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Paper Citation Record · LEDGER

Lower Bound of Nodal Sets in Elliptic Homogenization and Functions with Strong Maximum Principle

As of 22 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 0 inbound Pith citation observations for arXiv:2512.12305.

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

pith.paper-citation-record.v1
2512.12305 v4

Coverage vector

measured 5 of 5 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T16:58:28.112120Z

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

5 of 5 outbound references displayed

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  • verified fuzzy0
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bd2062de-16d7-4bbe-a9ee-2522dc9dda8b · outbound

This paper cites 14 [Zhu19] Jiuyi Zhu.

Lower Bound of Nodal Sets in Elliptic Homogenization and Functions with Strong Maximum Principle 14 [Zhu19] Jiuyi Zhu

Reference 1982

Resolution
unresolved
no resolver link, observed 2026-08-03T16:58:28.112120Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:58:28.112120Z digest=sha256:acfb24da92aef051225e3f19563dc7af2b4b0b6bdbef187d5441ba4a24a27ef6

Observation 65725d5d-9e7a-4be9-b73e-772b50fe68f6 · outbound

This paper cites Volume Estimates for Singular sets and Critical Sets of Elliptic Equations with H\"older Coefficients.

Lower Bound of Nodal Sets in Elliptic Homogenization and Functions with Strong Maximum Principle Volume Estimates for Singular sets and Critical Sets of Elliptic Equations with H\"older Coefficients

Reference 2000

Resolution
unresolved
no resolver link, observed 2026-08-03T16:58:27.772290Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:58:27.772290Z digest=sha256:bf3ba57498b2b50baf9059cf7e3cb8608cfcc8dd65a2117d0429a29c5a645f3c

Observation 2f281431-6e09-4000-93a0-d31367c22757 · outbound

This paper cites The Nodal Sets of Solutions to Parabolic Equations.

Lower Bound of Nodal Sets in Elliptic Homogenization and Functions with Strong Maximum Principle The Nodal Sets of Solutions to Parabolic Equations

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-03T16:58:27.823645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:58:27.823645Z digest=sha256:2e1c039c3b6ee366192f1bd6566654babad9d636309a3b5f08eb8e2428e9e998

Observation 4c287734-7f09-44af-a1be-a99619051c16 · outbound

This paper cites Nadirashvili' Conjecture for Elliptic PDEs and its Applications.

Lower Bound of Nodal Sets in Elliptic Homogenization and Functions with Strong Maximum Principle Nadirashvili' Conjecture for Elliptic PDEs and its Applications

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-03T16:58:27.913317Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:58:27.913317Z digest=sha256:dda683f352edd325fb1c650a8413752b4ce6d1aabc23219b0760b4e9200f50bf

Observation 78fde75a-8567-4e29-9a4a-d0f43c3af8cd · outbound

This paper cites Geometry of nodal sets and multiplicity of eigenvalues.Current De- velopments in Mathematics, 1997(1):231–235,.

Lower Bound of Nodal Sets in Elliptic Homogenization and Functions with Strong Maximum Principle Geometry of nodal sets and multiplicity of eigenvalues.Current De- velopments in Mathematics, 1997(1):231–235,

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-03T16:58:28.038891Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:58:28.038891Z digest=sha256:959248f45cf3fd4fb18f019ce424fcce830fff8ed97e5578ea4a854629d35887

Pith citing papers

No inbound Pith citation observations are available.