Paper Citation Record · LEDGER

Convergence of $k$-point functions in high dimensional percolation

As of 19 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 3 inbound Pith citation observations for arXiv:2604.08462.

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

pith.paper-citation-record.v1
2604.08462 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T17:10:36.746253Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:40:39.471782Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T20:32:39.863272Z

Reference resolution

20 of 20 outbound references displayed

verified exact4
verified fuzzy9
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c4bf38ea-e8b5-4d12-ba69-ec3a84471a5d · outbound

This paper cites and Newman, C.,Tree graph inequalities and critical behavior in percolation models.

Convergence of $k$-point functions in high dimensional percolation and Newman, C.,Tree graph inequalities and critical behavior in percolation models

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T11:44:33.055328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 74a52a68-5a16-4e37-bdef-a43ba1c3597a · outbound

This paper cites The van den Berg–Kesten–Reimer operator and inequality for infinite spaces.

Convergence of $k$-point functions in high dimensional percolation The van den Berg–Kesten–Reimer operator and inequality for infinite spaces

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T11:44:33.069997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1a518be3-4edc-47cb-b10d-4df378dd4855 · outbound

This paper cites Preprint.

Convergence of $k$-point functions in high dimensional percolation Preprint

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-05-11T07:26:02.782346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d007d700-1b17-41fb-ab66-aee5a08930f8 · outbound

This paper cites and Sosoe, P.,Subcritical Connectivity and Some Exact Tail Exponents in High Dimensional Percolation.

Convergence of $k$-point functions in high dimensional percolation and Sosoe, P.,Subcritical Connectivity and Some Exact Tail Exponents in High Dimensional Percolation

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T11:44:33.063985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0e695d9c-86b2-4c10-9fad-dd5684e1d869 · outbound

This paper cites and Sosoe, P.,Robust construction of the incipient infinite cluster in high dimensional critical percolation.

Convergence of $k$-point functions in high dimensional percolation and Sosoe, P.,Robust construction of the incipient infinite cluster in high dimensional critical percolation

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T11:44:33.072668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a53fd26b-3ab2-438d-8bce-c909f6aaf966 · outbound

This paper cites and Sosoe, P.,Limiting distribution of the chemical distance in high dimensional critical percolation.

Convergence of $k$-point functions in high dimensional percolation and Sosoe, P.,Limiting distribution of the chemical distance in high dimensional critical percolation

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-11T07:26:02.821187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e1f50607-a654-40a5-b37e-559f7da718e6 · outbound

This paper cites Preprint: 2510.21595.

Convergence of $k$-point functions in high dimensional percolation Preprint: 2510.21595

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-11T07:26:02.792089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation df82d96d-66e4-43ba-a224-a28f7564e7e0 · outbound

This paper cites and van der Hofstad, R.Mean-field behavior for nearest-neighbor percolation ind >10, Electron.

Convergence of $k$-point functions in high dimensional percolation and van der Hofstad, R.Mean-field behavior for nearest-neighbor percolation ind >10, Electron

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T11:44:33.052113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fc30075f-b986-4192-967f-629eb4eaf1af · outbound

This paper cites To appear, Probab.

Convergence of $k$-point functions in high dimensional percolation To appear, Probab

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T11:44:33.043695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 82b755d8-e2e6-4fab-8244-d08997cffc8e · outbound

This paper cites an unresolved cited work.

Convergence of $k$-point functions in high dimensional percolation Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-05-17T11:44:33.035914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation af3fbcbc-c0df-482e-ae04-fc6885707bdc · outbound

This paper cites an unresolved cited work.

Convergence of $k$-point functions in high dimensional percolation Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-05-17T11:44:33.058152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d89d771c-4fbc-4e39-b3d4-a49cad1fd83a · outbound

This paper cites an unresolved cited work.

Convergence of $k$-point functions in high dimensional percolation Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-05-17T11:44:33.038368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5e4b7a06-85e3-4418-8ebc-07ae89a353ed · outbound

This paper cites and van der Hofstad, R.Critical two-point functions and the lace expansion for spread-out high-dimensional percolation and related models.Ann.

Convergence of $k$-point functions in high dimensional percolation and van der Hofstad, R.Critical two-point functions and the lace expansion for spread-out high-dimensional percolation and related models.Ann

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T11:44:33.049100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 685c6ee5-9726-4e23-a45f-01842fcd1dca · outbound

This paper cites an unresolved cited work.

Convergence of $k$-point functions in high dimensional percolation Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-05-17T11:44:33.046278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d99b0fc2-fd07-45d8-a21e-b46018100439 · outbound

This paper cites an unresolved cited work.

Convergence of $k$-point functions in high dimensional percolation Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-05-17T11:44:33.033224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0429dbb1-2ebb-4662-8827-3c27fd5d71ab · outbound

This paper cites and J´ arai, A.A.The incipient infinite cluster for high-dimensional unoriented percolation.J.

Convergence of $k$-point functions in high dimensional percolation and J´ arai, A.A.The incipient infinite cluster for high-dimensional unoriented percolation.J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T11:44:33.040986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 348cbfea-c7f0-4cfe-86bf-96b13ae226be · outbound

This paper cites an unresolved cited work.

Convergence of $k$-point functions in high dimensional percolation Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-05-17T11:44:33.060857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6d74b0fb-03e7-45c4-aed0-e0a09b2dc988 · outbound

This paper cites Critical long-range percolation I: High effective dimension.

Convergence of $k$-point functions in high dimensional percolation Critical long-range percolation I: High effective dimension

Reference 18

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T07:26:02.807402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e37e5493-338b-46e5-ab7a-4ae29b21aff1 · outbound

This paper cites arXiv preprint 2510.03951.

Convergence of $k$-point functions in high dimensional percolation arXiv preprint 2510.03951

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-05-11T07:26:02.830435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation df6d6c9a-20fe-4fdb-ba94-d73ad8a7365d · outbound

This paper cites and Nachmias, A.Arm exponents in high dimensional percolation.J.

Convergence of $k$-point functions in high dimensional percolation and Nachmias, A.Arm exponents in high dimensional percolation.J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T11:44:33.066957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation 5fa75f40-d1c5-4412-aa40-fa675cf8f722 · inbound

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

On Loops in critical high-dimensional percolation Convergence of $k$-point functions in high dimensional percolation

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-06T20:32:39.866540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 949a3628-0595-4255-950f-bc84764007c6 · inbound

Super-Brownian limits and the $k$-point function for high-dimensional percolation cites this paper.

Super-Brownian limits and the $k$-point function for high-dimensional percolation Convergence of $k$-point functions in high dimensional percolation

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T05:00:16.667953Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 922284e2-6e4c-467e-b319-eec60411a8d5 · inbound

Range convergence and sharp one-arm asymptotics for the critical percolation cluster in high dimensions cites this paper.

Range convergence and sharp one-arm asymptotics for the critical percolation cluster in high dimensions Convergence of $k$-point functions in high dimensional percolation

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T15:40:39.471782Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.