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Paper Citation Record · LEDGER

A phase transition in the exactness of the NPA hierarchy at the critical doubly-tilted CHSH functional

As of 23 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2607.13774.

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

pith.paper-citation-record.v1
2607.13774 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T03:48:53.011560Z

measured 14 of 14 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

14 of 14 outbound references displayed

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  • verified fuzzy0
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d843ca32-5cb0-48e5-87d2-9f3fb695fe1f · outbound

This paper cites Self-testing tilted strategies for maximal loophole-free nonlocality.

A phase transition in the exactness of the NPA hierarchy at the critical doubly-tilted CHSH functional Self-testing tilted strategies for maximal loophole-free nonlocality

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-02T03:48:51.547360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:48:51.547360Z digest=sha256:4c905e79a180d833e891940b4a72658a5e05c1bbf1a0e88e81a217040f87d901

Observation ebe67f5f-40f5-41d3-b3d4-771e348ce1b3 · outbound

This paper cites Navascu´ es, S.

A phase transition in the exactness of the NPA hierarchy at the critical doubly-tilted CHSH functional Navascu´ es, S

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-02T03:48:51.659623Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:48:51.659623Z digest=sha256:ad276560dfd141e764805565a7ac5a8f6049c22851bb81aaee890e3606fea7ee

Observation 11d47e15-0131-409b-874a-f308f71de6eb · outbound

This paper cites P.,A certified separation of the almost-quantum set from the quantum set in the minimal Bell scenario, companion note (2026).

A phase transition in the exactness of the NPA hierarchy at the critical doubly-tilted CHSH functional P.,A certified separation of the almost-quantum set from the quantum set in the minimal Bell scenario, companion note (2026)

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-02T03:48:51.840395Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:48:51.840395Z digest=sha256:77ce01bdd9a2c52a9e23787ddad585d62c0f302af2a8f281a23a9a396c65acbc

Observation c102ae2b-d493-4104-bf1e-af6f5c2efadd · outbound

This paper cites Barizien, J.-D.

A phase transition in the exactness of the NPA hierarchy at the critical doubly-tilted CHSH functional Barizien, J.-D

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-02T03:48:51.927310Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:48:51.927310Z digest=sha256:211d1c416ecdccd3fe11c4b1e1ff729d511b0eed6d726f31d9b64e4d1bd9a603

Observation 601a7d31-25b9-4f36-b4a2-a2844584a50c · outbound

This paper cites an unresolved cited work.

A phase transition in the exactness of the NPA hierarchy at the critical doubly-tilted CHSH functional Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-02T03:48:51.986917Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:48:51.986917Z digest=sha256:084bd0fe57389d291ca049434b8e25e0b98013be112aea1d43c81e0640902b63

Observation 4591d4f6-3754-4451-89fc-3fc0070046e3 · outbound

This paper cites Fanizza, L.

A phase transition in the exactness of the NPA hierarchy at the critical doubly-tilted CHSH functional Fanizza, L

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-02T03:48:52.066350Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:48:52.066350Z digest=sha256:08e273ee699718aa314d59d3d638ea1e6c346e92a2b05b8e5572d888942b18e7

Observation 9af59057-491e-4787-a93f-40a56d060c38 · outbound

This paper cites Factoring Non-negative Operator Valued Trigonometric Polynomials in Two Variables.

A phase transition in the exactness of the NPA hierarchy at the critical doubly-tilted CHSH functional Factoring Non-negative Operator Valued Trigonometric Polynomials in Two Variables

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-02T03:48:52.269351Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:48:52.269351Z digest=sha256:0804e9e7b3da79838a19b99800c34a38e2e5eb26ff8d60973c2b11d936f91b1f

Observation 6bf51175-713f-450d-be50-de23c5d84908 · outbound

This paper cites Scheiderer,Non-existence of degree bounds for weighted sums of squares representations, J.

A phase transition in the exactness of the NPA hierarchy at the critical doubly-tilted CHSH functional Scheiderer,Non-existence of degree bounds for weighted sums of squares representations, J

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-02T03:48:52.401566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:48:52.401566Z digest=sha256:b45a4c29ef1cd96317211499c7598f29311b200fde023d73f728ebc7622473e9

Observation ee895e6d-9a8a-4c77-b49f-6698c6ca8643 · outbound

This paper cites Scheiderer,Sums of squares on real algebraic surfaces, Manuscripta Math.119, 395 (2006).

A phase transition in the exactness of the NPA hierarchy at the critical doubly-tilted CHSH functional Scheiderer,Sums of squares on real algebraic surfaces, Manuscripta Math.119, 395 (2006)

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-02T03:48:52.502945Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:48:52.502945Z digest=sha256:373c8195d2a3122e87d18850aa71c59278c409b9bcd95876e1893111cc489ff6

Observation 0188798b-d21d-45ac-a5c4-16df90004e64 · outbound

This paper cites Optimality Conditions and Finite Convergence of Lasserre's Hierarchy.

A phase transition in the exactness of the NPA hierarchy at the critical doubly-tilted CHSH functional Optimality Conditions and Finite Convergence of Lasserre's Hierarchy

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-02T03:48:52.576795Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:48:52.576795Z digest=sha256:9e177a39f2deafacf95a4db28d465dd5c42825323fe607c1b98690ed79a6d9ee

Observation f5fdb2d5-a615-49c1-8e83-009cec8264ff · outbound

This paper cites Marshall,Representations of non-negative polynomials, degree bounds and applications to optimization, Canad.

A phase transition in the exactness of the NPA hierarchy at the critical doubly-tilted CHSH functional Marshall,Representations of non-negative polynomials, degree bounds and applications to optimization, Canad

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-02T03:48:52.688512Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:48:52.688512Z digest=sha256:f66bfc1bea7a54e2769dd3d2aef906c95e9623ec6ddc59abadc24d469dd5c45f

Observation 1dd6cb16-3b22-4cda-aa2f-3686039d7907 · outbound

This paper cites Sum-of-squares decompositions for a family of CHSH-like inequalities and their application to self-testing.

A phase transition in the exactness of the NPA hierarchy at the critical doubly-tilted CHSH functional Sum-of-squares decompositions for a family of CHSH-like inequalities and their application to self-testing

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-02T03:48:52.798877Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:48:52.798877Z digest=sha256:bfe6f71660b09b62fdcc18b70e7dea17d850f12d568f63c94287fe9de8f74801

Observation e3ebd4c1-69db-48f2-a6ea-0424e2815786 · outbound

This paper cites On the hardness of deciding the finite convergence of Lasserre hierarchies.

A phase transition in the exactness of the NPA hierarchy at the critical doubly-tilted CHSH functional On the hardness of deciding the finite convergence of Lasserre hierarchies

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-02T03:48:52.897909Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:48:52.897909Z digest=sha256:3a341a5a623d37e9f7dfe22ee7356dffd018d0b9f18d523726dbe5e593fdfa73

Observation 289df12e-4cf5-47a5-92a0-cf0d1c17501d · outbound

This paper cites P.,No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt, companion paper (2026).

A phase transition in the exactness of the NPA hierarchy at the critical doubly-tilted CHSH functional P.,No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt, companion paper (2026)

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-02T03:48:53.011560Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:48:53.011560Z digest=sha256:8bb7ac22aa321efadf92ed3b08c0968b2291ec14a1f52196c14e62e4406e6c67

Pith citing papers

No inbound Pith citation observations are available.