Paper Citation Record · LEDGER

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model

As of 18 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2506.13429.

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

pith.paper-citation-record.v1
2506.13429 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:09:44.890531Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:56:41.510758Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T19:56:41.577778Z

Reference resolution

28 of 28 outbound references displayed

verified exact0
verified fuzzy14
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fa787cca-f39a-43ab-a939-df08cbf3cd15 · outbound

This paper cites Billingsley.Probability and Measure.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model Billingsley.Probability and Measure

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:09:45.246232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4a965683-f88e-48c5-8fb4-64651bfba542 · outbound

This paper cites an unresolved cited work.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:09:45.234735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 94fbe7ca-b42f-48a0-a41e-bfb8e0c9b23b · outbound

This paper cites Caicedo and M.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model Caicedo and M

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:09:45.224802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 87d8a1db-5862-42ec-a166-f2de38ff2461 · outbound

This paper cites an unresolved cited work.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:09:45.214598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 948e86a4-544e-4a7d-b789-b21bbbff8af1 · outbound

This paper cites an unresolved cited work.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T20:09:44.813305Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 28486bfa-eb53-4336-a69c-08031fd42412 · outbound

This paper cites Costa and M.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model Costa and M

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:09:45.205935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 05035cd4-8f4d-4bb9-bad7-721bb70952c8 · outbound

This paper cites The Triangle Condition for the Marked Random Connection Model.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model The Triangle Condition for the Marked Random Connection Model

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T20:09:44.821978Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0948d81a-4dbd-444b-9de4-2201dbe13622 · outbound

This paper cites SpringerBriefsinApplied Sciences and Technology.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model SpringerBriefsinApplied Sciences and Technology

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:09:45.196358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 52fa8be5-1f92-4326-8fe6-8d49630fdb8f · outbound

This paper cites Hatcher.Algebraic topology.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model Hatcher.Algebraic topology

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:09:45.184682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b107a5b7-69df-41bd-bd11-00d2451adb88 · outbound

This paper cites an unresolved cited work.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:09:45.172817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8d2ba127-ed21-4a34-bd50-3b4f328df1f8 · outbound

This paper cites Therandomconnectionmodel: Connectivity,edgelengths,anddegreedistributions.Random Structures Algorithms, 52:283–300, 2018.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model Therandomconnectionmodel: Connectivity,edgelengths,anddegreedistributions.Random Structures Algorithms, 52:283–300, 2018

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:09:45.162786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5f863d80-fee4-4139-b0e3-44cf31987645 · outbound

This paper cites Jukna.Extremal Combinatorics, volume 173 ofTexts in theoretical computer science.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model Jukna.Extremal Combinatorics, volume 173 ofTexts in theoretical computer science

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:09:45.151870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b459471b-91cc-4183-b1bb-b6b226585b46 · outbound

This paper cites an unresolved cited work.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:09:45.142059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 90f324b2-43ec-414c-bb99-81eb5abe2d11 · outbound

This paper cites an unresolved cited work.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:09:45.132359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b9f3a1ba-a16e-40ff-9058-46196528ccd9 · outbound

This paper cites LimittheoremsforBettinumbersofrandomsimplicialcomplexes.Homology, Homotopy and Applications, 15(1):343–374, 2013.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model LimittheoremsforBettinumbersofrandomsimplicialcomplexes.Homology, Homotopy and Applications, 15(1):343–374, 2013

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T20:09:44.846257Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c129db71-cb62-46ea-9093-ba9c018b0cd7 · outbound

This paper cites Kallenberg.Foundations of Modern Probability, volume 99 ofProbability Theory and Stochastic Modelling.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model Kallenberg.Foundations of Modern Probability, volume 99 ofProbability Theory and Stochastic Modelling

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:09:45.114798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b37fdbb7-7deb-4c1a-8e11-00cc10ef630f · outbound

This paper cites OnmomentsequencesandmixedPoissondistributions.ProbabilitySurveys, 13:89–155, 2016.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model OnmomentsequencesandmixedPoissondistributions.ProbabilitySurveys, 13:89–155, 2016

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:09:45.103924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e46c03bf-fbdd-4ab6-ae10-8c0366e1f62c · outbound

This paper cites Therandomconnectionmodelandfunctionsofedge-markedPois- son processes: Second order properties and normal approximation.The Annals of Applied Probability, 31(1):128–168, 2021.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model Therandomconnectionmodelandfunctionsofedge-markedPois- son processes: Second order properties and normal approximation.The Annals of Applied Probability, 31(1):128–168, 2021

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:09:45.092726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 47643bc9-6d21-43e2-a4f9-2fa9fbabd20b · outbound

This paper cites Last and M.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model Last and M

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:09:45.081989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3b67a759-4cc3-48c9-a43e-7373dd508d11 · outbound

This paper cites Pabst.Das Random Connection Model für höherdimensionale Simplizialkomplexe.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model Pabst.Das Random Connection Model für höherdimensionale Simplizialkomplexe

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:09:45.071219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2638c0a1-6c06-4bc9-88fe-e32b42acc262 · outbound

This paper cites Central limit theorems for the Euler characteristic in the Random Connection Model for higher-dimensional simplicial complexes.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model Central limit theorems for the Euler characteristic in the Random Connection Model for higher-dimensional simplicial complexes

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T20:09:44.868318Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b14a118-e8c1-4f88-a808-c2113d16ad50 · outbound

This paper cites an unresolved cited work.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T20:09:44.872769Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37e95121-9d11-497d-9479-d81fc80df36c · outbound

This paper cites Schneider and W.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model Schneider and W

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T20:09:44.878818Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19fc6921-e2b4-4ffb-8b63-b4e9385f71de · outbound

This paper cites an unresolved cited work.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:09:45.038451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b44807d6-0c01-43aa-af30-a32d805123fa · outbound

This paper cites an unresolved cited work.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:09:45.028445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 76f3ce94-165a-4c9f-8b54-f9c500146d97 · outbound

This paper cites Cambridge University Press, Cambridge, 2016.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model Cambridge University Press, Cambridge, 2016

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:09:45.016645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8242e9b6-ab39-4fea-bab9-7c1f50f199c1 · outbound

This paper cites Yogeshwaran, E.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model Yogeshwaran, E

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:09:45.004417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3921cdaa-e4d1-4211-aaa2-2bc7bc3c3d5b · outbound

This paper cites an unresolved cited work.

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model Unresolved cited work

Reference 1991

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:09:45.054236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

Observation 665e9f81-d991-47b5-ba5b-e14fcac15fe2 · inbound

Percolation in the marked stationary Random Connection Model for higher-dimensional simplicial complexes cites this paper.

Percolation in the marked stationary Random Connection Model for higher-dimensional simplicial complexes Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model

Reference 14

Resolution: metadata mismatch; local_arxiv, observed 2026-08-15T19:56:41.581945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.