{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:5MGX4UYBW26JMCOXFCM5FGVT46","short_pith_number":"pith:5MGX4UYB","canonical_record":{"source":{"id":"1308.2493","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-08-12T08:32:12Z","cross_cats_sorted":["cs.ET"],"title_canon_sha256":"fc96247c1b6820469ad64b82027150f06f1ba76b36275c0eeb0f24cf02aba303","abstract_canon_sha256":"fc7015b29523e2977d496495e3ed4d008ab559ef5956dbd697aad57627626130"},"schema_version":"1.0"},"canonical_sha256":"eb0d7e5301b6bc9609d72899d29ab3e7825c32e972bdeca7c369e23691b31720","source":{"kind":"arxiv","id":"1308.2493","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.2493","created_at":"2026-05-18T03:08:36Z"},{"alias_kind":"arxiv_version","alias_value":"1308.2493v1","created_at":"2026-05-18T03:08:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.2493","created_at":"2026-05-18T03:08:36Z"},{"alias_kind":"pith_short_12","alias_value":"5MGX4UYBW26J","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5MGX4UYBW26JMCOX","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5MGX4UYB","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:5MGX4UYBW26JMCOXFCM5FGVT46","target":"record","payload":{"canonical_record":{"source":{"id":"1308.2493","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-08-12T08:32:12Z","cross_cats_sorted":["cs.ET"],"title_canon_sha256":"fc96247c1b6820469ad64b82027150f06f1ba76b36275c0eeb0f24cf02aba303","abstract_canon_sha256":"fc7015b29523e2977d496495e3ed4d008ab559ef5956dbd697aad57627626130"},"schema_version":"1.0"},"canonical_sha256":"eb0d7e5301b6bc9609d72899d29ab3e7825c32e972bdeca7c369e23691b31720","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:36.250063Z","signature_b64":"ri+JFOG4WxYApr+Ra5w1hnHVwrUlI/AxVM6umRx+1IB7bm1/Eh0/AyKRVekHMdN8oPuwPfA3PO3OIQ2Hy/5+CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb0d7e5301b6bc9609d72899d29ab3e7825c32e972bdeca7c369e23691b31720","last_reissued_at":"2026-05-18T03:08:36.249524Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:36.249524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.2493","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:08:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FLGKfcnhjnmqiuShWz7S/0pI85FlFJACSHN2iixDyCyngu2IlybDeJfVVEtImIPrjZDE2yMnh0HhCgk6bU3EDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T00:13:05.209371Z"},"content_sha256":"9b20afd456b01ae27af3630f24f48cf3341568cb680276194f68ec50e67aa421","schema_version":"1.0","event_id":"sha256:9b20afd456b01ae27af3630f24f48cf3341568cb680276194f68ec50e67aa421"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:5MGX4UYBW26JMCOXFCM5FGVT46","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On quantum circuits employing roots of the Pauli matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.ET"],"primary_cat":"quant-ph","authors_text":"D. Michael Miller, Mathias Soeken, Rolf Drechsler","submitted_at":"2013-08-12T08:32:12Z","abstract_excerpt":"The Pauli matrices are a set of three 2x2 complex Hermitian, unitary matrices. In this article, we investigate the relationships between certain roots of the Pauli matrices and how gates implementing those roots are used in quantum circuits. Techniques for simplifying such circuits are given. In particular, we show how those techniques can be used to find a circuit of Clifford+T gates starting from a circuit composed of gates from the well studied NCV library."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.2493","kind":"arxiv","version":1},"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":"2026-05-18T03:08:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S7Lyn9fXyDMzoQRUNGxRl2IlAC/pTxPaWFmb6AnPcdfMslRUT6FDskr2QREqJLSgxKKAL6h6HbOjlPp4I6Q/CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T00:13:05.210016Z"},"content_sha256":"a3370a95037cc47353f9a705c5266fa36164397bcbade32cb44137313cb6a3b1","schema_version":"1.0","event_id":"sha256:a3370a95037cc47353f9a705c5266fa36164397bcbade32cb44137313cb6a3b1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5MGX4UYBW26JMCOXFCM5FGVT46/bundle.json","state_url":"https://pith.science/pith/5MGX4UYBW26JMCOXFCM5FGVT46/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5MGX4UYBW26JMCOXFCM5FGVT46/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":"2026-06-12T00:13:05Z","links":{"resolver":"https://pith.science/pith/5MGX4UYBW26JMCOXFCM5FGVT46","bundle":"https://pith.science/pith/5MGX4UYBW26JMCOXFCM5FGVT46/bundle.json","state":"https://pith.science/pith/5MGX4UYBW26JMCOXFCM5FGVT46/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5MGX4UYBW26JMCOXFCM5FGVT46/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5MGX4UYBW26JMCOXFCM5FGVT46","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":"fc7015b29523e2977d496495e3ed4d008ab559ef5956dbd697aad57627626130","cross_cats_sorted":["cs.ET"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-08-12T08:32:12Z","title_canon_sha256":"fc96247c1b6820469ad64b82027150f06f1ba76b36275c0eeb0f24cf02aba303"},"schema_version":"1.0","source":{"id":"1308.2493","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.2493","created_at":"2026-05-18T03:08:36Z"},{"alias_kind":"arxiv_version","alias_value":"1308.2493v1","created_at":"2026-05-18T03:08:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.2493","created_at":"2026-05-18T03:08:36Z"},{"alias_kind":"pith_short_12","alias_value":"5MGX4UYBW26J","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5MGX4UYBW26JMCOX","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5MGX4UYB","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:a3370a95037cc47353f9a705c5266fa36164397bcbade32cb44137313cb6a3b1","target":"graph","created_at":"2026-05-18T03:08:36Z","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":"The Pauli matrices are a set of three 2x2 complex Hermitian, unitary matrices. In this article, we investigate the relationships between certain roots of the Pauli matrices and how gates implementing those roots are used in quantum circuits. Techniques for simplifying such circuits are given. In particular, we show how those techniques can be used to find a circuit of Clifford+T gates starting from a circuit composed of gates from the well studied NCV library.","authors_text":"D. Michael Miller, Mathias Soeken, Rolf Drechsler","cross_cats":["cs.ET"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-08-12T08:32:12Z","title":"On quantum circuits employing roots of the Pauli matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.2493","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":"sha256:9b20afd456b01ae27af3630f24f48cf3341568cb680276194f68ec50e67aa421","target":"record","created_at":"2026-05-18T03:08:36Z","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":"fc7015b29523e2977d496495e3ed4d008ab559ef5956dbd697aad57627626130","cross_cats_sorted":["cs.ET"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-08-12T08:32:12Z","title_canon_sha256":"fc96247c1b6820469ad64b82027150f06f1ba76b36275c0eeb0f24cf02aba303"},"schema_version":"1.0","source":{"id":"1308.2493","kind":"arxiv","version":1}},"canonical_sha256":"eb0d7e5301b6bc9609d72899d29ab3e7825c32e972bdeca7c369e23691b31720","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb0d7e5301b6bc9609d72899d29ab3e7825c32e972bdeca7c369e23691b31720","first_computed_at":"2026-05-18T03:08:36.249524Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:36.249524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ri+JFOG4WxYApr+Ra5w1hnHVwrUlI/AxVM6umRx+1IB7bm1/Eh0/AyKRVekHMdN8oPuwPfA3PO3OIQ2Hy/5+CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:36.250063Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.2493","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b20afd456b01ae27af3630f24f48cf3341568cb680276194f68ec50e67aa421","sha256:a3370a95037cc47353f9a705c5266fa36164397bcbade32cb44137313cb6a3b1"],"state_sha256":"33137d936768dc47545aac98d4922fca17e7c376e001ea262791b54a6a89dad6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yK7LHvTqdCGhvhW8BEFOy95jRjLNnLJU93CiNkeUHD6Kj8d3d4ErU3puYthmJbwHMs5+UnBu+xQKpdBzZp2JBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T00:13:05.213661Z","bundle_sha256":"dbf1867b1a2ddad8940abbcf6b7978b2afb9f076956208d13efd96c75c50915e"}}