Paper Citation Record · LEDGER

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace

As of 14 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2411.16461.

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

pith.paper-citation-record.v1
2411.16461 v2

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:12:08.555472Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

46 of 46 outbound references displayed

verified exact4
verified fuzzy24
unresolved18
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 35bd75ae-5369-42b0-bad1-db3b8482fd08 · outbound

This paper cites Kuś and K.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Kuś and K

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-12T13:12:08.357452Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4fdcbfb-406f-488c-b14c-1c28b0b84256 · outbound

This paper cites kUCAogYwYAzDLxULTH5p9puc5l0=.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace kUCAogYwYAzDLxULTH5p9puc5l0=

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:09.479002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d83a8935-70ef-49dd-99a2-0190fd21cfb8 · outbound

This paper cites Hildebrand, Entangled states close to the maximally mixed state, Phys.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Hildebrand, Entangled states close to the maximally mixed state, Phys

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:09.412457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 40d66d3e-bf06-40a1-a223-396a9fc7c6d4 · outbound

This paper cites Ganguly, J.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Ganguly, J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:09.395994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 42db06e0-7b71-4320-8582-7b1b2393961b · outbound

This paper cites We have Tr(ρW9) ≈ −0.004 < 0 and min W9(θ, ϕ) ≈ 0.0002234 at (θ, ϕ) = (0 .381, 0).

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace We have Tr(ρW9) ≈ −0.004 < 0 and min W9(θ, ϕ) ≈ 0.0002234 at (θ, ϕ) = (0 .381, 0)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:09.447392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 76f69d15-d2e4-45fe-a602-6b4a6bd1b76c · outbound

This paper cites Taking into account the results of Theorem 1,W7 detects thatρ(p) is an entangled SAPPT state forpmin ≤ p ≤ pW7 ent ≈ 0.9930.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Taking into account the results of Theorem 1,W7 detects thatρ(p) is an entangled SAPPT state forpmin ≤ p ≤ pW7 ent ≈ 0.9930

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:09.463208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9ce7de1f-4fd4-446b-9338-4e5a2db07f4e · outbound

This paper cites Gurvits and H.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Gurvits and H

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-12T13:12:08.362392Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2f9664b-92b7-47f0-900f-ad2a6520f817 · outbound

This paper cites Halder, S.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Halder, S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:09.378987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c1fb79a3-9870-4f0c-bb1a-fa816e140d86 · outbound

This paper cites Knill, Open quantum problems,https://oqp.iqoqi.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Knill, Open quantum problems,https://oqp.iqoqi

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:09.363777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 28af7e65-6433-4c4f-aa23-ab0cd820b4a1 · outbound

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

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Peres, Separability criterion for density matrices, Phys

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T13:12:08.387702Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5ed6f93-f039-4a8c-aa4c-cb5f11a045b0 · outbound

This paper cites Størmer, Positive linear maps of operator algebras, Acta Mathematica 110, 233 (1963).

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Størmer, Positive linear maps of operator algebras, Acta Mathematica 110, 233 (1963)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:09.337634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d6b37ddd-c71b-4970-b3d6-32d3e6a083e1 · outbound

This paper cites Woronowicz, Positive maps of low dimensional ma- trix algebras, Reports on Mathematical Physics10, 165 (1976).

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Woronowicz, Positive maps of low dimensional ma- trix algebras, Reports on Mathematical Physics10, 165 (1976)

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:09.322045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b76eb30a-75e1-44ce-ba94-ea815c0291ee · outbound

This paper cites Horodecki, P.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Horodecki, P

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:09.306577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a65c8177-9697-4f5d-a09e-0e2531efdda5 · outbound

This paper cites an unresolved cited work.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:12:09.289921Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7c7940d5-3eca-4760-8fbd-c0b86c29163b · outbound

This paper cites Augusiak, J.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Augusiak, J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:09.273227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a08685d4-e531-4478-92d2-737644afcd15 · outbound

This paper cites Tura i Brugués, Characterizing Entanglement and Quantum Correlations Constrained by Symmetry (Springer International Publishing, 2017).

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Tura i Brugués, Characterizing Entanglement and Quantum Correlations Constrained by Symmetry (Springer International Publishing, 2017)

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:09.255781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5b5770cc-176b-460e-889c-5b94cdeb793a · outbound

This paper cites Horodecki, P.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Horodecki, P

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:09.239703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1111dff9-522d-4f66-aa9f-b11ac1ed68e9 · outbound

This paper cites an unresolved cited work.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:12:09.224504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 932faa08-f1f4-49b4-8faf-ad4449f04daa · outbound

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

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Hildebrand, Positive partial transpose from spectra, Phys

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:09.208946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 91620f31-36bd-45d3-9d24-42afeeeff0c7 · outbound

This paper cites Arunachalam, N.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Arunachalam, N

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:09.192384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1ab9b187-1b48-4153-ab51-eb739ec0f77e · outbound

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

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Johnston, Separability from spectrum for qubit-qudit states, Phys

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-12T13:12:08.435307Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c6ac62a9-86b8-4464-8768-21d9a3e6b053 · outbound

This paper cites Criteria of absolutely separability from spectrum for qudit-qudits states.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Criteria of absolutely separability from spectrum for qudit-qudits states

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-12T13:12:08.871740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e5a6cf12-02b9-4d1d-b0f4-8ce2c79cdc04 · outbound

This paper cites Abellanet-Vidal, G.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Abellanet-Vidal, G

Reference 23

Resolution: verified exact; raw_fallback, observed 2026-08-12T13:12:08.850502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 30c079ec-2bc2-4a0f-a58c-51bfbd6345c5 · outbound

This paper cites Song and L.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Song and L

Reference 24

Resolution: verified exact; raw_fallback, observed 2026-08-12T13:12:08.771621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e2aab477-822b-4d98-8533-8f01e7d5598f · outbound

This paper cites an unresolved cited work.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:12:09.163906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a9f0cba3-94a8-4156-8778-cc91d60fdf77 · outbound

This paper cites an unresolved cited work.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:12:09.148924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0abb37fd-500c-4a8b-9410-49c92f443c50 · outbound

This paper cites an unresolved cited work.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:12:09.133236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b27f66d9-148b-47b1-a36e-e634fa881f0c · outbound

This paper cites Serrano-Ensástiga and J.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Serrano-Ensástiga and J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:09.117420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5d1eeab3-0bbe-480e-9bc3-de698de8bdbf · outbound

This paper cites Serrano-Ensástiga, J.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Serrano-Ensástiga, J

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:09.101825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5124c83f-7afb-4fb9-8018-1417b841a7dd · outbound

This paper cites an unresolved cited work.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-12T13:12:08.478513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation afebffc4-290e-4769-82a3-8bbdd12b34b9 · outbound

This paper cites an unresolved cited work.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-12T13:12:08.483032Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db1cd60b-b8ae-45da-8e8e-01a0646119dd · outbound

This paper cites an unresolved cited work.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:12:09.066779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 49685524-b13b-4430-b74d-4fb2fc99d03b · outbound

This paper cites Spin entanglement in antiferromagnetic spin-1 Bose-Einstein condensates.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Spin entanglement in antiferromagnetic spin-1 Bose-Einstein condensates

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-12T13:12:08.601123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a130c031-5dbf-4943-8f36-8441df3e6d7d · outbound

This paper cites Ferretti, Y.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Ferretti, Y

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:09.051433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dbf46a7e-a359-4574-96c2-b4218492f556 · outbound

This paper cites Bohnet-Waldraff, O.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Bohnet-Waldraff, O

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:09.036632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e8a341d2-fdfc-4494-811c-1ae413bcf211 · outbound

This paper cites Morris, B.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Morris, B

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-12T13:12:08.506354Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 003c71bc-5940-481c-a988-a919120f4aa7 · outbound

This paper cites an unresolved cited work.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:12:09.010632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 017c9bd4-2ec9-4999-81ba-ec00295ddd24 · outbound

This paper cites Vidal and R.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Vidal and R

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-12T13:12:08.515910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2ff4dae-8d93-4055-a72b-c4a646902ba9 · outbound

This paper cites Johnston and E.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Johnston and E

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:08.985293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dbd9d5d1-c0f5-4152-9789-19954ad4c508 · outbound

This paper cites Bohnet-Waldraff, D.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Bohnet-Waldraff, D

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-12T13:12:08.525843Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1cc40de7-f2e6-4730-8910-ab677a1a2c27 · outbound

This paper cites an unresolved cited work.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-12T13:12:08.530924Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 68ba3dfe-b2cc-44a0-bdc2-362e563e2deb · outbound

This paper cites Johnston, QETLAB: A MATLAB toolbox for quan- tum entanglement, version 0.9, https://qetlab.com (2016).

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Johnston, QETLAB: A MATLAB toolbox for quan- tum entanglement, version 0.9, https://qetlab.com (2016)

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:08.948785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cc6c0c7a-410a-43ee-97c7-f5840d34d311 · outbound

This paper cites an unresolved cited work.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:12:08.933974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c4488164-f91a-4e77-94c2-c13488bab380 · outbound

This paper cites Bohnet-Waldraff, D.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Bohnet-Waldraff, D

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:08.918235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f1a20206-8bab-4e89-b195-cb7863901ff2 · outbound

This paper cites Riordan, Combinatorial identities (John Wiley and Sons, New York, 1968).

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Riordan, Combinatorial identities (John Wiley and Sons, New York, 1968)

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:08.902314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6b32bee0-c061-4f4c-8687-fdd8255aa621 · outbound

This paper cites Champagne, N.

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace Champagne, N

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:08.886802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.