Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T15:04:23.912344Z
Paper Citation Record · LEDGER
The existence of the solution of the wave equation on graphs
As of 24 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:1908.02137.
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 2026-08-23T06:30:58.430688+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:18:36.770082Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-07T05:18:39.095334Z
Reference resolution
18 of 18 outbound references displayed
- verified exact1
- verified fuzzy7
- unresolved10
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation c716839d-0161-45c3-8d4a-915c6671520d · outbound
This paper cites F.-C., Ngai, S.-M., Teplyaev, A.: One-dimensio nal wave equations defined by fractal Laplacians.
The existence of the solution of the wave equation on graphs F.-C., Ngai, S.-M., Teplyaev, A.: One-dimensio nal wave equations defined by fractal Laplacians
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:04:24.114739Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 5d3b2b92-2512-4680-b886-3b2d061c986f · outbound
This paper cites C.: Partial differential equations.
The existence of the solution of the wave equation on graphs C.: Partial differential equations
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:04:24.104895Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c35753c6-bdc9-4470-8f59-1d8b3be8cf1d · outbound
This paper cites Pacific J.
The existence of the solution of the wave equation on graphs Pacific J
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:04:24.095572Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 11949688-cb79-4c5a-967e-79b1fde7fa10 · outbound
This paper cites Lecture notes at Univ ersity of Bielefeld (2009).
The existence of the solution of the wave equation on graphs Lecture notes at Univ ersity of Bielefeld (2009)
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:04:24.085784Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4c7fbc32-36c2-4e24-90dc-7b67b1af60d9 · outbound
This paper cites an unresolved cited work.
The existence of the solution of the wave equation on graphs Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:04:24.076021Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 373aa2e9-d17a-4770-9cae-c2f3c6b14156 · outbound
This paper cites an unresolved cited work.
The existence of the solution of the wave equation on graphs Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:04:24.065579Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 872b0c93-1153-47bb-ae93-0a887080a541 · outbound
This paper cites an unresolved cited work.
The existence of the solution of the wave equation on graphs Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:04:24.055961Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 68334852-5442-4d5e-a850-76e517ff0530 · outbound
This paper cites an unresolved cited work.
The existence of the solution of the wave equation on graphs Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:04:24.045676Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation af2f2bba-0a65-4601-8c7e-972274a00787 · outbound
This paper cites Academic Press, Orlando (1984), Ame r.
The existence of the solution of the wave equation on graphs Academic Press, Orlando (1984), Ame r
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:04:24.035862Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 1e84ca7c-ad33-46a3-89f3-1e5000ea32dd · outbound
This paper cites an unresolved cited work.
The existence of the solution of the wave equation on graphs Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:04:24.026734Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a5b6eea8-3f3a-4a8d-9454-602c79cb0de1 · outbound
This paper cites Waves in Random Media.
The existence of the solution of the wave equation on graphs Waves in Random Media
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:04:24.017725Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c370a8b1-7472-4a40-a373-c192e8adc8cb · outbound
This paper cites Infinite Propagation Speed For Wave Solutions on Some P.C.F. Fractals.
The existence of the solution of the wave equation on graphs Infinite Propagation Speed For Wave Solutions on Some P.C.F. Fractals
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T15:04:23.946048Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 25c1ee8a-0c53-41c9-bf1c-31dad8bc4367 · outbound
This paper cites an unresolved cited work.
The existence of the solution of the wave equation on graphs Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:04:24.008505Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 87d39696-7bdb-4637-90be-d9a65fcf0fda · outbound
This paper cites In Hyperbolic equations and related topics.
The existence of the solution of the wave equation on graphs In Hyperbolic equations and related topics
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:04:23.996844Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4982bb31-9f0a-4426-bea1-53d368c2e286 · outbound
This paper cites an unresolved cited work.
The existence of the solution of the wave equation on graphs Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:04:23.986076Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 1dd11a61-cd46-415e-bc81-c92469eb9b5b · outbound
This paper cites an unresolved cited work.
The existence of the solution of the wave equation on graphs Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:04:23.976063Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9049d7f1-33cd-48be-aa42-b29d9d6ae2c9 · outbound
This paper cites an unresolved cited work.
The existence of the solution of the wave equation on graphs Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:04:23.965765Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0d5d1657-68ed-4120-bd61-a4f83dc932c8 · outbound
This paper cites an unresolved cited work.
The existence of the solution of the wave equation on graphs Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:04:23.956750Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Pith citing papers
Observation ac2a0399-82e2-4aee-81ed-bdc0e37c8aca · inbound
Nonexistence results for the semilinear wave equation on graphs cites this paper.
Nonexistence results for the semilinear wave equation on graphs The existence of the solution of the wave equation on graphs
Reference 27
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T05:18:39.204775Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.