{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:4KP6F26RRD7SDTPG45RQUUQJHQ","short_pith_number":"pith:4KP6F26R","schema_version":"1.0","canonical_sha256":"e29fe2ebd188ff21cde6e7630a52093c0d1d5eca6a351917e2dbe2a2f6f2fb17","source":{"kind":"arxiv","id":"2605.16016","version":1},"attestation_state":"computed","paper":{"title":"Beyond Commutativity: Redesigning Trotter Decomposition via Local Symmetry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"Bo Yang, Naoki Negishi","submitted_at":"2026-05-15T14:50:29Z","abstract_excerpt":"The product formula, commonly known as Trotter decomposition, is a central tool for digital quantum simulation, whose performance depends critically on how the Hamiltonian is partitioned into tractable blocks. Standard decompositions typically rely on direct commutativity among Hamiltonian terms in a chosen operator representation, which can lead to large residual errors and deep circuits for complex, practically relevant many-body quantum systems. We address this fundamental bottleneck by introducing a new decomposition principle that goes beyond commutativity, grouping Hamiltonian terms into"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2605.16016","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-05-15T14:50:29Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"0dded61fc40c695804c9dc9543d2cf443e9578505d5ce5873096d384e8b2b5b2","abstract_canon_sha256":"47e55eac2b5c7dad85c0b9d8c3fc9965478f0dc84b7a7a16243af6a221278655"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:01:49.200891Z","signature_b64":"FLN8E/EkIqj8/EJ8gSlDfH2QBPt6S8ixdim4Hfj8bQag/GxOQlASD11xtSwAmZ1qvMYcCwF1t+2bmAyJ2y5pAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e29fe2ebd188ff21cde6e7630a52093c0d1d5eca6a351917e2dbe2a2f6f2fb17","last_reissued_at":"2026-05-20T00:01:49.200274Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:01:49.200274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Beyond Commutativity: Redesigning Trotter Decomposition via Local Symmetry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"Bo Yang, Naoki Negishi","submitted_at":"2026-05-15T14:50:29Z","abstract_excerpt":"The product formula, commonly known as Trotter decomposition, is a central tool for digital quantum simulation, whose performance depends critically on how the Hamiltonian is partitioned into tractable blocks. Standard decompositions typically rely on direct commutativity among Hamiltonian terms in a chosen operator representation, which can lead to large residual errors and deep circuits for complex, practically relevant many-body quantum systems. We address this fundamental bottleneck by introducing a new decomposition principle that goes beyond commutativity, grouping Hamiltonian terms into"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.16016","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.16016/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-19T17:33:42.162732Z","status":"skipped","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T17:01:55.640401Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"2225c2722dcb90dddba8311d335be090dced13e9587bb71d1e364bc4ac9dffb6"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2605.16016","created_at":"2026-05-20T00:01:49.200386+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.16016v1","created_at":"2026-05-20T00:01:49.200386+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.16016","created_at":"2026-05-20T00:01:49.200386+00:00"},{"alias_kind":"pith_short_12","alias_value":"4KP6F26RRD7S","created_at":"2026-05-20T00:01:49.200386+00:00"},{"alias_kind":"pith_short_16","alias_value":"4KP6F26RRD7SDTPG","created_at":"2026-05-20T00:01:49.200386+00:00"},{"alias_kind":"pith_short_8","alias_value":"4KP6F26R","created_at":"2026-05-20T00:01:49.200386+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4KP6F26RRD7SDTPG45RQUUQJHQ","json":"https://pith.science/pith/4KP6F26RRD7SDTPG45RQUUQJHQ.json","graph_json":"https://pith.science/api/pith-number/4KP6F26RRD7SDTPG45RQUUQJHQ/graph.json","events_json":"https://pith.science/api/pith-number/4KP6F26RRD7SDTPG45RQUUQJHQ/events.json","paper":"https://pith.science/paper/4KP6F26R"},"agent_actions":{"view_html":"https://pith.science/pith/4KP6F26RRD7SDTPG45RQUUQJHQ","download_json":"https://pith.science/pith/4KP6F26RRD7SDTPG45RQUUQJHQ.json","view_paper":"https://pith.science/paper/4KP6F26R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.16016&json=true","fetch_graph":"https://pith.science/api/pith-number/4KP6F26RRD7SDTPG45RQUUQJHQ/graph.json","fetch_events":"https://pith.science/api/pith-number/4KP6F26RRD7SDTPG45RQUUQJHQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4KP6F26RRD7SDTPG45RQUUQJHQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4KP6F26RRD7SDTPG45RQUUQJHQ/action/storage_attestation","attest_author":"https://pith.science/pith/4KP6F26RRD7SDTPG45RQUUQJHQ/action/author_attestation","sign_citation":"https://pith.science/pith/4KP6F26RRD7SDTPG45RQUUQJHQ/action/citation_signature","submit_replication":"https://pith.science/pith/4KP6F26RRD7SDTPG45RQUUQJHQ/action/replication_record"}},"created_at":"2026-05-20T00:01:49.200386+00:00","updated_at":"2026-05-20T00:01:49.200386+00:00"}