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Paper Citation Record · LEDGER

On the initial geometry of a vacuum cosmological spacetime

As of 16 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:1908.02185.

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

pith.paper-citation-record.v1
1908.02185 v3

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:05:31.912979Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T10:31:05.625715Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T10:31:06.162666Z

Reference resolution

30 of 30 outbound references displayed

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  • verified fuzzy27
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 32393696-5354-40d2-9480-ce62f05765ce · outbound

This paper cites Quasilinear hyp erbolic Fuchsian systems and A VTD behavior in T 2-symmetric vacuum spacetimes.

On the initial geometry of a vacuum cosmological spacetime Quasilinear hyp erbolic Fuchsian systems and A VTD behavior in T 2-symmetric vacuum spacetimes

Reference 1

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Observation 7fe66cd3-a8ab-495f-91c2-94f292bbb5d4 · outbound

This paper cites On long-time evolution in general relativity and geo metrization of 3-manifolds.

On the initial geometry of a vacuum cosmological spacetime On long-time evolution in general relativity and geo metrization of 3-manifolds

Reference 2

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Observation f4f8b78b-829e-41d8-99f4-0becd7dfa6fb · outbound

This paper cites Regularity for Lorentz metrics under curvatur e bounds.

On the initial geometry of a vacuum cosmological spacetime Regularity for Lorentz metrics under curvatur e bounds

Reference 3

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Observation 5e4ae75c-ce36-41f3-8c5f-80b7c7b91b5f · outbound

This paper cites Global foliations of vacuum spacetimes with T 2 isometry.

On the initial geometry of a vacuum cosmological spacetime Global foliations of vacuum spacetimes with T 2 isometry

Reference 4

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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.

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Observation f0e67dde-4b0c-436f-bc42-f8ca1a940a7d · outbound

This paper cites Phenomenology of the Gowdy univer se on T 3 × R.

On the initial geometry of a vacuum cosmological spacetime Phenomenology of the Gowdy univer se on T 3 × R

Reference 5

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation eff068c3-b399-4634-b902-dad6a5bb7b81 · outbound

This paper cites Oscillatory approach t o the singularity in vacuum spacetimes with T 2 isometry.

On the initial geometry of a vacuum cosmological spacetime Oscillatory approach t o the singularity in vacuum spacetimes with T 2 isometry

Reference 6

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Source-reported events for the cited work

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Observation 95ee1a34-7f44-4ce5-adfd-87940e28797c · outbound

This paper cites Numerical investigation of cosmolog ical singularities.

On the initial geometry of a vacuum cosmological spacetime Numerical investigation of cosmolog ical singularities

Reference 7

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Observation 312e003e-468f-432b-a393-6eaeb7ad798f · outbound

This paper cites Oscillatory approach t o a singular point in the relativistic cosmology.

On the initial geometry of a vacuum cosmological spacetime Oscillatory approach t o a singular point in the relativistic cosmology

Reference 8

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 8f241438-ebb0-4537-bdeb-01e44890bffa · outbound

This paper cites Belinski and M.

On the initial geometry of a vacuum cosmological spacetime Belinski and M

Reference 9

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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.

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Observation 49b09593-9d21-4a69-b136-d5afdffb6778 · outbound

This paper cites Bianchi VIII and IX vacuum cosmologies: Almost every solution forms particle horizons and converges to the Mixmaster attractor.

On the initial geometry of a vacuum cosmological spacetime Bianchi VIII and IX vacuum cosmologies: Almost every solution forms particle horizons and converges to the Mixmaster attractor

Reference 10

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Observation 3aa64df4-7d65-4013-86e0-16038d79e240 · outbound

This paper cites Local foliations and optimal regular ity of Einstein spacetimes.

On the initial geometry of a vacuum cosmological spacetime Local foliations and optimal regular ity of Einstein spacetimes

Reference 11

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 059885f1-36ac-4f2d-a1a6-e4731dac3c44 · outbound

This paper cites Areal foliation and asymptotically velocity-term dominated behavior in T 2 symmetric space-times with positive cosmological constant.

On the initial geometry of a vacuum cosmological spacetime Areal foliation and asymptotically velocity-term dominated behavior in T 2 symmetric space-times with positive cosmological constant

Reference 12

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 0ef1f9ba-6e71-4715-9450-8ea533fd6fc8 · outbound

This paper cites Continuous time dynamics and iteratif e maps of Ellis-MacCallum- Wainwright variables.

On the initial geometry of a vacuum cosmological spacetime Continuous time dynamics and iteratif e maps of Ellis-MacCallum- Wainwright variables

Reference 13

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Observation 71180253-a925-4f62-bf7c-f5520cab09fa · outbound

This paper cites Time functions in numerical relativity: Marginally bound dust collapse.

On the initial geometry of a vacuum cosmological spacetime Time functions in numerical relativity: Marginally bound dust collapse

Reference 14

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Observation fc4c0dd7-5078-44c6-9654-f0c829c5b2fd · outbound

This paper cites Ellis and J.

On the initial geometry of a vacuum cosmological spacetime Ellis and J

Reference 15

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Observation 7a3161f9-d957-43ec-9cf2-67fda1d49f0d · outbound

This paper cites Hamiltonian reduction and perturb ations of continuously self-similar (n + 1)-dimensional Einstein vacuum spacetimes.

On the initial geometry of a vacuum cosmological spacetime Hamiltonian reduction and perturb ations of continuously self-similar (n + 1)-dimensional Einstein vacuum spacetimes

Reference 16

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Observation a83ca65f-c7d2-48ac-9c7b-baf10d6b3ab8 · outbound

This paper cites H-surfaces in Lorentzian manifolds.

On the initial geometry of a vacuum cosmological spacetime H-surfaces in Lorentzian manifolds

Reference 17

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c7567189-d079-44ef-913d-ed76bc6a07fc · outbound

This paper cites On strong cosmic censorship.

On the initial geometry of a vacuum cosmological spacetime On strong cosmic censorship

Reference 18

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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.

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Observation 30e3f5aa-f120-4cae-8795-40aef8fe1e75 · outbound

This paper cites Asymptotic behavior of the gra vitational field and the nature of singu- larities in Gowdy spacetimes.

On the initial geometry of a vacuum cosmological spacetime Asymptotic behavior of the gra vitational field and the nature of singu- larities in Gowdy spacetimes

Reference 19

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Observation 64170511-fb9d-4c6a-85e8-ae31890029d8 · outbound

This paper cites Notes on Perelman’s papers.

On the initial geometry of a vacuum cosmological spacetime Notes on Perelman’s papers

Reference 20

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Source-reported events for the cited work

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Observation 6b7d0db2-75d5-4c90-a669-5990c5b3f16e · outbound

This paper cites Weakly regular T 2-symmetric spacetimes. The global geometry of future Cauchy developments.

On the initial geometry of a vacuum cosmological spacetime Weakly regular T 2-symmetric spacetimes. The global geometry of future Cauchy developments

Reference 21

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Observation 8dda476b-4510-4e9e-a218-adf1ac35f864 · outbound

This paper cites Ancient dynamics in Bianchi models: Approach to periodic cycles.

On the initial geometry of a vacuum cosmological spacetime Ancient dynamics in Bianchi models: Approach to periodic cycles

Reference 22

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Observation e355eab3-47b4-4cc9-803b-d706ebc262f1 · outbound

This paper cites Dimensional reduction and the long-time behavior of R icci flow.

On the initial geometry of a vacuum cosmological spacetime Dimensional reduction and the long-time behavior of R icci flow

Reference 23

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Source-reported events for the cited work

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Observation 093b5199-4022-4e82-b427-dd61cbe2872d · outbound

This paper cites Collapsing in the Einstein flow.

On the initial geometry of a vacuum cosmological spacetime Collapsing in the Einstein flow

Reference 24

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Source-reported events for the cited work

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Observation 2d32c2cc-d127-49cf-b2a3-77fc8351a036 · outbound

This paper cites Maximal hypersurfaces and foliation s of mean curvature in general rela- tivity.

On the initial geometry of a vacuum cosmological spacetime Maximal hypersurfaces and foliation s of mean curvature in general rela- tivity

Reference 25

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ec131d72-3da7-401e-be38-03d15d98de7b · outbound

This paper cites Manufacture of Gowdy spacetimes with spikes.

On the initial geometry of a vacuum cosmological spacetime Manufacture of Gowdy spacetimes with spikes

Reference 26

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Observation bb70c8cc-8696-43c0-bd61-a60eb1be0c49 · outbound

This paper cites The Bianchi IX attractor.

On the initial geometry of a vacuum cosmological spacetime The Bianchi IX attractor

Reference 27

Resolution
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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.

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Observation b36fbe4a-bb3d-495a-aacd-c3b9729ae6a5 · outbound

This paper cites Existence of an asymptotic velocity and implicat ions for the asymptotic behaviour in the direction of the singularity in T 3-Gowdy.

On the initial geometry of a vacuum cosmological spacetime Existence of an asymptotic velocity and implicat ions for the asymptotic behaviour in the direction of the singularity in T 3-Gowdy

Reference 28

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verified fuzzy
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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.

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Observation 583a0e5b-8018-4cde-a8c8-f1a34cd39e26 · outbound

This paper cites Cosmic censorship for Gowdy spacetimes.

On the initial geometry of a vacuum cosmological spacetime Cosmic censorship for Gowdy spacetimes

Reference 29

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verified fuzzy
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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.

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Observation b35d65c9-d7b2-41b9-90b8-782c28378db3 · outbound

This paper cites On the structure of manifolds with po sitive scalar curvature.

On the initial geometry of a vacuum cosmological spacetime On the structure of manifolds with po sitive scalar curvature

Reference 30

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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.

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Pith citing papers

Observation f0d5b479-7a08-44fe-8f6d-98915a7486de · inbound

A localized construction of Kasner-like singularities cites this paper.

A localized construction of Kasner-like singularities On the initial geometry of a vacuum cosmological spacetime

Reference 31

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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.

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