# Literature verification notes

Canonical bibliography support for Series I / Paper 06.

Verification date: 2026-08-14.

1. Watts, D. J. (2002). A Simple Model of Global Cascades on Random Networks. PNAS 99(9):5766-5771. DOI 10.1073/pnas.082090499.
2. Goel, S., Anderson, A., Hofman, J., & Watts, D. J. (2016). The Structural Virality of Online Diffusion. Management Science 62(1):180-196. DOI 10.1287/mnsc.2015.2158.
3. Rizoiu, M.-A., Xie, L., Sanner, S., Cebrian, M., Yu, H., & Van Hentenryck, P. (2017). Expecting to be HIP: Hawkes Intensity Processes for Social Media Popularity. WWW 2017, 735-744. DOI 10.1145/3038912.3052650.
4. Li, J., Yang, Y., Zhang, Y., Hu, Q., Zhao, A., & Gao, H. (2025). Public Opinion Field Effect and Hawkes Process Join Hands for Information Popularity Prediction. AAAI 39(11):12076-12083. DOI 10.1609/aaai.v39i11.33315.
5. Lorenz-Spreen, P., Mønsted, B. M., Hövel, P., & Lehmann, S. (2019). Accelerating Dynamics of Collective Attention. Nature Communications 10:1759. DOI 10.1038/s41467-019-09311-w.
6. Salganik, M. J., Dodds, P. S., & Watts, D. J. (2006). Experimental Study of Inequality and Unpredictability in an Artificial Cultural Market. Science 311(5762):854-856. DOI 10.1126/science.1121066.

Formal boundary notes:
- ERPG, External Reproduction Number as applied to public-entity artifact graphs, the Public Autonomy Vector, the self-seeding removal test, and the machine-mediated reproduction constructs are proposed in this paper.
- The Poisson branching threshold theorem is proved explicitly in the canonical source.
- The reproduction-number threshold is model-specific and is not asserted as a universal empirical constant for social fame.
- Structural virality literature motivates separating cascade size from generational structure.
- HIP/Hawkes literature motivates exogenous/endogenous decomposition.
- Watts cascade theory motivates topology-sensitive cascade conditions.