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Paper Citation Record · LEDGER

The percolation energy field and its logarithmic partner

As of 8 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2508.16047.

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

pith.paper-citation-record.v1
2508.16047 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T17:39:55.778119Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T16:19:33.889484Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T16:19:34.357892Z

Reference resolution

22 of 22 outbound references displayed

  • verified exact1
  • verified fuzzy12
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bca52212-0426-4bce-b383-d01f508e0f9b · outbound

This paper cites Conformal covariance of connection probabilities and fields in 2 D critical percolation.

The percolation energy field and its logarithmic partner Conformal covariance of connection probabilities and fields in 2 D critical percolation

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:39:59.295702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:39:53.754204Z digest=sha256:0a05d91fa039582d79e42136adfe4979d2b04c94729bf14631b45fced99e4195

Observation a002e349-b70f-4e74-b2aa-dc999716d9ad · outbound

This paper cites Conformally covariant probabilities, operator product expansions, and logarithmic correlations in two-dimensional critical percolation.

The percolation energy field and its logarithmic partner Conformally covariant probabilities, operator product expansions, and logarithmic correlations in two-dimensional critical percolation

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-05T17:39:53.841475Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:39:53.841475Z digest=sha256:d3db8d9c7a36a1ac1d9f3249061b3066700d27d08d6b082ce5f3c84937b67819

Observation 744325f4-4f56-4ea4-9184-b0be6e5fb71f · outbound

This paper cites Logarithmic correlation functions in 2 D critical percolation.

The percolation energy field and its logarithmic partner Logarithmic correlation functions in 2 D critical percolation

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:39:59.133074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:39:53.948442Z digest=sha256:0f8cc31d6fe8d4bbe1d656fd30f240a84bd81501d88f02eb6e4f24999cab7ad0

Observation 4a5c9910-5d47-4e5f-a185-dce6b00fa16b · outbound

This paper cites Foit, Alberto Gandolfi, and Matthew Kleban.

The percolation energy field and its logarithmic partner Foit, Alberto Gandolfi, and Matthew Kleban

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:39:58.959294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.055621Z digest=sha256:aa1a7fa43abe216e32fb32db7ca341d330b753f03045415fb4906d5ad7db1a9e

Observation 589085b8-2a31-47c8-bbea-11490cee0b46 · outbound

This paper cites an unresolved cited work.

The percolation energy field and its logarithmic partner Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-05T17:39:58.780915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.154567Z digest=sha256:58378dd30d4637e44b89fda9fa77b9b75c410b200978fc9854b04acc9a181efc

Observation c4a6c891-adb5-4cb7-9b03-6f8cf144fca4 · outbound

This paper cites an unresolved cited work.

The percolation energy field and its logarithmic partner Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-05T17:39:58.598231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.260312Z digest=sha256:8fddbac52e08f9342b00e4f00dec2fc4ceda0ea792c7c6f3d0aeab3bb51134c4

Observation 934993d0-8ef8-4144-a03a-95e9564f67ed · outbound

This paper cites Conformal invariance of spin correlations in the planar I sing model.

The percolation energy field and its logarithmic partner Conformal invariance of spin correlations in the planar I sing model

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:39:58.444619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.370326Z digest=sha256:7a2f722bf861d466938dfd6ff4e9984045c3effb2763d815dfdde86ad4ddabf6

Observation cb6fce6c-cd0d-4a5c-bbe5-b5216afd0a68 · outbound

This paper cites an unresolved cited work.

The percolation energy field and its logarithmic partner Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-05T17:39:58.314615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.442407Z digest=sha256:d5eb7c58af0183439de97996acea431052acb2f3e127eaf8faefede093df8785

Observation 22ffe65a-2c84-4a99-9026-fb77f5c63f04 · outbound

This paper cites an unresolved cited work.

The percolation energy field and its logarithmic partner Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-05T17:39:54.524243Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:39:54.524243Z digest=sha256:924ae24c2afaaf126936d7415c3fee3ad9f01566a91509ed9d0e596e8142acb2

Observation 74cebe7d-a100-432c-8cda-e07ef7c7659a · outbound

This paper cites an unresolved cited work.

The percolation energy field and its logarithmic partner Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-05T17:39:58.118325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.615080Z digest=sha256:10dd38e77b2ed58077c1468dc1c3de154c03a754da00db37ed8a9cf4af6b6186

Observation d3b054bb-ba77-4d25-990b-0cb59ccb9b5f · outbound

This paper cites an unresolved cited work.

The percolation energy field and its logarithmic partner Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-05T17:39:57.922364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.711778Z digest=sha256:5ab09730c2e77407874ef1be0d6eac5c380844f5ce9d6e76896fa72bcc280b69

Observation 1219ecdd-9ae7-4d12-9808-82c6888a3963 · outbound

This paper cites an unresolved cited work.

The percolation energy field and its logarithmic partner Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-05T17:39:57.751229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.787199Z digest=sha256:ead3f72724f46f00e9668fd86bd1e648f5a760209c8a20ae660cb0d7cf252863

Observation 9675c481-8887-4889-a6c2-d8b63014513a · outbound

This paper cites Logarithmic conformal field theory: beyond an introduction.

The percolation energy field and its logarithmic partner Logarithmic conformal field theory: beyond an introduction

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:39:57.563481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.896257Z digest=sha256:fe83d581d6e295967cd153f988abea2921b547cc8fd0ef7cf5a2f1e0d839254f

Observation 489f9498-4cfc-4022-bf1b-751bc9f05c8c · outbound

This paper cites Sharp A symptotics for A rm P robabilities in C ritical P lanar P ercolation.

The percolation energy field and its logarithmic partner Sharp A symptotics for A rm P robabilities in C ritical P lanar P ercolation

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:39:57.401151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.993697Z digest=sha256:7a4ac73f0defa0e9b7f952c5c5441b692893c69a0db8b4e6dd931dc8fc2397b1

Observation 6a9f912e-16a8-4a56-8123-738ce734d118 · outbound

This paper cites Energy field of critical I sing model and examples of singular fields in QFT , 2025.

The percolation energy field and its logarithmic partner Energy field of critical I sing model and examples of singular fields in QFT , 2025

Reference 15

Resolution
verified exact
raw_fallback, observed 2026-08-05T17:39:56.101915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.100512Z digest=sha256:e5f8535d589b748466639bd0a60e6b20abfb4600a5a8d1fd432a56acfa5612b6

Observation 97b74bd5-b2aa-4b48-b9cd-14e8fd24d021 · outbound

This paper cites Conformal invariance of CLE _ on the R iemann sphere for (4, 8).

The percolation energy field and its logarithmic partner Conformal invariance of CLE _ on the R iemann sphere for (4, 8)

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:39:57.209359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.202582Z digest=sha256:c7e6980d15edf087dbe9a5c6688e2f39935c55385ae107cfbab9e4b57cf0cda4

Observation eb6b04f2-8852-46b2-91e5-778117cb5c44 · outbound

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

The percolation energy field and its logarithmic partner Pivotal, cluster, and interface measures for critical planar percolation

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:39:57.047177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.278756Z digest=sha256:d26c467b9e5f2f9dccf1772c796b6fa5d8f4495aadd0627bb6a1145c082946ac

Observation dfedf1a3-c6c3-4ee3-b3f6-5ca80d112f4f · outbound

This paper cites an unresolved cited work.

The percolation energy field and its logarithmic partner Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-05T17:39:56.860251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.357527Z digest=sha256:933b4d9b27757fdd69d631bff728579fb19cb0d7cd4e9e598c5262c20fd11c3d

Observation 3ed69f30-4a17-4701-91ca-d067ae3485cf · outbound

This paper cites The energy density in the planar I sing model.

The percolation energy field and its logarithmic partner The energy density in the planar I sing model

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:39:56.713785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.440384Z digest=sha256:a4bd4fbe05e0487f2a51537a48abf17ff45f87f15d0b53cd3830bd98789926f0

Observation ac9f5db3-f93e-498c-af27-628f92a57ab0 · outbound

This paper cites Near-critical percolation in two dimensions.

The percolation energy field and its logarithmic partner Near-critical percolation in two dimensions

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:39:56.592540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.549666Z digest=sha256:808ed6857f8a24c9938526fb6121fa6de5d7b96add68b5318eee9a149e6c8a42

Observation 0ba3a96a-9cbb-43cd-82df-529da13f63d5 · outbound

This paper cites Critical percolation in the plane: conformal invariance, C ardy's formula, scaling limits.

The percolation energy field and its logarithmic partner Critical percolation in the plane: conformal invariance, C ardy's formula, scaling limits

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:39:56.418255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.682822Z digest=sha256:5a7075f7c1a0e8e7c73ca410076ab0813832ae13b32d39c3658075d0e889b3be

Observation 41d815c6-bfde-4caf-a6b2-a9403e7a3a3d · outbound

This paper cites Critical exponents for two-dimensional percolation.

The percolation energy field and its logarithmic partner Critical exponents for two-dimensional percolation

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:39:56.249153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.778119Z digest=sha256:477d72bd477de8f5be94b98043ce1afb5c5b9e9d561c2996ab05c195a4751511

Pith citing papers

Observation b6edfc73-62e7-4e71-8fb9-c740ed839121 · inbound

Critical long-range percolation II: Low effective dimension cites this paper.

Critical long-range percolation II: Low effective dimension The percolation energy field and its logarithmic partner

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-05T16:19:34.361729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:19:33.889484Z digest=sha256:e6e238a5a9cd459167016404251ccdf0262696519bb84a64d9570e94bd6d2443