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Paper Citation Record · LEDGER

Parallel spin wave for the Villain model

As of 11 August 2026, this Paper Citation Record lists 69 of 69 outbound references and 0 inbound Pith citation observations for arXiv:2507.04098.

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

pith.paper-citation-record.v1
2507.04098 v1

Coverage vector

measured 69 of 69 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:07:28.726529Z

measured 69 of 69 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

69 of 69 outbound references displayed

  • verified exact2
  • verified fuzzy52
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9257cb33-bbe0-4e43-9361-8743b0a54e23 · outbound

This paper cites Quantitative hydrodynamic limits of the L angevin dynamics for gradient interface models.

Parallel spin wave for the Villain model Quantitative hydrodynamic limits of the L angevin dynamics for gradient interface models

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:31.004661Z

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.

source=arxiv_source observed=2026-08-06T20:07:26.478362Z digest=sha256:d941c24988c10e06a5899b087effb41ec3eca270a94ba281e313b8fe35d3899f

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

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

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=sha256:68b40009cfc726b0539817154cd7a97e83e1e62475c4d21d940126ad9c70fe3f

Observation 14f966aa-8c58-4afa-93c9-8c4245cb6072 · outbound

This paper cites Elliptic homogenization from qualitative to quantitative.

Parallel spin wave for the Villain model Elliptic homogenization from qualitative to quantitative

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-06T20:07:26.696738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T20:07:26.696738Z digest=sha256:144479899a8eeb7a24a741e0e976717b8c746f047223ee0cf3666fe9923c72c6

Observation 6e09f11f-8dc4-4750-8431-ffda481a4828 · outbound

This paper cites Armstrong, T.

Parallel spin wave for the Villain model Armstrong, T

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:30.975987Z

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.

source=arxiv_source observed=2026-08-06T20:07:26.731586Z digest=sha256:66299c0d7f66cec4ed8f278c2b07cc0ee29723c8eaa98de8499d430b9290cbe3

Observation 42517c81-0c00-4031-8561-0148ff97a286 · outbound

This paper cites The additive structure of elliptic homogenization.

Parallel spin wave for the Villain model The additive structure of elliptic homogenization

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:30.947268Z

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.

source=arxiv_source observed=2026-08-06T20:07:26.836375Z digest=sha256:385fb74b562bb938ce843f871b355e0ee0e3d50707ccdb0c8f50252c7b277945

Observation 2b9acb8a-d4a7-48fc-a3a7-1bfcdd05c612 · outbound

This paper cites Quantitative stochastic homogenization and large-scale regularity , volume 352.

Parallel spin wave for the Villain model Quantitative stochastic homogenization and large-scale regularity , volume 352

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:30.923469Z

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.

source=arxiv_source observed=2026-08-06T20:07:26.942466Z digest=sha256:7d5127e2f652c5851935562c3077642dbea07371ba1ea81a481316cced18e411

Observation 5f8b8272-1a8a-4c23-a862-cf32e77f64e4 · outbound

This paper cites an unresolved cited work.

Parallel spin wave for the Villain model Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:07:30.902013Z

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.

source=arxiv_source observed=2026-08-06T20:07:26.999208Z digest=sha256:a06dd145335f43fc9a45a01d8739969012fe1ea9d402a76480c18368128b0294

Observation 3c207daf-8c1a-4ea3-92f0-8b24bb5cc601 · outbound

This paper cites Armstrong and Charles K.

Parallel spin wave for the Villain model Armstrong and Charles K

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:30.871817Z

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.

source=arxiv_source observed=2026-08-06T20:07:27.104867Z digest=sha256:1e35062edb1a7a1201cc520fdc411b5aefa2489d5cce032f4e1e70c7f87f8c67

Observation 14a26b67-680a-403f-9fb7-df3a3cea93bf · outbound

This paper cites Local limit theorems for the random conductance model and applications to the Ginzburg--Landau interface model.

Parallel spin wave for the Villain model Local limit theorems for the random conductance model and applications to the Ginzburg--Landau interface model

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:30.845706Z

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.

source=arxiv_source observed=2026-08-06T20:07:27.202087Z digest=sha256:dc9968ed9a2275285d0c269b3d3bc2cd4d0c60f014e3a4e290cc0b6c33f8d014

Observation d82b1d1a-a66d-41ac-98af-7d6b085561bc · outbound

This paper cites C^2 regularity of the surface tension for the interface model.

Parallel spin wave for the Villain model C^2 regularity of the surface tension for the interface model

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:30.822388Z

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.

source=arxiv_source observed=2026-08-06T20:07:27.264035Z digest=sha256:9b6bf55f1ce76c8da72445162cec19c96814a6a257341f38bb579261a12de4c9

Observation 44628141-da6f-4cb6-9524-3048ad94ebc9 · outbound

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

Parallel spin wave for the Villain model The scaling limit of the continuous solid-on-solid model

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-06T20:07:27.364260Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T20:07:27.364260Z digest=sha256:d28a36093cc5d78b6dcde46833e6e1da6776cf955d62e71ab8109bb3cee453d6

Observation 914d89e4-25c9-409d-abaa-56da1929cf1c · outbound

This paper cites Bauerschmidt.

Parallel spin wave for the Villain model Bauerschmidt

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:30.795336Z

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.

source=arxiv_source observed=2026-08-06T20:07:27.466445Z digest=sha256:546b70c911d4adbc5643784a6d6da9481503b38ef23fbb2f583d102599b31175

Observation db5ff1e1-5434-4e8f-b3fc-f2ac0a6198cc · outbound

This paper cites Percolation transition for random forests in d 3.

Parallel spin wave for the Villain model Percolation transition for random forests in d 3

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:30.765672Z

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.

source=arxiv_source observed=2026-08-06T20:07:27.543005Z digest=sha256:dd5b63c0ef8c86e7ad4c9795317b9f756a6d5ed77f388e727986137f33133cee

Observation 5dc4ace0-586b-403b-918b-20c21d4bd2d2 · outbound

This paper cites Bricmont, J.

Parallel spin wave for the Villain model Bricmont, J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:30.738774Z

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.

source=arxiv_source observed=2026-08-06T20:07:27.650625Z digest=sha256:36d8eb732e79aa3a82a3048745ce57c354e82e9f4eff9eec5a976611248de4f5

Observation ee8a4a89-25e6-4112-90ff-8d9a67e98ace · outbound

This paper cites Lebowitz, Elliott H.

Parallel spin wave for the Villain model Lebowitz, Elliott H

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:30.710344Z

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.

source=arxiv_source observed=2026-08-06T20:07:27.729282Z digest=sha256:59680a7b40f4545591679902ec3d65f932d47be44f790e4932b222d3cc983bba

Observation 955992a4-1d7b-4c2c-a102-1597709f51ec · outbound

This paper cites Phase coexistence of gradient G ibbs states.

Parallel spin wave for the Villain model Phase coexistence of gradient G ibbs states

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:30.681593Z

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.

source=arxiv_source observed=2026-08-06T20:07:27.828320Z digest=sha256:c9d682a910a81373031741c6180c75955d8d03a64d4b11f564e98f75929846ae

Observation d596b6ba-45ea-4fc0-9503-dbf1c293b87c · outbound

This paper cites an unresolved cited work.

Parallel spin wave for the Villain model Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:07:30.652944Z

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.

source=arxiv_source observed=2026-08-06T20:07:27.930411Z digest=sha256:ededf4407e6a8dc6a939c36c413c9fb0b0cda0365845c65df956d892bb85ed42

Observation 68609528-b37b-4b7b-9515-bc1fa451297e · outbound

This paper cites Low temperature properties for correlation functions in classical N -vector spin models.

Parallel spin wave for the Villain model Low temperature properties for correlation functions in classical N -vector spin models

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:30.625244Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.062551Z digest=sha256:03072f122ea4df598d79c33f3ddb9f760848df2cf642a29b0c8aa55fa0b2bafa

Observation 0aa797d3-1e08-4be2-bd49-8cb03d11c72d · outbound

This paper cites The discrete G aussian model, I.

Parallel spin wave for the Villain model The discrete G aussian model, I

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:30.592541Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.109993Z digest=sha256:50a1e2a8c9dc98903d33688f56197f735080ce10d423e4f4ad59f224f5592b67

Observation fd17677c-870c-4c79-b4ff-b404252bd2bf · outbound

This paper cites The discrete G aussian model, II.

Parallel spin wave for the Villain model The discrete G aussian model, II

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:30.566231Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.222992Z digest=sha256:bd69a2a2db72d69028864c1bd9082f0ee4d00b5e97948c7e793fee6ce6044927

Observation b31f8826-a966-4ca5-88ef-aa2235bbc003 · outbound

This paper cites Scaling limit for a class of gradient fields with nonconvex potentials.

Parallel spin wave for the Villain model Scaling limit for a class of gradient fields with nonconvex potentials

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:30.546637Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.289209Z digest=sha256:9a81987902934a071d731682e2b86a8ced18f7589816d5fbf5ac3484706151a6

Observation 0c3adb83-0ec5-426e-ac6e-99dbe67b0863 · outbound

This paper cites Decay of covariances, uniqueness of ergodic component and scaling limit for a class of systems with non-convex potential.

Parallel spin wave for the Villain model Decay of covariances, uniqueness of ergodic component and scaling limit for a class of systems with non-convex potential

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:30.523472Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.358070Z digest=sha256:8b3d8e9fb12070beac9d7ee88aed43ec042e8125beafc047737490323f03bdd7

Observation e05fa39f-6728-45ab-9a78-36427f57a93b · outbound

This paper cites Strict convexity of the free energy for a class of non-convex gradient models.

Parallel spin wave for the Villain model Strict convexity of the free energy for a class of non-convex gradient models

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:30.501145Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.405296Z digest=sha256:a8f984be39ab2d4e2f551df49de15ba6de6b921bac6c715453e601dd0850857c

Observation 77305688-8278-4e54-9619-ed1f128ea2bb · outbound

This paper cites Validity of the spin-wave approximation for the free energy of the H eisenberg ferromagnet.

Parallel spin wave for the Villain model Validity of the spin-wave approximation for the free energy of the H eisenberg ferromagnet

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:30.472140Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.413479Z digest=sha256:8409d81d1b82e1b2bd0149a18cfea0a33447c36616425c243d989ce8f70ba96b

Observation 9d38f57d-5a82-44a1-930a-5f984d6de0bd · outbound

This paper cites Wilson loops in I sing lattice gauge theory.

Parallel spin wave for the Villain model Wilson loops in I sing lattice gauge theory

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:30.448143Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.419110Z digest=sha256:81babf29501fe5343c1151b69831e4745099e7163c6b6756f15879dff447252e

Observation 7746777a-ba7b-4f04-b4a4-4ce2b99e64c8 · outbound

This paper cites A strong central limit theorem for a class of random surfaces.

Parallel spin wave for the Villain model A strong central limit theorem for a class of random surfaces

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:30.415677Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.424892Z digest=sha256:a798b8bb201b12f8f1fc821a880a833708fceb3fcea75b5273305775663368c8

Observation 059e9fe0-597f-4194-9863-4175c7d898ee · outbound

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

Parallel spin wave for the Villain model Hydrodynamic limit for a class of degenerate convex $\nabla \varphi$-interface models

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-08-06T20:07:28.870631Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.430212Z digest=sha256:6825a3bbfcb8cea7e51b70d9f0880b191a0885f756a930536e8f083d6f0930ab

Observation 43aba182-11da-4a20-8c8e-39d89ebf8c92 · outbound

This paper cites Delmotte and J.-D.

Parallel spin wave for the Villain model Delmotte and J.-D

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:30.371198Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.436944Z digest=sha256:5824117206cf01688e28f16b29afb12ddf6c5a0963ff5f3b097ea056189a2adf

Observation 00efe568-adbf-402a-a618-b290679ef13b · outbound

This paper cites Entropic repulsion for massless fields.

Parallel spin wave for the Villain model Entropic repulsion for massless fields

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:30.335814Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.445789Z digest=sha256:9dd762814a1e05c91297ea67aaa1688d34154469d71a2d20d3bfb2f222814324

Observation a87187c8-b962-4b79-be6b-8f1cc8b092e4 · outbound

This paper cites Large deviations and concentration properties for interface models.

Parallel spin wave for the Villain model Large deviations and concentration properties for interface models

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:30.306602Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.453320Z digest=sha256:6312eb56d6552f1534e7c4c97cd7ebf2eb76caf156a4f60e59ff6306d4df86c3

Observation bf5c419a-2b2e-4db9-a696-c505e4ae1236 · outbound

This paper cites Dyson, Elliott H.

Parallel spin wave for the Villain model Dyson, Elliott H

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:30.259556Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.460163Z digest=sha256:338da28c58c88de30d0b856b37f93d71e33060cfd4fd0aec462666e67f72e9b4

Observation 2f29cad9-b389-4560-ae26-7b465fb8cd23 · outbound

This paper cites an unresolved cited work.

Parallel spin wave for the Villain model Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:07:30.233161Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.466357Z digest=sha256:cd514f64f261e58940fb70023ef38fa4482e678f20e7989afac27b037d228dc9

Observation 7ac96881-8bb1-4061-b4a7-e17102ad0e31 · outbound

This paper cites A Ray--Knight theorem for interface models and scaling limits.

Parallel spin wave for the Villain model A Ray--Knight theorem for interface models and scaling limits

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:30.197291Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.471207Z digest=sha256:e3bbba4bb4fb31e01d9369077b738dc4f760b7ce6731dfbe89cd83a483f520d2

Observation c4651cca-6f0d-440e-b81b-ba65fa6eed69 · outbound

This paper cites Massless phases for the V illain model in d 3.

Parallel spin wave for the Villain model Massless phases for the V illain model in d 3

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:29.989103Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.477099Z digest=sha256:6c468b307ea321b193ad45b36b3134925d14da5d59f5e34d44fd71af787f2d49

Observation cf11964a-6810-4345-b737-fba7d50bfb8d · outbound

This paper cites an unresolved cited work.

Parallel spin wave for the Villain model Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:07:29.961622Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.483704Z digest=sha256:5a89af4e7e3e993b6f5ed40a3d2be22d9e7083f67555b17f630a9652adf0e8fd

Observation 9bc15b2e-6314-4f8b-910d-5d68bf4f3b6c · outbound

This paper cites Kosterlitz- T houless transition line for the two dimensional C oulomb gas.

Parallel spin wave for the Villain model Kosterlitz- T houless transition line for the two dimensional C oulomb gas

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:29.933508Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.493441Z digest=sha256:d0bd3656957b0c592c47b1d44591d9ab21a2029b7502f7b459d91916a9321102

Observation 8e79dec3-8f37-4c90-9182-545305d5e411 · outbound

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

Parallel spin wave for the Villain model Critical exponents of the two dimensional Coulomb gas at the Berezinskii-Kosterlitz-Thouless transition

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-08-06T20:07:28.822488Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.507072Z digest=sha256:de46251e7361463cf669edc6a8a4d70687cd89197c161b12555eb5bf10bcad95

Observation b26cc460-ed19-4609-bebb-3a1663507ae4 · outbound

This paper cites u rg Fr\.

Parallel spin wave for the Villain model u rg Fr\

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:29.901434Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.514232Z digest=sha256:67e39516adaf72c89a30c5a284340aee9c747142f44cd0687d8086cd2e0ffb28

Observation 22abdf30-157c-4a3f-b61f-d13767b180d6 · outbound

This paper cites u rg Fr\.

Parallel spin wave for the Villain model u rg Fr\

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:29.872423Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.519758Z digest=sha256:0196a2c166e12b4a573220e9744e239b715efbc11b2c4da1bcabf24e88edb241

Observation 203120f3-61df-4749-badd-5c563d5017cb · outbound

This paper cites Funaki and H.

Parallel spin wave for the Villain model Funaki and H

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:29.846566Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.527292Z digest=sha256:5bed2f9d9330ceb56604c785d1b24918e69add594ba07aca08c4f7749e86338a

Observation 204b8d53-08e6-4f9c-a8e3-723dba455e0a · outbound

This paper cites Fr\" o hlich, B.

Parallel spin wave for the Villain model Fr\" o hlich, B

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:29.819793Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.535143Z digest=sha256:27cd7b99904d4f1e7d82ac6b6bec240325738a20321d433954e46f39012181d7

Observation 7739313c-1a1c-450b-a745-f4fd9ab808ba · outbound

This paper cites Stochastic interface models.

Parallel spin wave for the Villain model Stochastic interface models

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:29.794682Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.542743Z digest=sha256:cf89ffb72adb4d6b25bbbc8f2d8bdc679adf64960cb48d051d6619d9e04185d9

Observation 0451842c-7218-4340-a6b3-a1b97ce38b06 · outbound

This paper cites an unresolved cited work.

Parallel spin wave for the Villain model Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:07:29.771635Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.547828Z digest=sha256:d561229f8428c0a555389d34841601c7d05ce6fdd202516de0b18fbf571a8606

Observation 91a0c10a-6a63-4101-a7a4-dbccd6fee8bf · outbound

This paper cites Gloria, S.

Parallel spin wave for the Villain model Gloria, S

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:29.749117Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.553647Z digest=sha256:2a91bf65a06b93e46e8086dbcc534c81b4fa3e18de7792e581dfec398da73809

Observation f672c308-a22c-4398-9ce0-a3d0d21a5c01 · outbound

This paper cites Gloria and F.

Parallel spin wave for the Villain model Gloria and F

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-06T20:07:28.558610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T20:07:28.558610Z digest=sha256:9c5ebe3da13958b5445f8d54398e7d214634b4f2f0838ecb946a7f0e33678563

Observation 729ffa3c-c7ee-4e49-9ea3-f4a4c2a502b7 · outbound

This paper cites Gloria and F.

Parallel spin wave for the Villain model Gloria and F

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-06T20:07:28.565149Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T20:07:28.565149Z digest=sha256:7e91ec0fec8bcf03a235d71e9fef1527d140e16852c0ced0d9b1d87c1197cac6

Observation 55204ccc-7595-45cd-b248-60119cdeb3b6 · outbound

This paper cites The corrector in stochastic homogenization: optimal rates, stochastic integrability, and fluctuations.

Parallel spin wave for the Villain model The corrector in stochastic homogenization: optimal rates, stochastic integrability, and fluctuations

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-06T20:07:28.570499Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T20:07:28.570499Z digest=sha256:b39648bb1cc2d521e4012718aec00d504c295d727a3441792db13fa57f82d55f

Observation 78c1d0ec-77be-41a8-bf49-ac0a00e12726 · outbound

This paper cites Quantitative results on the corrector equation in stochastic homogenization.

Parallel spin wave for the Villain model Quantitative results on the corrector equation in stochastic homogenization

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:29.670908Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.576745Z digest=sha256:30b3e538a135d994011e3b6cb61faeea0b4921bfcc2369d4c744afa90f689e9d

Observation 93ff1981-a434-4f48-8fa6-edb01817e5e7 · outbound

This paper cites Low-temperature asymptotic expansion for classical O ( N ) vector models.

Parallel spin wave for the Villain model Low-temperature asymptotic expansion for classical O ( N ) vector models

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:29.640474Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.584769Z digest=sha256:cf788896229b41ca0d0a2d1f431ec953f48d2c4657ce040856aa32d9e872a69c

Observation d848baa2-8e40-4271-8040-bf7cfb78553b · outbound

This paper cites Goldstone.

Parallel spin wave for the Villain model Goldstone

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:29.605951Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.595479Z digest=sha256:b93772cd6c82aea99c3514d9875b60d42a98bb898348f06c0be615a2683caa89

Observation ed3cf72d-63f4-478d-a43b-959f65200138 · outbound

This paper cites Equilibrium fluctuations for interface model.

Parallel spin wave for the Villain model Equilibrium fluctuations for interface model

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:29.580526Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.604056Z digest=sha256:155d9d567b4f082884708ce1f7b23f7905215a26288f74c223c7e70daea9ba26

Observation 6bca7e5f-2c22-4483-9d34-01e19a383e76 · outbound

This paper cites Improved spin-wave estimate for W ilson loops in U(1) lattice gauge theory.

Parallel spin wave for the Villain model Improved spin-wave estimate for W ilson loops in U(1) lattice gauge theory

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:29.548973Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.614757Z digest=sha256:9d8f8dfe58cab820d83e6fb81154f7b7b014cd5309ca75e04e7f198f55be5467

Observation 2c187026-b6c9-44d3-ac39-a657ae437f7f · outbound

This paper cites Trudinger.

Parallel spin wave for the Villain model Trudinger

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-06T20:07:28.620085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T20:07:28.620085Z digest=sha256:136698a084b16bd815dea6276ac9f33eb4cb72bc33ed4395226bc97df33f94ed

Observation 910611e3-7b09-4682-8f3d-e4b40b176430 · outbound

This paper cites an unresolved cited work.

Parallel spin wave for the Villain model Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:07:29.491114Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.625992Z digest=sha256:40ddca11771a5c1beeeec4e1999dccd9db398ef9f1c259b40e8e05a50c80196b

Observation 1fb00741-91e2-489d-8d67-e37281df6eaf · outbound

This paper cites On the correlation for K ac-like models in the convex case.

Parallel spin wave for the Villain model On the correlation for K ac-like models in the convex case

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:29.443449Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.631283Z digest=sha256:75e728e33984392ddbc4e892c495920741e92556135a58b5619721abb6e568bb

Observation 28542f5c-a5ac-4709-9d3c-37509481ad75 · outbound

This paper cites Spontaneous symmetry breakdown in the abelian H iggs model.

Parallel spin wave for the Villain model Spontaneous symmetry breakdown in the abelian H iggs model

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:29.420501Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.638030Z digest=sha256:c007e3879ebe2ef6df45118974ec656c59d53a2e3c8541601c74c4978b8d0317

Observation 3a10c753-e236-44c0-b5eb-29aa478f9ba9 · outbound

This paper cites Ordering, metastability and phase transitions in two-dimensional systems.

Parallel spin wave for the Villain model Ordering, metastability and phase transitions in two-dimensional systems

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:29.383934Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.643690Z digest=sha256:458310748d6616d27400565f780baf8dcac3c3cc965cfd3dc937562839f05a97

Observation 11954102-da04-45f3-8318-5fad3c00e84c · outbound

This paper cites Random walk: a modern introduction , volume 123.

Parallel spin wave for the Villain model Random walk: a modern introduction , volume 123

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-06T20:07:28.649947Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T20:07:28.649947Z digest=sha256:42daf31777ad06dec86e9ac7e5ae988808ab49635c605abff16a028818607299

Observation d5ba89a2-010c-45f2-aba5-03ec7ac0ea0d · outbound

This paper cites Fluctuations for the G inzburg- L andau interface model on a bounded domain.

Parallel spin wave for the Villain model Fluctuations for the G inzburg- L andau interface model on a bounded domain

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:29.316099Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.656532Z digest=sha256:a500b28011d651b06be1d07c0e0f6d60e67779d2fe6b4802736874ae6eb1c6b4

Observation 531aedd9-df51-4f40-a23b-9cf295fbaaef · outbound

This paper cites Absence of ferromagnetism or antiferromagnetism in one-or two-dimensional isotropic H eisenberg models.

Parallel spin wave for the Villain model Absence of ferromagnetism or antiferromagnetism in one-or two-dimensional isotropic H eisenberg models

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:29.280096Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.663835Z digest=sha256:111c55a6d4718fa8582630a3ed5bb16227f7e238ad909f5e3d4310233e684985

Observation 73f87b41-a39d-42d6-88a3-8f3a3f90ef7d · outbound

This paper cites Naddaf and T.

Parallel spin wave for the Villain model Naddaf and T

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-06T20:07:28.671897Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T20:07:28.671897Z digest=sha256:08ae8d39075310224faa3a75c8231501ec24a074083a91618c29e6598959a000

Observation 1fe65c02-d195-4131-85bc-a046c36a7b5e · outbound

This paper cites Newman and Wei Wu.

Parallel spin wave for the Villain model Newman and Wei Wu

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:29.221830Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.677330Z digest=sha256:2caef2c4c481f459064e0f5762f1b043f598f575fd68f53d1498b53a378c77f4

Observation 3f07d64d-db61-4d47-8615-1af48c73d031 · outbound

This paper cites Sheffield.

Parallel spin wave for the Villain model Sheffield

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:29.190360Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.683850Z digest=sha256:37861297830a5bc90da27e4505b408406039e1c437f926b7e8e91a65a7d75249

Observation 4dca1d17-4058-4505-a605-3b422dc8e853 · outbound

This paper cites Sj \"o strand.

Parallel spin wave for the Villain model Sj \"o strand

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:29.162491Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.689512Z digest=sha256:620836090a46109914c9250f1785335f751c87c4cf0912f87164d46d9aaffc98

Observation c28aae12-4e0d-4510-a1e3-3b827988f646 · outbound

This paper cites Euclidean proof of the G oldstone T heorem.

Parallel spin wave for the Villain model Euclidean proof of the G oldstone T heorem

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:29.128652Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.696984Z digest=sha256:379ddbe660b59258a08edc94d99060ee8e7bb7fbfffe552fd705e6887a711973

Observation 10e15010-1b7b-485c-8ec5-2eb1ba8d2d34 · outbound

This paper cites Symanzik.

Parallel spin wave for the Villain model Symanzik

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:29.100766Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.702986Z digest=sha256:77f2eca602cd873d3a6b6127ea697983cbbefeaffce14208eace13ac9d0d2ff1

Observation 4967c4b5-1863-4ca4-83ba-daee2ed75e2b · outbound

This paper cites Localization and delocalization of random interfaces.

Parallel spin wave for the Villain model Localization and delocalization of random interfaces

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:29.060595Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.711899Z digest=sha256:11fc0a6cd63d4241b7c4d557bf9f688ca3aecf4085731fbc81b1e362e26c8277

Observation f2111c16-a852-49ae-8e49-f1c195eb0422 · outbound

This paper cites Theory of one-and two-dimensional magnets with an easy magnetization plane.

Parallel spin wave for the Villain model Theory of one-and two-dimensional magnets with an easy magnetization plane

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:29.023021Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.719228Z digest=sha256:e6726fe97b524cbe2540733ad9bcd9b00e97db2666575ec811dc4ffb8ab120fc

Observation ee62d1a4-6784-4f51-bbfa-b8dbc75ad672 · outbound

This paper cites Local central limit theorem for gradient field models.

Parallel spin wave for the Villain model Local central limit theorem for gradient field models

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:07:28.992629Z

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.

source=arxiv_source observed=2026-08-06T20:07:28.726529Z digest=sha256:ebd8308503e627bd27045c68327af5abd9f3a7c2de79c7da06e1f6eee5a1a8c6

Pith citing papers

No inbound Pith citation observations are available.