Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T18:20:28.365977Z
Paper Citation Record · LEDGER
Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime
As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 3 inbound Pith citation observations for arXiv:2507.18585.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-11T11:47:16.438524Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-11T11:47:16.581162Z
Reference resolution
21 of 21 outbound references displayed
- verified exact4
- verified fuzzy12
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 9dc6b185-02e1-4cf9-8656-65281321c971 · outbound
This paper cites Stability of Asymptotic Behavior Within Polarised $T^2$-Symmetric Vacuum Solutions with Cosmological Constant.
Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime Stability of Asymptotic Behavior Within Polarised $T^2$-Symmetric Vacuum Solutions with Cosmological Constant
Reference 1
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:20:28.839315Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2a35da9b-c28e-4696-9ea5-778ee12ba8af · outbound
This paper cites Stability of AVTD Behavior within the Polarized $T^2$-symmetric vacuum spacetimes.
Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime Stability of AVTD Behavior within the Polarized $T^2$-symmetric vacuum spacetimes
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:20:28.811986Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7f4d39d4-04fa-4c08-b088-b5e8bcd0b054 · outbound
This paper cites A localized construction of Kasner-like singularities.
Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime A localized construction of Kasner-like singularities
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:20:28.271253Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dcd61e77-f19a-4464-b07e-fffa24f5f98c · outbound
This paper cites Localized past stability of the subcritical Kasner-scalar field spacetimes.
Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime Localized past stability of the subcritical Kasner-scalar field spacetimes
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:20:28.726554Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 18a6d2b0-2ceb-4cc3-ba89-a6e5f759a4dd · outbound
This paper cites Boothroyd, Analysis of the Einstein–Maxwell–Scalar Field Equations in Cosmology, Master thesis, University of Otago, Dunedin, New Zealand, 2025.
Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime Boothroyd, Analysis of the Einstein–Maxwell–Scalar Field Equations in Cosmology, Master thesis, University of Otago, Dunedin, New Zealand, 2025
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:20:29.180595Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9d390680-a39d-42a7-83a0-023faf5ded0a · outbound
This paper cites Darmour, M.
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:20:29.150867Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 91a32405-11d6-48fd-bdc5-94f63df59b72 · outbound
This paper cites Edward, Quark–Gluon Plasma, Heavy Ion Collisions and Hadrons, World Scientific Lecture Notes in Physics.
Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime Edward, Quark–Gluon Plasma, Heavy Ion Collisions and Hadrons, World Scientific Lecture Notes in Physics
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:20:29.128394Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 95f8d960-5782-40e4-9ff7-47a9e25ad184 · outbound
This paper cites Fajman and L.
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:20:29.107027Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d08938f2-2e18-4400-8c4d-314eafaa6693 · outbound
This paper cites On the past maximal development of near-FLRW data for the Einstein scalar-field Vlasov system.
Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime On the past maximal development of near-FLRW data for the Einstein scalar-field Vlasov system
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:20:28.304452Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 04bf0524-e379-4f11-bde5-4b04dd617a15 · outbound
This paper cites Fournodavlos, I.
Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime Fournodavlos, I
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:20:29.079476Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 472af407-4dd4-41b1-ab16-e2004fecbf67 · outbound
This paper cites an unresolved cited work.
Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime Unresolved cited work
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:20:28.314406Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 445d5c37-115f-44bf-85bc-d0bfae65b22e · outbound
This paper cites Ringstrom,The Cauchy problem in general relativity, ESI Lectures in Mathematics and Physics, European Mathematical Society (EMS), Zürich, 2009.
Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime Ringstrom,The Cauchy problem in general relativity, ESI Lectures in Mathematics and Physics, European Mathematical Society (EMS), Zürich, 2009
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:20:29.053405Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bb8890d5-3f6d-4d6a-b47d-193d85d6d78a · outbound
This paper cites Rodnianski and J.
Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime Rodnianski and J
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:20:29.023336Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ed8ef412-ed17-401d-9bbf-abc284796a66 · outbound
This paper cites Rodnianski and J.
Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime Rodnianski and J
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:20:28.999447Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation afd0da2c-f0eb-4d3e-9cec-2e5b48f445d1 · outbound
This paper cites Rodnianski and J.
Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime Rodnianski and J
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:20:28.966832Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation aa86072e-f0df-42aa-a42b-b8f6e84a50b4 · outbound
This paper cites Shen,Stability of Minkowski spacetime in exterior regions, Pure Appl.
Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime Shen,Stability of Minkowski spacetime in exterior regions, Pure Appl
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:20:28.943754Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7978da1a-fa20-4e95-a13f-aa47e2bd468b · outbound
This paper cites Speck,The maximal development of near-FLRW data for the Einstein-scalar field system with spatial topologyS3, Comm.
Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime Speck,The maximal development of near-FLRW data for the Einstein-scalar field system with spatial topologyS3, Comm
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:20:28.919504Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c0b096c8-0053-4bb3-a696-ffab4b46cd2f · outbound
This paper cites an unresolved cited work.
Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:20:28.894891Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ac88285f-7171-4a82-9df9-fdff611c5aa8 · outbound
This paper cites an unresolved cited work.
Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:20:28.877466Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 10afe6d0-5cd2-4ea8-83f4-fb45a5e5edff · outbound
This paper cites Taylor, The global nonlinear stability of Minkowski space for the massless Ein- stein–Vlasov system, Ann.
Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime Taylor, The global nonlinear stability of Minkowski space for the massless Ein- stein–Vlasov system, Ann
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:20:28.855983Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 84eccd44-995b-4151-bc9b-3c4b23daf954 · outbound
This paper cites Urban,Quiescent Big Bang formation in2 + 1dimensions, arXiv:2412.03396, (2024).
Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime Urban,Quiescent Big Bang formation in2 + 1dimensions, arXiv:2412.03396, (2024)
Reference 21
- Resolution
- verified exact
- raw_fallback, observed 2026-08-15T18:20:28.565096Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
Observation a5253e99-43b2-4127-8953-f4cf4355d2ff · inbound
Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System cites this paper.
Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T10:01:16.590498Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 973d2154-ed26-4796-a484-fa5b742c4f60 · inbound
Dynamical Formation of Black Holes due to Boundary Effect in Vacuum Gravity cites this paper.
Dynamical Formation of Black Holes due to Boundary Effect in Vacuum Gravity Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T22:44:44.653648Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ebea4776-e06c-46d1-8827-c39c4d4172b8 · inbound
Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data cites this paper.
Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T11:47:16.585672Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.