Paper Citation Record · LEDGER

Existence and nonexistence of commutativity gadgets for entangled CSPs

As of 17 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2509.07835.

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

pith.paper-citation-record.v1
2509.07835 v1

Coverage vector

measured 50 of 50 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:21:19.668260Z

measured 50 of 50 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

50 of 50 outbound references displayed

verified exact21
verified fuzzy2
unresolved26
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6cbe947d-01e8-4429-b67f-640e24b8cd10 · outbound

This paper cites Abramsky, R.

Existence and nonexistence of commutativity gadgets for entangled CSPs Abramsky, R

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:21:21.053804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a2d2512c-944e-4fbc-b614-e81bd95df6b0 · outbound

This paper cites Preprint.

Existence and nonexistence of commutativity gadgets for entangled CSPs Preprint

Reference 11

Resolution: verified exact; raw_fallback, observed 2026-08-15T16:21:20.959559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e8d6ca27-7b40-4e57-a399-015854bf8450 · outbound

This paper cites [BŽ25] A.

Existence and nonexistence of commutativity gadgets for entangled CSPs [BŽ25] A

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.470145Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation caab9511-15ca-45b3-999e-3e0ed28d5287 · outbound

This paper cites [Cia24] L.

Existence and nonexistence of commutativity gadgets for entangled CSPs [Cia24] L

Reference 16

Resolution: verified exact; doi, observed 2026-08-15T16:21:19.987606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b7799ab3-ef86-4f92-a531-c77d195590b6 · outbound

This paper cites [CM24] E.

Existence and nonexistence of commutativity gadgets for entangled CSPs [CM24] E

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.486241Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7a0d3cf-02be-47bd-acc1-471ba09d2b4a · outbound

This paper cites RE-completeness of entangled constraint satisfaction problems.

Existence and nonexistence of commutativity gadgets for entangled CSPs RE-completeness of entangled constraint satisfaction problems

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:21:20.812915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d1abc9e0-1590-431f-bf78-2b29f77cc94e · outbound

This paper cites Preprint.

Existence and nonexistence of commutativity gadgets for entangled CSPs Preprint

Reference 20

Resolution: verified exact; raw_fallback, observed 2026-08-15T16:21:20.785995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 289dffb7-e066-4474-9d96-fa8a93ddc278 · outbound

This paper cites [DKR+25] J.

Existence and nonexistence of commutativity gadgets for entangled CSPs [DKR+25] J

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.502391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation edca02d1-e3ce-44c1-83fb-4b6456e60206 · outbound

This paper cites [Eif20] K.

Existence and nonexistence of commutativity gadgets for entangled CSPs [Eif20] K

Reference 22

Resolution: verified exact; doi, observed 2026-08-15T16:21:19.956026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation da9cb398-1cb2-4109-ac74-532785d659f4 · outbound

This paper cites Non-local games and quantum symmetries of quantum metric spaces.

Existence and nonexistence of commutativity gadgets for entangled CSPs Non-local games and quantum symmetries of quantum metric spaces

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.513910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b44e9f8-fcf1-48b5-aa74-d98ec2d9e102 · outbound

This paper cites Quantum Automorphism Groups of Hypergraphs.

Existence and nonexistence of commutativity gadgets for entangled CSPs Quantum Automorphism Groups of Hypergraphs

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:21:20.629171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ebf38bbd-aa6b-46f4-9c38-1946fc3f545f · outbound

This paper cites [HN90] P.

Existence and nonexistence of commutativity gadgets for entangled CSPs [HN90] P

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:21:21.037137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 58ca768f-2d8a-47aa-9001-ca35113e2de7 · outbound

This paper cites [LMR20] M.

Existence and nonexistence of commutativity gadgets for entangled CSPs [LMR20] M

Reference 29

Resolution: verified exact; doi, observed 2026-08-15T16:21:19.916561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 74d929e2-f0af-4f95-b8b7-9233e47fbfc0 · outbound

This paper cites [MdlS23] A.

Existence and nonexistence of commutativity gadgets for entangled CSPs [MdlS23] A

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.556098Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea8e72a8-9455-4f04-a993-4781f36fa678 · outbound

This paper cites [MR16] L.

Existence and nonexistence of commutativity gadgets for entangled CSPs [MR16] L

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.567060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7123a235-e9ed-49c4-8ed0-16ad49f5ebfc · outbound

This paper cites [MSSV25] L.

Existence and nonexistence of commutativity gadgets for entangled CSPs [MSSV25] L

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.576981Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94c864a5-0a3c-4c92-8cf9-11e2d95407d8 · outbound

This paper cites Gap-preserving reductions and RE-completeness of independent set games.

Existence and nonexistence of commutativity gadgets for entangled CSPs Gap-preserving reductions and RE-completeness of independent set games

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:21:20.413097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9c9c3492-d62b-4207-977e-2eb3a2916001 · outbound

This paper cites [Oza13] N.

Existence and nonexistence of commutativity gadgets for entangled CSPs [Oza13] N

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.589110Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e0d0558-edca-4c3e-814a-02378e5064c1 · outbound

This paper cites [Per90] A.

Existence and nonexistence of commutativity gadgets for entangled CSPs [Per90] A

Reference 37

Resolution: verified exact; doi, observed 2026-08-15T16:21:19.863316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 82a60d8a-543f-45a4-945b-dccf3845c14a · outbound

This paper cites [PSS+16] V.

Existence and nonexistence of commutativity gadgets for entangled CSPs [PSS+16] V

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.601642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ea749d6-de01-4afa-9b3c-aa262ff95019 · outbound

This paper cites 49 [RS22] D.

Existence and nonexistence of commutativity gadgets for entangled CSPs 49 [RS22] D

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.607229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd6f043c-3e05-44fe-a01b-fc09fcb9a517 · outbound

This paper cites [Slo19] W.

Existence and nonexistence of commutativity gadgets for entangled CSPs [Slo19] W

Reference 43

Resolution: verified exact; doi, observed 2026-08-15T16:21:19.787873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ad37d69d-51dd-4ba7-a0c8-5583f7e00d07 · outbound

This paper cites [SW19] R.

Existence and nonexistence of commutativity gadgets for entangled CSPs [SW19] R

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.637298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 996f3478-c0da-4ce3-91f5-8cb8dc349ac2 · outbound

This paper cites [Tur36] A.

Existence and nonexistence of commutativity gadgets for entangled CSPs [Tur36] A

Reference 45

Resolution: verified exact; doi, observed 2026-08-15T16:21:19.758956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 08fbdd0b-6bb2-45dd-9507-46b027d19072 · outbound

This paper cites Preprint.

Existence and nonexistence of commutativity gadgets for entangled CSPs Preprint

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.653639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b71ba7f2-8c69-4ace-acf8-090f95d14f2c · outbound

This paper cites [Wan98] S.

Existence and nonexistence of commutativity gadgets for entangled CSPs [Wan98] S

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.658644Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 55fa75a5-bd0f-4b34-b7b9-04db612b6fa3 · outbound

This paper cites [Zhu17] D.

Existence and nonexistence of commutativity gadgets for entangled CSPs [Zhu17] D

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.663470Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1320db83-333d-47f7-b95e-03f5bf22397e · outbound

This paper cites A Disproving an extension of Ji’s triangular prism gadget One way to express Ji’s triangular prism commutativity gadget is as C3□P.

Existence and nonexistence of commutativity gadgets for entangled CSPs A Disproving an extension of Ji’s triangular prism gadget One way to express Ji’s triangular prism commutativity gadget is as C3□P

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.668260Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00b6e1a4-3416-4788-a42f-9e01ba8fc9e8 · outbound

This paper cites [TV25] A.

Existence and nonexistence of commutativity gadgets for entangled CSPs [TV25] A

Reference 1936

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.648400Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c06256b7-69b0-4dc3-bc72-4a8f7ab6864a · outbound

This paper cites [Sch18] S.

Existence and nonexistence of commutativity gadgets for entangled CSPs [Sch18] S

Reference 1978

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.619625Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4fc3c87-0943-46aa-95ad-ca10c5fcf17b · outbound

This paper cites 48 [Ji13] Z.

Existence and nonexistence of commutativity gadgets for entangled CSPs 48 [Ji13] Z

Reference 1990

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.533575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1894257-0f58-4276-aa05-61722539c38b · outbound

This paper cites [BGM+25] M.

Existence and nonexistence of commutativity gadgets for entangled CSPs [BGM+25] M

Reference 1991

Resolution: verified exact; doi, observed 2026-08-15T16:21:20.065477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e87bd0ae-b64e-4ec7-8de4-10788f9f7ef0 · outbound

This paper cites [Ara04] P.

Existence and nonexistence of commutativity gadgets for entangled CSPs [Ara04] P

Reference 1998

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.415483Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35176ace-9ab4-42f2-b3e7-988baf9b6ed4 · outbound

This paper cites 47 [Bic14] J.

Existence and nonexistence of commutativity gadgets for entangled CSPs 47 [Bic14] J

Reference 2003

Resolution: verified exact; doi, observed 2026-08-15T16:21:20.048310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e9936f00-a47e-4725-8a3c-f6736421d37b · outbound

This paper cites [Ban05] T.

Existence and nonexistence of commutativity gadgets for entangled CSPs [Ban05] T

Reference 2004

Resolution: verified exact; doi, observed 2026-08-15T16:21:20.147256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b0a3e9b2-7e57-4ffc-b159-c2956a5874b2 · outbound

This paper cites [BB07] T.

Existence and nonexistence of commutativity gadgets for entangled CSPs [BB07] T

Reference 2005

Resolution: verified exact; doi, observed 2026-08-15T16:21:20.126418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 557a96e2-6752-4452-9d8d-c00e85f9b027 · outbound

This paper cites [BCE+20] M.

Existence and nonexistence of commutativity gadgets for entangled CSPs [BCE+20] M

Reference 2007

Resolution: verified exact; doi, observed 2026-08-15T16:21:20.096738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5cdf7ce6-caf1-4f8a-a696-155f9676b156 · outbound

This paper cites [Bul17] A.

Existence and nonexistence of commutativity gadgets for entangled CSPs [Bul17] A

Reference 2009

Resolution: verified exact; doi, observed 2026-08-15T16:21:20.018279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7f163711-a400-476a-a96f-9693cb316a82 · outbound

This paper cites Binary Constraint System Games and Locally Commutative Reductions.

Existence and nonexistence of commutativity gadgets for entangled CSPs Binary Constraint System Games and Locally Commutative Reductions

Reference 2013

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.539366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 62684454-33ed-4894-a183-ffce12d1e244 · outbound

This paper cites [BK09] L.

Existence and nonexistence of commutativity gadgets for entangled CSPs [BK09] L

Reference 2014

Resolution: malformed identifier; no resolver link, observed 2026-08-15T16:21:19.459596Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d122ed97-104f-4be9-afd0-a619aeacdcaf · outbound

This paper cites [MS24] K.

Existence and nonexistence of commutativity gadgets for entangled CSPs [MS24] K

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.572053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8add08af-68bf-4b7f-b5e0-543d747ba357 · outbound

This paper cites DOI: 10.4230/LIPIcs.MFCS.2017.35.

Existence and nonexistence of commutativity gadgets for entangled CSPs DOI: 10.4230/LIPIcs.MFCS.2017.35

Reference 2017

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.395689Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1a36b3b-ef8e-408e-8baf-ec035b3d2333 · outbound

This paper cites [Sch20] S.

Existence and nonexistence of commutativity gadgets for entangled CSPs [Sch20] S

Reference 2018

Resolution: verified exact; doi, observed 2026-08-15T16:21:19.805458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9f8527bc-c83e-43df-857e-34f80855459c · outbound

This paper cites [ALM+98] S.

Existence and nonexistence of commutativity gadgets for entangled CSPs [ALM+98] S

Reference 2019

Resolution: verified exact; doi, observed 2026-08-15T16:21:20.165911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7609870b-5c41-4e65-8c77-22bd048c0efb · outbound

This paper cites [BFL91] L.

Existence and nonexistence of commutativity gadgets for entangled CSPs [BFL91] L

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.438043Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6c2680c-5df3-4d49-bb3a-6dc91edfd6eb · outbound

This paper cites [JSW20] L.

Existence and nonexistence of commutativity gadgets for entangled CSPs [JSW20] L

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.545549Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ebcac0f2-b6ae-43c8-815e-c999b5782a29 · outbound

This paper cites [Sch78] T.

Existence and nonexistence of commutativity gadgets for entangled CSPs [Sch78] T

Reference 2022

Resolution: verified exact; doi, observed 2026-08-15T16:21:19.822813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 792260e2-de37-47ef-8873-3e3ca158edcc · outbound

This paper cites Almost synchronous correlations and Tomita-Takesaki theory.

Existence and nonexistence of commutativity gadgets for entangled CSPs Almost synchronous correlations and Tomita-Takesaki theory

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.561311Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3df41c9c-4d4f-4cc7-8245-4ace0a99c8c6 · outbound

This paper cites [CM14] R.

Existence and nonexistence of commutativity gadgets for entangled CSPs [CM14] R

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-15T16:21:19.481227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0dd96cec-cc10-403f-9fb5-411ffa0e09a4 · outbound

This paper cites [AKS19] A.

Existence and nonexistence of commutativity gadgets for entangled CSPs [AKS19] A

Reference 2025

Resolution: verified exact; doi, observed 2026-08-15T16:21:20.188329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

No inbound Pith citation observations are available.