Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
The Gauss formulas for Laplacians on submanifolds
As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2212.11928.
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 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-02T13:42:56.264273Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-06-30T19:15:00.076606Z
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 b5b4868e-904b-4e7c-8421-009b0fa885c7 · inbound
Resolving the viscosity operator ambiguity on Riemannian manifolds via a kinematic selection principle cites this paper.
Resolving the viscosity operator ambiguity on Riemannian manifolds via a kinematic selection principle The Gauss formulas for Laplacians on submanifolds
Reference 8
- Resolution
- verified exact
- arxiv_id, observed 2026-05-19T22:27:49.242475Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e1c23ec6-8d2f-428d-ab19-61bd34209e45 · inbound
Resolving the viscosity operator ambiguity on Riemannian manifolds via a kinematic selection principle cites this paper.
Resolving the viscosity operator ambiguity on Riemannian manifolds via a kinematic selection principle The Gauss formulas for Laplacians on submanifolds
Reference 8
- Resolution
- verified exact
- arxiv_id, observed 2026-06-30T19:15:00.078324Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c2f4d428-51ad-4eb8-8884-2dcd60592fa8 · inbound
Boundary conditions select the viscous operator on Riemannian hypersurfaces: formal analysis and rigorous thin-shell limits cites this paper.
Boundary conditions select the viscous operator on Riemannian hypersurfaces: formal analysis and rigorous thin-shell limits The Gauss formulas for Laplacians on submanifolds
Reference 4
- Resolution
- verified exact
- arxiv_id, observed 2026-05-21T02:53:55.347030Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 28b9dab1-280f-403d-bbc8-feb91363832a · inbound
Boundary conditions select the viscous operator on Riemannian hypersurfaces: formal analysis and rigorous thin-shell limits cites this paper.
Boundary conditions select the viscous operator on Riemannian hypersurfaces: formal analysis and rigorous thin-shell limits The Gauss formulas for Laplacians on submanifolds
Reference 4
- Resolution
- verified exact
- arxiv_id, observed 2026-06-30T17:54:58.030930Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 639358eb-e671-4837-9f66-8866684487ee · inbound
Boundary conditions select the viscous operator on Riemannian hypersurfaces: formal analysis and rigorous thin-shell limits cites this paper.
Boundary conditions select the viscous operator on Riemannian hypersurfaces: formal analysis and rigorous thin-shell limits The Gauss formulas for Laplacians on submanifolds
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T13:42:56.264273Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 93f91e3a-2711-4ffa-9fca-35be15f1c22d · inbound
Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian cites this paper.
Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian The Gauss formulas for Laplacians on submanifolds
Reference 13
- Resolution
- verified exact
- arxiv_id, observed 2026-06-30T07:14:21.466845Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.