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Paper Citation Record · LEDGER

Entanglement in Quantum Systems Based on Directed Graphs

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T05:44:28.964230Z digest=sha256:6c5c83b82aa10b15593234c47a8bc1a29bae3d7c3f3c44119e3c643947bf5f2e

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T05:44:29.006995Z digest=sha256:370154a0f675b52d63fcc1789e11ccd7e6fd31a8d2eb249257132188135933d7

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T05:44:29.088369Z digest=sha256:e1522eba92c388a6d2794ba21223628312ad28e2e9c00aa1c724d6d704c404b7

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T05:44:29.211650Z digest=sha256:62afd0eb34b0d5aa09f398d51dcbd0fa8871bbe37d1614c165d0ad83ecd3d92b

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T05:44:29.325909Z digest=sha256:c8d3c6ca1f2837c4d85fb10baa6c22cbef693a52f31ebc6508a7eb3edf1e0548

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T05:44:29.424935Z digest=sha256:800e472eb5aec29d2c33e38e37983022500f317d41dc6a26341bc01a403c3cc6

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T05:44:29.502106Z digest=sha256:6c28676701b8fb5b39189a174b81ec76dc1999b0cf6325b79ceaec361102e386

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T05:44:29.607235Z digest=sha256:aadf13b84ff95bed11bc61b77a7f080b0c8edc4e367064d6293fc896e987c494

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T05:44:29.738862Z digest=sha256:a44966527fc3701dc67bf076faf518ed0c376502cb967ee21fadb29f85bc5668

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T05:44:29.829204Z digest=sha256:3b2effafb5560dbd729a2cb113547ce54c78dd5161d30c98ae98d7927edd528c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T05:44:29.896910Z digest=sha256:c269a9bfeecf4b170b9baa11dfe9e9cef962c5c74b93902861dfbdb547f7ca93

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T05:44:29.973241Z digest=sha256:4bc4db535ad1332365e951f1a0571ce7ec169aa0d143bf6bd80d5db57a22e69e

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T05:44:30.168243Z digest=sha256:5dd4f9b153a20ea9085b3f9d43fe80e8f3b3643b89a2c3d35e583d7ef33f87df

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T05:44:30.236232Z digest=sha256:d14ba72d5f5e88f66856c84b59f36e8f9adc958c869f1f5b08619e53823d4b3c

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
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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T05:44:30.382373Z digest=sha256:1c6dd99c2dea3a03ceb251736d6a6b182dd16f76365abb7eee450b68975bb8f7

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T05:44:30.462472Z digest=sha256:215825436fe7900e0a9c4cc7941d678d6abd9e5f408239311c1a206d7e029cfb

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T05:44:30.498368Z digest=sha256:358f027871770fb1919c22fbf2c43c0cdbabe803bd4f77aaab18f5ff0adaa01e

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

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: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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T05:44:30.852189Z digest=sha256:02e5abaa21db3fec367eccda937895fcd407969c6ab037d155eaaa0064618166

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T05:44:31.045954Z digest=sha256:b8764645b5763c70bb6fe458b4365648de707d79c338b455047bd211eb9740b3

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T05:44:31.106591Z digest=sha256:a9aa1cb612009a7a1d06c051e8831fb08b22d28a61d0bf0177ca60fbd577ddda

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T05:44:31.190228Z digest=sha256:d8f32a46bf432c1439da5ed01df02a0f65ee3316f9d1a45f81d1bdc2c06678aa

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T05:44:31.273067Z digest=sha256:799f192edd4c9d99a8d99d84b5d42ae42b2e46bd699c13b897cfe234a75b5b98

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T05:44:31.370803Z digest=sha256:913f9bc8ac4f47966de7c1ed618a56d6b7eba8d568d1a7cd773a8e150f01372a

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T05:44:31.516123Z digest=sha256:6497550dd61daa22e1cb30f85232682f5927cb18fd66728f9ea97e849a832380

Pith citing papers

No inbound Pith citation observations are available.