Paper Citation Record · LEDGER

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system

As of 22 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 1 inbound Pith citation observation for arXiv:2504.19976.

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

pith.paper-citation-record.v1
2504.19976 v1

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T06:00:33.383489Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:40:27.079362Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T19:40:27.205239Z

Reference resolution

44 of 44 outbound references displayed

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verified fuzzy29
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External citation measurements

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Outbound references

Observation 48b7a64d-e22e-4b1e-a417-011681584efa · outbound

This paper cites Formation of Trapped Surfaces from Past Null Infinity.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Formation of Trapped Surfaces from Past Null Infinity

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-16T06:00:33.248048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2369153-7036-480b-8410-4afe34af3486 · outbound

This paper cites An, Emergence of apparent horizon in gravitational collapse , Ann.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system An, Emergence of apparent horizon in gravitational collapse , Ann

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.901751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e3e0a6b6-d893-40b1-9771-6a2ed1ff519a · outbound

This paper cites An, A scale-critical trapped surface formation criterion: a ne w proof via signature for decay rates , Ann.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system An, A scale-critical trapped surface formation criterion: a ne w proof via signature for decay rates , Ann

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.892681Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 88df5310-f48f-4c48-bd9b-1a3cfd43c32f · outbound

This paper cites An, Naked singularity censoring with anisotropic apparent hor izon, To appear in Ann.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system An, Naked singularity censoring with anisotropic apparent hor izon, To appear in Ann

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.882695Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a7896f69-5990-49e0-81e3-5fe95b16e59d · outbound

This paper cites An and N.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system An and N

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.873526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f68c42cb-2239-408a-af55-ffcf71eac10f · outbound

This paper cites Anisotropic Dynamical Horizons Arising in Gravitational Collapse.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Anisotropic Dynamical Horizons Arising in Gravitational Collapse

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-16T06:00:33.264096Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18c89f38-8977-453b-8e58-51f193e5fcc2 · outbound

This paper cites An and Z.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system An and Z

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.864728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c73eb9fb-3924-476b-8fa7-edb21a97a0d7 · outbound

This paper cites An and J.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system An and J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.855251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a27d0762-65af-44da-a4bb-2da991450646 · outbound

This paper cites A Proof of Weak Cosmic Censorship Conjecture for the Spherically Symmetric Einstein-Maxwell-Charged Scalar Field System.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system A Proof of Weak Cosmic Censorship Conjecture for the Spherically Symmetric Einstein-Maxwell-Charged Scalar Field System

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-16T06:00:33.271954Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ba3d17d-1ed2-4313-a6bc-860c50b0d082 · outbound

This paper cites Angelopoulos, S.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Angelopoulos, S

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.845694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ce6c8c82-ab97-4794-9ade-1ca7a0f7423f · outbound

This paper cites Formation of trapped surfaces in the Einstein-Yang-Mills system.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Formation of trapped surfaces in the Einstein-Yang-Mills system

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-16T06:00:33.277721Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7bb4d625-0d8b-415f-8d4a-8aa29e3eb2aa · outbound

This paper cites Bieri, An extension of the stability theorem of the Minkowski space in general relativity, J.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Bieri, An extension of the stability theorem of the Minkowski space in general relativity, J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.836644Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f0f992d4-d40a-4078-9f5f-98093a0e1efd · outbound

This paper cites Regularity of the Future Event Horizon in Perturbations of Kerr.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Regularity of the Future Event Horizon in Perturbations of Kerr

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-16T06:00:33.283997Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2218853f-75fc-41d0-80cd-d8fa5dc68327 · outbound

This paper cites Christodoulou, The formation of Black Holes in General Relativity , EMS Mono- graphs in Mathematics, 2009.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Christodoulou, The formation of Black Holes in General Relativity , EMS Mono- graphs in Mathematics, 2009

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.827048Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4b227373-8b1b-4a0c-9dad-5eaf466e66f6 · outbound

This paper cites Christodoulou and S.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Christodoulou and S

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.817785Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 59ef73b5-21c8-401c-ba6e-fc1cd6e69c9d · outbound

This paper cites Giorgi, The linear stability of Reissner-Nordström spacetime for s mall charge , Ann.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Giorgi, The linear stability of Reissner-Nordström spacetime for s mall charge , Ann

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.807786Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation de67b4a3-7ad7-46a3-be5b-df1e64212cf2 · outbound

This paper cites Giorgi, S.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Giorgi, S

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.797960Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 87864815-6d06-4975-b6a2-33e4f24aa435 · outbound

This paper cites Ultimately Schwarzschildean Spacetimes and the Black Hole Stability Problem.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Ultimately Schwarzschildean Spacetimes and the Black Hole Stability Problem

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-16T06:00:33.298835Z

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Unavailable: canonical work link unavailable.

Observation ab921d23-a4d7-47fe-899d-8c8d1b06b1d5 · outbound

This paper cites an unresolved cited work.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-16T06:00:33.787803Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8b034f5b-9c93-4413-8427-113500e19a8b · outbound

This paper cites Kehle and R.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Kehle and R

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.776932Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4156003f-908b-4949-b7f3-61d55d71a8bd · outbound

This paper cites Extremal black hole formation as a critical phenomenon.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Extremal black hole formation as a critical phenomenon

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-16T06:00:33.309119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20d6a07a-864f-45c2-823b-5ca396249bab · outbound

This paper cites Klainerman, J.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Klainerman, J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.766654Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 16bc9fc3-b5a5-47ca-bac9-73179d0f85af · outbound

This paper cites Klainerman and F.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Klainerman and F

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.755705Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation db8f6eb5-2792-4081-9154-676afe2a9dc9 · outbound

This paper cites Klainerman and I.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Klainerman and I

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.745300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ebfdc537-015c-49fd-b522-6a4cc42f9189 · outbound

This paper cites Klainerman and I.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Klainerman and I

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.733516Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f7c7416c-9661-4dd5-ab3b-ff49c48674af · outbound

This paper cites Klainerman and J.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Klainerman and J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.721429Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f19a82c2-324b-4cb1-99cf-fbc0ddf62ad0 · outbound

This paper cites Kommemi, The global structure of spherically symmetric charged scal ar ﬁeld space- times, Commun.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Kommemi, The global structure of spherically symmetric charged scal ar ﬁeld space- times, Commun

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.711809Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 49a6812f-a6ed-49c1-bb18-9178d5071328 · outbound

This paper cites an unresolved cited work.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-16T06:00:33.697606Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 37bb42d2-15e6-4450-bbe5-fda1e22f9375 · outbound

This paper cites an unresolved cited work.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-16T06:00:33.686722Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e7d48b1b-4e03-4d6c-863a-b94422952bd3 · outbound

This paper cites Li and J.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Li and J

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.675275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d7d41f52-346e-4616-b29d-c9225650178c · outbound

This paper cites Li and P.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Li and P

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.665963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 426a1b08-590c-4a6c-896d-72ca9a5c46b6 · outbound

This paper cites Lindblad and I.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Lindblad and I

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.655815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7896b0b6-ae6d-4541-9ae2-b255ee447682 · outbound

This paper cites Luk, On the local existence for the characteristic initial value problem in general relativity, Int.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Luk, On the local existence for the characteristic initial value problem in general relativity, Int

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.645028Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ecb85343-4f04-4298-b57f-26010f1901ec · outbound

This paper cites Penrose, Gravitational collapse and space-time singularities , Phys.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Penrose, Gravitational collapse and space-time singularities , Phys

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.632677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a0c15499-18ef-42b8-ae70-696e30732f6c · outbound

This paper cites Shen, Stability of Minkowski spacetime in exterior regions , Pure Appl.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Shen, Stability of Minkowski spacetime in exterior regions , Pure Appl

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-16T06:00:33.357756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8af3432-9413-4e25-b426-adff6cab6fb1 · outbound

This paper cites Global stability of Minkowski spacetime with minimal decay.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Global stability of Minkowski spacetime with minimal decay

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-16T06:00:33.360639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f9628b10-45ce-499a-a838-40dcac3a0a44 · outbound

This paper cites Shen, Exterior stability of Minkowski spacetime with borderline decay, arXiv:2405.00735.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Shen, Exterior stability of Minkowski spacetime with borderline decay, arXiv:2405.00735

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-16T06:00:33.363772Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2e0913d-1ee5-4db3-912f-fa819a8e3386 · outbound

This paper cites Speck, The global stability of the Minkowski spacetime solution to the Einstein- Nonlinear system in wave coordinates , Analysis and PDE.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Speck, The global stability of the Minkowski spacetime solution to the Einstein- Nonlinear system in wave coordinates , Analysis and PDE

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.608739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f1c0cfc0-4f8d-413d-bae3-12da25392d05 · outbound

This paper cites Van de Moortel, Decay of weakly charged solutions for the spherically symme tric Maxwell–Charged–Scalar–Field equations on a Reissner–No rdström exterior space- time, Ann.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Van de Moortel, Decay of weakly charged solutions for the spherically symme tric Maxwell–Charged–Scalar–Field equations on a Reissner–No rdström exterior space- time, Ann

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.597202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6667f43f-6a61-4fd6-86f7-74ecd95ab9e0 · outbound

This paper cites Wang, An intrinsic hyperboloid approach for Einstein Klein–Gord on equations , J.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Wang, An intrinsic hyperboloid approach for Einstein Klein–Gord on equations , J

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.586152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9cf534aa-0626-4755-8e9b-4a9c4ca71e67 · outbound

This paper cites Yu, Energy estimates and gravitational collapse , Comm.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Yu, Energy estimates and gravitational collapse , Comm

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.575628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5da05423-2791-427d-80f8-bb9e5711109e · outbound

This paper cites Dynamical formation of black holes due to the condensation of matter field.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Dynamical formation of black holes due to the condensation of matter field

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-16T06:00:33.377282Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 896833b7-a68b-497b-b1e7-474d0e824f5f · outbound

This paper cites Trapped surface formation for the Einstein-Scalar system.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Trapped surface formation for the Einstein-Scalar system

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-16T06:00:33.380082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 12e84d32-b91e-4947-8b4f-3a214e4a6522 · outbound

This paper cites Zipser, The global nonlinear stability of the trivial solution of th e Einstein– Maxwell equations , Ph.D.

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system Zipser, The global nonlinear stability of the trivial solution of th e Einstein– Maxwell equations , Ph.D

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:00:33.566037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

Observation e4b72396-cd4a-4952-b4b7-08eefa335aaf · inbound

Formation of multiple Black Holes from Cauchy data cites this paper.

Formation of multiple Black Holes from Cauchy data Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system

Reference 67

Resolution: verified exact; local_arxiv, observed 2026-08-15T19:40:27.210078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.