Paper Citation Record · LEDGER

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt

As of 8 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 3 inbound Pith citation observations for arXiv:2505.16804.

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

pith.paper-citation-record.v1
2505.16804 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:02:22.131167Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:19:43.546036Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T15:37:06.785901Z

Reference resolution

28 of 28 outbound references displayed

verified exact2
verified fuzzy16
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0f7b5a3c-c50a-44cd-98fd-4a0d2b0f9e90 · outbound

This paper cites Depinning in integer-restricted Gaussian Fields and BKT phases of two-component spin models.

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.

Observation dfba1352-2da1-4211-a034-f6641b307230 · outbound

This paper cites The Discrete Gaussian model, I. Renormalisation group flow at high temperature.

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt The Discrete Gaussian model, I. Renormalisation group flow at high temperature

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T15:02:19.662750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8bd5207-112d-424f-a915-a56a3641dd9c · outbound

This paper cites The Discrete Gaussian model, II. Infinite-volume scaling limit at high temperature.

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt The Discrete Gaussian model, II. Infinite-volume scaling limit at high temperature

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T15:02:19.751462Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f392995-3bb6-4c06-9272-1448f76d39b4 · outbound

This paper cites Decay of correlations in surface models.

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt Decay of correlations in surface models

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:02:25.898298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d6278b22-312b-4ee6-a386-86396a7852bb · outbound

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

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:02:22.834800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4f56c1fc-338f-4556-b37c-502c8892a6ed · outbound

This paper cites Delocalization of uniform graph homomorphisms from Z^2 to Z.

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt Delocalization of uniform graph homomorphisms from Z^2 to Z

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:02:25.717383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 719a7e4e-0649-44b9-9882-ece2ebd43265 · outbound

This paper cites Karrila, Ioan Manolescu, and Mendes Oulamara.

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt Karrila, Ioan Manolescu, and Mendes Oulamara

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:02:25.568116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c0bf66b2-c2a9-47ef-8545-2cc6e93b203b · outbound

This paper cites an unresolved cited work.

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:02:25.342929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 44291ae5-aaee-40ae-a5b7-790c8c6bb492 · outbound

This paper cites Nonexistence of one-and twodimensional G ibbs fields with noncompact group of continuous symmetries.

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt Nonexistence of one-and twodimensional G ibbs fields with noncompact group of continuous symmetries

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:02:25.174906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1a208413-003a-43db-ac8d-9105ec970844 · outbound

This paper cites an unresolved cited work.

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:02:24.873696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 66920936-a29e-4afd-ba49-7d808d326965 · outbound

This paper cites u rg Fr \.

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt u rg Fr \

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:02:24.760378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 03a087f9-32f5-4e62-895e-a8327548024b · outbound

This paper cites u rg Fr\.

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt u rg Fr\

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:02:24.549460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

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

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 f8cf2d41-fa56-4fc0-b171-d6b9989f10d7 · outbound

This paper cites Delocalisation and C ontinuity in 2 D : L oop O (2) , S ix- V ertex, and R andom- C luster M odels.

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt Delocalisation and C ontinuity in 2 D : L oop O (2) , S ix- V ertex, and R andom- C luster M odels

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:02:24.378516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f97b535d-fcb5-4951-99c4-e350d3511cb8 · outbound

This paper cites Uniform L ipschitz functions on the triangular lattice have logarithmic variations.

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt Uniform L ipschitz functions on the triangular lattice have logarithmic variations

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:02:24.161007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 64293caf-4f70-4efe-97b9-05e4b471d585 · outbound

This paper cites Statistical reconstruction of the GFF and KT transition.

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt Statistical reconstruction of the GFF and KT transition

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:02:24.032505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 35b7c4a8-8537-4e88-85d0-775c5f8ef097 · outbound

This paper cites 2D models of statistical physics with continuous symmetry: the case of singular interactions.

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt 2D models of statistical physics with continuous symmetry: the case of singular interactions

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:02:23.886185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 659885d4-da89-4b71-aea1-e3252459f6f4 · outbound

This paper cites The Fr\"ohlich-Spencer Proof of the Berezinskii-Kosterlitz-Thouless Transition.

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt The Fr\"ohlich-Spencer Proof of the Berezinskii-Kosterlitz-Thouless Transition

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T15:02:21.297575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 02c40b57-bd60-4046-afa7-addb4f5988ee · outbound

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

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt A dichotomy theory for the height functions of the BKT transition

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T15:02:21.379409Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ca78476-40f6-4154-88e3-ff50d47cfdf2 · outbound

This paper cites Height function delocalisation on cubic planar graphs.

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt Height function delocalisation on cubic planar graphs

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:02:23.746310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9f9b1ec7-668b-4fb2-87d5-22bf7e53d8bd · outbound

This paper cites Tilted Solid-On-Solid is liquid: scaling limit of SOS with a potential on a slope.

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt Tilted Solid-On-Solid is liquid: scaling limit of SOS with a potential on a slope

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T15:02:21.576328Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5871bd80-3589-4b7b-acd4-d97e793b7390 · outbound

This paper cites Delocalisation and absolute-value- FKG in the solid-on-solid model.

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt Delocalisation and absolute-value- FKG in the solid-on-solid model

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:02:23.583994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 991e8c9d-5341-44a8-a49d-aa2afddc799c · outbound

This paper cites Delocalization of two-dimensional random surfaces with hard-core constraints.

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt Delocalization of two-dimensional random surfaces with hard-core constraints

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:02:23.468430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9c8aeeeb-a77d-4eb4-aeec-c263e284eab5 · outbound

This paper cites van Beijeren.

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt van Beijeren

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:02:23.311438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation eb692276-35e8-4546-a88d-3b61828031cc · outbound

This paper cites An elementary proof of phase transition in the planar XY model.

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt An elementary proof of phase transition in the planar XY model

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:02:23.162143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a3d29761-0ed9-4f07-b68b-655a94f4acd5 · outbound

This paper cites On the duality between height functions and continuous spin models, 2023.

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt On the duality between height functions and continuous spin models, 2023

Reference 26

Resolution: verified exact; raw_fallback, observed 2026-08-07T15:02:22.546357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b09278a3-08a1-4cc5-a423-7ec1f1946966 · outbound

This paper cites Weeks, George H.

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt Weeks, George H

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:02:23.094824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2136c987-d920-4099-bcf3-273429343553 · outbound

This paper cites Maximum of the integer-valued Gaussian free field.

Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt Maximum of the integer-valued Gaussian free field

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-07T15:02:22.131167Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation de2a8b5b-efd3-465d-aa21-1276fb65daae · inbound

The limiting law of the Discrete Gaussian level lines cites this paper.

The limiting law of the Discrete Gaussian level lines Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-05T10:19:43.546036Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1fac37ae-a14e-4d73-af6a-448d3f8ad467 · 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 Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-05-11T23:01:21.995675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5f7c6ed9-223f-404f-a122-3893a9936853 · 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 Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-07-02T15:37:06.787287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.