{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:NFCZSPRCZ264XRJTLLHWOGUIFR","short_pith_number":"pith:NFCZSPRC","schema_version":"1.0","canonical_sha256":"6945993e22cebdcbc5335acf671a882c71bb61427ccbe94b835e454261822ff9","source":{"kind":"arxiv","id":"2606.05777","version":1},"attestation_state":"computed","paper":{"title":"Periodic Symmetry-Adapted Encoding: Qubit Reduction in Crystalline Electronic Structure","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Dario Picozzi","submitted_at":"2026-06-04T07:05:29Z","abstract_excerpt":"We extend the symmetry-adapted encoding (SAE) framework to periodic electronic structure, enabling qubit-efficient quantum simulation of crystalline materials. By constructing a $\\Gamma$-point supercell Hamiltonian from a folded $k$-point calculation and systematically identifying all applicable space-group symmetry generators -- including spin-parity, point-group, and crystal translation symmetries -- we obtain qubit Hamiltonians with fewer qubits than the Jordan--Wigner starting point. We benchmark diamond, silicon, 3C-SiC, MgO, NaCl, CsCl, h-BN, wurtzite AlN, $\\alpha$-quartz SiO$_2$, and Mg"},"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":"2606.05777","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-04T07:05:29Z","cross_cats_sorted":[],"title_canon_sha256":"23695db6dcd7121676aba535565b2aef7c86a4343610bd9d9104567e40b993d4","abstract_canon_sha256":"f04fb424e27d5c021536fd963cc6a0a6e56254cb86673f3d1166b4305374b4be"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-05T01:15:02.822512Z","signature_b64":"FJY5RFlyj7UeAj5JG6Jc66Mme7pQSnUST8tHBWRYisRuP+YTNuVbBsZXWb2BTtTMpuGAaZC65YcRevX1+srNCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6945993e22cebdcbc5335acf671a882c71bb61427ccbe94b835e454261822ff9","last_reissued_at":"2026-06-05T01:15:02.821893Z","signature_status":"signed_v1","first_computed_at":"2026-06-05T01:15:02.821893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Periodic Symmetry-Adapted Encoding: Qubit Reduction in Crystalline Electronic Structure","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Dario Picozzi","submitted_at":"2026-06-04T07:05:29Z","abstract_excerpt":"We extend the symmetry-adapted encoding (SAE) framework to periodic electronic structure, enabling qubit-efficient quantum simulation of crystalline materials. By constructing a $\\Gamma$-point supercell Hamiltonian from a folded $k$-point calculation and systematically identifying all applicable space-group symmetry generators -- including spin-parity, point-group, and crystal translation symmetries -- we obtain qubit Hamiltonians with fewer qubits than the Jordan--Wigner starting point. We benchmark diamond, silicon, 3C-SiC, MgO, NaCl, CsCl, h-BN, wurtzite AlN, $\\alpha$-quartz SiO$_2$, and Mg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.05777","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/2606.05777/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":"2606.05777","created_at":"2026-06-05T01:15:02.821991+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.05777v1","created_at":"2026-06-05T01:15:02.821991+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.05777","created_at":"2026-06-05T01:15:02.821991+00:00"},{"alias_kind":"pith_short_12","alias_value":"NFCZSPRCZ264","created_at":"2026-06-05T01:15:02.821991+00:00"},{"alias_kind":"pith_short_16","alias_value":"NFCZSPRCZ264XRJT","created_at":"2026-06-05T01:15:02.821991+00:00"},{"alias_kind":"pith_short_8","alias_value":"NFCZSPRC","created_at":"2026-06-05T01:15:02.821991+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/NFCZSPRCZ264XRJTLLHWOGUIFR","json":"https://pith.science/pith/NFCZSPRCZ264XRJTLLHWOGUIFR.json","graph_json":"https://pith.science/api/pith-number/NFCZSPRCZ264XRJTLLHWOGUIFR/graph.json","events_json":"https://pith.science/api/pith-number/NFCZSPRCZ264XRJTLLHWOGUIFR/events.json","paper":"https://pith.science/paper/NFCZSPRC"},"agent_actions":{"view_html":"https://pith.science/pith/NFCZSPRCZ264XRJTLLHWOGUIFR","download_json":"https://pith.science/pith/NFCZSPRCZ264XRJTLLHWOGUIFR.json","view_paper":"https://pith.science/paper/NFCZSPRC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.05777&json=true","fetch_graph":"https://pith.science/api/pith-number/NFCZSPRCZ264XRJTLLHWOGUIFR/graph.json","fetch_events":"https://pith.science/api/pith-number/NFCZSPRCZ264XRJTLLHWOGUIFR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NFCZSPRCZ264XRJTLLHWOGUIFR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NFCZSPRCZ264XRJTLLHWOGUIFR/action/storage_attestation","attest_author":"https://pith.science/pith/NFCZSPRCZ264XRJTLLHWOGUIFR/action/author_attestation","sign_citation":"https://pith.science/pith/NFCZSPRCZ264XRJTLLHWOGUIFR/action/citation_signature","submit_replication":"https://pith.science/pith/NFCZSPRCZ264XRJTLLHWOGUIFR/action/replication_record"}},"created_at":"2026-06-05T01:15:02.821991+00:00","updated_at":"2026-06-05T01:15:02.821991+00:00"}