Pith. sign in

Paper Citation Record · LEDGER

Average relative entropy of random states

As of 19 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2509.21846.

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

pith.paper-citation-record.v1
2509.21846 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:58:08.515111Z

measured 29 of 29 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 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

29 of 29 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved21
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation eb220139-ae60-404b-b064-2e6dc481aabc · outbound

This paper cites an unresolved cited work.

Average relative entropy of random states Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:58:08.940028Z

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.

source=pdf_text observed=2026-08-15T15:58:08.383503Z digest=sha256:1106371088f6bc5c2e2cb94f36dfe44deeabf0c09992b5bc66c61343e53aa084

Observation c32f6d92-457e-4829-befb-5038928a3f1c · outbound

This paper cites PRX Quantum2, 030316 (2021).

Average relative entropy of random states PRX Quantum2, 030316 (2021)

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:58:08.927695Z

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.

source=pdf_text observed=2026-08-15T15:58:08.389078Z digest=sha256:130d111ade7764b140fa1e3595f4e96749fc9894d16cb502f3cfd7b608ccfa3f

Observation b2aac63f-0834-4d00-af3f-98a3452c799d · outbound

This paper cites Notices Amer.

Average relative entropy of random states Notices Amer

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:58:08.914294Z

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.

source=pdf_text observed=2026-08-15T15:58:08.393888Z digest=sha256:dc0461961d7bfe85610ead6eff4e5b2c6e48ccf4d38eacaaa74a8569177e5520

Observation 64b9f23b-b63b-4e23-9e1f-7deede578950 · outbound

This paper cites Nature613, 468 (2023).

Average relative entropy of random states Nature613, 468 (2023)

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:58:08.900727Z

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.

source=pdf_text observed=2026-08-15T15:58:08.398938Z digest=sha256:8258f18e810fe4495fe9ac437e7e004bdde617f9f8ef76d0c044262cf33e2d1b

Observation ba225219-4bdd-46f1-98cb-9bf0044ae46f · outbound

This paper cites CRC Press, Boca Raton (2008).

Average relative entropy of random states CRC Press, Boca Raton (2008)

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:58:08.887013Z

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.

source=pdf_text observed=2026-08-15T15:58:08.404091Z digest=sha256:c95f24b17a2f9ff9a733a7dbf441afe8ff9137db3167679e2b686aa140c2d24e

Observation c8acf456-4582-47be-811c-d1888ad75c70 · outbound

This paper cites an unresolved cited work.

Average relative entropy of random states Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:58:08.872169Z

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.

source=pdf_text observed=2026-08-15T15:58:08.408842Z digest=sha256:78fe0baa23ae3bfd54108bc3562220bd13cdf7cb592e907090537377fe5715cf

Observation 762c6d23-c972-4f84-9daf-279958951ae7 · outbound

This paper cites Princeton University Press, Princeton (2010).

Average relative entropy of random states Princeton University Press, Princeton (2010)

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:58:08.859905Z

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.

source=pdf_text observed=2026-08-15T15:58:08.414224Z digest=sha256:6d64c6b38869561e0fa8e81ec7523af021ef56f7f7fffa514426cb17d9b682fc

Observation d935210f-a5f8-469a-b929-9bc43be426c5 · outbound

This paper cites an unresolved cited work.

Average relative entropy of random states Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:58:08.845963Z

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.

source=pdf_text observed=2026-08-15T15:58:08.419138Z digest=sha256:5ef4a9153ba67be561dad6e6c99c922ccdfac4b28f8853dc0877eb2209767965

Observation 7043410f-b549-4b95-a00b-b088b0c46ceb · outbound

This paper cites an unresolved cited work.

Average relative entropy of random states Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:58:08.831885Z

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.

source=pdf_text observed=2026-08-15T15:58:08.423460Z digest=sha256:b9cbeeb9b72e01947a51b015c5de34e38049e98ad570dc2e7b4cfb82f23b4de5

Observation ce49761f-160e-4ae8-ba69-dd89a2b33a33 · outbound

This paper cites an unresolved cited work.

Average relative entropy of random states Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:58:08.817952Z

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.

source=pdf_text observed=2026-08-15T15:58:08.428417Z digest=sha256:6d25bc72b03db8ca6672347a7b03d6def95d0780c2b7c311a776acfc885a38c4

Observation ad132ef6-e83a-40bd-a8c2-f2d0ca0e9d1f · outbound

This paper cites an unresolved cited work.

Average relative entropy of random states Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-15T15:58:08.433167Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:58:08.433167Z digest=sha256:318eeda3226c00b7f9bb8c98c99c9f7f2cea5d4a6b1f8ca3e46a188fa1225ada

Observation cb79f13e-8980-4773-a8b7-b9c40fd30103 · outbound

This paper cites an unresolved cited work.

Average relative entropy of random states Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:58:08.795621Z

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.

source=pdf_text observed=2026-08-15T15:58:08.438024Z digest=sha256:81be21362dc57e48198e71681890ff415033e81259f1808733b58ce78c884b8b

Observation 1a43fc9a-fa01-40bd-afe4-27f6e4a44af3 · outbound

This paper cites Cumulant Structures of Entanglement Entropy.

Average relative entropy of random states Cumulant Structures of Entanglement Entropy

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-15T15:58:08.443430Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:58:08.443430Z digest=sha256:1f3bd1c1975a3df63f67c66f9402332532a754e13841f61f187aaec1276dc99a

Observation 1f9f3926-a77b-4244-ad63-fb789826e32b · outbound

This paper cites an unresolved cited work.

Average relative entropy of random states Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:58:08.782672Z

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.

source=pdf_text observed=2026-08-15T15:58:08.448728Z digest=sha256:79bf2acd9dfdcbfa236bf73427d52edea4990421b0c46d652fc0c001c164dd02

Observation 605fde39-2c16-4447-a98b-912449ff7eb1 · outbound

This paper cites an unresolved cited work.

Average relative entropy of random states Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:58:08.770541Z

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.

source=pdf_text observed=2026-08-15T15:58:08.453453Z digest=sha256:cdbcc70ede02726acae8b1f4b7ce750e5c4dbd498c74d183e690053d0784228b

Observation ed6ce983-d4c7-4c6c-93c0-7bac203eb7f7 · outbound

This paper cites an unresolved cited work.

Average relative entropy of random states Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:58:08.756608Z

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.

source=pdf_text observed=2026-08-15T15:58:08.458353Z digest=sha256:dff7e1d6204be6e59ba939ae764fa45eff05be6fdb920ef3f05970cd42df77c7

Observation 71a2361f-a0ee-4106-a2af-e2896e47ad09 · outbound

This paper cites Cambridge University Press, Cambridge (2017).

Average relative entropy of random states Cambridge University Press, Cambridge (2017)

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:58:08.742678Z

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.

source=pdf_text observed=2026-08-15T15:58:08.463019Z digest=sha256:7393a28437d35d96212e7d53f36299969e75a7da2bcd1a0947b9c46bc6dede61

Observation f07ebfe9-c4d1-4d3f-a715-55e24425cf8c · outbound

This paper cites Oxford University Press, Oxford (1998).

Average relative entropy of random states Oxford University Press, Oxford (1998)

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:58:08.729068Z

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.

source=pdf_text observed=2026-08-15T15:58:08.467575Z digest=sha256:3833968396fa9e2dbbe1a6fdf0bd743b2f4a3779f67b5dde7c3e77b135a4b606

Observation 5c2f00ff-c281-4a62-a60e-d1ca0958f624 · outbound

This paper cites World Scientific, Singapore (1997).

Average relative entropy of random states World Scientific, Singapore (1997)

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:58:08.714765Z

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.

source=pdf_text observed=2026-08-15T15:58:08.472026Z digest=sha256:177c891ee76ffe6fa06bb43bbb01e816b9c92923e3253cd1edf390db6051515b

Observation 65529a24-b283-4228-87fb-d160851cb6ca · outbound

This paper cites an unresolved cited work.

Average relative entropy of random states Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:58:08.700835Z

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.

source=pdf_text observed=2026-08-15T15:58:08.476641Z digest=sha256:9b12b762b0d1c1fac9a72e65d98393958d21f6f8545b412ff71468ae0df8d56b

Observation 73ebc1b0-30f5-4ce7-851f-99b484802c50 · outbound

This paper cites an unresolved cited work.

Average relative entropy of random states Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:58:08.688157Z

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.

source=pdf_text observed=2026-08-15T15:58:08.481746Z digest=sha256:771f81097b0ce233bbb7f6d14e62c8d68587cf7598001eb631ddbeb65d3a6429

Observation 2adb2f30-05ab-4acc-9e6b-08250b09caa5 · outbound

This paper cites an unresolved cited work.

Average relative entropy of random states Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:58:08.675035Z

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.

source=pdf_text observed=2026-08-15T15:58:08.486667Z digest=sha256:ed4ebf5c3618b97fa1f2ddb35971dbe384aec44cf8b5686c6b98ea30a22f658a

Observation 6592e45d-9c8d-46ec-b7cf-86ff3b84b623 · outbound

This paper cites an unresolved cited work.

Average relative entropy of random states Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:58:08.658955Z

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.

source=pdf_text observed=2026-08-15T15:58:08.491302Z digest=sha256:1cacf47d27815c1a1ef7cfc120231064ae2813b0779dc102f0d45850d61af30b

Observation 78b8c583-d92e-4e7a-85f2-0f59622c1cf6 · outbound

This paper cites an unresolved cited work.

Average relative entropy of random states Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:58:08.641103Z

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.

source=pdf_text observed=2026-08-15T15:58:08.495921Z digest=sha256:b857fe180b24c147389acc9481063fa3fb6cb934512026c473a2eef73fe1e2d3

Observation f12c1e3e-d320-44fd-88b3-243f8cdab00e · outbound

This paper cites an unresolved cited work.

Average relative entropy of random states Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:58:08.625849Z

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.

source=pdf_text observed=2026-08-15T15:58:08.499614Z digest=sha256:073c0818d4969498ff5f3d9c430988630deecc7ed4b6086bf40fcd01f04c0c75

Observation 922b3798-90e2-452d-ba40-f3b5b5a31ccd · outbound

This paper cites an unresolved cited work.

Average relative entropy of random states Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:58:08.613170Z

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.

source=pdf_text observed=2026-08-15T15:58:08.503346Z digest=sha256:85ce7c1a3c85e16acb3c91a158583a470cd49e8811f746f0554df1687d98775a

Observation df14695a-7955-4670-bdd1-4c8e97ab3e2c · outbound

This paper cites an unresolved cited work.

Average relative entropy of random states Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:58:08.599982Z

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.

source=pdf_text observed=2026-08-15T15:58:08.507132Z digest=sha256:c561ca558ba8bbd8835d23323cceac519204061f2de449d395bb336930d92255

Observation 67d5a609-2dfe-4b70-9bcd-b6513eb46435 · outbound

This paper cites an unresolved cited work.

Average relative entropy of random states Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:58:08.583001Z

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.

source=pdf_text observed=2026-08-15T15:58:08.510832Z digest=sha256:f79fb1f67020a8e828a6462932a0010a26375f421b87f1080f1b261a45d66c9b

Observation 9cced41f-bac1-4c0f-9816-ef95470fcab7 · outbound

This paper cites Skewness of von Neumann entropy over Bures-Hall random states.

Average relative entropy of random states Skewness of von Neumann entropy over Bures-Hall random states

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-15T15:58:08.515111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:58:08.515111Z digest=sha256:aadebe7113293ceb15f6452cdf01aed02191349644b70747c9b1ab48e04ed3df

Pith citing papers

No inbound Pith citation observations are available.