{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:T57SWUXNH4JNAXH2KKMU3H22C7","short_pith_number":"pith:T57SWUXN","schema_version":"1.0","canonical_sha256":"9f7f2b52ed3f12d05cfa52994d9f5a17c3a7f46660e48c000afdb80ff53d89d5","source":{"kind":"arxiv","id":"2607.15358","version":1},"attestation_state":"computed","paper":{"title":"Spectral amplification for ground-state energy estimation of electronic structure in first quantization","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.chem-ph"],"primary_cat":"quant-ph","authors_text":"A. Eugene DePrince III, Alec F. White, Alicja Dutkiewicz, Dominic W. Berry, Guang Hao Low, Marika Kieferova, Matthew P. Harrigan, Nicholas C. Rubin, Ryan Babbush","submitted_at":"2026-07-16T18:01:29Z","abstract_excerpt":"We demonstrate an asymptotic gate complexity improvement in first-quantized ground-state energy estimation of electronic structure Hamiltonians in a plane wave basis by employing the sum-of-squares spectral gap amplification protocol. The improvement relies on identifying a sum-of-squares representation of the Hamiltonian which provides a lower bound certificate and low cost block encoding that leads to a provably lower quantum phase estimation gate cost. This is achieved by using a sum-of-squares operator generated by the total charge density operator resulting in a block encoding normalizati"},"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":"2607.15358","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-16T18:01:29Z","cross_cats_sorted":["physics.chem-ph"],"title_canon_sha256":"f6c0bd4e3da7a6bf8a5b2546d31230e5ae83ece9339948490b6299dd0967b79b","abstract_canon_sha256":"ef62a35c9b3b3a019a0aeadf55e4eee8e7b03a303583d26c2fe858d49777b141"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-20T00:18:29.235951Z","signature_b64":"HghHkWJXno68eq88gTx/5ipNxAbCJL8FlL+CXXU+IvbHiJ3lAkLAWnHqo2lXrJBsJGsdynwncVC2gNVADQo5Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9f7f2b52ed3f12d05cfa52994d9f5a17c3a7f46660e48c000afdb80ff53d89d5","last_reissued_at":"2026-07-20T00:18:29.235097Z","signature_status":"signed_v1","first_computed_at":"2026-07-20T00:18:29.235097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spectral amplification for ground-state energy estimation of electronic structure in first quantization","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.chem-ph"],"primary_cat":"quant-ph","authors_text":"A. Eugene DePrince III, Alec F. White, Alicja Dutkiewicz, Dominic W. Berry, Guang Hao Low, Marika Kieferova, Matthew P. Harrigan, Nicholas C. Rubin, Ryan Babbush","submitted_at":"2026-07-16T18:01:29Z","abstract_excerpt":"We demonstrate an asymptotic gate complexity improvement in first-quantized ground-state energy estimation of electronic structure Hamiltonians in a plane wave basis by employing the sum-of-squares spectral gap amplification protocol. The improvement relies on identifying a sum-of-squares representation of the Hamiltonian which provides a lower bound certificate and low cost block encoding that leads to a provably lower quantum phase estimation gate cost. This is achieved by using a sum-of-squares operator generated by the total charge density operator resulting in a block encoding normalizati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.15358","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/2607.15358/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2607.15358","created_at":"2026-07-20T00:18:29.235544+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.15358v1","created_at":"2026-07-20T00:18:29.235544+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.15358","created_at":"2026-07-20T00:18:29.235544+00:00"},{"alias_kind":"pith_short_12","alias_value":"T57SWUXNH4JN","created_at":"2026-07-20T00:18:29.235544+00:00"},{"alias_kind":"pith_short_16","alias_value":"T57SWUXNH4JNAXH2","created_at":"2026-07-20T00:18:29.235544+00:00"},{"alias_kind":"pith_short_8","alias_value":"T57SWUXN","created_at":"2026-07-20T00:18:29.235544+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/T57SWUXNH4JNAXH2KKMU3H22C7","json":"https://pith.science/pith/T57SWUXNH4JNAXH2KKMU3H22C7.json","graph_json":"https://pith.science/api/pith-number/T57SWUXNH4JNAXH2KKMU3H22C7/graph.json","events_json":"https://pith.science/api/pith-number/T57SWUXNH4JNAXH2KKMU3H22C7/events.json","paper":"https://pith.science/paper/T57SWUXN"},"agent_actions":{"view_html":"https://pith.science/pith/T57SWUXNH4JNAXH2KKMU3H22C7","download_json":"https://pith.science/pith/T57SWUXNH4JNAXH2KKMU3H22C7.json","view_paper":"https://pith.science/paper/T57SWUXN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.15358&json=true","fetch_graph":"https://pith.science/api/pith-number/T57SWUXNH4JNAXH2KKMU3H22C7/graph.json","fetch_events":"https://pith.science/api/pith-number/T57SWUXNH4JNAXH2KKMU3H22C7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/T57SWUXNH4JNAXH2KKMU3H22C7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/T57SWUXNH4JNAXH2KKMU3H22C7/action/storage_attestation","attest_author":"https://pith.science/pith/T57SWUXNH4JNAXH2KKMU3H22C7/action/author_attestation","sign_citation":"https://pith.science/pith/T57SWUXNH4JNAXH2KKMU3H22C7/action/citation_signature","submit_replication":"https://pith.science/pith/T57SWUXNH4JNAXH2KKMU3H22C7/action/replication_record"}},"created_at":"2026-07-20T00:18:29.235544+00:00","updated_at":"2026-07-20T00:18:29.235544+00:00"}