{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:RHF5N3FBETQFK47RSHAAADDW7L","short_pith_number":"pith:RHF5N3FB","canonical_record":{"source":{"id":"1411.3615","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-11-13T17:11:28Z","cross_cats_sorted":["q-fin.PM"],"title_canon_sha256":"7f8f55f62958e4a2c104eb2eb9538a87d3ce3ff7c75eb40e638fe82b1d9dd91c","abstract_canon_sha256":"4df880b7bddd0213b7d0d29a37c2081f583eb07de87918bf22551d93938448ae"},"schema_version":"1.0"},"canonical_sha256":"89cbd6eca124e05573f191c0000c76faf839f797c84142d1b5eadf732128fc5c","source":{"kind":"arxiv","id":"1411.3615","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.3615","created_at":"2026-05-18T02:37:43Z"},{"alias_kind":"arxiv_version","alias_value":"1411.3615v1","created_at":"2026-05-18T02:37:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.3615","created_at":"2026-05-18T02:37:43Z"},{"alias_kind":"pith_short_12","alias_value":"RHF5N3FBETQF","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RHF5N3FBETQFK47R","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RHF5N3FB","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:RHF5N3FBETQFK47RSHAAADDW7L","target":"record","payload":{"canonical_record":{"source":{"id":"1411.3615","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-11-13T17:11:28Z","cross_cats_sorted":["q-fin.PM"],"title_canon_sha256":"7f8f55f62958e4a2c104eb2eb9538a87d3ce3ff7c75eb40e638fe82b1d9dd91c","abstract_canon_sha256":"4df880b7bddd0213b7d0d29a37c2081f583eb07de87918bf22551d93938448ae"},"schema_version":"1.0"},"canonical_sha256":"89cbd6eca124e05573f191c0000c76faf839f797c84142d1b5eadf732128fc5c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:43.336574Z","signature_b64":"VbE/oSt0UwcwpgQlS/p7oPoi1PuRgv6amkyK4JEI9TJYWlEnUAc9sWXeiQDZmXFDrpxgLEm1Ciw5PKQIQ8yWAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89cbd6eca124e05573f191c0000c76faf839f797c84142d1b5eadf732128fc5c","last_reissued_at":"2026-05-18T02:37:43.336020Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:43.336020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.3615","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":"2026-05-18T02:37:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RNW6cSCR/Z3yBbbOOcs+lvL0p9g4TB6FMe7WTiwIGj1mHvDFkipTEPOxs7p8jdFRazCa0JXIR1Gh4rFPeWN6DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T17:20:53.847810Z"},"content_sha256":"516194e90f9370faac1a0c46cca9a69ab2c2d65a15b7dd6b1cde6155932e2e75","schema_version":"1.0","event_id":"sha256:516194e90f9370faac1a0c46cca9a69ab2c2d65a15b7dd6b1cde6155932e2e75"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:RHF5N3FBETQFK47RSHAAADDW7L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Kelly criterion for variable pay-off","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-fin.PM"],"primary_cat":"math.PR","authors_text":"Ricardo P\\'erez-Marco","submitted_at":"2014-11-13T17:11:28Z","abstract_excerpt":"We determine Kelly criterion for a game with variable pay-off. The Kelly fraction satisfies a fundamental integral equation and is smaller than the classical Kelly fraction for the same game with the constant average pay-off."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.3615","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":"2026-05-18T02:37:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lt4vs3tMmuClsw5msflRvz4apxp8VUJBaRO0ZFUbdxEuVdWuD7BLcDWxsQ58YecxbRzmkL45/NXgBf+VvFTxAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T17:20:53.848478Z"},"content_sha256":"8a420ad11eb013cb2df6b8189fb32af09d16a9d7be144a428b55967c905374d5","schema_version":"1.0","event_id":"sha256:8a420ad11eb013cb2df6b8189fb32af09d16a9d7be144a428b55967c905374d5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RHF5N3FBETQFK47RSHAAADDW7L/bundle.json","state_url":"https://pith.science/pith/RHF5N3FBETQFK47RSHAAADDW7L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RHF5N3FBETQFK47RSHAAADDW7L/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":"2026-06-09T17:20:53Z","links":{"resolver":"https://pith.science/pith/RHF5N3FBETQFK47RSHAAADDW7L","bundle":"https://pith.science/pith/RHF5N3FBETQFK47RSHAAADDW7L/bundle.json","state":"https://pith.science/pith/RHF5N3FBETQFK47RSHAAADDW7L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RHF5N3FBETQFK47RSHAAADDW7L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RHF5N3FBETQFK47RSHAAADDW7L","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":"4df880b7bddd0213b7d0d29a37c2081f583eb07de87918bf22551d93938448ae","cross_cats_sorted":["q-fin.PM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-11-13T17:11:28Z","title_canon_sha256":"7f8f55f62958e4a2c104eb2eb9538a87d3ce3ff7c75eb40e638fe82b1d9dd91c"},"schema_version":"1.0","source":{"id":"1411.3615","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.3615","created_at":"2026-05-18T02:37:43Z"},{"alias_kind":"arxiv_version","alias_value":"1411.3615v1","created_at":"2026-05-18T02:37:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.3615","created_at":"2026-05-18T02:37:43Z"},{"alias_kind":"pith_short_12","alias_value":"RHF5N3FBETQF","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RHF5N3FBETQFK47R","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RHF5N3FB","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:8a420ad11eb013cb2df6b8189fb32af09d16a9d7be144a428b55967c905374d5","target":"graph","created_at":"2026-05-18T02:37:43Z","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 determine Kelly criterion for a game with variable pay-off. The Kelly fraction satisfies a fundamental integral equation and is smaller than the classical Kelly fraction for the same game with the constant average pay-off.","authors_text":"Ricardo P\\'erez-Marco","cross_cats":["q-fin.PM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-11-13T17:11:28Z","title":"Kelly criterion for variable pay-off"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.3615","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":"sha256:516194e90f9370faac1a0c46cca9a69ab2c2d65a15b7dd6b1cde6155932e2e75","target":"record","created_at":"2026-05-18T02:37:43Z","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":"4df880b7bddd0213b7d0d29a37c2081f583eb07de87918bf22551d93938448ae","cross_cats_sorted":["q-fin.PM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-11-13T17:11:28Z","title_canon_sha256":"7f8f55f62958e4a2c104eb2eb9538a87d3ce3ff7c75eb40e638fe82b1d9dd91c"},"schema_version":"1.0","source":{"id":"1411.3615","kind":"arxiv","version":1}},"canonical_sha256":"89cbd6eca124e05573f191c0000c76faf839f797c84142d1b5eadf732128fc5c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89cbd6eca124e05573f191c0000c76faf839f797c84142d1b5eadf732128fc5c","first_computed_at":"2026-05-18T02:37:43.336020Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:37:43.336020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VbE/oSt0UwcwpgQlS/p7oPoi1PuRgv6amkyK4JEI9TJYWlEnUAc9sWXeiQDZmXFDrpxgLEm1Ciw5PKQIQ8yWAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:37:43.336574Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.3615","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:516194e90f9370faac1a0c46cca9a69ab2c2d65a15b7dd6b1cde6155932e2e75","sha256:8a420ad11eb013cb2df6b8189fb32af09d16a9d7be144a428b55967c905374d5"],"state_sha256":"add536b04c79ea04ab999be3e167b298c9b026e9ec0f0866e3cd27e207fa9d6c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DP32T8mpe95TGvELH6UUyieztilFG4oppYw+DEcj9D+pQycyyev26osO/dRluKUiXim6kGgPCFWKneQxBx6dCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T17:20:53.852059Z","bundle_sha256":"66e9d172284d3ab50344d702cb1b72eabf1d83c303779761c61260bbf5d8232f"}}