Paper Citation Record · LEDGER

Invisibility of the integers for the discrete Gaussian chain via a Caffarelli-Silvestre extension of the discrete fractional Laplacian

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2312.04536.

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

pith.paper-citation-record.v1
2312.04536 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T17:29:42.092890Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T23:01:21.999775Z

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 3ddf335b-50d3-4cf1-8f51-120d001ca749 · inbound

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models cites this paper.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Invisibility of the integers for the discrete Gaussian chain via a Caffarelli-Silvestre extension of the discrete fractional Laplacian

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-11T17:29:42.092890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb77db70-b70f-4689-b81e-e02059f23b3b · inbound

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains cites this paper.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Invisibility of the integers for the discrete Gaussian chain via a Caffarelli-Silvestre extension of the discrete fractional Laplacian

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-11T11:14:46.395336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d872cfc6-43be-4df8-95cd-a1732807a2c6 · inbound

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt cites this paper.

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt Invisibility of the integers for the discrete Gaussian chain via a Caffarelli-Silvestre extension of the discrete fractional Laplacian

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T15:02:20.858690Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 451325d8-f0ca-483b-85de-54468fa45362 · inbound

The impact of disorder and non-convex interactions on delocalisation of height functions cites this paper.

The impact of disorder and non-convex interactions on delocalisation of height functions Invisibility of the integers for the discrete Gaussian chain via a Caffarelli-Silvestre extension of the discrete fractional Laplacian

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-11T23:01:22.003590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.