{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:NZI52JAK5Y3HKHA4UYHC6LVLYH","short_pith_number":"pith:NZI52JAK","canonical_record":{"source":{"id":"1008.3578","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-20T21:04:35Z","cross_cats_sorted":[],"title_canon_sha256":"7eae68e86b6fd990b9db0174c47e8562d200be16a2ddd71c11e436188a1eb1c2","abstract_canon_sha256":"525740c4eb5617f2319c7c88290075aa2062d6717b9e8d4cfe610553ef536ee9"},"schema_version":"1.0"},"canonical_sha256":"6e51dd240aee36751c1ca60e2f2eabc1eb1f731cc80b590438228b69dfb7fdf5","source":{"kind":"arxiv","id":"1008.3578","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.3578","created_at":"2026-05-18T02:05:44Z"},{"alias_kind":"arxiv_version","alias_value":"1008.3578v1","created_at":"2026-05-18T02:05:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.3578","created_at":"2026-05-18T02:05:44Z"},{"alias_kind":"pith_short_12","alias_value":"NZI52JAK5Y3H","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"NZI52JAK5Y3HKHA4","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"NZI52JAK","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:NZI52JAK5Y3HKHA4UYHC6LVLYH","target":"record","payload":{"canonical_record":{"source":{"id":"1008.3578","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-20T21:04:35Z","cross_cats_sorted":[],"title_canon_sha256":"7eae68e86b6fd990b9db0174c47e8562d200be16a2ddd71c11e436188a1eb1c2","abstract_canon_sha256":"525740c4eb5617f2319c7c88290075aa2062d6717b9e8d4cfe610553ef536ee9"},"schema_version":"1.0"},"canonical_sha256":"6e51dd240aee36751c1ca60e2f2eabc1eb1f731cc80b590438228b69dfb7fdf5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:44.168257Z","signature_b64":"7yS+hfGZbDxMNrj6RI7EMUnEdlMvT2LdhYo/OchJawTpcuXjj/ZPNXWnxyVnb3vU3+jyt1fwf0ULlC+vegShDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e51dd240aee36751c1ca60e2f2eabc1eb1f731cc80b590438228b69dfb7fdf5","last_reissued_at":"2026-05-18T02:05:44.167476Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:44.167476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.3578","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":"2026-05-18T02:05:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XWX4rs99ewcxagLs5fqWPOUs5RBxAvqXdOBYyEwELW5OcR0ypWjK0B3fmIpVALlhzPLm+AeDZJ6pFqlZ/fxuDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T03:47:09.827492Z"},"content_sha256":"3c6df712242e10f55c515bbd9207c6925169bc702928c05f86f8bd9b8598dac8","schema_version":"1.0","event_id":"sha256:3c6df712242e10f55c515bbd9207c6925169bc702928c05f86f8bd9b8598dac8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:NZI52JAK5Y3HKHA4UYHC6LVLYH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universal quantum computation by discontinuous quantum walk","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"David L. Feder, Michael S. Underwood","submitted_at":"2010-08-20T21:04:35Z","abstract_excerpt":"Quantum walks are the quantum-mechanical analog of random walks, in which a quantum `walker' evolves between initial and final states by traversing the edges of a graph, either in discrete steps from node to node or via continuous evolution under the Hamiltonian furnished by the adjacency matrix of the graph. We present a hybrid scheme for universal quantum computation in which a quantum walker takes discrete steps of continuous evolution. This `discontinuous' quantum walk employs perfect quantum state transfer between two nodes of specific subgraphs chosen to implement a universal gate set, t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.3578","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":"2026-05-18T02:05:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h+T6pXFCTrcjHuwIfzGVqswuIJxQXKTnijqgH16eMdFuTb5mu+B9F5w/4y+2+wkHAQ54+EUuDbtQrWc3oRe4Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T03:47:09.827852Z"},"content_sha256":"b318dddb986a8d9f5efc22f12bfd2afdfddb341e7465df7f86af7cc40e4f5735","schema_version":"1.0","event_id":"sha256:b318dddb986a8d9f5efc22f12bfd2afdfddb341e7465df7f86af7cc40e4f5735"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NZI52JAK5Y3HKHA4UYHC6LVLYH/bundle.json","state_url":"https://pith.science/pith/NZI52JAK5Y3HKHA4UYHC6LVLYH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NZI52JAK5Y3HKHA4UYHC6LVLYH/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":"2026-07-04T03:47:09Z","links":{"resolver":"https://pith.science/pith/NZI52JAK5Y3HKHA4UYHC6LVLYH","bundle":"https://pith.science/pith/NZI52JAK5Y3HKHA4UYHC6LVLYH/bundle.json","state":"https://pith.science/pith/NZI52JAK5Y3HKHA4UYHC6LVLYH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NZI52JAK5Y3HKHA4UYHC6LVLYH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:NZI52JAK5Y3HKHA4UYHC6LVLYH","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":"525740c4eb5617f2319c7c88290075aa2062d6717b9e8d4cfe610553ef536ee9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-20T21:04:35Z","title_canon_sha256":"7eae68e86b6fd990b9db0174c47e8562d200be16a2ddd71c11e436188a1eb1c2"},"schema_version":"1.0","source":{"id":"1008.3578","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.3578","created_at":"2026-05-18T02:05:44Z"},{"alias_kind":"arxiv_version","alias_value":"1008.3578v1","created_at":"2026-05-18T02:05:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.3578","created_at":"2026-05-18T02:05:44Z"},{"alias_kind":"pith_short_12","alias_value":"NZI52JAK5Y3H","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"NZI52JAK5Y3HKHA4","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"NZI52JAK","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:b318dddb986a8d9f5efc22f12bfd2afdfddb341e7465df7f86af7cc40e4f5735","target":"graph","created_at":"2026-05-18T02:05:44Z","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":"Quantum walks are the quantum-mechanical analog of random walks, in which a quantum `walker' evolves between initial and final states by traversing the edges of a graph, either in discrete steps from node to node or via continuous evolution under the Hamiltonian furnished by the adjacency matrix of the graph. We present a hybrid scheme for universal quantum computation in which a quantum walker takes discrete steps of continuous evolution. This `discontinuous' quantum walk employs perfect quantum state transfer between two nodes of specific subgraphs chosen to implement a universal gate set, t","authors_text":"David L. Feder, Michael S. Underwood","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-20T21:04:35Z","title":"Universal quantum computation by discontinuous quantum walk"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.3578","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":"sha256:3c6df712242e10f55c515bbd9207c6925169bc702928c05f86f8bd9b8598dac8","target":"record","created_at":"2026-05-18T02:05:44Z","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":"525740c4eb5617f2319c7c88290075aa2062d6717b9e8d4cfe610553ef536ee9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-20T21:04:35Z","title_canon_sha256":"7eae68e86b6fd990b9db0174c47e8562d200be16a2ddd71c11e436188a1eb1c2"},"schema_version":"1.0","source":{"id":"1008.3578","kind":"arxiv","version":1}},"canonical_sha256":"6e51dd240aee36751c1ca60e2f2eabc1eb1f731cc80b590438228b69dfb7fdf5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e51dd240aee36751c1ca60e2f2eabc1eb1f731cc80b590438228b69dfb7fdf5","first_computed_at":"2026-05-18T02:05:44.167476Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:44.167476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7yS+hfGZbDxMNrj6RI7EMUnEdlMvT2LdhYo/OchJawTpcuXjj/ZPNXWnxyVnb3vU3+jyt1fwf0ULlC+vegShDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:44.168257Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.3578","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c6df712242e10f55c515bbd9207c6925169bc702928c05f86f8bd9b8598dac8","sha256:b318dddb986a8d9f5efc22f12bfd2afdfddb341e7465df7f86af7cc40e4f5735"],"state_sha256":"05b1dc6965680e4ed1c6d1a43451ca5b205ae1b130950d49df3f5514128943f0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"asxV5tes551izI4SKwT3nJ7nV2hkH00LFZg2hHnIeknAQotEpgIGR8GY+1oyE4B01TbXkfagmgwBNjIvXGbHBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T03:47:09.830721Z","bundle_sha256":"3d64454d364c8886123c3a8faa890dd6d2cc2e48bfbe31afa3785ba48ba802ee"}}