{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:YNSSANWOWLG4CPFJNPBK6Q24XG","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":"1dd680e3b8bfc86b62564b061ac4dc05d2468e8f08597020bae0187b7dd2e00b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.TH","submitted_at":"2026-06-30T07:45:31Z","title_canon_sha256":"6ba2db6abcbb18eb38b01df0b7632ceac3eed65b143bd44ba15d77994506f05c"},"schema_version":"1.0","source":{"id":"2606.31271","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.31271","created_at":"2026-07-01T01:17:57Z"},{"alias_kind":"arxiv_version","alias_value":"2606.31271v1","created_at":"2026-07-01T01:17:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.31271","created_at":"2026-07-01T01:17:57Z"},{"alias_kind":"pith_short_12","alias_value":"YNSSANWOWLG4","created_at":"2026-07-01T01:17:57Z"},{"alias_kind":"pith_short_16","alias_value":"YNSSANWOWLG4CPFJ","created_at":"2026-07-01T01:17:57Z"},{"alias_kind":"pith_short_8","alias_value":"YNSSANWO","created_at":"2026-07-01T01:17:57Z"}],"graph_snapshots":[{"event_id":"sha256:90af522d1e8b9a3d9a8afd44f27e7dd548c286b922fd69ee3c92c632e2c25375","target":"graph","created_at":"2026-07-01T01:17:57Z","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/2606.31271/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Goto and Nakada (2026) showed that the Baldwin rule can be characterized using Neutrality}, Bottom Consistency, Faithfulness, Cancellation and Bottom Independence. While their proof relies on the technique of linear algebra and graph theory, in this note, we provide a simpler proof using purely combinatorial arguments based on permutations and amplified preference profiles, thereby providing a more transparent proof of the characterization.","authors_text":"Leo Goto, Satoshi Nakada","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.TH","submitted_at":"2026-06-30T07:45:31Z","title":"Note on an Axiomatization of the Baldwin Rule"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.31271","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":"sha256:5e74662eea90820c0f9b606009a873f9a96bb4bae7a789ae605c32c28225eefd","target":"record","created_at":"2026-07-01T01:17:57Z","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":"1dd680e3b8bfc86b62564b061ac4dc05d2468e8f08597020bae0187b7dd2e00b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.TH","submitted_at":"2026-06-30T07:45:31Z","title_canon_sha256":"6ba2db6abcbb18eb38b01df0b7632ceac3eed65b143bd44ba15d77994506f05c"},"schema_version":"1.0","source":{"id":"2606.31271","kind":"arxiv","version":1}},"canonical_sha256":"c3652036ceb2cdc13ca96bc2af435cb990def48c993591a63803dcae592197c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3652036ceb2cdc13ca96bc2af435cb990def48c993591a63803dcae592197c0","first_computed_at":"2026-07-01T01:17:57.696474Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-01T01:17:57.696474Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pc4C92tO8Kp/5dZEUwaYySzd/3x66LVHULMS3ziP5I3hLN48GLImjZOTAZzmBWv+XgksJBSJPqQFQ+6/eK7BBA==","signature_status":"signed_v1","signed_at":"2026-07-01T01:17:57.696877Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.31271","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e74662eea90820c0f9b606009a873f9a96bb4bae7a789ae605c32c28225eefd","sha256:90af522d1e8b9a3d9a8afd44f27e7dd548c286b922fd69ee3c92c632e2c25375"],"state_sha256":"70f9d22de34d685e157536b3ccdb9932804b7d2c194f6087edd550c214a31350"}