{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:SGNWGRHNRAW5AFCNKGHRBMP7VE","short_pith_number":"pith:SGNWGRHN","canonical_record":{"source":{"id":"2110.06551","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"econ.TH","submitted_at":"2021-10-13T08:04:59Z","cross_cats_sorted":[],"title_canon_sha256":"37826df0ccc63e17fcd20ecc010a8d9d208662d8541eb5158ddbf1cff9978122","abstract_canon_sha256":"bc13c2795274f527fd3435708481351af837dcb1d4852a6c5d87b54b1028fec6"},"schema_version":"1.0"},"canonical_sha256":"919b6344ed882dd0144d518f10b1ffa92ad7d17adb2a4cd9030b09db1b96317d","source":{"kind":"arxiv","id":"2110.06551","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2110.06551","created_at":"2026-07-05T03:46:14Z"},{"alias_kind":"arxiv_version","alias_value":"2110.06551v3","created_at":"2026-07-05T03:46:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.06551","created_at":"2026-07-05T03:46:14Z"},{"alias_kind":"pith_short_12","alias_value":"SGNWGRHNRAW5","created_at":"2026-07-05T03:46:14Z"},{"alias_kind":"pith_short_16","alias_value":"SGNWGRHNRAW5AFCN","created_at":"2026-07-05T03:46:14Z"},{"alias_kind":"pith_short_8","alias_value":"SGNWGRHN","created_at":"2026-07-05T03:46:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:SGNWGRHNRAW5AFCNKGHRBMP7VE","target":"record","payload":{"canonical_record":{"source":{"id":"2110.06551","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"econ.TH","submitted_at":"2021-10-13T08:04:59Z","cross_cats_sorted":[],"title_canon_sha256":"37826df0ccc63e17fcd20ecc010a8d9d208662d8541eb5158ddbf1cff9978122","abstract_canon_sha256":"bc13c2795274f527fd3435708481351af837dcb1d4852a6c5d87b54b1028fec6"},"schema_version":"1.0"},"canonical_sha256":"919b6344ed882dd0144d518f10b1ffa92ad7d17adb2a4cd9030b09db1b96317d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:46:14.234211Z","signature_b64":"xB+NoaadRRG/YTrgmtgKVnkzSPFvShUh5xTVOZsJBTEgDQz+q3I6Q8NfnvyHd+3Dg2YtBWHbqeX58bXSliKDBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"919b6344ed882dd0144d518f10b1ffa92ad7d17adb2a4cd9030b09db1b96317d","last_reissued_at":"2026-07-05T03:46:14.233762Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:46:14.233762Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2110.06551","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:46:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L4qc8/6ZsXUXXHsfP06YcD7ccFgaCb3WoKmOQ+xS1cqFR7KdIEfI3kQ5radIUN2z5qG1DeZRsxY4rraBDyFGDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T06:45:11.985323Z"},"content_sha256":"ca696b65a5ce9aefbab20564fd73e9a74e9932e52952ee782a5cb3a8b20ac5b1","schema_version":"1.0","event_id":"sha256:ca696b65a5ce9aefbab20564fd73e9a74e9932e52952ee782a5cb3a8b20ac5b1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:SGNWGRHNRAW5AFCNKGHRBMP7VE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Maskin Meets Abreu and Matsushima","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"econ.TH","authors_text":"Siyang Xiong, Takashi Kunimoto, Yi-Chun Chen, Yifei Sun","submitted_at":"2021-10-13T08:04:59Z","abstract_excerpt":"The theory of full implementation has been criticized for using integer/modulo games which admit no equilibrium (Jackson (1992)). To address the critique, we revisit the classical Nash implementation problem due to Maskin (1999) but allow for the use of lotteries and monetary transfers as in Abreu and Matsushima (1992, 1994). We unify the two well-established but somewhat orthogonal approaches in full implementation theory. We show that Maskin monotonicity is a necessary and sufficient condition for (exact) mixed-strategy Nash implementation by a finite mechanism. In contrast to previous paper"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.06551","kind":"arxiv","version":3},"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/2110.06551/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":"2026-07-05T03:46:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uHps3P/EpfjvNqju7XDCqIvVHqZ8OcsJ2Dc7NeRKKqQNG8/SuMFtA8IuQUqMOTjYn2LTAHMFEQ7dk/2qRcPBCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T06:45:11.985838Z"},"content_sha256":"41e6a5b74e6cd00c59670529c9ea8f33497893d0b1013d62bd60c9adc53d2246","schema_version":"1.0","event_id":"sha256:41e6a5b74e6cd00c59670529c9ea8f33497893d0b1013d62bd60c9adc53d2246"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SGNWGRHNRAW5AFCNKGHRBMP7VE/bundle.json","state_url":"https://pith.science/pith/SGNWGRHNRAW5AFCNKGHRBMP7VE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SGNWGRHNRAW5AFCNKGHRBMP7VE/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":"2026-08-14T06:45:11Z","links":{"resolver":"https://pith.science/pith/SGNWGRHNRAW5AFCNKGHRBMP7VE","bundle":"https://pith.science/pith/SGNWGRHNRAW5AFCNKGHRBMP7VE/bundle.json","state":"https://pith.science/pith/SGNWGRHNRAW5AFCNKGHRBMP7VE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SGNWGRHNRAW5AFCNKGHRBMP7VE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:SGNWGRHNRAW5AFCNKGHRBMP7VE","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":"bc13c2795274f527fd3435708481351af837dcb1d4852a6c5d87b54b1028fec6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"econ.TH","submitted_at":"2021-10-13T08:04:59Z","title_canon_sha256":"37826df0ccc63e17fcd20ecc010a8d9d208662d8541eb5158ddbf1cff9978122"},"schema_version":"1.0","source":{"id":"2110.06551","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2110.06551","created_at":"2026-07-05T03:46:14Z"},{"alias_kind":"arxiv_version","alias_value":"2110.06551v3","created_at":"2026-07-05T03:46:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.06551","created_at":"2026-07-05T03:46:14Z"},{"alias_kind":"pith_short_12","alias_value":"SGNWGRHNRAW5","created_at":"2026-07-05T03:46:14Z"},{"alias_kind":"pith_short_16","alias_value":"SGNWGRHNRAW5AFCN","created_at":"2026-07-05T03:46:14Z"},{"alias_kind":"pith_short_8","alias_value":"SGNWGRHN","created_at":"2026-07-05T03:46:14Z"}],"graph_snapshots":[{"event_id":"sha256:41e6a5b74e6cd00c59670529c9ea8f33497893d0b1013d62bd60c9adc53d2246","target":"graph","created_at":"2026-07-05T03:46:14Z","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/2110.06551/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The theory of full implementation has been criticized for using integer/modulo games which admit no equilibrium (Jackson (1992)). To address the critique, we revisit the classical Nash implementation problem due to Maskin (1999) but allow for the use of lotteries and monetary transfers as in Abreu and Matsushima (1992, 1994). We unify the two well-established but somewhat orthogonal approaches in full implementation theory. We show that Maskin monotonicity is a necessary and sufficient condition for (exact) mixed-strategy Nash implementation by a finite mechanism. In contrast to previous paper","authors_text":"Siyang Xiong, Takashi Kunimoto, Yi-Chun Chen, Yifei Sun","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"econ.TH","submitted_at":"2021-10-13T08:04:59Z","title":"Maskin Meets Abreu and Matsushima"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.06551","kind":"arxiv","version":3},"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:ca696b65a5ce9aefbab20564fd73e9a74e9932e52952ee782a5cb3a8b20ac5b1","target":"record","created_at":"2026-07-05T03:46:14Z","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":"bc13c2795274f527fd3435708481351af837dcb1d4852a6c5d87b54b1028fec6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"econ.TH","submitted_at":"2021-10-13T08:04:59Z","title_canon_sha256":"37826df0ccc63e17fcd20ecc010a8d9d208662d8541eb5158ddbf1cff9978122"},"schema_version":"1.0","source":{"id":"2110.06551","kind":"arxiv","version":3}},"canonical_sha256":"919b6344ed882dd0144d518f10b1ffa92ad7d17adb2a4cd9030b09db1b96317d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"919b6344ed882dd0144d518f10b1ffa92ad7d17adb2a4cd9030b09db1b96317d","first_computed_at":"2026-07-05T03:46:14.233762Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:46:14.233762Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xB+NoaadRRG/YTrgmtgKVnkzSPFvShUh5xTVOZsJBTEgDQz+q3I6Q8NfnvyHd+3Dg2YtBWHbqeX58bXSliKDBw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:46:14.234211Z","signed_message":"canonical_sha256_bytes"},"source_id":"2110.06551","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca696b65a5ce9aefbab20564fd73e9a74e9932e52952ee782a5cb3a8b20ac5b1","sha256:41e6a5b74e6cd00c59670529c9ea8f33497893d0b1013d62bd60c9adc53d2246"],"state_sha256":"d933d5e2a3e8ce842f6e43275edf955eb4267cff98f9a931f43fac2c1d651684"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FvgD8WCkp+QljhHHb+V+nYy77g/QSbaMCtEiHJgG7o25Xz2Q+G9PTrmcDHd3ghWJlbPqEn9aBkjQIy7w4oCwBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T06:45:11.990276Z","bundle_sha256":"96f159099595e935e7b0250ed4bf08947eb5a450791065eb299eff1a807cc7a5"}}