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Paper Citation Record · LEDGER

A study on Heisenberg-Weyl linear maps

As of 8 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2506.05097.

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

pith.paper-citation-record.v1
2506.05097 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:44:10.754128Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

36 of 36 outbound references displayed

  • verified exact0
  • verified fuzzy16
  • unresolved20
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 882af005-070d-4973-ba6e-e2c170b54a87 · outbound

This paper cites an unresolved cited work.

A study on Heisenberg-Weyl linear maps Unresolved cited work

Reference 1

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation ee6774d2-2a50-44cb-a601-784a93b9eadb · outbound

This paper cites an unresolved cited work.

A study on Heisenberg-Weyl linear maps Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:44:16.110520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation e74830ba-bc4f-40e6-8b0c-cc49266ebded · outbound

This paper cites an unresolved cited work.

A study on Heisenberg-Weyl linear maps Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:44:16.005892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 8c7628c7-74aa-4ee6-8613-b0f1d56db023 · outbound

This paper cites 2, 95–100.

A study on Heisenberg-Weyl linear maps 2, 95–100

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 0f0c3604-ca79-486d-8180-a0fb7c460b2e · outbound

This paper cites 03, 1450001.

A study on Heisenberg-Weyl linear maps 03, 1450001

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation c2abf85c-9a5f-49e8-8f56-da8b99f2fa60 · outbound

This paper cites an unresolved cited work.

A study on Heisenberg-Weyl linear maps Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:44:15.617198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation c2015c1e-22ed-422b-8e64-d69102a40224 · outbound

This paper cites 39, 395202.

A study on Heisenberg-Weyl linear maps 39, 395202

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:44:15.509101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 5a861542-ad13-480c-a426-3e44d290dc04 · outbound

This paper cites 48, 483001.

A study on Heisenberg-Weyl linear maps 48, 483001

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:44:15.317161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 7905b553-d2b5-4580-b33b-0496fd61e42e · outbound

This paper cites an unresolved cited work.

A study on Heisenberg-Weyl linear maps Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:44:15.135040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 6fb28f02-16aa-4ef8-87bd-a8f8769bf1ea · outbound

This paper cites an unresolved cited work.

A study on Heisenberg-Weyl linear maps Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:44:14.989897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation df0e02b9-9cfe-4c5a-b0fa-949c2e9c1148 · outbound

This paper cites an unresolved cited work.

A study on Heisenberg-Weyl linear maps Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:44:14.825785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 3aa0689a-4019-4e62-9efa-00e8aa49d966 · outbound

This paper cites an unresolved cited work.

A study on Heisenberg-Weyl linear maps Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:44:14.681414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation e31945fa-fe1a-418e-a7c5-a3f77827d3fd · outbound

This paper cites 1, 105–113.

A study on Heisenberg-Weyl linear maps 1, 105–113

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:44:14.524859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation e1771fb8-68c6-4df0-b5b0-247807e68399 · outbound

This paper cites 1, 277–290.

A study on Heisenberg-Weyl linear maps 1, 277–290

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:44:14.380383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 7523b676-c8ec-41b2-8154-0f160431dafb · outbound

This paper cites an unresolved cited work.

A study on Heisenberg-Weyl linear maps Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:44:14.188188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 283ce9b3-971c-45c4-bea0-2c987e1163cf · outbound

This paper cites 5, 333–339.

A study on Heisenberg-Weyl linear maps 5, 333–339

Reference 16

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation f878855c-5223-4258-9eec-7a199d4b2589 · outbound

This paper cites an unresolved cited work.

A study on Heisenberg-Weyl linear maps Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:44:13.818078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 239cd121-594e-4978-9964-7bd24423c6a2 · outbound

This paper cites an unresolved cited work.

A study on Heisenberg-Weyl linear maps Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:44:13.636308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation a93aa616-c96b-4fc9-b82f-99beed655662 · outbound

This paper cites an unresolved cited work.

A study on Heisenberg-Weyl linear maps Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:44:13.468534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation d08cfa02-9744-45c2-ad2a-5607f1217812 · outbound

This paper cites an unresolved cited work.

A study on Heisenberg-Weyl linear maps Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:44:13.276926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:44:09.650835Z digest=sha256:971327eb17a8987a71febe4cbb44b6be37f7cb208d0fcd99b6f5c5c4c2f35aab

Observation ed7f3cf2-d02a-4f6a-9e95-0b46c73dde0a · outbound

This paper cites Majewski, On positive decomposable maps , Reports on Mathematical Physics 59 (2007), no.

A study on Heisenberg-Weyl linear maps Majewski, On positive decomposable maps , Reports on Mathematical Physics 59 (2007), no

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:44:13.083846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation e168328c-1a6e-40c3-8c4d-1247b199cbf5 · outbound

This paper cites an unresolved cited work.

A study on Heisenberg-Weyl linear maps Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:44:12.896166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation a50b6102-fe93-411e-8956-42b6330b02b6 · outbound

This paper cites Nielsen and Isaac L.

A study on Heisenberg-Weyl linear maps Nielsen and Isaac L

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:44:12.747627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:44:09.836503Z digest=sha256:79c7735ae8beeee28b363945ab6cf25549a0a75a61591bff3ef9171a02ec8115

Observation 4fe80e9e-6ac5-4430-b79f-e9b89b310c0b · outbound

This paper cites Osaka, Indecomposable positive maps in low dimensional matrix algebras , Linear Algebra and its Appli- cations 153 (1991), 73–83.

A study on Heisenberg-Weyl linear maps Osaka, Indecomposable positive maps in low dimensional matrix algebras , Linear Algebra and its Appli- cations 153 (1991), 73–83

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:44:12.565508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation c4de4292-e1a3-44ba-91db-3f7eed6fc7b9 · outbound

This paper cites an unresolved cited work.

A study on Heisenberg-Weyl linear maps Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:44:12.401069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation ed40c6d2-7663-4714-af18-7e3d6a383e69 · outbound

This paper cites an unresolved cited work.

A study on Heisenberg-Weyl linear maps Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:44:12.191872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 6d99ebc3-c117-4f23-9896-45beae6bd515 · outbound

This paper cites an unresolved cited work.

A study on Heisenberg-Weyl linear maps Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:44:12.040451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 8d8a78de-e84c-4d39-a36a-eb04a2f4202a · outbound

This paper cites 9, 094001.

A study on Heisenberg-Weyl linear maps 9, 094001

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:44:11.885880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:44:10.226599Z digest=sha256:83b88cef7d290b7041f103d8ac8eacdd3967325a04cc140c3fbada7da11ced2a

Observation 087056e7-0836-43e5-bf2b-7b9bfef985df · outbound

This paper cites Stinespring, Positive functions on c * -algebras , Proc.

A study on Heisenberg-Weyl linear maps Stinespring, Positive functions on c * -algebras , Proc

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:44:11.752515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:44:10.290221Z digest=sha256:2179bdcb172a82c6f37d97eb0b351dd15dc01f2b09570f7f9a2d2ce795fbcf50

Observation 611e693d-b625-485b-bbe3-394b999b40f2 · outbound

This paper cites Stormer, Positive linear maps of operator algebras , Springer Monographs in Physics; https://www.springer.com/gp/book/9783642343681, 2013.

A study on Heisenberg-Weyl linear maps Stormer, Positive linear maps of operator algebras , Springer Monographs in Physics; https://www.springer.com/gp/book/9783642343681, 2013

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-07T10:44:10.356672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:44:10.356672Z digest=sha256:608ca127d87e24359efd5059f9fb75ea69ea8e7c03579dbc45acabdcf16b8914

Observation e363a990-9193-4da5-a07f-0e6efd01fe57 · outbound

This paper cites 1, 233–278.

A study on Heisenberg-Weyl linear maps 1, 233–278

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:44:11.603679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:44:10.444882Z digest=sha256:fd5a9b24c4c495ce274919556f308cf20d0c7bfcff747360d6c0fa91b7d07acf

Observation d69f1dd7-cb19-4b4b-b7f1-bf4a1d791d89 · outbound

This paper cites an unresolved cited work.

A study on Heisenberg-Weyl linear maps Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:44:11.487790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:44:10.509313Z digest=sha256:4e5eb6f052bf642acf2843c9ec955b02e8e84823d143051104fd60a344b60115

Observation 15cee9cd-0cb7-4201-8a3d-255658bea99d · outbound

This paper cites an unresolved cited work.

A study on Heisenberg-Weyl linear maps Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:44:11.369415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:44:10.565193Z digest=sha256:267f69c7938611b4fbd7d7d23d72dfc859fccd1b94c28cf3ab73ba1a0f78b6a3

Observation 9010f683-8cf3-4ba4-997e-643ad8aa1439 · outbound

This paper cites Wilde, Quantum information theory , Cambridge University Press, 2013.

A study on Heisenberg-Weyl linear maps Wilde, Quantum information theory , Cambridge University Press, 2013

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:44:11.233244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:44:10.632281Z digest=sha256:b78a05f767b7f3d4cc339af409cb0262ae5c5369e381c89e4b614e364db86948

Observation eb408038-07e0-4d93-ab4c-069a0e6a1b0c · outbound

This paper cites Woronowicz, Positive maps of low dimensional matrix algebras , Reports on Mathematical Physics 10 (1976), no.

A study on Heisenberg-Weyl linear maps Woronowicz, Positive maps of low dimensional matrix algebras , Reports on Mathematical Physics 10 (1976), no

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:44:11.077395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:44:10.691141Z digest=sha256:202523078488538bca2bee3bfe40db66d90d9c125d623af1eb8de978f8b08650

Observation 89809624-107c-42ea-be3a-edbbbaa0edfb · outbound

This paper cites Zwolak and Dariusz Chru´ sci´ nski,New tools for investigating positive maps in matrix algebras , Reports on Mathematical Physics 71 (2013), no.

A study on Heisenberg-Weyl linear maps Zwolak and Dariusz Chru´ sci´ nski,New tools for investigating positive maps in matrix algebras , Reports on Mathematical Physics 71 (2013), no

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:44:10.967397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:44:10.754128Z digest=sha256:3181417f6d1425bda4e4ff95c319283d28afba3fd5aa05e719df0861e26193bf

Pith citing papers

No inbound Pith citation observations are available.