{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:6HZE7F54Z6VDYDDEPOP6SESZB2","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":"a97e20aab017ecf3ba17e113e3fe1927573d7f70f0ae3e7b2ec6f8893213e0e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-22T07:41:32Z","title_canon_sha256":"7de7cfdedfe39de045bd2e6aa46f06b02875b859c7fbe2076d46257f55af5acd"},"schema_version":"1.0","source":{"id":"2607.19852","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.19852","created_at":"2026-07-23T01:24:03Z"},{"alias_kind":"arxiv_version","alias_value":"2607.19852v1","created_at":"2026-07-23T01:24:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.19852","created_at":"2026-07-23T01:24:03Z"},{"alias_kind":"pith_short_12","alias_value":"6HZE7F54Z6VD","created_at":"2026-07-23T01:24:03Z"},{"alias_kind":"pith_short_16","alias_value":"6HZE7F54Z6VDYDDE","created_at":"2026-07-23T01:24:03Z"},{"alias_kind":"pith_short_8","alias_value":"6HZE7F54","created_at":"2026-07-23T01:24:03Z"}],"graph_snapshots":[{"event_id":"sha256:9498d8f3f4bf17a7f7c718c1f1d83ce22cd4c4e617a0bd5e30440796bc3a7a87","target":"graph","created_at":"2026-07-23T01:24:03Z","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/2607.19852/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For Hamiltonian $H = \\sum_j h_j$, we prove asymptotically tight lower bounds on the gate and query complexities of simulating time evolution on a quantum computer. Our bounds hold for arbitrary term norms $\\|h_j\\|$, time $t$, and trace-distance error $\\epsilon$. The matching upper bound (known as composite qDRIFT) consists of high-order Trotterization of the large terms and a randomized first-order Trotterization of the small terms. Unlike prior work that chooses worst-case $\\|h_j\\|$ to encode the computation of parity or other Boolean functions in time evolution, our proof is elementary and b","authors_text":"Alexander Zlokapa, Aram W. Harrow, Richard R. Allen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-22T07:41:32Z","title":"Optimal Lower Bounds for Hamiltonian Simulation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.19852","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":"sha256:8811e2749fa47ea1128da08192c879442479c31f7108edc959770833882bcb7b","target":"record","created_at":"2026-07-23T01:24:03Z","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":"a97e20aab017ecf3ba17e113e3fe1927573d7f70f0ae3e7b2ec6f8893213e0e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-22T07:41:32Z","title_canon_sha256":"7de7cfdedfe39de045bd2e6aa46f06b02875b859c7fbe2076d46257f55af5acd"},"schema_version":"1.0","source":{"id":"2607.19852","kind":"arxiv","version":1}},"canonical_sha256":"f1f24f97bccfaa3c0c647b9fe912590e82edf952dff9c665ef4f37cd153a8ab8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1f24f97bccfaa3c0c647b9fe912590e82edf952dff9c665ef4f37cd153a8ab8","first_computed_at":"2026-07-23T01:24:03.676014Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-23T01:24:03.676014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iFnMfNvHykC9Ui8ZIdTHVk1gKEAd/gM16i3RDLCAPFt4Yu5rqFY8auxZzaKWcG8AaEqidrTlb8f43d1tY71sAg==","signature_status":"signed_v1","signed_at":"2026-07-23T01:24:03.676836Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.19852","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8811e2749fa47ea1128da08192c879442479c31f7108edc959770833882bcb7b","sha256:9498d8f3f4bf17a7f7c718c1f1d83ce22cd4c4e617a0bd5e30440796bc3a7a87"],"state_sha256":"679a37072fbde4effbcaf3b0d73daf5d29e20bbcc24a55e1d3bfe8f8283aac64"}