{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:WRLIE2SDOKTFHOHFQTRGBITUOW","short_pith_number":"pith:WRLIE2SD","canonical_record":{"source":{"id":"2208.05656","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2022-08-11T06:27:11Z","cross_cats_sorted":["math.PR","q-fin.MF"],"title_canon_sha256":"54cda48eb51d15971c582ab624e3efbf54f1f2e8d5fe8340d01ac7f2ab7ba80e","abstract_canon_sha256":"a32c1e1854e377af32825af8897a95972d9771f7439203e6740675711667d061"},"schema_version":"1.0"},"canonical_sha256":"b456826a4372a653b8e584e260a27475b36f54f54ca2b347fc675927cf27a414","source":{"kind":"arxiv","id":"2208.05656","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.05656","created_at":"2026-07-05T06:21:13Z"},{"alias_kind":"arxiv_version","alias_value":"2208.05656v2","created_at":"2026-07-05T06:21:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.05656","created_at":"2026-07-05T06:21:13Z"},{"alias_kind":"pith_short_12","alias_value":"WRLIE2SDOKTF","created_at":"2026-07-05T06:21:13Z"},{"alias_kind":"pith_short_16","alias_value":"WRLIE2SDOKTFHOHF","created_at":"2026-07-05T06:21:13Z"},{"alias_kind":"pith_short_8","alias_value":"WRLIE2SD","created_at":"2026-07-05T06:21:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:WRLIE2SDOKTFHOHFQTRGBITUOW","target":"record","payload":{"canonical_record":{"source":{"id":"2208.05656","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2022-08-11T06:27:11Z","cross_cats_sorted":["math.PR","q-fin.MF"],"title_canon_sha256":"54cda48eb51d15971c582ab624e3efbf54f1f2e8d5fe8340d01ac7f2ab7ba80e","abstract_canon_sha256":"a32c1e1854e377af32825af8897a95972d9771f7439203e6740675711667d061"},"schema_version":"1.0"},"canonical_sha256":"b456826a4372a653b8e584e260a27475b36f54f54ca2b347fc675927cf27a414","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:21:13.302502Z","signature_b64":"dm2kQrUUCcQh0168gKqhT5urjOBgLRlximV6Wx8WLA9uaqde14N5cnvxqEYeTFavQVIwHHTvxjHIx+z+30ITAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b456826a4372a653b8e584e260a27475b36f54f54ca2b347fc675927cf27a414","last_reissued_at":"2026-07-05T06:21:13.302041Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:21:13.302041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2208.05656","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":"2026-07-05T06:21:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"becxI8WJdK+/cpse5WqSofHHE2YZY8p8xquGYRAs02FvgppLvrERmqOtAznPMbpXEhKl9/+IjUQ1SaRrq3EJCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T12:42:18.570541Z"},"content_sha256":"66df740a9cac346c07e319eb616449046657c34b69f77b6d44087c998684819a","schema_version":"1.0","event_id":"sha256:66df740a9cac346c07e319eb616449046657c34b69f77b6d44087c998684819a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:WRLIE2SDOKTFHOHFQTRGBITUOW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sensitivity of multiperiod optimization problems in adapted Wasserstein distance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","q-fin.MF"],"primary_cat":"math.OC","authors_text":"Daniel Bartl, Johannes Wiesel","submitted_at":"2022-08-11T06:27:11Z","abstract_excerpt":"We analyze the effect of small changes in the underlying probabilistic model on the value of multi-period stochastic optimization problems and optimal stopping problems. We work in finite discrete time and measure these changes with the adapted Wasserstein distance. We prove explicit first-order approximations for both problems. Expected utility maximization is discussed as a special case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.05656","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2208.05656/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T06:21:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8ih3Q5Tlo39HPO3OzKdLzxdf159R1df2vIRpyZVW84pax9jHCzAflfG5Pq8tgs316BWsQK8cC/pTHk/XdU7lAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T12:42:18.571415Z"},"content_sha256":"d3da37e9e8158855dbe2b8ce2090371711ea38e24cdceb6ce1765eb9dc1460da","schema_version":"1.0","event_id":"sha256:d3da37e9e8158855dbe2b8ce2090371711ea38e24cdceb6ce1765eb9dc1460da"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WRLIE2SDOKTFHOHFQTRGBITUOW/bundle.json","state_url":"https://pith.science/pith/WRLIE2SDOKTFHOHFQTRGBITUOW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WRLIE2SDOKTFHOHFQTRGBITUOW/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":"2026-08-10T12:42:18Z","links":{"resolver":"https://pith.science/pith/WRLIE2SDOKTFHOHFQTRGBITUOW","bundle":"https://pith.science/pith/WRLIE2SDOKTFHOHFQTRGBITUOW/bundle.json","state":"https://pith.science/pith/WRLIE2SDOKTFHOHFQTRGBITUOW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WRLIE2SDOKTFHOHFQTRGBITUOW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:WRLIE2SDOKTFHOHFQTRGBITUOW","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":"a32c1e1854e377af32825af8897a95972d9771f7439203e6740675711667d061","cross_cats_sorted":["math.PR","q-fin.MF"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2022-08-11T06:27:11Z","title_canon_sha256":"54cda48eb51d15971c582ab624e3efbf54f1f2e8d5fe8340d01ac7f2ab7ba80e"},"schema_version":"1.0","source":{"id":"2208.05656","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.05656","created_at":"2026-07-05T06:21:13Z"},{"alias_kind":"arxiv_version","alias_value":"2208.05656v2","created_at":"2026-07-05T06:21:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.05656","created_at":"2026-07-05T06:21:13Z"},{"alias_kind":"pith_short_12","alias_value":"WRLIE2SDOKTF","created_at":"2026-07-05T06:21:13Z"},{"alias_kind":"pith_short_16","alias_value":"WRLIE2SDOKTFHOHF","created_at":"2026-07-05T06:21:13Z"},{"alias_kind":"pith_short_8","alias_value":"WRLIE2SD","created_at":"2026-07-05T06:21:13Z"}],"graph_snapshots":[{"event_id":"sha256:d3da37e9e8158855dbe2b8ce2090371711ea38e24cdceb6ce1765eb9dc1460da","target":"graph","created_at":"2026-07-05T06:21:13Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2208.05656/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We analyze the effect of small changes in the underlying probabilistic model on the value of multi-period stochastic optimization problems and optimal stopping problems. We work in finite discrete time and measure these changes with the adapted Wasserstein distance. We prove explicit first-order approximations for both problems. Expected utility maximization is discussed as a special case.","authors_text":"Daniel Bartl, Johannes Wiesel","cross_cats":["math.PR","q-fin.MF"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2022-08-11T06:27:11Z","title":"Sensitivity of multiperiod optimization problems in adapted Wasserstein distance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.05656","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":"sha256:66df740a9cac346c07e319eb616449046657c34b69f77b6d44087c998684819a","target":"record","created_at":"2026-07-05T06:21:13Z","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":"a32c1e1854e377af32825af8897a95972d9771f7439203e6740675711667d061","cross_cats_sorted":["math.PR","q-fin.MF"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2022-08-11T06:27:11Z","title_canon_sha256":"54cda48eb51d15971c582ab624e3efbf54f1f2e8d5fe8340d01ac7f2ab7ba80e"},"schema_version":"1.0","source":{"id":"2208.05656","kind":"arxiv","version":2}},"canonical_sha256":"b456826a4372a653b8e584e260a27475b36f54f54ca2b347fc675927cf27a414","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b456826a4372a653b8e584e260a27475b36f54f54ca2b347fc675927cf27a414","first_computed_at":"2026-07-05T06:21:13.302041Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:21:13.302041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dm2kQrUUCcQh0168gKqhT5urjOBgLRlximV6Wx8WLA9uaqde14N5cnvxqEYeTFavQVIwHHTvxjHIx+z+30ITAw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:21:13.302502Z","signed_message":"canonical_sha256_bytes"},"source_id":"2208.05656","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:66df740a9cac346c07e319eb616449046657c34b69f77b6d44087c998684819a","sha256:d3da37e9e8158855dbe2b8ce2090371711ea38e24cdceb6ce1765eb9dc1460da"],"state_sha256":"040559dc020c95aeee70b55f4fe103f8fe6af38236e3aee2e01fc780261afbde"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8PQdHudyQlOxg4gCUmLli6J7J9jcMJ0LoKw16uMpUelwzX8WBFb4X6RFZRaHBmqOH8wzQM/Y9d51ImOFTHO1Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T12:42:18.581408Z","bundle_sha256":"d96df7d6fecae80e5de2532addcfa9a58904b0a90d2bb7eefe84e78f7f5a0393"}}