{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:Z3ZPX4HUC6XOKQC6PRPRSSL7MC","short_pith_number":"pith:Z3ZPX4HU","canonical_record":{"source":{"id":"1702.07169","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PR","submitted_at":"2017-02-23T10:52:03Z","cross_cats_sorted":["math.PR","q-fin.MF"],"title_canon_sha256":"438c69c54c0e6f5f02299f57a3fc2749f7453d1e2649875ddea73711693c5e85","abstract_canon_sha256":"44ea459b5ad9461f6ad7eb36b7306853caadbc5befb14719beae1ceca5471539"},"schema_version":"1.0"},"canonical_sha256":"cef2fbf0f417aee5405e7c5f19497f60bfeb53452f4e6d8bd7e4d97441745f40","source":{"kind":"arxiv","id":"1702.07169","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.07169","created_at":"2026-05-18T00:50:08Z"},{"alias_kind":"arxiv_version","alias_value":"1702.07169v1","created_at":"2026-05-18T00:50:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07169","created_at":"2026-05-18T00:50:08Z"},{"alias_kind":"pith_short_12","alias_value":"Z3ZPX4HUC6XO","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"Z3ZPX4HUC6XOKQC6","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"Z3ZPX4HU","created_at":"2026-05-18T12:31:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:Z3ZPX4HUC6XOKQC6PRPRSSL7MC","target":"record","payload":{"canonical_record":{"source":{"id":"1702.07169","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PR","submitted_at":"2017-02-23T10:52:03Z","cross_cats_sorted":["math.PR","q-fin.MF"],"title_canon_sha256":"438c69c54c0e6f5f02299f57a3fc2749f7453d1e2649875ddea73711693c5e85","abstract_canon_sha256":"44ea459b5ad9461f6ad7eb36b7306853caadbc5befb14719beae1ceca5471539"},"schema_version":"1.0"},"canonical_sha256":"cef2fbf0f417aee5405e7c5f19497f60bfeb53452f4e6d8bd7e4d97441745f40","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:08.004571Z","signature_b64":"WKapfmjIwKiVHfnaHxXI3ceDEFc31e1iK9aRY81SP3IuztE/JOgFiGFOuEsfWcVQadPeReTbcghAyjqiFiTfDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cef2fbf0f417aee5405e7c5f19497f60bfeb53452f4e6d8bd7e4d97441745f40","last_reissued_at":"2026-05-18T00:50:08.003747Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:08.003747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.07169","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:50:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5nWBTTlYQY10kkNAQbLgQRConEeiqz9yryDTfSwoYJH+T3qxMWkX/pdK40iGSKl1ySmWEHlQ8AEocKSQCpWwAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T03:11:03.505605Z"},"content_sha256":"d495d68bd24e70e2eca017c0017e322e0ff5d96ac8b93e73f2cbab81e8d62c76","schema_version":"1.0","event_id":"sha256:d495d68bd24e70e2eca017c0017e322e0ff5d96ac8b93e73f2cbab81e8d62c76"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:Z3ZPX4HUC6XOKQC6PRPRSSL7MC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Robust Hedging of Options on a Leveraged Exchange Traded Fund","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","q-fin.MF"],"primary_cat":"q-fin.PR","authors_text":"Alexander M. G. Cox, Sam M. Kinsley","submitted_at":"2017-02-23T10:52:03Z","abstract_excerpt":"A leveraged exchange traded fund (LETF) is an exchange traded fund that uses financial derivatives to amplify the price changes of a basket of goods. In this paper, we consider the robust hedging of European options on a LETF, finding model-free bounds on the price of these options.\n  To obtain an upper bound, we establish a new optimal solution to the Skorokhod embedding problem (SEP) using methods introduced in Beiglb\\\"ock-Cox-Huesmann. This stopping time can be represented as the hitting time of some region by a Brownian motion, but unlike other solutions of e.g. Root, this region is not un"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07169","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:50:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vrm/XwF93NHn6mGt/EaWl6RKUU1Il3AAmnjmKJBFBJ7J0yp+Wr1l3eYaLo9lK1MqPAHN5GQDmBsIePSQZRJBDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T03:11:03.505987Z"},"content_sha256":"946eac76e1edf1c04930e51a1d4ed050463c2929bb269d1a8e9ec981a7836897","schema_version":"1.0","event_id":"sha256:946eac76e1edf1c04930e51a1d4ed050463c2929bb269d1a8e9ec981a7836897"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z3ZPX4HUC6XOKQC6PRPRSSL7MC/bundle.json","state_url":"https://pith.science/pith/Z3ZPX4HUC6XOKQC6PRPRSSL7MC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z3ZPX4HUC6XOKQC6PRPRSSL7MC/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-31T03:11:03Z","links":{"resolver":"https://pith.science/pith/Z3ZPX4HUC6XOKQC6PRPRSSL7MC","bundle":"https://pith.science/pith/Z3ZPX4HUC6XOKQC6PRPRSSL7MC/bundle.json","state":"https://pith.science/pith/Z3ZPX4HUC6XOKQC6PRPRSSL7MC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z3ZPX4HUC6XOKQC6PRPRSSL7MC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:Z3ZPX4HUC6XOKQC6PRPRSSL7MC","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":"44ea459b5ad9461f6ad7eb36b7306853caadbc5befb14719beae1ceca5471539","cross_cats_sorted":["math.PR","q-fin.MF"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PR","submitted_at":"2017-02-23T10:52:03Z","title_canon_sha256":"438c69c54c0e6f5f02299f57a3fc2749f7453d1e2649875ddea73711693c5e85"},"schema_version":"1.0","source":{"id":"1702.07169","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.07169","created_at":"2026-05-18T00:50:08Z"},{"alias_kind":"arxiv_version","alias_value":"1702.07169v1","created_at":"2026-05-18T00:50:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07169","created_at":"2026-05-18T00:50:08Z"},{"alias_kind":"pith_short_12","alias_value":"Z3ZPX4HUC6XO","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"Z3ZPX4HUC6XOKQC6","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"Z3ZPX4HU","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:946eac76e1edf1c04930e51a1d4ed050463c2929bb269d1a8e9ec981a7836897","target":"graph","created_at":"2026-05-18T00:50:08Z","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"},"paper":{"abstract_excerpt":"A leveraged exchange traded fund (LETF) is an exchange traded fund that uses financial derivatives to amplify the price changes of a basket of goods. In this paper, we consider the robust hedging of European options on a LETF, finding model-free bounds on the price of these options.\n  To obtain an upper bound, we establish a new optimal solution to the Skorokhod embedding problem (SEP) using methods introduced in Beiglb\\\"ock-Cox-Huesmann. This stopping time can be represented as the hitting time of some region by a Brownian motion, but unlike other solutions of e.g. Root, this region is not un","authors_text":"Alexander M. G. Cox, Sam M. Kinsley","cross_cats":["math.PR","q-fin.MF"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PR","submitted_at":"2017-02-23T10:52:03Z","title":"Robust Hedging of Options on a Leveraged Exchange Traded Fund"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07169","kind":"arxiv","version":1},"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:d495d68bd24e70e2eca017c0017e322e0ff5d96ac8b93e73f2cbab81e8d62c76","target":"record","created_at":"2026-05-18T00:50:08Z","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":"44ea459b5ad9461f6ad7eb36b7306853caadbc5befb14719beae1ceca5471539","cross_cats_sorted":["math.PR","q-fin.MF"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PR","submitted_at":"2017-02-23T10:52:03Z","title_canon_sha256":"438c69c54c0e6f5f02299f57a3fc2749f7453d1e2649875ddea73711693c5e85"},"schema_version":"1.0","source":{"id":"1702.07169","kind":"arxiv","version":1}},"canonical_sha256":"cef2fbf0f417aee5405e7c5f19497f60bfeb53452f4e6d8bd7e4d97441745f40","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cef2fbf0f417aee5405e7c5f19497f60bfeb53452f4e6d8bd7e4d97441745f40","first_computed_at":"2026-05-18T00:50:08.003747Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:08.003747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WKapfmjIwKiVHfnaHxXI3ceDEFc31e1iK9aRY81SP3IuztE/JOgFiGFOuEsfWcVQadPeReTbcghAyjqiFiTfDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:08.004571Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.07169","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d495d68bd24e70e2eca017c0017e322e0ff5d96ac8b93e73f2cbab81e8d62c76","sha256:946eac76e1edf1c04930e51a1d4ed050463c2929bb269d1a8e9ec981a7836897"],"state_sha256":"22550bc1a32fbb52490a07b282ab35a86297c6aaa45368b3523672ec1632ac20"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IIZM81r5HvqFuibrnORU8L3Kl5B9KL/BZCy56GIjY7rwlnaBAM6Ui1SOGjnY+rGE18nj1DyFgOyHCmc9tPwaBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T03:11:03.508029Z","bundle_sha256":"b2e720cfe3296a206fb5627835643c0422e6e3e6755a9b41c085ac2a576daeab"}}