Paper Citation Record · LEDGER

On the sample complexity of purity and inner product estimation

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2410.12712.

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

pith.paper-citation-record.v1
2410.12712 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:07:27.596890Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T11:48:04.425648Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation e46d063a-4f13-474e-aabe-2ad0bd9712c5 · inbound

Simultaneous Estimation of Nonlinear Functionals of a Quantum State cites this paper.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State On the sample complexity of purity and inner product estimation

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T15:07:27.596890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c00ce0fe-366d-42a4-b078-05f3e128f979 · inbound

Information-Computation Gaps in Quantum Learning via Low-Degree Likelihood cites this paper.

Information-Computation Gaps in Quantum Learning via Low-Degree Likelihood On the sample complexity of purity and inner product estimation

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-07T13:10:04.191095Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ffb530d4-1641-443a-a7ae-16353ef02845 · inbound

Instance-Optimal Quantum State Certification with Entangled Measurements cites this paper.

Instance-Optimal Quantum State Certification with Entangled Measurements On the sample complexity of purity and inner product estimation

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T19:32:23.846397Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ec2dba7-2bd5-4e32-a9c0-4ce7858aad40 · inbound

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation cites this paper.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation On the sample complexity of purity and inner product estimation

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-05T11:02:03.333976Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9fcc4564-2abb-4623-9fb4-3c80ac4ba60d · inbound

Instance-Optimal Matrix Multiplicative Weight Update and Its Quantum Applications cites this paper.

Instance-Optimal Matrix Multiplicative Weight Update and Its Quantum Applications On the sample complexity of purity and inner product estimation

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-04T20:12:37.849426Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2edd8cb0-1cfb-49fc-a66f-1258be78507e · inbound

Optimal Distributed Similarity Estimation of Quantum Channels cites this paper.

Optimal Distributed Similarity Estimation of Quantum Channels On the sample complexity of purity and inner product estimation

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T17:21:09.145860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d17fb18b-97e6-4c78-b11f-5cbb48f54304 · inbound

Quantum Nonlinear Properties from a Single Measurement Setting cites this paper.

Quantum Nonlinear Properties from a Single Measurement Setting On the sample complexity of purity and inner product estimation

Reference 70

Resolution: verified exact; arxiv_id, observed 2026-05-12T06:31:27.628500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 71767304-7fb9-4d1c-a53a-9b2ca37c99d9 · inbound

Quantum Time Lower Bounds by Permutation Invariance cites this paper.

Quantum Time Lower Bounds by Permutation Invariance On the sample complexity of purity and inner product estimation

Reference 44

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T08:26:48.436166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fca33452-24d7-4ddf-bf25-5529137abbe9 · inbound

Optimal Stabilizer Testing and Learning with Limited Quantum Memory cites this paper.

Optimal Stabilizer Testing and Learning with Limited Quantum Memory On the sample complexity of purity and inner product estimation

Reference 26

Resolution: metadata mismatch; arxiv_id, observed 2026-07-03T11:48:04.427433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.