Paper Citation Record · LEDGER

Partial trace relations beyond normal matrices

As of 19 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 5 inbound Pith citation observations for arXiv:2507.18278.

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

pith.paper-citation-record.v1
2507.18278 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:35:12.059041Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:39:24.958956Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

42 of 42 outbound references displayed

verified exact2
verified fuzzy15
unresolved25
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation f6399643-6428-4fa4-a9b8-ef747da99683 · outbound

This paper cites write newline.

Partial trace relations beyond normal matrices write newline

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:35:12.589065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 391a50b2-0f05-437a-a5ae-3fc68853bbc5 · outbound

This paper cites an unresolved cited work.

Partial trace relations beyond normal matrices Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:35:12.577763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e52f2bca-a5d7-470d-b977-0f2ddb239008 · outbound

This paper cites an unresolved cited work.

Partial trace relations beyond normal matrices Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:35:12.567669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 82951ea2-5080-4727-867e-e3a4d825d19a · outbound

This paper cites an unresolved cited work.

Partial trace relations beyond normal matrices Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:35:12.557645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0ea6d403-8813-4954-9d45-0871a2ae7768 · outbound

This paper cites an unresolved cited work.

Partial trace relations beyond normal matrices Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:35:12.546615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 08ad5a93-b253-4f16-9b47-71fcafae9eba · outbound

This paper cites an unresolved cited work.

Partial trace relations beyond normal matrices Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:35:12.536801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 51fa69d8-e96b-4031-b0e0-d08bb8c5d132 · outbound

This paper cites an unresolved cited work.

Partial trace relations beyond normal matrices Unresolved cited work

Reference 7

Resolution: verified exact; raw_fallback, observed 2026-08-15T18:35:12.188271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9112cd0e-2407-4f9e-9fcc-75ed9aac1269 · outbound

This paper cites an unresolved cited work.

Partial trace relations beyond normal matrices Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:35:12.526966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 795c7533-8c2d-4a42-9f24-d0d0797bc70a · outbound

This paper cites D\"ur, J.

Partial trace relations beyond normal matrices D\"ur, J

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:35:12.517421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0caadfc4-1622-4ca3-b424-4bd5d93da6aa · outbound

This paper cites an unresolved cited work.

Partial trace relations beyond normal matrices Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:35:12.507940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation da886614-1803-4f14-acee-d3b226966d81 · outbound

This paper cites an unresolved cited work.

Partial trace relations beyond normal matrices Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:35:12.498010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 12264870-0207-4ab6-8a4e-3916caa08920 · outbound

This paper cites Fillmore.

Partial trace relations beyond normal matrices Fillmore

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:35:12.487452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2af4bb90-d079-480a-94c5-9b6877ab5ef8 · outbound

This paper cites Filipiak, D.

Partial trace relations beyond normal matrices Filipiak, D

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:35:12.477577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ce8ee1e7-2f12-4765-8469-a08345bb1767 · outbound

This paper cites Flanders.

Partial trace relations beyond normal matrices Flanders

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:35:12.467801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 558baa60-5705-4f60-86a8-278d302adf73 · outbound

This paper cites Fu, P.-S.

Partial trace relations beyond normal matrices Fu, P.-S

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:35:12.457946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f808bc1b-a477-4c80-bdfc-4b6c3f647483 · outbound

This paper cites Filipiak and A.

Partial trace relations beyond normal matrices Filipiak and A

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:35:12.447726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9db50310-da61-44e5-83cf-a31ec4bc40e6 · outbound

This paper cites an unresolved cited work.

Partial trace relations beyond normal matrices Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:35:12.437580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fae77f1b-cc80-4123-984b-4c6acd5922bd · outbound

This paper cites On the one-particle reduced density matrices of a pure three-qutrit quantum state.

Partial trace relations beyond normal matrices On the one-particle reduced density matrices of a pure three-qutrit quantum state

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:35:12.104191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 298920af-cd6a-44bf-a9f4-a613e70b6455 · outbound

This paper cites Horodecki, L.

Partial trace relations beyond normal matrices Horodecki, L

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:35:12.426839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5d321825-b580-4b0d-b2cf-bf03e0d3ea77 · outbound

This paper cites Higuchi, A.

Partial trace relations beyond normal matrices Higuchi, A

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:35:12.416681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 77b68537-b050-4c71-8a16-ffaf073c4a1d · outbound

This paper cites Jackson, I.

Partial trace relations beyond normal matrices Jackson, I

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:35:12.406902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 78124170-1dd9-4de9-9af9-240fd4d94351 · outbound

This paper cites Quantum marginal problem and representations of the symmetric group.

Partial trace relations beyond normal matrices Quantum marginal problem and representations of the symmetric group

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T18:35:11.987734Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3696b0f5-9198-4826-aa76-519b16a291d1 · outbound

This paper cites an unresolved cited work.

Partial trace relations beyond normal matrices Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:35:12.396860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation db47d9fb-d7d2-4104-b7c0-8b11e92b529c · outbound

This paper cites an unresolved cited work.

Partial trace relations beyond normal matrices Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:35:12.387106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 52b0232a-9e9e-4900-aa11-5584ec44d835 · outbound

This paper cites an unresolved cited work.

Partial trace relations beyond normal matrices Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:35:12.377516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a3dc136d-0d77-4979-be8e-081443b23a03 · outbound

This paper cites Müller-Hermes, D.

Partial trace relations beyond normal matrices Müller-Hermes, D

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:35:12.367411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 23a5ddae-14df-427a-9f00-f89caec145ef · outbound

This paper cites an unresolved cited work.

Partial trace relations beyond normal matrices Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:35:12.357497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1fb5038f-e431-4236-9580-e45e7788398b · outbound

This paper cites Pankowski, M.

Partial trace relations beyond normal matrices Pankowski, M

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:35:12.347843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5e23ddd4-8cb0-4879-aabc-7ede0d563c84 · outbound

This paper cites an unresolved cited work.

Partial trace relations beyond normal matrices Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:35:12.337667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6051f3fd-68a5-4ccf-a38e-b2f2147b51f9 · outbound

This paper cites an unresolved cited work.

Partial trace relations beyond normal matrices Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:35:12.327575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 143a658b-7904-4d6e-95f6-a8983c4a8c55 · outbound

This paper cites an unresolved cited work.

Partial trace relations beyond normal matrices Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:35:12.316797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a46f5755-39e1-4e79-94c7-6e1525ba7bef · outbound

This paper cites an unresolved cited work.

Partial trace relations beyond normal matrices Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:35:12.306541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c35c900d-e7d9-4cb0-9159-c6ac943da8ef · outbound

This paper cites Sanpera, D.

Partial trace relations beyond normal matrices Sanpera, D

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:35:12.296089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2ec104e6-0920-4836-bd88-281b5a7f79bb · outbound

This paper cites Shen and L.

Partial trace relations beyond normal matrices Shen and L

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:35:12.285342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 46f0c0e5-261e-4dbb-a78f-0864ca8647ee · outbound

This paper cites an unresolved cited work.

Partial trace relations beyond normal matrices Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:35:12.273672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d09fe639-92fd-4d34-b07e-835201a024c8 · outbound

This paper cites an unresolved cited work.

Partial trace relations beyond normal matrices Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:35:12.261852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e27954b6-336a-464c-912e-a8cdf3d46da5 · outbound

This paper cites an unresolved cited work.

Partial trace relations beyond normal matrices Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:35:12.250699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 367fcd3f-254a-40e9-8e48-b169bc6cd359 · outbound

This paper cites an unresolved cited work.

Partial trace relations beyond normal matrices Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:35:12.239343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b9b5c557-58e9-4d8f-af23-11f378b3bf11 · outbound

This paper cites an unresolved cited work.

Partial trace relations beyond normal matrices Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:35:12.228834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1fcf708e-db2f-4b1c-8658-0441a51cccee · outbound

This paper cites Taussky and H.

Partial trace relations beyond normal matrices Taussky and H

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:35:12.218477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3b983083-59cc-4c65-8475-12089a1fbfcd · outbound

This paper cites an unresolved cited work.

Partial trace relations beyond normal matrices Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:35:12.208395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d75856a5-d763-47e3-8c7f-2d91bcb3589b · outbound

This paper cites an unresolved cited work.

Partial trace relations beyond normal matrices Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:35:12.198154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation d401f97d-a5d7-4d91-a665-5eb96ffc86a7 · inbound

A solution to 2-copy distillability of Werner states cites this paper.

A solution to 2-copy distillability of Werner states Partial trace relations beyond normal matrices

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T07:49:52.512620Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dbb19046-effe-42a5-840f-d42ee783f714 · inbound

On the two-copy distillability of Werner states and a new partial trace inequality cites this paper.

On the two-copy distillability of Werner states and a new partial trace inequality Partial trace relations beyond normal matrices

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-07-31T18:41:17.627264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f7d06a1f-35cf-460c-9e0f-90182f0aade7 · inbound

Two-copy nondistillability of Werner states: sharp partial-trace inequalities and finite-copy extensions cites this paper.

Two-copy nondistillability of Werner states: sharp partial-trace inequalities and finite-copy extensions Partial trace relations beyond normal matrices

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-31T13:55:58.636406Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf169703-b4f4-4c7c-8b08-df6b213b958d · inbound

Sharp Plucker Geometry for Three-Copy Werner Distillation cites this paper.

Sharp Plucker Geometry for Three-Copy Werner Distillation Partial trace relations beyond normal matrices

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-15T15:39:24.958956Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1397ddb-4816-48c2-bc9f-29f1473ac014 · inbound

Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension cites this paper.

Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Partial trace relations beyond normal matrices

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-14T04:32:48.304245Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.