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Paper Citation Record · LEDGER

Fractional Laplace operator on finite graphs

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2403.19987.

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

pith.paper-citation-record.v1
2403.19987 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:43:10.306226Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-22T12:11:31.232417Z

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 c1884165-514b-4bda-a170-cf4daf6d1da3 · inbound

Existence theory for elliptic equations of general exponential nonlinearity on finite graphs cites this paper.

Existence theory for elliptic equations of general exponential nonlinearity on finite graphs Fractional Laplace operator on finite graphs

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-07T15:43:10.306226Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:43:10.306226Z digest=sha256:18998ba18ecbe6dac26cfa3db1828f9466accefc02cdedbdeeb680ad371f1a6a

Observation 517e8482-902a-4f10-af75-7c24eb1aa220 · inbound

The Logarithmic Laplacian on General Graphs cites this paper.

The Logarithmic Laplacian on General Graphs Fractional Laplace operator on finite graphs

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-06T19:32:12.817991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:32:12.817991Z digest=sha256:53f924f4ea6ba35b6eb8c8f9da6768e57e9c194f3f804a9a9a629b1e79acaa94

Observation 8860ff2f-0dce-4d38-a6af-0e32fb982d32 · inbound

On finite-energy solutions of Kazan-Warner equations on the lattice graph cites this paper.

On finite-energy solutions of Kazan-Warner equations on the lattice graph Fractional Laplace operator on finite graphs

Reference 57

Resolution
verified exact
arxiv_id, observed 2026-05-22T12:11:31.234901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-22T12:07:45.229486Z digest=sha256:b51c65a8ccb090a1e98016412e573340abe45f727396632719f0da9023e1a408

Observation 48db8cde-242b-4e8a-8489-d6dee50784cd · inbound

On finite-energy solutions of Kazan-Warner equations on the lattice graph cites this paper.

On finite-energy solutions of Kazan-Warner equations on the lattice graph Fractional Laplace operator on finite graphs

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-05T13:04:10.790079Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T13:04:10.790079Z digest=sha256:4145413d0b456eb3212d60064b2f9f0753765fd121ac5e95cc295507504bad1e

Observation ef928571-057e-4982-8f71-46d1ac66a224 · inbound

Extension theorems for logarithmic Schr\"odinger and discrete Laplacian operators cites this paper.

Extension theorems for logarithmic Schr\"odinger and discrete Laplacian operators Fractional Laplace operator on finite graphs

Reference 40

Resolution
unresolved
no resolver link, observed 2026-07-13T12:43:29.044156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T12:43:29.044156Z digest=sha256:fca2dd75db321a3f18910500f99a7cc5cb81c414b5557eba49ab3002a6d255ed