{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:CFERVGYOL6UTA2K5QDOQ7EFEOK","short_pith_number":"pith:CFERVGYO","schema_version":"1.0","canonical_sha256":"11491a9b0e5fa930695d80dd0f90a472b762015227c2042db14d258f652f70ed","source":{"kind":"arxiv","id":"2607.05695","version":1},"attestation_state":"computed","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2607.05695","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2026-07-06T23:27:34Z","cross_cats_sorted":["econ.GN","physics.hist-ph","q-fin.EC"],"title_canon_sha256":"858f427ab3ad647b06cc78194311b9104fd7d35b52798f275ee8a432a9ce2c2e","abstract_canon_sha256":"ee40d52f33f87d6154eb119b51e8b39c0f058660aa9aae48ab7ab017f805f8b1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-08T01:18:41.779927Z","signature_b64":"mPotZal50sJ6ID6w/h4AvvAJLB97KYLo34PGsfRLAf4HH7Bz4WekoyLeUIIce7Suza1hLv9oZ09DmEeUrYPIAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"11491a9b0e5fa930695d80dd0f90a472b762015227c2042db14d258f652f70ed","last_reissued_at":"2026-07-08T01:18:41.779501Z","signature_status":"signed_v1","first_computed_at":"2026-07-08T01:18:41.779501Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2607.05695","created_at":"2026-07-08T01:18:41.779556+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.05695v1","created_at":"2026-07-08T01:18:41.779556+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.05695","created_at":"2026-07-08T01:18:41.779556+00:00"},{"alias_kind":"pith_short_12","alias_value":"CFERVGYOL6UT","created_at":"2026-07-08T01:18:41.779556+00:00"},{"alias_kind":"pith_short_16","alias_value":"CFERVGYOL6UTA2K5","created_at":"2026-07-08T01:18:41.779556+00:00"},{"alias_kind":"pith_short_8","alias_value":"CFERVGYO","created_at":"2026-07-08T01:18:41.779556+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.09010","citing_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)","ref_index":28,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CFERVGYOL6UTA2K5QDOQ7EFEOK","json":"https://pith.science/pith/CFERVGYOL6UTA2K5QDOQ7EFEOK.json","graph_json":"https://pith.science/api/pith-number/CFERVGYOL6UTA2K5QDOQ7EFEOK/graph.json","events_json":"https://pith.science/api/pith-number/CFERVGYOL6UTA2K5QDOQ7EFEOK/events.json","paper":"https://pith.science/paper/CFERVGYO"},"agent_actions":{"view_html":"https://pith.science/pith/CFERVGYOL6UTA2K5QDOQ7EFEOK","download_json":"https://pith.science/pith/CFERVGYOL6UTA2K5QDOQ7EFEOK.json","view_paper":"https://pith.science/paper/CFERVGYO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.05695&json=true","fetch_graph":"https://pith.science/api/pith-number/CFERVGYOL6UTA2K5QDOQ7EFEOK/graph.json","fetch_events":"https://pith.science/api/pith-number/CFERVGYOL6UTA2K5QDOQ7EFEOK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CFERVGYOL6UTA2K5QDOQ7EFEOK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CFERVGYOL6UTA2K5QDOQ7EFEOK/action/storage_attestation","attest_author":"https://pith.science/pith/CFERVGYOL6UTA2K5QDOQ7EFEOK/action/author_attestation","sign_citation":"https://pith.science/pith/CFERVGYOL6UTA2K5QDOQ7EFEOK/action/citation_signature","submit_replication":"https://pith.science/pith/CFERVGYOL6UTA2K5QDOQ7EFEOK/action/replication_record"}},"created_at":"2026-07-08T01:18:41.779556+00:00","updated_at":"2026-07-08T01:18:41.779556+00:00"}