Pith. sign in

Paper Citation Record · LEDGER

Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs

As of 24 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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T00:56:32.146801Z digest=sha256:35401339eaa1febd130b20b1c112448d27b591599d671a8618b68c9e4f7886e4

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T00:56:32.156852Z digest=sha256:c9bc10f81aa02a6b006a52ed42e19c6878f2690841c92136d9f9a80fa654b1cd

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=sha256:6adb973b9adf1ed30baf9245f7a0d4ce0cc4eaddabc6e443fd8651abb2804114

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=sha256:755209b52520f999d20746686f4d0d6d499b9351511497aada3c9d26105f18bb

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T00:56:32.160257Z digest=sha256:50d6c1ac9249f216b2aacba768dd7ecd553c396f0e746acd17a9abf587e0cdf5

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T00:56:32.139355Z digest=sha256:8f1e86497f6e1f833ffe699a6775a5b47e56e7bf7c9e8fe4ff870e860a84aa56

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=sha256:6b8a2b0d877bfc3ac9a00bba898fef2bd7f62429b4669245e757428eeda5e8fa

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T00:56:32.135309Z digest=sha256:c55a774e3396bd3bfd0ff11d6328841e31e7d90bf1782042475f43962e4a7b32

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=sha256:669c4f676d53f2153e419feac5ff395f91a002babf414c70647646728c6842f2

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T00:56:32.153714Z digest=sha256:745dbb0408636504ddbf4bfafbdf44a8989b2292b03547954c99e1fac722bad2

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T00:56:32.131772Z digest=sha256:a405007758eb337ab93124090110912913bfa066338cf56146b5fdd6bf3e42c5

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:ad3a74fa5f8264919904de85eb6286743dfa2d2d4b19834490316d9f9d33809e

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T00:56:32.143346Z digest=sha256:9fd5d7c97924bd1ffebabeda73d679693100101173c45fe0b0ca9cfe71528980

Pith citing papers

No inbound Pith citation observations are available.