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Paper Citation Record · LEDGER

A switching identity for cable-graph loop soups and Gaussian free fields

As of 21 August 2026, this Paper Citation Record lists 71 of 71 outbound references and 3 inbound Pith citation observations for arXiv:2502.06754.

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

pith.paper-citation-record.v1
2502.06754 v4

Coverage vector

measured 71 of 71 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T14:41:53.980658Z

measured 74 of 74 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:32:39.539694Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-19T22:47:49.918060Z

Reference resolution

71 of 71 outbound references displayed

  • verified exact10
  • verified fuzzy50
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d53ca82b-f55d-4d8d-98c7-7a8d155fd998 · outbound

This paper cites Cluster explorations of the loop soup on a metric graph related to the Gaussian free field.

A switching identity for cable-graph loop soups and Gaussian free fields Cluster explorations of the loop soup on a metric graph related to the Gaussian free field

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-08T14:41:54.199422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 133fe2d6-29c3-4717-b307-6923c819c7a3 · outbound

This paper cites The stochastic Jacobi flow.

A switching identity for cable-graph loop soups and Gaussian free fields The stochastic Jacobi flow

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-08T14:41:54.185832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.761351Z digest=sha256:bb73aa6fdfa7daa822ebbe61e49f4edbf50afc712402605091388a24102e6edf

Observation 9be95563-a3fd-453d-b8c4-58c4d599539d · outbound

This paper cites Geometric Analysis of ϕ4 Fields and Ising Models (Parts 1 & 2).

A switching identity for cable-graph loop soups and Gaussian free fields Geometric Analysis of ϕ4 Fields and Ising Models (Parts 1 & 2)

Reference 3

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raw_fallback, observed 2026-08-08T14:41:54.760999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.764945Z digest=sha256:31ac359203ee22c87d8f2f6ce8b7a580b9290c76a3d189158cf4c4861a75ab4c

Observation e2551132-5f42-46fa-985a-7b07a13af452 · outbound

This paper cites On the number of incipient spanning clusters.

A switching identity for cable-graph loop soups and Gaussian free fields On the number of incipient spanning clusters

Reference 4

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raw_fallback, observed 2026-08-08T14:41:54.751590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.768569Z digest=sha256:1406c9e26d681ae5de4033c5ffd751e674127d9ca4cc8904288eec0e3c037f12

Observation 29434a48-ee38-4cf3-b432-ac77892d8e92 · outbound

This paper cites an unresolved cited work.

A switching identity for cable-graph loop soups and Gaussian free fields Unresolved cited work

Reference 5

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raw_fallback, observed 2026-08-08T14:41:54.742099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.772145Z digest=sha256:8423161a78fab23f4135d05b8c3b54c5b8b6e478854c8920c5fe202734732f44

Observation 05cf028b-8a69-432c-bc30-de2e2d90f13d · outbound

This paper cites Excursion decomposition of the 2D continuum GFF.

A switching identity for cable-graph loop soups and Gaussian free fields Excursion decomposition of the 2D continuum GFF

Reference 6

Resolution
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no resolver link, observed 2026-08-08T14:41:53.775459Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T14:41:53.775459Z digest=sha256:ff4e2dcd968f8d66df97b1b233e75b02c3d49db0db5a135551efaf65ee3a875f

Observation 6340c088-7db1-4145-8c26-57a3700ab854 · outbound

This paper cites Spin systems from loop soups.

A switching identity for cable-graph loop soups and Gaussian free fields Spin systems from loop soups

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.731407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.779220Z digest=sha256:4b6f5d677ddef0ec3d97ce0d8c0df2e5240121cb786083249c6dd4d59bdc132e

Observation 8ba42502-bc6b-4030-b397-86190d3b3663 · outbound

This paper cites The random walk representation of classical spin systems and correlation inequalities.

A switching identity for cable-graph loop soups and Gaussian free fields The random walk representation of classical spin systems and correlation inequalities

Reference 8

Resolution
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raw_fallback, observed 2026-08-08T14:41:54.721491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.782918Z digest=sha256:47ed34c236a1369303ca6c80b189bf178bb69e760a4513bf0013736805a40307

Observation b8b32a76-2a9f-4a7e-a4db-a75eeeec6c64 · outbound

This paper cites One-arm exponent of critical level-set for metric graph Gaussian free field in high dimensions.

A switching identity for cable-graph loop soups and Gaussian free fields One-arm exponent of critical level-set for metric graph Gaussian free field in high dimensions

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-08T14:41:54.161557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.785867Z digest=sha256:8433e6116788fb817f81b57c2b99c08d85b5eb3e5690a21ffce6bb88c5a6e611

Observation 0bc59f6d-77eb-46f0-9a3e-7e894bda1d45 · outbound

This paper cites One-arm Probabilities for Metric Graph Gaussian Free Fields below and at the Critical Dimension.

A switching identity for cable-graph loop soups and Gaussian free fields One-arm Probabilities for Metric Graph Gaussian Free Fields below and at the Critical Dimension

Reference 10

Resolution
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no resolver link, observed 2026-08-08T14:41:53.789386Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T14:41:53.789386Z digest=sha256:e9f90da68eff329935c7b8996ae4420ef1ce37ad7f676e1b52f3b6654ba4b1ee

Observation ac548ec3-ef45-45b7-be93-1d4e3b3d6fde · outbound

This paper cites Quasi-multiplicativity and regularity for metric graph Gaussian free fields.

A switching identity for cable-graph loop soups and Gaussian free fields Quasi-multiplicativity and regularity for metric graph Gaussian free fields

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-08T14:41:54.138627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.793008Z digest=sha256:520c8966f28a43767281f0ea80af71803855555a6157b0bf44b04d0852d87878

Observation 551930a3-cf7a-499e-86af-ce62114e4da4 · outbound

This paper cites Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs.

A switching identity for cable-graph loop soups and Gaussian free fields Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-08T14:41:54.125072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.796788Z digest=sha256:f2704cb1985499c25664a050aa9b3335658cf5a1856776575d63360d6f12633a

Observation a9a78c72-56fa-493d-878a-b22b5349c70f · outbound

This paper cites On loops in critical high-dimensional percolation.

A switching identity for cable-graph loop soups and Gaussian free fields On loops in critical high-dimensional percolation

Reference 13

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.800385Z digest=sha256:ad7c315aa019c05fcf8ef46c4663a33e7b3d92374b9f7f73d7a6f0e365670dab

Observation 6ee296a4-5f7b-4d08-98fa-6b0f98e0b0d4 · outbound

This paper cites Percolation for level-sets of Gaussian free fields on metric graphs.

A switching identity for cable-graph loop soups and Gaussian free fields Percolation for level-sets of Gaussian free fields on metric graphs

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.700904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.803865Z digest=sha256:78c803c3f8267227b8ec391de878eaf94d8d365f58bd57dd2381b3d7ad79097f

Observation 46937032-a3af-4a8d-84cb-deb6e38314a8 · outbound

This paper cites Cluster capacity functionals and isomorphism theorems for Gaussian free fields, Probab.

A switching identity for cable-graph loop soups and Gaussian free fields Cluster capacity functionals and isomorphism theorems for Gaussian free fields, Probab

Reference 15

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raw_fallback, observed 2026-08-08T14:41:54.691106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.806880Z digest=sha256:06d9985b646003747ebb42fdb87b5b7143df77ca3ae8e6b797e8f6f204d45e98

Observation 4d31511b-6194-4150-9e1b-ec7727bbd7cf · outbound

This paper cites Critical exponents for a percolation model on transient graphs.

A switching identity for cable-graph loop soups and Gaussian free fields Critical exponents for a percolation model on transient graphs

Reference 16

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verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.680796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.809863Z digest=sha256:e197becde655828ea8d770684b5ac5aa9fe2461de2e44539dd34f0714da20823

Observation 23466b77-5cec-4db7-b5b6-1a5dc56f3a09 · outbound

This paper cites Critical one-arm probability for the metric Gaussian free field in low dimensions.

A switching identity for cable-graph loop soups and Gaussian free fields Critical one-arm probability for the metric Gaussian free field in low dimensions

Reference 17

Resolution
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local_arxiv, observed 2026-08-08T14:41:54.111300Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.812924Z digest=sha256:055bd6d29f8e5d0d5dffa2affed64a7b6a9862214a48f4af72c134809117048e

Observation da9e0a0a-c5e8-4c9b-9a5c-a9efed28ae00 · outbound

This paper cites Cluster volumes for the Gaussian free field on metric graphs.

A switching identity for cable-graph loop soups and Gaussian free fields Cluster volumes for the Gaussian free field on metric graphs

Reference 18

Resolution
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local_arxiv, observed 2026-08-08T14:41:54.097823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.816273Z digest=sha256:27d5273199f2c8d4e46d4745a4334ec1d7b4f976852610c1a61d36418626a82e

Observation 3fd590de-a2b4-4881-8ac4-6582a8c2353b · outbound

This paper cites SLE and the Free Field: Partition functions and couplings.

A switching identity for cable-graph loop soups and Gaussian free fields SLE and the Free Field: Partition functions and couplings

Reference 19

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.819763Z digest=sha256:931162710ae9b3b6ff821699999d81ee359fc7a08e339deb71f63cd3c269ea26

Observation abc6bda6-a787-4643-9be4-ee911c52b5b6 · outbound

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

A switching identity for cable-graph loop soups and Gaussian free fields 100 Years of the (Critical) Ising Model on the Hypercubic Lattice

Reference 20

Resolution
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local_arxiv, observed 2026-08-08T14:41:54.084158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.823330Z digest=sha256:d3cffa0f22816591ef419aa2378faf83f20cd825f9d9fc5c8d3831ee10c55dbf

Observation 1d0e4b79-2ced-4b05-a924-1ff66dfc2f55 · outbound

This paper cites an unresolved cited work.

A switching identity for cable-graph loop soups and Gaussian free fields Unresolved cited work

Reference 21

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.826857Z digest=sha256:05711dde87f1d47c767938648498dbc68c9c01363475a21834b5476d2308f3f2

Observation 5808496e-f4d7-4b2a-a761-f8b1ec3dee96 · outbound

This paper cites an unresolved cited work.

A switching identity for cable-graph loop soups and Gaussian free fields Unresolved cited work

Reference 22

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.830018Z digest=sha256:e3a5908d4b90200e04ee543df50a5014cb10b4ed69afb2f83bb6ea8aca7571b0

Observation 663ceb44-8a79-4060-bc43-d814916999a1 · outbound

This paper cites Critical level set percolation for the GFF in $d>6$: comparison principles and some consequences.

A switching identity for cable-graph loop soups and Gaussian free fields Critical level set percolation for the GFF in $d>6$: comparison principles and some consequences

Reference 23

Resolution
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local_arxiv, observed 2026-08-08T14:41:54.069710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.833090Z digest=sha256:a6b4b8022d5a5ae2cc86f202b018a68f2ecbf86807c6a13397314776773213dc

Observation c13cbab5-861a-46a9-a9da-93e52f5c274e · outbound

This paper cites The ant on loops: Alexander-Orbach conjecture for the critical level set of the Gaussian free field.

A switching identity for cable-graph loop soups and Gaussian free fields The ant on loops: Alexander-Orbach conjecture for the critical level set of the Gaussian free field

Reference 24

Resolution
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local_arxiv, observed 2026-08-08T14:41:54.054436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.836426Z digest=sha256:e099a0e2c1a914bb46d72b22cd28dd8ef616bf9441899d34b232bd81e607c51e

Observation 0914a921-1466-4a82-a74b-e377ef3b8632 · outbound

This paper cites Griffiths, Charles A.

A switching identity for cable-graph loop soups and Gaussian free fields Griffiths, Charles A

Reference 25

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.839594Z digest=sha256:0b48632847e6a087eca8d941c406bf940650d3f61dbfeb235cbf0be20ab3ddac

Observation 353dfda6-5769-4afe-92f2-9776d59be86c · outbound

This paper cites Random even graphs.

A switching identity for cable-graph loop soups and Gaussian free fields Random even graphs

Reference 26

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.842756Z digest=sha256:2987c4263c7f32f4b14d8a13caec5361a0c0d9452612c45dd3878a11dbea26ea

Observation e270c69f-b35e-40b2-a236-1b1100d509da · outbound

This paper cites Conformally invariant fields out of Brownian loop soups.

A switching identity for cable-graph loop soups and Gaussian free fields Conformally invariant fields out of Brownian loop soups

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-08T14:41:53.845557Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T14:41:53.845557Z digest=sha256:d432c5d844086428b8ae5c84221289992f93c4d99c39420707869962dd96f1f1

Observation b06f1f13-6b07-4560-ba42-88782e1eb864 · outbound

This paper cites Covariant Symanzik identities.

A switching identity for cable-graph loop soups and Gaussian free fields Covariant Symanzik identities

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.624382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.849191Z digest=sha256:08ad08f8aad2ead174ed8fdcb33fceb2f10ff06e2332620a8fd8342e2eca7491

Observation 850d33ab-b1f3-41dd-b128-5e4f56f5e4a8 · outbound

This paper cites The incipient infinite cluster in two-dimensional percolation.

A switching identity for cable-graph loop soups and Gaussian free fields The incipient infinite cluster in two-dimensional percolation

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.615125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.852085Z digest=sha256:727b15a59fef37bd092ffacdc95f712af851fec045e8b663f6093bdb19453b29

Observation fc849d74-8c3b-4a87-b6fa-283b1260219d · outbound

This paper cites The Alexander-Orbach conjecture holds in high dimensions.

A switching identity for cable-graph loop soups and Gaussian free fields The Alexander-Orbach conjecture holds in high dimensions

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.604757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.855184Z digest=sha256:3e654037079f9b0ef01e7468fc1fa094a9184556a02a00f7a6f2c39c3e241ce7

Observation 9e51dcdc-143c-49be-b3f0-77e5a2e2603a · outbound

This paper cites an unresolved cited work.

A switching identity for cable-graph loop soups and Gaussian free fields Unresolved cited work

Reference 31

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raw_fallback, observed 2026-08-08T14:41:54.594268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.858280Z digest=sha256:ad473ce43fe34e96fca3948e4d9fd9f2aef6744ef503f8526adeec157d3eb674

Observation cfbc8f05-7bf7-4ccf-ac10-7db1d3d24bb8 · outbound

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

A switching identity for cable-graph loop soups and Gaussian free fields Lawler, Oded Schramm, and Wendelin Werner

Reference 32

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raw_fallback, observed 2026-08-08T14:41:54.584322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.861125Z digest=sha256:726d483cff3e04950d6982b967a6a9cd8c3db0e57131698196feab2d9fb54083

Observation 8f50b7f8-5b80-4c96-a817-3b62f3b57ae3 · outbound

This paper cites Lawler and Jos´ e A.

A switching identity for cable-graph loop soups and Gaussian free fields Lawler and Jos´ e A

Reference 33

Resolution
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raw_fallback, observed 2026-08-08T14:41:54.574538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.864096Z digest=sha256:174973b535d6dbef7e150f6587dd1ce9c312a2c4e8f6d310497629593fd29d6b

Observation d359aa29-f444-4761-86f4-f35796f6ff61 · outbound

This paper cites Lawler and Wendelin Werner.

A switching identity for cable-graph loop soups and Gaussian free fields Lawler and Wendelin Werner

Reference 34

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raw_fallback, observed 2026-08-08T14:41:54.565056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.866946Z digest=sha256:0378cb5d1eacab6c9c0f468ef988d2d79bb0f05b037eeb6a239ca82483381b56

Observation 1e04e1cc-451a-4073-96ab-6196de4cecd9 · outbound

This paper cites Parity questions in critical planar Brownian loop-soups (or "where did the free planar bosons go?").

A switching identity for cable-graph loop soups and Gaussian free fields Parity questions in critical planar Brownian loop-soups (or "where did the free planar bosons go?")

Reference 35

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no resolver link, observed 2026-08-08T14:41:53.870091Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T14:41:53.870091Z digest=sha256:12eec37ca7576d0ae941e9c74cd52b1ed3c1a6e7932703bf58913ad27f187df1

Observation f8b629d6-13cf-479d-b9ee-64a4ff868b3d · outbound

This paper cites Markov loops and renormalization.

A switching identity for cable-graph loop soups and Gaussian free fields Markov loops and renormalization

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.555281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.873835Z digest=sha256:207590abb4004b9be83b88db97b9aaf1ed5c4b8f5209172ab67bd9f49b737e9d

Observation beb44b8c-8f82-4665-9bd1-5c6ea98ec7a5 · outbound

This paper cites Markov paths, loops and fields , L.N.

A switching identity for cable-graph loop soups and Gaussian free fields Markov paths, loops and fields , L.N

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.545175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.876824Z digest=sha256:5f6b46ecaf224bc7c8abe48d47481bf5ba5566af05a068e0ec27834f6c3f9f7d

Observation 8a91d2ca-60ef-4fca-95a6-a9030eda4c30 · outbound

This paper cites Random Walks and Physical Fields, Springer, 2024.

A switching identity for cable-graph loop soups and Gaussian free fields Random Walks and Physical Fields, Springer, 2024

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.535195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.879769Z digest=sha256:8867b104cae2a269f8b11d4c150aa93459c4a76d4bb48f8cf233d608ed74f019

Observation 4dd85d80-1e4a-47e8-beb5-644a43fad423 · outbound

This paper cites From loop clusters and random interlacements to the free field.

A switching identity for cable-graph loop soups and Gaussian free fields From loop clusters and random interlacements to the free field

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.524796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.882912Z digest=sha256:433eff39882c5d4498da10995f3f2e5346500d090337c4184316676640cbfd7a

Observation 7acc8fa1-dd30-4161-8d1f-cb44099e8aea · outbound

This paper cites Convergence of the two-dimensional random walk loop-soup clusters to CLE.

A switching identity for cable-graph loop soups and Gaussian free fields Convergence of the two-dimensional random walk loop-soup clusters to CLE

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.514436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.885795Z digest=sha256:0796e8bd9cb7a21a05ab1c113049f2046a313dc90fca348ea3bdde2ee06327fd

Observation d315b582-f813-4fde-bf96-c4bc8e7ec35c · outbound

This paper cites An equivalence between gauge-twisted and topologically conditioned scalar Gaussian free fields.

A switching identity for cable-graph loop soups and Gaussian free fields An equivalence between gauge-twisted and topologically conditioned scalar Gaussian free fields

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-08T14:41:53.888848Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T14:41:53.888848Z digest=sha256:596f49a2d4748e938d2706a4d02e59842487818d2ab547b4333982f0ad2945e9

Observation a8a28e1c-43b4-4517-956c-b7828be768b3 · outbound

This paper cites Inverting the coupling of the signed Gaussian free field with a loop-soup.

A switching identity for cable-graph loop soups and Gaussian free fields Inverting the coupling of the signed Gaussian free field with a loop-soup

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.503220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.892143Z digest=sha256:242b7ffdd12c0271af3adce5502ce244e0cf9b46997602e880e473747c013c2b

Observation c7492d8e-6403-4135-9266-040803d06637 · outbound

This paper cites Fine mesh limit of the VRJP in dimension one and Bass–Burdzy flow.

A switching identity for cable-graph loop soups and Gaussian free fields Fine mesh limit of the VRJP in dimension one and Bass–Burdzy flow

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.492300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.895671Z digest=sha256:26488c6ed4954ce25cf11aef19987186f4bc1be5f7889a14bbd69cee039fef94

Observation dadcdca8-c2b1-473d-9dd1-8711492fd36e · outbound

This paper cites an unresolved cited work.

A switching identity for cable-graph loop soups and Gaussian free fields Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-08T14:41:54.482248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.899440Z digest=sha256:e6193602942b00105738209f15292661fde6557b878d8986b2107552092fd0c5

Observation d7520dc2-3f84-45f2-ada4-d7b216ecd62b · outbound

This paper cites The random pseudo-metric on a graph defined via the zero-set of the Gaussian free field on its metric graph.

A switching identity for cable-graph loop soups and Gaussian free fields The random pseudo-metric on a graph defined via the zero-set of the Gaussian free field on its metric graph

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.471824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.902500Z digest=sha256:de7af3c04cf9d7e9a7ab486d7271892b2366cef6b0c607879fcf7654e7e222bd

Observation 9fa36238-46d2-4bb7-a286-2c373df89837 · outbound

This paper cites In preparation.

A switching identity for cable-graph loop soups and Gaussian free fields In preparation

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.461510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.905793Z digest=sha256:02a870b0beb3599255cea79858715ba762fc22c9132b26cabb3d8ecb07fb7821

Observation 15efbe13-f151-43d8-8872-34e714bd11b1 · outbound

This paper cites Marcus and Jay Rosen.

A switching identity for cable-graph loop soups and Gaussian free fields Marcus and Jay Rosen

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.451139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.909193Z digest=sha256:a991ee3c9dcf4cb2ec1d54a41e4535f817566e4b613131d2afa6a95193bad771

Observation 0ac46d05-7d49-4842-ab53-13f05b721fc3 · outbound

This paper cites private communication and talks, 2010.

A switching identity for cable-graph loop soups and Gaussian free fields private communication and talks, 2010

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.440800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.912474Z digest=sha256:eaba85ab48e28eb3d6f933fec928f092feac27294ac1c40e5d54577e6a22f816

Observation c94429c8-7b50-470f-add2-6f6225e1e28a · outbound

This paper cites CLE percolations.

A switching identity for cable-graph loop soups and Gaussian free fields CLE percolations

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.430439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.915387Z digest=sha256:8dd6e207de7690cb7e89735f48f8ac02e459e4e17b013a119d66d5b8e1fc5717

Observation e0b5534d-13c4-4b05-9537-af35ee13a12e · outbound

This paper cites Connection probabilities for conformal loop ensembles.

A switching identity for cable-graph loop soups and Gaussian free fields Connection probabilities for conformal loop ensembles

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.420246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.918315Z digest=sha256:80c8aaf32918d721d9827d1c3bb27752eb58814b96bc4b7bdcd081baa3350b98

Observation 1e7f76be-788c-4e36-88a2-80428d64df9b · outbound

This paper cites A decomposition of Bessel Bridges.

A switching identity for cable-graph loop soups and Gaussian free fields A decomposition of Bessel Bridges

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.409112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.921312Z digest=sha256:9cf596baa53da66c7020eba5c76498d2f12df9178680062fe8c4f250ca8cecc9

Observation 29e43dca-f65c-4443-aa01-fea9cf501250 · outbound

This paper cites Percolation for the Gaussian free field on the cable system: counterexamples.

A switching identity for cable-graph loop soups and Gaussian free fields Percolation for the Gaussian free field on the cable system: counterexamples

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.398926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.924458Z digest=sha256:9b7a1e487f74abf363b9325adcfab3bb9b3f4daae69b16fc61318f5a09cbfef8

Observation eb1a8069-0fac-4c7e-b2fb-048984619911 · outbound

This paper cites Conditioning a Brownian loop-soup cluster on a portion of its boundary.

A switching identity for cable-graph loop soups and Gaussian free fields Conditioning a Brownian loop-soup cluster on a portion of its boundary

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.389176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.927469Z digest=sha256:075a211087bb371808b346c5faf41db6f5073396791ac7b93223d5ae7600b335

Observation 26375ab5-eb7a-4621-800a-223726d497cb · outbound

This paper cites The law of a point process of Brownian excursions in a domain is determined by the law of its trace.

A switching identity for cable-graph loop soups and Gaussian free fields The law of a point process of Brownian excursions in a domain is determined by the law of its trace

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.379329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.930321Z digest=sha256:dfbf7331a94f58ad01125cc9fca302a1204023b7a84d3d3df8e06c2274cdddd9

Observation b87e2fb0-0e44-4f23-b6cc-a7c436af7024 · outbound

This paper cites Decomposition of Brownian loop-soup clusters.

A switching identity for cable-graph loop soups and Gaussian free fields Decomposition of Brownian loop-soup clusters

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.368222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.933084Z digest=sha256:06241046f64119c9b00c7122a0ad2b0ea9baf0225f6d0f772c914f99d4f38e8c

Observation bb536fd6-9e95-48d8-854a-994b1f3d7a5d · outbound

This paper cites an unresolved cited work.

A switching identity for cable-graph loop soups and Gaussian free fields Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-08T14:41:54.357789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.935769Z digest=sha256:99b94e497792e38ee8121a47232f5fde89f4c29c102c040ee683df662e6ad043

Observation 84591ed8-7dd7-497f-ac03-791482902b98 · outbound

This paper cites Inverting Ray-Knight identity.

A switching identity for cable-graph loop soups and Gaussian free fields Inverting Ray-Knight identity

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.348204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.938802Z digest=sha256:2ca7e0d815019269c3a3ae5ed17e756ebffa03d759cdfecd0ad01a3b9a1dbdab

Observation b9a0b0ed-3876-4283-bc85-0653c8507271 · outbound

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

A switching identity for cable-graph loop soups and Gaussian free fields A contour line of the continuum Gaussian free field

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.338792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.941659Z digest=sha256:7b3d28a398afc30c88aa575ca7fd8f3e7ce12c281ce3aa78774c3cc10d0dfb73

Observation 19b9b2b3-5035-46b1-b3ca-64efe0e5558b · outbound

This paper cites Conformal loop ensembles: the Markovian characterization and the loop- soup construction.

A switching identity for cable-graph loop soups and Gaussian free fields Conformal loop ensembles: the Markovian characterization and the loop- soup construction

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.329050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.944531Z digest=sha256:4450ef65ce8bd5e4bb6e5e6122ad093b58d29a270849e888047c2828c7a94921

Observation 1c58dcca-0118-4f1d-9920-e9f0b2a98ed3 · outbound

This paper cites Topics in occupation times and Gaussian free field.

A switching identity for cable-graph loop soups and Gaussian free fields Topics in occupation times and Gaussian free field

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.319159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.947617Z digest=sha256:d5d6587a65651b6635f6e0474cd1474e69c002738a3f0e994bdf1d0e270166e6

Observation e3442bf3-f56c-449c-a38c-fbfe3423d0ff · outbound

This paper cites On scaling limits and Brownian interlacements.

A switching identity for cable-graph loop soups and Gaussian free fields On scaling limits and Brownian interlacements

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.309796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.950232Z digest=sha256:0c88f8dcb06cc2c714003c27af7e0e28277086b772a25dacc7aeb7a59938dd5a

Observation 44048385-60e8-4cbd-9557-42e8f8ff0489 · outbound

This paper cites Euclidean quantum field theory.

A switching identity for cable-graph loop soups and Gaussian free fields Euclidean quantum field theory

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.299978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.952987Z digest=sha256:b780ee30113c88bdb4f6185c5746c60c6d380221e6f92ddb1d0f6d990ca98364

Observation 7c28273a-30e4-48d9-bda0-d58a506aec96 · outbound

This paper cites The true self-repelling motion.

A switching identity for cable-graph loop soups and Gaussian free fields The true self-repelling motion

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.290786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.956044Z digest=sha256:6a25de92f91a79ba3574b9aa067b06aa38fc5041387e345558bf49712789b6c5

Observation 8534eb24-86e1-40cd-a966-f0fed78efcf0 · outbound

This paper cites A stochastic flow arising in the study of local times.

A switching identity for cable-graph loop soups and Gaussian free fields A stochastic flow arising in the study of local times

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.281136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.958848Z digest=sha256:96ab512a098abd10daec9feffd412b4759d632cdfea0e1471176654cd82f7580

Observation 30045a2c-c684-41cb-9a48-b7e4dc45bc7e · outbound

This paper cites The Brownian Burglar: Conditioning Brownian motion by its local time process.

A switching identity for cable-graph loop soups and Gaussian free fields The Brownian Burglar: Conditioning Brownian motion by its local time process

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.271019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.961746Z digest=sha256:a266f25162b0d203ddb0adbe64455a71a15178d26f63507b536b8d8a11fd79ca

Observation 7cf2e51e-2ce7-43e5-95d2-676aecec645c · outbound

This paper cites On the spatial Markov property of soups of unoriented and oriented loops.

A switching identity for cable-graph loop soups and Gaussian free fields On the spatial Markov property of soups of unoriented and oriented loops

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.261037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.964665Z digest=sha256:14d533db33e38d9e58b790cab1cf6a5e1d823851e4a074911e49ad3d3c1bcfb1

Observation 7efd0c4c-e66b-4e61-846b-f2b2ce0009f3 · outbound

This paper cites On clusters of Brownian loops in d dimensions.

A switching identity for cable-graph loop soups and Gaussian free fields On clusters of Brownian loops in d dimensions

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.250779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.967467Z digest=sha256:4e0e74d6c4c9656b6dddc1ea4e238431a7b66f62d81de6c74f5c07e8f22070bc

Observation 8eba6315-6df7-4cc9-be35-d5ef36a95010 · outbound

This paper cites Loop-soup percolation in high dimensions.

A switching identity for cable-graph loop soups and Gaussian free fields Loop-soup percolation in high dimensions

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.240774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.970568Z digest=sha256:211976f8c510468c22248b066fe1d5260d18055cdce3868ef15def942e8d5184

Observation 4d9b9c71-af0b-498f-a6b3-7e687f575db8 · outbound

This paper cites Loop-soup percolation in three (and four) dimensions.

A switching identity for cable-graph loop soups and Gaussian free fields Loop-soup percolation in three (and four) dimensions

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.230412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.974296Z digest=sha256:ba589708208df7a44b98bf04e4ebb86bf9a60100af58cebec5e080612efa29d8

Observation 406a98bb-5e68-4a8c-b771-f32f6cf56e8c · outbound

This paper cites Lecture notes on the Gaussian free field , volume 28 of Cours Sp´ ecialis´ es.

A switching identity for cable-graph loop soups and Gaussian free fields Lecture notes on the Gaussian free field , volume 28 of Cours Sp´ ecialis´ es

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.219916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.977508Z digest=sha256:35563bce1dedf0b89c504966f4cdda401389c8c1ae44d948c75cdc9b01e809a1

Observation 7a1e7195-cf01-492b-ab85-ad760c79fcfa · outbound

This paper cites Some Aspects of Brownian Motion Part I : Some Special Functionals.

A switching identity for cable-graph loop soups and Gaussian free fields Some Aspects of Brownian Motion Part I : Some Special Functionals

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:41:54.210044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T14:41:53.980658Z digest=sha256:bb0f39f3abc72ef3443c34df8f7bc5561a62d97692e25e29a8ab815341ac0d9f

Pith citing papers

Observation b9708e86-5aea-424e-9156-a736592290cf · inbound

On Loops in critical high-dimensional percolation cites this paper.

On Loops in critical high-dimensional percolation A switching identity for cable-graph loop soups and Gaussian free fields

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-06T20:32:39.539694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:32:39.539694Z digest=sha256:0f5bdd485c125dabd11a242465bc9e7fa90f549ef2776355ecc312e863652135

Observation 1cc93ba9-fe1a-4688-bb69-7f4094740f25 · inbound

Generalized intersection exponents and local cut points for three-dimensional Brownian loop soup cites this paper.

Generalized intersection exponents and local cut points for three-dimensional Brownian loop soup A switching identity for cable-graph loop soups and Gaussian free fields

Reference 31

Resolution
verified exact
arxiv_id, observed 2026-05-19T22:47:49.919326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-19T22:44:22.788236Z digest=sha256:89d2b25bd366c6d37d804a47952956effcb535f00f9738318b9e63cb3b17a878

Observation e2607c24-d906-4dd2-9019-b51d3e4f32bd · inbound

Multi-window trace connectivity in subcritical planar Brownian loop soups cites this paper.

Multi-window trace connectivity in subcritical planar Brownian loop soups A switching identity for cable-graph loop soups and Gaussian free fields

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-01T08:03:50.110551Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:03:50.110551Z digest=sha256:c9b57fd2deb26a4b0a6267992c13952d41167b6eb6dbd5121ec25272ccd3529d