{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NNKCKWBSPNTKYXV33MGI4KJN3U","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":"5e1fa310fc073ae6042e6516a031aa7ea886439f36f920bf209a776ccb3543c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-01-24T16:14:01Z","title_canon_sha256":"7bc0cb13974fde91d55b1c5fc71763d9eea95a701f85b04d29b82bdc23f5f222"},"schema_version":"1.0","source":{"id":"1801.08056","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.08056","created_at":"2026-05-18T00:25:07Z"},{"alias_kind":"arxiv_version","alias_value":"1801.08056v2","created_at":"2026-05-18T00:25:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.08056","created_at":"2026-05-18T00:25:07Z"},{"alias_kind":"pith_short_12","alias_value":"NNKCKWBSPNTK","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NNKCKWBSPNTKYXV3","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NNKCKWBS","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:152708728c32e20514b530dcbe2edd45f82d9b4cd78df30909ca7ab37ce9b1e7","target":"graph","created_at":"2026-05-18T00:25:07Z","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":"In this paper, several variants of the ascent-plateau statistic are introduced, including flag ascent-plateau, double ascent and descent-plateau. We first study the flag ascent-plateau statistic on Stirling permutations by using context-free grammars. We then present a unified refinement of the ascent polynomials and the ascent-plateau polynomials. In particular, by using Foata and Strehl's group action, we prove two bistatistics over the set of Stirling permutations of order n are equidistributed.","authors_text":"Jun Ma, Shi-Mei Ma, Yeong-Nan Yeh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-01-24T16:14:01Z","title":"The ascent-plateau statistics on Stirling permutations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.08056","kind":"arxiv","version":2},"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":"sha256:5c681668ba1804afb332cfa0a8b4c32f179352ccbae4487b947884e16eac01b5","target":"record","created_at":"2026-05-18T00:25:07Z","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":"5e1fa310fc073ae6042e6516a031aa7ea886439f36f920bf209a776ccb3543c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-01-24T16:14:01Z","title_canon_sha256":"7bc0cb13974fde91d55b1c5fc71763d9eea95a701f85b04d29b82bdc23f5f222"},"schema_version":"1.0","source":{"id":"1801.08056","kind":"arxiv","version":2}},"canonical_sha256":"6b542558327b66ac5ebbdb0c8e292ddd023d4dcc3a2500e5d9900dab3c4440ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b542558327b66ac5ebbdb0c8e292ddd023d4dcc3a2500e5d9900dab3c4440ec","first_computed_at":"2026-05-18T00:25:07.022356Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:07.022356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Uil9+fsa90E0aQI0/AldcHkGZYksQbOfknGg88Na0M85DkSjKZ/Xd1RTePYVrr8zKaealSfRT2Z45ZvNO4T+Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:07.023014Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.08056","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c681668ba1804afb332cfa0a8b4c32f179352ccbae4487b947884e16eac01b5","sha256:152708728c32e20514b530dcbe2edd45f82d9b4cd78df30909ca7ab37ce9b1e7"],"state_sha256":"982cf1657696603e099279a9ea7371c12c1943c3369e381c65177daaff9189c3"}