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Paper Citation Record · LEDGER

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models

As of 12 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 1 inbound Pith citation observation for arXiv:2412.08964.

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

pith.paper-citation-record.v1
2412.08964 v2

Coverage vector

measured 62 of 62 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T17:29:42.339631Z

measured 63 of 63 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:14:46.367409Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T11:14:46.557929Z

Reference resolution

62 of 62 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9c93b897-441f-48aa-9fc4-6c4b80630895 · outbound

This paper cites Strict Convexity of the Surface Tension for Non-convex Potentials.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Strict Convexity of the Surface Tension for Non-convex Potentials

Reference 1

Resolution
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Observation db3a286b-60ef-4f84-a6a2-095434c7c1fb · outbound

This paper cites Cauchy-Born Rule from Microscopic Models with Non-convex Potentials.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Cauchy-Born Rule from Microscopic Models with Non-convex Potentials

Reference 2

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local_arxiv, observed 2026-08-11T17:29:42.671429Z

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Observation bac27b54-2c8b-455e-8554-aece6a3c2076 · outbound

This paper cites A ¨ıd´ekon (2013).

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models A ¨ıd´ekon (2013)

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 11b3321a-96a9-4302-a39f-0b7dc9d3a195 · outbound

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

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

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Source-reported events for the cited work

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Observation 5da83aad-8d40-4436-9311-4bac533a319b · outbound

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

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models The scaling limit of the continuous solid-on-solid model

Reference 5

Resolution
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Observation 8b92022d-69f5-4fc9-a526-2163024f022c · outbound

This paper cites Bauerschmidt and T.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Bauerschmidt and T

Reference 6

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 33f30d54-3e4a-48bc-897e-895a2f980329 · outbound

This paper cites Bauerschmidt, J.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Bauerschmidt, J

Reference 7

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Observation 97ef566b-b00c-4817-a049-7afa59207db6 · outbound

This paper cites Bauerschmidt, J.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Bauerschmidt, J

Reference 8

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 8ed20750-5642-4315-a452-8122da573e02 · outbound

This paper cites B ¨aumler.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models B ¨aumler

Reference 9

Resolution
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 953ab1c7-8c09-437e-8286-f0e688a30d71 · outbound

This paper cites Benfatto, G.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Benfatto, G

Reference 10

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Observation 31de0db4-37fc-4721-9713-f9926818091f · outbound

This paper cites Benfatto and J.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Benfatto and J

Reference 11

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Observation 2505743e-70b8-4879-85dc-c313c37a8601 · outbound

This paper cites Berezinskii (1971).

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Berezinskii (1971)

Reference 12

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 531d06dd-37fa-4e64-8ae8-c21fb31aaf73 · outbound

This paper cites Biskup (2011).

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Biskup (2011)

Reference 13

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation d54acc17-b7fa-4aa9-9a03-d540b595602d · outbound

This paper cites Biskup (2020).

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Biskup (2020)

Reference 14

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 5c23cd1b-73c6-45d9-a1c0-501d37695091 · outbound

This paper cites A limit law for the maximum of subcritical DG-model on a hierarchical lattice.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models A limit law for the maximum of subcritical DG-model on a hierarchical lattice

Reference 15

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Unavailable: canonical work link unavailable.

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Observation d8041258-c74b-48fa-a7fd-0fab88b1150a · outbound

This paper cites Biskup and O.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Biskup and O

Reference 16

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Observation c37f445f-41f6-4efd-a842-b4eb80a72b2b · outbound

This paper cites Biskup and O.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Biskup and O

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation f43f38fa-0b1d-4b93-91da-b3a5c25a4218 · outbound

This paper cites Biskup and O.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Biskup and O

Reference 18

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation b7f48c4d-efa7-4063-9a37-599b0f3b08f1 · outbound

This paper cites Biskup and H.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Biskup and H

Reference 19

Resolution
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation a92b7c96-3e42-43aa-ad81-d9b583a8c8b8 · outbound

This paper cites Bleher and Ya.G.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Bleher and Ya.G

Reference 20

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 990c2452-d1ee-4f94-989c-8acad3e56edc · outbound

This paper cites Bleher and Ya.G.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Bleher and Ya.G

Reference 21

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 59b7b92f-9fc3-49cf-8556-49cb579a4f50 · outbound

This paper cites de Almeida Braga (1989).

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models de Almeida Braga (1989)

Reference 22

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Observation 295bff7a-df86-48d1-a1f9-b203d27bd90e · outbound

This paper cites Bramson, J.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Bramson, J

Reference 23

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation cba593a1-2b6b-4a65-8b93-512cbfe4183d · outbound

This paper cites Bricmont, J.R.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Bricmont, J.R

Reference 24

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 2aac547b-faff-4b20-b0c6-dbc7ad36ef67 · outbound

This paper cites Brydges (2009).

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Brydges (2009)

Reference 25

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 9d56ccbf-f016-439b-94e3-3c31d7a35397 · outbound

This paper cites Brydges and T.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Brydges and T

Reference 26

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation fdea8bbd-8fd8-43ec-8232-3440cb7ffbf3 · outbound

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

Reference 27

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation d223218c-d73d-4354-bc23-1c76f8c31c4d · outbound

This paper cites Cotar, J.-D.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Cotar, J.-D

Reference 28

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 7185faf3-f534-4734-a1ee-eb30c330aedf · outbound

This paper cites Upper bounds on the fluctuations for a class of degenerate convex $\nabla \phi$-interface models.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Upper bounds on the fluctuations for a class of degenerate convex $\nabla \phi$-interface models

Reference 29

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 2d4b2205-5d04-499d-9426-ffbc017827cb · outbound

This paper cites Hydrodynamic limit for a class of degenerate convex $\nabla \varphi$-interface models.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Hydrodynamic limit for a class of degenerate convex $\nabla \varphi$-interface models

Reference 30

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation e90f1d4c-0e8f-4e65-bdb5-afaef2da1bfc · outbound

This paper cites Dimock and T.R.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Dimock and T.R

Reference 31

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 35ee0678-5b18-40df-81ce-dedfad93b4d6 · outbound

This paper cites Dobrushin (1972).

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Dobrushin (1972)

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:29:42.991597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 99fdc66f-db7d-499d-a7f0-c866a729d0ca · outbound

This paper cites Dyson (1969).

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Dyson (1969)

Reference 33

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 4bf939fa-c55c-4a90-ab5f-115adf2709c5 · outbound

This paper cites Falco (2012).

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Falco (2012)

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:29:42.967059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation b412d4a8-60e4-4e7c-8253-03b554ceba33 · outbound

This paper cites Critical exponents of the two dimensional Coulomb gas at the Berezinskii-Kosterlitz-Thouless transition.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Critical exponents of the two dimensional Coulomb gas at the Berezinskii-Kosterlitz-Thouless transition

Reference 35

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 727d631a-7168-4113-ae52-9164d2aa87a1 · outbound

This paper cites Fr ¨ohlich and Y.M.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Fr ¨ohlich and Y.M

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:29:42.957044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation c72bafce-b4ad-497e-b9e4-033314f9e4ca · outbound

This paper cites Fr ¨ohlich and T.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Fr ¨ohlich and T

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:29:42.947708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T17:29:42.080371Z digest=sha256:408a9cdf2190256715079f5524dd45bf2f7fa4b4c4cddf21bfb26e774749d2ff

Observation c5c91951-6631-4c7b-b725-bc36b39278de · outbound

This paper cites Fr ¨ohlich and B.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Fr ¨ohlich and B

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:29:42.935758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T17:29:42.084595Z digest=sha256:a990bb21d547e51b7af32bcb77cdab3ba535dd1c4872c21300e13b18f10c73dc

Observation a871d223-6f5d-4677-880d-13caa6e22720 · outbound

This paper cites an unresolved cited work.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-11T17:29:42.923030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T17:29:42.089043Z digest=sha256:a2b611d57b4635df07abc02400f3609a6fceb336dec9035559e4f3c4197d0960

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

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

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.

source=pdf_text observed=2026-08-11T17:29:42.092890Z digest=sha256:3ce62d663968198b6d1c74789b6075d109ee6d9e2b69ef7e8880fc6cc77a8e2a

Observation 89d64896-45ab-4c32-8680-4193e54db7d4 · outbound

This paper cites Garban and A.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Garban and A

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:29:42.912229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T17:29:42.097082Z digest=sha256:e471c3ba55bb0ce18abcd33a2ed64367371488d81bbd74f38fba61d6d72e2367

Observation bc2b5df3-f002-4fae-b38f-0239f07ddce7 · outbound

This paper cites Gawe ¸dzki and A.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Gawe ¸dzki and A

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:29:42.901469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T17:29:42.100519Z digest=sha256:ac25500ee7661ddeacef6a3ac9f6de212875568f70772080a41364784e9ffaff

Observation d20f5455-a5fa-4c97-a082-b63420791b26 · outbound

This paper cites Giacomin, S.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Giacomin, S

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:29:42.887778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T17:29:42.104495Z digest=sha256:42d54e7d424f99040d533aa958b4b96afd30764e5c5f7eba5b102ab2b8bfc4db

Observation 1c75e17a-741b-437e-b0b4-77c0a7e465b0 · outbound

This paper cites Guidi and D.H.U.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Guidi and D.H.U

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:29:42.877847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T17:29:42.109767Z digest=sha256:8d283f0e2c87c40679cf935d8a4599c16442163b65882152751b34d70cbcff08

Observation 1a631b6b-551b-45c7-add1-21087e816bca · outbound

This paper cites an unresolved cited work.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-11T17:29:42.867340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T17:29:42.114297Z digest=sha256:af633bebd13fcdd73c644799ad7f0f9abfef74f8e2e6fb24b0c41496210868a4

Observation 968f6667-c4ab-4da3-9b74-55de5fff6e04 · outbound

This paper cites Critical cluster volumes in hierarchical percolation.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Critical cluster volumes in hierarchical percolation

Reference 46

Resolution
verified exact
local_arxiv, observed 2026-08-11T17:29:42.490781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T17:29:42.118943Z digest=sha256:f04c8db5c5cae096b83761c7b42531830780a7c019b5024cb924d4bdb700f147

Observation a4f64db4-3258-484f-bd18-fc1882b96339 · outbound

This paper cites Hutchcroft (2024).

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Hutchcroft (2024)

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:29:42.857509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T17:29:42.124431Z digest=sha256:eacf3476c708402f221ba78151528c2fd5a0e26a08293f5af4dfea993a2be6d0

Observation 2a65d908-5934-4767-89ec-90c88d55b3b5 · outbound

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

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models The Fr\"ohlich-Spencer Proof of the Berezinskii-Kosterlitz-Thouless Transition

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-11T17:29:42.130057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T17:29:42.130057Z digest=sha256:fb44570dabc54642dbd5f852c962e40a9957a688d1e6227cb16da98512e3b67b

Observation 99096e9b-72d3-40f2-a3fa-49ee55dae1cc · outbound

This paper cites Kjaer and H.J.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Kjaer and H.J

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:29:42.845827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T17:29:42.134737Z digest=sha256:445995376d33c8963d83cfb0276f20f433ad2c0ca1e4f50593afb99e54213700

Observation 9168d60e-9d77-4fdc-860d-50788764880d · outbound

This paper cites Kosterlitz and D.J.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Kosterlitz and D.J

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:29:42.833455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T17:29:42.139102Z digest=sha256:702a3404a2be2ceb0d2f8e7fc25b3bd9588d2ada0ebeb69de83793ed34520b8e

Observation 9873b699-d2af-49ba-a888-3c41863a701e · outbound

This paper cites Lammers (2022).

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Lammers (2022)

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:29:42.819812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T17:29:42.144359Z digest=sha256:aaaf9c7e80fbf47e775aae2ca06d0093d83cbfd0b3bc29e77bbf606ef8530042

Observation d4a4863a-a00b-4436-9511-7e4897b8d8ba · outbound

This paper cites Lubetzky, F.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Lubetzky, F

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:29:42.808416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T17:29:42.148802Z digest=sha256:5aeca9b9c4d0c371a2a6c11c2bca29f74deb80579fc9c0e51782cf8622fe2bae

Observation bad8416b-f79e-46d5-9352-f43adb9d38b2 · outbound

This paper cites Madaule (2017).

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Madaule (2017)

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:29:42.796526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T17:29:42.152914Z digest=sha256:46f845f68847426943a38ae19773ad3e3ef5f7f301af286b9ad77dbc16a190d0

Observation a93a4afd-188a-44aa-a523-662e37698859 · outbound

This paper cites Marchetti (1992).

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Marchetti (1992)

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:29:42.785414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T17:29:42.157882Z digest=sha256:3ff7b9774ada95250961e3b67426f0c7aec46a3f5cbb51ef6205c40a746df0d0

Observation ab205384-e67b-47ff-98c8-bd82ccbb5375 · outbound

This paper cites Marchetti and A.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Marchetti and A

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:29:42.773089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T17:29:42.162985Z digest=sha256:735000f5a32ecc568a1829c371af222b14cdc78495cf5ae94af2f615ca9d42ca

Observation d29a094e-beee-498f-82e8-afdd8a9f0b34 · outbound

This paper cites Marchetti and J.F.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Marchetti and J.F

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:29:42.762637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T17:29:42.173771Z digest=sha256:0f5e5997be285d2a5a10896f724751f1a796f379ca4cba0e3c06c488d118dd57

Observation 14c9629e-7ba2-4372-894f-ee80ac1fb533 · outbound

This paper cites Naddaf and T.

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Naddaf and T

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:29:42.749354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T17:29:42.214211Z digest=sha256:b7c0eb204e2ecffc39339085b19174e3fa8516023af78b25305cd5e2513de371

Observation 115a3566-1376-4f6a-a9f7-2de4f4c76b63 · outbound

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

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Central Limit Theorem for Multi-Point Functions of the 2D Discrete Gaussian Model at high temperature

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-11T17:29:42.254046Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T17:29:42.254046Z digest=sha256:698db084c0521e783460357fd56ae12801fe88f30f47fbf89711b2cf7a2b66f4

Observation 87d0cf14-89db-4874-b78d-0321f9b9b55c · outbound

This paper cites Sheffield (2005).

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Sheffield (2005)

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:29:42.735908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T17:29:42.303431Z digest=sha256:ee3c372debb4a558b90cb24b828385a50953128127f7ee27adce25bcf3aab001

Observation d11aacca-15ab-4d74-b53d-e1aecddae59f · outbound

This paper cites Siegert (1960).

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Siegert (1960)

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:29:42.725143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T17:29:42.330491Z digest=sha256:4962619467b0031726a3353a773d7a693ae7ff74ab5e0ee512e91d33dacc7330

Observation 26f0a12e-20c5-4dfa-97da-c79ac2e38714 · outbound

This paper cites Velenik (2006).

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Velenik (2006)

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:29:42.713959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T17:29:42.335375Z digest=sha256:96819e0bb74890cc298f0de766375499258ca325061aa8303fb0bad748f2d3ab

Observation d1f832f2-1b20-4c4b-a70e-de8d04c37490 · outbound

This paper cites Ye (2019).

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Ye (2019)

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:29:42.701440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T17:29:42.339631Z digest=sha256:1dd253c6a9fe708c8298b81aae3cb887611c3b60185ccadad61274c5f6eb490e

Pith citing papers

Observation c253ab8f-d257-4042-a75b-32bfd6048439 · 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 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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:14:46.367409Z digest=sha256:d6cbc581a719c3b73d61f1464d3ebd2d7ecb967b234461336a980a644c095f3f