{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:MGWKXD4MMKLSPXHXOLXSWGGSBL","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":"9ddcbcc661b88cc8539270394a7ef12564c0b2c2d8b617246450e9021e911f58","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2010-07-15T17:09:54Z","title_canon_sha256":"24dfc610291f15ed39ae4567965f9a2e5f84ebeeb018d22ed9f527a9eeb3f666"},"schema_version":"1.0","source":{"id":"1007.2618","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.2618","created_at":"2026-05-18T04:00:16Z"},{"alias_kind":"arxiv_version","alias_value":"1007.2618v2","created_at":"2026-05-18T04:00:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.2618","created_at":"2026-05-18T04:00:16Z"},{"alias_kind":"pith_short_12","alias_value":"MGWKXD4MMKLS","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"MGWKXD4MMKLSPXHX","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"MGWKXD4M","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:6d3a8fdcf9b7df490094fe3dfe4658ac413e6fda7f6735c91000eab7ab769434","target":"graph","created_at":"2026-05-18T04:00:16Z","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":"A natural probabilistic model for motif discovery has been used to experimentally test the quality of motif discovery programs. In this model, there are $k$ background sequences, and each character in a background sequence is a random character from an alphabet $\\Sigma$. A motif $G=g_1g_2...g_m$ is a string of $m$ characters. Each background sequence is implanted a probabilistically generated approximate copy of $G$. For a probabilistically generated approximate copy $b_1b_2...b_m$ of $G$, every character $b_i$ is probabilistically generated such that the probability for $b_i\\neq g_i$ is at mo","authors_text":"Bin Fu, Yunhui Fu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2010-07-15T17:09:54Z","title":"Sublinear Time Motif Discovery from Multiple Sequences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.2618","kind":"arxiv","version":2},"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":"sha256:8300834994a32f3eb1f9304dd4cf2520e21ee316cb18c39eacd078221244d9dc","target":"record","created_at":"2026-05-18T04:00:16Z","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":"9ddcbcc661b88cc8539270394a7ef12564c0b2c2d8b617246450e9021e911f58","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2010-07-15T17:09:54Z","title_canon_sha256":"24dfc610291f15ed39ae4567965f9a2e5f84ebeeb018d22ed9f527a9eeb3f666"},"schema_version":"1.0","source":{"id":"1007.2618","kind":"arxiv","version":2}},"canonical_sha256":"61acab8f8c629727dcf772ef2b18d20ac3f6f6a72636414ea0b1795335b89b58","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"61acab8f8c629727dcf772ef2b18d20ac3f6f6a72636414ea0b1795335b89b58","first_computed_at":"2026-05-18T04:00:16.157741Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:00:16.157741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Spx71HSWh0D5zy+zRdoXKenUqY49qW3ND3S4dP2kMbTY2D8Agy316a9TV2vJVyypTsrZH5QcmgVTGTM16aXBCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:00:16.158489Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.2618","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8300834994a32f3eb1f9304dd4cf2520e21ee316cb18c39eacd078221244d9dc","sha256:6d3a8fdcf9b7df490094fe3dfe4658ac413e6fda7f6735c91000eab7ab769434"],"state_sha256":"8dca53cfbb09539f68646e2e00d5f413de2d44552d3c4c5ce55fe3e7597d05e4"}