{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:MAA5R5U7A5EGMG6XLXMGORBTXU","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":"3221512d976a0f4d01162521ee74e7cf468149e38267dd881b3d78cf8baaef2f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2026-05-22T18:00:07Z","title_canon_sha256":"6514f51745ad55cdcbb0495dcf1a6367788093c2ded3469f033f8308504bafc5"},"schema_version":"1.0","source":{"id":"2605.24092","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.24092","created_at":"2026-05-26T01:02:45Z"},{"alias_kind":"arxiv_version","alias_value":"2605.24092v1","created_at":"2026-05-26T01:02:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.24092","created_at":"2026-05-26T01:02:45Z"},{"alias_kind":"pith_short_12","alias_value":"MAA5R5U7A5EG","created_at":"2026-05-26T01:02:45Z"},{"alias_kind":"pith_short_16","alias_value":"MAA5R5U7A5EGMG6X","created_at":"2026-05-26T01:02:45Z"},{"alias_kind":"pith_short_8","alias_value":"MAA5R5U7","created_at":"2026-05-26T01:02:45Z"}],"graph_snapshots":[{"event_id":"sha256:f99069c7138baaeaed463aa51573f2dc755671091dc706cea25250f479b1f597","target":"graph","created_at":"2026-05-26T01:02:45Z","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/2605.24092/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we complete the enumeration of the number of parking functions of length $n$ avoiding, in the sense defined by Qiu and Remmel, a permutation of length 3, answering several questions of Adeniran and Pudwell. Additionally, we provide explicit growth rates for the number of parking functions of length $n$ avoiding a monotonic pattern of any length. As a consequence of our techniques we additionally provide a combinatorial enumeration for the number of equivalence classes of words with a fixed content under the Sylvester congruence.","authors_text":"Ben Adenbaum","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2026-05-22T18:00:07Z","title":"Enumerating Pattern Avoiding Parking Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.24092","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:d28c75360c3bfea82de8678bc6d855ce20f46e854b837de1e60f5a0bbe1c6e54","target":"record","created_at":"2026-05-26T01:02:45Z","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":"3221512d976a0f4d01162521ee74e7cf468149e38267dd881b3d78cf8baaef2f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2026-05-22T18:00:07Z","title_canon_sha256":"6514f51745ad55cdcbb0495dcf1a6367788093c2ded3469f033f8308504bafc5"},"schema_version":"1.0","source":{"id":"2605.24092","kind":"arxiv","version":1}},"canonical_sha256":"6001d8f69f0748661bd75dd8674433bd0f7418efea87c00f59120352dce73345","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6001d8f69f0748661bd75dd8674433bd0f7418efea87c00f59120352dce73345","first_computed_at":"2026-05-26T01:02:45.350117Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T01:02:45.350117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R7I/aLv1v2VEdAXBWdqCNrJEAPlFTwqrtgKIXFCk2m/z+jxGa5GJKfpq8yQKzmmbllSlzwv63irXKW4ob6++AA==","signature_status":"signed_v1","signed_at":"2026-05-26T01:02:45.350918Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.24092","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d28c75360c3bfea82de8678bc6d855ce20f46e854b837de1e60f5a0bbe1c6e54","sha256:f99069c7138baaeaed463aa51573f2dc755671091dc706cea25250f479b1f597"],"state_sha256":"a0fee98a17e5a1a77eea04c83d63eed56a250166e5cd0f0dd819ab78d2d3a47c"}