Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T10:27:36.477030Z
Paper Citation Record · LEDGER
As of 19 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 3 inbound Pith citation observations for arXiv:2501.16858.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T10:27:36.477030Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T13:26:15.670110Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-10T08:12:26.612942Z
52 of 52 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 9c764d71-93cc-47ee-b321-60a02dd678d6 · outbound
Phase transitions for contact processes on one-dimensional networks Discontinuity of the percolation density in one-dimensional1/|x− y|2 percolation models
Reference 1
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 e2f5acdd-57c9-4fdf-9a45-e34af3d067e7 · outbound
Phase transitions for contact processes on one-dimensional networks Processes on unimodular random networks
Reference 2
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 10ab2b1a-4e53-412a-8b17-1320c8b2e7d9 · outbound
Phase transitions for contact processes on one-dimensional networks Ergodic theory on stationary random graphs
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1ae1eda1-1768-411e-95e4-35618a2b9be8 · outbound
Phase transitions for contact processes on one-dimensional networks Survival and extinction of epidemics on random graphs with general degree
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 09c78644-afe3-4fc7-a0d6-1b7f57039f61 · outbound
Phase transitions for contact processes on one-dimensional networks On the largest component of a hyperbolic model of complex networks
Reference 5
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 7a277ed0-f6d3-4a96-aee2-2ef826c02fc1 · outbound
Phase transitions for contact processes on one-dimensional networks Bollobás
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 629e0cfa-5bcc-4694-81a5-3e7e51263cc2 · outbound
Phase transitions for contact processes on one-dimensional networks Spread-out percolation in Rd
Reference 7
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 ede1cd1f-f096-4a56-aa07-2790b638c9c6 · outbound
Phase transitions for contact processes on one-dimensional networks Contact process on one-dimensional long range percolation
Reference 8
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 80279523-40e9-4ee7-a805-34296a37ad16 · outbound
Phase transitions for contact processes on one-dimensional networks Contact processes on random graphs with power law degree distributions have critical value 0
Reference 9
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 1c073aca-e1d0-478d-83c1-576f9bbd760c · outbound
Phase transitions for contact processes on one-dimensional networks The average distance in a random graph with given expected degrees
Reference 10
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 20d1039a-a74a-4cea-a7d3-f51de3a4790b · outbound
Phase transitions for contact processes on one-dimensional networks Scale-free percolation
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5dd85f48-6216-45bc-b357-e39c2c9c959e · outbound
Phase transitions for contact processes on one-dimensional networks A new proof of the sharpness of the phase transition for Bernoulli per- colation and the Ising model
Reference 12
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 f74a78a2-d4b6-4b5b-abf3-56330017c095 · outbound
Phase transitions for contact processes on one-dimensional networks A new proof of the sharpness of the phase transition for Bernoulli perco- lation on Zd
Reference 13
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 c7d73148-b4f7-421f-9a2a-67cc60c3c11c · outbound
Phase transitions for contact processes on one-dimensional networks Unresolved cited work
Reference 14
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 99b2a9ba-484c-4a48-b1f2-8cbabe96cf4b · outbound
Phase transitions for contact processes on one-dimensional networks Unresolved cited work
Reference 15
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 1e2fffad-989b-43e0-8771-017dfac35420 · outbound
Phase transitions for contact processes on one-dimensional networks Unresolved cited work
Reference 16
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 3c799108-73e6-40d0-8011-6e46556ca5a9 · outbound
Phase transitions for contact processes on one-dimensional networks Subcritical regimes in the Poisson Boolean model of continuum percolation
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 755f7c1a-b5bd-4e70-b28c-54e779e34a56 · outbound
Phase transitions for contact processes on one-dimensional networks The contact process on scale-free geometric random graphs
Reference 18
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 63317e85-5ac0-4c40-8772-44e474fa1be8 · outbound
Phase transitions for contact processes on one-dimensional networks The age-dependent random connection model
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b373a487-a6f3-4adb-96d7-f7baa2e156a1 · outbound
Phase transitions for contact processes on one-dimensional networks Transience Versus Recurrence for Scale-Free Spatial Networks
Reference 20
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 ae4fcfbc-c084-4f05-8a6d-e3a5690ce60a · outbound
Phase transitions for contact processes on one-dimensional networks Recurrence versus transience for weight-dependent random connection models
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 332ff132-7a6c-4528-8f9f-bad5600a112d · outbound
Phase transitions for contact processes on one-dimensional networks Finiteness of the percolation threshold for inhomogeneous long-range models in one dimension
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f07fac36-4d0c-4f32-86f8-aeafbbe11685 · outbound
Phase transitions for contact processes on one-dimensional networks Percolation phase transition in weight-dependent random connection models
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6f58c06a-9ce8-4fc2-8e03-7f9d44582911 · outbound
Phase transitions for contact processes on one-dimensional networks On continuum percolation
Reference 24
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 5b1cbac1-eada-487f-b759-043942b4fc6a · outbound
Phase transitions for contact processes on one-dimensional networks Contact interactions on a lattice
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 49abb9b8-d86d-4440-8750-1b36654ead90 · outbound
Phase transitions for contact processes on one-dimensional networks Distances in random graphs with finite variance degrees
Reference 26
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 f86ace4f-d744-4b4e-af45-2a98240fc4a3 · outbound
Phase transitions for contact processes on one-dimensional networks The contact process on random graphs and Galton Watson trees
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 158648cc-b828-4242-bac5-cd5159d71e9d · outbound
Phase transitions for contact processes on one-dimensional networks Subcritical annulus crossing in spatial random graphs
Reference 29
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 2a817104-c276-4d70-8b08-f59705cf33d2 · outbound
Phase transitions for contact processes on one-dimensional networks Robustness of scale-free spatial networks
Reference 30
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 5f2adb06-e029-48a3-8d47-114bde5f9e32 · outbound
Phase transitions for contact processes on one-dimensional networks On the notion of recurrence in discrete stochastic processes
Reference 31
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 527f03cf-2fbf-48df-84dc-ca51fa81d60e · outbound
Phase transitions for contact processes on one-dimensional networks Variations on a theme by Mark Kac
Reference 32
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 fd5d0c8d-08fa-4b25-870e-606c4dce3e2f · outbound
Phase transitions for contact processes on one-dimensional networks Shift-coupling of random rooted graphs and networks
Reference 33
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 543fc2b1-48df-4392-b7ad-2d7609be119a · outbound
Phase transitions for contact processes on one-dimensional networks Explosion in weighted hyperbolic random graphs and geometric inhomoge- neous random graphs
Reference 34
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 2713c920-d893-4c49-8c3e-aba89577a52a · outbound
Phase transitions for contact processes on one-dimensional networks Last and M
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 96d8ac1f-1fb9-416e-afbd-2756d3bf2747 · outbound
Phase transitions for contact processes on one-dimensional networks Quelques proprietes des exposants caracteristiques
Reference 36
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 b9c6ff73-1033-40e2-9499-fc4e2573e5e8 · outbound
Phase transitions for contact processes on one-dimensional networks Domination by Product Measures
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 776fe6b7-a478-45be-adbd-51076c00085b · outbound
Phase transitions for contact processes on one-dimensional networks Unresolved cited work
Reference 38
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 6ace6b16-fafa-4520-8190-60550596e0ba · outbound
Phase transitions for contact processes on one-dimensional networks Stochastic Interacting Systems: Contact, Voter and Exclusion Processes.Volume324.Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7f83c0ce-b67f-46fe-a196-12083d322dba · outbound
Phase transitions for contact processes on one-dimensional networks The contact process on random hyperbolic graphs: metastability and critical exponents
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 45257565-40e8-4ba9-85a6-e87afe6d316c · outbound
Phase transitions for contact processes on one-dimensional networks Lüchtrath
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 35cd49c5-447d-46c6-b667-b0c2c840bd4d · outbound
Phase transitions for contact processes on one-dimensional networks Random walks and percolation on trees
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation da8b13dd-a23f-42e4-91e2-50c3f74a47f5 · outbound
Phase transitions for contact processes on one-dimensional networks Random walks, capacity and percolation on trees
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 03c1ab17-6003-40fa-8444-c6ba3373e93c · outbound
Phase transitions for contact processes on one-dimensional networks Lyons and Y
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d882da28-d1d1-4eb8-9bb3-0524198ba586 · outbound
Phase transitions for contact processes on one-dimensional networks Meester and R
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 379099de-c01c-4c76-9a45-1c9af1e4e4b9 · outbound
Phase transitions for contact processes on one-dimensional networks Percolation by cumulative merging and phase transition for the contact process on random graphs
Reference 46
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 1dfa989c-8b55-42fa-80b5-427bb5391989 · outbound
Phase transitions for contact processes on one-dimensional networks Critical value asymptotics for the contact process on random graphs
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5d9b9c63-c25b-4147-b58b-d41ffa02c723 · outbound
Phase transitions for contact processes on one-dimensional networks The branching random walk and contact process on Galton-Watson and nonhomogeneous trees
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation de7984fc-1270-493a-b441-b34e034a0ba9 · outbound
Phase transitions for contact processes on one-dimensional networks On a continuum percolation model
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c17df844-ee5a-4126-be6a-4dbd51eacf4b · outbound
Phase transitions for contact processes on one-dimensional networks Long range percolation in one dimension
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 553d2628-2940-41af-9b4c-148ca0ec51e9 · outbound
Phase transitions for contact processes on one-dimensional networks On time- and cycle-stationarity
Reference 51
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 07179982-6514-4fd0-9b74-4df1a92a0e51 · outbound
Phase transitions for contact processes on one-dimensional networks Random walks in random environment
Reference 52
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 ee42cb19-a2c9-4248-9f40-37198d7b6ae3 · outbound
Phase transitions for contact processes on one-dimensional networks Unresolved cited work
Reference 1722
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 11e3f27e-f05d-4ee2-92c8-b35ac349cd7c · inbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8d67af2d-6b85-43f1-92a3-3d3df037412a · inbound
Concept-wise Attention for Fine-grained Concept Bottleneck Models Phase transitions for contact processes on one-dimensional networks
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0bf5f70b-5555-49f3-bb1e-90dc97d0880f · inbound
The truncation property and continuity for the long-range contact process on $\mathbb{Z}^d$ Phase transitions for contact processes on one-dimensional networks
Reference 23
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.