{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:X3IOVI6LRMLRTIMR2SSWH4RHED","short_pith_number":"pith:X3IOVI6L","canonical_record":{"source":{"id":"1403.6175","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2014-03-24T22:50:28Z","cross_cats_sorted":[],"title_canon_sha256":"aa0fd49d1988de8724be5784d0764a215cac147abbbaa9a113bb36d74a06db24","abstract_canon_sha256":"afabd30b654f53092bb49c3cba84b614d4b9c27a9e43f94fbc7b88c5f5b13bb2"},"schema_version":"1.0"},"canonical_sha256":"bed0eaa3cb8b1719a191d4a563f22720fa9356f122268018f92df1415b631548","source":{"kind":"arxiv","id":"1403.6175","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.6175","created_at":"2026-05-18T02:39:48Z"},{"alias_kind":"arxiv_version","alias_value":"1403.6175v2","created_at":"2026-05-18T02:39:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.6175","created_at":"2026-05-18T02:39:48Z"},{"alias_kind":"pith_short_12","alias_value":"X3IOVI6LRMLR","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"X3IOVI6LRMLRTIMR","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"X3IOVI6L","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:X3IOVI6LRMLRTIMR2SSWH4RHED","target":"record","payload":{"canonical_record":{"source":{"id":"1403.6175","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2014-03-24T22:50:28Z","cross_cats_sorted":[],"title_canon_sha256":"aa0fd49d1988de8724be5784d0764a215cac147abbbaa9a113bb36d74a06db24","abstract_canon_sha256":"afabd30b654f53092bb49c3cba84b614d4b9c27a9e43f94fbc7b88c5f5b13bb2"},"schema_version":"1.0"},"canonical_sha256":"bed0eaa3cb8b1719a191d4a563f22720fa9356f122268018f92df1415b631548","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:48.342041Z","signature_b64":"gGzMn1TchL/wzIXUesa4XOPZRPNwFi9iHjq0oLiGgi+5IFNfnHl3jIOinklX0ugkO1pHP7Yt4NbDFHj77nHqBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bed0eaa3cb8b1719a191d4a563f22720fa9356f122268018f92df1415b631548","last_reissued_at":"2026-05-18T02:39:48.341495Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:48.341495Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.6175","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:39:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nRNe8KCv9ljP6S+Db+yEoMbmojj6GjsuxJw3JawbvxRMoHnKi1Il2zpR2PF2cUTOvfsLpR+lsrjDyX8WGoGzCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T13:20:04.870005Z"},"content_sha256":"f36115eb2c057a634c3b65ab3fe6d09e33c723098ba2ce20a94aeb700a8a7ae6","schema_version":"1.0","event_id":"sha256:f36115eb2c057a634c3b65ab3fe6d09e33c723098ba2ce20a94aeb700a8a7ae6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:X3IOVI6LRMLRTIMR2SSWH4RHED","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Utility maximization in the large markets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.PM","authors_text":"Oleksii Mostovyi","submitted_at":"2014-03-24T22:50:28Z","abstract_excerpt":"In the large financial market, which is described by a model with countably many traded assets, we formulate the problem of the expected utility maximization. Assuming that the preferences of an economic agent are modeled with a stochastic utility and that the consumption occurs according to a stochastic clock, we obtain the \"usual\" conclusions of the utility maximization theory. We also give a characterization of the value function in the large market in terms of a sequence of the value functions in the finite-dimensional models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.6175","kind":"arxiv","version":2},"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":"2026-05-18T02:39:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1oHdsuB9XL413ueTGeJW0ToDvw/FUlPNdCQOJ62gXKPL9ZJuy3wRXudSO4TzEFJHJzh/Xz2BSiK0+kOWaHcxDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T13:20:04.870364Z"},"content_sha256":"4d618b86186a04c2a5060f76449badac66ddbcb09378971409c2b23d76ff9893","schema_version":"1.0","event_id":"sha256:4d618b86186a04c2a5060f76449badac66ddbcb09378971409c2b23d76ff9893"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X3IOVI6LRMLRTIMR2SSWH4RHED/bundle.json","state_url":"https://pith.science/pith/X3IOVI6LRMLRTIMR2SSWH4RHED/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X3IOVI6LRMLRTIMR2SSWH4RHED/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":"2026-06-26T13:20:04Z","links":{"resolver":"https://pith.science/pith/X3IOVI6LRMLRTIMR2SSWH4RHED","bundle":"https://pith.science/pith/X3IOVI6LRMLRTIMR2SSWH4RHED/bundle.json","state":"https://pith.science/pith/X3IOVI6LRMLRTIMR2SSWH4RHED/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X3IOVI6LRMLRTIMR2SSWH4RHED/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:X3IOVI6LRMLRTIMR2SSWH4RHED","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":"afabd30b654f53092bb49c3cba84b614d4b9c27a9e43f94fbc7b88c5f5b13bb2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2014-03-24T22:50:28Z","title_canon_sha256":"aa0fd49d1988de8724be5784d0764a215cac147abbbaa9a113bb36d74a06db24"},"schema_version":"1.0","source":{"id":"1403.6175","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.6175","created_at":"2026-05-18T02:39:48Z"},{"alias_kind":"arxiv_version","alias_value":"1403.6175v2","created_at":"2026-05-18T02:39:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.6175","created_at":"2026-05-18T02:39:48Z"},{"alias_kind":"pith_short_12","alias_value":"X3IOVI6LRMLR","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"X3IOVI6LRMLRTIMR","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"X3IOVI6L","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:4d618b86186a04c2a5060f76449badac66ddbcb09378971409c2b23d76ff9893","target":"graph","created_at":"2026-05-18T02:39:48Z","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":"In the large financial market, which is described by a model with countably many traded assets, we formulate the problem of the expected utility maximization. Assuming that the preferences of an economic agent are modeled with a stochastic utility and that the consumption occurs according to a stochastic clock, we obtain the \"usual\" conclusions of the utility maximization theory. We also give a characterization of the value function in the large market in terms of a sequence of the value functions in the finite-dimensional models.","authors_text":"Oleksii Mostovyi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2014-03-24T22:50:28Z","title":"Utility maximization in the large markets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.6175","kind":"arxiv","version":2},"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:f36115eb2c057a634c3b65ab3fe6d09e33c723098ba2ce20a94aeb700a8a7ae6","target":"record","created_at":"2026-05-18T02:39:48Z","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":"afabd30b654f53092bb49c3cba84b614d4b9c27a9e43f94fbc7b88c5f5b13bb2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2014-03-24T22:50:28Z","title_canon_sha256":"aa0fd49d1988de8724be5784d0764a215cac147abbbaa9a113bb36d74a06db24"},"schema_version":"1.0","source":{"id":"1403.6175","kind":"arxiv","version":2}},"canonical_sha256":"bed0eaa3cb8b1719a191d4a563f22720fa9356f122268018f92df1415b631548","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bed0eaa3cb8b1719a191d4a563f22720fa9356f122268018f92df1415b631548","first_computed_at":"2026-05-18T02:39:48.341495Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:48.341495Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gGzMn1TchL/wzIXUesa4XOPZRPNwFi9iHjq0oLiGgi+5IFNfnHl3jIOinklX0ugkO1pHP7Yt4NbDFHj77nHqBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:48.342041Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.6175","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f36115eb2c057a634c3b65ab3fe6d09e33c723098ba2ce20a94aeb700a8a7ae6","sha256:4d618b86186a04c2a5060f76449badac66ddbcb09378971409c2b23d76ff9893"],"state_sha256":"04f2a5085079900bf41ccf238c9fe34ea6bcb90e9423338ff72bd5a6cbf217c8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NWxFLGYgnwpmAmfWyotuEnqARkrJYBljxsbHhmkw3ZFK6IC6w5vPuPvF4SoKKVTxkerTKPjKm++fTuSD0VMODg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T13:20:04.872973Z","bundle_sha256":"ed9ebad34596cadc6148ed2ebf94426ff94a971054a8a4456ae0322500b87b9a"}}