Paper Citation Record · LEDGER

Exponential decay for the random connection model using asymptotic transitivity

As of 19 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2509.02310.

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

pith.paper-citation-record.v1
2509.02310 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:50:18.633679Z

measured 13 of 13 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

13 of 13 outbound references displayed

verified exact6
verified fuzzy4
unresolved1
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bab6ba41-2b45-401b-b2d0-78746c57b14d · outbound

This paper cites Noise sensitivity in continuum percolation.

Exponential decay for the random connection model using asymptotic transitivity Noise sensitivity in continuum percolation

Reference 1

Resolution: verified exact; doi, observed 2026-08-15T16:50:18.724741Z

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.

Observation 0892139d-8f07-4a95-8255-c474ee65fbb8 · outbound

This paper cites Large deviations, volume 14 of Fields Institute Mono- graphs.

Exponential decay for the random connection model using asymptotic transitivity Large deviations, volume 14 of Fields Institute Mono- graphs

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:50:19.007236Z

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.

Observation befe6e68-e840-4edc-920a-149a396f362a · outbound

This paper cites The emergence of a giant component in one-dimensional inhomogeneous networks with long- range effects.

Exponential decay for the random connection model using asymptotic transitivity The emergence of a giant component in one-dimensional inhomogeneous networks with long- range effects

Reference 3

Resolution: verified exact; doi, observed 2026-08-15T16:50:18.710152Z

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.

Observation c113176b-0b52-460c-908c-27b4dfef67af · outbound

This paper cites Grimmett and David R.

Exponential decay for the random connection model using asymptotic transitivity Grimmett and David R

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:50:18.993005Z

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.

Observation 088e6f4d-181d-4c25-bdb4-1947e662c483 · outbound

This paper cites Lace Expansion and Mean-Field Behavior for the Random Connection Model.

Exponential decay for the random connection model using asymptotic transitivity Lace Expansion and Mean-Field Behavior for the Random Connection Model

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T16:50:18.597210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d8350a3-33b2-480c-aa58-838fa8975dda · outbound

This paper cites Power-law bounds for critical long-range percolation below the upper-critical dimension.

Exponential decay for the random connection model using asymptotic transitivity Power-law bounds for critical long-range percolation below the upper-critical dimension

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:50:18.979903Z

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.

Observation 23e7e44b-88b5-4097-905b-8b19a5ffd829 · outbound

This paper cites Largest component and sharpness in continuum percolation.

Exponential decay for the random connection model using asymptotic transitivity Largest component and sharpness in continuum percolation

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:50:18.937021Z

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.

Observation d7fe4b93-40be-4a8d-9280-d2b449507749 · outbound

This paper cites Lectures on the Poisson process , volume 7 of Institute of Mathematical Statistics Textbooks.

Exponential decay for the random connection model using asymptotic transitivity Lectures on the Poisson process , volume 7 of Institute of Mathematical Statistics Textbooks

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:50:18.966195Z

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.

Observation 6713877b-26b4-4320-bccc-e8e1dc99698d · outbound

This paper cites An approximation theorem for the Poisson binomial distri- bution.

Exponential decay for the random connection model using asymptotic transitivity An approximation theorem for the Poisson binomial distri- bution

Reference 9

Resolution: verified exact; raw_fallback, observed 2026-08-15T16:50:18.918248Z

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.

Observation 36e86124-d9cb-4087-b325-a7d01fc64109 · outbound

This paper cites Continuum Percolation.

Exponential decay for the random connection model using asymptotic transitivity Continuum Percolation

Reference 10

Resolution: malformed identifier; raw_fallback, observed 2026-08-15T16:50:18.952306Z

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.

Observation a6445389-6554-4b12-b2c5-ba6579543875 · outbound

This paper cites Random walk on the random connection model.

Exponential decay for the random connection model using asymptotic transitivity Random walk on the random connection model

Reference 11

Resolution: malformed identifier; no resolver link, observed 2026-08-15T16:50:18.629279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ddf90b08-84cc-41a2-9e40-1865505c51d3 · outbound

This paper cites Exponential decay of the volume for Bernoulli percolation: a proof via stochastic comparison.

Exponential decay for the random connection model using asymptotic transitivity Exponential decay of the volume for Bernoulli percolation: a proof via stochastic comparison

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:50:18.744281Z

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.

Observation f1cdbf4c-d1ae-4672-b67e-b3281a2befab · outbound

This paper cites an unresolved cited work.

Exponential decay for the random connection model using asymptotic transitivity Unresolved cited work

Reference 2021

Resolution: verified exact; doi, observed 2026-08-15T16:50:18.679084Z

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.

Pith citing papers

No inbound Pith citation observations are available.