{"paper":{"title":"Topological Signatures of Imperial Collapse and Fragmentation: Administrative Dissolution, Territorial Reorganization and Early-Warning Observables in the Han Dynasty Network (206~BCE\\,--\\,220~CE)","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.ed-ph","physics.hist-ph"],"primary_cat":"physics.soc-ph","authors_text":"Carlos Pinedo Guadarrama, David Delepine, Jose de Jesus Bernal-Alvarado","submitted_at":"2026-07-10T00:28:23Z","abstract_excerpt":"We extend the persistent homology formalism done in references~\\cite{paper1,paper2} to the Han Dynasty ($206~\\mathrm{BCE}$--$220~\\mathrm{CE}$), testing whether the collapse threshold $\\Hstar = 0.5241$ and the three-network decomposition methodology established for the Roman--Byzantine case generalize to a mechanistically distinct imperial system. Three complementary networks are constructed from geospatial and historical data: an administrative network ($\\Hadm$, 392~prefectures from CHGIS~v6), a geographic network ($\\Hgeo$, with node end-dates extended beyond administrative dissolution), and a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.09010","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.09010/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}