{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:UTCZTVUHFK3HSYW4YM7FTZBDXJ","short_pith_number":"pith:UTCZTVUH","canonical_record":{"source":{"id":"1406.2040","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-06-08T23:24:49Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"6b0994b185fc271b3e6d4abd7e4522208c71ae976c402d9639f683dba28e6d5c","abstract_canon_sha256":"6b993df1aa76dc35112244f75def69dde7be123521c0d5a3a8b480639369fab6"},"schema_version":"1.0"},"canonical_sha256":"a4c599d6872ab67962dcc33e59e423ba78ccfaef861c9394cae0daaf3f8b8828","source":{"kind":"arxiv","id":"1406.2040","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.2040","created_at":"2026-05-18T01:23:38Z"},{"alias_kind":"arxiv_version","alias_value":"1406.2040v2","created_at":"2026-05-18T01:23:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2040","created_at":"2026-05-18T01:23:38Z"},{"alias_kind":"pith_short_12","alias_value":"UTCZTVUHFK3H","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UTCZTVUHFK3HSYW4","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UTCZTVUH","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:UTCZTVUHFK3HSYW4YM7FTZBDXJ","target":"record","payload":{"canonical_record":{"source":{"id":"1406.2040","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-06-08T23:24:49Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"6b0994b185fc271b3e6d4abd7e4522208c71ae976c402d9639f683dba28e6d5c","abstract_canon_sha256":"6b993df1aa76dc35112244f75def69dde7be123521c0d5a3a8b480639369fab6"},"schema_version":"1.0"},"canonical_sha256":"a4c599d6872ab67962dcc33e59e423ba78ccfaef861c9394cae0daaf3f8b8828","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:38.874277Z","signature_b64":"1ulsgyXBr52ItSKAMYAjOpxagjbTbRoyvgZNnXqyr/7pq61onWiWdWpU70w/HVurqn8WnEGyMvhcEpnfxpx5DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a4c599d6872ab67962dcc33e59e423ba78ccfaef861c9394cae0daaf3f8b8828","last_reissued_at":"2026-05-18T01:23:38.873725Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:38.873725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.2040","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:23:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cz7eVSoRB4xJgb3p0JG0RGvj2sTuxMM9D8bZBa+pzqLEonRYDhXIYSGNUoaoXcc4F1dSfOupZCI2YiKdsxqoBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T04:10:17.238265Z"},"content_sha256":"aa3a9fc5fe566f6e9728a42593decbc44d2d594687e4aa3ab2a9964c0f371bc1","schema_version":"1.0","event_id":"sha256:aa3a9fc5fe566f6e9728a42593decbc44d2d594687e4aa3ab2a9964c0f371bc1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:UTCZTVUHFK3HSYW4YM7FTZBDXJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum arithmetic and numerical analysis using Repeat-Until-Success circuits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"quant-ph","authors_text":"Martin Roetteler, Nathan Wiebe","submitted_at":"2014-06-08T23:24:49Z","abstract_excerpt":"We develop a method for approximate synthesis of single--qubit rotations of the form $e^{-i f(\\phi_1,\\ldots,\\phi_k)X}$ that is based on the Repeat-Until-Success (RUS) framework for quantum circuit synthesis. We demonstrate how smooth computable functions $f$ can be synthesized from two basic primitives. This synthesis approach constitutes a manifestly quantum form of arithmetic that differs greatly from the approaches commonly used in quantum algorithms. The key advantage of our approach is that it requires far fewer qubits than existing approaches: as a case in point, we show that using as fe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2040","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T01:23:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1PQJFZSUO9iaMfviAYqCpEbOJ6kz/XNSo4PhqmFBarGy7TfMBuJ9IA/PGu03XUkcIIkO6btyvOZj0d9ydzqxCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T04:10:17.238922Z"},"content_sha256":"98d0bc3d6e89c991e9785463275c536b8945f9d13f1a8899a2f972950a46e7a2","schema_version":"1.0","event_id":"sha256:98d0bc3d6e89c991e9785463275c536b8945f9d13f1a8899a2f972950a46e7a2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UTCZTVUHFK3HSYW4YM7FTZBDXJ/bundle.json","state_url":"https://pith.science/pith/UTCZTVUHFK3HSYW4YM7FTZBDXJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UTCZTVUHFK3HSYW4YM7FTZBDXJ/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":"2026-05-27T04:10:17Z","links":{"resolver":"https://pith.science/pith/UTCZTVUHFK3HSYW4YM7FTZBDXJ","bundle":"https://pith.science/pith/UTCZTVUHFK3HSYW4YM7FTZBDXJ/bundle.json","state":"https://pith.science/pith/UTCZTVUHFK3HSYW4YM7FTZBDXJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UTCZTVUHFK3HSYW4YM7FTZBDXJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:UTCZTVUHFK3HSYW4YM7FTZBDXJ","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":"6b993df1aa76dc35112244f75def69dde7be123521c0d5a3a8b480639369fab6","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-06-08T23:24:49Z","title_canon_sha256":"6b0994b185fc271b3e6d4abd7e4522208c71ae976c402d9639f683dba28e6d5c"},"schema_version":"1.0","source":{"id":"1406.2040","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.2040","created_at":"2026-05-18T01:23:38Z"},{"alias_kind":"arxiv_version","alias_value":"1406.2040v2","created_at":"2026-05-18T01:23:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2040","created_at":"2026-05-18T01:23:38Z"},{"alias_kind":"pith_short_12","alias_value":"UTCZTVUHFK3H","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UTCZTVUHFK3HSYW4","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UTCZTVUH","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:98d0bc3d6e89c991e9785463275c536b8945f9d13f1a8899a2f972950a46e7a2","target":"graph","created_at":"2026-05-18T01:23:38Z","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":"We develop a method for approximate synthesis of single--qubit rotations of the form $e^{-i f(\\phi_1,\\ldots,\\phi_k)X}$ that is based on the Repeat-Until-Success (RUS) framework for quantum circuit synthesis. We demonstrate how smooth computable functions $f$ can be synthesized from two basic primitives. This synthesis approach constitutes a manifestly quantum form of arithmetic that differs greatly from the approaches commonly used in quantum algorithms. The key advantage of our approach is that it requires far fewer qubits than existing approaches: as a case in point, we show that using as fe","authors_text":"Martin Roetteler, Nathan Wiebe","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-06-08T23:24:49Z","title":"Quantum arithmetic and numerical analysis using Repeat-Until-Success circuits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2040","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:aa3a9fc5fe566f6e9728a42593decbc44d2d594687e4aa3ab2a9964c0f371bc1","target":"record","created_at":"2026-05-18T01:23:38Z","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":"6b993df1aa76dc35112244f75def69dde7be123521c0d5a3a8b480639369fab6","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-06-08T23:24:49Z","title_canon_sha256":"6b0994b185fc271b3e6d4abd7e4522208c71ae976c402d9639f683dba28e6d5c"},"schema_version":"1.0","source":{"id":"1406.2040","kind":"arxiv","version":2}},"canonical_sha256":"a4c599d6872ab67962dcc33e59e423ba78ccfaef861c9394cae0daaf3f8b8828","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4c599d6872ab67962dcc33e59e423ba78ccfaef861c9394cae0daaf3f8b8828","first_computed_at":"2026-05-18T01:23:38.873725Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:38.873725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1ulsgyXBr52ItSKAMYAjOpxagjbTbRoyvgZNnXqyr/7pq61onWiWdWpU70w/HVurqn8WnEGyMvhcEpnfxpx5DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:38.874277Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.2040","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa3a9fc5fe566f6e9728a42593decbc44d2d594687e4aa3ab2a9964c0f371bc1","sha256:98d0bc3d6e89c991e9785463275c536b8945f9d13f1a8899a2f972950a46e7a2"],"state_sha256":"10014552f90d85b697e44a03a626b88090818b4d7159583d363828d257dc134f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M1ouy8hzm6i66++ZcNIyfQwr8k5Mn/FOLqRE9Wsi9iZ/TFXX4o4cJTQwLJqoLUm53mywFOu5SBYMAh6xOP/pDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T04:10:17.242136Z","bundle_sha256":"93fa8e85ac622af121779b546686d5b70d2733267c8b93456b28899dcdc67cd0"}}