{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:GZ6NOGU2G4LGFDDACDSY3IE7KV","short_pith_number":"pith:GZ6NOGU2","canonical_record":{"source":{"id":"1409.2023","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2014-09-06T15:31:51Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"c0a3e1813340a994861f932f60c47521befa48dac9ce85fcc3abdbe1647bd5b0","abstract_canon_sha256":"211282cd250659d2183a0c260a88e92d7dcdf36e429f9f677dd6eb0fc3724585"},"schema_version":"1.0"},"canonical_sha256":"367cd71a9a3716628c6010e58da09f555736d76fc9e2550d8dd0ab9d0b2aae58","source":{"kind":"arxiv","id":"1409.2023","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.2023","created_at":"2026-05-18T02:43:18Z"},{"alias_kind":"arxiv_version","alias_value":"1409.2023v1","created_at":"2026-05-18T02:43:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.2023","created_at":"2026-05-18T02:43:18Z"},{"alias_kind":"pith_short_12","alias_value":"GZ6NOGU2G4LG","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GZ6NOGU2G4LGFDDA","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GZ6NOGU2","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:GZ6NOGU2G4LGFDDACDSY3IE7KV","target":"record","payload":{"canonical_record":{"source":{"id":"1409.2023","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2014-09-06T15:31:51Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"c0a3e1813340a994861f932f60c47521befa48dac9ce85fcc3abdbe1647bd5b0","abstract_canon_sha256":"211282cd250659d2183a0c260a88e92d7dcdf36e429f9f677dd6eb0fc3724585"},"schema_version":"1.0"},"canonical_sha256":"367cd71a9a3716628c6010e58da09f555736d76fc9e2550d8dd0ab9d0b2aae58","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:18.122372Z","signature_b64":"wj2RD0iqnCGK+jzzGNHERDwFs+Kw58o+NeOFDwPm4/ssAhMyDd35RKVCP9UKwHusHttnG03a0DUw14vdV/KNAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"367cd71a9a3716628c6010e58da09f555736d76fc9e2550d8dd0ab9d0b2aae58","last_reissued_at":"2026-05-18T02:43:18.121865Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:18.121865Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.2023","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":"2026-05-18T02:43:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/k/JlbX2BwYKHbERgrEEoHAPo1oagQnq66vulJxkq5uSr5CLVU0+a5o2M//YLjpqOxHVrgLQB0CHS4yg/RKMBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T09:27:25.214284Z"},"content_sha256":"981a55168b1d07cf04285c23771164830e009d75787c9c0ad0baff7884ddbae8","schema_version":"1.0","event_id":"sha256:981a55168b1d07cf04285c23771164830e009d75787c9c0ad0baff7884ddbae8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:GZ6NOGU2G4LGFDDACDSY3IE7KV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal investment with bounded above utilities in discrete time markets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"q-fin.PM","authors_text":"Miklos Rasonyi","submitted_at":"2014-09-06T15:31:51Z","abstract_excerpt":"We consider an arbitrage-free, discrete time and frictionless market. We prove that an investor maximising the expected utility of her terminal wealth can always find an optimal investment strategy provided that her dissatisfaction of infinite losses is infinite and her utility function is non-decreasing, continuous and bounded above. The same result is shown for cumulative prospect theory preferences, under additional assumptions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.2023","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":"2026-05-18T02:43:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VwjwY+TIcW8vzeGkVRFRRvR9kKzHWI2Rw1jVb8/J56CHEjtFlBvIHS5h6CA4bpd8fGIosj95jF7INvesewzhDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T09:27:25.214638Z"},"content_sha256":"7d95886a776fdd5f0f5ec426092d0b585f0c523d321d9a055d4b248799a3db0b","schema_version":"1.0","event_id":"sha256:7d95886a776fdd5f0f5ec426092d0b585f0c523d321d9a055d4b248799a3db0b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GZ6NOGU2G4LGFDDACDSY3IE7KV/bundle.json","state_url":"https://pith.science/pith/GZ6NOGU2G4LGFDDACDSY3IE7KV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GZ6NOGU2G4LGFDDACDSY3IE7KV/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":"2026-06-22T09:27:25Z","links":{"resolver":"https://pith.science/pith/GZ6NOGU2G4LGFDDACDSY3IE7KV","bundle":"https://pith.science/pith/GZ6NOGU2G4LGFDDACDSY3IE7KV/bundle.json","state":"https://pith.science/pith/GZ6NOGU2G4LGFDDACDSY3IE7KV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GZ6NOGU2G4LGFDDACDSY3IE7KV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GZ6NOGU2G4LGFDDACDSY3IE7KV","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":"211282cd250659d2183a0c260a88e92d7dcdf36e429f9f677dd6eb0fc3724585","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2014-09-06T15:31:51Z","title_canon_sha256":"c0a3e1813340a994861f932f60c47521befa48dac9ce85fcc3abdbe1647bd5b0"},"schema_version":"1.0","source":{"id":"1409.2023","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.2023","created_at":"2026-05-18T02:43:18Z"},{"alias_kind":"arxiv_version","alias_value":"1409.2023v1","created_at":"2026-05-18T02:43:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.2023","created_at":"2026-05-18T02:43:18Z"},{"alias_kind":"pith_short_12","alias_value":"GZ6NOGU2G4LG","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GZ6NOGU2G4LGFDDA","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GZ6NOGU2","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:7d95886a776fdd5f0f5ec426092d0b585f0c523d321d9a055d4b248799a3db0b","target":"graph","created_at":"2026-05-18T02:43:18Z","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 an arbitrage-free, discrete time and frictionless market. We prove that an investor maximising the expected utility of her terminal wealth can always find an optimal investment strategy provided that her dissatisfaction of infinite losses is infinite and her utility function is non-decreasing, continuous and bounded above. The same result is shown for cumulative prospect theory preferences, under additional assumptions.","authors_text":"Miklos Rasonyi","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2014-09-06T15:31:51Z","title":"Optimal investment with bounded above utilities in discrete time markets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.2023","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":"sha256:981a55168b1d07cf04285c23771164830e009d75787c9c0ad0baff7884ddbae8","target":"record","created_at":"2026-05-18T02:43:18Z","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":"211282cd250659d2183a0c260a88e92d7dcdf36e429f9f677dd6eb0fc3724585","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2014-09-06T15:31:51Z","title_canon_sha256":"c0a3e1813340a994861f932f60c47521befa48dac9ce85fcc3abdbe1647bd5b0"},"schema_version":"1.0","source":{"id":"1409.2023","kind":"arxiv","version":1}},"canonical_sha256":"367cd71a9a3716628c6010e58da09f555736d76fc9e2550d8dd0ab9d0b2aae58","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"367cd71a9a3716628c6010e58da09f555736d76fc9e2550d8dd0ab9d0b2aae58","first_computed_at":"2026-05-18T02:43:18.121865Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:18.121865Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wj2RD0iqnCGK+jzzGNHERDwFs+Kw58o+NeOFDwPm4/ssAhMyDd35RKVCP9UKwHusHttnG03a0DUw14vdV/KNAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:18.122372Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.2023","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:981a55168b1d07cf04285c23771164830e009d75787c9c0ad0baff7884ddbae8","sha256:7d95886a776fdd5f0f5ec426092d0b585f0c523d321d9a055d4b248799a3db0b"],"state_sha256":"0002294c08fef8d02d24fd28ef49b582dea8aec2ef109e28c398d4d458d5ad6f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MBOvoVfsgxGSaymEFVWBEW396yHHt0/bL9v3HC98FPsXlawMNqkmnRLfvjoR3J2iNeVUctZsxHQkW70/dIO/Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T09:27:25.216491Z","bundle_sha256":"a56bf3c1ddad83edc425a2fd438307173b1fa1e932ccf75fdf2a338815ca32dd"}}