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Paper Citation Record · LEDGER

Lower bounds on non-random fluctuations in planar first passage percolation

As of 18 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2511.06166.

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

pith.paper-citation-record.v1
2511.06166 v2

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T23:29:04.080992Z

measured 9 of 9 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

9 of 9 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 90168c23-f021-4906-ace1-80f4b25afb63 · outbound

This paper cites and Welsh, D.J.A.

Lower bounds on non-random fluctuations in planar first passage percolation and Welsh, D.J.A

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T23:29:03.587117Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:29:03.587117Z digest=sha256:c4e6e7299edfed87fe19585268e44f89d6b9c3fc119b2e3232af43f57ac35867

Observation 538ad353-0c7b-4e65-8aaa-7d8b7e1c3391 · outbound

This paper cites and Durrett, R.

Lower bounds on non-random fluctuations in planar first passage percolation and Durrett, R

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T23:29:03.648079Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:29:03.648079Z digest=sha256:b22bb7f790760d3b69d5a68b1814302dd16c2ebcc6c0eacb50d4f0a9d236a438

Observation 06fb7e1a-d31e-406a-ad39-889ed238d7bd · outbound

This paper cites (1986)Aspects of first passage percolation.

Lower bounds on non-random fluctuations in planar first passage percolation (1986)Aspects of first passage percolation

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T23:29:03.794742Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:29:03.794742Z digest=sha256:532d1f33f1f51358e2ff06b72d6a7b36db1a8645c27916ab81fe8875d2978c01

Observation c068ff85-98c1-4c0b-9e97-45f2b60ada72 · outbound

This paper cites an unresolved cited work.

Lower bounds on non-random fluctuations in planar first passage percolation Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-03T23:29:03.835157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:29:03.835157Z digest=sha256:69456aa21bd8e07c825642ff49997bff99ec232bc23696bb9e012d9ba61e8865

Observation 978fd2a4-af5f-4eb6-af21-779b6bbb9687 · outbound

This paper cites and Hanson, J.

Lower bounds on non-random fluctuations in planar first passage percolation and Hanson, J

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-03T23:29:03.892751Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:29:03.892751Z digest=sha256:1745308cb05f907b60b9145ff3229acda53befe4bc79cc204715fb57d60bf175

Observation 4d36b172-386c-4ef7-8ad1-3160072fb7f0 · outbound

This paper cites (2020)Lower bounds for fluctuations in first-passage percolation for general distributions.

Lower bounds on non-random fluctuations in planar first passage percolation (2020)Lower bounds for fluctuations in first-passage percolation for general distributions

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T23:29:03.935448Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:29:03.935448Z digest=sha256:5b2f2df0b0954a01062cbdc767605d780af289a21174bcbd53e00581c9b16e30

Observation fe8343a7-16ac-4b17-8edb-c85e1bfbb039 · outbound

This paper cites (2021)Divergence of non-random fluctuation for Euclidean first-passage percolation.

Lower bounds on non-random fluctuations in planar first passage percolation (2021)Divergence of non-random fluctuation for Euclidean first-passage percolation

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-03T23:29:03.987977Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:29:03.987977Z digest=sha256:18b04043ae77120ad6cbb5bc51d4767a71e3d2f0e2d70c182357cbf402b95879

Observation dc03a32d-e857-45ba-8d74-5049be6ec8c8 · outbound

This paper cites (2024)Coalescence of geodesics and the BKS midpoint problem in planar first-passage percolation.

Lower bounds on non-random fluctuations in planar first passage percolation (2024)Coalescence of geodesics and the BKS midpoint problem in planar first-passage percolation

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-03T23:29:04.032671Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:29:04.032671Z digest=sha256:a16dcfc419d74a2410143cffa0fcaec9d3d5bf1172025d65cc6d6ecff05995e7

Observation e6fd07db-8c50-465e-916a-5e67221c986b · outbound

This paper cites Noise sensitivity and variance lower bound for minimal left-right crossing of a square in first-passage percolation.

Lower bounds on non-random fluctuations in planar first passage percolation Noise sensitivity and variance lower bound for minimal left-right crossing of a square in first-passage percolation

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-03T23:29:04.080992Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:29:04.080992Z digest=sha256:bd359715d55c762b3925e837048e15fd72b919ea4150936d0fd4badd620ecdd3

Pith citing papers

No inbound Pith citation observations are available.