{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:U36EJ5YJRGFNWO562OWP5DLSOK","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":"b7a19c49d5f892ae2977d95ef4d4fc8dd996b09708a94a8d7c0bf3360d4c7f24","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2002-10-21T05:12:31Z","title_canon_sha256":"d05a105ac2714fba39c1929682d5192c1e5cba94a0f4cc6fe7645cc68e98bf40"},"schema_version":"1.0","source":{"id":"quant-ph/0210141","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0210141","created_at":"2026-05-18T03:47:09Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0210141v2","created_at":"2026-05-18T03:47:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0210141","created_at":"2026-05-18T03:47:09Z"},{"alias_kind":"pith_short_12","alias_value":"U36EJ5YJRGFN","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"U36EJ5YJRGFNWO56","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"U36EJ5YJ","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:ca6e280b5f5d1729f3448d05e912753c0c450c03f9c02a7917d84a62924a609f","target":"graph","created_at":"2026-05-18T03:47:09Z","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":"In this paper, we use the methods found in quant-ph/0201095 to create a continuous variable analogue of Shor's quantum factoring algorithm. By this we mean a quantum hidden subgroup algorithm that finds the period P of a function F:R-->R from the reals R to the reals R, where F belongs to a very general class of functions, called the class of admissible functions.\n  One objective in creating this continuous variable quantum algorithm was to make the structure of Shor's factoring algorithm more mathematically transparent, and thereby give some insight into the inner workings of Shor's original ","authors_text":"Jr., Louis H. Kauffman, Samuel J. Lomonaco","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2002-10-21T05:12:31Z","title":"A Continuous Variable Shor Algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0210141","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":"sha256:1461fca17817d57ed4d3279adfb09d5f09eca1c647903935299616c0611612d8","target":"record","created_at":"2026-05-18T03:47:09Z","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":"b7a19c49d5f892ae2977d95ef4d4fc8dd996b09708a94a8d7c0bf3360d4c7f24","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2002-10-21T05:12:31Z","title_canon_sha256":"d05a105ac2714fba39c1929682d5192c1e5cba94a0f4cc6fe7645cc68e98bf40"},"schema_version":"1.0","source":{"id":"quant-ph/0210141","kind":"arxiv","version":2}},"canonical_sha256":"a6fc44f709898adb3bbed3acfe8d727282dfad942eb5250017cea79ba2b0318e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a6fc44f709898adb3bbed3acfe8d727282dfad942eb5250017cea79ba2b0318e","first_computed_at":"2026-05-18T03:47:09.316997Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:47:09.316997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dimaQR28dyAgwFCcBVSQOPY6SeVbziwJ7BMJZOncAPzd1SX2AjRAqPy0dXh9o3KKSfBMqPGWBtztEqJRsT1MBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:47:09.317438Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0210141","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1461fca17817d57ed4d3279adfb09d5f09eca1c647903935299616c0611612d8","sha256:ca6e280b5f5d1729f3448d05e912753c0c450c03f9c02a7917d84a62924a609f"],"state_sha256":"22add6883fd07d050742a631ddb9037c648d147e70dc590ca778f910f1c1dd67"}