Paper Citation Record · LEDGER

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

As of 19 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2505.03211.

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

pith.paper-citation-record.v1
2505.03211 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:11:47.721471Z

measured 18 of 18 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

17 of 17 outbound references displayed

verified exact2
verified fuzzy12
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bdb9fe91-1473-4605-904c-a34891ade2bb · outbound

This paper cites Is 'being above the median' a noise sensitive property?.

Noise sensitivity and variance lower bound for minimal left-right crossing of a square in first-passage percolation Is 'being above the median' a noise sensitive property?

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:11:47.793961Z

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 e89ff343-3a91-4870-93a5-519606b11df0 · outbound

This paper cites Alexander.

Noise sensitivity and variance lower bound for minimal left-right crossing of a square in first-passage percolation Alexander

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:47.937633Z

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 fb4e3c7b-2263-49f7-bade-e8ece135c9af · outbound

This paper cites The probabilistic method.

Noise sensitivity and variance lower bound for minimal left-right crossing of a square in first-passage percolation The probabilistic method

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:47.927346Z

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 79be86df-240e-49c4-91af-e93e11b59711 · outbound

This paper cites 50 years of first-passage percolation , volume 68 of University Lecture Series.

Noise sensitivity and variance lower bound for minimal left-right crossing of a square in first-passage percolation 50 years of first-passage percolation , volume 68 of University Lecture Series

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:47.917113Z

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 1861bbd1-54b8-46e3-b94e-75dbf9f2ccab · outbound

This paper cites Rotationally invariant first passage percolation: Concentration and scaling relations.

Noise sensitivity and variance lower bound for minimal left-right crossing of a square in first-passage percolation Rotationally invariant first passage percolation: Concentration and scaling relations

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-16T00:11:47.674400Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 45c036a9-bf7b-40f1-a6f4-9f41b7f77979 · outbound

This paper cites Noise sensitivity of boolean functions and applications to percolation.

Noise sensitivity and variance lower bound for minimal left-right crossing of a square in first-passage percolation Noise sensitivity of boolean functions and applications to percolation

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:47.906501Z

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 0da0c7aa-0217-4231-b971-6f099a40bc3d · outbound

This paper cites Theodore Cox and Richard Durrett.

Noise sensitivity and variance lower bound for minimal left-right crossing of a square in first-passage percolation Theodore Cox and Richard Durrett

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:47.897444Z

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 c7c04f0e-e9da-48b2-a214-c6ba3bf8e759 · outbound

This paper cites Fluctuation bounds for first-passage perco- lation on the square, tube, and torus.

Noise sensitivity and variance lower bound for minimal left-right crossing of a square in first-passage percolation Fluctuation bounds for first-passage perco- lation on the square, tube, and torus

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:47.888612Z

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 d9eeae94-c437-4f96-9378-49d7c8a4e176 · outbound

This paper cites Minimal surfaces in random environment.

Noise sensitivity and variance lower bound for minimal left-right crossing of a square in first-passage percolation Minimal surfaces in random environment

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-16T00:11:47.688923Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e196fdef-f1d6-40df-8b99-5e728d64bc10 · outbound

This paper cites Coalescence of geodesics and the bks midpoint problem in planar first-passage percolation.

Noise sensitivity and variance lower bound for minimal left-right crossing of a square in first-passage percolation Coalescence of geodesics and the bks midpoint problem in planar first-passage percolation

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:47.879530Z

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 7a711db9-8256-4a2c-a4e9-7f9ec5aa46a4 · outbound

This paper cites On the influence of edges in first-passage percolation on z d.

Noise sensitivity and variance lower bound for minimal left-right crossing of a square in first-passage percolation On the influence of edges in first-passage percolation on z d

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:47.869853Z

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 261d6061-f331-476f-a6f8-20ec0fc136d0 · outbound

This paper cites Small ball probabilities for the passage time in planar first-passage percolation.

Noise sensitivity and variance lower bound for minimal left-right crossing of a square in first-passage percolation Small ball probabilities for the passage time in planar first-passage percolation

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:11:47.757483Z

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 acc22e42-4b3f-46d1-963e-50019d165400 · outbound

This paper cites an unresolved cited work.

Noise sensitivity and variance lower bound for minimal left-right crossing of a square in first-passage percolation Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:47.856522Z

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 f3325856-f17f-4a9d-88c5-37a16e2df6a4 · outbound

This paper cites Aspects of first passage percolation.

Noise sensitivity and variance lower bound for minimal left-right crossing of a square in first-passage percolation Aspects of first passage percolation

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:47.844461Z

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 5eb10a7d-825a-47ca-b28e-420a990c4838 · outbound

This paper cites Strict inequalities for the time constant in first passage percolation.

Noise sensitivity and variance lower bound for minimal left-right crossing of a square in first-passage percolation Strict inequalities for the time constant in first passage percolation

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:47.832126Z

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 67c2057c-b764-45bc-b63c-f7e391157c1f · outbound

This paper cites Concentration of measure and isoperimetric inequalities in product spaces.

Noise sensitivity and variance lower bound for minimal left-right crossing of a square in first-passage percolation Concentration of measure and isoperimetric inequalities in product spaces

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:47.818624Z

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 399992a4-7f45-4daa-b3a5-79048a8e3143 · outbound

This paper cites Inequalities for the time constant in first-passage percolation.

Noise sensitivity and variance lower bound for minimal left-right crossing of a square in first-passage percolation Inequalities for the time constant in first-passage percolation

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:47.806190Z

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 e6fd07db-8c50-465e-916a-5e67221c986b · inbound

Lower bounds on non-random fluctuations in planar first passage percolation cites this paper.

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.