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Paper Citation Record · LEDGER

Stability of isoperimetric inequalities for Laplace eigenvalues on surfaces

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2106.15043.

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

pith.paper-citation-record.v1
2106.15043 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T19:02:22.424723Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T12:25:43.368111Z

Reference resolution

0 of 0 outbound references displayed

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  • verified fuzzy0
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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 1f2a7aa9-6158-423a-af07-9c40a8081a6b · inbound

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ cites this paper.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Stability of isoperimetric inequalities for Laplace eigenvalues on surfaces

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-07T19:02:22.424723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T19:02:22.424723Z digest=sha256:1eba9217e8f70e14929d46cb3c497ed0975e25a3bc945c1cd5fe2e1d591a2a64

Observation 6af9739c-8387-47c7-9952-a6850d818084 · inbound

Maximizing higher eigenvalues in dimensions three and above cites this paper.

Maximizing higher eigenvalues in dimensions three and above Stability of isoperimetric inequalities for Laplace eigenvalues on surfaces

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-07T05:01:08.385069Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:01:08.385069Z digest=sha256:bfdde299c20257069c21a40396737303a1d3dcf8c7d3cac406619b1b28a456fb

Observation 1a563817-ea97-43f5-9ec1-96a6d0355228 · inbound

Eigenvalue optimization via a first-variation formula cites this paper.

Eigenvalue optimization via a first-variation formula Stability of isoperimetric inequalities for Laplace eigenvalues on surfaces

Reference 121

Resolution
verified exact
arxiv_id, observed 2026-07-01T12:25:43.369450Z

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=arxiv_source observed=2026-07-01T02:09:33.752296Z digest=sha256:c9a3ca3693c2e60ab48f231c5b47642a6a464bd19f3ada96f3dddee4d38dac96