{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:ZQP5KARDUYK7A5RNWVEKMVHSG6","short_pith_number":"pith:ZQP5KARD","canonical_record":{"source":{"id":"2402.01942","kind":"arxiv","version":5},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.GN","submitted_at":"2024-02-02T22:36:21Z","cross_cats_sorted":["cs.DS","math.CO"],"title_canon_sha256":"a76157a42b2c6c18664b4915d66f932e254ec8fb5c2314547d630b98e2214019","abstract_canon_sha256":"63f720622aa12eb4b3b798846ddf7caf746a0d56bda3c36688f290cbd7b7dd91"},"schema_version":"1.0"},"canonical_sha256":"cc1fd50223a615f0762db548a654f237978cd1d37cf316fc7563593b52b4736e","source":{"kind":"arxiv","id":"2402.01942","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.01942","created_at":"2026-07-05T11:11:30Z"},{"alias_kind":"arxiv_version","alias_value":"2402.01942v5","created_at":"2026-07-05T11:11:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.01942","created_at":"2026-07-05T11:11:30Z"},{"alias_kind":"pith_short_12","alias_value":"ZQP5KARDUYK7","created_at":"2026-07-05T11:11:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZQP5KARDUYK7A5RN","created_at":"2026-07-05T11:11:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZQP5KARD","created_at":"2026-07-05T11:11:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:ZQP5KARDUYK7A5RNWVEKMVHSG6","target":"record","payload":{"canonical_record":{"source":{"id":"2402.01942","kind":"arxiv","version":5},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.GN","submitted_at":"2024-02-02T22:36:21Z","cross_cats_sorted":["cs.DS","math.CO"],"title_canon_sha256":"a76157a42b2c6c18664b4915d66f932e254ec8fb5c2314547d630b98e2214019","abstract_canon_sha256":"63f720622aa12eb4b3b798846ddf7caf746a0d56bda3c36688f290cbd7b7dd91"},"schema_version":"1.0"},"canonical_sha256":"cc1fd50223a615f0762db548a654f237978cd1d37cf316fc7563593b52b4736e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:11:30.924108Z","signature_b64":"tG+1AJn2fyJi/Ioeg8+UAml2qpnzIvlTIAvTJhBu+lByoLKYHO6sehviyLbYKWvouHdwpo8OdJIxsFqidGJ6Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc1fd50223a615f0762db548a654f237978cd1d37cf316fc7563593b52b4736e","last_reissued_at":"2026-07-05T11:11:30.923521Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:11:30.923521Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2402.01942","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:11:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J8pkx1t+WgiDVCfm+ibuHiO8QbR0hRbVCBgAz842q80dY62BuxB18t2Yofz+JbxbHCgqXT1PmvQmq8kX5wVTCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T09:25:42.383089Z"},"content_sha256":"07e9ab1f8aedb569b02731ba1fb3b29ad34de21add03a3548aae72e5acd8cd49","schema_version":"1.0","event_id":"sha256:07e9ab1f8aedb569b02731ba1fb3b29ad34de21add03a3548aae72e5acd8cd49"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:ZQP5KARDUYK7A5RNWVEKMVHSG6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pairwise Rearrangement is Fixed-Parameter Tractable in the Single Cut-and-Join Model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.DS","math.CO"],"primary_cat":"q-bio.GN","authors_text":"Alexander Wiedemann, Garner Cochran, Grace Stadnyk, Heather Smith Blake, Inne Singgih, Lora Bailey, Michael Levet, Nathan Fox, Reem Mahmoud","submitted_at":"2024-02-02T22:36:21Z","abstract_excerpt":"Genome rearrangement is a common model for molecular evolution. In this paper, we consider the Pairwise Rearrangement problem, which takes as input two genomes and asks for the number of minimum-length sequences of permissible operations transforming the first genome into the second. In the Single Cut-and-Join model (Bergeron, Medvedev, & Stoye, J. Comput. Biol. 2010), Pairwise Rearrangement is $\\#\\textsf{P}$-complete (Bailey, et. al., COCOON 2023), which implies that exact sampling is intractable. In order to cope with this intractability, we investigate the parameterized complexity of this p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.01942","kind":"arxiv","version":5},"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/2402.01942/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":"2026-07-05T11:11:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WgAEAz6ldD1eWzytcDOykgYWqKBuEfncdC9aHRmZ3bmh5nj7cT1J+/RozKQ52f7c6Dz5kSQge4Ye/G82NG4GAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T09:25:42.383619Z"},"content_sha256":"6c3a7684a8b1d872974257a7e212bbf8168fad66090a8aaeafa80f678924f853","schema_version":"1.0","event_id":"sha256:6c3a7684a8b1d872974257a7e212bbf8168fad66090a8aaeafa80f678924f853"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZQP5KARDUYK7A5RNWVEKMVHSG6/bundle.json","state_url":"https://pith.science/pith/ZQP5KARDUYK7A5RNWVEKMVHSG6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZQP5KARDUYK7A5RNWVEKMVHSG6/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":"2026-08-14T09:25:42Z","links":{"resolver":"https://pith.science/pith/ZQP5KARDUYK7A5RNWVEKMVHSG6","bundle":"https://pith.science/pith/ZQP5KARDUYK7A5RNWVEKMVHSG6/bundle.json","state":"https://pith.science/pith/ZQP5KARDUYK7A5RNWVEKMVHSG6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZQP5KARDUYK7A5RNWVEKMVHSG6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ZQP5KARDUYK7A5RNWVEKMVHSG6","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":"63f720622aa12eb4b3b798846ddf7caf746a0d56bda3c36688f290cbd7b7dd91","cross_cats_sorted":["cs.DS","math.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.GN","submitted_at":"2024-02-02T22:36:21Z","title_canon_sha256":"a76157a42b2c6c18664b4915d66f932e254ec8fb5c2314547d630b98e2214019"},"schema_version":"1.0","source":{"id":"2402.01942","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.01942","created_at":"2026-07-05T11:11:30Z"},{"alias_kind":"arxiv_version","alias_value":"2402.01942v5","created_at":"2026-07-05T11:11:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.01942","created_at":"2026-07-05T11:11:30Z"},{"alias_kind":"pith_short_12","alias_value":"ZQP5KARDUYK7","created_at":"2026-07-05T11:11:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZQP5KARDUYK7A5RN","created_at":"2026-07-05T11:11:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZQP5KARD","created_at":"2026-07-05T11:11:30Z"}],"graph_snapshots":[{"event_id":"sha256:6c3a7684a8b1d872974257a7e212bbf8168fad66090a8aaeafa80f678924f853","target":"graph","created_at":"2026-07-05T11:11:30Z","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/2402.01942/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Genome rearrangement is a common model for molecular evolution. In this paper, we consider the Pairwise Rearrangement problem, which takes as input two genomes and asks for the number of minimum-length sequences of permissible operations transforming the first genome into the second. In the Single Cut-and-Join model (Bergeron, Medvedev, & Stoye, J. Comput. Biol. 2010), Pairwise Rearrangement is $\\#\\textsf{P}$-complete (Bailey, et. al., COCOON 2023), which implies that exact sampling is intractable. In order to cope with this intractability, we investigate the parameterized complexity of this p","authors_text":"Alexander Wiedemann, Garner Cochran, Grace Stadnyk, Heather Smith Blake, Inne Singgih, Lora Bailey, Michael Levet, Nathan Fox, Reem Mahmoud","cross_cats":["cs.DS","math.CO"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.GN","submitted_at":"2024-02-02T22:36:21Z","title":"Pairwise Rearrangement is Fixed-Parameter Tractable in the Single Cut-and-Join Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.01942","kind":"arxiv","version":5},"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":"sha256:07e9ab1f8aedb569b02731ba1fb3b29ad34de21add03a3548aae72e5acd8cd49","target":"record","created_at":"2026-07-05T11:11:30Z","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":"63f720622aa12eb4b3b798846ddf7caf746a0d56bda3c36688f290cbd7b7dd91","cross_cats_sorted":["cs.DS","math.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.GN","submitted_at":"2024-02-02T22:36:21Z","title_canon_sha256":"a76157a42b2c6c18664b4915d66f932e254ec8fb5c2314547d630b98e2214019"},"schema_version":"1.0","source":{"id":"2402.01942","kind":"arxiv","version":5}},"canonical_sha256":"cc1fd50223a615f0762db548a654f237978cd1d37cf316fc7563593b52b4736e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc1fd50223a615f0762db548a654f237978cd1d37cf316fc7563593b52b4736e","first_computed_at":"2026-07-05T11:11:30.923521Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:11:30.923521Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tG+1AJn2fyJi/Ioeg8+UAml2qpnzIvlTIAvTJhBu+lByoLKYHO6sehviyLbYKWvouHdwpo8OdJIxsFqidGJ6Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:11:30.924108Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.01942","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07e9ab1f8aedb569b02731ba1fb3b29ad34de21add03a3548aae72e5acd8cd49","sha256:6c3a7684a8b1d872974257a7e212bbf8168fad66090a8aaeafa80f678924f853"],"state_sha256":"d84a9b780c5eaffa875eadc0e5be9e4db2942912889b7657805709ab2dfe9857"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"taUaG4j55ojIpxTywtnLk5bRehpUvLTuzOajjV8HjWpNtcb+Kf1ZK5AdidHGof9ryDe1DzO7XrZPg5mHQ5YVCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T09:25:42.388768Z","bundle_sha256":"748b0768e8cc027727cd6a57d76eb41a86375dfca5a47cfa27a9b70bca6f8c67"}}