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Paper Citation Record · LEDGER

Entanglement in Quantum Systems Based on Directed Graphs

As of 8 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2509.05214.

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

pith.paper-citation-record.v1
2509.05214 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T05:44:31.516123Z

measured 31 of 31 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

31 of 31 outbound references displayed

  • verified exact4
  • verified fuzzy10
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1bf3f05a-c1e7-43e2-98c1-db6086416d02 · outbound

This paper cites Here, by |0⟩ and |1⟩ we denote the computational basis, i.e., the eigenstates of the σz operator with eigenvalues +1 and −1 respectively.

Entanglement in Quantum Systems Based on Directed Graphs Here, by |0⟩ and |1⟩ we denote the computational basis, i.e., the eigenstates of the σz operator with eigenvalues +1 and −1 respectively

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:44:35.496644Z

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=2026-08-05T05:44:28.964230Z digest=sha256:31beb22c75be9673c5e4a9e5c2e29a17332f9099b9ec096d3e3ad80d936c229f

Observation 778f8e91-f774-47be-b1aa-5da3f26e0047 · outbound

This paper cites an unresolved cited work.

Entanglement in Quantum Systems Based on Directed Graphs Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-05T05:44:35.308499Z

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=2026-08-05T05:44:29.006995Z digest=sha256:34b4c4a4a2bb9e9ea3e7b6324705e5dd586710ea43611d9ced506b30ef670ef0

Observation 07db2c9d-c95a-4281-86e2-c671d382c0d7 · outbound

This paper cites G¨ uhne and G.

Entanglement in Quantum Systems Based on Directed Graphs G¨ uhne and G

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:44:35.170437Z

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=2026-08-05T05:44:29.088369Z digest=sha256:084f1cdcd4ea64576680914f4ba43cf1a0f3c54c7946f6134e129de0a102b41c

Observation fc003b9e-bf79-49ed-8123-6e93efed14a3 · outbound

This paper cites Horodecki, P.

Entanglement in Quantum Systems Based on Directed Graphs Horodecki, P

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-05T05:44:29.135143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T05:44:29.135143Z digest=sha256:894b7f7f4ef1725571689d1b7abd9d3333f843ffcbde35fe56fd38c883011aa5

Observation 498f21c1-f7cd-4299-b2e9-2fdb295898c1 · outbound

This paper cites Cocchiarella, S.

Entanglement in Quantum Systems Based on Directed Graphs Cocchiarella, S

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:44:35.037479Z

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=2026-08-05T05:44:29.211650Z digest=sha256:7166286f8f225ac5f7d0c0ffe5afdb83693e2ea55e45278ca9a2659e0a5ff27b

Observation 196f1430-ac05-43b7-b05e-99a98a52d22b · outbound

This paper cites Vesperini, G.

Entanglement in Quantum Systems Based on Directed Graphs Vesperini, G

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:44:34.886425Z

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=2026-08-05T05:44:29.325909Z digest=sha256:9ee0479999b3444154ec974e10eb19d57fb0b864b76165243ccf6aa08af88af1

Observation dc087b2a-076f-4130-aaa6-8bd7b4b9757d · outbound

This paper cites Vafafard, A.

Entanglement in Quantum Systems Based on Directed Graphs Vafafard, A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:44:34.722516Z

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=2026-08-05T05:44:29.424935Z digest=sha256:c62d7739e0c8983cacff60a67642f1df04b72556601bde480b1d3c94e9b80c17

Observation 0594ae9f-4ec2-4377-b6dd-c40407748438 · outbound

This paper cites Nourmandipour, A.

Entanglement in Quantum Systems Based on Directed Graphs Nourmandipour, A

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:44:34.641653Z

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=2026-08-05T05:44:29.502106Z digest=sha256:f061c3da172b5e30af66755c7e0fd9b415b0768a373643940da39402ee6b5bb8

Observation 871ef716-2e1e-4eb1-b60f-8e5b9335b641 · outbound

This paper cites Vesperini, G.

Entanglement in Quantum Systems Based on Directed Graphs Vesperini, G

Reference 9

Resolution
verified exact
doi, observed 2026-08-05T05:44:31.951744Z

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=2026-08-05T05:44:29.607235Z digest=sha256:f7fb04f50fe7728d10e1aa131d92963c267744303a567b3d72b1d48c928652eb

Observation 04eba1c7-0db1-47e7-9cef-0d1c5b34c201 · outbound

This paper cites Vesperini, Correlations and projective measurements in maximally entangled multipartite states, Annals of Physics 457, 169406 (2023).

Entanglement in Quantum Systems Based on Directed Graphs Vesperini, Correlations and projective measurements in maximally entangled multipartite states, Annals of Physics 457, 169406 (2023)

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:44:34.512279Z

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=2026-08-05T05:44:29.738862Z digest=sha256:9fff41b834922c6b1ae0048bb4d2678a64113ef039554029c84df8447f472599

Observation 4a918953-fcd2-4696-bc63-35b632231250 · outbound

This paper cites Vesperini, G.

Entanglement in Quantum Systems Based on Directed Graphs Vesperini, G

Reference 11

Resolution
verified exact
doi, observed 2026-08-05T05:44:31.702010Z

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=2026-08-05T05:44:29.829204Z digest=sha256:6f795ebcb990130bd0c2da3b635a9191ce05aed6cf2debb4bdc57bee15158ea8

Observation a2508a4e-78b0-4685-a7cb-d2479fdf2f0a · outbound

This paper cites an unresolved cited work.

Entanglement in Quantum Systems Based on Directed Graphs Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-05T05:44:34.385565Z

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=2026-08-05T05:44:29.896910Z digest=sha256:e3ed45f8f67fcee9e29256d5d221191bd315df4d056949c3f504fe12bd053e43

Observation 84c8cee7-f159-474c-a76b-0186bce2bd85 · outbound

This paper cites an unresolved cited work.

Entanglement in Quantum Systems Based on Directed Graphs Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-05T05:44:34.235812Z

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=2026-08-05T05:44:29.973241Z digest=sha256:a3cb18e4386df0a5b841ad9182e682d7e93c8ba6cbf437f5b28f0a5002de9ba9

Observation 36f2eaf0-49c7-45bc-981b-c60040e5e16b · outbound

This paper cites Entanglement in Graph States and its Applications.

Entanglement in Quantum Systems Based on Directed Graphs Entanglement in Graph States and its Applications

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-05T05:44:30.088116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T05:44:30.088116Z digest=sha256:d09b3c4f139afedd999404776ff9ef552cab7f83f24d7974361b95edd8c4637e

Observation 0dd34cfa-bd15-4c24-9ddb-6bc32f33be69 · outbound

This paper cites Raussendorf and T.-C.

Entanglement in Quantum Systems Based on Directed Graphs Raussendorf and T.-C

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:44:34.098260Z

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=2026-08-05T05:44:30.168243Z digest=sha256:dd1374c8ed645393ffea2324e2a9e039747719ad0d40966619a2a03da4c9f976

Observation 40a4ffd2-e87e-44c5-bd10-60b92b4d9c6d · outbound

This paper cites P lodzie´ n, M.

Entanglement in Quantum Systems Based on Directed Graphs P lodzie´ n, M

Reference 16

Resolution
verified exact
raw_fallback, observed 2026-08-05T05:44:32.551375Z

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=2026-08-05T05:44:30.236232Z digest=sha256:bff34ec6412f5c5092b156b52ce75ee03c14b0578f4955300dce5e0724c8e80d

Observation a2a777bb-2d25-48f8-9777-4105fbda12ab · outbound

This paper cites Raussendorf and H.

Entanglement in Quantum Systems Based on Directed Graphs Raussendorf and H

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-05T05:44:30.308757Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T05:44:30.308757Z digest=sha256:e0fde43f9b25b9bc790fb88491eaa71ec7d44431e3077d92f0540267f51c1a7c

Observation 2ec0f94e-9083-4b6c-a4b4-fad978a7e1fc · outbound

This paper cites an unresolved cited work.

Entanglement in Quantum Systems Based on Directed Graphs Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-05T05:44:33.938831Z

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=2026-08-05T05:44:30.382373Z digest=sha256:e0c6392641998751d097dac1f6ee68d732b3366ac1ca2f314a0ed175d0898267

Observation 8efc47fb-9758-49a5-9d35-645fdc33975a · outbound

This paper cites Markham and B.

Entanglement in Quantum Systems Based on Directed Graphs Markham and B

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:44:33.809484Z

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=2026-08-05T05:44:30.462472Z digest=sha256:a298ba39b3f403c128da194989740f97747cd0481373c85c104680d4e8e7527b

Observation 018c8577-e6e5-4172-aedf-ba23f57d771b · outbound

This paper cites Entanglement in Directed Graph States.

Entanglement in Quantum Systems Based on Directed Graphs Entanglement in Directed Graph States

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-05T05:44:32.235752Z

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=2026-08-05T05:44:30.498368Z digest=sha256:536b495d2598fdec221437e209f9f2158e017561b35a99ec7cf5a98a6bdb12fb

Observation 51dd7f84-9035-471d-a66d-22bda80a1f21 · outbound

This paper cites Quantum Graph Neural Networks.

Entanglement in Quantum Systems Based on Directed Graphs Quantum Graph Neural Networks

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-05T05:44:30.568944Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T05:44:30.568944Z digest=sha256:66bea75ca94ef341fede334de75714c3c9fa0c3cd7ccaa6bd8af7dc6d0c9249b

Observation 3a6f9dbd-cb9b-4b92-acc5-929fca88ef2a · outbound

This paper cites Graph Neural Networks on Quantum Computers.

Entanglement in Quantum Systems Based on Directed Graphs Graph Neural Networks on Quantum Computers

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-05T05:44:30.636157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T05:44:30.636157Z digest=sha256:e3e9a4ff01cc8f0674877620717d913b5e97da79d6a44b682f4c78e64d29d84c

Observation baa80928-291c-4993-b78f-1b634a779d86 · outbound

This paper cites From Graphs to Qubits: A Critical Review of Quantum Graph Neural Networks.

Entanglement in Quantum Systems Based on Directed Graphs From Graphs to Qubits: A Critical Review of Quantum Graph Neural Networks

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-05T05:44:30.750544Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T05:44:30.750544Z digest=sha256:1508b9181d8409051a0284680c94a6d1c4490c171cba76ce9d76a88a72a9f85a

Observation eec80f16-6a8f-45b5-af18-64901532dfdd · outbound

This paper cites an unresolved cited work.

Entanglement in Quantum Systems Based on Directed Graphs Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-05T05:44:33.731985Z

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=2026-08-05T05:44:30.852189Z digest=sha256:d91a7e6fe548072ca45ced87d3f04456f28f598cbcc3c0dc2773abecb972a897

Observation 302e4c59-fc91-43a0-bd07-0f3bcaae8ee6 · outbound

This paper cites Stabilizer Codes and Quantum Error Correction.

Entanglement in Quantum Systems Based on Directed Graphs Stabilizer Codes and Quantum Error Correction

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-05T05:44:30.952591Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T05:44:30.952591Z digest=sha256:36405b89c8f6eb3dcd05093d8e75f2d5544becf4722a6c81892f045ce809dda4

Observation 518887f0-2014-42d2-abc7-6bd37778ff36 · outbound

This paper cites an unresolved cited work.

Entanglement in Quantum Systems Based on Directed Graphs Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-05T05:44:33.609483Z

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=2026-08-05T05:44:31.045954Z digest=sha256:81709440df0c18095a59e11b65748c77e0c0fbf90c4dc5132b182448bc5dabb9

Observation a9811c9e-9724-4b58-a40e-0a0393b64311 · outbound

This paper cites D¨ ur, G.

Entanglement in Quantum Systems Based on Directed Graphs D¨ ur, G

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:44:33.506824Z

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=2026-08-05T05:44:31.106591Z digest=sha256:e2f0d9dffb98b1ae4ba7afe38c019c927626cfa192eb02ad19b5b68243c339dd

Observation d1df62ea-5530-45eb-86db-19766c820004 · outbound

This paper cites an unresolved cited work.

Entanglement in Quantum Systems Based on Directed Graphs Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-05T05:44:33.406815Z

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=2026-08-05T05:44:31.190228Z digest=sha256:c3e69cf66200ed18a1f2239f3ec5cd6561447af307a2677ee222d56dd0099ae4

Observation 9a2c2ca0-75fd-465d-9c4f-c836c0d157d8 · outbound

This paper cites an unresolved cited work.

Entanglement in Quantum Systems Based on Directed Graphs Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-05T05:44:33.279936Z

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=2026-08-05T05:44:31.273067Z digest=sha256:e91a25829694a846d6405fc54d8918f028c0adcaeda1c4f9452d0f3cb22ae2a8

Observation 0be8f564-5899-4213-b830-ff50302206c8 · outbound

This paper cites an unresolved cited work.

Entanglement in Quantum Systems Based on Directed Graphs Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-05T05:44:33.088230Z

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=2026-08-05T05:44:31.370803Z digest=sha256:392a1474cb36397308a41103c8ac14fb0011fac0f45d7e3c203270ae75dc9d31

Observation 26f444aa-3a27-4d73-814d-2f22c3fe0faf · outbound

This paper cites an unresolved cited work.

Entanglement in Quantum Systems Based on Directed Graphs Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-05T05:44:32.803995Z

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=2026-08-05T05:44:31.516123Z digest=sha256:7bc54cf5ec70264fe401840183fbe0a30e1a206841ac2bfb2bb0348b5f0cd467

Pith citing papers

No inbound Pith citation observations are available.