{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:E5XQASJH2NPCTS6RGE52T3FDHJ","short_pith_number":"pith:E5XQASJH","canonical_record":{"source":{"id":"1809.11010","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PR","submitted_at":"2018-09-28T13:20:41Z","cross_cats_sorted":[],"title_canon_sha256":"1736111daff7c926535405abe6965abc6ec65e83d5c9261d28a3cf8706c9aa61","abstract_canon_sha256":"6d768058b08a1462e465670ad6efbe7e3075bcadc6ff62e8ba41a073c30a8cd8"},"schema_version":"1.0"},"canonical_sha256":"276f004927d35e29cbd1313ba9eca33a7d0d64d68e5aa03988d184897aab1437","source":{"kind":"arxiv","id":"1809.11010","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.11010","created_at":"2026-05-18T00:04:33Z"},{"alias_kind":"arxiv_version","alias_value":"1809.11010v1","created_at":"2026-05-18T00:04:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.11010","created_at":"2026-05-18T00:04:33Z"},{"alias_kind":"pith_short_12","alias_value":"E5XQASJH2NPC","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"E5XQASJH2NPCTS6R","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"E5XQASJH","created_at":"2026-05-18T12:32:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:E5XQASJH2NPCTS6RGE52T3FDHJ","target":"record","payload":{"canonical_record":{"source":{"id":"1809.11010","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PR","submitted_at":"2018-09-28T13:20:41Z","cross_cats_sorted":[],"title_canon_sha256":"1736111daff7c926535405abe6965abc6ec65e83d5c9261d28a3cf8706c9aa61","abstract_canon_sha256":"6d768058b08a1462e465670ad6efbe7e3075bcadc6ff62e8ba41a073c30a8cd8"},"schema_version":"1.0"},"canonical_sha256":"276f004927d35e29cbd1313ba9eca33a7d0d64d68e5aa03988d184897aab1437","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:33.613809Z","signature_b64":"Ous1biO/Zx1jTdhKrA/5HC/rTkQYLlVib8OeoIuvkB8zEbWUp3VGmEAyA0eEQNXzrYVodcr/MxoWjX5wFtq1CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"276f004927d35e29cbd1313ba9eca33a7d0d64d68e5aa03988d184897aab1437","last_reissued_at":"2026-05-18T00:04:33.613269Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:33.613269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.11010","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":"2026-05-18T00:04:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V5K/bm8LN12k9rQhXiZWh5zdRCVnktegkRj+Ej9CQycICp87TYHnyf84ob/0iEBv67JSKoZjI3A30PZEQreYCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:14:14.738532Z"},"content_sha256":"a32d211f0b053c7f4ad173ceec9ed9a9f92a43b4d1118d6762e4bbc2aa68c4fd","schema_version":"1.0","event_id":"sha256:a32d211f0b053c7f4ad173ceec9ed9a9f92a43b4d1118d6762e4bbc2aa68c4fd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:E5XQASJH2NPCTS6RGE52T3FDHJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact Solutions for Optimal Investment Strategies and Indifference Prices under Non-Differentiable Preferences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.PR","authors_text":"Marcellino Gaudenzi, Michel Vellekoop","submitted_at":"2018-09-28T13:20:41Z","abstract_excerpt":"We propose an algorithm to calculate the exact solution for utility optimization problems on finite state spaces under a class of non-differentiable preferences. We prove that optimal strategies must lie on a discrete grid in the plane, and this allows us to reduce the dimension of the problem and define a very efficient method to obtain those strategies. We also show how fast approximations for the value function can be obtained with an a priori specified error bound and we use these to replicate results for investment problems with a known closed-form solution. These results show the efficie"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.11010","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":"2026-05-18T00:04:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QYtqn8+jHcxSybnEsZrgYMhKCghLRDSb7R7RWg5m/WoUfXIyNagOTm37CTnTku+dRZ29aLHn4YmpPsjiXKn4Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:14:14.739234Z"},"content_sha256":"5cea8e316451f408cc4679a2049da6e2265cf196e08300f2eae1880506a9d7cb","schema_version":"1.0","event_id":"sha256:5cea8e316451f408cc4679a2049da6e2265cf196e08300f2eae1880506a9d7cb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E5XQASJH2NPCTS6RGE52T3FDHJ/bundle.json","state_url":"https://pith.science/pith/E5XQASJH2NPCTS6RGE52T3FDHJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E5XQASJH2NPCTS6RGE52T3FDHJ/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":"2026-05-31T07:14:14Z","links":{"resolver":"https://pith.science/pith/E5XQASJH2NPCTS6RGE52T3FDHJ","bundle":"https://pith.science/pith/E5XQASJH2NPCTS6RGE52T3FDHJ/bundle.json","state":"https://pith.science/pith/E5XQASJH2NPCTS6RGE52T3FDHJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E5XQASJH2NPCTS6RGE52T3FDHJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:E5XQASJH2NPCTS6RGE52T3FDHJ","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":"6d768058b08a1462e465670ad6efbe7e3075bcadc6ff62e8ba41a073c30a8cd8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PR","submitted_at":"2018-09-28T13:20:41Z","title_canon_sha256":"1736111daff7c926535405abe6965abc6ec65e83d5c9261d28a3cf8706c9aa61"},"schema_version":"1.0","source":{"id":"1809.11010","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.11010","created_at":"2026-05-18T00:04:33Z"},{"alias_kind":"arxiv_version","alias_value":"1809.11010v1","created_at":"2026-05-18T00:04:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.11010","created_at":"2026-05-18T00:04:33Z"},{"alias_kind":"pith_short_12","alias_value":"E5XQASJH2NPC","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"E5XQASJH2NPCTS6R","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"E5XQASJH","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:5cea8e316451f408cc4679a2049da6e2265cf196e08300f2eae1880506a9d7cb","target":"graph","created_at":"2026-05-18T00:04:33Z","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 propose an algorithm to calculate the exact solution for utility optimization problems on finite state spaces under a class of non-differentiable preferences. We prove that optimal strategies must lie on a discrete grid in the plane, and this allows us to reduce the dimension of the problem and define a very efficient method to obtain those strategies. We also show how fast approximations for the value function can be obtained with an a priori specified error bound and we use these to replicate results for investment problems with a known closed-form solution. These results show the efficie","authors_text":"Marcellino Gaudenzi, Michel Vellekoop","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PR","submitted_at":"2018-09-28T13:20:41Z","title":"Exact Solutions for Optimal Investment Strategies and Indifference Prices under Non-Differentiable Preferences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.11010","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:a32d211f0b053c7f4ad173ceec9ed9a9f92a43b4d1118d6762e4bbc2aa68c4fd","target":"record","created_at":"2026-05-18T00:04:33Z","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":"6d768058b08a1462e465670ad6efbe7e3075bcadc6ff62e8ba41a073c30a8cd8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PR","submitted_at":"2018-09-28T13:20:41Z","title_canon_sha256":"1736111daff7c926535405abe6965abc6ec65e83d5c9261d28a3cf8706c9aa61"},"schema_version":"1.0","source":{"id":"1809.11010","kind":"arxiv","version":1}},"canonical_sha256":"276f004927d35e29cbd1313ba9eca33a7d0d64d68e5aa03988d184897aab1437","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"276f004927d35e29cbd1313ba9eca33a7d0d64d68e5aa03988d184897aab1437","first_computed_at":"2026-05-18T00:04:33.613269Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:33.613269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ous1biO/Zx1jTdhKrA/5HC/rTkQYLlVib8OeoIuvkB8zEbWUp3VGmEAyA0eEQNXzrYVodcr/MxoWjX5wFtq1CA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:33.613809Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.11010","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a32d211f0b053c7f4ad173ceec9ed9a9f92a43b4d1118d6762e4bbc2aa68c4fd","sha256:5cea8e316451f408cc4679a2049da6e2265cf196e08300f2eae1880506a9d7cb"],"state_sha256":"eb1395a5e2a7bf410e9817e49e99c2d393332592e8a8b7376e51fcff037cd32d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rSLF8lUcz7i6AEZZCXD+3TLAn9aBeLv0OkON+LLj1LuQXrBVN2wux6odVMeB8X1Jz0bp3ILuuPLvBZgyDgFWCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T07:14:14.742924Z","bundle_sha256":"696ef81b62527203a04c840065d5d312f707e774af6cbec2cf9c53e900ab3553"}}