CircuitGen is a PT algorithm, the size of the quantum circuitC r is polynomially bounded inλ.

Scalable, quantum-accessible, and adaptive pseudorandom quantum state and pseudorandom function-like quantum state generators Since CircuitGen is a PT algorithm, the size of the quantum circuitC r is polynomially bounded inλ

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:45:16.328958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9466e9a7-2b8d-4e86-bfdd-7e6ddb772ae9 · outbound

This paper cites ⌊2ma/(a+b)⌉2 −m ̸=⌊2 m˜a/(˜a+˜b)⌉2−m, where ˜a,˜bare the outputs of ˜A⟨m1⟩ G in the same iteration as a, b.

Scalable, quantum-accessible, and adaptive pseudorandom quantum state and pseudorandom function-like quantum state generators ⌊2ma/(a+b)⌉2 −m ̸=⌊2 m˜a/(˜a+˜b)⌉2−m, where ˜a,˜bare the outputs of ˜A⟨m1⟩ G in the same iteration as a, b

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:45:16.184061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 134a483f-5382-402b-951d-8c029a96d3c4 · outbound

This paper cites an unresolved cited work.

Scalable, quantum-accessible, and adaptive pseudorandom quantum state and pseudorandom function-like quantum state generators Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:45:15.977849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 63868873-95fc-4fe9-8919-2056a77e4fd4 · outbound

This paper cites an unresolved cited work.

Scalable, quantum-accessible, and adaptive pseudorandom quantum state and pseudorandom function-like quantum state generators Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:45:15.757954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c3543eca-1e56-42a5-83f0-7ca2713205f3 · outbound

This paper cites If1 u < es(x) ̸=1 ˜u < es(˜x) , output false.

Scalable, quantum-accessible, and adaptive pseudorandom quantum state and pseudorandom function-like quantum state generators If1 u < es(x) ̸=1 ˜u < es(˜x) , output false

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:45:15.431648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9357d667-f854-4f01-b34b-c78631a8f52c · outbound

This paper cites This checker checks whetherA G behaves the same, both accepting or both rejecting, when run on (α, x, u) versus (α,˜x,˜u) (seeAG Algorithm 3).

Scalable, quantum-accessible, and adaptive pseudorandom quantum state and pseudorandom function-like quantum state generators This checker checks whetherA G behaves the same, both accepting or both rejecting, when run on (α, x, u) versus (α,˜x,˜u) (seeAG Algorithm 3)

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:45:15.188452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 26b16917-6425-46ed-8e19-bef8c00cc402 · outbound

This paper cites In this case, a/(a+b)−˜a/(˜a+ ˜b) can be bounded, then the probability that they differ after rounding can be bounded.

Scalable, quantum-accessible, and adaptive pseudorandom quantum state and pseudorandom function-like quantum state generators In this case, a/(a+b)−˜a/(˜a+ ˜b) can be bounded, then the probability that they differ after rounding can be bounded

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:45:14.980836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0d926a98-058f-45ef-b0a6-7f075d780813 · outbound

This paper cites The probability that this happens is small enough.

Scalable, quantum-accessible, and adaptive pseudorandom quantum state and pseudorandom function-like quantum state generators The probability that this happens is small enough

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:45:14.834178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6d76b155-b329-41b6-8d9e-00a962634ff2 · outbound

This paper cites an unresolved cited work.

Scalable, quantum-accessible, and adaptive pseudorandom quantum state and pseudorandom function-like quantum state generators Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:45:14.612242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 254b23f9-8cc7-4cfe-9f53-df5eab172b4b · outbound

This paper cites More formally, ARB(1m, α,˜U ′ 1|| ˜U ′ 2|| · · · ||˜U ′ 2m|| ˜U1|| ˜U2|| · · · ||˜U2m) def =A B3 1m, α,ARN (1m1,2m, ˜U ′ 1),· · ·,ARN (1m1,2m, ˜U ′ 2m), ˜U1,· · ·,˜U2m.

Scalable, quantum-accessible, and adaptive pseudorandom quantum state and pseudorandom function-like quantum state generators More formally, ARB(1m, α,˜U ′ 1|| ˜U ′ 2|| · · · ||˜U ′ 2m|| ˜U1|| ˜U2|| · · · ||˜U2m) def =A B3 1m, α,ARN (1m1,2m, ˜U ′ 1),· · ·,ARN (1m1,2m, ˜U ′ 2m), ˜U1,· · ·,˜U2m

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:45:14.391789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.