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Paper Citation Record · LEDGER

Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:gr-qc/0401112.

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

pith.paper-citation-record.v1
gr-qc/0401112 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:29:45.387715Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T17:51:08.234966Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 788d5bd6-e442-47c7-a1d4-4acbb406b3d2 · inbound

An equivalence theorem for algebraic and functorial QFT cites this paper.

An equivalence theorem for algebraic and functorial QFT Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-16T11:29:45.387715Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T11:29:45.387715Z digest=sha256:354da7373d1190908aa5324730ff18ace5f39b0ab3c403175aa1f287f969277e

Observation e4f2a477-da8c-453f-a543-5fc190d917f6 · inbound

A Quantum Singularity Theorem for the Evaporating Black Hole cites this paper.

A Quantum Singularity Theorem for the Evaporating Black Hole Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes

Reference 41

Resolution
verified exact
arxiv_id, observed 2026-07-04T16:47:40.852088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-08T17:03:23.762584Z digest=sha256:75605047f043c3054aafaf746c4737ba8360007151e1109894fe5324feab1204

Observation f7d72053-e4f6-499f-8a53-f9e8e1b0a165 · inbound

Free boundary space-like graphs with prescribed mean curvature cites this paper.

Free boundary space-like graphs with prescribed mean curvature Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-15T15:29:28.375861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:29:28.375861Z digest=sha256:08088684446939ec62290b38fa0507cd22ad69633863b80a93064a3bc015ae38