Acausal exact vacuum solutions in nonlocal gravity | Paper Citation Record

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This paper cites Since the spacetime metric is completely determined by the parametersm 2 andω, its causal structure is also fully characterized by these two parameters.

Acausal exact vacuum solutions in nonlocal gravity Since the spacetime metric is completely determined by the parametersm 2 andω, its causal structure is also fully characterized by these two parameters

Reference 4

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This paper cites In this case, H2 simplifies to: H2(x) =α{lnx+ Γ[0, x] +γ E}.(52) Therefore, one can show that: H2 ′(0)∼p ′(0)̸= 0,(53) which contradicts our assumption (45).

Acausal exact vacuum solutions in nonlocal gravity In this case, H2 simplifies to: H2(x) =α{lnx+ Γ[0, x] +γ E}.(52) Therefore, one can show that: H2 ′(0)∼p ′(0)̸= 0,(53) which contradicts our assumption (45)

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This paper cites Hence,forneven NLG does not have G¨ odel-type solutions withm 2 = 0.

Acausal exact vacuum solutions in nonlocal gravity Hence,forneven NLG does not have G¨ odel-type solutions withm 2 = 0

Reference 8

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This paper cites Based on (51), we have lim x→0 H2 ′(x)∝p n−1(x)p′(x).(59) Sincen≥3, we have H 2 ′(0) = 0 consistently with (45).

Acausal exact vacuum solutions in nonlocal gravity Based on (51), we have lim x→0 H2 ′(x)∝p n−1(x)p′(x).(59) Sincen≥3, we have H 2 ′(0) = 0 consistently with (45)

Reference 9

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Observation 66b0df70-0a4b-4db7-810a-d619b2c8fd7b · outbound

This paper cites On the causality properties in non-local gravity theories.

Acausal exact vacuum solutions in nonlocal gravity On the causality properties in non-local gravity theories

Reference 10

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This paper cites Quantum avoidance of G¨ odel’s closed timelike curves.

Acausal exact vacuum solutions in nonlocal gravity Quantum avoidance of G¨ odel’s closed timelike curves

Reference 11

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This paper cites An example of a new type of cosmological solutions of Ein- stein’s field equations of gravitation.Rev Mod Phys.

Acausal exact vacuum solutions in nonlocal gravity An example of a new type of cosmological solutions of Ein- stein’s field equations of gravitation.Rev Mod Phys

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This paper cites Homogeneous spacetimes of the Goedel type.

Acausal exact vacuum solutions in nonlocal gravity Homogeneous spacetimes of the Goedel type

Reference 13

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This paper cites On the Homogeneity of Riemannian Space-Times of Godel Type.

Acausal exact vacuum solutions in nonlocal gravity On the Homogeneity of Riemannian Space-Times of Godel Type

Reference 14

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This paper cites Isometries of Homogeneous Godel-type space-times.

Acausal exact vacuum solutions in nonlocal gravity Isometries of Homogeneous Godel-type space-times

Reference 15

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This paper cites New Homogeneous Solutions of Einstein’s Field Equations with Incoherent Matter Obtained by a Spinor Technique.

Acausal exact vacuum solutions in nonlocal gravity New Homogeneous Solutions of Einstein’s Field Equations with Incoherent Matter Obtained by a Spinor Technique

Reference 16

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This paper cites Asymptotic freedom in higher derivative quantum gravity.

Acausal exact vacuum solutions in nonlocal gravity Asymptotic freedom in higher derivative quantum gravity

Reference 17

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This paper cites Effective action in quantum gravity.

Acausal exact vacuum solutions in nonlocal gravity Effective action in quantum gravity

Reference 18

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This paper cites Some remarks on high derivative quantum gravity.

Acausal exact vacuum solutions in nonlocal gravity Some remarks on high derivative quantum gravity

Reference 19

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This paper cites Renormalization Group in Six-derivative Quantum Gravity.

Acausal exact vacuum solutions in nonlocal gravity Renormalization Group in Six-derivative Quantum Gravity

Reference 20

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This paper cites Superrenormalizable quantum gravity with complex ghosts.

Acausal exact vacuum solutions in nonlocal gravity Superrenormalizable quantum gravity with complex ghosts

Reference 21

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This paper cites Super-renormalizable or Finite Lee-Wick Quantum Gravity.

Acausal exact vacuum solutions in nonlocal gravity Super-renormalizable or Finite Lee-Wick Quantum Gravity

Reference 22

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This paper cites Quantum field theory with ghost pairs.

Acausal exact vacuum solutions in nonlocal gravity Quantum field theory with ghost pairs

Reference 23

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This paper cites Amplitude prescriptions in field theories with complex poles.

Acausal exact vacuum solutions in nonlocal gravity Amplitude prescriptions in field theories with complex poles

Reference 24

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This paper cites On the quantum field theory of the gravitational interactions.

Acausal exact vacuum solutions in nonlocal gravity On the quantum field theory of the gravitational interactions

Reference 25

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This paper cites The Convergent Nonlocal Gravitation. (in Russian).

Acausal exact vacuum solutions in nonlocal gravity The Convergent Nonlocal Gravitation. (in Russian)

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This paper cites Super-renormalizable Quantum Gravity.

Acausal exact vacuum solutions in nonlocal gravity Super-renormalizable Quantum Gravity

Reference 27

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This paper cites Nonlocal quantum gravity: A review.

Acausal exact vacuum solutions in nonlocal gravity Nonlocal quantum gravity: A review

Reference 28

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This paper cites Form factors, spectral and K\"all\'en-Lehmann representation in nonlocal quantum gravity.

Acausal exact vacuum solutions in nonlocal gravity Form factors, spectral and K\"all\'en-Lehmann representation in nonlocal quantum gravity

Reference 29

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This paper cites Nonlocal Gauge Theories.

Acausal exact vacuum solutions in nonlocal gravity Nonlocal Gauge Theories

Reference 30

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This paper cites Super-renormalizable Multidimensional Quantum Gravity.

Acausal exact vacuum solutions in nonlocal gravity Super-renormalizable Multidimensional Quantum Gravity

Reference 31

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This paper cites Finite Quantum Gravity.

Acausal exact vacuum solutions in nonlocal gravity Finite Quantum Gravity

Reference 32

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This paper cites Super-renormalizable & Finite Gravitational Theories.

Acausal exact vacuum solutions in nonlocal gravity Super-renormalizable & Finite Gravitational Theories

Reference 33

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This paper cites Stability of Schwarzschild singularity in non-local gravity.

Acausal exact vacuum solutions in nonlocal gravity Stability of Schwarzschild singularity in non-local gravity

Reference 34

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This paper cites Black-hole stability in non-local gravity.

Acausal exact vacuum solutions in nonlocal gravity Black-hole stability in non-local gravity

Reference 35

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This paper cites Nonlinear stability of Minkowski spacetime in Nonlocal Gravity.

Acausal exact vacuum solutions in nonlocal gravity Nonlinear stability of Minkowski spacetime in Nonlocal Gravity

Reference 36

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This paper cites Nonlinear stability in nonlocal gravity.

Acausal exact vacuum solutions in nonlocal gravity Nonlinear stability in nonlocal gravity

Reference 37

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This paper cites Cutkosky rules and perturbative unitarity in Euclidean nonlocal quantum field theories.

Acausal exact vacuum solutions in nonlocal gravity Cutkosky rules and perturbative unitarity in Euclidean nonlocal quantum field theories

Reference 38

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This paper cites Non-unitarity of Minkowskian non-local quantum field theories.

Acausal exact vacuum solutions in nonlocal gravity Non-unitarity of Minkowskian non-local quantum field theories

Reference 39

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This paper cites Negative metric and the unitarity of theS-matrix.

Acausal exact vacuum solutions in nonlocal gravity Negative metric and the unitarity of theS-matrix

Reference 40

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This paper cites Finite theory of quantum electrodynamics.

Acausal exact vacuum solutions in nonlocal gravity Finite theory of quantum electrodynamics

Reference 41

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This paper cites A new formulation of Lee-Wick quantum field theory.

Acausal exact vacuum solutions in nonlocal gravity A new formulation of Lee-Wick quantum field theory

Reference 42

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This paper cites Perturbative unitarity of Lee-Wick quantum field theory.

Acausal exact vacuum solutions in nonlocal gravity Perturbative unitarity of Lee-Wick quantum field theory

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This paper cites Fakeons And Lee-Wick Models.

Acausal exact vacuum solutions in nonlocal gravity Fakeons And Lee-Wick Models

Reference 44

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This paper cites A new quantization principle from a minimally non time-ordered product.

Acausal exact vacuum solutions in nonlocal gravity A new quantization principle from a minimally non time-ordered product

Reference 45

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This paper cites Diagrammar of physical and fake particles and spectral optical theorem.

Acausal exact vacuum solutions in nonlocal gravity Diagrammar of physical and fake particles and spectral optical theorem

Reference 46

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This paper cites Causality in Nonlocal Gravity.

Acausal exact vacuum solutions in nonlocal gravity Causality in Nonlocal Gravity

Reference 47

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This paper cites Black holes in an ultraviolet complete quantum gravity.

Acausal exact vacuum solutions in nonlocal gravity Black holes in an ultraviolet complete quantum gravity

Reference 48

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This paper cites Lee-Wick Black Holes.

Acausal exact vacuum solutions in nonlocal gravity Lee-Wick Black Holes

Reference 49

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This paper cites Newtonian potential in higher-derivative quantum gravity.

Acausal exact vacuum solutions in nonlocal gravity Newtonian potential in higher-derivative quantum gravity

Reference 50

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This paper cites Higher-order regularity in local and nonlocal quantum gravity.

Acausal exact vacuum solutions in nonlocal gravity Higher-order regularity in local and nonlocal quantum gravity

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This paper cites On the analytic extension of regular rotating black holes.

Acausal exact vacuum solutions in nonlocal gravity On the analytic extension of regular rotating black holes

Reference 52

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This paper cites Regular multi-horizon Lee-Wick black holes.

Acausal exact vacuum solutions in nonlocal gravity Regular multi-horizon Lee-Wick black holes

Reference 53

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This paper cites On effective models of regular black holes inspired by higher-derivative and nonlocal gravity.

Acausal exact vacuum solutions in nonlocal gravity On effective models of regular black holes inspired by higher-derivative and nonlocal gravity

Reference 54

Resolution: verified exact; arxiv_id, observed 2026-07-01T00:45:12.209007Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 6c2ab783-d6c5-4b9d-9a1c-6b14979a63f0 · outbound

This paper cites Geodesic incompleteness of some popular regular black holes.

Acausal exact vacuum solutions in nonlocal gravity Geodesic incompleteness of some popular regular black holes

Reference 55

Resolution: metadata mismatch; arxiv_id, observed 2026-07-01T00:45:12.244003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 84fee4b9-1664-41a0-adfc-4448b1ffbb23 · outbound

This paper cites Stringballs and Planckballs for Dark Matter.

Acausal exact vacuum solutions in nonlocal gravity Stringballs and Planckballs for Dark Matter

Reference 56

Resolution: verified exact; arxiv_id, observed 2026-07-01T00:45:12.155269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 342c3afe-db52-4ae0-987e-e53f29dc0425 · outbound

This paper cites Universal leading quantum correction to the Newton potential.

Acausal exact vacuum solutions in nonlocal gravity Universal leading quantum correction to the Newton potential

Reference 57

Resolution: verified exact; arxiv_id, observed 2026-07-01T00:45:12.158907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation ae0fe7fa-4aef-474c-ad9a-39f84dabbb7a · outbound

This paper cites Action principle selection of regular black holes.

Acausal exact vacuum solutions in nonlocal gravity Action principle selection of regular black holes

Reference 58

Resolution: verified exact; arxiv_id, observed 2026-07-01T00:45:12.183601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 43208224-2a03-4c7d-86bd-670c231cd50f · outbound

This paper cites Non-locality and gravitoelectromagnetic duality.

Acausal exact vacuum solutions in nonlocal gravity Non-locality and gravitoelectromagnetic duality

Reference 59

Resolution: verified exact; arxiv_id, observed 2026-07-01T00:45:12.206069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation c18a54e5-bd07-4186-a96f-1bde4ef3fd45 · outbound

This paper cites Effects of Non-locality in Gravity and Quantum Theory.

Acausal exact vacuum solutions in nonlocal gravity Effects of Non-locality in Gravity and Quantum Theory

Reference 60

Resolution: verified exact; arxiv_id, observed 2026-07-01T00:45:12.262945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 971e9f19-7895-4174-ac03-ed0ed01411f2 · outbound

This paper cites Nonlocal Spacetime-Matter.

Acausal exact vacuum solutions in nonlocal gravity Nonlocal Spacetime-Matter

Reference 61

Resolution: verified exact; arxiv_id, observed 2026-07-01T00:45:12.254906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 63fae74a-a65e-483b-a5ca-6510bdc80443 · outbound

This paper cites The Higgs mechanism in nonlocal field theory.

Acausal exact vacuum solutions in nonlocal gravity The Higgs mechanism in nonlocal field theory

Reference 62

Resolution: verified exact; arxiv_id, observed 2026-07-01T00:45:12.221645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 33bf7789-5070-46f9-b105-426ffebc740f · outbound

This paper cites Renormalizability of nonlocal quantum gravity coupled to matter.

Acausal exact vacuum solutions in nonlocal gravity Renormalizability of nonlocal quantum gravity coupled to matter

Reference 63

Resolution: metadata mismatch; arxiv_id, observed 2026-07-01T00:45:12.192552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 09915dbc-0296-4a8d-acfa-cb921c31e30f · outbound

This paper cites Approaching a spacetime singularity in conformal gravity.

Acausal exact vacuum solutions in nonlocal gravity Approaching a spacetime singularity in conformal gravity

Reference 64

Resolution: verified exact; local_arxiv, observed 2026-07-01T00:45:12.124245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation cfe34ecb-cb47-4882-a4aa-26088898d759 · outbound

This paper cites Singularity-free black holes in conformal gravity: new observational constraints.

Acausal exact vacuum solutions in nonlocal gravity Singularity-free black holes in conformal gravity: new observational constraints

Reference 65

Resolution: verified exact; arxiv_id, observed 2026-07-01T00:45:12.180883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 1ea1cc4c-b318-4476-9c6b-8e1d4143f046 · outbound

This paper cites A general study of regular and singular black hole solutions in Einstein's conformal gravity.

Acausal exact vacuum solutions in nonlocal gravity A general study of regular and singular black hole solutions in Einstein's conformal gravity

Reference 66

Resolution: verified exact; local_arxiv, observed 2026-07-01T00:45:12.166588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation e966886f-98f0-48af-8901-77bf07b2487e · outbound

This paper cites Formation and evaporation of an electrically charged black hole in conformal gravity.

Acausal exact vacuum solutions in nonlocal gravity Formation and evaporation of an electrically charged black hole in conformal gravity

Reference 67

Resolution: verified exact; local_arxiv, observed 2026-07-01T00:45:12.224491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation e616233c-e078-4c0f-89be-73bea9b914df · outbound

This paper cites Testing conformal gravity with astrophysical black holes.

Acausal exact vacuum solutions in nonlocal gravity Testing conformal gravity with astrophysical black holes

Reference 68

Resolution: verified exact; local_arxiv, observed 2026-07-01T00:45:12.169390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 043f9735-be2a-4eca-8756-88d49b7bd6e3 · outbound

This paper cites Finite conformal quantum gravity and spacetime singularities.

Acausal exact vacuum solutions in nonlocal gravity Finite conformal quantum gravity and spacetime singularities

Reference 69

Resolution: verified exact; local_arxiv, observed 2026-07-01T00:45:12.171923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 6a2cd046-8c70-476e-b6bb-c58f4f4b1107 · outbound

This paper cites Black hole evaporation in conformal gravity.

Acausal exact vacuum solutions in nonlocal gravity Black hole evaporation in conformal gravity

Reference 70

Resolution: verified exact; local_arxiv, observed 2026-07-01T00:45:12.246910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 357b7dfa-f389-4bfe-bec5-f642a1286be7 · outbound

This paper cites Spacetime completeness of non-singular black holes in conformal gravity.

Acausal exact vacuum solutions in nonlocal gravity Spacetime completeness of non-singular black holes in conformal gravity

Reference 71

Resolution: verified exact; local_arxiv, observed 2026-07-01T00:45:12.151458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 5b3a3d3a-830b-429c-85c0-b49a2654dc36 · outbound

This paper cites Finite Entanglement Entropy of Black Holes.

Acausal exact vacuum solutions in nonlocal gravity Finite Entanglement Entropy of Black Holes

Reference 72

Resolution: verified exact; local_arxiv, observed 2026-07-01T00:45:12.230166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation a862419b-7c8f-4ce5-ba4f-220b9d2085db · outbound

This paper cites Occurrence of exact $R^2$ inflation in non-local UV-complete gravity.

Acausal exact vacuum solutions in nonlocal gravity Occurrence of exact $R^2$ inflation in non-local UV-complete gravity

Reference 73

Resolution: verified exact; local_arxiv, observed 2026-07-01T00:45:12.143930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation f1f309a0-c5e3-4d37-8bf4-b82623e58ac6 · outbound

This paper cites Action Integrals and Partition Functions in Quantum Gravity.

Acausal exact vacuum solutions in nonlocal gravity Action Integrals and Partition Functions in Quantum Gravity

Reference 74

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T08:23:31.522259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation b4c2beeb-7d7d-46ec-afd4-0b8a77bf63ef · outbound

This paper cites Quantum gravity black holes as dark matter?.

Acausal exact vacuum solutions in nonlocal gravity Quantum gravity black holes as dark matter?

Reference 75

Resolution: verified exact; arxiv_id, observed 2026-07-01T00:45:12.141309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

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