Pith. sign in

Paper Citation Record · LEDGER

Entropy and singular-value moments of products of truncated random unitary matrices

As of 15 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:2501.11085.

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

pith.paper-citation-record.v1
2501.11085 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T18:46:11.095858Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-11T03:39:03.337550Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-11T03:47:48.815189Z

Reference resolution

35 of 35 outbound references displayed

  • verified exact1
  • verified fuzzy16
  • unresolved18
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 99a7cd8a-b4cc-42e9-8ddf-7955c514b3de · outbound

This paper cites Wilkinson and J.

Entropy and singular-value moments of products of truncated random unitary matrices Wilkinson and J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:46:12.291261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:10.700678Z digest=sha256:98788b032f4267905276f4b1f23ed03430ab865c23ee690df33ab45ed8f24019

Observation 2c9356a6-c7c1-40dc-8dcc-f6a8e245636c · outbound

This paper cites von Neumann, On rings of operators.

Entropy and singular-value moments of products of truncated random unitary matrices von Neumann, On rings of operators

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:46:12.246541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:10.707525Z digest=sha256:032bfe637215b547fba642c819dc9ec3af7db14610c02dd521f6f627f3d84d77

Observation 448e70ec-f02b-4597-ba48-0fc36a391768 · outbound

This paper cites Halperin, The product of projection operators, Acta Sci.

Entropy and singular-value moments of products of truncated random unitary matrices Halperin, The product of projection operators, Acta Sci

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:46:12.190034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:10.714632Z digest=sha256:60dced39ad758eb941462ad1b6982242b11f168826ee63819899d453940ab721

Observation 9d540cf6-2a8d-4877-9a2c-a2f22db7c12e · outbound

This paper cites The Method of Alternating Projections.

Entropy and singular-value moments of products of truncated random unitary matrices The Method of Alternating Projections

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-10T18:46:11.231336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:10.730922Z digest=sha256:d8a031da11cc344753ca6d5c8b48f85e24da53f8af4e4ac7f13dc6c46674df3b

Observation 69a112d1-58ec-4881-9a66-0262d8df6424 · outbound

This paper cites Crisanti, G.

Entropy and singular-value moments of products of truncated random unitary matrices Crisanti, G

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:46:12.168663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:10.739892Z digest=sha256:4b6668b8a3e5d347c4957e02d0e5b8b780c98a3bc8d4f688bcfe1ce884bcaaf4

Observation 60e2f0b0-4d97-441b-b6cd-9ab7865d794d · outbound

This paper cites Akemann, Z.

Entropy and singular-value moments of products of truncated random unitary matrices Akemann, Z

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:46:12.144060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:10.751282Z digest=sha256:6b1629d9a92c4f43d964e7bf2ed213faf7a7893246d45734c70d8e5ede30123f

Observation c8ef8794-f993-43ed-a7dc-0dd27f221247 · outbound

This paper cites Akemann and J.

Entropy and singular-value moments of products of truncated random unitary matrices Akemann and J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:46:12.104453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:10.759518Z digest=sha256:d4803547f92fa4fc84b757128d2dbb7dd864e572c1aafa8ac897f774eda89aa4

Observation e21cf51d-9d0d-43c3-abe8-db3267f62c32 · outbound

This paper cites an unresolved cited work.

Entropy and singular-value moments of products of truncated random unitary matrices Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:46:12.063606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:10.780204Z digest=sha256:e44799988ae85282d7a8001b70af55c26e211c975f61a4f44bbcc57975653c59

Observation 8faeb664-b201-49b9-a51e-30d9e53c7509 · outbound

This paper cites Adhikari, N.

Entropy and singular-value moments of products of truncated random unitary matrices Adhikari, N

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:46:12.028386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:10.813111Z digest=sha256:3a44ac87253398df42ad0a66efed214c9014b5f1653b7cd81edacddef15a08ec

Observation 7922a9bf-3f09-4ee2-823c-3a39a52ef162 · outbound

This paper cites Kieburg, A.

Entropy and singular-value moments of products of truncated random unitary matrices Kieburg, A

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:46:12.008159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:10.820512Z digest=sha256:cbf29525785b15ce8e354c492b556ba242d7aa109dab669bc76a65a14a2bb716

Observation 5143d5bc-e614-4e6d-bb48-a83be4730ba9 · outbound

This paper cites an unresolved cited work.

Entropy and singular-value moments of products of truncated random unitary matrices Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:46:11.987855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:10.827148Z digest=sha256:293fa902320b0579b8117f8dc8270937cccbadeddab6027569e4ddd1996fdab9

Observation e08a0d65-10df-40e8-b6f8-bc52bf455b12 · outbound

This paper cites Adhikari and A.

Entropy and singular-value moments of products of truncated random unitary matrices Adhikari and A

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:46:11.975033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:10.839913Z digest=sha256:a047384c037a595d58bf3cae3c4b0419df323fe5461b0aba5eb7bb44244fe6e8

Observation 9217f385-a079-4b22-aa73-041427dbee50 · outbound

This paper cites Giacomin, Random Matrix Products and the Statis- tical Mechanics of Disordered Systems (2024).

Entropy and singular-value moments of products of truncated random unitary matrices Giacomin, Random Matrix Products and the Statis- tical Mechanics of Disordered Systems (2024)

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:46:11.941274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:10.854141Z digest=sha256:7a7418c48b1d6ca61445f7608cc1cec4a047167f6be2c4a5b2c73011c7666939

Observation d458fedd-bd16-4f1c-b458-be95f251c1db · outbound

This paper cites an unresolved cited work.

Entropy and singular-value moments of products of truncated random unitary matrices Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:46:11.917745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:10.860673Z digest=sha256:85a4cb34e045c58ffed7cec1c6f1a978ad0ca7d6e0dfd4f2fca2efe4192f5bdc

Observation a75d8465-9194-4b69-8345-683023224994 · outbound

This paper cites an unresolved cited work.

Entropy and singular-value moments of products of truncated random unitary matrices Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:46:11.890563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:10.868818Z digest=sha256:c83ddf5460944778fa72d3c84344450ec765bc1f88d51bd3716773038bff699e

Observation ee94ee3c-e540-4071-ab9f-60cdfc28a5b5 · outbound

This paper cites Gerbino, P.

Entropy and singular-value moments of products of truncated random unitary matrices Gerbino, P

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:46:11.865657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:10.884681Z digest=sha256:91d069dbd65810822148ab81867d26baaf6b2f2a55c17bf622d29e23a12598de

Observation 2f3d27a9-7982-4f98-9de2-b65549e4a359 · outbound

This paper cites Universality classes for purification in nonunitary quantum processes.

Entropy and singular-value moments of products of truncated random unitary matrices Universality classes for purification in nonunitary quantum processes

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-10T18:46:10.898123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T18:46:10.898123Z digest=sha256:21f3e3463f5a534410e30968127baa44808b3734e740669f206deaaa4dfdcc8d

Observation e2da0f63-218c-41ad-8064-32157361801f · outbound

This paper cites an unresolved cited work.

Entropy and singular-value moments of products of truncated random unitary matrices Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:46:11.833116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:10.912027Z digest=sha256:20ee404dc2196b9c61bcb91ee1cf8b4634f1591efdf6b8f87e54474cc2af4610

Observation 859e7d3a-e901-4a1e-aad4-4efef681fc03 · outbound

This paper cites an unresolved cited work.

Entropy and singular-value moments of products of truncated random unitary matrices Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-10T18:46:10.918656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T18:46:10.918656Z digest=sha256:9a6b1ba2ac619f6ae2781942764bfee3e272b805f76281736f3d28c07f718981

Observation 2e4a4e13-64f8-4ead-9f54-028d20840c63 · outbound

This paper cites Skinner, J.

Entropy and singular-value moments of products of truncated random unitary matrices Skinner, J

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-10T18:46:10.928546Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T18:46:10.928546Z digest=sha256:137479ad92d8ba4bf25e3d4fd0bd2697ef147866f24a0d9b14817eb5f62d15a0

Observation ae0b6edf-cf7f-442d-900b-13866e431c10 · outbound

This paper cites Szyniszewski, A.

Entropy and singular-value moments of products of truncated random unitary matrices Szyniszewski, A

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:46:11.755079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:10.934091Z digest=sha256:7e08812bfa9530b98ddfc250b9228b9607ca13180ae4c008511a8fcd1ec3b3b8

Observation ce825476-4c0c-47bb-97b0-5df509d7c8b5 · outbound

This paper cites an unresolved cited work.

Entropy and singular-value moments of products of truncated random unitary matrices Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:46:11.719864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:10.940842Z digest=sha256:700c476ed20559c7c970d6ffe75e0dabd55779a16960863f6933adb3715cd6fe

Observation 7d654a09-3137-4713-a5e9-3ea9b73ba2ad · outbound

This paper cites an unresolved cited work.

Entropy and singular-value moments of products of truncated random unitary matrices Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:46:11.665326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:10.948757Z digest=sha256:dbf106a08a0dd1f4f7ff2325f51ae4ec32fcf618c6c2aafbfc8c7975aa75b222

Observation 02cc744f-aad5-40cb-80b2-834885644ebb · outbound

This paper cites an unresolved cited work.

Entropy and singular-value moments of products of truncated random unitary matrices Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:46:11.625566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:10.961335Z digest=sha256:4b8278606df6c48edcffd842f8222e576da529694f8fb9fae7fa391f3d6bd4a2

Observation 44ec420b-cdda-472a-ad82-22a39a7b8435 · outbound

This paper cites an unresolved cited work.

Entropy and singular-value moments of products of truncated random unitary matrices Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:46:11.599156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:10.966093Z digest=sha256:680ed73192252a13613c062be5341f19b4b6d6ac7cba8fcb315b4bc9ed96921b

Observation 211d4d9e-108c-492d-9f3f-a0d1eef66f98 · outbound

This paper cites Zyczkowski and H.-J.

Entropy and singular-value moments of products of truncated random unitary matrices Zyczkowski and H.-J

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:46:11.578438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:10.972582Z digest=sha256:db868746e28e121abd3917f516d48f3fb177b7ef040b91d3a749d9e1fa6fd1af

Observation cd72b33e-3e19-456c-9aba-4ad36d4b68c1 · outbound

This paper cites an unresolved cited work.

Entropy and singular-value moments of products of truncated random unitary matrices Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:46:11.547336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:10.976740Z digest=sha256:a1caf74d8ad0978d4eafd1952dbfb942ef44bcc6515c3e67d071584394f58e54

Observation 444581f3-bbe5-4add-aaef-a47e195ab86e · outbound

This paper cites an unresolved cited work.

Entropy and singular-value moments of products of truncated random unitary matrices Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:46:11.508001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:10.988094Z digest=sha256:52862a6b9797c073b061655038d285a7a633494b209a4fbf1be8cb517ca777d3

Observation 1963ecf8-ab01-4ee5-9fe4-b21eee46aa76 · outbound

This paper cites an unresolved cited work.

Entropy and singular-value moments of products of truncated random unitary matrices Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:46:11.480549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:11.002452Z digest=sha256:899f918f6a3ffe75da55d5b7958010c42cafe7b0a66c8e557c6b8388156d91b3

Observation d392ad18-e889-4744-81f5-01b714fc3b42 · outbound

This paper cites The +1 slightly improves the agreement.

Entropy and singular-value moments of products of truncated random unitary matrices The +1 slightly improves the agreement

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:46:11.434530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:11.007737Z digest=sha256:2321770582c1dc7d3a1c926d2363a8682bf5165eaa5f8007d9c4286f12769ad2

Observation c55de4be-c1f4-4403-ae43-74c6fa9197a8 · outbound

This paper cites Ferreira, J.

Entropy and singular-value moments of products of truncated random unitary matrices Ferreira, J

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:46:11.386818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:11.022819Z digest=sha256:20b926e8835123c0cd993d403c89c6fa44b4ea2accc43080b40093083e9f7b07

Observation 049a940a-b5cc-40e4-b6f1-9b8eca161a88 · outbound

This paper cites an unresolved cited work.

Entropy and singular-value moments of products of truncated random unitary matrices Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:46:11.332777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:11.035571Z digest=sha256:9069ef300bceb70f575ee9acb2f4a4e557d3c5916d5a334479345d720b55d6aa

Observation b5efaaf3-56a9-4710-91a4-245d98d556b7 · outbound

This paper cites Survey of a Class of Iterative Row-Action Methods: The Kaczmarz Method.

Entropy and singular-value moments of products of truncated random unitary matrices Survey of a Class of Iterative Row-Action Methods: The Kaczmarz Method

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-10T18:46:11.054944Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T18:46:11.054944Z digest=sha256:880c8294c98e39c65d6b9fad41be4615bf3d6421dba65a525f940f19949bd25d

Observation cbe3c24a-9c8a-4c05-9d70-531a8b8ec5a1 · outbound

This paper cites Popa, Convergence rates for Kaczmarz-type algo- rithms, Numer.

Entropy and singular-value moments of products of truncated random unitary matrices Popa, Convergence rates for Kaczmarz-type algo- rithms, Numer

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:46:11.297870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:11.091048Z digest=sha256:f30f775e0e1ed7976f6590f97f6858dc55e99d5fd0bb36f0aeaec26a6fd32771

Observation 913f5770-62e2-4955-9ea1-534f5afbf06c · outbound

This paper cites an unresolved cited work.

Entropy and singular-value moments of products of truncated random unitary matrices Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:46:11.258537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T18:46:11.095858Z digest=sha256:77289e8774645fa59a97e25f61ccf108dc1fc7514844d8eb1f9a139e01807665

Pith citing papers

Observation 5a63b106-85d0-4605-97d6-3fba3708ff02 · inbound

Free Multiplicative Convolution and Erlang Moments in Monitored Quantum Transport cites this paper.

Free Multiplicative Convolution and Erlang Moments in Monitored Quantum Transport Entropy and singular-value moments of products of truncated random unitary matrices

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-07-11T03:47:48.840432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-11T03:39:03.337550Z digest=sha256:c7ecf15714ecb0c0cfc8c9a674b7597c6faae254d262a2d597be8c2e0777dce1