{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:WGA27SWTMCCC672QCFQ6KAGFS2","short_pith_number":"pith:WGA27SWT","canonical_record":{"source":{"id":"2602.07964","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.FL","submitted_at":"2026-02-08T13:23:15Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"3f35fde8e740c8cc38fd013833e23719ae0f0982f28eb31b4d20d09014e9ed1b","abstract_canon_sha256":"a03cc1b5913eb4cc299b2b2a3a28bd3979415fc82a202ee3db8340383cebed74"},"schema_version":"1.0"},"canonical_sha256":"b181afcad360842f7f501161e500c596816408e6f8573262b42c3b0c7d594341","source":{"kind":"arxiv","id":"2602.07964","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.07964","created_at":"2026-06-30T02:17:15Z"},{"alias_kind":"arxiv_version","alias_value":"2602.07964v2","created_at":"2026-06-30T02:17:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.07964","created_at":"2026-06-30T02:17:15Z"},{"alias_kind":"pith_short_12","alias_value":"WGA27SWTMCCC","created_at":"2026-06-30T02:17:15Z"},{"alias_kind":"pith_short_16","alias_value":"WGA27SWTMCCC672Q","created_at":"2026-06-30T02:17:15Z"},{"alias_kind":"pith_short_8","alias_value":"WGA27SWT","created_at":"2026-06-30T02:17:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:WGA27SWTMCCC672QCFQ6KAGFS2","target":"record","payload":{"canonical_record":{"source":{"id":"2602.07964","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.FL","submitted_at":"2026-02-08T13:23:15Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"3f35fde8e740c8cc38fd013833e23719ae0f0982f28eb31b4d20d09014e9ed1b","abstract_canon_sha256":"a03cc1b5913eb4cc299b2b2a3a28bd3979415fc82a202ee3db8340383cebed74"},"schema_version":"1.0"},"canonical_sha256":"b181afcad360842f7f501161e500c596816408e6f8573262b42c3b0c7d594341","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-30T02:17:15.617987Z","signature_b64":"6Q5JTy5hjwQoTqKR/VA8fzVBufQunWlO7EpvqcHwY3M52fNw113PF9u46DPAsTgRixyLnPQs+saeuf+Up44zBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b181afcad360842f7f501161e500c596816408e6f8573262b42c3b0c7d594341","last_reissued_at":"2026-06-30T02:17:15.617310Z","signature_status":"signed_v1","first_computed_at":"2026-06-30T02:17:15.617310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2602.07964","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":"2026-06-30T02:17:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SSAcRBf1DIuqsgkV2F3Ukk5o+EUkktrj8mhJsM/bgCOIaY4HA1ZHZlD7Ru1CxEuMPYnLc+A5KLqUX8PlWdj+Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T12:47:21.612878Z"},"content_sha256":"43e70ed51c0b3cb8d4bcd1a998297bbde1bc713d4132800cf02208c97cc133e8","schema_version":"1.0","event_id":"sha256:43e70ed51c0b3cb8d4bcd1a998297bbde1bc713d4132800cf02208c97cc133e8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:WGA27SWTMCCC672QCFQ6KAGFS2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wheeler Bisimulations","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"cs.FL","authors_text":"Nicola Cotumaccio","submitted_at":"2026-02-08T13:23:15Z","abstract_excerpt":"Over the years, bisimulations have emerged as a pervasive paradigm, finding applications in numerous areas, including concurrency theory, model checking, automata theory, logic, programming languages and category theory. In this paper, we establish a connection between bisimulations and data compression. More precisely, we study the relationship between bisimulations and Wheeler automata (Alanko et al., SODA 2020), a class of automata that has received considerable attention in recent years. The standard notion of bisimulation is not appropriate, so we introduce Wheeler bisimulations, that is,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.07964","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/2602.07964/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":"2026-06-30T02:17:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kvxpQuDjWTHRjSfA+xcElgc9QoNkYCSwAoi9Zt/3Gog4IBQO4QfMSJnhAiK8lOyTdV+p0dyJ6+gEfCcQu1ysAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T12:47:21.613243Z"},"content_sha256":"66f7b0a3f23870e52872c6a8421483e482f702123e4c39d974a554b8bafd7acb","schema_version":"1.0","event_id":"sha256:66f7b0a3f23870e52872c6a8421483e482f702123e4c39d974a554b8bafd7acb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WGA27SWTMCCC672QCFQ6KAGFS2/bundle.json","state_url":"https://pith.science/pith/WGA27SWTMCCC672QCFQ6KAGFS2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WGA27SWTMCCC672QCFQ6KAGFS2/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":"2026-07-07T12:47:21Z","links":{"resolver":"https://pith.science/pith/WGA27SWTMCCC672QCFQ6KAGFS2","bundle":"https://pith.science/pith/WGA27SWTMCCC672QCFQ6KAGFS2/bundle.json","state":"https://pith.science/pith/WGA27SWTMCCC672QCFQ6KAGFS2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WGA27SWTMCCC672QCFQ6KAGFS2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:WGA27SWTMCCC672QCFQ6KAGFS2","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":"a03cc1b5913eb4cc299b2b2a3a28bd3979415fc82a202ee3db8340383cebed74","cross_cats_sorted":["cs.DS"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.FL","submitted_at":"2026-02-08T13:23:15Z","title_canon_sha256":"3f35fde8e740c8cc38fd013833e23719ae0f0982f28eb31b4d20d09014e9ed1b"},"schema_version":"1.0","source":{"id":"2602.07964","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.07964","created_at":"2026-06-30T02:17:15Z"},{"alias_kind":"arxiv_version","alias_value":"2602.07964v2","created_at":"2026-06-30T02:17:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.07964","created_at":"2026-06-30T02:17:15Z"},{"alias_kind":"pith_short_12","alias_value":"WGA27SWTMCCC","created_at":"2026-06-30T02:17:15Z"},{"alias_kind":"pith_short_16","alias_value":"WGA27SWTMCCC672Q","created_at":"2026-06-30T02:17:15Z"},{"alias_kind":"pith_short_8","alias_value":"WGA27SWT","created_at":"2026-06-30T02:17:15Z"}],"graph_snapshots":[{"event_id":"sha256:66f7b0a3f23870e52872c6a8421483e482f702123e4c39d974a554b8bafd7acb","target":"graph","created_at":"2026-06-30T02:17:15Z","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/2602.07964/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Over the years, bisimulations have emerged as a pervasive paradigm, finding applications in numerous areas, including concurrency theory, model checking, automata theory, logic, programming languages and category theory. In this paper, we establish a connection between bisimulations and data compression. More precisely, we study the relationship between bisimulations and Wheeler automata (Alanko et al., SODA 2020), a class of automata that has received considerable attention in recent years. The standard notion of bisimulation is not appropriate, so we introduce Wheeler bisimulations, that is,","authors_text":"Nicola Cotumaccio","cross_cats":["cs.DS"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.FL","submitted_at":"2026-02-08T13:23:15Z","title":"Wheeler Bisimulations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.07964","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":"sha256:43e70ed51c0b3cb8d4bcd1a998297bbde1bc713d4132800cf02208c97cc133e8","target":"record","created_at":"2026-06-30T02:17:15Z","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":"a03cc1b5913eb4cc299b2b2a3a28bd3979415fc82a202ee3db8340383cebed74","cross_cats_sorted":["cs.DS"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.FL","submitted_at":"2026-02-08T13:23:15Z","title_canon_sha256":"3f35fde8e740c8cc38fd013833e23719ae0f0982f28eb31b4d20d09014e9ed1b"},"schema_version":"1.0","source":{"id":"2602.07964","kind":"arxiv","version":2}},"canonical_sha256":"b181afcad360842f7f501161e500c596816408e6f8573262b42c3b0c7d594341","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b181afcad360842f7f501161e500c596816408e6f8573262b42c3b0c7d594341","first_computed_at":"2026-06-30T02:17:15.617310Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T02:17:15.617310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6Q5JTy5hjwQoTqKR/VA8fzVBufQunWlO7EpvqcHwY3M52fNw113PF9u46DPAsTgRixyLnPQs+saeuf+Up44zBw==","signature_status":"signed_v1","signed_at":"2026-06-30T02:17:15.617987Z","signed_message":"canonical_sha256_bytes"},"source_id":"2602.07964","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43e70ed51c0b3cb8d4bcd1a998297bbde1bc713d4132800cf02208c97cc133e8","sha256:66f7b0a3f23870e52872c6a8421483e482f702123e4c39d974a554b8bafd7acb"],"state_sha256":"bc6ccb384d36b66be4f0d7043288bf17ddce3b279db93d6ef588482cf82c3e9b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cCcCQ0JMwr5IiZ1BzTM8DdYReihtaecnDyC5odD8on8PQJzTYPObThk3QYeZj0npUtX2yU/UvqeYnHYDG5ebCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T12:47:21.615131Z","bundle_sha256":"317ba898f831315dfad733ef13e1d8050ee33956bdc9db3590e5c3bac6b39cc3"}}