{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:6H7Q55LAQ7UYI4BHGIIAF3KWO6","short_pith_number":"pith:6H7Q55LA","canonical_record":{"source":{"id":"2305.01851","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.GN","submitted_at":"2023-05-03T01:52:17Z","cross_cats_sorted":["cs.CC","math.CO"],"title_canon_sha256":"7a84804585eed462d8b28d1051edf6c5156aaa29903643c3ebe757b8ca05deaf","abstract_canon_sha256":"a46d73f81cf54dcd031ae8acad1d6439e1348b34bfabbd2b9cfec654f19856dd"},"schema_version":"1.0"},"canonical_sha256":"f1ff0ef56087e9847027321002ed56779857f41851adc6b87e6e7ff5b847c3de","source":{"kind":"arxiv","id":"2305.01851","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.01851","created_at":"2026-07-05T09:12:22Z"},{"alias_kind":"arxiv_version","alias_value":"2305.01851v4","created_at":"2026-07-05T09:12:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.01851","created_at":"2026-07-05T09:12:22Z"},{"alias_kind":"pith_short_12","alias_value":"6H7Q55LAQ7UY","created_at":"2026-07-05T09:12:22Z"},{"alias_kind":"pith_short_16","alias_value":"6H7Q55LAQ7UYI4BH","created_at":"2026-07-05T09:12:22Z"},{"alias_kind":"pith_short_8","alias_value":"6H7Q55LA","created_at":"2026-07-05T09:12:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:6H7Q55LAQ7UYI4BHGIIAF3KWO6","target":"record","payload":{"canonical_record":{"source":{"id":"2305.01851","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.GN","submitted_at":"2023-05-03T01:52:17Z","cross_cats_sorted":["cs.CC","math.CO"],"title_canon_sha256":"7a84804585eed462d8b28d1051edf6c5156aaa29903643c3ebe757b8ca05deaf","abstract_canon_sha256":"a46d73f81cf54dcd031ae8acad1d6439e1348b34bfabbd2b9cfec654f19856dd"},"schema_version":"1.0"},"canonical_sha256":"f1ff0ef56087e9847027321002ed56779857f41851adc6b87e6e7ff5b847c3de","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:12:22.613538Z","signature_b64":"sye+w45WORVyxffdY3dzjDsCc1DMnMgfOoPSHYKMZp/9Mck9UQHhvTdUAyQfP8dA50Olguya7383HfJWOXGSCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1ff0ef56087e9847027321002ed56779857f41851adc6b87e6e7ff5b847c3de","last_reissued_at":"2026-07-05T09:12:22.613061Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:12:22.613061Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2305.01851","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:12:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8vb1ROmve233FGpPlDkhg+UD4jT2ihY8aFjLqGh5sBUFXyN1iekjbigyjnTG7DPWb1KkZ3jCo/8ISJhKEu18Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T03:05:22.367510Z"},"content_sha256":"27fd01adef2b04a2f0b3f3bd1d7a1312ef86496566f8125eb425a1bd8ce186fc","schema_version":"1.0","event_id":"sha256:27fd01adef2b04a2f0b3f3bd1d7a1312ef86496566f8125eb425a1bd8ce186fc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:6H7Q55LAQ7UYI4BHGIIAF3KWO6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Complexity and Enumeration in Models of Genome Rearrangement","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.CC","math.CO"],"primary_cat":"q-bio.GN","authors_text":"Alexander Wiedemann, Elizabeth Matson, Garner Cochran, Grace Stadnyk, Heather Smith Blake, Inne Singgih, Lora Bailey, Michael Levet, Nathan Fox, Reem Mahmoud, Xinyi Wang","submitted_at":"2023-05-03T01:52:17Z","abstract_excerpt":"In this paper, we examine the computational complexity of enumeration in certain genome rearrangement models. We first show that the Pairwise Rearrangement problem in the Single Cut-and-Join model (Bergeron, Medvedev, & Stoye, J. Comput. Biol. 2010) is $\\#\\textsf{P}$-complete under polynomial-time Turing reductions. Next, we show that in the Single Cut or Join model (Feijao & Meidanis, IEEE ACM Trans. Comp. Biol. Bioinf. 2011), the problem of enumerating all medians ($\\#$Median) is logspace-computable ($\\textsf{FL}$), improving upon the previous polynomial-time ($\\textsf{FP}$) bound of Mikl\\'o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.01851","kind":"arxiv","version":4},"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/2305.01851/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":"2026-07-05T09:12:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6t4/7eJ3vHz8vs1bVqGqfwCgERv3XAZVLt52JR4JuuYjgh1s7wJhDYnItDjJ4HuWs/nE1H0RvEy/CfszsD4fCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T03:05:22.368397Z"},"content_sha256":"42dd1a785062b000716c7c51e4149ec386498873db5e75c9d1459746c49e5857","schema_version":"1.0","event_id":"sha256:42dd1a785062b000716c7c51e4149ec386498873db5e75c9d1459746c49e5857"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6H7Q55LAQ7UYI4BHGIIAF3KWO6/bundle.json","state_url":"https://pith.science/pith/6H7Q55LAQ7UYI4BHGIIAF3KWO6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6H7Q55LAQ7UYI4BHGIIAF3KWO6/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":"2026-08-14T03:05:22Z","links":{"resolver":"https://pith.science/pith/6H7Q55LAQ7UYI4BHGIIAF3KWO6","bundle":"https://pith.science/pith/6H7Q55LAQ7UYI4BHGIIAF3KWO6/bundle.json","state":"https://pith.science/pith/6H7Q55LAQ7UYI4BHGIIAF3KWO6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6H7Q55LAQ7UYI4BHGIIAF3KWO6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:6H7Q55LAQ7UYI4BHGIIAF3KWO6","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":"a46d73f81cf54dcd031ae8acad1d6439e1348b34bfabbd2b9cfec654f19856dd","cross_cats_sorted":["cs.CC","math.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.GN","submitted_at":"2023-05-03T01:52:17Z","title_canon_sha256":"7a84804585eed462d8b28d1051edf6c5156aaa29903643c3ebe757b8ca05deaf"},"schema_version":"1.0","source":{"id":"2305.01851","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.01851","created_at":"2026-07-05T09:12:22Z"},{"alias_kind":"arxiv_version","alias_value":"2305.01851v4","created_at":"2026-07-05T09:12:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.01851","created_at":"2026-07-05T09:12:22Z"},{"alias_kind":"pith_short_12","alias_value":"6H7Q55LAQ7UY","created_at":"2026-07-05T09:12:22Z"},{"alias_kind":"pith_short_16","alias_value":"6H7Q55LAQ7UYI4BH","created_at":"2026-07-05T09:12:22Z"},{"alias_kind":"pith_short_8","alias_value":"6H7Q55LA","created_at":"2026-07-05T09:12:22Z"}],"graph_snapshots":[{"event_id":"sha256:42dd1a785062b000716c7c51e4149ec386498873db5e75c9d1459746c49e5857","target":"graph","created_at":"2026-07-05T09:12:22Z","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/2305.01851/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we examine the computational complexity of enumeration in certain genome rearrangement models. We first show that the Pairwise Rearrangement problem in the Single Cut-and-Join model (Bergeron, Medvedev, & Stoye, J. Comput. Biol. 2010) is $\\#\\textsf{P}$-complete under polynomial-time Turing reductions. Next, we show that in the Single Cut or Join model (Feijao & Meidanis, IEEE ACM Trans. Comp. Biol. Bioinf. 2011), the problem of enumerating all medians ($\\#$Median) is logspace-computable ($\\textsf{FL}$), improving upon the previous polynomial-time ($\\textsf{FP}$) bound of Mikl\\'o","authors_text":"Alexander Wiedemann, Elizabeth Matson, Garner Cochran, Grace Stadnyk, Heather Smith Blake, Inne Singgih, Lora Bailey, Michael Levet, Nathan Fox, Reem Mahmoud, Xinyi Wang","cross_cats":["cs.CC","math.CO"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.GN","submitted_at":"2023-05-03T01:52:17Z","title":"Complexity and Enumeration in Models of Genome Rearrangement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.01851","kind":"arxiv","version":4},"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":"sha256:27fd01adef2b04a2f0b3f3bd1d7a1312ef86496566f8125eb425a1bd8ce186fc","target":"record","created_at":"2026-07-05T09:12:22Z","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":"a46d73f81cf54dcd031ae8acad1d6439e1348b34bfabbd2b9cfec654f19856dd","cross_cats_sorted":["cs.CC","math.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.GN","submitted_at":"2023-05-03T01:52:17Z","title_canon_sha256":"7a84804585eed462d8b28d1051edf6c5156aaa29903643c3ebe757b8ca05deaf"},"schema_version":"1.0","source":{"id":"2305.01851","kind":"arxiv","version":4}},"canonical_sha256":"f1ff0ef56087e9847027321002ed56779857f41851adc6b87e6e7ff5b847c3de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1ff0ef56087e9847027321002ed56779857f41851adc6b87e6e7ff5b847c3de","first_computed_at":"2026-07-05T09:12:22.613061Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:12:22.613061Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sye+w45WORVyxffdY3dzjDsCc1DMnMgfOoPSHYKMZp/9Mck9UQHhvTdUAyQfP8dA50Olguya7383HfJWOXGSCg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:12:22.613538Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.01851","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27fd01adef2b04a2f0b3f3bd1d7a1312ef86496566f8125eb425a1bd8ce186fc","sha256:42dd1a785062b000716c7c51e4149ec386498873db5e75c9d1459746c49e5857"],"state_sha256":"9d0baf2da1c74d8fd38d719727ea0f9b2f3d8afa2a38df2541e8f2076b6379e7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pH1iAF0STqlThuXopN4B2FIba6GrEq3k+nvAI7ki9wzwPuHvljn/+99HZ0IMcT48W2yXRY60Luyv1laa9fuUDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T03:05:22.375124Z","bundle_sha256":"c3f4c294ab538c14d7f5021b3b3e70d070ba56f8304c1cd31462734f30af2d0b"}}