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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=sha256:65a54f1c85d918e3846a466b9def5f4dd006a3fe4eec36632e899f5e677f3dbd

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=sha256:938364a8fdd85452a4d69bacaedd4e53ca150abd982cb2874533bc9e656ea8e6

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=sha256:5e5a9a26709dcede854a773180cfd1196803e07e0f98a453f6eabed23b936ef2

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=sha256:22b48901baf58b8fbde9b86359bd7036860843de39d063a45f1563b4007f9641

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=sha256:732b807d2084b0c8b4ad3ba963d0ad7b65f4bc471cfa3eadd6a8c219045351ca

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=sha256:7604e4a25dbef7056a5cd76a11b709e542afa4dd2ebd695da93eec1c2fc68aca

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:d2fe893ee884121f6a301fc2ae2c0d1a6121ac48ebf082d56f0c60ccbb9598d1

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=sha256:3e878ccf58db4c7204cf529c63c6e91182ffcb42e403bce4003cedc8a3575214

Pith citing papers

No inbound Pith citation observations are available.