Pith. sign in

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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T17:39:53.754204Z digest=sha256:e727119ea16418fc13926104be9a548fccd586d113d30dcc212c85ed5568aded

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T17:39:53.948442Z digest=sha256:871efeb6a355a4aa1ad240fe5f28f5d61d78ebc26767f250402b8b906f5ccb28

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.055621Z digest=sha256:372e8b74f970ef914430c9d866321ade5fcb52573080c5fe741ae294d05bfdc1

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.154567Z digest=sha256:8c2a74f23bdab0df426e596ad7ab9754d50ac8fb937904a249c1d44d320abc3b

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.260312Z digest=sha256:da460170cfb16db19ad4a200b8a6e64855ff08e0d381168a0d3972f8929ab42a

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.370326Z digest=sha256:267f316d8554d9b699409fd41c1a27839e2e1783c5a76f970fa4c356b60f18ba

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.442407Z digest=sha256:329a80a1bfe32e77e40783cef02c57765acf2361fe6d3f7b3cc02219cac578f6

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.615080Z digest=sha256:fa0be9c0e2935116ad484341aeb258b2248f7f029db1282cb1c08a82f4490bf1

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.711778Z digest=sha256:e2706716345e0eb9897a15e5f3337539adb8d07c55b5d36b98cb1f45a7a14f0f

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.787199Z digest=sha256:ee64518193eaa1a9d6a0f257b1a1941451dad7a39a05edc88904b762f5424f0a

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.896257Z digest=sha256:d918e25466b7e06886a77bb2ed5cab3c8f4cfdd9604f310b9c0025a7c70c5ee2

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T17:39:54.993697Z digest=sha256:fbb2b6c6f86eb6f995bdfa9ac82a2b4784e2f026f677746ff85b60059239544b

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.100512Z digest=sha256:b0ca1883f07f2b9ba10ea5520581ad04ebafbb93b1341b583037e82fbd410885

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.202582Z digest=sha256:bbf9995950506bcfae1e173732a56f79b45d5fa30330b5c296f857fe88f8edd6

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.278756Z digest=sha256:d3c93f5e02c21ee95871301442cf714018ff4b626ca7e1e8f7ea6bc2150cb64b

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.357527Z digest=sha256:ad76e2826914f817e0b45f8a000ae8b4c8fd06820eade06c0aed0c0e2d0fcd5b

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.440384Z digest=sha256:700e2aa3511bc2e06b45f433d259d2b704e6382ff54d9cde818e56464b55f40f

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.549666Z digest=sha256:e6a778b740ae4904a9dc8474a69a8f6828938189cf6c0f029e996639c269396a

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.682822Z digest=sha256:0d8036fe43e13811f8d6a4d44f65276a1905d0758c99ead9766c239cde785f1a

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T17:39:55.778119Z digest=sha256:bc30ed279b0e23927c44d625b35fa18dc0a5e62b2d9ae6f90c000add37d4d84c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:19:33.889484Z digest=sha256:5ac944d1a68d9266b3e955767deca9df12937dfcb0fa22bbfcbbd2247c383f20