{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZYF2EPXMH7Z3XFQZGEHCM5PRIH","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":"5fb5a277b384c75b2d54dfe25b80276a1a2182d454e45f6c772d088311527731","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2018-08-02T05:53:17Z","title_canon_sha256":"216523d6e3250bc643805b8e7fd065471efb25cd48f19296a91307746855da98"},"schema_version":"1.0","source":{"id":"1808.00674","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.00674","created_at":"2026-05-18T00:09:04Z"},{"alias_kind":"arxiv_version","alias_value":"1808.00674v1","created_at":"2026-05-18T00:09:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.00674","created_at":"2026-05-18T00:09:04Z"},{"alias_kind":"pith_short_12","alias_value":"ZYF2EPXMH7Z3","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZYF2EPXMH7Z3XFQZ","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZYF2EPXM","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:eb84e4a80288c445c3db6afc0731b7eba21b053a706608b4b10c34fd4a067d1e","target":"graph","created_at":"2026-05-18T00:09:04Z","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":"The problem called \"String reconstruction from substrings\" is a mathematical model of sequencing by hybridization that plays an important role in DNA sequencing. In this problem, we are given a blackbox oracle holding an unknown string ${\\mathcal X}$ and are required to obtain (reconstruct) ${\\mathcal X}$ through \"substring queries\" $Q(S)$. $Q(S)$ is given to the oracle with a string $S$ and the answer of the oracle is Yes if ${\\mathcal X}$ includes $S$ as a substring and No otherwise. Our goal is to minimize the number of queries for the reconstruction. In this paper, we deal with only binary","authors_text":"Junichi Teruyama, Kazuo Iwama, Shuntaro Tsuyama","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2018-08-02T05:53:17Z","title":"Reconstructing Strings from Substrings: Optimal Randomized and Average-Case Algorithms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.00674","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":"sha256:22ab54bf9256ef8a3d832966e5b88e10b4bebb55943f235ec58c795a0481f56f","target":"record","created_at":"2026-05-18T00:09:04Z","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":"5fb5a277b384c75b2d54dfe25b80276a1a2182d454e45f6c772d088311527731","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2018-08-02T05:53:17Z","title_canon_sha256":"216523d6e3250bc643805b8e7fd065471efb25cd48f19296a91307746855da98"},"schema_version":"1.0","source":{"id":"1808.00674","kind":"arxiv","version":1}},"canonical_sha256":"ce0ba23eec3ff3bb9619310e2675f141c5eb2ffc79b1aed48189bb7722e75806","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce0ba23eec3ff3bb9619310e2675f141c5eb2ffc79b1aed48189bb7722e75806","first_computed_at":"2026-05-18T00:09:04.522686Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:04.522686Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ubMw+i1+Iw6krVRqWvS76I6/eUfOxylncMIU17gWvFzAtGWql1Jbxy3dEatY5DLwyVjCet5zVy4Y4drCaJSpBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:04.523368Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.00674","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22ab54bf9256ef8a3d832966e5b88e10b4bebb55943f235ec58c795a0481f56f","sha256:eb84e4a80288c445c3db6afc0731b7eba21b053a706608b4b10c34fd4a067d1e"],"state_sha256":"ca2758c3a12a613e912236f99e565bc92fce19142e79ef0ef816a15a04398e0d"}