{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:T66B34BELIR6YJMMJDTGTAUMTI","short_pith_number":"pith:T66B34BE","schema_version":"1.0","canonical_sha256":"9fbc1df0245a23ec258c48e669828c9a140709c0bf5f3ac17f8865d8dfda93f9","source":{"kind":"arxiv","id":"1708.05092","version":1},"attestation_state":"computed","paper":{"title":"Double deficiencies of Dyck paths via the Billey-Jockusch-Stanley bijection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Christian Stump, Martin Rubey","submitted_at":"2017-08-16T21:56:42Z","abstract_excerpt":"We prove a recent conjecture by Ren\\'e Marczinzik involving certain statistics on Dyck paths that originate in the representation theory of Nakayama algebras of a linearly oriented quiver. We do so by analysing the effect of the Billey-Jockusch-Stanley bijection between Dyck paths and 321-avoiding permutations on these statistics, which was suggested by the result of a query issued to the online database FindStat."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1708.05092","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-08-16T21:56:42Z","cross_cats_sorted":[],"title_canon_sha256":"2cb7a45cf03da732831ab198f0e61712624c08c0d42f11d47d5a96b78dbacff6","abstract_canon_sha256":"ab0acb4d232c358bb91652869c99dd67a6ae0738dba44af5519e50f9caa7c78c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:53.871060Z","signature_b64":"HErRBvbFePpW+YdRAyeOvriKMh0ZDLa/LwXyWM1n+mPPt69ZfseULSfqTp/vsIVyNlSy1I+ki0ja6eESHnZ6Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9fbc1df0245a23ec258c48e669828c9a140709c0bf5f3ac17f8865d8dfda93f9","last_reissued_at":"2026-05-18T00:37:53.870585Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:53.870585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Double deficiencies of Dyck paths via the Billey-Jockusch-Stanley bijection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Christian Stump, Martin Rubey","submitted_at":"2017-08-16T21:56:42Z","abstract_excerpt":"We prove a recent conjecture by Ren\\'e Marczinzik involving certain statistics on Dyck paths that originate in the representation theory of Nakayama algebras of a linearly oriented quiver. We do so by analysing the effect of the Billey-Jockusch-Stanley bijection between Dyck paths and 321-avoiding permutations on these statistics, which was suggested by the result of a query issued to the online database FindStat."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.05092","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1708.05092","created_at":"2026-05-18T00:37:53.870652+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.05092v1","created_at":"2026-05-18T00:37:53.870652+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.05092","created_at":"2026-05-18T00:37:53.870652+00:00"},{"alias_kind":"pith_short_12","alias_value":"T66B34BELIR6","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_16","alias_value":"T66B34BELIR6YJMM","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_8","alias_value":"T66B34BE","created_at":"2026-05-18T12:31:43.269735+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/T66B34BELIR6YJMMJDTGTAUMTI","json":"https://pith.science/pith/T66B34BELIR6YJMMJDTGTAUMTI.json","graph_json":"https://pith.science/api/pith-number/T66B34BELIR6YJMMJDTGTAUMTI/graph.json","events_json":"https://pith.science/api/pith-number/T66B34BELIR6YJMMJDTGTAUMTI/events.json","paper":"https://pith.science/paper/T66B34BE"},"agent_actions":{"view_html":"https://pith.science/pith/T66B34BELIR6YJMMJDTGTAUMTI","download_json":"https://pith.science/pith/T66B34BELIR6YJMMJDTGTAUMTI.json","view_paper":"https://pith.science/paper/T66B34BE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.05092&json=true","fetch_graph":"https://pith.science/api/pith-number/T66B34BELIR6YJMMJDTGTAUMTI/graph.json","fetch_events":"https://pith.science/api/pith-number/T66B34BELIR6YJMMJDTGTAUMTI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/T66B34BELIR6YJMMJDTGTAUMTI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/T66B34BELIR6YJMMJDTGTAUMTI/action/storage_attestation","attest_author":"https://pith.science/pith/T66B34BELIR6YJMMJDTGTAUMTI/action/author_attestation","sign_citation":"https://pith.science/pith/T66B34BELIR6YJMMJDTGTAUMTI/action/citation_signature","submit_replication":"https://pith.science/pith/T66B34BELIR6YJMMJDTGTAUMTI/action/replication_record"}},"created_at":"2026-05-18T00:37:53.870652+00:00","updated_at":"2026-05-18T00:37:53.870652+00:00"}