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Paper Citation Record · LEDGER

Exponential decay for the random connection model using asymptotic transitivity

As of 16 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T16:50:18.578307Z digest=sha256:b819a864dc24924ac47d146305645eac74d263ea81b5b3fb846a04a74374b353

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T16:50:18.583849Z digest=sha256:6670e5509be7ecb443aa6110a8184a34c9aeab88eb0ee17166d3bcdff8a4856d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T16:50:18.588057Z digest=sha256:bb131426520adee12013e265350f6df5fa68b3769ea9979b158ae2dc8162c542

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T16:50:18.592597Z digest=sha256:27fd0a200514453bae33977abc72716f24221b3f990ad18e415881a0fd07060d

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.

source=pdf_text observed=2026-08-15T16:50:18.597210Z digest=sha256:277e71f9c7b99ff60fa6bd825f439efe658c81ec13ad032bfbce82040f869f13

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T16:50:18.602394Z digest=sha256:24c57b798b6cd6a35204ba44b10c524f0d3d70057cb4e3077389d85965354ef8

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T16:50:18.611454Z digest=sha256:1828d41f3bbe542abb021d59219b26e2159ed14b4ed17926df71af2d65fdbb60

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T16:50:18.616876Z digest=sha256:1f942b0ef75b44a7953567cfb71e61045e28b79ed7db6782a24f077519e4397f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T16:50:18.621102Z digest=sha256:30657f8c738e052e20f206bf40742a719f30ebfd3390803a8fb727e561fa1c50

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T16:50:18.625258Z digest=sha256:8d388442df90b3716c4159f327f14a5ca657a65e0efee9346ab518c0a4491f33

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.

source=pdf_text observed=2026-08-15T16:50:18.629279Z digest=sha256:cd44bd760f376bb6f2503c8b306edd2069f290275270e80d46a2cf8feeb03730

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T16:50:18.633679Z digest=sha256:42b969e66dbdbed6236ceba9437af7e4ea88ecab7d12e5bed823c14783669d08

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T16:50:18.606936Z digest=sha256:83622d265411eef92027c84c17588ee5ad11f311287cdd2ba433ac47f370ae18

Pith citing papers

No inbound Pith citation observations are available.