Paper Citation Record · LEDGER

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains

As of 17 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 2 inbound Pith citation observations for arXiv:2412.15782.

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

pith.paper-citation-record.v1
2412.15782 v2

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:14:46.437289Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T17:29:42.040788Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T15:02:22.754597Z

Reference resolution

35 of 35 outbound references displayed

verified exact2
verified fuzzy22
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d8ec5e63-4d67-4d07-95f1-6a222df3481a · outbound

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

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.

Observation 51b762c7-e416-4e9e-9186-2c9b3e942bc0 · outbound

This paper cites The scaling limit of the continuous solid-on-solid model.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains The scaling limit of the continuous solid-on-solid model

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T11:14:46.355282Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 466a51a0-2efe-492f-bec2-556df400e7a7 · outbound

This paper cites Bauerschmidt, J.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Bauerschmidt, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:46.744437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 93d17b08-d800-4689-9799-709945f85f44 · outbound

This paper cites Bauerschmidt, J.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Bauerschmidt, J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:46.736928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4ef4a4f4-057c-4457-ad1c-5b0cd751d7ec · outbound

This paper cites B¨ aumler.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains B¨ aumler

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:46.730197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c253ab8f-d257-4042-a75b-32bfd6048439 · outbound

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

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-11T11:14:46.560656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c9f6f620-9910-490b-8fe2-6f416f7b3e6f · outbound

This paper cites Biskup and R.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Biskup and R

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:46.722964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8dff6349-3043-4f75-8c6c-92892be901f4 · outbound

This paper cites Biskup and H.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Biskup and H

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:46.716305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a685e9f6-a7ef-452b-8358-75624ef8e3de · outbound

This paper cites Brydges and T.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Brydges and T

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:46.709477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e2e49464-071c-46a8-a7a0-8dfcaa962a64 · outbound

This paper cites Buchholz.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Buchholz

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:46.702454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation eca1e853-72b5-42f3-911a-22ed2810d490 · outbound

This paper cites Coquille, A.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Coquille, A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:46.696127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7d66b179-41ab-46bf-b73c-71679e1da2d4 · outbound

This paper cites Coquille, A.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Coquille, A

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:46.690256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 632d4987-c76f-4937-bd1c-ef14eb4fc3ca · outbound

This paper cites Cornu, H.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Cornu, H

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:46.683559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c06fc02e-ea8c-4f94-b57e-af520769c4d9 · outbound

This paper cites Fr¨ ohlich and Y.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Fr¨ ohlich and Y

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:46.676663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2984932f-8b64-4f2b-8003-14ac0fc621c3 · outbound

This paper cites Fr¨ ohlich and T.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Fr¨ ohlich and T

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:46.668599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b7f1e2bf-5bde-472a-b160-04952a177351 · outbound

This paper cites Fr¨ ohlich and T.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Fr¨ ohlich and T

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:46.661919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 25e74df3-3425-4ff9-96ef-5a699a509543 · outbound

This paper cites Fr¨ ohlich and B.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Fr¨ ohlich and B

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:46.654793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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

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

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 6352991f-5a04-42c5-b597-7ac18a4f882e · outbound

This paper cites Garban and A.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Garban and A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:46.647243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3c8e14e4-8f49-4673-a758-255973449c92 · outbound

This paper cites Garban and A.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Garban and A

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:46.639795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation fac686d7-5941-49be-aae1-d24322f24993 · outbound

This paper cites an unresolved cited work.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:14:46.633007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1009a3bf-bcd9-40c7-9129-494bcdd33178 · outbound

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

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains The Fr\"ohlich-Spencer Proof of the Berezinskii-Kosterlitz-Thouless Transition

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-11T11:14:46.405723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 88dcc8c1-2a7b-47cb-87dc-0663c88e581e · outbound

This paper cites Kjaer and H.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Kjaer and H

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:46.626785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 322df9f5-0750-4e69-a07c-2d62280b9412 · outbound

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

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains A dichotomy theory for the height functions of the BKT transition

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-11T11:14:46.411383Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df32644d-aa78-4f33-93c3-757a948fe786 · outbound

This paper cites an unresolved cited work.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:14:46.619516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6c1421a3-6ab1-47bf-b846-26bb4107c0fd · outbound

This paper cites Lammers and S.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Lammers and S

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:46.611720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6d875da9-2833-4f4a-891b-f37623db6a8e · outbound

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

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Tilted Solid-On-Solid is liquid: scaling limit of SOS with a potential on a slope

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-11T11:14:46.418861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cdbbfa6a-820c-458b-b271-92b5ad6f5021 · outbound

This paper cites Mikusi´ nski.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Mikusi´ nski

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:46.604084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f47525f8-e4af-459b-b020-157e6b18296c · outbound

This paper cites Central Limit Theorem for Multi-Point Functions of the 2D Discrete Gaussian Model at high temperature.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Central Limit Theorem for Multi-Point Functions of the 2D Discrete Gaussian Model at high temperature

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-11T11:14:46.527565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 182631ac-2c9f-4091-9f83-eebf5f99c46e · outbound

This paper cites Penson and K.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Penson and K

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:46.596057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ea91fe24-a221-45f8-a191-3607ae9578d8 · outbound

This paper cites Regev and N.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Regev and N

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:46.587028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation bc438bb5-90a4-4782-87dd-296df070f8b5 · outbound

This paper cites Localization of Random Surfaces with Monotone Potentials and an FKG-Gaussian Correlation Inequality.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Localization of Random Surfaces with Monotone Potentials and an FKG-Gaussian Correlation Inequality

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-11T11:14:46.431151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 216d7955-586f-4757-bf75-fc94c331c2d5 · outbound

This paper cites van Engelenburg and M.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains van Engelenburg and M

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:46.579569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 946a57b0-8d9e-4762-bae6-ad194067dd21 · outbound

This paper cites van Engelenburg and M.

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains van Engelenburg and M

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-11T11:14:46.435355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6f13fdd-64a6-4072-9fe5-dadea0272ac0 · outbound

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

Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Maximum of the integer-valued Gaussian free field

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-11T11:14:46.437289Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation fdea8bbd-8fd8-43ec-8232-3440cb7ffbf3 · 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 Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-11T17:29:42.040788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6278b22-312b-4ee6-a386-86396a7852bb · 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 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 2026-08-17T06:30:58.91139+00:00.