{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4MUDX6ARIFHHCWQA7LM3EY2OVV","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":"f3555f36d6f27f87c63059909308fccd265b769c43efe10ed560e75ec44676a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-01-04T05:54:53Z","title_canon_sha256":"fa0f074ea04a4107bb142c0246f2d8f05406de8fbc4706827c56b961e8758d28"},"schema_version":"1.0","source":{"id":"1601.00385","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.00385","created_at":"2026-05-18T00:50:57Z"},{"alias_kind":"arxiv_version","alias_value":"1601.00385v3","created_at":"2026-05-18T00:50:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00385","created_at":"2026-05-18T00:50:57Z"},{"alias_kind":"pith_short_12","alias_value":"4MUDX6ARIFHH","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4MUDX6ARIFHHCWQA","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4MUDX6AR","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:719036b89c3987cc35d1ca1d57fd09b05e034dd446b83752217a851d1a8b4cd5","target":"graph","created_at":"2026-05-18T00:50:57Z","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"},"paper":{"abstract_excerpt":"The aim of this paper is to give a corrected bijective proof of Vershik's relations for the Kostka numbers. Our proof uses insertion and reverse insertion algorithms, as in the combinatorial proof of the Pieri rule.","authors_text":"Minwon Na","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-01-04T05:54:53Z","title":"A correction to the paper `A new approach to the representation theory of the symmetric groups, III'"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00385","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":"sha256:2c4e515e48494f41a5a7b12fe4f5fae8663c60a5cac60b3578cbf6de03dbc91e","target":"record","created_at":"2026-05-18T00:50:57Z","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":"f3555f36d6f27f87c63059909308fccd265b769c43efe10ed560e75ec44676a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-01-04T05:54:53Z","title_canon_sha256":"fa0f074ea04a4107bb142c0246f2d8f05406de8fbc4706827c56b961e8758d28"},"schema_version":"1.0","source":{"id":"1601.00385","kind":"arxiv","version":3}},"canonical_sha256":"e3283bf811414e715a00fad9b2634ead48f5631cef491d4e6c5e7498ed786468","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e3283bf811414e715a00fad9b2634ead48f5631cef491d4e6c5e7498ed786468","first_computed_at":"2026-05-18T00:50:57.521361Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:57.521361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YCbFJ39qTG6rh/xrmozP1iik9pCZBMTVtrWur9LIkA/NguQvL9M8sYKNwcU2j/F6If7/3Utc6akYt4ltPw+KCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:57.522117Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.00385","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2c4e515e48494f41a5a7b12fe4f5fae8663c60a5cac60b3578cbf6de03dbc91e","sha256:719036b89c3987cc35d1ca1d57fd09b05e034dd446b83752217a851d1a8b4cd5"],"state_sha256":"dd29ddc538a1113044d7122a4e849fd08a20275514de604323d4058058f17b87"}