Copyright © 2025 Université Paris Cité

Author: Guillaume Rousseau, Laboratoire Matières et Systèmes Complexes, UMR 7057, CNRS and Université Paris Cité, CNRS, UMR7057, 10 rue Alice Domon et Léonie Duquet, F-75013, Paris cedex 13, France (email: guillaume.rousseau@u-paris.fr)

This archive contains the supplemental materials and replication package associated with the preprint, "Growth Regime Shifts in Empirical Networks: Evidence and Challenges from the Software Heritage and APS Citation Case Studies", available on arXiv and ssrn.

The latest version of the preprint (timestamped arXiv:2501.10145v4) is downloadable here https://arxiv.org/pdf/2501.10145

The current version of the Python scripts and associated resources is available on the author's GitHub page.

This work is currently licensed under the Creative Commons CC BY-NC-SA 4.0 license.

To give appropriate credit and cite this work (BibTeX entry): Rousseau, G. (2025). Growth Regime Shifts in Empirical Networks: Evidence and Challenges from the Software Heritage and APS Citation Case Studies [Preprint]. arXiv:2501.10145. https://arxiv.org/abs/2501.10145; also available on SSRN: http://ssrn.com/abstract=5191689

A) Replication Packages

Open the Replication Package notebook related to the datasets.

Open the Replication Package notebook related to the figures.

B) QuickStart Guide

Open the QuickStart Guide notebook

C) Table of Contents

• 1. Function Definitions
• 2. Dataset Import
• 3. Building the Transposed Graph
• 4. Temporal Information Quality and Summary Statistics
• 5. Growth Relationship Between Nodes and Edges
• 6. Topological Partitioning($RV$ Nodes)
• 7. In-Degree and Out-Degree Distributions Over Time
• 8. Distribution Tail Analysis
• 9. Temporal Partitioning
• 10. Derived $O-(RV/RL)-O$ Graph Construction
• 11. Building the $TSL$ Partitioning
• 12. Price / Directed Barabási–Albert Model Use Case
• 13. APS citation network
• 14. Generic Report Template

NB : As of 2025/09/15, the QuickStart guide, the replication packages, and SM01 to SM14 are available. The Python scripts are also provided under local_utils directory, but they are not in their final form and should be considered an alpha release.

The main graph datasets used in the study are available in a distinct Zenodo Deposit 10.5281/zenodo.15260640 ($\sim50$ Go), including the main dataset $O/RV/RL-O/RV/RL$ (2+ billions of nodes, $\sim4$ billions of edges), and two derived $O-(RV/RL)-O$ graphs ($\sim150$ millions nodes and edges).

The APS Citation Dataset (2022 export) has been included in the study.

More release notes are available in the dedicated notebook.