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Paper Citation Record · LEDGER

Sharp decay rate for eigenfunctions of perturbed periodic Schr\"odinger operators

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2409.10387.

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

pith.paper-citation-record.v1
2409.10387 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:58:53.903675Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T12:17:30.129773Z

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 12284203-f40e-4e84-9e26-b72e226ef756 · inbound

Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ cites this paper.

Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$ Sharp decay rate for eigenfunctions of perturbed periodic Schr\"odinger operators

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-06T21:58:53.903675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:58:53.903675Z digest=sha256:4cd64f9aaa82a830d2b2ccea1283646ddc21fe310ae59716af893053bd0030fa

Observation 7abdcf65-d293-470f-8cb5-63ff23b538ed · inbound

Absence of flat bands for discrete periodic graph operators with generic potentials cites this paper.

Absence of flat bands for discrete periodic graph operators with generic potentials Sharp decay rate for eigenfunctions of perturbed periodic Schr\"odinger operators

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-08-05T12:17:30.258780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:17:29.795036Z digest=sha256:d391048c59ac9387c0754374dca6975177ddf62f394719f1ad1a4934e00e32d6