Paper Citation Record · LEDGER

Doubling for chronological diamonds in Lorentzian geometry

As of 10 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2607.21423.

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

pith.paper-citation-record.v1
2607.21423 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T07:41:24.138175Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

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

13 of 13 outbound references displayed

verified exact2
verified fuzzy0
unresolved9
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7e918cbf-c6d8-4eda-b1c1-bae25b67394a · outbound

This paper cites Alexander and Richard L.

Doubling for chronological diamonds in Lorentzian geometry Alexander and Richard L

Reference 1

Resolution: verified exact; doi, observed 2026-08-01T07:44:06.763807Z

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 dc741f85-0607-4e14-999c-1d836ba17349 · outbound

This paper cites Convergence of Lorentzian spaces and curvature bounds for generalized cones.

Doubling for chronological diamonds in Lorentzian geometry Convergence of Lorentzian spaces and curvature bounds for generalized cones

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T07:41:24.124487Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58925b2d-9fcf-4802-8981-8cc088e92930 · outbound

This paper cites Lorentzian Gromov-Hausdorff convergence and pre-compactness.

Doubling for chronological diamonds in Lorentzian geometry Lorentzian Gromov-Hausdorff convergence and pre-compactness

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T07:41:24.129165Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ea3214b-86f8-4e04-929f-03d9c34a8f58 · outbound

This paper cites [Stu06a] Karl-Theodor Sturm.

Doubling for chronological diamonds in Lorentzian geometry [Stu06a] Karl-Theodor Sturm

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T07:41:24.131648Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27ff7496-c271-4699-9d90-521b2218be5f · outbound

This paper cites [SV16] Christina Sormani and Carlos Vega.

Doubling for chronological diamonds in Lorentzian geometry [SV16] Christina Sormani and Carlos Vega

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T07:41:24.135989Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e68604cd-9d9a-4312-8b12-ff788baddefc · outbound

This paper cites doi: 10.1007/978-3-540-71050-9.

Doubling for chronological diamonds in Lorentzian geometry doi: 10.1007/978-3-540-71050-9

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T07:41:24.138175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f795cb56-dfd5-411a-b7c1-1a3309457fb8 · outbound

This paper cites Lafontaine and P.

Doubling for chronological diamonds in Lorentzian geometry Lafontaine and P

Reference 1981

Resolution: verified exact; doi, observed 2026-08-01T07:44:06.633718Z

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 a1143e4b-e75d-4f5f-bd87-9926ed83401f · outbound

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

Doubling for chronological diamonds in Lorentzian geometry A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes

Reference 2005

Resolution: unresolved; no resolver link, observed 2026-08-01T07:41:24.112348Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4961669-1ef4-4bde-a940-a8632a3e96b9 · outbound

This paper cites [Stu06b] Karl-Theodor Sturm.

Doubling for chronological diamonds in Lorentzian geometry [Stu06b] Karl-Theodor Sturm

Reference 2006

Resolution: unresolved; no resolver link, observed 2026-08-01T07:41:24.133788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e34c3f7b-39f3-46bb-b637-2fb3dc8f52e5 · outbound

This paper cites an unresolved cited work.

Doubling for chronological diamonds in Lorentzian geometry Unresolved cited work

Reference 2009

Resolution: unresolved; no resolver link, observed 2026-08-01T07:41:24.126824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 634b0f56-88ce-4dfb-aef7-d21a5bca128d · outbound

This paper cites 2024.v12.n2.a3.

Doubling for chronological diamonds in Lorentzian geometry 2024.v12.n2.a3

Reference 2024

Resolution: malformed identifier; no resolver link, observed 2026-08-01T07:41:24.117547Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75cd5a8e-4dca-4141-90dd-bbc6d308330a · outbound

This paper cites [CM20] Fabio Cavalletti and Andrea Mondino.

Doubling for chronological diamonds in Lorentzian geometry [CM20] Fabio Cavalletti and Andrea Mondino

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-01T07:41:24.115153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e3d4f3f-f87f-427e-ba35-ccc9ccec74c8 · outbound

This paper cites difgeo.2026.102364.

Doubling for chronological diamonds in Lorentzian geometry difgeo.2026.102364

Reference 2026

Resolution: malformed identifier; no resolver link, observed 2026-08-01T07:41:24.119883Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.