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Paper Citation Record · LEDGER

Depinning in integer-restricted Gaussian Fields and BKT phases of two-component spin models

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2110.09498.

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

pith.paper-citation-record.v1
2110.09498 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T17:29:41.898963Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T15:37:06.780675Z

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 e44fd19f-75d9-4a65-8094-9e630776533e · inbound

A dichotomy theory for the height functions of the BKT transition cites this paper.

A dichotomy theory for the height functions of the BKT transition Depinning in integer-restricted Gaussian Fields and BKT phases of two-component spin models

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-05-24T11:09:22.547137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-24T11:07:03.557119Z digest=sha256:d971c356b8c4e7754f116c5ace4444a846cc02b61aaf9efad14526278165c2d2

Observation 11b3321a-96a9-4302-a39f-0b7dc9d3a195 · 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 Depinning in integer-restricted Gaussian Fields and BKT phases of two-component spin models

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-11T17:29:41.898963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T17:29:41.898963Z digest=sha256:6ec2982c8e667d69f1906a1da6fe31e5fe442261024a6a5cf203b99884512c42

Observation d8ec5e63-4d67-4d07-95f1-6a222df3481a · 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 Depinning in integer-restricted Gaussian Fields and BKT phases of two-component spin models

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-11T11:14:46.351709Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T11:14:46.351709Z digest=sha256:1419a260eb731f6ac321b64102689d35390f495e7b21201d6caee5922eba7a37

Observation 0f7b5a3c-c50a-44cd-98fd-4a0d2b0f9e90 · 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 Depinning in integer-restricted Gaussian Fields and BKT phases of two-component spin models

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-07T15:02:19.536337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:02:19.536337Z digest=sha256:30bad680af5d8f157c30865184ac119c9e7916a54f33e11ac8b9de4f64a9b0df

Observation daae20c1-e428-4bf4-9a75-ca3140af5ba5 · inbound

Parallel spin wave for the Villain model cites this paper.

Parallel spin wave for the Villain model Depinning in integer-restricted Gaussian Fields and BKT phases of two-component spin models

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-06T20:07:26.584842Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T20:07:26.584842Z digest=sha256:83bf8662c7123906e223d8dbf7121eead77bd9382f102e3abec0543930ea3bac

Observation 437ab56a-d64e-4980-b178-31c4da5b4dfe · inbound

Vector-valued Gaussian free field conditioned to avoid a ball: Entropic repulsion of the norm and Freezing of spins cites this paper.

Vector-valued Gaussian free field conditioned to avoid a ball: Entropic repulsion of the norm and Freezing of spins Depinning in integer-restricted Gaussian Fields and BKT phases of two-component spin models

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-05-21T22:00:41.380189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-21T21:59:46.835363Z digest=sha256:c04e74c96ac47d191ede234512a5cf1b8b9c8d9c116c81f07436c5a3a33eadd9

Observation 146751d6-bd96-45c4-a77c-de9a14cda6d8 · 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 Depinning in integer-restricted Gaussian Fields and BKT phases of two-component spin models

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-11T23:01:21.980255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-08T01:52:20.734309Z digest=sha256:07d5a8ed38621f9bc3f27e4392d880326de5a369b90eda2fbdafb5dd4c0da10e

Observation bd7358d4-b0e4-479f-b4e3-226f36b7e582 · inbound

The limit shape and emergence of the Discrete Gaussian level lines cites this paper.

The limit shape and emergence of the Discrete Gaussian level lines Depinning in integer-restricted Gaussian Fields and BKT phases of two-component spin models

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-07-02T15:37:06.782020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-27T23:42:59.301203Z digest=sha256:47eb3da336993c05040505a72ea1ced2d3b92dfa80c5c5ee7bfe733112745878

Observation f6aabd00-9fc9-4ddf-8e57-41edf4e025c4 · inbound

Phase transitions in generalized XY models cites this paper.

Phase transitions in generalized XY models Depinning in integer-restricted Gaussian Fields and BKT phases of two-component spin models

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-06T12:42:13.566436Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T12:42:13.566436Z digest=sha256:521d2f0ab457cd768d73e7643cad440a4f9485aa4ff78a44933cc1e7ee36da5d