{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:K6G3MUANT4JDORCIYTDGAIBEQB","short_pith_number":"pith:K6G3MUAN","canonical_record":{"source":{"id":"2411.11298","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2024-11-18T05:48:55Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"2de1638d03a89b8a4b642a082892d20209c9eba93a089142ade9fcfaee6950a5","abstract_canon_sha256":"09518cd425db8dff61b4554ae25e86d0af0a0481175bb94b1a748f618f6f7426"},"schema_version":"1.0"},"canonical_sha256":"578db6500d9f12374448c4c6602024805e21c1613c016f61085ecd0f6b869a5e","source":{"kind":"arxiv","id":"2411.11298","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.11298","created_at":"2026-07-05T09:36:54Z"},{"alias_kind":"arxiv_version","alias_value":"2411.11298v1","created_at":"2026-07-05T09:36:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.11298","created_at":"2026-07-05T09:36:54Z"},{"alias_kind":"pith_short_12","alias_value":"K6G3MUANT4JD","created_at":"2026-07-05T09:36:54Z"},{"alias_kind":"pith_short_16","alias_value":"K6G3MUANT4JDORCI","created_at":"2026-07-05T09:36:54Z"},{"alias_kind":"pith_short_8","alias_value":"K6G3MUAN","created_at":"2026-07-05T09:36:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:K6G3MUANT4JDORCIYTDGAIBEQB","target":"record","payload":{"canonical_record":{"source":{"id":"2411.11298","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2024-11-18T05:48:55Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"2de1638d03a89b8a4b642a082892d20209c9eba93a089142ade9fcfaee6950a5","abstract_canon_sha256":"09518cd425db8dff61b4554ae25e86d0af0a0481175bb94b1a748f618f6f7426"},"schema_version":"1.0"},"canonical_sha256":"578db6500d9f12374448c4c6602024805e21c1613c016f61085ecd0f6b869a5e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:36:54.170375Z","signature_b64":"J33WKcZj8ceXirI7WhwPhe/leA+q4QvuguwrJqalNwL5k91aqA0zuqjP03yBI56eIyanjsA2ESVQHoMzpNCjAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"578db6500d9f12374448c4c6602024805e21c1613c016f61085ecd0f6b869a5e","last_reissued_at":"2026-07-05T09:36:54.169938Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:36:54.169938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.11298","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:36:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"waupdYAP04F+qsZ2spie1oHOwRIpirqJ0tgaZSE85M3mVtdV/qdrMakk5EpEiuCXTKm8Ub9xG7UneUJ2UBdtDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T01:01:29.012546Z"},"content_sha256":"7d3334bd3273b45652717994858fba728c25a7134aae9fe901d4ae83f5303307","schema_version":"1.0","event_id":"sha256:7d3334bd3273b45652717994858fba728c25a7134aae9fe901d4ae83f5303307"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:K6G3MUANT4JDORCIYTDGAIBEQB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the compressiveness of the Burrows-Wheeler transform","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"cs.DM","authors_text":"Hideo Bannai, Tomohiro I, Yuto Nakashima","submitted_at":"2024-11-18T05:48:55Z","abstract_excerpt":"The Burrows-Wheeler transform (BWT) is a reversible transform that converts a string $w$ into another string $\\mathsf{BWT}(w)$. The size of the run-length encoded BWT (RLBWT) can be interpreted as a measure of repetitiveness in the class of representations called dictionary compression which are essentially representations based on copy and paste operations. In this paper, we shed new light on the compressiveness of BWT and the bijective BWT (BBWT). We first extend previous results on the relations of their run-length compressed sizes $r$ and $r_B$. We also show that the so-called ``clustering"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.11298","kind":"arxiv","version":1},"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/2411.11298/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":"2026-07-05T09:36:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K7aVsJkO0c0iZ/fs9OUnChTXXWGvxx4FjtC8waKll9lQcj7RtPs5AgZXwoz/fiADb7YopxMBoNvD5Eqmd7WFAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T01:01:29.013444Z"},"content_sha256":"22e6bd8d346fba75e63aa77a4f900b23044d4399715d86443b8a2e53d80be55c","schema_version":"1.0","event_id":"sha256:22e6bd8d346fba75e63aa77a4f900b23044d4399715d86443b8a2e53d80be55c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K6G3MUANT4JDORCIYTDGAIBEQB/bundle.json","state_url":"https://pith.science/pith/K6G3MUANT4JDORCIYTDGAIBEQB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K6G3MUANT4JDORCIYTDGAIBEQB/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":"2026-08-08T01:01:29Z","links":{"resolver":"https://pith.science/pith/K6G3MUANT4JDORCIYTDGAIBEQB","bundle":"https://pith.science/pith/K6G3MUANT4JDORCIYTDGAIBEQB/bundle.json","state":"https://pith.science/pith/K6G3MUANT4JDORCIYTDGAIBEQB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K6G3MUANT4JDORCIYTDGAIBEQB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:K6G3MUANT4JDORCIYTDGAIBEQB","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":"09518cd425db8dff61b4554ae25e86d0af0a0481175bb94b1a748f618f6f7426","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2024-11-18T05:48:55Z","title_canon_sha256":"2de1638d03a89b8a4b642a082892d20209c9eba93a089142ade9fcfaee6950a5"},"schema_version":"1.0","source":{"id":"2411.11298","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.11298","created_at":"2026-07-05T09:36:54Z"},{"alias_kind":"arxiv_version","alias_value":"2411.11298v1","created_at":"2026-07-05T09:36:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.11298","created_at":"2026-07-05T09:36:54Z"},{"alias_kind":"pith_short_12","alias_value":"K6G3MUANT4JD","created_at":"2026-07-05T09:36:54Z"},{"alias_kind":"pith_short_16","alias_value":"K6G3MUANT4JDORCI","created_at":"2026-07-05T09:36:54Z"},{"alias_kind":"pith_short_8","alias_value":"K6G3MUAN","created_at":"2026-07-05T09:36:54Z"}],"graph_snapshots":[{"event_id":"sha256:22e6bd8d346fba75e63aa77a4f900b23044d4399715d86443b8a2e53d80be55c","target":"graph","created_at":"2026-07-05T09:36:54Z","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/2411.11298/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Burrows-Wheeler transform (BWT) is a reversible transform that converts a string $w$ into another string $\\mathsf{BWT}(w)$. The size of the run-length encoded BWT (RLBWT) can be interpreted as a measure of repetitiveness in the class of representations called dictionary compression which are essentially representations based on copy and paste operations. In this paper, we shed new light on the compressiveness of BWT and the bijective BWT (BBWT). We first extend previous results on the relations of their run-length compressed sizes $r$ and $r_B$. We also show that the so-called ``clustering","authors_text":"Hideo Bannai, Tomohiro I, Yuto Nakashima","cross_cats":["cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2024-11-18T05:48:55Z","title":"On the compressiveness of the Burrows-Wheeler transform"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.11298","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":"sha256:7d3334bd3273b45652717994858fba728c25a7134aae9fe901d4ae83f5303307","target":"record","created_at":"2026-07-05T09:36:54Z","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":"09518cd425db8dff61b4554ae25e86d0af0a0481175bb94b1a748f618f6f7426","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2024-11-18T05:48:55Z","title_canon_sha256":"2de1638d03a89b8a4b642a082892d20209c9eba93a089142ade9fcfaee6950a5"},"schema_version":"1.0","source":{"id":"2411.11298","kind":"arxiv","version":1}},"canonical_sha256":"578db6500d9f12374448c4c6602024805e21c1613c016f61085ecd0f6b869a5e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"578db6500d9f12374448c4c6602024805e21c1613c016f61085ecd0f6b869a5e","first_computed_at":"2026-07-05T09:36:54.169938Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:36:54.169938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J33WKcZj8ceXirI7WhwPhe/leA+q4QvuguwrJqalNwL5k91aqA0zuqjP03yBI56eIyanjsA2ESVQHoMzpNCjAg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:36:54.170375Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.11298","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d3334bd3273b45652717994858fba728c25a7134aae9fe901d4ae83f5303307","sha256:22e6bd8d346fba75e63aa77a4f900b23044d4399715d86443b8a2e53d80be55c"],"state_sha256":"b39b018a64ffd7088dadcc985ca210ea2c6831b45f2f1eb2662d377a96f1e2df"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t7wa2qvgc4ZBtRyPeDGR+2BpsCl3NGeqdMzQzMoMUnCvvLq8Kys132zNsTtAuvLYVnCUpjtkjIFxUjmFeScRBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T01:01:29.019136Z","bundle_sha256":"f91c0365c6e5ec7fdb3691a8f018fc2140e20e465c59aea6b7d33e4b54523a54"}}