{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:DAUOUKU2SKZBYY65RZ7VGKU2VA","short_pith_number":"pith:DAUOUKU2","schema_version":"1.0","canonical_sha256":"1828ea2a9a92b21c63dd8e7f532a9aa8184751d46e812b05f4f2816cfd34df92","source":{"kind":"arxiv","id":"1811.08474","version":1},"attestation_state":"computed","paper":{"title":"Log-optimal and rapid paths in von Neumann-Gale dynamical systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Esmaeil Babaei, Igor V. Evstigneev, Klaus R. Schenk-Hopp\\'e","submitted_at":"2018-11-20T20:39:08Z","abstract_excerpt":"Von Neumann-Gale dynamical systems are defined in terms of multivalued operators in spaces of random vectors, possessing certain properties of convexity and homogeneity. A central role in the theory of such systems is played by a special class of paths (trajectories) called rapid: they grow over each time period t-1,t in a sense faster than others. The paper establishes existence and characterization theorems for such paths showing, in particular, that any trajectory maximizing a logarithmic functional over a finite time horizon is rapid. The proof of this result is based on the methods of con"},"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":"1811.08474","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-11-20T20:39:08Z","cross_cats_sorted":[],"title_canon_sha256":"72670ff08e6ded86c87e8c9842210ffaa3a01e69bab895dcd2cae21f2b4d73e3","abstract_canon_sha256":"5486ad06e5ecf374095a263e7a6761ecaa1c67edd177cfdf1efa45848ba824e6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:12.435483Z","signature_b64":"Jf2g/kVkeK9ch4/x5ew92RU5l1oJ/jaTpy+S4i/w9JJyDJS0fTTpO3dTsmP8mqmWn2anafM4m32NLrHyD/uNDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1828ea2a9a92b21c63dd8e7f532a9aa8184751d46e812b05f4f2816cfd34df92","last_reissued_at":"2026-05-18T00:00:12.434969Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:12.434969Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Log-optimal and rapid paths in von Neumann-Gale dynamical systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Esmaeil Babaei, Igor V. Evstigneev, Klaus R. Schenk-Hopp\\'e","submitted_at":"2018-11-20T20:39:08Z","abstract_excerpt":"Von Neumann-Gale dynamical systems are defined in terms of multivalued operators in spaces of random vectors, possessing certain properties of convexity and homogeneity. A central role in the theory of such systems is played by a special class of paths (trajectories) called rapid: they grow over each time period t-1,t in a sense faster than others. The paper establishes existence and characterization theorems for such paths showing, in particular, that any trajectory maximizing a logarithmic functional over a finite time horizon is rapid. The proof of this result is based on the methods of con"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.08474","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":""},"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":"1811.08474","created_at":"2026-05-18T00:00:12.435050+00:00"},{"alias_kind":"arxiv_version","alias_value":"1811.08474v1","created_at":"2026-05-18T00:00:12.435050+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.08474","created_at":"2026-05-18T00:00:12.435050+00:00"},{"alias_kind":"pith_short_12","alias_value":"DAUOUKU2SKZB","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_16","alias_value":"DAUOUKU2SKZBYY65","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_8","alias_value":"DAUOUKU2","created_at":"2026-05-18T12:32:19.392346+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DAUOUKU2SKZBYY65RZ7VGKU2VA","json":"https://pith.science/pith/DAUOUKU2SKZBYY65RZ7VGKU2VA.json","graph_json":"https://pith.science/api/pith-number/DAUOUKU2SKZBYY65RZ7VGKU2VA/graph.json","events_json":"https://pith.science/api/pith-number/DAUOUKU2SKZBYY65RZ7VGKU2VA/events.json","paper":"https://pith.science/paper/DAUOUKU2"},"agent_actions":{"view_html":"https://pith.science/pith/DAUOUKU2SKZBYY65RZ7VGKU2VA","download_json":"https://pith.science/pith/DAUOUKU2SKZBYY65RZ7VGKU2VA.json","view_paper":"https://pith.science/paper/DAUOUKU2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1811.08474&json=true","fetch_graph":"https://pith.science/api/pith-number/DAUOUKU2SKZBYY65RZ7VGKU2VA/graph.json","fetch_events":"https://pith.science/api/pith-number/DAUOUKU2SKZBYY65RZ7VGKU2VA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DAUOUKU2SKZBYY65RZ7VGKU2VA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DAUOUKU2SKZBYY65RZ7VGKU2VA/action/storage_attestation","attest_author":"https://pith.science/pith/DAUOUKU2SKZBYY65RZ7VGKU2VA/action/author_attestation","sign_citation":"https://pith.science/pith/DAUOUKU2SKZBYY65RZ7VGKU2VA/action/citation_signature","submit_replication":"https://pith.science/pith/DAUOUKU2SKZBYY65RZ7VGKU2VA/action/replication_record"}},"created_at":"2026-05-18T00:00:12.435050+00:00","updated_at":"2026-05-18T00:00:12.435050+00:00"}