Pith. sign in

Paper Citation Record · LEDGER

The volume of marginally trapped submanifolds in a Lorentzian manifold satisfying the null energy condition

As of 9 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 0 inbound Pith citation observations for arXiv:2506.07093.

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

pith.paper-citation-record.v1
2506.07093 v1

Coverage vector

measured 6 of 6 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:56:02.414964Z

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

6 of 6 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c168dcbe-0e34-4caa-86bb-2ccc05f20f1e · outbound

This paper cites Akamine, A.

The volume of marginally trapped submanifolds in a Lorentzian manifold satisfying the null energy condition Akamine, A

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:56:02.522781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:56:02.392850Z digest=sha256:656ccf125c105de24be3ed615127be4af78aef3cae6fd64ed53ee431ff86dba5

Observation 05a271b7-ebe4-42a3-8af2-95d45f37f978 · outbound

This paper cites Akamine, A.

The volume of marginally trapped submanifolds in a Lorentzian manifold satisfying the null energy condition Akamine, A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:56:02.508015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:56:02.397874Z digest=sha256:6ac900c28b9de61484cbcb3aa9d68700714883e170e54cd8c3b19afb5cc51f68

Observation 9ab32b38-ee67-42a4-90ae-df9f713dda85 · outbound

This paper cites Andersson and J.

The volume of marginally trapped submanifolds in a Lorentzian manifold satisfying the null energy condition Andersson and J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:56:02.493201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:56:02.401944Z digest=sha256:bd4d4cec51fe712dcf6afc7d5aa3728085f9f16c5d51c3cb9f24edbdb9f6e605

Observation 76857bb3-6995-42e2-85a6-0ad7bcbb11e3 · outbound

This paper cites Honda and S.

The volume of marginally trapped submanifolds in a Lorentzian manifold satisfying the null energy condition Honda and S

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:56:02.479172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:56:02.406046Z digest=sha256:946b58ad5c2b72707c0e1270fce6fb3783aa4ec707760fd2672dcbe7d56d063b

Observation b34e043f-ec57-4475-afa6-f234be0a2c7a · outbound

This paper cites Kishida, The volume of conformally flat manifolds as hypersurfaces in the light-cone , Differential Geom.

The volume of marginally trapped submanifolds in a Lorentzian manifold satisfying the null energy condition Kishida, The volume of conformally flat manifolds as hypersurfaces in the light-cone , Differential Geom

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:56:02.465733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:56:02.410705Z digest=sha256:7360b098d533a0af26cbac58fdbf2f787ec406fe0c9011bb4bfa20e870b8a2e8

Observation 025028ae-8e25-45d9-a36a-b017a5ac102f · outbound

This paper cites Schoen and J.

The volume of marginally trapped submanifolds in a Lorentzian manifold satisfying the null energy condition Schoen and J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:56:02.450376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:56:02.414964Z digest=sha256:1c05a00648302cc1ed3dfdd3b820afbbc485fd8468437cb4acab278c51eee5b1

Pith citing papers

No inbound Pith citation observations are available.