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Paper Citation Record · LEDGER

Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs

As of 12 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2608.07986.

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

pith.paper-citation-record.v1
2608.07986 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T00:56:32.167210Z

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 exact4
  • verified fuzzy4
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ea521a00-bfa7-4e1a-ba43-0d4da7d7b507 · outbound

This paper cites On the Pure Quantum Polynomial Hierarchy and Quantified Hamiltonian Complexity.

Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs On the Pure Quantum Polynomial Hierarchy and Quantified Hamiltonian Complexity

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:56:32.439854Z

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.

source=pdf_text observed=2026-08-12T00:56:32.146801Z digest=sha256:fbbcdd41c5290b3fe2054040b3ecddf64d56fed6c2ed9fb40c3537b3d50861e8

Observation d963c2cd-3bcf-4b29-97ba-fdd8981abe6a · outbound

This paper cites Optimal Quantum de Finetti Theorems via Argmax Rounding.

Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs Optimal Quantum de Finetti Theorems via Argmax Rounding

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-12T00:56:32.209400Z

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.

source=pdf_text observed=2026-08-12T00:56:32.156852Z digest=sha256:38321fca219dd5661c5b9a9ccdf60ecc84603bd0bcd7e2debe350be7be74cc4f

Observation 1ff96d37-95f1-4071-8124-75c7f5304116 · outbound

This paper cites The power of unentanglement without destructive interference.

Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs The power of unentanglement without destructive interference

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-12T00:56:32.163737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T00:56:32.163737Z digest=sha256:c58cd05bf855da1b77d6f47ec83a6fd905e7a44f26268415d086b33452a97f62

Observation ea110a06-2319-4350-b63a-a73562821611 · outbound

This paper cites Testing matrix product states.

Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs Testing matrix product states

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-12T00:56:32.167210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T00:56:32.167210Z digest=sha256:a46c5a8f27e586e3a08d368702446ea4c7b9359549b42e79f824276911dfeb99

Observation 1c5eb143-3da5-485b-88ef-819d416553a8 · outbound

This paper cites Remarks on the quantum de Finetti theorem for bosonic systems.Applied Mathematics Research eXpress, 2015(1):48– 63,.

Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs Remarks on the quantum de Finetti theorem for bosonic systems.Applied Mathematics Research eXpress, 2015(1):48– 63,

Reference 2005

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:56:32.418649Z

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.

source=pdf_text observed=2026-08-12T00:56:32.160257Z digest=sha256:cdc889a4075ec38076190895ffc102f790131a6e4ad9a67f4ede16dc65703d9a

Observation 49091dc4-82c8-43fd-a1f6-0174409cd832 · outbound

This paper cites The Collapse of Unentangled Stoquastic Merlin-Arthur Proof Systems.

Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs The Collapse of Unentangled Stoquastic Merlin-Arthur Proof Systems

Reference 2007

Resolution
verified exact
local_arxiv, observed 2026-08-12T00:56:32.315995Z

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.

source=pdf_text observed=2026-08-12T00:56:32.139355Z digest=sha256:b8bc5b5ca1d8158f0cffd5f1d98b4532859ce9ded9862c9f991e31c7c9c3fdac

Observation 14be8ef5-8e24-4e5d-a52d-cf87a39cc72e · outbound

This paper cites High-dimensional quantum Schur transforms.

Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs High-dimensional quantum Schur transforms

Reference 2011

Resolution
unresolved
no resolver link, observed 2026-08-12T00:56:32.123594Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T00:56:32.123594Z digest=sha256:783583ac67c2aa1c0f5adefdc9bb3b0589fdba43c2005733915d0fbd9c1fdb09

Observation 06a03037-bf8e-4695-8fa1-afeeefa8dec9 · outbound

This paper cites An Optimal Analysis of the Product Test.

Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs An Optimal Analysis of the Product Test

Reference 2013

Resolution
verified exact
local_arxiv, observed 2026-08-12T00:56:32.331515Z

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.

source=pdf_text observed=2026-08-12T00:56:32.135309Z digest=sha256:fb9b40e30f1874f492b6e835a5771b9cdb2933fc41a2071a2967932595665527

Observation 62ceefdd-f392-4a5d-bce2-ae3049e032e5 · outbound

This paper cites The Complexity of Stoquastic Sparse Hamiltonians.

Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs The Complexity of Stoquastic Sparse Hamiltonians

Reference 2015

Resolution
unresolved
no resolver link, observed 2026-08-12T00:56:32.150082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T00:56:32.150082Z digest=sha256:7237dd13a1e5b1b0a15c3e550f420b24a3b9afa98f0d21220e9ee1d8a45797e0

Observation 6a8c6821-b3e9-45f2-98b4-7bd7e32c5eee · outbound

This paper cites Dimension Independent Disentanglers from Unentanglement and Applications.

Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs Dimension Independent Disentanglers from Unentanglement and Applications

Reference 2023

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:56:32.429411Z

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.

source=pdf_text observed=2026-08-12T00:56:32.153714Z digest=sha256:b7c49a4128fed0fe2621ebe41a5de9165aedb4cb279d8a66fd36411f9827263f

Observation 3171c724-4c92-4d50-ba25-c23119d1ca7e · outbound

This paper cites Quantum Merlin-Arthur and Proofs Without Relative Phase.

Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs Quantum Merlin-Arthur and Proofs Without Relative Phase

Reference 2024

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:56:32.450023Z

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.

source=pdf_text observed=2026-08-12T00:56:32.131772Z digest=sha256:b090b56bacecc9650c561b1b48c5056962f3dc52502eeec8a7ddea0236076534

Observation 1bef4267-a379-4541-a1cc-6549599a8a62 · outbound

This paper cites Quantum Merlin-Arthur with an internally separable proof.

Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs Quantum Merlin-Arthur with an internally separable proof

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-12T00:56:32.127897Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T00:56:32.127897Z digest=sha256:7a512a800422f00f693e9de06cc6caa5069fb074458877f6b17ba3f79b9edca4

Observation 8bf81e50-3be2-436a-a269-7131f176b70b · outbound

This paper cites Unentanglement and post-measurement branch- ing in quantum interactive proofs.arXiv preprint arXiv:2509.15319,.

Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs Unentanglement and post-measurement branch- ing in quantum interactive proofs.arXiv preprint arXiv:2509.15319,

Reference 2026

Resolution
verified exact
raw_fallback, observed 2026-08-12T00:56:32.302822Z

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.

source=pdf_text observed=2026-08-12T00:56:32.143346Z digest=sha256:adcd89c291b571290355686feeb78cf8686bb9ef41554b2d6df868b59028aebb

Pith citing papers

No inbound Pith citation observations are available.