Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T15:46:05.696409Z
Paper Citation Record · LEDGER
Spectral and Geometric Stability for the Reciprocal Sum of Neumann Eigenvalues
As of 22 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2607.19008.
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 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
20 of 20 outbound references displayed
- verified exact0
- verified fuzzy11
- unresolved9
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation e974344b-b160-4fdb-8044-09743c41b65c · outbound
This paper cites Arrieta and Alexandre N.
Spectral and Geometric Stability for the Reciprocal Sum of Neumann Eigenvalues Arrieta and Alexandre N
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:46:05.941420Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 24cace14-7142-4989-8265-3df87cc67e5b · outbound
This paper cites Ashbaugh and Rafael D.
Spectral and Geometric Stability for the Reciprocal Sum of Neumann Eigenvalues Ashbaugh and Rafael D
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:46:05.930705Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 419a59b5-b81a-4b1b-8753-e5d2b6098c12 · outbound
This paper cites an unresolved cited work.
Spectral and Geometric Stability for the Reciprocal Sum of Neumann Eigenvalues Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:46:05.919303Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 2a48db38-04e4-44f9-8927-19d0364c0b4a · outbound
This paper cites an unresolved cited work.
Spectral and Geometric Stability for the Reciprocal Sum of Neumann Eigenvalues Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:46:05.908587Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 61533dd5-0928-4cea-aed1-cdd98cb269fe · outbound
This paper cites an unresolved cited work.
Spectral and Geometric Stability for the Reciprocal Sum of Neumann Eigenvalues Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:46:05.897639Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation fc67be3f-b5ba-4961-be42-fbb20958cb29 · outbound
This paper cites 222 (2019), no.
Spectral and Geometric Stability for the Reciprocal Sum of Neumann Eigenvalues 222 (2019), no
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:46:05.887568Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 40d90458-c1d2-4b03-b277-83888a7fbce4 · outbound
This paper cites Pure Appl.
Spectral and Geometric Stability for the Reciprocal Sum of Neumann Eigenvalues Pure Appl
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:46:05.877201Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d3f2bd23-110c-467a-87b6-631dbe60a746 · outbound
This paper cites 22, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2011, Metrics, analysis, differential calculus, and optimization.
Spectral and Geometric Stability for the Reciprocal Sum of Neumann Eigenvalues 22, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2011, Metrics, analysis, differential calculus, and optimization
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:46:05.866359Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0999f4f3-411a-4d59-8542-d5df6c576879 · outbound
This paper cites A proof of the Ashbaugh--Benguria conjecture for reciprocal sums of Neumann eigenvalues.
Spectral and Geometric Stability for the Reciprocal Sum of Neumann Eigenvalues A proof of the Ashbaugh--Benguria conjecture for reciprocal sums of Neumann eigenvalues
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:46:05.658467Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1bd5a601-03c2-4e40-ae64-15754b966cff · outbound
This paper cites an unresolved cited work.
Spectral and Geometric Stability for the Reciprocal Sum of Neumann Eigenvalues Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:46:05.855097Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 3f565f7e-88ed-4db9-b9f6-c9757f12db8c · outbound
This paper cites Hile and Zhen Yuan Xu, Inequalities for sums of reciprocals of eigenvalues , J.
Spectral and Geometric Stability for the Reciprocal Sum of Neumann Eigenvalues Hile and Zhen Yuan Xu, Inequalities for sums of reciprocals of eigenvalues , J
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:46:05.843738Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0ec42ab7-71fc-40f1-91c0-a83c22cf36c2 · outbound
This paper cites 132, Springer-Verlag, Berlin–New York, 1976.
Spectral and Geometric Stability for the Reciprocal Sum of Neumann Eigenvalues 132, Springer-Verlag, Berlin–New York, 1976
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:46:05.831685Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 280f3fb5-66b3-4f73-9816-de8871a6bee3 · outbound
This paper cites an unresolved cited work.
Spectral and Geometric Stability for the Reciprocal Sum of Neumann Eigenvalues Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:46:05.820391Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation bef0f70e-6fd2-45db-a108-b38ce453131f · outbound
This paper cites an unresolved cited work.
Spectral and Geometric Stability for the Reciprocal Sum of Neumann Eigenvalues Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:46:05.808775Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation eeee207b-cd9b-45a5-827d-87894c3cb1c6 · outbound
This paper cites an unresolved cited work.
Spectral and Geometric Stability for the Reciprocal Sum of Neumann Eigenvalues Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:46:05.797145Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 928e3e7f-099c-49cb-96f3-be432b3b75fa · outbound
This paper cites Analyse Math.
Spectral and Geometric Stability for the Reciprocal Sum of Neumann Eigenvalues Analyse Math
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:46:05.785498Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 7a5ce1cc-7cc0-45c3-b892-0023419ca9be · outbound
This paper cites Rational Mech.
Spectral and Geometric Stability for the Reciprocal Sum of Neumann Eigenvalues Rational Mech
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:46:05.773565Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 1a72845c-c2c3-4d70-bbdd-e0f4d9f68305 · outbound
This paper cites Weinberger, An isoperimetric inequality for the N -dimensional free membrane problem , J.
Spectral and Geometric Stability for the Reciprocal Sum of Neumann Eigenvalues Weinberger, An isoperimetric inequality for the N -dimensional free membrane problem , J
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:46:05.762511Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation fdacd683-6766-4e08-a916-446f9fd76562 · outbound
This paper cites an unresolved cited work.
Spectral and Geometric Stability for the Reciprocal Sum of Neumann Eigenvalues Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:46:05.750874Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation bacd512a-ccc8-4a4a-8773-e8dbcff0aad7 · outbound
This paper cites 3, 853–878.
Spectral and Geometric Stability for the Reciprocal Sum of Neumann Eigenvalues 3, 853–878
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:46:05.739860Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Pith citing papers
No inbound Pith citation observations are available.