Paper Citation Record · LEDGER

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime

As of 11 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2608.04718.

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

pith.paper-citation-record.v1
2608.04718 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:46:46.839438Z

measured 23 of 23 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

23 of 23 outbound references displayed

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External citation measurements

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Outbound references

Observation 4d0cb665-766e-49b2-a151-7e449eed8db6 · outbound

This paper cites A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes.

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes

Reference 1

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Source-reported events for the cited work

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Observation e2527f6e-f1df-41ac-878b-00029560db44 · outbound

This paper cites Causal boundaries for general relativistic space–times.

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime Causal boundaries for general relativistic space–times

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:46:47.940471Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d63862ff-618e-4ff4-9428-bd2b46b3e124 · outbound

This paper cites Thec-completion of Lorentzian metric spaces.

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime Thec-completion of Lorentzian metric spaces

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:46:47.934399Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 046166af-9fa2-4d03-a1ac-40feb2e95e93 · outbound

This paper cites Complete analytic extension of the symmetry axis of Kerr’s solution of Ein- stein’s equations.

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime Complete analytic extension of the symmetry axis of Kerr’s solution of Ein- stein’s equations

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:46:47.928326Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7013d9e4-0857-46cd-af56-09cd32d46178 · outbound

This paper cites A Comparison of Whitehead’s and Einstein’s Formulæ.

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime A Comparison of Whitehead’s and Einstein’s Formulæ

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:46:47.922675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2cfdee0b-9cc2-4e3a-a438-e63af0de5fc0 · outbound

This paper cites Past-Future Asymmetry of the Gravitational Field of a Point Particle.

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime Past-Future Asymmetry of the Gravitational Field of a Point Particle

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:46:47.916049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 25e3751b-5db1-4b69-95f4-7671c30f66e1 · outbound

This paper cites Ideal points in space-time.

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime Ideal points in space-time

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:46:47.908973Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 38b1302e-e644-456d-a96f-62c94bdfcff2 · outbound

This paper cites Domain of dependence.

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime Domain of dependence

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:46:47.901024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a6a2ea64-ae6b-44a3-874f-148ad6f5954c · outbound

This paper cites Local Characterization of Singularities in General Relativity.

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime Local Characterization of Singularities in General Relativity

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:46:47.894479Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 09845db1-217c-4d81-a134-22a6581c0681 · outbound

This paper cites Gigli.Hyperbolic Banach spaces.

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime Gigli.Hyperbolic Banach spaces

Reference 10

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Source-reported events for the cited work

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Observation 511ef201-6093-4877-8d06-4203e09e759a · outbound

This paper cites Universality of the future chronological boundary.

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime Universality of the future chronological boundary

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:46:47.888153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3665a16b-39fd-44ab-95c7-a5a27bdf9676 · outbound

This paper cites Causal completions as Lorentzian pre-length spaces.

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime Causal completions as Lorentzian pre-length spaces

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:46:47.882116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation cb30544e-a3ca-40e0-809b-d04dc099c76c · outbound

This paper cites Maximal Extension of Schwarzschild Metric.

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime Maximal Extension of Schwarzschild Metric

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:46:47.876025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 09078a3a-d22d-40a9-9609-a9dcd01529ee · outbound

This paper cites Lorentzian length spaces.

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime Lorentzian length spaces

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:46:47.869856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 74f738d0-47ce-4d03-8640-120e032184e9 · outbound

This paper cites Chain-complete posets and directed sets with applications.

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime Chain-complete posets and directed sets with applications

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:46:47.863829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2c5b4cb9-2dc1-4ce8-893d-f5cc179f55ee · outbound

This paper cites Timelike Ricci curvature lower bounds via optimal transport for Orlicz-type Lorentzian costs.

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime Timelike Ricci curvature lower bounds via optimal transport for Orlicz-type Lorentzian costs

Reference 16

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Source-reported events for the cited work

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Observation ca5ee964-bc30-41c3-a43b-f71799beaf60 · outbound

This paper cites Asymptotic properties of fields and space-times.

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime Asymptotic properties of fields and space-times

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:46:47.857041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b904aab8-8668-44b1-9155-d29b60ecd2cb · outbound

This paper cites TheC 0-inextendibility of the Schwarzschild spacetime and the spacelike diameter in Lorentzian geometry.

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime TheC 0-inextendibility of the Schwarzschild spacetime and the spacelike diameter in Lorentzian geometry

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:46:47.848350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1eb4dbdf-c8a4-4384-b06a-41e0973f1760 · outbound

This paper cites A construction of boundaries for field manifolds.

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime A construction of boundaries for field manifolds

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:46:47.716869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 86fca2c9-3f73-4620-b2b0-f9c81606546d · outbound

This paper cites ¨Uber das Gravitationsfeld eines Massenpunktes nach der Einstein- schen Theorie.

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime ¨Uber das Gravitationsfeld eines Massenpunktes nach der Einstein- schen Theorie

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:46:47.564361Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8d56a402-dc8d-437d-a5c4-31a8401493cb · outbound

This paper cites The abstract boundary—a new approach to singularities of manifolds.

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime The abstract boundary—a new approach to singularities of manifolds

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:46:47.429985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 17f0f625-d849-4999-851b-82ee12f0b429 · outbound

This paper cites On the singularities of a Riemannian manifold.

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime On the singularities of a Riemannian manifold

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:46:47.331587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 95b72d0c-1744-4af0-9240-c26f316288bf · outbound

This paper cites Dcpo-completion of posets.

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime Dcpo-completion of posets

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:46:47.139298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

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