{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:2BJKW7UVX5YCGM24FIHCTWPKOR","short_pith_number":"pith:2BJKW7UV","canonical_record":{"source":{"id":"1506.04439","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-06-14T21:18:06Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"f24bceae52ef4512a5d72e921b3ce40a4e5f58919e4bef30276a91737d912720","abstract_canon_sha256":"47c9f9e8764aeb81a6b6e0d2c8784f7b8a134cccf336e972dd15916cc7b91922"},"schema_version":"1.0"},"canonical_sha256":"d052ab7e95bf7023335c2a0e29d9ea744552cc567d1bd6614f6ac3b43be89b86","source":{"kind":"arxiv","id":"1506.04439","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.04439","created_at":"2026-05-18T01:49:54Z"},{"alias_kind":"arxiv_version","alias_value":"1506.04439v1","created_at":"2026-05-18T01:49:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.04439","created_at":"2026-05-18T01:49:54Z"},{"alias_kind":"pith_short_12","alias_value":"2BJKW7UVX5YC","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"2BJKW7UVX5YCGM24","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"2BJKW7UV","created_at":"2026-05-18T12:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:2BJKW7UVX5YCGM24FIHCTWPKOR","target":"record","payload":{"canonical_record":{"source":{"id":"1506.04439","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-06-14T21:18:06Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"f24bceae52ef4512a5d72e921b3ce40a4e5f58919e4bef30276a91737d912720","abstract_canon_sha256":"47c9f9e8764aeb81a6b6e0d2c8784f7b8a134cccf336e972dd15916cc7b91922"},"schema_version":"1.0"},"canonical_sha256":"d052ab7e95bf7023335c2a0e29d9ea744552cc567d1bd6614f6ac3b43be89b86","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:54.548386Z","signature_b64":"uNFPniiBSTCR2kmOYzeHZZXONJCmqqHpY7JnNcdTy0iCBxxftS7r0gvMFZV+HVwWQwbbINbfzIubpNpBMhOWAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d052ab7e95bf7023335c2a0e29d9ea744552cc567d1bd6614f6ac3b43be89b86","last_reissued_at":"2026-05-18T01:49:54.547940Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:54.547940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.04439","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":"2026-05-18T01:49:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XzKUsoT5oqNSgSqmlR9l4Jph4wwgUs1p5Q/Pgqla1SS+RXfG100E3tY/Sa66WnQb9PKyjEIy/EZ48Bg/fV0sCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T12:48:39.571697Z"},"content_sha256":"f688665eea44f3beedcc481d95a19e01b07010c5a5ed482167965dd0f1d4c126","schema_version":"1.0","event_id":"sha256:f688665eea44f3beedcc481d95a19e01b07010c5a5ed482167965dd0f1d4c126"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:2BJKW7UVX5YCGM24FIHCTWPKOR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal stopping under probability distortions and law invariant coherent risk measures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.OC","authors_text":"Denis Belomestny, Volker Kraetschmer","submitted_at":"2015-06-14T21:18:06Z","abstract_excerpt":"In this paper we study optimal stopping problems with respect to distorted expectations of the form \\begin{eqnarray*} \\mathcal{E}(X)=\\int_{-\\infty}^{\\infty} x\\,dG(F_X(x)), \\end{eqnarray*} where $F_X$ is the distribution function of $X$ and $G$ is a convex distribution function on $[0,1].$ As a matter of fact, except for $G$ being the identity on $[0,1],$ dynamic versions of $\\mathcal{E}(X)$ do not have the so-called time-consistency property necessary for the dynamic programming approach. So the standard approaches are not applicable to optimal stopping under $\\mathcal{E}(X).$ In this paper, w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.04439","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":"2026-05-18T01:49:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HtkvxLaTW0jl+dbmoFSLAZY48OyopVoXauPPv0u9A2wf9HEsJ1+yJk6ykSpd2XAbFMdedU25Cy8keemGBGKFAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T12:48:39.572064Z"},"content_sha256":"9f4264dd120871f7ee60c96e48bc71f19b5144184af2ca85a9373c66559f62d3","schema_version":"1.0","event_id":"sha256:9f4264dd120871f7ee60c96e48bc71f19b5144184af2ca85a9373c66559f62d3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2BJKW7UVX5YCGM24FIHCTWPKOR/bundle.json","state_url":"https://pith.science/pith/2BJKW7UVX5YCGM24FIHCTWPKOR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2BJKW7UVX5YCGM24FIHCTWPKOR/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":"2026-06-03T12:48:39Z","links":{"resolver":"https://pith.science/pith/2BJKW7UVX5YCGM24FIHCTWPKOR","bundle":"https://pith.science/pith/2BJKW7UVX5YCGM24FIHCTWPKOR/bundle.json","state":"https://pith.science/pith/2BJKW7UVX5YCGM24FIHCTWPKOR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2BJKW7UVX5YCGM24FIHCTWPKOR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:2BJKW7UVX5YCGM24FIHCTWPKOR","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":"47c9f9e8764aeb81a6b6e0d2c8784f7b8a134cccf336e972dd15916cc7b91922","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-06-14T21:18:06Z","title_canon_sha256":"f24bceae52ef4512a5d72e921b3ce40a4e5f58919e4bef30276a91737d912720"},"schema_version":"1.0","source":{"id":"1506.04439","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.04439","created_at":"2026-05-18T01:49:54Z"},{"alias_kind":"arxiv_version","alias_value":"1506.04439v1","created_at":"2026-05-18T01:49:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.04439","created_at":"2026-05-18T01:49:54Z"},{"alias_kind":"pith_short_12","alias_value":"2BJKW7UVX5YC","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"2BJKW7UVX5YCGM24","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"2BJKW7UV","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:9f4264dd120871f7ee60c96e48bc71f19b5144184af2ca85a9373c66559f62d3","target":"graph","created_at":"2026-05-18T01:49:54Z","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 this paper we study optimal stopping problems with respect to distorted expectations of the form \\begin{eqnarray*} \\mathcal{E}(X)=\\int_{-\\infty}^{\\infty} x\\,dG(F_X(x)), \\end{eqnarray*} where $F_X$ is the distribution function of $X$ and $G$ is a convex distribution function on $[0,1].$ As a matter of fact, except for $G$ being the identity on $[0,1],$ dynamic versions of $\\mathcal{E}(X)$ do not have the so-called time-consistency property necessary for the dynamic programming approach. So the standard approaches are not applicable to optimal stopping under $\\mathcal{E}(X).$ In this paper, w","authors_text":"Denis Belomestny, Volker Kraetschmer","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-06-14T21:18:06Z","title":"Optimal stopping under probability distortions and law invariant coherent risk measures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.04439","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:f688665eea44f3beedcc481d95a19e01b07010c5a5ed482167965dd0f1d4c126","target":"record","created_at":"2026-05-18T01:49:54Z","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":"47c9f9e8764aeb81a6b6e0d2c8784f7b8a134cccf336e972dd15916cc7b91922","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-06-14T21:18:06Z","title_canon_sha256":"f24bceae52ef4512a5d72e921b3ce40a4e5f58919e4bef30276a91737d912720"},"schema_version":"1.0","source":{"id":"1506.04439","kind":"arxiv","version":1}},"canonical_sha256":"d052ab7e95bf7023335c2a0e29d9ea744552cc567d1bd6614f6ac3b43be89b86","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d052ab7e95bf7023335c2a0e29d9ea744552cc567d1bd6614f6ac3b43be89b86","first_computed_at":"2026-05-18T01:49:54.547940Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:54.547940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uNFPniiBSTCR2kmOYzeHZZXONJCmqqHpY7JnNcdTy0iCBxxftS7r0gvMFZV+HVwWQwbbINbfzIubpNpBMhOWAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:54.548386Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.04439","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f688665eea44f3beedcc481d95a19e01b07010c5a5ed482167965dd0f1d4c126","sha256:9f4264dd120871f7ee60c96e48bc71f19b5144184af2ca85a9373c66559f62d3"],"state_sha256":"8f1a697b851bbe9073ddf3b212d712a94e49c971471e2ae6572d3c97660c8bbe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H983QlVCKnPQMGQX8o00QzBqjVd5OtDKxegKXvPlcnkaTj4eDyWRyDwa7b9n5irtkaKH1gEGz3B1SCPfmPhJAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T12:48:39.574042Z","bundle_sha256":"8c176ae27ee098c8caa12db468500217bcc7c05f9eb7cab3b3688f7c688c0297"}}