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Paper Citation Record · LEDGER

Entanglement in Quantum Systems Based on Directed Graphs

As of 23 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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T05:44:28.964230Z digest=sha256:d2f80a074ab4a556025a6c5bfa40cba2649439f8803b85f7b9f995c6df2e4d2f

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T05:44:29.006995Z digest=sha256:355c4778778424a3b01a0e456d239aea555880c9349bfe8c3f3f660b0303637e

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T05:44:29.088369Z digest=sha256:8173d246c4865c7affed9de16422ab824225ab6400354fb973f5aca1d274db9e

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=sha256:61aa90a433cca2c1cd120d8659780a987fb133002369c5c5cad6da88fe565b4b

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T05:44:29.211650Z digest=sha256:2b344801967d89b11f851e75012f529dfe188d879326ddc8353bd2de024e6fb1

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T05:44:29.325909Z digest=sha256:c2011833daede8c24c7771bc13aed526e9ca4bef01fdb6dcb2fdb78d44066cee

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T05:44:29.424935Z digest=sha256:2532742e7bb441887a3acb6019ea4cf7857d86a21d12463d83f883dabc119c06

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T05:44:29.502106Z digest=sha256:f9819618a981170805cd15e8814e3d37d0598867edfbf05bf02bdc1d97db8695

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T05:44:29.607235Z digest=sha256:991b2383858e514087cf94027afdf80845c4ffdbe748db697691614fdccc88bd

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T05:44:29.738862Z digest=sha256:93c1c2ecc00f921ee9ac2e17ad8eba19205081543c394692f598e0c0330bedd9

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T05:44:29.829204Z digest=sha256:c3ad7f7d25a24f48c6a2271716107c14cb577f952e06286256aa8a3ed8bd7dd0

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T05:44:29.896910Z digest=sha256:9f1762ecf5df1ebdf475a957ac487e2b76384e00486e2c4f6dc85e097abf0dfb

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T05:44:29.973241Z digest=sha256:454ea446bab2f8ba7c870b5ee5987b6e1785cb8647998be6cd4b31b4fca3b652

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:e0ae65299f2b15a20aa60fd8b468fafde59cfe333eb4df88413af48e4282119b

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T05:44:30.168243Z digest=sha256:6d7794c804751b4f50c6504a52c66923371ae0a00b78a195c3448f0f09df67f9

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T05:44:30.236232Z digest=sha256:a9c296bb56c4d95db88cf215ab976958af0ba7194df8a010ea4569ecc019b1ce

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=sha256:05219ed5004a295d7ff419335b3b5907396c81c543fcf5fa2c74909ce0d2481b

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T05:44:30.382373Z digest=sha256:195ed7cb062356a7242267b3184b8ede3cf0e5a6b4668c357665e8b26fd3801f

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T05:44:30.462472Z digest=sha256:a11affff3c6c33f8d7215db888fa03c85bbf61e0100a96e557ba270e7819c462

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T05:44:30.498368Z digest=sha256:5aaf9fafba07f27c5c242a2b719ba8dfabcdb7da445ebf8e780e3baefc8f24ba

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=sha256:37da990c2c2eec29a38c7b79069ab506a34c6344dda07408fe69e08978c20395

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=sha256:3012af938b63191f88eddf92cd329a2bbfae49cdbee879ec920d0d5651ce61fc

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

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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:fefdc0c7fd5f704fdfa43374908bd833a10e97591750bbd827a4da6b53fd2516

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T05:44:30.852189Z digest=sha256:6c2133c196255e69c267c22cdfac16fc9db8488ac79fb93aba10d93fe3bb7951

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=sha256:0c07fe1381c19ffa8f5f51998c3a54a4f8a8626d448a735ef8c052776dbd43ba

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T05:44:31.045954Z digest=sha256:67f4f2823fefaea344f797145a6cf1f2f733a1e2e6390793dc3868fe54a45817

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T05:44:31.106591Z digest=sha256:ac56b4b384914c7619371fd79ae13cfd814fae09cff50cea0f37f28d31cbb41c

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T05:44:31.190228Z digest=sha256:f6e97c4a894af1a43d7bb46286808352de5cc8671215cde87187159b12aae1d1

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T05:44:31.273067Z digest=sha256:51796f47de93f7300cfdc607008c9b3dccdfcd0e3f69c53b7b8db3a436d32f22

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T05:44:31.370803Z digest=sha256:a220c16b543ff596b81ee8cd6693af6ee0e12e84bf17074519e3f93211d7ce36

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T05:44:31.516123Z digest=sha256:61cd9ca81cb9cc8b6986ddde35b604d46d5aa2d86880e427cfa317b6a0e86397

Pith citing papers

No inbound Pith citation observations are available.