{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:QJFVDCC5LLMWF2J3LD5KDS6KAM","short_pith_number":"pith:QJFVDCC5","canonical_record":{"source":{"id":"1105.5831","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-05-29T21:43:27Z","cross_cats_sorted":["cs.ET"],"title_canon_sha256":"d949733e935a7f15329184d679b23120a90c9118ba3861bf28fbc0fd472b652d","abstract_canon_sha256":"72679f895dc1acc27604317330b08c114e645964e3046a9f0a910b5064214387"},"schema_version":"1.0"},"canonical_sha256":"824b51885d5ad962e93b58faa1cbca03386923c274cbc8e8ec381087d51ef371","source":{"kind":"arxiv","id":"1105.5831","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.5831","created_at":"2026-05-18T04:10:35Z"},{"alias_kind":"arxiv_version","alias_value":"1105.5831v2","created_at":"2026-05-18T04:10:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.5831","created_at":"2026-05-18T04:10:35Z"},{"alias_kind":"pith_short_12","alias_value":"QJFVDCC5LLMW","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QJFVDCC5LLMWF2J3","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QJFVDCC5","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:QJFVDCC5LLMWF2J3LD5KDS6KAM","target":"record","payload":{"canonical_record":{"source":{"id":"1105.5831","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-05-29T21:43:27Z","cross_cats_sorted":["cs.ET"],"title_canon_sha256":"d949733e935a7f15329184d679b23120a90c9118ba3861bf28fbc0fd472b652d","abstract_canon_sha256":"72679f895dc1acc27604317330b08c114e645964e3046a9f0a910b5064214387"},"schema_version":"1.0"},"canonical_sha256":"824b51885d5ad962e93b58faa1cbca03386923c274cbc8e8ec381087d51ef371","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:10:35.814266Z","signature_b64":"lgsh+RwaqGKMi6PiMgTidLe4QWW/ICqL+hDvBSRNwO1UtKfSodsCFL4dQv0OBxh+WVEP8Z5FDH69NLHZUF+wCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"824b51885d5ad962e93b58faa1cbca03386923c274cbc8e8ec381087d51ef371","last_reissued_at":"2026-05-18T04:10:35.813630Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:10:35.813630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.5831","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":"2026-05-18T04:10:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tOlKYWBbHOHZrmG5BXBpyQb9pVScvQAYh6yAxEgCX3MmH77AKBbnpzVVFqJOzJ4bThigKZnXRd5cpp66u2LZCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T09:47:27.821593Z"},"content_sha256":"9c54becacb9f38421c181a21a7c8f3a8ba2495bb2f57a43cf69d59e6993c5792","schema_version":"1.0","event_id":"sha256:9c54becacb9f38421c181a21a7c8f3a8ba2495bb2f57a43cf69d59e6993c5792"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:QJFVDCC5LLMWF2J3LD5KDS6KAM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reducing Quantum Cost in Reversible Toffoli Circuits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.ET"],"primary_cat":"quant-ph","authors_text":"Marek Szyprowski, Pawel Kerntopf","submitted_at":"2011-05-29T21:43:27Z","abstract_excerpt":"Recently, reversible circuit synthesis has been intensively studied. One of the problems that has not been solved for a long time was exact minimization of gate count (GC) in 4-bit circuits. Finally, last year a tool of practical usage for finding optimal gate count Toffoli networks for any 4-variable function was developed. However, not much work has been done yet on exact minimization of quantum cost (QC) in 4-bit circuits. This paper presents an application of the above mentioned tool to reducing QC of 4-bit reversible circuits. It is shown that for benchmarks and for designs taken from rec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.5831","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":"2026-05-18T04:10:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O7hPc5GvY7f//c8n48IiWBif+OKM+jrmZY/41K0P/kCWfFkEYzE4uFH12Mpi+yHYOOwl0EEMyRbuoho5XvGQAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T09:47:27.821944Z"},"content_sha256":"8a666cb67a4bee9a062d576e178b79c63c70cd555d50fdf5b3be7f9e6da6f67a","schema_version":"1.0","event_id":"sha256:8a666cb67a4bee9a062d576e178b79c63c70cd555d50fdf5b3be7f9e6da6f67a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QJFVDCC5LLMWF2J3LD5KDS6KAM/bundle.json","state_url":"https://pith.science/pith/QJFVDCC5LLMWF2J3LD5KDS6KAM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QJFVDCC5LLMWF2J3LD5KDS6KAM/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":"2026-06-30T09:47:27Z","links":{"resolver":"https://pith.science/pith/QJFVDCC5LLMWF2J3LD5KDS6KAM","bundle":"https://pith.science/pith/QJFVDCC5LLMWF2J3LD5KDS6KAM/bundle.json","state":"https://pith.science/pith/QJFVDCC5LLMWF2J3LD5KDS6KAM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QJFVDCC5LLMWF2J3LD5KDS6KAM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:QJFVDCC5LLMWF2J3LD5KDS6KAM","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":"72679f895dc1acc27604317330b08c114e645964e3046a9f0a910b5064214387","cross_cats_sorted":["cs.ET"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-05-29T21:43:27Z","title_canon_sha256":"d949733e935a7f15329184d679b23120a90c9118ba3861bf28fbc0fd472b652d"},"schema_version":"1.0","source":{"id":"1105.5831","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.5831","created_at":"2026-05-18T04:10:35Z"},{"alias_kind":"arxiv_version","alias_value":"1105.5831v2","created_at":"2026-05-18T04:10:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.5831","created_at":"2026-05-18T04:10:35Z"},{"alias_kind":"pith_short_12","alias_value":"QJFVDCC5LLMW","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QJFVDCC5LLMWF2J3","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QJFVDCC5","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:8a666cb67a4bee9a062d576e178b79c63c70cd555d50fdf5b3be7f9e6da6f67a","target":"graph","created_at":"2026-05-18T04:10:35Z","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":"Recently, reversible circuit synthesis has been intensively studied. One of the problems that has not been solved for a long time was exact minimization of gate count (GC) in 4-bit circuits. Finally, last year a tool of practical usage for finding optimal gate count Toffoli networks for any 4-variable function was developed. However, not much work has been done yet on exact minimization of quantum cost (QC) in 4-bit circuits. This paper presents an application of the above mentioned tool to reducing QC of 4-bit reversible circuits. It is shown that for benchmarks and for designs taken from rec","authors_text":"Marek Szyprowski, Pawel Kerntopf","cross_cats":["cs.ET"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-05-29T21:43:27Z","title":"Reducing Quantum Cost in Reversible Toffoli Circuits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.5831","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":"sha256:9c54becacb9f38421c181a21a7c8f3a8ba2495bb2f57a43cf69d59e6993c5792","target":"record","created_at":"2026-05-18T04:10:35Z","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":"72679f895dc1acc27604317330b08c114e645964e3046a9f0a910b5064214387","cross_cats_sorted":["cs.ET"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-05-29T21:43:27Z","title_canon_sha256":"d949733e935a7f15329184d679b23120a90c9118ba3861bf28fbc0fd472b652d"},"schema_version":"1.0","source":{"id":"1105.5831","kind":"arxiv","version":2}},"canonical_sha256":"824b51885d5ad962e93b58faa1cbca03386923c274cbc8e8ec381087d51ef371","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"824b51885d5ad962e93b58faa1cbca03386923c274cbc8e8ec381087d51ef371","first_computed_at":"2026-05-18T04:10:35.813630Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:35.813630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lgsh+RwaqGKMi6PiMgTidLe4QWW/ICqL+hDvBSRNwO1UtKfSodsCFL4dQv0OBxh+WVEP8Z5FDH69NLHZUF+wCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:35.814266Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.5831","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c54becacb9f38421c181a21a7c8f3a8ba2495bb2f57a43cf69d59e6993c5792","sha256:8a666cb67a4bee9a062d576e178b79c63c70cd555d50fdf5b3be7f9e6da6f67a"],"state_sha256":"5160719656092c0100209f6ec723e85c872983be69f0ff667f4fb56e10785364"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4utHuFxoX84iMTPP+4qOlb2dTx2O8nJY5k4IME0IumAuC+x89orTFireNSXuO+7fkUY0meImnzedVrSlcrpqAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T09:47:27.823820Z","bundle_sha256":"f6002acab91d7515100df5a8d1c6d3a567d4a181b8ae32c39d4abcf7b4faa763"}}