{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:7EHJPE4FB2UPYHMTNUD5UJIPFU","short_pith_number":"pith:7EHJPE4F","canonical_record":{"source":{"id":"2206.01644","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-06-03T15:42:04Z","cross_cats_sorted":["cs.AI","cs.CV"],"title_canon_sha256":"3aa8f6b3b48e9fe9e709bf9c81b380ac413f105f6f717d17a991b6633aee9a32","abstract_canon_sha256":"da30116dba1ef62fc79f342a1585cab1b1a5084449785971d93e392b915797eb"},"schema_version":"1.0"},"canonical_sha256":"f90e9793850ea8fc1d936d07da250f2d161e22b66f60d04bb2732f279403e297","source":{"kind":"arxiv","id":"2206.01644","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.01644","created_at":"2026-07-05T04:28:49Z"},{"alias_kind":"arxiv_version","alias_value":"2206.01644v1","created_at":"2026-07-05T04:28:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.01644","created_at":"2026-07-05T04:28:49Z"},{"alias_kind":"pith_short_12","alias_value":"7EHJPE4FB2UP","created_at":"2026-07-05T04:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"7EHJPE4FB2UPYHMT","created_at":"2026-07-05T04:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"7EHJPE4F","created_at":"2026-07-05T04:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:7EHJPE4FB2UPYHMTNUD5UJIPFU","target":"record","payload":{"canonical_record":{"source":{"id":"2206.01644","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-06-03T15:42:04Z","cross_cats_sorted":["cs.AI","cs.CV"],"title_canon_sha256":"3aa8f6b3b48e9fe9e709bf9c81b380ac413f105f6f717d17a991b6633aee9a32","abstract_canon_sha256":"da30116dba1ef62fc79f342a1585cab1b1a5084449785971d93e392b915797eb"},"schema_version":"1.0"},"canonical_sha256":"f90e9793850ea8fc1d936d07da250f2d161e22b66f60d04bb2732f279403e297","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:28:49.851166Z","signature_b64":"IK059C4fmCQAxgbrjl3yNeVt18xvawA9ymk+Xux5m57N9uMcRErLnnbZmMC94y76Tgwt2oau3nt3HxxPXkXECg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f90e9793850ea8fc1d936d07da250f2d161e22b66f60d04bb2732f279403e297","last_reissued_at":"2026-07-05T04:28:49.850667Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:28:49.850667Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2206.01644","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":"2026-07-05T04:28:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C8F5K/z4AkybihWTgofnQJzscnefB/57qX/9T+SM/+AQ+lsqUMPmHkGvvX5WLNiGP5ZU7sFRWxJ7BgaqDi0VDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T01:38:09.488363Z"},"content_sha256":"0e9ccc55a1bbdc2fd5dce8c7bdfe32bc05ad15d0ef0ec25b5cefa15bd9cb3fb7","schema_version":"1.0","event_id":"sha256:0e9ccc55a1bbdc2fd5dce8c7bdfe32bc05ad15d0ef0ec25b5cefa15bd9cb3fb7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:7EHJPE4FB2UPYHMTNUD5UJIPFU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mirror modular cloning and fast quantum associative retrieval","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI","cs.CV"],"primary_cat":"quant-ph","authors_text":"C. A. Trugenberger, M. C. Diamantini","submitted_at":"2022-06-03T15:42:04Z","abstract_excerpt":"We show that a quantum state can be perfectly cloned up to global mirroring with a unitary transformation that depends on one single parameter. We then show that this is equivalent to \"perfect\" cloning for quantum associative memories which, as a consequence efficiently hold exponentially more information than their classical counterparts. Finally, we present a quantum associative retrieval algorithm which can correct corrupted inputs and is exponentially faster than the Grover algorithm."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.01644","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2206.01644/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":"2026-07-05T04:28:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RpBH0BCzxG/Yls5cfCiS6KWEeKko6l5g6zZWavI8E0vT2oaVu/u5O6I08LvDzAB7NuSRJrCeosslKNa/U1mXAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T01:38:09.488864Z"},"content_sha256":"6eabaa1f621e4d29d4963b26b8e8a92f2796e7d2e60c917453db71b9a6f5746f","schema_version":"1.0","event_id":"sha256:6eabaa1f621e4d29d4963b26b8e8a92f2796e7d2e60c917453db71b9a6f5746f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7EHJPE4FB2UPYHMTNUD5UJIPFU/bundle.json","state_url":"https://pith.science/pith/7EHJPE4FB2UPYHMTNUD5UJIPFU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7EHJPE4FB2UPYHMTNUD5UJIPFU/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":"2026-08-10T01:38:09Z","links":{"resolver":"https://pith.science/pith/7EHJPE4FB2UPYHMTNUD5UJIPFU","bundle":"https://pith.science/pith/7EHJPE4FB2UPYHMTNUD5UJIPFU/bundle.json","state":"https://pith.science/pith/7EHJPE4FB2UPYHMTNUD5UJIPFU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7EHJPE4FB2UPYHMTNUD5UJIPFU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:7EHJPE4FB2UPYHMTNUD5UJIPFU","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":"da30116dba1ef62fc79f342a1585cab1b1a5084449785971d93e392b915797eb","cross_cats_sorted":["cs.AI","cs.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-06-03T15:42:04Z","title_canon_sha256":"3aa8f6b3b48e9fe9e709bf9c81b380ac413f105f6f717d17a991b6633aee9a32"},"schema_version":"1.0","source":{"id":"2206.01644","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.01644","created_at":"2026-07-05T04:28:49Z"},{"alias_kind":"arxiv_version","alias_value":"2206.01644v1","created_at":"2026-07-05T04:28:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.01644","created_at":"2026-07-05T04:28:49Z"},{"alias_kind":"pith_short_12","alias_value":"7EHJPE4FB2UP","created_at":"2026-07-05T04:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"7EHJPE4FB2UPYHMT","created_at":"2026-07-05T04:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"7EHJPE4F","created_at":"2026-07-05T04:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:6eabaa1f621e4d29d4963b26b8e8a92f2796e7d2e60c917453db71b9a6f5746f","target":"graph","created_at":"2026-07-05T04:28:49Z","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/2206.01644/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that a quantum state can be perfectly cloned up to global mirroring with a unitary transformation that depends on one single parameter. We then show that this is equivalent to \"perfect\" cloning for quantum associative memories which, as a consequence efficiently hold exponentially more information than their classical counterparts. Finally, we present a quantum associative retrieval algorithm which can correct corrupted inputs and is exponentially faster than the Grover algorithm.","authors_text":"C. A. Trugenberger, M. C. Diamantini","cross_cats":["cs.AI","cs.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-06-03T15:42:04Z","title":"Mirror modular cloning and fast quantum associative retrieval"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.01644","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":"sha256:0e9ccc55a1bbdc2fd5dce8c7bdfe32bc05ad15d0ef0ec25b5cefa15bd9cb3fb7","target":"record","created_at":"2026-07-05T04:28:49Z","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":"da30116dba1ef62fc79f342a1585cab1b1a5084449785971d93e392b915797eb","cross_cats_sorted":["cs.AI","cs.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-06-03T15:42:04Z","title_canon_sha256":"3aa8f6b3b48e9fe9e709bf9c81b380ac413f105f6f717d17a991b6633aee9a32"},"schema_version":"1.0","source":{"id":"2206.01644","kind":"arxiv","version":1}},"canonical_sha256":"f90e9793850ea8fc1d936d07da250f2d161e22b66f60d04bb2732f279403e297","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f90e9793850ea8fc1d936d07da250f2d161e22b66f60d04bb2732f279403e297","first_computed_at":"2026-07-05T04:28:49.850667Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:28:49.850667Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IK059C4fmCQAxgbrjl3yNeVt18xvawA9ymk+Xux5m57N9uMcRErLnnbZmMC94y76Tgwt2oau3nt3HxxPXkXECg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:28:49.851166Z","signed_message":"canonical_sha256_bytes"},"source_id":"2206.01644","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e9ccc55a1bbdc2fd5dce8c7bdfe32bc05ad15d0ef0ec25b5cefa15bd9cb3fb7","sha256:6eabaa1f621e4d29d4963b26b8e8a92f2796e7d2e60c917453db71b9a6f5746f"],"state_sha256":"234d50b87f04a9962c4daca6826e3c11953d7dccb6504a73817bab1c7e4e1a12"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7FfIRHgOrIq8vlGqzZEBfiMPhdtFkRU+RQc5aTf8D3dfEpW7HL3lxo4yDjW5vguQWNBb1MSXGNxHPreI2AIXBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T01:38:09.493703Z","bundle_sha256":"cc93371ac74339be7fdca5e2cce3589c6a3e5d1009b2b1e599ac95ffa37950d7"}}