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Paper Citation Record · LEDGER

Entanglement in Quantum Systems Based on Directed Graphs

As of 15 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 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T05:44:28.964230Z digest=sha256:5a61268dbbfebe3983646c5f5e7aece312d0177b1c52612cf380fd308af78264

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T05:44:29.006995Z digest=sha256:658e69ad1f0369280048e2f731fa6fb9270b2c3819f6083833fe20ca4135460f

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T05:44:29.088369Z digest=sha256:60d6fd5c20af1ff6fc4303a7170eeaae272fbfc5db623be58c47845f66e9a6b6

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T05:44:29.211650Z digest=sha256:4514ed3ddf350d8de195e71414356b48d13044eadef01b1311c336433a8cbc40

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T05:44:29.325909Z digest=sha256:9f0169e8f0c03810a7dd9f730dc594928f48cd2ed968377895bd5dc7349e1e54

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T05:44:29.424935Z digest=sha256:4f12cdbe3b5bb13fd53ba2eeab4c6abe45164366d7204a1b99804e043bfb4a0f

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T05:44:29.502106Z digest=sha256:de3baf9b3468888dd1b82599575ea68dd5454dc2d076ff4a5918a2d217bdd9fe

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T05:44:29.607235Z digest=sha256:d40fa337e4f938d065ff4271afc62078e3dc5462ee68407db33eefdbdd6b1069

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T05:44:29.738862Z digest=sha256:67f9f02440e7eb4a9f2f54c70419af5de132d29a5b6ed3d380a58d260891e93b

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T05:44:29.829204Z digest=sha256:ee3702e6b711167c747e01cbde25485fe5289bc68c4628969a12ac490256e46f

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T05:44:29.896910Z digest=sha256:756d0feac2405f21ee4123f0c42121deb779c6ca95bde737c2403228192e73d3

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T05:44:29.973241Z digest=sha256:d815a2b6eaf3b60104c403706160bd1ca5012d9bf7a624bd6516fb33e02cc053

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T05:44:30.168243Z digest=sha256:fa617a9a9c9da9df2c5334c35f6486aecbbb38d9af912dd683ae7ad933114e02

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T05:44:30.236232Z digest=sha256:41fe1190c4730aff0f215a709b147822af167e425f70ae2a3240a38a67547a74

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T05:44:30.382373Z digest=sha256:d13be289f551fc4af91ca8c14aa9fb0bca98bed2470faa7d120577d9695326a1

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T05:44:30.462472Z digest=sha256:3f2135d29af1a54f50611ab1a64427e6f137977fa1fdda6d3090276fc2c8af95

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T05:44:30.498368Z digest=sha256:4ac0b3db90608ab884393d65ba132734abd44f0b4dd3b808f9e39909fdd2d41f

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:a5fcf691f52787e9a2821caf4790ccac171cac1d9830a0c5b073d29b033c9a92

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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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=sha256:041285f942bcd16692d8d5aca21888b895c799e0a1129428e2792e7d9a587242

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T05:44:30.852189Z digest=sha256:73c48f093951a1673e4609796c9ce94ca8f63c62292f56518689e915715dbfe8

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T05:44:31.045954Z digest=sha256:f8f48c9453aba418551cb3ca9253630ac637d6291b821ad4456eb3b159436ded

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T05:44:31.106591Z digest=sha256:a33ee4a51620e64c9eea2fae35f03f1237ef26accaed00e30e4054b44db37884

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T05:44:31.190228Z digest=sha256:63c75b28d1587b01693097dfef18b3759db634be73710b6af5549823762a8cac

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T05:44:31.273067Z digest=sha256:002d425d28cac579bc5bde446c6ac4d5f9c85747a3f564d2e22c2d60a50523bd

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T05:44:31.370803Z digest=sha256:c011413db71e493851beb195283c251aff96da90b3c0fdcb58b7e5f22d8f1c05

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T05:44:31.516123Z digest=sha256:1080ada91ad415a22d98a7d3ad1b3d27fb70264edbd261571c6d91ceb973f12d

Pith citing papers

No inbound Pith citation observations are available.