{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FSSD2KHWMIBGEYWTSD6GZTY24Z","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":"c135bb3c55142c049ae37338f243d20a6f759ee6f67af1fd1b4840f8e3c45820","cross_cats_sorted":["cs.CE","cs.DS","q-bio.BM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-09-18T14:41:17Z","title_canon_sha256":"ff8ab15c54a3dd13495467070bfc006ba92f9ea00baa41dd8236db7629429583"},"schema_version":"1.0","source":{"id":"1309.4662","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.4662","created_at":"2026-05-18T02:26:31Z"},{"alias_kind":"arxiv_version","alias_value":"1309.4662v3","created_at":"2026-05-18T02:26:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.4662","created_at":"2026-05-18T02:26:31Z"},{"alias_kind":"pith_short_12","alias_value":"FSSD2KHWMIBG","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FSSD2KHWMIBGEYWT","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FSSD2KHW","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:4b4f1a0b1631385eec9c265bf4aaef24a38341bf9aa7ae8be71c667a94c50965","target":"graph","created_at":"2026-05-18T02:26:31Z","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"},"paper":{"abstract_excerpt":"Building a structure using self-assembly of DNA molecules by origami folding requires finding a route for the scaffolding strand through the desired structure. When the target structure is a 1-complex (or the geometric realization of a graph), an optimal route corresponds to an Eulerian circuit through the graph with minimum turning cost. By showing that it leads to a solution to the 3-SAT problem, we prove that the general problem of finding an optimal route for a scaffolding strand for such structures is NP-hard. We then show that the problem may readily be transformed into a Traveling Sales","authors_text":"Andrew McDowell, Greta Pangborn, Iain Moffatt, Joanna A. Ellis-Monaghan","cross_cats":["cs.CE","cs.DS","q-bio.BM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-09-18T14:41:17Z","title":"DNA origami and the complexity of Eulerian circuits with turning costs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.4662","kind":"arxiv","version":3},"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:a52b912e3f549a9a3e452f4447ad798d12430d0e61c6fd6c2e5d1ad82889a4cf","target":"record","created_at":"2026-05-18T02:26:31Z","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":"c135bb3c55142c049ae37338f243d20a6f759ee6f67af1fd1b4840f8e3c45820","cross_cats_sorted":["cs.CE","cs.DS","q-bio.BM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-09-18T14:41:17Z","title_canon_sha256":"ff8ab15c54a3dd13495467070bfc006ba92f9ea00baa41dd8236db7629429583"},"schema_version":"1.0","source":{"id":"1309.4662","kind":"arxiv","version":3}},"canonical_sha256":"2ca43d28f662026262d390fc6ccf1ae66ef3c00c19832c5e3797cc3a59e4aaac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ca43d28f662026262d390fc6ccf1ae66ef3c00c19832c5e3797cc3a59e4aaac","first_computed_at":"2026-05-18T02:26:31.995302Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:31.995302Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Pwr/0yA4FI5HEn3TnjAZVn7Lod4ZKJia+xjY0RCZv7/IX3CNwUf3Yf5mdLHY98rlFUBVRMZ159Oz28qHPrjUDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:31.995757Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.4662","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a52b912e3f549a9a3e452f4447ad798d12430d0e61c6fd6c2e5d1ad82889a4cf","sha256:4b4f1a0b1631385eec9c265bf4aaef24a38341bf9aa7ae8be71c667a94c50965"],"state_sha256":"d12e62231d395c4c355a73b5913dbae4a82534e98f90f3a44cc395e274a60916"}