{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:XFSUNY674BJRXEX6RA5ZJCJO4M","short_pith_number":"pith:XFSUNY67","canonical_record":{"source":{"id":"2606.30074","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.TH","submitted_at":"2026-06-29T10:05:57Z","cross_cats_sorted":[],"title_canon_sha256":"728859f2a6a2e0d1d0f2ce475e54b00153e6f21226ca5a60916b22fc8254becb","abstract_canon_sha256":"d6a31bda8ab60190785efe4e309e7be06ef226196fbb257e2c14b421daec0f88"},"schema_version":"1.0"},"canonical_sha256":"b96546e3dfe0531b92fe883b94892ee30f7558448b01fd9f8bf81cbc83f331d1","source":{"kind":"arxiv","id":"2606.30074","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.30074","created_at":"2026-06-30T02:17:48Z"},{"alias_kind":"arxiv_version","alias_value":"2606.30074v1","created_at":"2026-06-30T02:17:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.30074","created_at":"2026-06-30T02:17:48Z"},{"alias_kind":"pith_short_12","alias_value":"XFSUNY674BJR","created_at":"2026-06-30T02:17:48Z"},{"alias_kind":"pith_short_16","alias_value":"XFSUNY674BJRXEX6","created_at":"2026-06-30T02:17:48Z"},{"alias_kind":"pith_short_8","alias_value":"XFSUNY67","created_at":"2026-06-30T02:17:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:XFSUNY674BJRXEX6RA5ZJCJO4M","target":"record","payload":{"canonical_record":{"source":{"id":"2606.30074","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.TH","submitted_at":"2026-06-29T10:05:57Z","cross_cats_sorted":[],"title_canon_sha256":"728859f2a6a2e0d1d0f2ce475e54b00153e6f21226ca5a60916b22fc8254becb","abstract_canon_sha256":"d6a31bda8ab60190785efe4e309e7be06ef226196fbb257e2c14b421daec0f88"},"schema_version":"1.0"},"canonical_sha256":"b96546e3dfe0531b92fe883b94892ee30f7558448b01fd9f8bf81cbc83f331d1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-30T02:17:48.410392Z","signature_b64":"WO6xJhe1mQTe5Vs6qJX9sX5tLo2w5A9dcnrLYUGR3LxUl1N3dwFDCVNroKfuWBuDOWM823Sfyagdv+LimGUeBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b96546e3dfe0531b92fe883b94892ee30f7558448b01fd9f8bf81cbc83f331d1","last_reissued_at":"2026-06-30T02:17:48.409927Z","signature_status":"signed_v1","first_computed_at":"2026-06-30T02:17:48.409927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.30074","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":"2026-06-30T02:17:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YLHvFvu7NDlkcS8D2EV2V1hLlwAhf/TPursP88BpL7DREQ/3C88CvzE8d6hSCwOHVwDm/CgO0Esc6DJcsyQtDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T11:05:56.854225Z"},"content_sha256":"f6e1ffb1a745927acb8545ca388f8d317719a83927d2ed34c886cbae4c36542b","schema_version":"1.0","event_id":"sha256:f6e1ffb1a745927acb8545ca388f8d317719a83927d2ed34c886cbae4c36542b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:XFSUNY674BJRXEX6RA5ZJCJO4M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spectral Aggregation of Quantile Preferences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"econ.TH","authors_text":"Van-Quy Nguyen","submitted_at":"2026-06-29T10:05:57Z","abstract_excerpt":"Many collective decisions under risk are made by people who care about different parts of the outcome distribution: downside losses, typical performance, or upside gains. This paper models this disagreement with quantile preferences and studies how the represented quantile levels can be aggregated. Our main result is a spectral support theorem: a spectral social aggregation satisfies the Pareto principle if and only if its social spectrum puts mass only on quantile levels represented in society. Hence, Pareto consistency makes representative-quantile aggregation a dictatorial case. In addition"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.30074","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/2606.30074/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":"2026-06-30T02:17:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WIR5d2HLcaykxoNsLyXR9V/vtRrQ5cKtsVbjIejnpyCI6afim7SVfH2FfI/JEy5hNqPyYx48q3owIHbb/AI4Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T11:05:56.854605Z"},"content_sha256":"4c077b42283a64bd4509da1d9af4902b0858ec1dd6173d598896f01ad18c51df","schema_version":"1.0","event_id":"sha256:4c077b42283a64bd4509da1d9af4902b0858ec1dd6173d598896f01ad18c51df"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XFSUNY674BJRXEX6RA5ZJCJO4M/bundle.json","state_url":"https://pith.science/pith/XFSUNY674BJRXEX6RA5ZJCJO4M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XFSUNY674BJRXEX6RA5ZJCJO4M/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":"2026-07-07T11:05:56Z","links":{"resolver":"https://pith.science/pith/XFSUNY674BJRXEX6RA5ZJCJO4M","bundle":"https://pith.science/pith/XFSUNY674BJRXEX6RA5ZJCJO4M/bundle.json","state":"https://pith.science/pith/XFSUNY674BJRXEX6RA5ZJCJO4M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XFSUNY674BJRXEX6RA5ZJCJO4M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:XFSUNY674BJRXEX6RA5ZJCJO4M","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":"d6a31bda8ab60190785efe4e309e7be06ef226196fbb257e2c14b421daec0f88","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.TH","submitted_at":"2026-06-29T10:05:57Z","title_canon_sha256":"728859f2a6a2e0d1d0f2ce475e54b00153e6f21226ca5a60916b22fc8254becb"},"schema_version":"1.0","source":{"id":"2606.30074","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.30074","created_at":"2026-06-30T02:17:48Z"},{"alias_kind":"arxiv_version","alias_value":"2606.30074v1","created_at":"2026-06-30T02:17:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.30074","created_at":"2026-06-30T02:17:48Z"},{"alias_kind":"pith_short_12","alias_value":"XFSUNY674BJR","created_at":"2026-06-30T02:17:48Z"},{"alias_kind":"pith_short_16","alias_value":"XFSUNY674BJRXEX6","created_at":"2026-06-30T02:17:48Z"},{"alias_kind":"pith_short_8","alias_value":"XFSUNY67","created_at":"2026-06-30T02:17:48Z"}],"graph_snapshots":[{"event_id":"sha256:4c077b42283a64bd4509da1d9af4902b0858ec1dd6173d598896f01ad18c51df","target":"graph","created_at":"2026-06-30T02:17:48Z","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/2606.30074/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Many collective decisions under risk are made by people who care about different parts of the outcome distribution: downside losses, typical performance, or upside gains. This paper models this disagreement with quantile preferences and studies how the represented quantile levels can be aggregated. Our main result is a spectral support theorem: a spectral social aggregation satisfies the Pareto principle if and only if its social spectrum puts mass only on quantile levels represented in society. Hence, Pareto consistency makes representative-quantile aggregation a dictatorial case. In addition","authors_text":"Van-Quy Nguyen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.TH","submitted_at":"2026-06-29T10:05:57Z","title":"Spectral Aggregation of Quantile Preferences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.30074","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:f6e1ffb1a745927acb8545ca388f8d317719a83927d2ed34c886cbae4c36542b","target":"record","created_at":"2026-06-30T02:17:48Z","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":"d6a31bda8ab60190785efe4e309e7be06ef226196fbb257e2c14b421daec0f88","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.TH","submitted_at":"2026-06-29T10:05:57Z","title_canon_sha256":"728859f2a6a2e0d1d0f2ce475e54b00153e6f21226ca5a60916b22fc8254becb"},"schema_version":"1.0","source":{"id":"2606.30074","kind":"arxiv","version":1}},"canonical_sha256":"b96546e3dfe0531b92fe883b94892ee30f7558448b01fd9f8bf81cbc83f331d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b96546e3dfe0531b92fe883b94892ee30f7558448b01fd9f8bf81cbc83f331d1","first_computed_at":"2026-06-30T02:17:48.409927Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T02:17:48.409927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WO6xJhe1mQTe5Vs6qJX9sX5tLo2w5A9dcnrLYUGR3LxUl1N3dwFDCVNroKfuWBuDOWM823Sfyagdv+LimGUeBQ==","signature_status":"signed_v1","signed_at":"2026-06-30T02:17:48.410392Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.30074","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f6e1ffb1a745927acb8545ca388f8d317719a83927d2ed34c886cbae4c36542b","sha256:4c077b42283a64bd4509da1d9af4902b0858ec1dd6173d598896f01ad18c51df"],"state_sha256":"95e86966f8a6bba6a9b7c045ca514fa7748cc7c4f42959dfb22d205c509c5a2c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G2QeOBKqe8kwifo+W2TFjfNQzbnHRUROUXQdVF4KakC2UXrExzwP+t4PeQId2Vpt0buSJ+ZpOxYzHSI18DJnCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T11:05:56.856652Z","bundle_sha256":"971232107a9693c9563c24554287e6febd61f04a1456183c5f8ab79da0bdabdf"}}