{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:AURY4M4ZO6YSOCT65BBELKGSI6","short_pith_number":"pith:AURY4M4Z","canonical_record":{"source":{"id":"1305.5915","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2013-05-25T12:34:30Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"c092bfbb501e9461c7f62f8fb3afbd61d89916e73e4f028508d531f5c467d960","abstract_canon_sha256":"35dc8c265fe7e7c92a2a3b282c58f3c47f526d7b218b435fab22a6ae873bb0b0"},"schema_version":"1.0"},"canonical_sha256":"05238e339977b1270a7ee84245a8d247aac431fb289d0bb7d938065af5572b3f","source":{"kind":"arxiv","id":"1305.5915","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.5915","created_at":"2026-05-18T03:01:58Z"},{"alias_kind":"arxiv_version","alias_value":"1305.5915v3","created_at":"2026-05-18T03:01:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.5915","created_at":"2026-05-18T03:01:58Z"},{"alias_kind":"pith_short_12","alias_value":"AURY4M4ZO6YS","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AURY4M4ZO6YSOCT6","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AURY4M4Z","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:AURY4M4ZO6YSOCT65BBELKGSI6","target":"record","payload":{"canonical_record":{"source":{"id":"1305.5915","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2013-05-25T12:34:30Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"c092bfbb501e9461c7f62f8fb3afbd61d89916e73e4f028508d531f5c467d960","abstract_canon_sha256":"35dc8c265fe7e7c92a2a3b282c58f3c47f526d7b218b435fab22a6ae873bb0b0"},"schema_version":"1.0"},"canonical_sha256":"05238e339977b1270a7ee84245a8d247aac431fb289d0bb7d938065af5572b3f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:01:58.288661Z","signature_b64":"1A1lkL65pDpWOc/9MRtSarq0KXAkN6UNWI97hijqUuBeG0cr0yKZPGbqVED9KNS1+kV1ErBNygcoz7O8ajc2AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"05238e339977b1270a7ee84245a8d247aac431fb289d0bb7d938065af5572b3f","last_reissued_at":"2026-05-18T03:01:58.288056Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:01:58.288056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.5915","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:01:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nqTko9xYQ9s/5038CY3448RwV4xjjkstLx1mptgXdRbDNp8XA5fLX7ErSqtsUggEXcR9gMusz1r1pfMhcE0uAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:34:23.230525Z"},"content_sha256":"3056d304c47c6406f5a01ee9c3fddc3715573f9108a58f5df1d3be84c98c1aa6","schema_version":"1.0","event_id":"sha256:3056d304c47c6406f5a01ee9c3fddc3715573f9108a58f5df1d3be84c98c1aa6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:AURY4M4ZO6YSOCT65BBELKGSI6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Model-free CPPI","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"q-fin.PM","authors_text":"Alexander Schied","submitted_at":"2013-05-25T12:34:30Z","abstract_excerpt":"We consider Constant Proportion Portfolio Insurance (CPPI) and its dynamic extension, which may be called Dynamic Proportion Portfolio Insurance (DPPI). It is shown that these investment strategies work within the setting of F\\\"ollmer's pathwise It\\^o calculus, which makes no probabilistic assumptions whatsoever. This shows, on the one hand, that CPPI and DPPI are completely independent of any choice of a particular model for the dynamics of asset prices. They even make sense beyond the class of semimartingale sample paths and can be successfully defined for models admitting arbitrage, includi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.5915","kind":"arxiv","version":3},"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":"2026-05-18T03:01:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CysVHTfcQIAF9rIdbfL3tf11lO+B/InoaiZYRnOdmsb7vFrEE1AsMkJZSP62y+pdpUAQUF6b99neFOBpnGvsAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:34:23.230881Z"},"content_sha256":"a2021245578903976d03f6572eed10d66b43b2e66ee6ac8e3c6b5944e7695567","schema_version":"1.0","event_id":"sha256:a2021245578903976d03f6572eed10d66b43b2e66ee6ac8e3c6b5944e7695567"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AURY4M4ZO6YSOCT65BBELKGSI6/bundle.json","state_url":"https://pith.science/pith/AURY4M4ZO6YSOCT65BBELKGSI6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AURY4M4ZO6YSOCT65BBELKGSI6/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":"2026-05-28T10:34:23Z","links":{"resolver":"https://pith.science/pith/AURY4M4ZO6YSOCT65BBELKGSI6","bundle":"https://pith.science/pith/AURY4M4ZO6YSOCT65BBELKGSI6/bundle.json","state":"https://pith.science/pith/AURY4M4ZO6YSOCT65BBELKGSI6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AURY4M4ZO6YSOCT65BBELKGSI6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:AURY4M4ZO6YSOCT65BBELKGSI6","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":"35dc8c265fe7e7c92a2a3b282c58f3c47f526d7b218b435fab22a6ae873bb0b0","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2013-05-25T12:34:30Z","title_canon_sha256":"c092bfbb501e9461c7f62f8fb3afbd61d89916e73e4f028508d531f5c467d960"},"schema_version":"1.0","source":{"id":"1305.5915","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.5915","created_at":"2026-05-18T03:01:58Z"},{"alias_kind":"arxiv_version","alias_value":"1305.5915v3","created_at":"2026-05-18T03:01:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.5915","created_at":"2026-05-18T03:01:58Z"},{"alias_kind":"pith_short_12","alias_value":"AURY4M4ZO6YS","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AURY4M4ZO6YSOCT6","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AURY4M4Z","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:a2021245578903976d03f6572eed10d66b43b2e66ee6ac8e3c6b5944e7695567","target":"graph","created_at":"2026-05-18T03:01:58Z","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":"We consider Constant Proportion Portfolio Insurance (CPPI) and its dynamic extension, which may be called Dynamic Proportion Portfolio Insurance (DPPI). It is shown that these investment strategies work within the setting of F\\\"ollmer's pathwise It\\^o calculus, which makes no probabilistic assumptions whatsoever. This shows, on the one hand, that CPPI and DPPI are completely independent of any choice of a particular model for the dynamics of asset prices. They even make sense beyond the class of semimartingale sample paths and can be successfully defined for models admitting arbitrage, includi","authors_text":"Alexander Schied","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2013-05-25T12:34:30Z","title":"Model-free CPPI"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.5915","kind":"arxiv","version":3},"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":"sha256:3056d304c47c6406f5a01ee9c3fddc3715573f9108a58f5df1d3be84c98c1aa6","target":"record","created_at":"2026-05-18T03:01:58Z","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":"35dc8c265fe7e7c92a2a3b282c58f3c47f526d7b218b435fab22a6ae873bb0b0","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2013-05-25T12:34:30Z","title_canon_sha256":"c092bfbb501e9461c7f62f8fb3afbd61d89916e73e4f028508d531f5c467d960"},"schema_version":"1.0","source":{"id":"1305.5915","kind":"arxiv","version":3}},"canonical_sha256":"05238e339977b1270a7ee84245a8d247aac431fb289d0bb7d938065af5572b3f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"05238e339977b1270a7ee84245a8d247aac431fb289d0bb7d938065af5572b3f","first_computed_at":"2026-05-18T03:01:58.288056Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:01:58.288056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1A1lkL65pDpWOc/9MRtSarq0KXAkN6UNWI97hijqUuBeG0cr0yKZPGbqVED9KNS1+kV1ErBNygcoz7O8ajc2AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:01:58.288661Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.5915","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3056d304c47c6406f5a01ee9c3fddc3715573f9108a58f5df1d3be84c98c1aa6","sha256:a2021245578903976d03f6572eed10d66b43b2e66ee6ac8e3c6b5944e7695567"],"state_sha256":"ecf32139df576f5e5353080a850f0bdc1015127f2e8908f0008d5865d0d47b2f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VDj0PhgE6q9TzS0wEFw2fO9io7QJzQqWLYg97wXW/56UdtXjCGDWwFWjy8KP3Y7DDrU5uPB5bgYOHVUMYSg2AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T10:34:23.232852Z","bundle_sha256":"2e6cf7ae75c7baedbafa342030887637bf348fcb72f080521b414e4562bfd9af"}}