{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:UWWGODWH5QAIDD274TQRBHCZRI","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"10faeb096eb5a78fc8e27e65da443fd83774632bc062e9d3a6cab8c46a5ea1c5","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2025-09-18T01:52:21Z","title_canon_sha256":"afad285ba3529168908fe1acc466b15f87d3c24adf31239732cb6b5778a69736"},"schema_version":"1.0","source":{"id":"2509.14529","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.14529","created_at":"2026-05-20T00:02:55Z"},{"alias_kind":"arxiv_version","alias_value":"2509.14529v2","created_at":"2026-05-20T00:02:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.14529","created_at":"2026-05-20T00:02:55Z"},{"alias_kind":"pith_short_12","alias_value":"UWWGODWH5QAI","created_at":"2026-05-20T00:02:55Z"},{"alias_kind":"pith_short_16","alias_value":"UWWGODWH5QAIDD27","created_at":"2026-05-20T00:02:55Z"},{"alias_kind":"pith_short_8","alias_value":"UWWGODWH","created_at":"2026-05-20T00:02:55Z"}],"graph_snapshots":[{"event_id":"sha256:92d013aa8f5304f3ef4f918e50d8e00cb3f5eec5e5a73446291c462416bb6956","target":"graph","created_at":"2026-05-20T00:02:55Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2509.14529/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Built to generalise classical stochastic calculus, rough path theory provides a natural and pathwise framework to model continuous non-semimartingale assets. This paper investigates the capacity of this framework to support frictionless continuous No-Free-Lunch markets \\`a la Kreps-Yan. We establish a \"Rough Kreps-Yan\" theorem, which links a No Controlled Free Lunch (NCFL) condition to the unbiasedness of the driver of the price process as a rough integrator. The central work of this paper is a classification of these unbiased rough integrators with respect to different classes of controlled p","authors_text":"Qijin Shi, Tomoyuki Ichiba","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2025-09-18T01:52:21Z","title":"Unbiased Rough Integrators and No Free Lunch in Rough-Path-Based Market Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.14529","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6384fc6194bcfba84df2c772549380b526878df47cd6284dfe6acc48862c7b30","target":"record","created_at":"2026-05-20T00:02:55Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"10faeb096eb5a78fc8e27e65da443fd83774632bc062e9d3a6cab8c46a5ea1c5","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2025-09-18T01:52:21Z","title_canon_sha256":"afad285ba3529168908fe1acc466b15f87d3c24adf31239732cb6b5778a69736"},"schema_version":"1.0","source":{"id":"2509.14529","kind":"arxiv","version":2}},"canonical_sha256":"a5ac670ec7ec00818f5fe4e1109c598a040a139c9e3d6301692384d9ad367c49","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a5ac670ec7ec00818f5fe4e1109c598a040a139c9e3d6301692384d9ad367c49","first_computed_at":"2026-05-20T00:02:55.271123Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:02:55.271123Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OyQb2h4I61m3XlO/gnXhE/PV2RnUWQLI6ZuyHcekR1/sJm7qBq6MBmXpYAir4NigPHjEfDaR1dUPW9W5ITxiAQ==","signature_status":"signed_v1","signed_at":"2026-05-20T00:02:55.271976Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.14529","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6384fc6194bcfba84df2c772549380b526878df47cd6284dfe6acc48862c7b30","sha256:92d013aa8f5304f3ef4f918e50d8e00cb3f5eec5e5a73446291c462416bb6956"],"state_sha256":"d9d556f28b5ffd62f37186ad411536856cfea4ad23d0245b42f3bfb980356a43"}