Paper Citation Record · LEDGER

Phase transitions for contact processes on sparse random graphs via metastability and local limits

As of 15 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2505.22471.

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

pith.paper-citation-record.v1
2505.22471 v2

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:26:16.798862Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:31:40.635138Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T21:31:40.884964Z

Reference resolution

31 of 31 outbound references displayed

verified exact11
verified fuzzy4
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ae09fcf0-f94a-4ae8-9a7d-98e9dcab9bd1 · outbound

This paper cites Processes on unimodular random networks.

Phase transitions for contact processes on sparse random graphs via metastability and local limits Processes on unimodular random networks

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T13:26:13.725807Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 838feb08-6e3f-4df4-9037-0e2ae9da05c8 · outbound

This paper cites Barnier, P.

Phase transitions for contact processes on sparse random graphs via metastability and local limits Barnier, P

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:26:20.879804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ff89bbb2-3bef-456f-9ba6-38a85e8d5e36 · outbound

This paper cites Unimodular random t rees.

Phase transitions for contact processes on sparse random graphs via metastability and local limits Unimodular random t rees

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:26:20.777792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c09be316-ff7d-457f-823b-a780964b926f · outbound

This paper cites On the spr ead of viruses on the internet.

Phase transitions for contact processes on sparse random graphs via metastability and local limits On the spr ead of viruses on the internet

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:26:20.615905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 42feff7d-cc62-4123-9d64-ef99e48d3b06 · outbound

This paper cites Exponential decay for sub critical contact and percolation processes.

Phase transitions for contact processes on sparse random graphs via metastability and local limits Exponential decay for sub critical contact and percolation processes

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T13:26:14.194748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 361454e0-6b86-409e-bcaf-e5f5eefad6db · outbound

This paper cites Survival and ex tinction of epidemics on random graphs with general degree.

Phase transitions for contact processes on sparse random graphs via metastability and local limits Survival and ex tinction of epidemics on random graphs with general degree

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T13:26:14.286511Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1f821d84-1456-4059-ba3f-bc93a7b39455 · outbound

This paper cites Super-exponential extinction time of the contact process on random geometric graphs.

Phase transitions for contact processes on sparse random graphs via metastability and local limits Super-exponential extinction time of the contact process on random geometric graphs

Reference 8

Resolution: verified exact; doi, observed 2026-08-07T13:26:18.822276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d4621a38-3df1-4f9e-ade3-32d5535a00dd · outbound

This paper cites Met astable behavior of stochastic dynamics: a pathwise approach.

Phase transitions for contact processes on sparse random graphs via metastability and local limits Met astable behavior of stochastic dynamics: a pathwise approach

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T13:26:14.514373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e498ecb-ebca-4147-bb58-6d6af1871455 · outbound

This paper cites Contact processes in several dimensions.

Phase transitions for contact processes on sparse random graphs via metastability and local limits Contact processes in several dimensions

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:26:20.446269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e82abd21-78c9-44df-ac85-a6087313fcf4 · outbound

This paper cites The contact process on a ﬁnit e set. II.

Phase transitions for contact processes on sparse random graphs via metastability and local limits The contact process on a ﬁnit e set. II

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T13:26:14.871598Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c04769bf-17a8-44f3-9600-73447b4da0e6 · outbound

This paper cites Unusual properties of contact processes on percolated graphs.

Phase transitions for contact processes on sparse random graphs via metastability and local limits Unusual properties of contact processes on percolated graphs

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:26:20.103005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2fdd3208-677b-4b5a-a21f-be8046186893 · outbound

This paper cites Ergodic theorems for graph interactions.

Phase transitions for contact processes on sparse random graphs via metastability and local limits Ergodic theorems for graph interactions

Reference 14

Resolution: verified exact; doi, observed 2026-08-07T13:26:18.434108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e3e9c105-fea8-48dd-a97d-56033da49e29 · outbound

This paper cites The basic contact processes.

Phase transitions for contact processes on sparse random graphs via metastability and local limits The basic contact processes

Reference 15

Resolution: verified exact; doi, observed 2026-08-07T13:26:18.233002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c8e89dde-5794-4ab3-b451-11b1eb68a297 · outbound

This paper cites The binary contact path process.

Phase transitions for contact processes on sparse random graphs via metastability and local limits The binary contact path process

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T13:26:15.237374Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b9952d0-336f-41ee-b859-01b336d42e95 · outbound

This paper cites Contact interactions on a lattice.

Phase transitions for contact processes on sparse random graphs via metastability and local limits Contact interactions on a lattice

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T13:26:15.301818Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b452bde3-d821-4b9f-9819-177f973a15b7 · outbound

This paper cites van der Hofstad.

Phase transitions for contact processes on sparse random graphs via metastability and local limits van der Hofstad

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T13:26:15.389280Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e64fa12-0213-4187-98c8-1884c4fa52e9 · outbound

This paper cites van der Hofstad.

Phase transitions for contact processes on sparse random graphs via metastability and local limits van der Hofstad

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T13:26:15.459899Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22277899-4635-4f53-99b2-279ef5a6c6f9 · outbound

This paper cites The contact process on random graph s and Galton Watson trees.

Phase transitions for contact processes on sparse random graphs via metastability and local limits The contact process on random graph s and Galton Watson trees

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T13:26:15.575289Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 11e3f27e-f05d-4ee2-92c8-b35ac349cd7c · outbound

This paper cites Phase transitions for contact processes on one-dimensional networks.

Phase transitions for contact processes on sparse random graphs via metastability and local limits Phase transitions for contact processes on one-dimensional networks

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T13:26:15.670110Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48833584-102c-42df-9b72-1797e1e1ad5b · outbound

This paper cites Local weak convergence f or sparse networks of interacting processes.

Phase transitions for contact processes on sparse random graphs via metastability and local limits Local weak convergence f or sparse networks of interacting processes

Reference 22

Resolution: verified exact; doi, observed 2026-08-07T13:26:18.030579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5394ae1c-b157-4468-be6a-f41844813f51 · outbound

This paper cites Contact processes on random regular gra phs.

Phase transitions for contact processes on sparse random graphs via metastability and local limits Contact processes on random regular gra phs

Reference 23

Resolution: verified exact; doi, observed 2026-08-07T13:26:17.841689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e6df8c3b-cc56-41c9-8ae2-11e992b7aba0 · outbound

This paper cites an unresolved cited work.

Phase transitions for contact processes on sparse random graphs via metastability and local limits Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T13:26:16.077656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5fa12ce-40ee-426d-814b-1314c1c68718 · outbound

This paper cites an unresolved cited work.

Phase transitions for contact processes on sparse random graphs via metastability and local limits Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T13:26:16.194492Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f38e900-4e71-42e0-aec7-9b424052ce60 · outbound

This paper cites The contact process on random hyperbolic graphs: metastability and critical exponents.

Phase transitions for contact processes on sparse random graphs via metastability and local limits The contact process on random hyperbolic graphs: metastability and critical exponents

Reference 26

Resolution: verified exact; doi, observed 2026-08-07T13:26:17.626452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 359d02a8-51eb-42df-91b0-9f0a9e05913d · outbound

This paper cites Lüchtrath.

Phase transitions for contact processes on sparse random graphs via metastability and local limits Lüchtrath

Reference 27

Resolution: verified exact; raw_fallback, observed 2026-08-07T13:26:19.425930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a8465972-6755-4f7c-9584-e19e5a44648a · outbound

This paper cites Critical value asymptotic s for the contact process on random graphs.

Phase transitions for contact processes on sparse random graphs via metastability and local limits Critical value asymptotic s for the contact process on random graphs

Reference 28

Resolution: verified exact; doi, observed 2026-08-07T13:26:17.316108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4040649b-21c3-4f80-b6f5-cf24487cb127 · outbound

This paper cites Subcritical epidemics on random gra phs.

Phase transitions for contact processes on sparse random graphs via metastability and local limits Subcritical epidemics on random gra phs

Reference 29

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T13:26:19.129085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation aaa462f9-b9ae-4335-b4c2-6015e9c2be50 · outbound

This paper cites Extinction time for the contac t process on general graphs.

Phase transitions for contact processes on sparse random graphs via metastability and local limits Extinction time for the contac t process on general graphs

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-07T13:26:16.648990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 791824ee-1d45-4977-b91a-855a0e70347f · outbound

This paper cites The contact process on random graphs.

Phase transitions for contact processes on sparse random graphs via metastability and local limits The contact process on random graphs

Reference 31

Resolution: verified exact; doi, observed 2026-08-07T13:26:17.114433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 560785ac-41e6-4057-8115-e82683aa2c2e · outbound

This paper cites an unresolved cited work.

Phase transitions for contact processes on sparse random graphs via metastability and local limits Unresolved cited work

Reference 373

Resolution: unresolved; no resolver link, observed 2026-08-07T13:26:13.917964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed34164c-9526-42c8-8552-6d63c27ded2e · outbound

This paper cites an unresolved cited work.

Phase transitions for contact processes on sparse random graphs via metastability and local limits Unresolved cited work

Reference 552

Resolution: verified exact; doi, observed 2026-08-07T13:26:18.657513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

Observation d858adc4-b1e4-47d6-af83-60060bf3714b · inbound

Oriented bond-site percolation in random environment and contact processes with periodic recovery cites this paper.

Oriented bond-site percolation in random environment and contact processes with periodic recovery Phase transitions for contact processes on sparse random graphs via metastability and local limits

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:31:40.887446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.