{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:ZK4W5FKGUGEPHI4DPDKXVZL5EX","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":"4f7944f870ac394fde881cdf3755e3a2a24dc4d11f584876e907d45aea5b0bc6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-11-02T18:30:38Z","title_canon_sha256":"2eea3d2b7b6d82cafb09f711bf67b249875b13ec3e9e040491fc96b357977f86"},"schema_version":"1.0","source":{"id":"2311.01533","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.01533","created_at":"2026-07-05T10:16:57Z"},{"alias_kind":"arxiv_version","alias_value":"2311.01533v3","created_at":"2026-07-05T10:16:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.01533","created_at":"2026-07-05T10:16:57Z"},{"alias_kind":"pith_short_12","alias_value":"ZK4W5FKGUGEP","created_at":"2026-07-05T10:16:57Z"},{"alias_kind":"pith_short_16","alias_value":"ZK4W5FKGUGEPHI4D","created_at":"2026-07-05T10:16:57Z"},{"alias_kind":"pith_short_8","alias_value":"ZK4W5FKG","created_at":"2026-07-05T10:16:57Z"}],"graph_snapshots":[{"event_id":"sha256:4640681c294676c58e5254ef2a6555a5209d3a25d23efd027448ca4cb2f80b33","target":"graph","created_at":"2026-07-05T10:16:57Z","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/2311.01533/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The work here enables linear cost-scaling with evolution time $t$ while keeping ${\\rm polylog} (1/\\epsilon)$ scaling and no extra block-encoding qubits, where $\\epsilon$ is the algorithmic error. This is achieved through product formulas, stable interpolation (Chebyshev), and to calculate the needed fractional queries, cardinal sine interpolation is used.","authors_text":"Gumaro Rendon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-11-02T18:30:38Z","title":"All you need is Trotter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.01533","kind":"arxiv","version":3},"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:a75fa78b309f23cf8600464aa68077ba650a784f1105465320b45680ebc94ade","target":"record","created_at":"2026-07-05T10:16:57Z","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":"4f7944f870ac394fde881cdf3755e3a2a24dc4d11f584876e907d45aea5b0bc6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-11-02T18:30:38Z","title_canon_sha256":"2eea3d2b7b6d82cafb09f711bf67b249875b13ec3e9e040491fc96b357977f86"},"schema_version":"1.0","source":{"id":"2311.01533","kind":"arxiv","version":3}},"canonical_sha256":"cab96e9546a188f3a38378d57ae57d25c0ec4fb9ac65d492cbf42675f05cfd01","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cab96e9546a188f3a38378d57ae57d25c0ec4fb9ac65d492cbf42675f05cfd01","first_computed_at":"2026-07-05T10:16:57.829527Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:16:57.829527Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Iijd/hl9SuhfJeO4i1BfWjKtBWi/bIn/uExTWe13PV2n0DQ6XYtUsmjOAQ7q7fGs90wdq+MudgM5pYAQlfhMBw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:16:57.829962Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.01533","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a75fa78b309f23cf8600464aa68077ba650a784f1105465320b45680ebc94ade","sha256:4640681c294676c58e5254ef2a6555a5209d3a25d23efd027448ca4cb2f80b33"],"state_sha256":"7f87e3a628ca56a7485c76ed322c7e2887da75942f8152adaff4c6b86cdd13e2"}