{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:J2ARDFI7RGEOQWHMRD24TPM3MT","short_pith_number":"pith:J2ARDFI7","canonical_record":{"source":{"id":"2012.04447","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2020-12-08T14:33:04Z","cross_cats_sorted":["cs.ET"],"title_canon_sha256":"54fe917bb97cda178b2741e31c3cb9d22e3db95e2b5d8e4fac695e5ab4bb68a6","abstract_canon_sha256":"d45eb4d1aa6e28544e69ad5fd0412792b1087ca67c77d343dd8195e86f5473e5"},"schema_version":"1.0"},"canonical_sha256":"4e8111951f8988e858ec88f5c9bd9b64cb798f8b977752b6f1bd04ad8818ccaa","source":{"kind":"arxiv","id":"2012.04447","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.04447","created_at":"2026-07-05T04:50:48Z"},{"alias_kind":"arxiv_version","alias_value":"2012.04447v3","created_at":"2026-07-05T04:50:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.04447","created_at":"2026-07-05T04:50:48Z"},{"alias_kind":"pith_short_12","alias_value":"J2ARDFI7RGEO","created_at":"2026-07-05T04:50:48Z"},{"alias_kind":"pith_short_16","alias_value":"J2ARDFI7RGEOQWHM","created_at":"2026-07-05T04:50:48Z"},{"alias_kind":"pith_short_8","alias_value":"J2ARDFI7","created_at":"2026-07-05T04:50:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:J2ARDFI7RGEOQWHMRD24TPM3MT","target":"record","payload":{"canonical_record":{"source":{"id":"2012.04447","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2020-12-08T14:33:04Z","cross_cats_sorted":["cs.ET"],"title_canon_sha256":"54fe917bb97cda178b2741e31c3cb9d22e3db95e2b5d8e4fac695e5ab4bb68a6","abstract_canon_sha256":"d45eb4d1aa6e28544e69ad5fd0412792b1087ca67c77d343dd8195e86f5473e5"},"schema_version":"1.0"},"canonical_sha256":"4e8111951f8988e858ec88f5c9bd9b64cb798f8b977752b6f1bd04ad8818ccaa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:50:48.684682Z","signature_b64":"3Rdd2Xp03/GcXXceAfwgl551qT4EhX1U18v1F9QHrGz+baElIQuSD3Cu3N1y5EEeiQUdNLlQQBNFbba50sj3Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e8111951f8988e858ec88f5c9bd9b64cb798f8b977752b6f1bd04ad8818ccaa","last_reissued_at":"2026-07-05T04:50:48.684277Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:50:48.684277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2012.04447","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:50:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aKogvE+Un547sTbPH/f/AxP7kUL5pnKD7V84vY8caury3Ii5hqfwYAjZ1RRcSAY4X94irQkwZr6Bx00g6KUhCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T20:09:54.916758Z"},"content_sha256":"b06b38b9ce584670b5074049df936fe1267222a3b3b7276f7cccc18b0e9a2273","schema_version":"1.0","event_id":"sha256:b06b38b9ce584670b5074049df936fe1267222a3b3b7276f7cccc18b0e9a2273"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:J2ARDFI7RGEOQWHMRD24TPM3MT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asymptotically Improved Circuit for $d$-ary Grover's Algorithm with Advanced Decomposition of $n$-qudit Toffoli Gate","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.ET"],"primary_cat":"quant-ph","authors_text":"Amit Saha, Amlan Chakrabarti, Debasri Saha, Ritajit Majumdar, Susmita Sur-Kolay","submitted_at":"2020-12-08T14:33:04Z","abstract_excerpt":"The progress in building quantum computers to execute quantum algorithms has recently been remarkable. Grover's search algorithm in a binary quantum system provides considerable speed-up over classical paradigm. Further, Grover's algorithm can be extended to a $d$-ary (qudit) quantum system for utilizing the advantage of larger state space, which helps to reduce the run-time of the algorithm as compared to the traditional binary quantum systems. In a qudit quantum system, an $n$-qudit Toffoli gate plays a significant role in the accurate implementation of Grover's algorithm. In this article, a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.04447","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2012.04447/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T04:50:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Jo9h9OiteAGqg0tty2XJPpLbF+dvzaAMLSMZqtPTEPHLppDqHLqjbhtljHqNJTGh04jS10vgAP33HwYkKBAjAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T20:09:54.917249Z"},"content_sha256":"ddecdf8881d49ea739952701ba81fe64b43947f1883c5cafba8c4df2bac6275b","schema_version":"1.0","event_id":"sha256:ddecdf8881d49ea739952701ba81fe64b43947f1883c5cafba8c4df2bac6275b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J2ARDFI7RGEOQWHMRD24TPM3MT/bundle.json","state_url":"https://pith.science/pith/J2ARDFI7RGEOQWHMRD24TPM3MT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J2ARDFI7RGEOQWHMRD24TPM3MT/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":"2026-08-09T20:09:54Z","links":{"resolver":"https://pith.science/pith/J2ARDFI7RGEOQWHMRD24TPM3MT","bundle":"https://pith.science/pith/J2ARDFI7RGEOQWHMRD24TPM3MT/bundle.json","state":"https://pith.science/pith/J2ARDFI7RGEOQWHMRD24TPM3MT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J2ARDFI7RGEOQWHMRD24TPM3MT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:J2ARDFI7RGEOQWHMRD24TPM3MT","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":"d45eb4d1aa6e28544e69ad5fd0412792b1087ca67c77d343dd8195e86f5473e5","cross_cats_sorted":["cs.ET"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2020-12-08T14:33:04Z","title_canon_sha256":"54fe917bb97cda178b2741e31c3cb9d22e3db95e2b5d8e4fac695e5ab4bb68a6"},"schema_version":"1.0","source":{"id":"2012.04447","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.04447","created_at":"2026-07-05T04:50:48Z"},{"alias_kind":"arxiv_version","alias_value":"2012.04447v3","created_at":"2026-07-05T04:50:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.04447","created_at":"2026-07-05T04:50:48Z"},{"alias_kind":"pith_short_12","alias_value":"J2ARDFI7RGEO","created_at":"2026-07-05T04:50:48Z"},{"alias_kind":"pith_short_16","alias_value":"J2ARDFI7RGEOQWHM","created_at":"2026-07-05T04:50:48Z"},{"alias_kind":"pith_short_8","alias_value":"J2ARDFI7","created_at":"2026-07-05T04:50:48Z"}],"graph_snapshots":[{"event_id":"sha256:ddecdf8881d49ea739952701ba81fe64b43947f1883c5cafba8c4df2bac6275b","target":"graph","created_at":"2026-07-05T04:50:48Z","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/2012.04447/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The progress in building quantum computers to execute quantum algorithms has recently been remarkable. Grover's search algorithm in a binary quantum system provides considerable speed-up over classical paradigm. Further, Grover's algorithm can be extended to a $d$-ary (qudit) quantum system for utilizing the advantage of larger state space, which helps to reduce the run-time of the algorithm as compared to the traditional binary quantum systems. In a qudit quantum system, an $n$-qudit Toffoli gate plays a significant role in the accurate implementation of Grover's algorithm. In this article, a","authors_text":"Amit Saha, Amlan Chakrabarti, Debasri Saha, Ritajit Majumdar, Susmita Sur-Kolay","cross_cats":["cs.ET"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2020-12-08T14:33:04Z","title":"Asymptotically Improved Circuit for $d$-ary Grover's Algorithm with Advanced Decomposition of $n$-qudit Toffoli Gate"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.04447","kind":"arxiv","version":3},"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:b06b38b9ce584670b5074049df936fe1267222a3b3b7276f7cccc18b0e9a2273","target":"record","created_at":"2026-07-05T04:50:48Z","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":"d45eb4d1aa6e28544e69ad5fd0412792b1087ca67c77d343dd8195e86f5473e5","cross_cats_sorted":["cs.ET"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2020-12-08T14:33:04Z","title_canon_sha256":"54fe917bb97cda178b2741e31c3cb9d22e3db95e2b5d8e4fac695e5ab4bb68a6"},"schema_version":"1.0","source":{"id":"2012.04447","kind":"arxiv","version":3}},"canonical_sha256":"4e8111951f8988e858ec88f5c9bd9b64cb798f8b977752b6f1bd04ad8818ccaa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e8111951f8988e858ec88f5c9bd9b64cb798f8b977752b6f1bd04ad8818ccaa","first_computed_at":"2026-07-05T04:50:48.684277Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:50:48.684277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3Rdd2Xp03/GcXXceAfwgl551qT4EhX1U18v1F9QHrGz+baElIQuSD3Cu3N1y5EEeiQUdNLlQQBNFbba50sj3Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:50:48.684682Z","signed_message":"canonical_sha256_bytes"},"source_id":"2012.04447","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b06b38b9ce584670b5074049df936fe1267222a3b3b7276f7cccc18b0e9a2273","sha256:ddecdf8881d49ea739952701ba81fe64b43947f1883c5cafba8c4df2bac6275b"],"state_sha256":"3534e0b7d44361ff92f362d2b77866f6b9b9d2a0710085cd6a1117488ee4f031"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WZ1ACcT47YWslPCNOGDDDZ6gG0/aiMKa9hy5rZEqgMs38OnmtiTO9qDTE/r43BxXSzm49Pfd8YRYFAlnSH/nDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T20:09:54.921547Z","bundle_sha256":"0c14734387b851ad2877dae928479bcc30477ccdc9d9803b44998e2be4272f65"}}