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Paper Citation Record · LEDGER

The percolation energy field and its logarithmic partner

As of 19 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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T17:39:53.754204Z digest=sha256:c186dfa7d6088513328259201bf7f415abd72a3987da31bc300358baf229eb01

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=sha256:55401362b64e60eceb5c941b1276927f6972a7a430e01d75700f5da01c11824a

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T17:39:53.948442Z digest=sha256:3bfc5688fbd42ba0fc2dbe029a68f109ed735af81ae6e7d7709b23b9d382c4ab

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.055621Z digest=sha256:603101d4828d0b234f4754f982ba35c5d93ea18836d0943a79de29aae54c06f0

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.154567Z digest=sha256:9e14307133ae623103004bc5f6c2116187218cb39e3ceed6c82f514580e15a06

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.260312Z digest=sha256:264524dbbd1a0a820119c2024eea18208c666faba05df9ec9a5061d12128d5ca

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.370326Z digest=sha256:5327c5cff5a0b66c7d3174e49974472f95f8448287dadfc9705e8945112d246d

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.442407Z digest=sha256:46d4e083314c060b9eda688a964d5314a33b7ab33ce08946b4a73c4d0c2fbcad

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.615080Z digest=sha256:977c82d87009e3546f6306930112ed71aa85cafaa6428eb81c13d9d6a5fb2e90

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.711778Z digest=sha256:79fe00bd60db4e6beecb17b068067eb2bf73b401c230b2dbc105e806fd57fe50

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.787199Z digest=sha256:bb0f23b3ce56a2de4aa59cc62a826ea76628ac5c73f12a976688411a4d8a27a6

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.896257Z digest=sha256:3e578441665cb8650ebe41cf021779e94c7cba52b5d8d1ab84d3b43a02116792

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.993697Z digest=sha256:d7fbea8685cd4621b82a58a1a314d60ef3c625dc1c15618a4254902e3d5899b5

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.100512Z digest=sha256:ec634f3b7674544ed7f9b00d33f53867b20be5c200b8c1f5a428bc7222f00203

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.202582Z digest=sha256:9f2f71bf09eaf87ad3643256d6dc1cf016c128c33b666e4aff0f1a78954f5c90

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.278756Z digest=sha256:c9b8ad94d7512745f984b533e44f1532b7afe81d3ce948f3149548c4a996a73e

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.357527Z digest=sha256:fbb9927a882c005965616e28f8f1860c1739a22c07a571caaa8f00116bd3154d

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.440384Z digest=sha256:c72c58bb352ae7fa9deb46948bcf6f6d32b934c92f3a8592c4e503ce3956505b

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.549666Z digest=sha256:249d773058179d302f87d35b1265bd968a7f925fe2bdd51d8ade89354b14356c

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.682822Z digest=sha256:e93f1e55739bd75087295788749a137e0543aad04a2529a574d9bd8e8acc423f

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.778119Z digest=sha256:abb01d0882665a5bfabc486948358cc500d380fb2acccb5859fd681b723989ee

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T16:19:33.889484Z digest=sha256:570de112a93efb8c2d5b6e8cabb8f7ffc8d9037e28551ffbd1342e43835f80f5