{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:6M2AENGGVRFZSL3SAF6ZDCR4V3","short_pith_number":"pith:6M2AENGG","canonical_record":{"source":{"id":"2306.05684","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.DS","submitted_at":"2023-06-09T05:53:49Z","cross_cats_sorted":[],"title_canon_sha256":"38fd10e9c90788d0bbef7059248813c88d61c63e607698dfb53e09e6a3b22d0c","abstract_canon_sha256":"45369fe5190c06348bdccd09f25b45a1019092a78e0cab61f8fda29285fcd0b1"},"schema_version":"1.0"},"canonical_sha256":"f3340234c6ac4b992f72017d918a3caefbb6d666fa8185cbf54189208217eacd","source":{"kind":"arxiv","id":"2306.05684","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.05684","created_at":"2026-07-05T08:56:13Z"},{"alias_kind":"arxiv_version","alias_value":"2306.05684v2","created_at":"2026-07-05T08:56:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.05684","created_at":"2026-07-05T08:56:13Z"},{"alias_kind":"pith_short_12","alias_value":"6M2AENGGVRFZ","created_at":"2026-07-05T08:56:13Z"},{"alias_kind":"pith_short_16","alias_value":"6M2AENGGVRFZSL3S","created_at":"2026-07-05T08:56:13Z"},{"alias_kind":"pith_short_8","alias_value":"6M2AENGG","created_at":"2026-07-05T08:56:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:6M2AENGGVRFZSL3SAF6ZDCR4V3","target":"record","payload":{"canonical_record":{"source":{"id":"2306.05684","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.DS","submitted_at":"2023-06-09T05:53:49Z","cross_cats_sorted":[],"title_canon_sha256":"38fd10e9c90788d0bbef7059248813c88d61c63e607698dfb53e09e6a3b22d0c","abstract_canon_sha256":"45369fe5190c06348bdccd09f25b45a1019092a78e0cab61f8fda29285fcd0b1"},"schema_version":"1.0"},"canonical_sha256":"f3340234c6ac4b992f72017d918a3caefbb6d666fa8185cbf54189208217eacd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:56:13.000546Z","signature_b64":"j8gVqwp571BhPLfWQfVf0eOQ1NKRvTWgEfn88kfqiAh2Tgzar4EGX1+hbmt1xmqCIiAdQHmSN86D4HnhdU/eDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f3340234c6ac4b992f72017d918a3caefbb6d666fa8185cbf54189208217eacd","last_reissued_at":"2026-07-05T08:56:13.000124Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:56:13.000124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2306.05684","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:56:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a/tHblged+6TsP2j9qdWa620Vuu/t7yEPFI65d/kUvfw6FZ0X4B0EtyszguK88D26nfysmBV0mtVndG9TdduDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T13:52:31.022377Z"},"content_sha256":"266404f59e2efaec2fa85a045e9b78277cf3ea6ae784a92af6a9d77dab68f041","schema_version":"1.0","event_id":"sha256:266404f59e2efaec2fa85a045e9b78277cf3ea6ae784a92af6a9d77dab68f041"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:6M2AENGGVRFZSL3SAF6ZDCR4V3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Space-time Trade-offs for the LCP Array of Wheeler DFAs","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.DS","authors_text":"Dominik K\\\"oppl, Nicola Cotumaccio, Nicola Prezza, Travis Gagie","submitted_at":"2023-06-09T05:53:49Z","abstract_excerpt":"Recently, Conte et al. generalized the longest-common prefix (LCP) array from strings to Wheeler DFAs, and they showed that it can be used to efficiently determine matching statistics on a Wheeler DFA [DCC 2023]. However, storing the LCP array requires $ O(n \\log n) $ bits, $ n $ being the number of states, while the compact representation of Wheeler DFAs often requires much less space. In particular, the BOSS representation of a de Bruijn graph only requires a linear number of bits, if the size of alphabet is constant.\n  In this paper, we propose a sampling technique that allows to access an "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.05684","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2306.05684/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:56:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rZr+R3xxo23UnQLgPpsJ4rKXWOMeRoNJ8UI0+QMFDb4V91CksnSjXSSqEe0xR4drJy4h/27RJL5JNRjkh8uVDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T13:52:31.022750Z"},"content_sha256":"1b1ad1cadf93de26d30bbe9b504c69dad9aacca3e726a660b485b84e5e2411f7","schema_version":"1.0","event_id":"sha256:1b1ad1cadf93de26d30bbe9b504c69dad9aacca3e726a660b485b84e5e2411f7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6M2AENGGVRFZSL3SAF6ZDCR4V3/bundle.json","state_url":"https://pith.science/pith/6M2AENGGVRFZSL3SAF6ZDCR4V3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6M2AENGGVRFZSL3SAF6ZDCR4V3/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-06T13:52:31Z","links":{"resolver":"https://pith.science/pith/6M2AENGGVRFZSL3SAF6ZDCR4V3","bundle":"https://pith.science/pith/6M2AENGGVRFZSL3SAF6ZDCR4V3/bundle.json","state":"https://pith.science/pith/6M2AENGGVRFZSL3SAF6ZDCR4V3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6M2AENGGVRFZSL3SAF6ZDCR4V3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:6M2AENGGVRFZSL3SAF6ZDCR4V3","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":"45369fe5190c06348bdccd09f25b45a1019092a78e0cab61f8fda29285fcd0b1","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.DS","submitted_at":"2023-06-09T05:53:49Z","title_canon_sha256":"38fd10e9c90788d0bbef7059248813c88d61c63e607698dfb53e09e6a3b22d0c"},"schema_version":"1.0","source":{"id":"2306.05684","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.05684","created_at":"2026-07-05T08:56:13Z"},{"alias_kind":"arxiv_version","alias_value":"2306.05684v2","created_at":"2026-07-05T08:56:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.05684","created_at":"2026-07-05T08:56:13Z"},{"alias_kind":"pith_short_12","alias_value":"6M2AENGGVRFZ","created_at":"2026-07-05T08:56:13Z"},{"alias_kind":"pith_short_16","alias_value":"6M2AENGGVRFZSL3S","created_at":"2026-07-05T08:56:13Z"},{"alias_kind":"pith_short_8","alias_value":"6M2AENGG","created_at":"2026-07-05T08:56:13Z"}],"graph_snapshots":[{"event_id":"sha256:1b1ad1cadf93de26d30bbe9b504c69dad9aacca3e726a660b485b84e5e2411f7","target":"graph","created_at":"2026-07-05T08:56:13Z","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/2306.05684/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recently, Conte et al. generalized the longest-common prefix (LCP) array from strings to Wheeler DFAs, and they showed that it can be used to efficiently determine matching statistics on a Wheeler DFA [DCC 2023]. However, storing the LCP array requires $ O(n \\log n) $ bits, $ n $ being the number of states, while the compact representation of Wheeler DFAs often requires much less space. In particular, the BOSS representation of a de Bruijn graph only requires a linear number of bits, if the size of alphabet is constant.\n  In this paper, we propose a sampling technique that allows to access an ","authors_text":"Dominik K\\\"oppl, Nicola Cotumaccio, Nicola Prezza, Travis Gagie","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.DS","submitted_at":"2023-06-09T05:53:49Z","title":"Space-time Trade-offs for the LCP Array of Wheeler DFAs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.05684","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":"sha256:266404f59e2efaec2fa85a045e9b78277cf3ea6ae784a92af6a9d77dab68f041","target":"record","created_at":"2026-07-05T08:56:13Z","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":"45369fe5190c06348bdccd09f25b45a1019092a78e0cab61f8fda29285fcd0b1","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.DS","submitted_at":"2023-06-09T05:53:49Z","title_canon_sha256":"38fd10e9c90788d0bbef7059248813c88d61c63e607698dfb53e09e6a3b22d0c"},"schema_version":"1.0","source":{"id":"2306.05684","kind":"arxiv","version":2}},"canonical_sha256":"f3340234c6ac4b992f72017d918a3caefbb6d666fa8185cbf54189208217eacd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3340234c6ac4b992f72017d918a3caefbb6d666fa8185cbf54189208217eacd","first_computed_at":"2026-07-05T08:56:13.000124Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:56:13.000124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j8gVqwp571BhPLfWQfVf0eOQ1NKRvTWgEfn88kfqiAh2Tgzar4EGX1+hbmt1xmqCIiAdQHmSN86D4HnhdU/eDA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:56:13.000546Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.05684","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:266404f59e2efaec2fa85a045e9b78277cf3ea6ae784a92af6a9d77dab68f041","sha256:1b1ad1cadf93de26d30bbe9b504c69dad9aacca3e726a660b485b84e5e2411f7"],"state_sha256":"30bc1d59aa559c4bdb190dc948560af975f7bc65b44dfd737dcc6028196108b2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GzZdwvZdUbAkxqAZL11QHbwDazj+zYfORGlsAA0m+e96BJQ7NvOskHvOEV17p6C1wD0nk6JG/NJ8N1fuS3PAAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T13:52:31.024773Z","bundle_sha256":"524f4af4f17cb7951a88b98b893bd0f47d6e4237cdf1e0831602c04d496f7d8f"}}