Paper Citation Record · LEDGER

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem

As of 20 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2412.19405.

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

pith.paper-citation-record.v1
2412.19405 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T00:44:42.796507Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:25:58.839610Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-15T23:25:59.082013Z

Reference resolution

23 of 23 outbound references displayed

verified exact3
verified fuzzy17
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6037d4eb-60c0-41c0-8732-b49a7765278f · outbound

This paper cites Approximation algorithms for noncommutative CSPs.

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem Approximation algorithms for noncommutative CSPs

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-11T00:44:42.976254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 13125975-5ae8-4182-add9-5cfeb2e9f47b · outbound

This paper cites Dykema, V.I.

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem Dykema, V.I

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:44:43.544561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 53fdc358-2b44-49e1-a646-8d3937cccc5a · outbound

This paper cites Frieze and M.

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem Frieze and M

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:44:43.530361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2e83e079-6f40-4753-bc9d-19000fa065f3 · outbound

This paper cites Goemans and D.

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem Goemans and D

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:44:43.515886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 91219720-9c5f-4426-bb65-743c5d3cae07 · outbound

This paper cites Goldberg, Synchronous linear constraint system games , Journal of Mathematical Physics 62 (2021), 032201.

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem Goldberg, Synchronous linear constraint system games , Journal of Mathematical Physics 62 (2021), 032201

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:44:43.500937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d0ebad53-a98c-43f5-a695-54d5c6fecabb · outbound

This paper cites Harris, Synchronous games with ∗-isomorphic game algebras , Quantum Information and Computa- tion 22 (2022), no.

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem Harris, Synchronous games with ∗-isomorphic game algebras , Quantum Information and Computa- tion 22 (2022), no

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:44:43.382811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2d6de308-f7b0-4f0e-8a45-f10234b7f09d · outbound

This paper cites APPROXIMATE QUANTUM 3-COLORINGS OF GRAPHS 37.

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem APPROXIMATE QUANTUM 3-COLORINGS OF GRAPHS 37

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:44:43.315970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b22c13be-7986-4bd7-b2c8-65cece04a27e · outbound

This paper cites Helton, K.P.

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem Helton, K.P

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:44:43.302126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 33a2fec3-0f61-42ec-a126-a41399fcfad7 · outbound

This paper cites Helton, H.

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem Helton, H

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:44:43.288867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ec6e2f55-ce25-43ea-b9b6-eea9114d23dc · outbound

This paper cites an unresolved cited work.

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-11T00:44:43.275354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ed8ff659-1881-4f36-be12-a4a76c0e0ad6 · outbound

This paper cites Kim, V.I.

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem Kim, V.I

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:44:43.261603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 639ada49-eb49-4772-a370-5728796af235 · outbound

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

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem Binary Constraint System Games and Locally Commutative Reductions

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-11T00:44:42.918930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4b97b0e9-7eae-42d0-938f-b37138ecca4a · outbound

This paper cites MIP*=RE.

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem MIP*=RE

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T00:44:42.752853Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 008b1431-d551-40bf-8eab-92ab6c4f5a03 · outbound

This paper cites de Klerk, D.V.

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem de Klerk, D.V

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:44:43.219034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e17569bf-9cb3-4b0b-b9bc-61cbba5f5a02 · outbound

This paper cites Manˇ cinska and D.E.

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem Manˇ cinska and D.E

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:44:43.172837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3797456b-dd7e-416f-8368-5b9a16b31b46 · outbound

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

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem Almost synchronous correlations and Tomita-Takesaki theory

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-11T00:44:42.851820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9e3256f7-2ea8-4576-a65b-1c094df8cb10 · outbound

This paper cites Mastel and W.

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem Mastel and W

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:44:43.130303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0d5bf3a0-2c9a-4971-95ad-290b60dc6b06 · outbound

This paper cites Mousavi, S.S.

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem Mousavi, S.S

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:44:43.080470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 74702d52-a359-4c1f-8351-cc15f529c961 · outbound

This paper cites Paulsen, S.

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem Paulsen, S

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:44:43.065798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b6dc5828-ffdf-4339-bf2b-cf0e8f6c9097 · outbound

This paper cites Todorov and L.

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem Todorov and L

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:44:43.050656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5c6e5812-5e36-4b99-b132-09d7f1498060 · outbound

This paper cites Tsirelson, Quantum analogues of the Bell inequalities.

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem Tsirelson, Quantum analogues of the Bell inequalities

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:44:43.034825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1a22f8aa-4d7b-43a6-9a2e-2a5417717ea9 · outbound

This paper cites an unresolved cited work.

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-11T00:44:43.020356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 28f1c46c-b418-4c3f-857a-26ac4f42e558 · outbound

This paper cites Vidick, Almost synchronous quantum correlations , Journal of Mathematical Physics 63 (2022), no.

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem Vidick, Almost synchronous quantum correlations , Journal of Mathematical Physics 63 (2022), no

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:44:43.004703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation b683fe87-af93-45fd-a7b3-9b378c47f470 · inbound

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

Gap-preserving reductions and RE-completeness of independent set games Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:25:59.086123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.