{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:PXC7HA3ZE6SDQLXOQBUGTRKZFW","short_pith_number":"pith:PXC7HA3Z","canonical_record":{"source":{"id":"1002.0420","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-02-02T08:44:13Z","cross_cats_sorted":[],"title_canon_sha256":"0234c162eb3c872215770800ca842bb3474b89469290f26bef071811c73ed837","abstract_canon_sha256":"ba909b0386b4f6cf980b4946c93e8f74526ac2da3e4cc583f30250f130358f33"},"schema_version":"1.0"},"canonical_sha256":"7dc5f3837927a4382eee806869c5592d9a68faf448b63f6ec8eaed32af8377d7","source":{"kind":"arxiv","id":"1002.0420","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.0420","created_at":"2026-05-18T03:23:37Z"},{"alias_kind":"arxiv_version","alias_value":"1002.0420v2","created_at":"2026-05-18T03:23:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.0420","created_at":"2026-05-18T03:23:37Z"},{"alias_kind":"pith_short_12","alias_value":"PXC7HA3ZE6SD","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"PXC7HA3ZE6SDQLXO","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"PXC7HA3Z","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:PXC7HA3ZE6SDQLXOQBUGTRKZFW","target":"record","payload":{"canonical_record":{"source":{"id":"1002.0420","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-02-02T08:44:13Z","cross_cats_sorted":[],"title_canon_sha256":"0234c162eb3c872215770800ca842bb3474b89469290f26bef071811c73ed837","abstract_canon_sha256":"ba909b0386b4f6cf980b4946c93e8f74526ac2da3e4cc583f30250f130358f33"},"schema_version":"1.0"},"canonical_sha256":"7dc5f3837927a4382eee806869c5592d9a68faf448b63f6ec8eaed32af8377d7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:23:37.858418Z","signature_b64":"IYys+ESf4/dyWFtpNmWJiRxgfqa565SdqpZrOe1wuAI51L58u1KOGqJf/YWateHmS72o69UpoPX1DX1cSI7+AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7dc5f3837927a4382eee806869c5592d9a68faf448b63f6ec8eaed32af8377d7","last_reissued_at":"2026-05-18T03:23:37.857596Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:23:37.857596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1002.0420","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":"2026-05-18T03:23:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/g+r90+TvkMglDlRPSmituWzUo4/QKc26JEZKu8HPhSjbwsLwQiRNxSzl6dWfXrLiM/miJYbOmUceEbFz7+0BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:09:35.629223Z"},"content_sha256":"c19de26d78ca0a161078440517c577364f33144c75b5dfa3fc32c2f6763e96d1","schema_version":"1.0","event_id":"sha256:c19de26d78ca0a161078440517c577364f33144c75b5dfa3fc32c2f6763e96d1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:PXC7HA3ZE6SDQLXOQBUGTRKZFW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universal 2-local Hamiltonian Quantum Computing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Daniel Nagaj","submitted_at":"2010-02-02T08:44:13Z","abstract_excerpt":"We present a Hamiltonian quantum computation scheme universal for quantum computation (BQP). Our Hamiltonian is a sum of a polynomial number (in the number of gates L in the quantum circuit) of time-independent, constant-norm, 2-local qubit-qubit interaction terms. Furthermore, each qubit in the system interacts only with a constant number of other qubits. The computer runs in three steps - starts in a simple initial product-state, evolves it for time of order L^2 (up to logarithmic factors) and wraps up with a two-qubit measurement. Our model differs from the previous universal 2-local Hamilt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.0420","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":"2026-05-18T03:23:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nOwHA3WO56+ulgoOckLxrvhwGeS6NsVYiPj+XX3D0RWq5ad7VeCGOmJ8pLLhsXjQh1OUvrG35ice1djGhPnUAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:09:35.629573Z"},"content_sha256":"c017de6f58b451d3ab515a81fc5081b991f96cbed5f9b875d08a57fbd17c920b","schema_version":"1.0","event_id":"sha256:c017de6f58b451d3ab515a81fc5081b991f96cbed5f9b875d08a57fbd17c920b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PXC7HA3ZE6SDQLXOQBUGTRKZFW/bundle.json","state_url":"https://pith.science/pith/PXC7HA3ZE6SDQLXOQBUGTRKZFW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PXC7HA3ZE6SDQLXOQBUGTRKZFW/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":"2026-06-08T23:09:35Z","links":{"resolver":"https://pith.science/pith/PXC7HA3ZE6SDQLXOQBUGTRKZFW","bundle":"https://pith.science/pith/PXC7HA3ZE6SDQLXOQBUGTRKZFW/bundle.json","state":"https://pith.science/pith/PXC7HA3ZE6SDQLXOQBUGTRKZFW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PXC7HA3ZE6SDQLXOQBUGTRKZFW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:PXC7HA3ZE6SDQLXOQBUGTRKZFW","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":"ba909b0386b4f6cf980b4946c93e8f74526ac2da3e4cc583f30250f130358f33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-02-02T08:44:13Z","title_canon_sha256":"0234c162eb3c872215770800ca842bb3474b89469290f26bef071811c73ed837"},"schema_version":"1.0","source":{"id":"1002.0420","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.0420","created_at":"2026-05-18T03:23:37Z"},{"alias_kind":"arxiv_version","alias_value":"1002.0420v2","created_at":"2026-05-18T03:23:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.0420","created_at":"2026-05-18T03:23:37Z"},{"alias_kind":"pith_short_12","alias_value":"PXC7HA3ZE6SD","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"PXC7HA3ZE6SDQLXO","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"PXC7HA3Z","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:c017de6f58b451d3ab515a81fc5081b991f96cbed5f9b875d08a57fbd17c920b","target":"graph","created_at":"2026-05-18T03:23:37Z","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 Hamiltonian quantum computation scheme universal for quantum computation (BQP). Our Hamiltonian is a sum of a polynomial number (in the number of gates L in the quantum circuit) of time-independent, constant-norm, 2-local qubit-qubit interaction terms. Furthermore, each qubit in the system interacts only with a constant number of other qubits. The computer runs in three steps - starts in a simple initial product-state, evolves it for time of order L^2 (up to logarithmic factors) and wraps up with a two-qubit measurement. Our model differs from the previous universal 2-local Hamilt","authors_text":"Daniel Nagaj","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-02-02T08:44:13Z","title":"Universal 2-local Hamiltonian Quantum Computing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.0420","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:c19de26d78ca0a161078440517c577364f33144c75b5dfa3fc32c2f6763e96d1","target":"record","created_at":"2026-05-18T03:23:37Z","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":"ba909b0386b4f6cf980b4946c93e8f74526ac2da3e4cc583f30250f130358f33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-02-02T08:44:13Z","title_canon_sha256":"0234c162eb3c872215770800ca842bb3474b89469290f26bef071811c73ed837"},"schema_version":"1.0","source":{"id":"1002.0420","kind":"arxiv","version":2}},"canonical_sha256":"7dc5f3837927a4382eee806869c5592d9a68faf448b63f6ec8eaed32af8377d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7dc5f3837927a4382eee806869c5592d9a68faf448b63f6ec8eaed32af8377d7","first_computed_at":"2026-05-18T03:23:37.857596Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:23:37.857596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IYys+ESf4/dyWFtpNmWJiRxgfqa565SdqpZrOe1wuAI51L58u1KOGqJf/YWateHmS72o69UpoPX1DX1cSI7+AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:23:37.858418Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.0420","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c19de26d78ca0a161078440517c577364f33144c75b5dfa3fc32c2f6763e96d1","sha256:c017de6f58b451d3ab515a81fc5081b991f96cbed5f9b875d08a57fbd17c920b"],"state_sha256":"3b5f7fdd70d1588e2efefb3d0241269488adc4e023ff573afd2d9bc804f32ad5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jjUP1m1aUrhAxhzUMtDaAnRC6jMI04BdRHDgnAAsX21laqt8MCEPmAcMW6HuawDx1OHUh4YJEcW+S/67D4ipBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T23:09:35.631413Z","bundle_sha256":"212f4dcbc37b27dd53b2243af17f14a310d57eb928804700a7ea4995efa00e1f"}}