{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:6KNLCZXYEEAANAD4HQ6RBK35YD","short_pith_number":"pith:6KNLCZXY","canonical_record":{"source":{"id":"1906.06374","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-06-14T19:17:28Z","cross_cats_sorted":[],"title_canon_sha256":"7dabf6e211c203a639b51b97c16c3320aefc14bceb617f5ca70cae5b743517ed","abstract_canon_sha256":"f1e346991d52c6f213c33c4156e2f41f62d0af682fbbe271b5a59b62f08855c9"},"schema_version":"1.0"},"canonical_sha256":"f29ab166f8210006807c3c3d10ab7dc0d50976fcc323701075b6b91ffe596657","source":{"kind":"arxiv","id":"1906.06374","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.06374","created_at":"2026-05-17T23:43:13Z"},{"alias_kind":"arxiv_version","alias_value":"1906.06374v1","created_at":"2026-05-17T23:43:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.06374","created_at":"2026-05-17T23:43:13Z"},{"alias_kind":"pith_short_12","alias_value":"6KNLCZXYEEAA","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"6KNLCZXYEEAANAD4","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"6KNLCZXY","created_at":"2026-05-18T12:33:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:6KNLCZXYEEAANAD4HQ6RBK35YD","target":"record","payload":{"canonical_record":{"source":{"id":"1906.06374","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-06-14T19:17:28Z","cross_cats_sorted":[],"title_canon_sha256":"7dabf6e211c203a639b51b97c16c3320aefc14bceb617f5ca70cae5b743517ed","abstract_canon_sha256":"f1e346991d52c6f213c33c4156e2f41f62d0af682fbbe271b5a59b62f08855c9"},"schema_version":"1.0"},"canonical_sha256":"f29ab166f8210006807c3c3d10ab7dc0d50976fcc323701075b6b91ffe596657","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:13.910265Z","signature_b64":"HIoMknlZjAFbrSFQsH0zf7nbY7PuAomjM0Pp8Qqs8OCcpxr2gLKq6TZrbs3eFrkhYdbZEzpk7E55YB3aZ4BdAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f29ab166f8210006807c3c3d10ab7dc0d50976fcc323701075b6b91ffe596657","last_reissued_at":"2026-05-17T23:43:13.909816Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:13.909816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1906.06374","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":"2026-05-17T23:43:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5jVTyi5Xwr5rrLmbSR2b1HPegdinI2kbyzzrI8DtvTsHpmZG4PIlTDR93pAUxJ4+YgjHFShs9/yMdcBNSN8xBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T06:22:59.089341Z"},"content_sha256":"1e27490c066810ac1c88aebc52d86b492d5e9805b0dd6c9b11414834066ca9ba","schema_version":"1.0","event_id":"sha256:1e27490c066810ac1c88aebc52d86b492d5e9805b0dd6c9b11414834066ca9ba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:6KNLCZXYEEAANAD4HQ6RBK35YD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Representation of Boolean functions in terms of quantum computation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"D.V. Fastovets, N.A. Bogdanova, V.F. Lukichev, Yu.I. Bogdanov","submitted_at":"2019-06-14T19:17:28Z","abstract_excerpt":"The relationship between quantum physics and discrete mathematics is reviewed in this article. The Boolean functions unitary representation is considered. The relationship between Zhegalkin polynomial, which defines the algebraic normal form of Boolean function, and quantum logic circuits is described. It is shown that quantum information approach provides simple algorithm to construct Zhegalkin polynomial using truth table. Developed methods and algorithms have arbitrary Boolean function generalization with multibit input and multibit output. Such generalization allows us to use many-valued l"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.06374","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":"2026-05-17T23:43:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/qFDgcCaylqRrJbFKQOBOkVHXEbqzZhOyNlcnpDlXDC0lHJX1HaT0E1W5wLqKJpQdF9g7qrvJIqTbY8+EZ7bDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T06:22:59.089998Z"},"content_sha256":"74ca7e892b086bc07b857820aa98a14d2c6f28f1db8847e4da66a7f77bea1ed9","schema_version":"1.0","event_id":"sha256:74ca7e892b086bc07b857820aa98a14d2c6f28f1db8847e4da66a7f77bea1ed9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6KNLCZXYEEAANAD4HQ6RBK35YD/bundle.json","state_url":"https://pith.science/pith/6KNLCZXYEEAANAD4HQ6RBK35YD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6KNLCZXYEEAANAD4HQ6RBK35YD/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":"2026-06-06T06:22:59Z","links":{"resolver":"https://pith.science/pith/6KNLCZXYEEAANAD4HQ6RBK35YD","bundle":"https://pith.science/pith/6KNLCZXYEEAANAD4HQ6RBK35YD/bundle.json","state":"https://pith.science/pith/6KNLCZXYEEAANAD4HQ6RBK35YD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6KNLCZXYEEAANAD4HQ6RBK35YD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:6KNLCZXYEEAANAD4HQ6RBK35YD","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":"f1e346991d52c6f213c33c4156e2f41f62d0af682fbbe271b5a59b62f08855c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-06-14T19:17:28Z","title_canon_sha256":"7dabf6e211c203a639b51b97c16c3320aefc14bceb617f5ca70cae5b743517ed"},"schema_version":"1.0","source":{"id":"1906.06374","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.06374","created_at":"2026-05-17T23:43:13Z"},{"alias_kind":"arxiv_version","alias_value":"1906.06374v1","created_at":"2026-05-17T23:43:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.06374","created_at":"2026-05-17T23:43:13Z"},{"alias_kind":"pith_short_12","alias_value":"6KNLCZXYEEAA","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"6KNLCZXYEEAANAD4","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"6KNLCZXY","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:74ca7e892b086bc07b857820aa98a14d2c6f28f1db8847e4da66a7f77bea1ed9","target":"graph","created_at":"2026-05-17T23:43:13Z","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 relationship between quantum physics and discrete mathematics is reviewed in this article. The Boolean functions unitary representation is considered. The relationship between Zhegalkin polynomial, which defines the algebraic normal form of Boolean function, and quantum logic circuits is described. It is shown that quantum information approach provides simple algorithm to construct Zhegalkin polynomial using truth table. Developed methods and algorithms have arbitrary Boolean function generalization with multibit input and multibit output. Such generalization allows us to use many-valued l","authors_text":"D.V. Fastovets, N.A. Bogdanova, V.F. Lukichev, Yu.I. Bogdanov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-06-14T19:17:28Z","title":"Representation of Boolean functions in terms of quantum computation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.06374","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":"sha256:1e27490c066810ac1c88aebc52d86b492d5e9805b0dd6c9b11414834066ca9ba","target":"record","created_at":"2026-05-17T23:43:13Z","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":"f1e346991d52c6f213c33c4156e2f41f62d0af682fbbe271b5a59b62f08855c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-06-14T19:17:28Z","title_canon_sha256":"7dabf6e211c203a639b51b97c16c3320aefc14bceb617f5ca70cae5b743517ed"},"schema_version":"1.0","source":{"id":"1906.06374","kind":"arxiv","version":1}},"canonical_sha256":"f29ab166f8210006807c3c3d10ab7dc0d50976fcc323701075b6b91ffe596657","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f29ab166f8210006807c3c3d10ab7dc0d50976fcc323701075b6b91ffe596657","first_computed_at":"2026-05-17T23:43:13.909816Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:13.909816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HIoMknlZjAFbrSFQsH0zf7nbY7PuAomjM0Pp8Qqs8OCcpxr2gLKq6TZrbs3eFrkhYdbZEzpk7E55YB3aZ4BdAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:13.910265Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.06374","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e27490c066810ac1c88aebc52d86b492d5e9805b0dd6c9b11414834066ca9ba","sha256:74ca7e892b086bc07b857820aa98a14d2c6f28f1db8847e4da66a7f77bea1ed9"],"state_sha256":"51c64fca6decc4a97e4825881da3b97c440bbe4d14f7eda24d068f097da572f7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"alYHFjefZmLxgUA0gmK9nnldGdpAH+lej18icjqW0F+OibNraFV4yplrzL7nPe1oSpX1wJYr2BHaI6wqRi2mBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T06:22:59.093502Z","bundle_sha256":"805fadd6d660862c5d3eb7696e5d68b40133ff8c9553c6717383ad3001f089c4"}}