{"paper":{"title":"Structural Divergence of the Roman--Byzantine Trade Network, 0--1453\\,CE: Persistent Homology, Topological Velocity, and Criticality Indicators of Imperial Collapse","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["econ.GN","physics.hist-ph","q-fin.EC"],"primary_cat":"physics.soc-ph","authors_text":"Carlos Pinedo Guadarrama, David Delepine, Jose de Jesus Bernal-Alvarado","submitted_at":"2026-07-06T23:27:34Z","abstract_excerpt":"We extend the persistent homology analysis of~\\paperone{} to the full Roman--Byzantine trade network (0--1453\\,\\textsc{ce}), using 2{,}599 nodes and 4{,}503 trimodal edges calibrated against the \\textsc{orbis} Geospatial Network Model. Five results are reported. %\n(i)~The $H_t{=}0$ western sub-network result of~\\paperone{} is a data-coverage artifact: with full western representation ($N_{\\rm west}=987$, $\\beta_1\\approx52$ cycles per decade) a baseline East--West entropy gap of $+2.22$ units is present from 0\\,\\textsc{ce} and grows at $+3.3\\times10^{-3}$\\,yr$^{-1}$, predating the Theodosian pa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.05695","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/2607.05695/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"}