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Paper Citation Record · LEDGER

The percolation energy field and its logarithmic partner

As of 11 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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T17:39:53.754204Z digest=sha256:ccaa0daa9113d23d00a5a77bbf6aab8e0761fe062ea47429b09be3f6e62f0185

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:d35df9e87c0340523fd9483d7e802cb620cc40f0f8f67d3d1ecc04e71b1e3ee0

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T17:39:53.948442Z digest=sha256:0d9aa99a6e381bd757c6fe2669e1b9a336af9f4f530aaf3147adad5d2f63f086

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.055621Z digest=sha256:8ad77bd6bcc371409e951a99a42de1d00cf855f3c36d1911971017fd648ab383

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.154567Z digest=sha256:6b156d69494421ea831b470bf61d7e2312bac0b5824bfc6570f5798690990870

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.260312Z digest=sha256:312b257a261ceeacb3629d611bcc131907638b6151edcb5a338ae4715127f3b4

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.370326Z digest=sha256:3a0354a0912d7a473483d53e62c4628f1bb41e120657fcd0acd95aff06032c95

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.442407Z digest=sha256:0fa322678435ba36086f4ebcb295f7aa1b26d2fb5111f51ccd7470f65bb7ec65

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=sha256:6432f277d3e2d01c38baad38f5473ca8e4a287d64ec1555df3a322220fc50871

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.615080Z digest=sha256:37bb41839a64de45c90ffc30bb4013599f1f610a0c03312be3e35d1eaaf1f38f

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.711778Z digest=sha256:27d62e9e54d59a06c8652d450b1239dc072f725f047c291671b99deb5d13932d

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.787199Z digest=sha256:634418beb683887bb70ec58f315b48b308f78e10b5381c141494f0f58bc956fc

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.896257Z digest=sha256:8620ce888e5d1dba36c5e3c4dff891457409f989615fce1f7af63a0c5e0ef207

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.993697Z digest=sha256:82521202928fa9814231b7822be1d433226a6ae0f87a5978eb1c187c59d32f64

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.100512Z digest=sha256:700715c13b45205513e609d12dfdf3243db6a0b8a3816dda53e40defdf3f1b12

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.202582Z digest=sha256:7b3e6314c442b8d720fdb23546689581ace4479e596c251e3587268cb00c8144

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.278756Z digest=sha256:28d188f3a26c2499d66421557fca605132bc02b88eb881a89e156e6949ab7eb2

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.357527Z digest=sha256:7b495898b2df63ba87ddd1c02e945024997a44f1bdd0790bf32cec5cb44d9bc7

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.440384Z digest=sha256:e496df9db6a65df7f79ef0a5737ad9b18ee2704d99b7115465664dbdf819aeaa

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.549666Z digest=sha256:5ed07873a4e8fdacdf4e01346be4566e6631d31c2508cedc9211e18405729aec

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.682822Z digest=sha256:a736d8b1aa01dc6a2ebb7c4bbca770632312e96de5dc60edebaf38f274b5df0a

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.778119Z digest=sha256:837b090dab997f8c478c96ae2b714dd89cbac848a96c1070d456849663070627

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:19:33.889484Z digest=sha256:8cd348531e2b27ee9cbe7870843e92f7b6f64dc12993065edccb5ba04b216071