{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:GSKKCPNZG3OGEQ5WHAPBY67ZGO","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":"6fe911d8d5bb9bfed41c45a391bfdc23a3afcb97d8dbddaf517de0be0ffde6e8","cross_cats_sorted":["math.IT","q-bio.GN"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.IT","submitted_at":"2024-05-09T12:50:18Z","title_canon_sha256":"66278130130ed255ef0c896c07b54a1371f1c400d3066ad71fee6a4bec0876c5"},"schema_version":"1.0","source":{"id":"2405.05734","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.05734","created_at":"2026-07-05T10:45:07Z"},{"alias_kind":"arxiv_version","alias_value":"2405.05734v3","created_at":"2026-07-05T10:45:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.05734","created_at":"2026-07-05T10:45:07Z"},{"alias_kind":"pith_short_12","alias_value":"GSKKCPNZG3OG","created_at":"2026-07-05T10:45:07Z"},{"alias_kind":"pith_short_16","alias_value":"GSKKCPNZG3OGEQ5W","created_at":"2026-07-05T10:45:07Z"},{"alias_kind":"pith_short_8","alias_value":"GSKKCPNZ","created_at":"2026-07-05T10:45:07Z"}],"graph_snapshots":[{"event_id":"sha256:43dff7a769535006d635cecfcbcafc2ceed36bceffd5f7c873bb371a4b91ccfc","target":"graph","created_at":"2026-07-05T10:45:07Z","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/2405.05734/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The repeat content and heterozygosity rate of a target genome are important factors in determining the feasibility of achieving a complete telomere-to-telomere assembly. The mathematical relationship between the required coverage and read length for the purpose of unique reconstruction remains unexplored for diploid genomes. We investigate the information-theoretic conditions that the given set of sequencing reads must satisfy to achieve the complete reconstruction of the true sequence of a diploid genome. We also analyze the standard greedy and de-Bruijn graph-based assembly algorithms. Our r","authors_text":"Chirag Jain, Daanish Mahajan, Navin Kashyap","cross_cats":["math.IT","q-bio.GN"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.IT","submitted_at":"2024-05-09T12:50:18Z","title":"On the Coverage Required for Diploid Genome Assembly"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.05734","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:bf3d8ea27eae8009aa167855620e8b74a1a756acc0c6a98ccebeaaeffe4ff247","target":"record","created_at":"2026-07-05T10:45:07Z","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":"6fe911d8d5bb9bfed41c45a391bfdc23a3afcb97d8dbddaf517de0be0ffde6e8","cross_cats_sorted":["math.IT","q-bio.GN"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.IT","submitted_at":"2024-05-09T12:50:18Z","title_canon_sha256":"66278130130ed255ef0c896c07b54a1371f1c400d3066ad71fee6a4bec0876c5"},"schema_version":"1.0","source":{"id":"2405.05734","kind":"arxiv","version":3}},"canonical_sha256":"3494a13db936dc6243b6381e1c7bf933b1e9a42836abb0108d73a1b7534839e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3494a13db936dc6243b6381e1c7bf933b1e9a42836abb0108d73a1b7534839e3","first_computed_at":"2026-07-05T10:45:07.912957Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:45:07.912957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hZo5CzYB1qdE4+DwU6uvXDwrqXMIUuCrv19nH9Rd82OHc8RCPtw/gMkIgzBUQ0zNXHZnwhvr3Ou/9F+Mdg6FBA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:45:07.913466Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.05734","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf3d8ea27eae8009aa167855620e8b74a1a756acc0c6a98ccebeaaeffe4ff247","sha256:43dff7a769535006d635cecfcbcafc2ceed36bceffd5f7c873bb371a4b91ccfc"],"state_sha256":"67a186047b9fd6b693861b781547590015cb7c0990ae0ef0c01862e90ba9866a"}