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Paper Citation Record · LEDGER

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case

As of 15 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2607.15947.

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

pith.paper-citation-record.v1
2607.15947 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T22:04:28.480823Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:33:31.057654Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T04:33:32.009761Z

Reference resolution

27 of 27 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved27
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7bfd2323-c74e-47b4-bd26-50d353581a6c · outbound

This paper cites an unresolved cited work.

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:24.921828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:24.921828Z digest=sha256:a9b9d727eda200537f7f7674b1a30200e35bae2480769b94d75b56d8a310f73c

Observation faf2872c-b641-42ed-a163-d2cba9c6c521 · outbound

This paper cites Briegel, W.

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case Briegel, W

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:25.053156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:25.053156Z digest=sha256:a277cc201f96c390938eb9644d4314b838561d69d1bc6bbf7773f9440b6a3a5c

Observation eea61a81-7939-4918-b937-1f6a9b813049 · outbound

This paper cites an unresolved cited work.

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:25.241437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:25.241437Z digest=sha256:c6c72be5636f6e206c78208fe84ee092eb84ef7158732363dee3002ceed27916

Observation 6856f8f5-56ce-45bb-9cd6-b74b58a7cb75 · outbound

This paper cites ˙Zukowski, A.

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case ˙Zukowski, A

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:25.377567Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:25.377567Z digest=sha256:14eecea1a68b082a3a84da9860e7de5a8fc4e6f25aa16179f6f3ad68f3a6f2a1

Observation 4713230a-4d4a-4c99-8285-83d37cbdd0b3 · outbound

This paper cites an unresolved cited work.

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:25.498512Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:25.498512Z digest=sha256:55eed552d7eee53f65d5979fe00e88da6e34f664f934d1d93aad194e7fdcff2c

Observation caa1c042-7bf2-4b0a-b8a8-98d378e6f4ff · outbound

This paper cites an unresolved cited work.

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:25.615420Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:25.615420Z digest=sha256:94c47a658e9aab38dd5afa641de421d64f64d53f16f13d51211b20a100893803

Observation 81d3c3b8-1470-461a-8f0a-cca8cce82a9a · outbound

This paper cites Deutsch, A.

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case Deutsch, A

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:25.810193Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:25.810193Z digest=sha256:c997c0714b94803fa9f6adf3465f0ad423e9d33e6e287b903af00385ec8717fb

Observation fed34fc6-db19-416e-b7ea-61c774263906 · outbound

This paper cites Peres, Phys.

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case Peres, Phys

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:25.950866Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:25.950866Z digest=sha256:18d79dcab655f31e39d233e9d9320023b7f550e6f6efab95256dc646433385e8

Observation 44168d13-0efc-40ea-85a8-e92f1bc1191d · outbound

This paper cites Horodecki, P.

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case Horodecki, P

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:26.101179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:26.101179Z digest=sha256:212530de2a87e6a843e3d4e887c2d087f293d86e24681ae0af281fa5e2e1bd39

Observation 6ad90c2c-28a0-4278-99cb-a1aefeddcd27 · outbound

This paper cites Horodecki, M.

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case Horodecki, M

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:26.246364Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:26.246364Z digest=sha256:3710adc8ca9ebd2d826aaea24d1627bd2862da23274a92c09cf4d6b4734f36d8

Observation 3d6b1eee-ca6b-48ab-a702-a45979cb6b23 · outbound

This paper cites an unresolved cited work.

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:26.403604Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:26.403604Z digest=sha256:263d7ceac9325cab46733e574e366506630c689ef0dc8d7ccaaec20bbd9802da

Observation ed429020-4147-4dc2-b902-78d9cc8b77d2 · outbound

This paper cites Horodecki, P.

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case Horodecki, P

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:26.543812Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:26.543812Z digest=sha256:551c6694f218bcd4ff771b6b99bcc30a297fd731f278cbdb1c120e77c57bdf23

Observation 487aef8b-6371-4e62-bacb-a5846d9112e1 · outbound

This paper cites an unresolved cited work.

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:26.694180Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:26.694180Z digest=sha256:8f04a7c42b5b8e320926bc9f41a42c3be02219d3b81cf379e531561ed1c69bd7

Observation ebd61e01-c3ed-4871-b328-b9ea8f15a0f9 · outbound

This paper cites an unresolved cited work.

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:26.819664Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:26.819664Z digest=sha256:08537fa58525a3f09dbee31efc9c88f328152086c665e2094d97e0b05a93987c

Observation bf3809dc-5b5c-4c4b-b853-f9458c6748bd · outbound

This paper cites Christandl,PPT square conjecture, BanffInternational Re- search Station workshop, Operator Structures in Quantum In- formation Theory (2012).

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case Christandl,PPT square conjecture, BanffInternational Re- search Station workshop, Operator Structures in Quantum In- formation Theory (2012)

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:26.953007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:26.953007Z digest=sha256:9ff849e048d3dfc33ef0dbcfebdcb930b403ddf5ed452943f6e6fc5c3087d53f

Observation fa75e7d7-b040-410e-a6a8-f9d8900a8b5b · outbound

This paper cites Christandl, A.

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case Christandl, A

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:27.097814Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:27.097814Z digest=sha256:ff67d033b06660c32ec3d4e3c46aa9453f6f80f4246c023d84a81b00a65d82e4

Observation b1636df4-8bf6-451f-b4e5-c0d2b7ed9000 · outbound

This paper cites Choi, Linear Algebra Appl.10, 285 (1975).

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case Choi, Linear Algebra Appl.10, 285 (1975)

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:27.237707Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:27.237707Z digest=sha256:5c4e688e7d9a4fa54c43aa5b6d69a8333ab4bc30dbd56482756affba44c8c0ac

Observation df1c39ce-4cb2-42d1-bd0c-922c67bab687 · outbound

This paper cites Jamiołkowski, Rep.

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case Jamiołkowski, Rep

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:27.377462Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:27.377462Z digest=sha256:355fe36bbaeda0a517de3821024d19643ae1d769b6fe7204c8c4a9da0f128001

Observation ef519d08-3dc3-40b3-8733-15d6b77211e5 · outbound

This paper cites Horodecki, P.

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case Horodecki, P

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:27.541574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:27.541574Z digest=sha256:d3e2cf7817678f87dd1ce7e5e8a79c70b792a5de1a412d4183655f6b566b0331

Observation 875eba40-94b4-48de-87e1-5ebc81ae0922 · outbound

This paper cites an unresolved cited work.

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:27.646137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:27.646137Z digest=sha256:103ca5af58907746f885af916453607942987e8b6d0049fccf0b17cee4aa6bc3

Observation a96f4b10-3569-4d9e-bc94-8bbbf426fc6f · outbound

This paper cites an unresolved cited work.

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:27.764383Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:27.764383Z digest=sha256:d6c28d57e4d6e806e55217bd49cff327c14b1150e182fce31863fa70ba1b8d90

Observation dfe205e5-c471-4783-9db3-2cbd2ed9a15b · outbound

This paper cites an unresolved cited work.

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:27.928158Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:27.928158Z digest=sha256:2ea0ba415c0bec377b741357db29342c08f36dda7addc38bdbf9851a4361c999

Observation f01c15a6-1828-41cc-ac1c-9863ab73ecb8 · outbound

This paper cites Horodecki and P.

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case Horodecki and P

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:28.042675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:28.042675Z digest=sha256:9d723e2993c4142b012ef3bfa4b4739d73fdad0b7d401f5abbf2ef32a99e178a

Observation 8e9ed3f9-2fd1-496d-91dc-f31856dcedea · outbound

This paper cites Lami and V.

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case Lami and V

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:28.148693Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:28.148693Z digest=sha256:38f74f21979329b3613b57777ded6f0c34fcded143f18c4381362b3ecc10f2fc

Observation ef86e6bf-fe01-456b-af64-1a9d5c13eace · outbound

This paper cites Rahaman, S.

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case Rahaman, S

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:28.266929Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:28.266929Z digest=sha256:36595694394f68158408fb42d2c1743a8843046e9a07718d4711bec466c15dad

Observation e2fa5167-e9e9-40e9-81d7-64a9ae4df6e2 · outbound

This paper cites Skowronek, E.

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case Skowronek, E

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:28.384966Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:28.384966Z digest=sha256:d5d01a39117ef9384e012dff2de15c5f134255b14251430788181228e6454542

Observation 28909ddc-e24e-4025-8e41-5b5bddac324d · outbound

This paper cites m00 m01 m10 m11 #! =  m00 + 1 2m11 1√ 2m01 1√ 2m10 1 2m11  and Ψ.

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case m00 m01 m10 m11 #! =  m00 + 1 2m11 1√ 2m01 1√ 2m10 1 2m11  and Ψ

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-01T22:04:28.480823Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T22:04:28.480823Z digest=sha256:52d626c64cf042ebe9eb725bbd819f9739eeb75331a4ca6924bc55c8f7c769bb

Pith citing papers

Observation 251971c5-ac3f-4aa2-8de4-9ae6b61abb79 · inbound

Every PPT channel has finite entanglement-breaking index cites this paper.

Every PPT channel has finite entanglement-breaking index Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-14T04:33:32.016623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T04:33:31.057654Z digest=sha256:d24c01eb439120a925dd3ad3664a0827fa439587a4e644f65f0260e41f801d7d