{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:2E3RK72WKLDW7CBTD44J4NTHBD","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":"302a4e06fc70955661fa8582dec3b93d51422c41b4d00b32c45984c6cc7b88ed","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.FL","submitted_at":"2026-06-25T07:13:19Z","title_canon_sha256":"ed58d8ef18ed48d66380d2da6cf517accca86d270cd2956f3f38177bac1bedd6"},"schema_version":"1.0","source":{"id":"2606.26679","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.26679","created_at":"2026-06-26T01:15:56Z"},{"alias_kind":"arxiv_version","alias_value":"2606.26679v1","created_at":"2026-06-26T01:15:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.26679","created_at":"2026-06-26T01:15:56Z"},{"alias_kind":"pith_short_12","alias_value":"2E3RK72WKLDW","created_at":"2026-06-26T01:15:56Z"},{"alias_kind":"pith_short_16","alias_value":"2E3RK72WKLDW7CBT","created_at":"2026-06-26T01:15:56Z"},{"alias_kind":"pith_short_8","alias_value":"2E3RK72W","created_at":"2026-06-26T01:15:56Z"}],"graph_snapshots":[{"event_id":"sha256:d6cc86563684a61b32f4f9fd73bf04b0d9c5e05545edfdaf2615bff8467cd900","target":"graph","created_at":"2026-06-26T01:15:56Z","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/2606.26679/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Regular expressions with counting operations (c-regexes) offer a compact representation of repeating patterns by allowing numerical bounds to be added to subexpressions. Recent work introduced the counting-set data structure, which allows simultaneous updates of multiple counter values for efficient matching. However, this approach suffers from a performance bottleneck when counting-sets must be replicated due to the presence of branching transitions. We propose a sparse counting-set approach, which reduces the replication overhead by maintaining only essential counter values, thereby yielding","authors_text":"Brink van der Merwe (Stellenbosch University), Martin Berglund (Ume{\\aa} University), Sicheol Sung (Yonsei University)","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.FL","submitted_at":"2026-06-25T07:13:19Z","title":"Efficient Regex Matching with Sparse Counting-Sets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.26679","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:e7fb42b1d5d79b9f3320c189521095ee979ab03c19183ee449cd249bd26c340d","target":"record","created_at":"2026-06-26T01:15:56Z","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":"302a4e06fc70955661fa8582dec3b93d51422c41b4d00b32c45984c6cc7b88ed","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.FL","submitted_at":"2026-06-25T07:13:19Z","title_canon_sha256":"ed58d8ef18ed48d66380d2da6cf517accca86d270cd2956f3f38177bac1bedd6"},"schema_version":"1.0","source":{"id":"2606.26679","kind":"arxiv","version":1}},"canonical_sha256":"d137157f5652c76f88331f389e366708d25d5c49aabb42438aa3b71bc1167026","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d137157f5652c76f88331f389e366708d25d5c49aabb42438aa3b71bc1167026","first_computed_at":"2026-06-26T01:15:56.633218Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-26T01:15:56.633218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cBJASYjyPli+Ki7aw24qjFv3N6E0K5uoBXRs9DI+yYJFXNmjXeeB0xqZdncQjihNx3JI8tgooInV9reewiNfBg==","signature_status":"signed_v1","signed_at":"2026-06-26T01:15:56.633569Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.26679","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e7fb42b1d5d79b9f3320c189521095ee979ab03c19183ee449cd249bd26c340d","sha256:d6cc86563684a61b32f4f9fd73bf04b0d9c5e05545edfdaf2615bff8467cd900"],"state_sha256":"a110efdf54fd8f240c8352cc718c73709118272b557c9e4b2748e30224d8ea92"}