{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:SEXJZOADIN7X3JEFNZRAVVOQIK","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":"6dee8b67bd405ffbceed8e82c2a2d380a0714e65dec6a31173777ebd8be290a7","cross_cats_sorted":["math-ph","math.MP","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-10-08T17:41:08Z","title_canon_sha256":"d8986abbf0f4a64f74d8020fef0ed1ee404d1702e3a832b255bf7ab19b8298a0"},"schema_version":"1.0","source":{"id":"2510.07278","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.07278","created_at":"2026-07-27T01:21:11Z"},{"alias_kind":"arxiv_version","alias_value":"2510.07278v2","created_at":"2026-07-27T01:21:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.07278","created_at":"2026-07-27T01:21:11Z"},{"alias_kind":"pith_short_12","alias_value":"SEXJZOADIN7X","created_at":"2026-07-27T01:21:11Z"},{"alias_kind":"pith_short_16","alias_value":"SEXJZOADIN7X3JEF","created_at":"2026-07-27T01:21:11Z"},{"alias_kind":"pith_short_8","alias_value":"SEXJZOAD","created_at":"2026-07-27T01:21:11Z"}],"graph_snapshots":[{"event_id":"sha256:de7631e30ace0d553efaa80bdce6fc9fbc89382384d7e52a03a30c42250b1d1d","target":"graph","created_at":"2026-07-27T01:21:11Z","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/2510.07278/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Preparing symmetry-adapted initial states is a principal bottleneck in first-quantized quantum simulation. We present a universal approach that efficiently maps any polynomial-size superposition of occupation-number configurations to the first-quantized representation on a digital quantum computer. The method exploits the Jordan--Schwinger Lie algebra homomorphism, which identifies number-conserving second-quantized operators with their first-quantized action and induces an equivariant bijection between Fock occupations and $\\mathfrak{su}(d)$ weight states within the Schur--Weyl decomposition.","authors_text":"Gaurav Saxena, Jack S. Baker, Thi Ha Kyaw","cross_cats":["math-ph","math.MP","physics.comp-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-10-08T17:41:08Z","title":"Universal initial state preparation for first quantized quantum simulations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.07278","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:dabd8b9609000ea502e7b0d923d4f3a00aeab553c7ab71eb4627e33932cd2a2b","target":"record","created_at":"2026-07-27T01:21:11Z","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":"6dee8b67bd405ffbceed8e82c2a2d380a0714e65dec6a31173777ebd8be290a7","cross_cats_sorted":["math-ph","math.MP","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-10-08T17:41:08Z","title_canon_sha256":"d8986abbf0f4a64f74d8020fef0ed1ee404d1702e3a832b255bf7ab19b8298a0"},"schema_version":"1.0","source":{"id":"2510.07278","kind":"arxiv","version":2}},"canonical_sha256":"912e9cb803437f7da4856e620ad5d042bf0c23e3ea51c4b51bb084e5a7473d05","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"912e9cb803437f7da4856e620ad5d042bf0c23e3ea51c4b51bb084e5a7473d05","first_computed_at":"2026-07-27T01:21:11.527356Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-27T01:21:11.527356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eV8uQFaI2Bz8HbgBJyqV8RzK1b0nHHgra0li0ZZT3QH+ouvh3+vX7/aI0wYyBU4Kq5fH5N1EY1lSy16goRXSBA==","signature_status":"signed_v1","signed_at":"2026-07-27T01:21:11.528386Z","signed_message":"canonical_sha256_bytes"},"source_id":"2510.07278","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dabd8b9609000ea502e7b0d923d4f3a00aeab553c7ab71eb4627e33932cd2a2b","sha256:de7631e30ace0d553efaa80bdce6fc9fbc89382384d7e52a03a30c42250b1d1d"],"state_sha256":"ae7d4564034466f801694b26b1c5b1aba66eb848e6a9245db2053b91908c3a44"}