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Paper Citation Record · LEDGER

How hard is it to verify a classical shadow?

As of 22 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2510.08515.

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

pith.paper-citation-record.v1
2510.08515 v3

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T10:50:50.926183Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

10 of 10 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dab81dae-84ee-4321-92fd-3b8071660a22 · outbound

This paper cites an unresolved cited work.

How hard is it to verify a classical shadow? Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-04T10:50:50.292582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:50:50.292582Z digest=sha256:1d8bb16a88fe67773d132b3a4bc7f9e03c7efab7bb86e9caf1271faa75d45452

Observation 67045daf-3230-4c87-944e-9659638854a2 · outbound

This paper cites an unresolved cited work.

How hard is it to verify a classical shadow? Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-04T10:50:50.407976Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:50:50.407976Z digest=sha256:b75b3607ead08716b7f239735ae01573024b56de7ada08f4876ab9c9041505b1

Observation 69908f10-0e58-4e06-8d3a-0e197d501e26 · outbound

This paper cites We have that TrE(ρ(x, t, S)) = TrE eUt · · ·eUtd+1 Enc(|1⟩ ⟨1|) eU † td+1 · · ·eU † t.

How hard is it to verify a classical shadow? We have that TrE(ρ(x, t, S)) = TrE eUt · · ·eUtd+1 Enc(|1⟩ ⟨1|) eU † td+1 · · ·eU † t

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-04T10:50:50.487168Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:50:50.487168Z digest=sha256:9b6a850b805a1428a4442d06aa99fd1011e2020feb2a4c320b79035eb8cdae28

Observation 8fe4fe00-adff-443d-8c28-7292f6220e6b · outbound

This paper cites an unresolved cited work.

How hard is it to verify a classical shadow? Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-04T10:50:50.561473Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:50:50.561473Z digest=sha256:f186f1311575b6cf4a074e7d1f38858783e9add1f90ec3f44bc286c5614322c1

Observation 1aeae157-ecfd-41b2-9128-700262f1be3f · outbound

This paper cites an unresolved cited work.

How hard is it to verify a classical shadow? Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-04T10:50:50.649040Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:50:50.649040Z digest=sha256:0deaec72647d68cde8031ddda86aa8aa9cfe910177b5ab9352c3ad40aa3c95d1

Observation 99b93ccf-7505-4f60-84a2-888a16036ba3 · outbound

This paper cites Then for every x ∈ A, Tr(Hi bX(x, Si)) = 0.

How hard is it to verify a classical shadow? Then for every x ∈ A, Tr(Hi bX(x, Si)) = 0

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-04T10:50:50.736017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:50:50.736017Z digest=sha256:06e6d6d7ae0f85244ab27cb5cd8900fe0beefa81d1d1959f773ac8385dd133ff

Observation e264162c-b8ea-4886-b11a-3dac5b9dd294 · outbound

This paper cites The power of unentan- glement.

How hard is it to verify a classical shadow? The power of unentan- glement

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-04T10:50:50.169772Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:50:50.169772Z digest=sha256:f7d0ee5851336b214d987200d582613543f7d105167a3137cdfb6aeb870e8851

Observation e428c53a-e8d9-4bd9-98b3-d4c776f8f938 · outbound

This paper cites 37 Proof of Theorem 4.4 Since the containment is straightforward we only show hardness explicitly.

How hard is it to verify a classical shadow? 37 Proof of Theorem 4.4 Since the containment is straightforward we only show hardness explicitly

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-04T10:50:50.817402Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:50:50.817402Z digest=sha256:0898eb10afca3110d15a736bf094d6861b3cdb5b4481254eadc2c7df2f2e68bc

Observation c4bc1353-9bc4-4e72-a7c3-24803a381257 · outbound

This paper cites normalized Hi so ∥Hi∥∞ ≤ 1.

How hard is it to verify a classical shadow? normalized Hi so ∥Hi∥∞ ≤ 1

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-04T10:50:50.926183Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:50:50.926183Z digest=sha256:c970de1c9881f44848613473d14b0ee7815eccc899bff048ab99172f88c15c04

Observation d528d6d2-4b56-4ccc-a29f-7f8f1dc09091 · outbound

This paper cites Parallel approximation of non-interactive zero-sum quantum games.

How hard is it to verify a classical shadow? Parallel approximation of non-interactive zero-sum quantum games

Reference 2008

Resolution
unresolved
no resolver link, observed 2026-08-04T10:50:50.228182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:50:50.228182Z digest=sha256:624ce32aaec3e762e06a8996fdacb60bd019186256890b85f8fba73fe1ce86b6

Pith citing papers

No inbound Pith citation observations are available.