{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:YZR5FEOIR7MLFXEEKYWDMPPH5U","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":"bc1dae3b55fa085048323c4a0bc36fa4177bfc5fc20a617ad3534e4d65a8f500","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-08-31T20:54:21Z","title_canon_sha256":"87638201b25aacf2e73ddcf5ab7ab7f08a46ef812d4a5aee8bdff9838b0bf5e3"},"schema_version":"1.0","source":{"id":"quant-ph/0609001","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0609001","created_at":"2026-07-04T14:56:46Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0609001v1","created_at":"2026-07-04T14:56:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0609001","created_at":"2026-07-04T14:56:46Z"},{"alias_kind":"pith_short_12","alias_value":"YZR5FEOIR7ML","created_at":"2026-07-04T14:56:46Z"},{"alias_kind":"pith_short_16","alias_value":"YZR5FEOIR7MLFXEE","created_at":"2026-07-04T14:56:46Z"},{"alias_kind":"pith_short_8","alias_value":"YZR5FEOI","created_at":"2026-07-04T14:56:46Z"}],"graph_snapshots":[{"event_id":"sha256:49439c684fcd92efb70a3bd642934d86fe7fafe376dce1e9c68bbf2bc988c850","target":"graph","created_at":"2026-07-04T14:56:46Z","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/quant-ph/0609001/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give a new ``nested adds'' circuit for implementing Shor's algorithm in linear width and quadratic depth on a nearest-neighbor machine. Our circuit combines Draper's transform adder with approximation ideas of Zalka. The transform adder requires small controlled rotations. We also give another version, with slightly larger depth, using only reversible classical gates. We do not know which version will ultimately be cheaper to implement.","authors_text":"Samuel A. Kutin","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2006-08-31T20:54:21Z","title":"Shor's algorithm on a nearest-neighbor machine"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0609001","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":"sha256:3cd64a1a1d6c957d20e2de9ee4cc3e27776b341f59ff30a0c83bacfce054d29c","target":"record","created_at":"2026-07-04T14:56:46Z","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":"bc1dae3b55fa085048323c4a0bc36fa4177bfc5fc20a617ad3534e4d65a8f500","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-08-31T20:54:21Z","title_canon_sha256":"87638201b25aacf2e73ddcf5ab7ab7f08a46ef812d4a5aee8bdff9838b0bf5e3"},"schema_version":"1.0","source":{"id":"quant-ph/0609001","kind":"arxiv","version":1}},"canonical_sha256":"c663d291c88fd8b2dc84562c363de7ed2874fc1fc9b95aa4468460b8d8622917","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c663d291c88fd8b2dc84562c363de7ed2874fc1fc9b95aa4468460b8d8622917","first_computed_at":"2026-07-04T14:56:46.078123Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:56:46.078123Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zXVWSFFeW0m5va+zrQlrNv99G6Rrh3VJW0YZG5M0r0aBkqlN59sjyRmjCZ1rjpB6eawZYp98h54+GY/WmKlZDQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:56:46.078502Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0609001","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3cd64a1a1d6c957d20e2de9ee4cc3e27776b341f59ff30a0c83bacfce054d29c","sha256:49439c684fcd92efb70a3bd642934d86fe7fafe376dce1e9c68bbf2bc988c850"],"state_sha256":"5c32fef2a0dd32990829b37817a48aca52d40a1dadec600160996fef88625757"}