{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:HRO5X3J7IGHGC27HL72TZIOAPY","short_pith_number":"pith:HRO5X3J7","canonical_record":{"source":{"id":"2606.10092","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-08T19:17:26Z","cross_cats_sorted":["econ.GN","q-fin.EC"],"title_canon_sha256":"56f8ae239e30a9ad2391756553d59184c5be09e290df66ce0df8db921dcbe15b","abstract_canon_sha256":"ed0b4f97533868d71f9f8ec2739fc5cac293532e56b17f37692d4f66d6e4f826"},"schema_version":"1.0"},"canonical_sha256":"3c5ddbed3f418e616be75ff53ca1c07e0b8ea3437e63ec0e4f7d842a2adc2151","source":{"kind":"arxiv","id":"2606.10092","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.10092","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"arxiv_version","alias_value":"2606.10092v1","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.10092","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"pith_short_12","alias_value":"HRO5X3J7IGHG","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"pith_short_16","alias_value":"HRO5X3J7IGHGC27H","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"pith_short_8","alias_value":"HRO5X3J7","created_at":"2026-06-10T00:08:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:HRO5X3J7IGHGC27HL72TZIOAPY","target":"record","payload":{"canonical_record":{"source":{"id":"2606.10092","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-08T19:17:26Z","cross_cats_sorted":["econ.GN","q-fin.EC"],"title_canon_sha256":"56f8ae239e30a9ad2391756553d59184c5be09e290df66ce0df8db921dcbe15b","abstract_canon_sha256":"ed0b4f97533868d71f9f8ec2739fc5cac293532e56b17f37692d4f66d6e4f826"},"schema_version":"1.0"},"canonical_sha256":"3c5ddbed3f418e616be75ff53ca1c07e0b8ea3437e63ec0e4f7d842a2adc2151","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-10T00:08:48.830160Z","signature_b64":"uUcZ5tfo7RzE7FLrCHBXoAeIyJUS6zJ1iXxqtTfXIBeNSgkIa4i6WvJe608fl2NPMRXhyfegZyXrp2yB9wVGAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c5ddbed3f418e616be75ff53ca1c07e0b8ea3437e63ec0e4f7d842a2adc2151","last_reissued_at":"2026-06-10T00:08:48.829353Z","signature_status":"signed_v1","first_computed_at":"2026-06-10T00:08:48.829353Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.10092","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":"2026-06-10T00:08:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VSteNxE5aNxblXFHbeE0/X1RUOFq4rjvY4gVzHfzbP8zvFdxrACcD4U7DGfilF7DfZ1SkXgww1XbT5JjfJx3AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T03:37:26.663198Z"},"content_sha256":"7597143be1c9398fb25bf57633c71dde03a242da6c63906ea711ff2b4b17a1b4","schema_version":"1.0","event_id":"sha256:7597143be1c9398fb25bf57633c71dde03a242da6c63906ea711ff2b4b17a1b4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:HRO5X3J7IGHGC27HL72TZIOAPY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Decision-Making under Combinatorial Risk","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["econ.GN","q-fin.EC"],"primary_cat":"cs.LG","authors_text":"Chen Wang, Hongmiao Fan, Yifan Hong","submitted_at":"2026-06-08T19:17:26Z","abstract_excerpt":"Decision-making under risk is typically studied through single-shot lottery choices. Yet many real decisions involve combinatorial risk, where risk arises from multiple risky components, so the lottery over outcomes is induced rather than given outright and can be costly to evaluate exactly. We introduce an investment-allocation task to study decision under combinatorial risk, where investing in a component raises its success probability and thereby reshapes the outcome distribution. Participants favor the option with the larger probability increment, and, when increments are equal, the option"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.10092","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.10092/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":"2026-06-10T00:08:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ljLMnnft9OrrbWCaFdAeJRoTgoPQ98tsKNf83zy/DgnbS0CnFXXysWa4ScPW0vpegeGFSUaojak/DVac9GoYBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T03:37:26.663963Z"},"content_sha256":"c65bed045a0442cd353120f8e59bc4fb6da56b78b8ac6d356f9c99e8d51739a5","schema_version":"1.0","event_id":"sha256:c65bed045a0442cd353120f8e59bc4fb6da56b78b8ac6d356f9c99e8d51739a5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HRO5X3J7IGHGC27HL72TZIOAPY/bundle.json","state_url":"https://pith.science/pith/HRO5X3J7IGHGC27HL72TZIOAPY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HRO5X3J7IGHGC27HL72TZIOAPY/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":"2026-06-12T03:37:26Z","links":{"resolver":"https://pith.science/pith/HRO5X3J7IGHGC27HL72TZIOAPY","bundle":"https://pith.science/pith/HRO5X3J7IGHGC27HL72TZIOAPY/bundle.json","state":"https://pith.science/pith/HRO5X3J7IGHGC27HL72TZIOAPY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HRO5X3J7IGHGC27HL72TZIOAPY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:HRO5X3J7IGHGC27HL72TZIOAPY","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":"ed0b4f97533868d71f9f8ec2739fc5cac293532e56b17f37692d4f66d6e4f826","cross_cats_sorted":["econ.GN","q-fin.EC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-08T19:17:26Z","title_canon_sha256":"56f8ae239e30a9ad2391756553d59184c5be09e290df66ce0df8db921dcbe15b"},"schema_version":"1.0","source":{"id":"2606.10092","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.10092","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"arxiv_version","alias_value":"2606.10092v1","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.10092","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"pith_short_12","alias_value":"HRO5X3J7IGHG","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"pith_short_16","alias_value":"HRO5X3J7IGHGC27H","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"pith_short_8","alias_value":"HRO5X3J7","created_at":"2026-06-10T00:08:48Z"}],"graph_snapshots":[{"event_id":"sha256:c65bed045a0442cd353120f8e59bc4fb6da56b78b8ac6d356f9c99e8d51739a5","target":"graph","created_at":"2026-06-10T00:08:48Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.10092/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Decision-making under risk is typically studied through single-shot lottery choices. Yet many real decisions involve combinatorial risk, where risk arises from multiple risky components, so the lottery over outcomes is induced rather than given outright and can be costly to evaluate exactly. We introduce an investment-allocation task to study decision under combinatorial risk, where investing in a component raises its success probability and thereby reshapes the outcome distribution. Participants favor the option with the larger probability increment, and, when increments are equal, the option","authors_text":"Chen Wang, Hongmiao Fan, Yifan Hong","cross_cats":["econ.GN","q-fin.EC"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-08T19:17:26Z","title":"Decision-Making under Combinatorial Risk"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.10092","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":"sha256:7597143be1c9398fb25bf57633c71dde03a242da6c63906ea711ff2b4b17a1b4","target":"record","created_at":"2026-06-10T00:08:48Z","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":"ed0b4f97533868d71f9f8ec2739fc5cac293532e56b17f37692d4f66d6e4f826","cross_cats_sorted":["econ.GN","q-fin.EC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-08T19:17:26Z","title_canon_sha256":"56f8ae239e30a9ad2391756553d59184c5be09e290df66ce0df8db921dcbe15b"},"schema_version":"1.0","source":{"id":"2606.10092","kind":"arxiv","version":1}},"canonical_sha256":"3c5ddbed3f418e616be75ff53ca1c07e0b8ea3437e63ec0e4f7d842a2adc2151","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c5ddbed3f418e616be75ff53ca1c07e0b8ea3437e63ec0e4f7d842a2adc2151","first_computed_at":"2026-06-10T00:08:48.829353Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-10T00:08:48.829353Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uUcZ5tfo7RzE7FLrCHBXoAeIyJUS6zJ1iXxqtTfXIBeNSgkIa4i6WvJe608fl2NPMRXhyfegZyXrp2yB9wVGAQ==","signature_status":"signed_v1","signed_at":"2026-06-10T00:08:48.830160Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.10092","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7597143be1c9398fb25bf57633c71dde03a242da6c63906ea711ff2b4b17a1b4","sha256:c65bed045a0442cd353120f8e59bc4fb6da56b78b8ac6d356f9c99e8d51739a5"],"state_sha256":"015e8db924f5d9f689481b554d8ddfd3eece08a44e624eb100f27deeb3c0d1cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lZu3mbhHcvmHXXPxvnvyg5z75TVwnNAwsXw+olN5ROPyvGb6xEXRSLuJKzbID8nv/qbizZIYU5DUGl5gI5GDCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T03:37:26.668257Z","bundle_sha256":"1702a8027b9cade527edc3dbe047580e9f9564bd6a3c25fc28ec7ce42cfdcfed"}}