Paper Citation Record · LEDGER

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field

As of 23 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 2 inbound Pith citation observations for arXiv:2411.16452.

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

pith.paper-citation-record.v1
2411.16452 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:12:52.557341Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T20:05:42.099825Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T16:08:37.253201Z

Reference resolution

41 of 41 outbound references displayed

verified exact2
verified fuzzy31
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b0ba44c8-ca83-43f5-af4c-b455a85177f1 · outbound

This paper cites Near-critical dimers and massive SLE.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Near-critical dimers and massive SLE

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-12T13:12:52.341741Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c0bb2e87-1a52-4db6-a893-44ae1a66d637 · outbound

This paper cites an unresolved cited work.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:12:53.346860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ae6de537-4981-45e4-a7d1-ceb1884e0884 · outbound

This paper cites Conformal Mea sure Ensembles for percolation and the FK–Ising model.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Conformal Mea sure Ensembles for percolation and the FK–Ising model

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:53.326538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b81d4c22-35ec-483a-b6d7-ab8d8403ad1e · outbound

This paper cites an unresolved cited work.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:12:53.310693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 33feb10f-4d07-4024-a3a9-1701a9357a01 · outbound

This paper cites an unresolved cited work.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:12:53.290666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9329a0a4-5758-42dd-83c1-62321fc4b5e3 · outbound

This paper cites Planar Ising model at criticality: state-of-the- art and perspectives.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Planar Ising model at criticality: state-of-the- art and perspectives

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:53.270508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8debc9de-b165-4bbd-ad67-733e46a16c60 · outbound

This paper cites Discrete complex analysis on isoradial graphs.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Discrete complex analysis on isoradial graphs

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:53.252780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8c6190a3-ad2b-4220-a974-aa607a7ae050 · outbound

This paper cites On the convergence of massive loop -erased random walks to massive SLE(2) curve.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field On the convergence of massive loop -erased random walks to massive SLE(2) curve

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:53.235042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 50cbc555-62ee-4c16-9649-9c7a38104f30 · outbound

This paper cites Con- vergence of Ising interfaces to Schramm’s SLE curves.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Con- vergence of Ising interfaces to Schramm’s SLE curves

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:53.218448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 07e7032a-2e4f-4d2e-ab40-a783c5a2a86f · outbound

This paper cites Conn ection probabilities in topological ractangles for the critical planar FK-Ising model.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Conn ection probabilities in topological ractangles for the critical planar FK-Ising model

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:53.202379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8b0a0355-ca8f-4ec6-8236-8eedfbb0b2e4 · outbound

This paper cites Correlations of primary fields in the critical Ising model.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Correlations of primary fields in the critical Ising model

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-12T13:12:52.398587Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 138f003f-2587-4c12-9994-e05383eab615 · outbound

This paper cites Univ ersality of spin correlations in the Ising model on isoradial graphs.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Univ ersality of spin correlations in the Ising model on isoradial graphs

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:53.185588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 30a1fbeb-8227-4822-a8fa-b91cc1a65f97 · outbound

This paper cites Graphical representations for Ising and Potts models in general external ﬁelds.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Graphical representations for Ising and Potts models in general external ﬁelds

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:53.163775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f12ad231-d707-4f29-bac7-393be7126ec9 · outbound

This paper cites SLE and the free ﬁeld: partition functions and couplings.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field SLE and the free ﬁeld: partition functions and couplings

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:53.147923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5f12b6a8-8b34-4360-86da-a93d25d8329f · outbound

This paper cites Parafermionic observables and their applications to plana r statistical physics models.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Parafermionic observables and their applications to plana r statistical physics models

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:53.132899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4fff05e3-563a-48c2-ba50-745adcb8f92d · outbound

This paper cites 100 Years of the (Critical) Ising Model on the Hypercubic Lattice.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field 100 Years of the (Critical) Ising Model on the Hypercubic Lattice

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-12T13:12:52.425880Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 71973f98-b58c-4a17-b832-81338687af98 · outbound

This paper cites Connect ion probabilities and RSW-type bounds for the two-dimensional FK-Ising model.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Connect ion probabilities and RSW-type bounds for the two-dimensional FK-Ising model

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:53.115681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f340aa28-41e2-46fe-9bf9-e3bd1a1d8258 · outbound

This paper cites Edwards and Alan D.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Edwards and Alan D

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:53.099169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7dfb65c0-71f6-4059-b24c-73f87dd99f59 · outbound

This paper cites Statistical Mechanics of Lattice Systems: A Concrete Mathe matical Intro- duction.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Statistical Mechanics of Lattice Systems: A Concrete Mathe matical Intro- duction

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:53.080537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9aa83ef0-6bd6-4724-8045-7b8f7eff2a29 · outbound

This paper cites A tightness crite rion for random ﬁelds, with application to the Ising model.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field A tightness crite rion for random ﬁelds, with application to the Ising model

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:53.059973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0b2abf7c-e42e-4179-8da8-90506c978492 · outbound

This paper cites Pivotal, cluster and interface measures for critical planar percolation.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Pivotal, cluster and interface measures for critical planar percolation

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:53.043218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1f7e916b-d694-4d62-b566-d05b7c611205 · outbound

This paper cites The sca ling limits of near-critical and dynamical percolation.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field The sca ling limits of near-critical and dynamical percolation

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:53.027688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e7236a02-8595-4606-8cd8-dcaba71d1d40 · outbound

This paper cites Imaginary mu ltiplicative chaos: moments, regularity and connections to the Ising model.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Imaginary mu ltiplicative chaos: moments, regularity and connections to the Ising model

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:53.011845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 735a0030-a99f-4cea-bdc1-84c7346e3ac4 · outbound

This paper cites Limits of conformal images and conformal images of limits for planar random curves.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Limits of conformal images and conformal images of limits for planar random curves

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:52.994816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 61900107-d005-4e9b-a3fa-eb9c02046599 · outbound

This paper cites Schramm–Loewner Evolution.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Schramm–Loewner Evolution

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:52.976930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b80cd1a7-405d-4478-bc1a-b8310344b2a0 · outbound

This paper cites Random curves, scalin g limits and Loewner evolutions.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Random curves, scalin g limits and Loewner evolutions

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:52.960414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation fdf56292-3b9f-45d5-9277-de4d3327b6a2 · outbound

This paper cites Lawler, Oded Schramm, and Wendelin Werner.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Lawler, Oded Schramm, and Wendelin Werner

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:52.945166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8d7f2015-31d3-40f9-8c9b-e50085d59941 · outbound

This paper cites an unresolved cited work.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:12:52.929756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation eb62c126-5aa0-4a14-8841-582b58217a09 · outbound

This paper cites Oﬀ-critical lattice models and masive SLEs , pages 362–371.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Oﬀ-critical lattice models and masive SLEs , pages 362–371

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:52.912906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2ee98bd8-524c-4935-9e60-21853ec3e4c9 · outbound

This paper cites Asymmetry of near-critical pe rcolation interfaces.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Asymmetry of near-critical pe rcolation interfaces

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:52.894827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ee6d42a3-0574-4ba1-a14d-60723a83e784 · outbound

This paper cites Massive SLE4 and the scaling limit of the massive harmonic explorer.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Massive SLE4 and the scaling limit of the massive harmonic explorer

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:52.879454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 71ed5338-d340-474e-a964-1557157c7fa9 · outbound

This paper cites Massive SLE$_4$, massive CLE$_4$ and the massive planar GFF.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Massive SLE$_4$, massive CLE$_4$ and the massive planar GFF

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-12T13:12:52.656570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation caf91b43-7a2c-4fa6-a527-8e4507c3069d · outbound

This paper cites On Isomonodromic Deformation of Massive Ising Spinors.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field On Isomonodromic Deformation of Massive Ising Spinors

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-12T13:12:52.625470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b15fb135-25b8-4437-8bcd-abd67ad0f725 · outbound

This paper cites an unresolved cited work.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:12:52.861880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c00f4727-8f1d-4769-be36-27cd5e1aafe8 · outbound

This paper cites Boundary Behaviour of Conformal Maps.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Boundary Behaviour of Conformal Maps

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:52.845984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b3781b67-7ed8-4d6f-97d4-8ae92729da3d · outbound

This paper cites Scaling limits of loop-erased random walks and unif orm spanning trees.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Scaling limits of loop-erased random walks and unif orm spanning trees

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:52.830687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 26a2c51c-67eb-49c5-ae3a-5fd80c599904 · outbound

This paper cites Harmonic explorer and its con vergence to SLE 4.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Harmonic explorer and its con vergence to SLE 4

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:52.813188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 89541ad0-f9d8-4701-b9d1-2eeb8971566e · outbound

This paper cites Contour lines of the two-dime nsional discrete Gaussian free ﬁeld.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Contour lines of the two-dime nsional discrete Gaussian free ﬁeld

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:52.796797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5cad97db-77fe-41e0-b865-1673b1ae27e1 · outbound

This paper cites A contour line of the continuu m Gaussian free ﬁeld.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field A contour line of the continuu m Gaussian free ﬁeld

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:52.777603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation dab42ab5-c576-43ee-a422-3978af1f9fd2 · outbound

This paper cites Critical percolation in the plane: conformal in variance, Cardy’s formula, scaling limits.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Critical percolation in the plane: conformal in variance, Cardy’s formula, scaling limits

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:52.760380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1c88c4ac-9dd9-421c-8531-37132bf4065d · outbound

This paper cites Alternating arm exponents for the critical planar Ising model.

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field Alternating arm exponents for the critical planar Ising model

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:12:52.741735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

Observation c4bbf5b9-5356-4712-8dc8-2bc5a6c68b91 · inbound

The near critical random bond ising model via embedding deformation cites this paper.

The near critical random bond ising model via embedding deformation Interface scaling limit for the critical planar Ising model perturbed by a magnetic field

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-04T20:05:42.099825Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f6082ce0-d829-4aa9-bff6-8dcff71d167c · inbound

Scaling limits of the single-curve interface and outermost loops in the planar random field Ising model cites this paper.

Scaling limits of the single-curve interface and outermost loops in the planar random field Ising model Interface scaling limit for the critical planar Ising model perturbed by a magnetic field

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-07-03T16:08:37.254801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.