Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-01T21:07:11.874937Z
Paper Citation Record · LEDGER
Frame Representation of the First-Order Part of the Laplace-Beltrami Operator
As of 13 August 2026, this Paper Citation Record lists 3 of 3 outbound references and 0 inbound Pith citation observations for arXiv:2607.16425.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
3 of 3 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation a5a7c1ce-a867-4398-a54b-da08adb9206f · outbound
This paper cites Cartan,Riemannian Geometry in an Orthogonal Frame: From Lectures Delivered at the Sorbonne in 1926–1927, translated by V.
Frame Representation of the First-Order Part of the Laplace-Beltrami Operator Cartan,Riemannian Geometry in an Orthogonal Frame: From Lectures Delivered at the Sorbonne in 1926–1927, translated by V
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T21:07:11.490786Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 60b2d431-6c52-43cc-a2d4-4a0f0a5b17e7 · outbound
This paper cites Frankel,The Geometry of Physics: An Introduction, 3rd ed., Cambridge University Press, Cambridge, 2012.
Frame Representation of the First-Order Part of the Laplace-Beltrami Operator Frankel,The Geometry of Physics: An Introduction, 3rd ed., Cambridge University Press, Cambridge, 2012
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T21:07:11.643995Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7b85a2d7-5f6b-4f65-86e3-cba5faa21621 · outbound
This paper cites Connection Factorization in Constrained Quantum Mechanics.
Frame Representation of the First-Order Part of the Laplace-Beltrami Operator Connection Factorization in Constrained Quantum Mechanics
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T21:07:11.874937Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.