{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:RR5OZVPZCLUY32NIL3AJOSWPTO","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":"2d57eafeb168887155b32f0fa2eea7febff1715817561dd91febcabb985b493b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-01-20T15:16:56Z","title_canon_sha256":"0ec771e15150c0899a757b897931ab46b20f7a3924a96d6faf2dd6cd74c01aaf"},"schema_version":"1.0","source":{"id":"1201.4317","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.4317","created_at":"2026-05-18T04:04:07Z"},{"alias_kind":"arxiv_version","alias_value":"1201.4317v1","created_at":"2026-05-18T04:04:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.4317","created_at":"2026-05-18T04:04:07Z"},{"alias_kind":"pith_short_12","alias_value":"RR5OZVPZCLUY","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RR5OZVPZCLUY32NI","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RR5OZVPZ","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:ab0eb223273258b1409ab4ae1cfbc0492ade96109da5cf4f5dea647a43b2d020","target":"graph","created_at":"2026-05-18T04:04:07Z","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":"We give a sufficient condition for the two dashed patterns $\\tau^{(1)}-\\tau^{(2)}-\\cdots-\\tau^{(\\ell)}$ and $\\tau^{(\\ell)}-\\tau^{(\\ell-1)}-\\cdots-\\tau^{(1)}$ to be (strongly) Wilf-equivalent. This permits to solve in a unified way several problems of Heubach and Mansour on Wilf-equivalences on words and compositions, as well as a conjecture of Baxter and Pudwell on Wilf-equivalences on permutations. We also give a better explanation of the equidistribution of the parameters $\\MAK+\\bMAJ$ and $\\MAK'+\\bMAJ$ on ordered set partitions. These results can be viewed as consequences of a simple proposi","authors_text":"Anisse Kasraoui","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-01-20T15:16:56Z","title":"New Wilf-equivalence results for dashed patterns"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.4317","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:a689455d3fb59ae7011932032cc64312e2c27dfa73b6712b9bde1dc9b1fd8e78","target":"record","created_at":"2026-05-18T04:04:07Z","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":"2d57eafeb168887155b32f0fa2eea7febff1715817561dd91febcabb985b493b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-01-20T15:16:56Z","title_canon_sha256":"0ec771e15150c0899a757b897931ab46b20f7a3924a96d6faf2dd6cd74c01aaf"},"schema_version":"1.0","source":{"id":"1201.4317","kind":"arxiv","version":1}},"canonical_sha256":"8c7aecd5f912e98de9a85ec0974acf9b8d12a217eed1106d63d387399ec05d6a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c7aecd5f912e98de9a85ec0974acf9b8d12a217eed1106d63d387399ec05d6a","first_computed_at":"2026-05-18T04:04:07.439954Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:04:07.439954Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DCwbidiHjZ5yP7F3mXGWFX00KSYkyCcmuuNSvuN+TAv83JZ2qJjN1Utu5yYfusE0MXj+kO84FOQ6u7rY1vR4Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:04:07.440595Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.4317","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a689455d3fb59ae7011932032cc64312e2c27dfa73b6712b9bde1dc9b1fd8e78","sha256:ab0eb223273258b1409ab4ae1cfbc0492ade96109da5cf4f5dea647a43b2d020"],"state_sha256":"e5af5c155b18a19425ceb90e014f9b4e422f3655bc8bc25f4940be3874b9ea35"}