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Paper Citation Record · LEDGER

Parallel spin wave for the Villain model

As of 9 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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:26.478362Z digest=sha256:b0bebe0fa3ae149da4cb2ab9dc74fb42e8b40bc6905e12e2d08c093348b807b2

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=sha256:54d112cf6bb02ab16b9cd48ae3032054d41a459a166362fe661225f819cd1e2b

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=sha256:9bfbd0d094097e92397ca6a77c2a47ff99e29b395b46933d18474849237d5050

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:26.731586Z digest=sha256:6edfa68ff7b74076f649635335e9906c3ea8052ae1283ac78af2f1cc44452575

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:26.836375Z digest=sha256:96612600d69e7ed2347b965aa0ada27397a3cb21d471a625b22805b4a395c4c6

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:26.942466Z digest=sha256:0d4971a7399e7a50d635fe3e2d0c804161d3d1bf92b97b08c00ff2d8d78250c7

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:26.999208Z digest=sha256:24533b196e612791f1a22abdc65515e97283f9811c0e02677ca7b505c6a2ffca

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:27.104867Z digest=sha256:4aa611d44f38c20d7f4919615d4fabc212f91497257f8879e99295f3f0f3ae20

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:27.202087Z digest=sha256:54eb73afe92dc648200c9b902c4f9288a64c23de68150f068b2578ad1e1325bc

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:27.264035Z digest=sha256:3de5de65580b17a577d265afdd460138c710ba3a069b5a8807a3c76cd078be2c

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:fa69bf9bec5de1e2b3b8f4fe65329f3526a957a9ae12816b4e8211a619dae5a7

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:27.466445Z digest=sha256:064316b2cb2b789edfedf5778f5b54a8e56a6a73bde6e3a51de401d2829a324a

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:27.543005Z digest=sha256:1233d352b6327e425922fcdd45d2165656a93327ff9ab06e987ef7d53dd77c85

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:27.650625Z digest=sha256:a798f9674b5b55d79ccfd2f10ff6afe389e052c063672d0c4b020f0e55311685

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:27.729282Z digest=sha256:c13458b640a89225539ec3750a59ee8f3c4e7be1db7d5dc55e1674a9ef578fa0

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:27.828320Z digest=sha256:98d5555dc5aeb254498d9b58a80adc00df5dd63a8bcbe4009f2f6fa715d96f47

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:27.930411Z digest=sha256:d60f1b75760a2e2681a016ddcb8f3431c2c0a1f7e2b53e4ff074f219f5b8b01a

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.062551Z digest=sha256:845bed8a2ad22aa2e254f967fd3a06bcfa3facfc3b02ef1d058b7bc64eb4de27

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.109993Z digest=sha256:446e9f2fe3b6d9d293e9ae6c9d44b8f07278d33875591931f26e800e3c2915db

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.222992Z digest=sha256:1b1e12c6827a215f741eb5ed6e27fe8328fbcdf223e3055dec0d17e2233ea130

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.289209Z digest=sha256:164233c5233fd53ca9af6427a4c07d6ccc9c3e36e376b16783f11baff14cc613

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.358070Z digest=sha256:6d11efa4e063dfed0fa631dfe823ee6c990a3c7ec7663efbfad269ef238b1f45

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.405296Z digest=sha256:af65cc7455cd7b1a71657e5891dbd56f7bfa840338116ca0e6e60bbd1366430b

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.413479Z digest=sha256:8b4a377a39ea1025b367252375eec3f5357c491b984b0b8fde663fa1aead633b

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.419110Z digest=sha256:29b97bb1ae7e8c563e8d36bbf5932e04bad7be5d5657bccc19c993e962652374

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.424892Z digest=sha256:e9d7283613bb3e8949dd597da84aa33b9b25410a4c6a2124b7ce216e033e45c6

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.430212Z digest=sha256:1d5a57366db5ae7846b6d98115f9093d35aea4da07c233d76e9003f2b1e3da2e

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.436944Z digest=sha256:7dde1ebee57a1b4ad8f180a36d931ff85bcf2410c64c57e52b1c1e99f1174344

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.445789Z digest=sha256:8d9d589df7274f5aca99e48c6693b903882799a5f4d2840ba76d19a34598c5f9

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.453320Z digest=sha256:f01d401f31770204ae3678f53725ff2869e951f7f7429d6aa07898d6c09dc140

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.460163Z digest=sha256:92870134e10198a23b19504cf14a425f8e5a3eeed35eb5952bf8fc007f259788

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.466357Z digest=sha256:d09ae9ca3e9e54301a1687e634c25068d9b377c808049299cff0c942e2c3ca6e

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.471207Z digest=sha256:22053b98451b16d4ffb4278aa3bf328d4f9579ab9d7ef827a27cd3a221904ea1

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.477099Z digest=sha256:251bf2214d80bf7b423ade7e52a1573e76315e58824341691ef580926b2205d3

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.483704Z digest=sha256:2f9ed4c862138a39f865f295bee580c0e0bbc56da8b474bc312f6d9760ca7d9d

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.493441Z digest=sha256:774694862a762cba4a32ff0c9b996cd97c71c8bf036a7cf9986cbb13c0e76423

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.507072Z digest=sha256:5169ed7735025142fecbdb29dc766b02ff594fff66c8509e906dad2cd37be4b9

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.514232Z digest=sha256:429d4bfc3e2185a045f83fbbe2dabcc3fc1700c951115ef89b0ccb3a3ef1b6ed

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.519758Z digest=sha256:20e1a4f617a709db24abb490fa3417691a2c50444410827b807c421adea0a636

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.527292Z digest=sha256:419310eeddfc001bb3f590b46406b284c8a076a20f30317692735ebb800cef33

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.535143Z digest=sha256:7499ff534c9f968dff61e39af0cb1b1fd774992b6bf64199373e3bfc811aa662

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.542743Z digest=sha256:73db873308038019f8d81a1a8a9fe27403d67beec2e36b455b6a98cbde44f9a5

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.547828Z digest=sha256:9e33aa683906e4c9500755a4a3802e441e99aaf52f6ebb6066bc4df16d0afa1a

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.553647Z digest=sha256:68526a3533a4816ce685edbc7a95b1181768ead9a59da850090a3a0c7b7054b5

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:f901324ff9ff8d528196380f13ecd8c4ca62e4ea95e0dfcfd55a4bdd633d192f

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:d4fbc769a042e447aa59214f4aba277d1b17b0cc573c0ea7c1011284d9076304

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:beaff6624a16f8e0eaeb2ff2ff134819af027fa97dab2f86eb670c51378ff8c1

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.576745Z digest=sha256:b118b72186084e7ad5872aceee655a86314b440d96913a6ddb3d7fa006a53165

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.584769Z digest=sha256:5e80cbe6f43f525e788d00840ab82fdfc1f266d1d6cadb1af38adbc78a589683

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.595479Z digest=sha256:0b6f3f48765ccf7cdd0acfbe625eb5862531d7f364c443f996409126ae5e01d7

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.604056Z digest=sha256:3792e8c36558d68ab207fc830ff909c7c69d758d7e7477644492608e0fb27049

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.614757Z digest=sha256:d0a511b1cb62dfe5649c4c6303948736455252feae9da958fce32863887d46ee

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=sha256:3e35c5fe3cc61e61af4ae2245a9344f3f2848aa04e93410f515d7f4dd6e10bcd

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.625992Z digest=sha256:65ebcd2d4a1a7cbed61d918fb7f32ce5725ccfd8c037bd32d32b959e73241dbf

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.631283Z digest=sha256:9e7b42b59764e601711989f4196b4ec0bf265d39d2c823dc46b412c6d097c21c

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.638030Z digest=sha256:5df6bcd26dfc89616e41650e3275583febffa5426c5b2217410678c9af4394c3

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.643690Z digest=sha256:d463db8d33cd61c8c7707297cabeae3396e35dba376592ca0eabd2dc894c7995

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=sha256:299bd345a4edd7183cad42304cc5e1b9cde0fe492dfbea911c8ee6f74b3c67c0

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.656532Z digest=sha256:b6485bb9ff95ccc68dd9eff854fb29867bd70be6a32ee1a3e01193fc978e0c59

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.663835Z digest=sha256:ba37c91008447f87e7ecb38fddc096cf48f87fc8a70c9056771ff00dc235e274

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:b86cbfb98f0d9e928a5bf910dd0c8e037a5aebff7cf8ce6e65ad92aebba7bfab

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.677330Z digest=sha256:0df29e48b1a7a044141f1ab964f948ea47206a50ba61d911a53201e056ab59f3

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.683850Z digest=sha256:73ba2215a546b14b14f018bc31e67bc0629b157a0fd400440d91661613a644ec

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.689512Z digest=sha256:75e29ef5b3c8d3d1a80cc589ce1499fee8cf9c83b96b9d270913aa156f0047af

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.696984Z digest=sha256:061d76c87a5530910bab853e65d485ecf0010aeb00fc113037e604a6a5878d1f

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.702986Z digest=sha256:f338c7077bbae321590bcf53c1ed95e85bca41916fe6aca177d02bed26783bb1

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.711899Z digest=sha256:cb77bd63dcc312d7e3e69469540551bc0a171083c1f85f847c2d4091c19cf61a

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.719228Z digest=sha256:bf6b0ea7bd2321977f7412111a45a761894f7113a10b55bb69846923bfcc41e2

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T20:07:28.726529Z digest=sha256:dbb19132d66faee4d1331c07284522061793c16faecb1fbef90fa62bd1604f4e

Pith citing papers

No inbound Pith citation observations are available.