Evidence map›Paper›PMID 42443187›Full record

ArticleNature communications2026

Temporal self-similarity reveals percolation universality classes in complex networks.

Sheng Fang, Jun Meng, Qing Lin, Bingsheng Chen, Gaogao Dong, Chenglin Bai, Jan Nagler, Youjin Deng, Renaud Lambiotte, Jingfang Fan

Abstract read
In one paragraph

Article in Nature communications, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

0numbers the graph read from it
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0citing papers in PubMed
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1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

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Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

0 citing papers in PubMed.

No citing paper in PubMed yet.

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

10 authors.

Sheng Fang *School of Systems Science, Beijing Normal University, Beijing, China.
Jun Meng *State Key Laboratory of Earth System Numerical Modeling and Application, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, China.
Qing LinSchool of Systems Science, Beijing Normal University, Beijing, China.
Bingsheng ChenNetwork Science Institute and Department of Physics, Northeastern University, Boston, MA, USA.
Gaogao DongSchool of Mathematical Sciences, Jiangsu University, Zhenjiang, Jiangsu, China.ORCID http://orcid.org/0000-0003-4425-7724
Chenglin BaiSchool of Mathematics and Systems Science, Liaocheng University, Liaocheng, Shandong, China.
Jan NaglerDeep Dynamics, Centre for Human and Machine Intelligence, Frankfurt School of Finance and Management, Frankfurt am Main, Germany.ORCID http://orcid.org/0000-0001-7872-7726
Youjin DengDepartment of Modern Physics, University of Science and Technology of China, Hefei, Anhui, China.ORCID http://orcid.org/0000-0001-9743-4013
Renaud LambiotteMathematical Institute, University of Oxford, Oxford, UK.ORCID http://orcid.org/0000-0002-0583-4595
Jingfang FanSchool of Systems Science, Beijing Normal University, Beijing, China. jingfang@bnu.edu.cn.ORCID http://orcid.org/0000-0003-1954-4641

Funding

National Natural Science Foundation of China (National Science Foundation of China) T2525011, 42450183, 42575057, 12275020, 12205025, 2251200134, 12505036
6 · The paper itself

Abstract

Catastrophic fragmentation and structural transitions are ubiquitous in real-world complex systems, yet their underlying universality classes remain largely elusive due to strong structural heterogeneity and the absence of well-defined critical thresholds. Here, we discover a robust phenomenon of temporal self-similarity governing the dynamic percolation process across diverse complex networks. By tracking the full statistics of incremental growth events, we reveal that fragmentation dynamics are governed by two independent Fisher-type critical exponents, τ

Identifiers

PMID42443187
PMCPMC13487200

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.