{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:TLCPD5Q6NESMF7GQ6MSMOFQKJB","short_pith_number":"pith:TLCPD5Q6","canonical_record":{"source":{"id":"2304.12843","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"econ.TH","submitted_at":"2023-04-25T14:17:08Z","cross_cats_sorted":[],"title_canon_sha256":"32e5a628c465edcfd2ea389d7ee4956783029c0a369f70f09caaecee42c2cc63","abstract_canon_sha256":"1eea5aa344c11b9039b977fdf5dd836d03b1231e951649cabefd0d5fa61eab29"},"schema_version":"1.0"},"canonical_sha256":"9ac4f1f61e6924c2fcd0f324c7160a486f3c62c64c7b38d5d43f97ee9fff0ec2","source":{"kind":"arxiv","id":"2304.12843","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.12843","created_at":"2026-07-05T06:04:21Z"},{"alias_kind":"arxiv_version","alias_value":"2304.12843v1","created_at":"2026-07-05T06:04:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.12843","created_at":"2026-07-05T06:04:21Z"},{"alias_kind":"pith_short_12","alias_value":"TLCPD5Q6NESM","created_at":"2026-07-05T06:04:21Z"},{"alias_kind":"pith_short_16","alias_value":"TLCPD5Q6NESMF7GQ","created_at":"2026-07-05T06:04:21Z"},{"alias_kind":"pith_short_8","alias_value":"TLCPD5Q6","created_at":"2026-07-05T06:04:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:TLCPD5Q6NESMF7GQ6MSMOFQKJB","target":"record","payload":{"canonical_record":{"source":{"id":"2304.12843","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"econ.TH","submitted_at":"2023-04-25T14:17:08Z","cross_cats_sorted":[],"title_canon_sha256":"32e5a628c465edcfd2ea389d7ee4956783029c0a369f70f09caaecee42c2cc63","abstract_canon_sha256":"1eea5aa344c11b9039b977fdf5dd836d03b1231e951649cabefd0d5fa61eab29"},"schema_version":"1.0"},"canonical_sha256":"9ac4f1f61e6924c2fcd0f324c7160a486f3c62c64c7b38d5d43f97ee9fff0ec2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:04:21.582805Z","signature_b64":"2sFdVhwyTCFVipmC3DCsuxuVSqBOvc1klsTW+JQDUPpvjTALYGuxtT0M55woGZ9wAK9wCKruOUW8axFwLX0wDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ac4f1f61e6924c2fcd0f324c7160a486f3c62c64c7b38d5d43f97ee9fff0ec2","last_reissued_at":"2026-07-05T06:04:21.582336Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:04:21.582336Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2304.12843","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":"2026-07-05T06:04:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G3GBUWkNOG2Dh70/DQrFG0Y4QYrVH1tRa5QB8eSGSmfRxYmzJSbyrmNfDKAFoLPKMHEmEgl8kMlAdM5i7BRkCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T18:24:23.701972Z"},"content_sha256":"c7ff076a15d51756841347dc955d92eb7d1567a08adda3ac0b497e70b8ccb19a","schema_version":"1.0","event_id":"sha256:c7ff076a15d51756841347dc955d92eb7d1567a08adda3ac0b497e70b8ccb19a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:TLCPD5Q6NESMF7GQ6MSMOFQKJB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The structure of strategy-proof rules","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"econ.TH","authors_text":"Jorge Alcalde-Unzu, Marc Vorsatz","submitted_at":"2023-04-25T14:17:08Z","abstract_excerpt":"We establish that all strategy-proof social choice rules in strict preference domains follow necessarily a two-step procedure. In the first step, agents are asked to reveal some specific information about their preferences. Afterwards, a subrule that is dictatorial or strategy-proof of range 2 must be applied, and the selected subrule may differ depending on the answers of the first step. As a consequence, the strategy-proof rules that have been identified in the literature for some domains can be reinterpreted in terms of our procedure and, more importantly, this procedure serves as a guide f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.12843","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/2304.12843/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":"2026-07-05T06:04:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u85mj7fZDoBPhp17XjSWSOe/lAsNL8hV284z8N/ozXojod58tUvaMRGLY4ACTM/bVO1CqE87dFS6fNpCkcZbAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T18:24:23.702585Z"},"content_sha256":"b95d639ace3967a1963736e6f05d8643ae8aa02ee6c4c9e4a484a6498177d534","schema_version":"1.0","event_id":"sha256:b95d639ace3967a1963736e6f05d8643ae8aa02ee6c4c9e4a484a6498177d534"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TLCPD5Q6NESMF7GQ6MSMOFQKJB/bundle.json","state_url":"https://pith.science/pith/TLCPD5Q6NESMF7GQ6MSMOFQKJB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TLCPD5Q6NESMF7GQ6MSMOFQKJB/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":"2026-08-20T18:24:23Z","links":{"resolver":"https://pith.science/pith/TLCPD5Q6NESMF7GQ6MSMOFQKJB","bundle":"https://pith.science/pith/TLCPD5Q6NESMF7GQ6MSMOFQKJB/bundle.json","state":"https://pith.science/pith/TLCPD5Q6NESMF7GQ6MSMOFQKJB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TLCPD5Q6NESMF7GQ6MSMOFQKJB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:TLCPD5Q6NESMF7GQ6MSMOFQKJB","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":"1eea5aa344c11b9039b977fdf5dd836d03b1231e951649cabefd0d5fa61eab29","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"econ.TH","submitted_at":"2023-04-25T14:17:08Z","title_canon_sha256":"32e5a628c465edcfd2ea389d7ee4956783029c0a369f70f09caaecee42c2cc63"},"schema_version":"1.0","source":{"id":"2304.12843","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.12843","created_at":"2026-07-05T06:04:21Z"},{"alias_kind":"arxiv_version","alias_value":"2304.12843v1","created_at":"2026-07-05T06:04:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.12843","created_at":"2026-07-05T06:04:21Z"},{"alias_kind":"pith_short_12","alias_value":"TLCPD5Q6NESM","created_at":"2026-07-05T06:04:21Z"},{"alias_kind":"pith_short_16","alias_value":"TLCPD5Q6NESMF7GQ","created_at":"2026-07-05T06:04:21Z"},{"alias_kind":"pith_short_8","alias_value":"TLCPD5Q6","created_at":"2026-07-05T06:04:21Z"}],"graph_snapshots":[{"event_id":"sha256:b95d639ace3967a1963736e6f05d8643ae8aa02ee6c4c9e4a484a6498177d534","target":"graph","created_at":"2026-07-05T06:04:21Z","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/2304.12843/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We establish that all strategy-proof social choice rules in strict preference domains follow necessarily a two-step procedure. In the first step, agents are asked to reveal some specific information about their preferences. Afterwards, a subrule that is dictatorial or strategy-proof of range 2 must be applied, and the selected subrule may differ depending on the answers of the first step. As a consequence, the strategy-proof rules that have been identified in the literature for some domains can be reinterpreted in terms of our procedure and, more importantly, this procedure serves as a guide f","authors_text":"Jorge Alcalde-Unzu, Marc Vorsatz","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"econ.TH","submitted_at":"2023-04-25T14:17:08Z","title":"The structure of strategy-proof rules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.12843","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:c7ff076a15d51756841347dc955d92eb7d1567a08adda3ac0b497e70b8ccb19a","target":"record","created_at":"2026-07-05T06:04:21Z","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":"1eea5aa344c11b9039b977fdf5dd836d03b1231e951649cabefd0d5fa61eab29","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"econ.TH","submitted_at":"2023-04-25T14:17:08Z","title_canon_sha256":"32e5a628c465edcfd2ea389d7ee4956783029c0a369f70f09caaecee42c2cc63"},"schema_version":"1.0","source":{"id":"2304.12843","kind":"arxiv","version":1}},"canonical_sha256":"9ac4f1f61e6924c2fcd0f324c7160a486f3c62c64c7b38d5d43f97ee9fff0ec2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ac4f1f61e6924c2fcd0f324c7160a486f3c62c64c7b38d5d43f97ee9fff0ec2","first_computed_at":"2026-07-05T06:04:21.582336Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:04:21.582336Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2sFdVhwyTCFVipmC3DCsuxuVSqBOvc1klsTW+JQDUPpvjTALYGuxtT0M55woGZ9wAK9wCKruOUW8axFwLX0wDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:04:21.582805Z","signed_message":"canonical_sha256_bytes"},"source_id":"2304.12843","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7ff076a15d51756841347dc955d92eb7d1567a08adda3ac0b497e70b8ccb19a","sha256:b95d639ace3967a1963736e6f05d8643ae8aa02ee6c4c9e4a484a6498177d534"],"state_sha256":"c7122bbd4d953b3582b4c94d1375b77d8e06e0b9f50cfe5a59baa66b2b2708ad"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KqI/Bx7SMqGsyMoeq5nBuHWH+01HxlAE1mMjkSEpqhNXq1ejzVElxCsMb/9mQrhhy/DaurI8+UEnt/IqrqclDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T18:24:23.707571Z","bundle_sha256":"2bf8180c8786a29784f644938f72f1cc6310f752dedc01f1365d44c8c08661c3"}}