{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4MK5FEPC4JE5JSRRUMWA4AXLNT","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":"0169289072cabdc1db3fb6b7bdd765fb935fdda242ad14a4ce207b471aa6100d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2018-02-20T23:33:23Z","title_canon_sha256":"36c1841b541894f63005648effc44b6f156b6d1c17d939e278a1a8e53082c841"},"schema_version":"1.0","source":{"id":"1802.07375","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.07375","created_at":"2026-05-18T00:22:02Z"},{"alias_kind":"arxiv_version","alias_value":"1802.07375v3","created_at":"2026-05-18T00:22:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.07375","created_at":"2026-05-18T00:22:02Z"},{"alias_kind":"pith_short_12","alias_value":"4MK5FEPC4JE5","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4MK5FEPC4JE5JSRR","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4MK5FEPC","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:6844fef23dcf89742f5cd73589c6e9f6cbd5fd0680ffde112ed4c7acdae46f23","target":"graph","created_at":"2026-05-18T00:22:02Z","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 investigate the problem of detecting periodic trends within a string $S$ of length $n$, arriving in the streaming model, containing at most $k$ wildcard characters, where $k=o(n)$. A wildcard character is a special character that can be assigned any other character. We say $S$ has wildcard-period $p$ if there exists an assignment to each of the wildcard characters so that in the resulting stream the length $n-p$ prefix equals the length $n-p$ suffix. We present a two-pass streaming algorithm that computes wildcard-periods of $S$ using $\\mathcal{O}(k^3\\,\\mathsf{polylog}\\,n)$ bits of space, w","authors_text":"Elena Grigorescu, Erfan Sadeqi Azer, Funda Erg\\\"un, Samson Zhou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2018-02-20T23:33:23Z","title":"Periodicity in Data Streams with Wildcards"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.07375","kind":"arxiv","version":3},"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:ace4c51482c9458426c3fb6791c10111df3363f9b9c8592719fc03a9949c2cda","target":"record","created_at":"2026-05-18T00:22:02Z","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":"0169289072cabdc1db3fb6b7bdd765fb935fdda242ad14a4ce207b471aa6100d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2018-02-20T23:33:23Z","title_canon_sha256":"36c1841b541894f63005648effc44b6f156b6d1c17d939e278a1a8e53082c841"},"schema_version":"1.0","source":{"id":"1802.07375","kind":"arxiv","version":3}},"canonical_sha256":"e315d291e2e249d4ca31a32c0e02eb6cf225c80a3e8b6358e96a2512800fa124","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e315d291e2e249d4ca31a32c0e02eb6cf225c80a3e8b6358e96a2512800fa124","first_computed_at":"2026-05-18T00:22:02.191063Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:02.191063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9bdZ+ICf1hHWAa88Ix6oA6KYC17cRA7l1EhAOdjEe4oyhmuGsRsUAHCH4OPnaVVrehy5rhI62o7eopSOzIKGAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:02.191710Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.07375","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ace4c51482c9458426c3fb6791c10111df3363f9b9c8592719fc03a9949c2cda","sha256:6844fef23dcf89742f5cd73589c6e9f6cbd5fd0680ffde112ed4c7acdae46f23"],"state_sha256":"93cf336346fe61920456a38e40d6985c6c21b0d65d3e334a25fd4851883486bb"}