Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T18:42:57.272981Z
Paper Citation Record · LEDGER
Expanders in Models of Social Networks
As of 19 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2506.19485.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
27 of 27 outbound references displayed
- verified exact0
- verified fuzzy20
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch2
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation edebffc9-3bd7-4e7f-8681-413cc940280b · outbound
This paper cites ACM Transactions on Algorithms20(1) (Jan 2024).
Expanders in Models of Social Networks ACM Transactions on Algorithms20(1) (Jan 2024)
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:42:57.814523Z
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 b2a24607-83c8-46d0-965c-0bb57f5ec64f · outbound
This paper cites Network Science 10(4), 361–380 (2022).
Expanders in Models of Social Networks Network Science 10(4), 361–380 (2022)
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:42:57.684805Z
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 7c93b735-60c6-4dfb-a334-5315ffdb1a41 · outbound
This paper cites Theoretical Computer Science760, 35–54 (2019).
Expanders in Models of Social Networks Theoretical Computer Science760, 35–54 (2019)
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:42:57.670949Z
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 a50dd00d-81db-44af-b551-b6ae7a198cad · outbound
This paper cites Advances in Applied Probability p.
Expanders in Models of Social Networks Advances in Applied Probability p
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:42:57.656965Z
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 9492f4d4-f680-42c9-a369-5cda7ad27bf6 · outbound
This paper cites Journal of Computer and System Sciences 125, 59–105 (2022).
Expanders in Models of Social Networks Journal of Computer and System Sciences 125, 59–105 (2022)
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:42:57.642155Z
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 915fede7-e55b-4d38-80f0-d87aefd7825f · outbound
This paper cites 2020 IEEE 61st Annual Symposium on Foundations of Computer Science (FOCS) pp.
Expanders in Models of Social Networks 2020 IEEE 61st Annual Symposium on Foundations of Computer Science (FOCS) pp
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:42:57.628208Z
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 88b9ac0f-12c4-4fcb-a780-e4ff948ad4e9 · outbound
This paper cites In: International Conference on Complex Networks.
Expanders in Models of Social Networks In: International Conference on Complex Networks
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:42:57.614028Z
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 168baacf-3b93-49e3-ab9f-afb03947f148 · outbound
This paper cites In: Annales de l’IHP Probabilités et statistiques.
Expanders in Models of Social Networks In: Annales de l’IHP Probabilités et statistiques
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:42:57.599865Z
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 0c27f71a-1a05-4d2e-91da-65839e50d0bb · outbound
This paper cites In: Algorithms and Models for the Web Graph: 14th International Workshop, WAW 2017, Toronto, ON, Canada, June 15–16, 2017, Revised Selected Papers 14.
Expanders in Models of Social Networks In: Algorithms and Models for the Web Graph: 14th International Workshop, WAW 2017, Toronto, ON, Canada, June 15–16, 2017, Revised Selected Papers 14
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:42:57.585605Z
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 078058ac-960b-4442-950f-6a5c2045d31d · outbound
This paper cites an unresolved cited work.
Expanders in Models of Social Networks Unresolved cited work
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:42:57.195572Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c275dd9f-af2f-46f3-8e84-320477395cee · outbound
This paper cites In: Proceedings of the 2018 ACM Symposium on Principles of Distributed Computing.
Expanders in Models of Social Networks In: Proceedings of the 2018 ACM Symposium on Principles of Distributed Computing
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:42:57.570997Z
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 23816012-aa70-4c4d-8a10-ddbb779e2d22 · outbound
This paper cites American Journal of Sociology78(6), 1360–1380 (1973) 14 M.
Expanders in Models of Social Networks American Journal of Sociology78(6), 1360–1380 (1973) 14 M
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:42:57.556781Z
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 bcf876f7-88a7-4bd9-9a75-233f92654ed7 · outbound
This paper cites an unresolved cited work.
Expanders in Models of Social Networks Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:42:57.543067Z
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 1b1bfc9f-fcb2-4891-86e0-a3b5870cd399 · outbound
This paper cites Chaos, Solitons & Fractals139, 109965 (2020).
Expanders in Models of Social Networks Chaos, Solitons & Fractals139, 109965 (2020)
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:42:57.528815Z
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 bd07c6a9-3f8e-43d1-bf4a-40950bbe905a · outbound
This paper cites Cluster-size decay in supercritical kernel-based spatial random graphs.
Expanders in Models of Social Networks Cluster-size decay in supercritical kernel-based spatial random graphs
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:42:57.218050Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7c56376f-459a-4e2d-b0d7-f28d34a394a1 · outbound
This paper cites Rumour Spreading Depends on the Latent Geometry and Degree Distribution in Social Network Models.
Expanders in Models of Social Networks Rumour Spreading Depends on the Latent Geometry and Degree Distribution in Social Network Models
Reference 16
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-15T18:42:57.351688Z
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 befe11ef-8ae7-4755-8893-a319e9990f06 · outbound
This paper cites In: The 13th International Conference on Complex Networks and their Applications (2024).
Expanders in Models of Social Networks In: The 13th International Conference on Complex Networks and their Applications (2024)
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:42:57.514033Z
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 1d8940fb-8ab6-4d71-995a-1eb3d9281f38 · outbound
This paper cites Internet Mathematics p.
Expanders in Models of Social Networks Internet Mathematics p
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:42:57.499872Z
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 ab064e66-0976-40bc-be9c-f3c2d7b21e93 · outbound
This paper cites Electronic Journal of Probability 29, 1 – 48 (2024).
Expanders in Models of Social Networks Electronic Journal of Probability 29, 1 – 48 (2024)
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:42:57.485242Z
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 a2bb238a-e502-4e5c-b016-f780a6f563cc · outbound
This paper cites Stochastic Processes and their Applica- tions 130(3), 1309–1367 (2020).
Expanders in Models of Social Networks Stochastic Processes and their Applica- tions 130(3), 1309–1367 (2020)
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:42:57.470798Z
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 bca39b6e-d359-4d6e-a115-075fca3b7bfd · outbound
This paper cites an unresolved cited work.
Expanders in Models of Social Networks Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:42:57.455700Z
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 e46ee41c-81f5-4737-aff1-528305e4db55 · outbound
This paper cites an unresolved cited work.
Expanders in Models of Social Networks Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:42:57.439974Z
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 bc857ac0-aa6b-4191-982f-95d8dc102397 · outbound
This paper cites Existence of Small Separators Depends on Geometry for Geometric Inhomogeneous Random Graphs.
Expanders in Models of Social Networks Existence of Small Separators Depends on Geometry for Geometric Inhomogeneous Random Graphs
Reference 23
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-15T18:42:57.330716Z
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 01e91a17-7303-4309-90a3-970c2eaa8299 · outbound
This paper cites Bulletin of the American Mathematical Society49 (05 2011).
Expanders in Models of Social Networks Bulletin of the American Mathematical Society49 (05 2011)
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:42:57.425566Z
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 2f792a35-2f9b-4906-b229-ad6236ba1ade · outbound
This paper cites In: The 43rd Annual IEEE Symposium on Foundations of Computer Science, 2002.
Expanders in Models of Social Networks In: The 43rd Annual IEEE Symposium on Foundations of Computer Science, 2002
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:42:57.410824Z
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 39859870-162c-4933-8085-197ee52088e5 · outbound
This paper cites Random Structures & Algorithms65(4), 613–643 (2024).
Expanders in Models of Social Networks Random Structures & Algorithms65(4), 613–643 (2024)
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:42:57.395985Z
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 337d3f10-b626-43a5-80f1-95eebe320215 · outbound
This paper cites −s d 1− k s log ⌊n/ log2γn⌋ k − log |V′| s − 2d # = exp.
Expanders in Models of Social Networks −s d 1− k s log ⌊n/ log2γn⌋ k − log |V′| s − 2d # = exp
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:42:57.381639Z
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.