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Paper Citation Record · LEDGER

An upper bound for the purity of absolutely positive partial transpose states

As of 12 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2608.09832.

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

pith.paper-citation-record.v1
2608.09832 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T05:59:42.567888Z

measured 8 of 8 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

8 of 8 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bdfcb682-0465-4b14-ac61-45869a46ba0e · outbound

This paper cites D˜ ung and V.

An upper bound for the purity of absolutely positive partial transpose states D˜ ung and V

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-11T05:59:42.533489Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:59:42.533489Z digest=sha256:5b3bb17452013a14e580d00d4f33028ee851333feb6d77cf36df4ce9150b12ea

Observation f038e373-f9eb-40fc-8152-4de2e029e6c5 · outbound

This paper cites Gurvits and H.

An upper bound for the purity of absolutely positive partial transpose states Gurvits and H

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:59:42.867867Z

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=2026-08-11T05:59:42.538972Z digest=sha256:6e7ff454898fbbc9ba44aec2abbb3fb1bd6a031af416589185001a6f4015453e

Observation 34cc6df0-f9b0-44e3-8a21-1400bc617394 · outbound

This paper cites Hildebrand,Positive partial transpose from spectra, Phys.

An upper bound for the purity of absolutely positive partial transpose states Hildebrand,Positive partial transpose from spectra, Phys

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:59:42.851444Z

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=2026-08-11T05:59:42.543258Z digest=sha256:66673960238348d8b4257cb083bc3d1445a5110ef6cb1cede21b1de133516d81

Observation 2939ba3b-038f-4160-af6c-970081e6cf5c · outbound

This paper cites Johnston,Separability from spectrum for qubit-qudit states, Phys.

An upper bound for the purity of absolutely positive partial transpose states Johnston,Separability from spectrum for qubit-qudit states, Phys

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:59:42.836568Z

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=2026-08-11T05:59:42.547518Z digest=sha256:d4ccee67fdb8a34af25bcf37ad393077ffb3c12766b3ed4a14631cd311d72f3a

Observation 67b47464-1108-4a33-8368-6bd3fd2c3af5 · outbound

This paper cites Fundamental limitations on entanglement extraction from purity.

An upper bound for the purity of absolutely positive partial transpose states Fundamental limitations on entanglement extraction from purity

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-11T05:59:42.552788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:59:42.552788Z digest=sha256:8b49a03b3cf44acee2e2c5a3b4d9033e2af9ec064d317cb21ce794a8a7b8e1cb

Observation 3b543592-c7df-4b44-907d-b7b406c053f1 · outbound

This paper cites Kus and K.

An upper bound for the purity of absolutely positive partial transpose states Kus and K

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:59:42.821093Z

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=2026-08-11T05:59:42.557595Z digest=sha256:f811bb98fac03401bb7863c9b257437cb9a3b31a3eb0e6184afa71c2533352f5

Observation ff892579-f432-4521-bddb-faec05db2152 · outbound

This paper cites Peres,Separability criterion for density matrices, Phys.

An upper bound for the purity of absolutely positive partial transpose states Peres,Separability criterion for density matrices, Phys

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:59:42.805888Z

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=2026-08-11T05:59:42.563039Z digest=sha256:bb49ac75d3f9cf56031f3d0285aa682f0f40698d4dfbbb84712ba29c3d497c16

Observation fb6a9028-5d1b-4964-85bb-a1ced7ea66c2 · outbound

This paper cites Song and L.

An upper bound for the purity of absolutely positive partial transpose states Song and L

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:59:42.789443Z

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=2026-08-11T05:59:42.567888Z digest=sha256:e7af3b3e2a59fac17199d2beb11ebba8269eb6ecbd28c7bd62c5551e7ce7f81a

Pith citing papers

No inbound Pith citation observations are available.