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Paper Citation Record · LEDGER

Gaussian upper heat kernel bounds and Faber-Krahn inequalities on graphs

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2410.11715.

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

pith.paper-citation-record.v1
2410.11715 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 1 of 1 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T09:32:43.371239Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T11:28:04.503451Z

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 cdd64827-261a-427d-804b-149e5a10f6f6 · inbound

Krahn--Szeg\H{o} type inequalities and nodal domain methods on graphs cites this paper.

Krahn--Szeg\H{o} type inequalities and nodal domain methods on graphs Gaussian upper heat kernel bounds and Faber-Krahn inequalities on graphs

Reference 41

Resolution
verified exact
arxiv_id, observed 2026-07-03T11:28:04.505387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-27T09:32:43.371239Z digest=sha256:008e772186d3fe8ff4f660b164ebeb63b9da8930182c86733496910b2d6fbe85