{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:MREQRN35ABDBQNRFVHGTS2UGUG","short_pith_number":"pith:MREQRN35","canonical_record":{"source":{"id":"1805.02175","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2018-05-06T09:29:29Z","cross_cats_sorted":[],"title_canon_sha256":"bed83b694081b47b99dfe0690b30d8df708c2f17adf8f68d61147dd3f74ae253","abstract_canon_sha256":"84cb525918bae63784293a779fc6fcce4cd06b99248b38c718d6f1e77846f8fa"},"schema_version":"1.0"},"canonical_sha256":"644908b77d0046183625a9cd396a86a18d2ee2a1cd2fb4bd679c93bf48c01a0d","source":{"kind":"arxiv","id":"1805.02175","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.02175","created_at":"2026-05-17T23:55:20Z"},{"alias_kind":"arxiv_version","alias_value":"1805.02175v2","created_at":"2026-05-17T23:55:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.02175","created_at":"2026-05-17T23:55:20Z"},{"alias_kind":"pith_short_12","alias_value":"MREQRN35ABDB","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"MREQRN35ABDBQNRF","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"MREQRN35","created_at":"2026-05-18T12:32:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:MREQRN35ABDBQNRFVHGTS2UGUG","target":"record","payload":{"canonical_record":{"source":{"id":"1805.02175","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2018-05-06T09:29:29Z","cross_cats_sorted":[],"title_canon_sha256":"bed83b694081b47b99dfe0690b30d8df708c2f17adf8f68d61147dd3f74ae253","abstract_canon_sha256":"84cb525918bae63784293a779fc6fcce4cd06b99248b38c718d6f1e77846f8fa"},"schema_version":"1.0"},"canonical_sha256":"644908b77d0046183625a9cd396a86a18d2ee2a1cd2fb4bd679c93bf48c01a0d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:20.843783Z","signature_b64":"xDPcEXqA0zrfh0elWVRW5fsXy0l+CuS8Y8fHlvO/rEBuEug5L2v9LF5+XCxibLo3+SvcKzZpXlqTdBBugfESAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"644908b77d0046183625a9cd396a86a18d2ee2a1cd2fb4bd679c93bf48c01a0d","last_reissued_at":"2026-05-17T23:55:20.843424Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:20.843424Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.02175","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":"2026-05-17T23:55:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CHlDFWsr+asssgtrsm8YMbVdHDaMI7Nk9nm0JVhVx3mJ0itE2oRTjUsW9MNqpu/nMfTlPWmGbWgRDO8ionilCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T20:47:10.712195Z"},"content_sha256":"e6d91bda9e0c2999b020380133787cad753b1411bd5896bd14927efb1969b39d","schema_version":"1.0","event_id":"sha256:e6d91bda9e0c2999b020380133787cad753b1411bd5896bd14927efb1969b39d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:MREQRN35ABDBQNRFVHGTS2UGUG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"ZH: A Complete Graphical Calculus for Quantum Computations Involving Classical Non-linearity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Aleks Kissinger, Miriam Backens","submitted_at":"2018-05-06T09:29:29Z","abstract_excerpt":"We present a new graphical calculus that is sound and complete for a universal family of quantum circuits, which can be seen as the natural string-diagrammatic extension of the approximately (real-valued) universal family of Hadamard+CCZ circuits. The diagrammatic language is generated by two kinds of nodes: the so-called 'spider' associated with the computational basis, as well as a new arity-N generalisation of the Hadamard gate, which satisfies a variation of the spider fusion law. Unlike previous graphical calculi, this admits compact encodings of non-linear classical functions. For exampl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.02175","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":"2026-05-17T23:55:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UAATXNMQMN6zzE2IHxcKcHPmtG610HNSkWxhzL5uk0p5b0xegE7uBJfQ5pIsBKXQyvWPgC7H2gKx+9N/yZ3bBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T20:47:10.712550Z"},"content_sha256":"3365c373a4ab0bbf59b3d52a5e6b3211c5f9c960a0ea3e6faeb62c17f5ede99b","schema_version":"1.0","event_id":"sha256:3365c373a4ab0bbf59b3d52a5e6b3211c5f9c960a0ea3e6faeb62c17f5ede99b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MREQRN35ABDBQNRFVHGTS2UGUG/bundle.json","state_url":"https://pith.science/pith/MREQRN35ABDBQNRFVHGTS2UGUG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MREQRN35ABDBQNRFVHGTS2UGUG/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":"2026-06-02T20:47:10Z","links":{"resolver":"https://pith.science/pith/MREQRN35ABDBQNRFVHGTS2UGUG","bundle":"https://pith.science/pith/MREQRN35ABDBQNRFVHGTS2UGUG/bundle.json","state":"https://pith.science/pith/MREQRN35ABDBQNRFVHGTS2UGUG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MREQRN35ABDBQNRFVHGTS2UGUG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MREQRN35ABDBQNRFVHGTS2UGUG","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":"84cb525918bae63784293a779fc6fcce4cd06b99248b38c718d6f1e77846f8fa","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2018-05-06T09:29:29Z","title_canon_sha256":"bed83b694081b47b99dfe0690b30d8df708c2f17adf8f68d61147dd3f74ae253"},"schema_version":"1.0","source":{"id":"1805.02175","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.02175","created_at":"2026-05-17T23:55:20Z"},{"alias_kind":"arxiv_version","alias_value":"1805.02175v2","created_at":"2026-05-17T23:55:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.02175","created_at":"2026-05-17T23:55:20Z"},{"alias_kind":"pith_short_12","alias_value":"MREQRN35ABDB","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"MREQRN35ABDBQNRF","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"MREQRN35","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:3365c373a4ab0bbf59b3d52a5e6b3211c5f9c960a0ea3e6faeb62c17f5ede99b","target":"graph","created_at":"2026-05-17T23:55:20Z","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 present a new graphical calculus that is sound and complete for a universal family of quantum circuits, which can be seen as the natural string-diagrammatic extension of the approximately (real-valued) universal family of Hadamard+CCZ circuits. The diagrammatic language is generated by two kinds of nodes: the so-called 'spider' associated with the computational basis, as well as a new arity-N generalisation of the Hadamard gate, which satisfies a variation of the spider fusion law. Unlike previous graphical calculi, this admits compact encodings of non-linear classical functions. For exampl","authors_text":"Aleks Kissinger, Miriam Backens","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2018-05-06T09:29:29Z","title":"ZH: A Complete Graphical Calculus for Quantum Computations Involving Classical Non-linearity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.02175","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:e6d91bda9e0c2999b020380133787cad753b1411bd5896bd14927efb1969b39d","target":"record","created_at":"2026-05-17T23:55:20Z","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":"84cb525918bae63784293a779fc6fcce4cd06b99248b38c718d6f1e77846f8fa","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2018-05-06T09:29:29Z","title_canon_sha256":"bed83b694081b47b99dfe0690b30d8df708c2f17adf8f68d61147dd3f74ae253"},"schema_version":"1.0","source":{"id":"1805.02175","kind":"arxiv","version":2}},"canonical_sha256":"644908b77d0046183625a9cd396a86a18d2ee2a1cd2fb4bd679c93bf48c01a0d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"644908b77d0046183625a9cd396a86a18d2ee2a1cd2fb4bd679c93bf48c01a0d","first_computed_at":"2026-05-17T23:55:20.843424Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:20.843424Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xDPcEXqA0zrfh0elWVRW5fsXy0l+CuS8Y8fHlvO/rEBuEug5L2v9LF5+XCxibLo3+SvcKzZpXlqTdBBugfESAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:20.843783Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.02175","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e6d91bda9e0c2999b020380133787cad753b1411bd5896bd14927efb1969b39d","sha256:3365c373a4ab0bbf59b3d52a5e6b3211c5f9c960a0ea3e6faeb62c17f5ede99b"],"state_sha256":"ac7ce8926a8c74c2da17339244e8283bd17be565f8bf8c98ea84aa1a56675efa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4nU0ZRpMN+gzfRcgm62dZplljfwzuESWa1uXpjs9P4OsNw0U4AD+1P/g8O41IxfxfIu9frUwF1sOqg8fwK3qBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T20:47:10.714505Z","bundle_sha256":"a5230f26f32a21e51ece80287ace59b7d252e04064e843bf3df68d5931bf8949"}}