{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:VFSI4DH662PP4TDSTH2ROM2DIT","short_pith_number":"pith:VFSI4DH6","schema_version":"1.0","canonical_sha256":"a9648e0cfef69efe4c7299f517334344d28bb0cc79d20e61e896b78658b7eada","source":{"kind":"arxiv","id":"1210.1531","version":2},"attestation_state":"computed","paper":{"title":"Ten-million-atom electronic structure calculations on the K computer with a massively parallel order-N theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Takahisa Ohno, Takeo Hoshi, Tatsunori Tanaka, Yohei Akiyama","submitted_at":"2012-10-04T18:29:53Z","abstract_excerpt":"A massively parallel order-N electronic structure theory was constructed by an interdisciplinary research between physics, applied mathematics and computer science. (1) A high parallel efficiency with ten-million-atom nanomaterials was realized on the K computer with upto 98,304 processor cores. The mathematical foundation is a novel linear algebraic algorithm for the generalized shifted linear equation. The calculation was carried out by our code ' ELSES ' (www.elses.jp) with modelled (tight-binding-form) systems based on ab initio calculations. (2) A post-calculation analysis method, called "},"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":"1210.1531","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2012-10-04T18:29:53Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"62dcb0026b9f763632e6f871cca69cd75663d7e09052c6a39d872e36fc9c5e01","abstract_canon_sha256":"1201188f8c19b5b75afef235ef9058de70828a88fda02333460ac0db950509e9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:35:25.359013Z","signature_b64":"agWTY0s0/y2o2LnUJrM7PEOsDBxpPhEHAV3eTLeWIpMD+I96WjxEzOKLMJIAgdTBgj5JjaQ5UQYu3NRK9zumCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9648e0cfef69efe4c7299f517334344d28bb0cc79d20e61e896b78658b7eada","last_reissued_at":"2026-05-18T03:35:25.358331Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:35:25.358331Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ten-million-atom electronic structure calculations on the K computer with a massively parallel order-N theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Takahisa Ohno, Takeo Hoshi, Tatsunori Tanaka, Yohei Akiyama","submitted_at":"2012-10-04T18:29:53Z","abstract_excerpt":"A massively parallel order-N electronic structure theory was constructed by an interdisciplinary research between physics, applied mathematics and computer science. (1) A high parallel efficiency with ten-million-atom nanomaterials was realized on the K computer with upto 98,304 processor cores. The mathematical foundation is a novel linear algebraic algorithm for the generalized shifted linear equation. The calculation was carried out by our code ' ELSES ' (www.elses.jp) with modelled (tight-binding-form) systems based on ab initio calculations. (2) A post-calculation analysis method, called "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.1531","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1210.1531","created_at":"2026-05-18T03:35:25.358422+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.1531v2","created_at":"2026-05-18T03:35:25.358422+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.1531","created_at":"2026-05-18T03:35:25.358422+00:00"},{"alias_kind":"pith_short_12","alias_value":"VFSI4DH662PP","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_16","alias_value":"VFSI4DH662PP4TDS","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_8","alias_value":"VFSI4DH6","created_at":"2026-05-18T12:27:25.539911+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/VFSI4DH662PP4TDSTH2ROM2DIT","json":"https://pith.science/pith/VFSI4DH662PP4TDSTH2ROM2DIT.json","graph_json":"https://pith.science/api/pith-number/VFSI4DH662PP4TDSTH2ROM2DIT/graph.json","events_json":"https://pith.science/api/pith-number/VFSI4DH662PP4TDSTH2ROM2DIT/events.json","paper":"https://pith.science/paper/VFSI4DH6"},"agent_actions":{"view_html":"https://pith.science/pith/VFSI4DH662PP4TDSTH2ROM2DIT","download_json":"https://pith.science/pith/VFSI4DH662PP4TDSTH2ROM2DIT.json","view_paper":"https://pith.science/paper/VFSI4DH6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.1531&json=true","fetch_graph":"https://pith.science/api/pith-number/VFSI4DH662PP4TDSTH2ROM2DIT/graph.json","fetch_events":"https://pith.science/api/pith-number/VFSI4DH662PP4TDSTH2ROM2DIT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VFSI4DH662PP4TDSTH2ROM2DIT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VFSI4DH662PP4TDSTH2ROM2DIT/action/storage_attestation","attest_author":"https://pith.science/pith/VFSI4DH662PP4TDSTH2ROM2DIT/action/author_attestation","sign_citation":"https://pith.science/pith/VFSI4DH662PP4TDSTH2ROM2DIT/action/citation_signature","submit_replication":"https://pith.science/pith/VFSI4DH662PP4TDSTH2ROM2DIT/action/replication_record"}},"created_at":"2026-05-18T03:35:25.358422+00:00","updated_at":"2026-05-18T03:35:25.358422+00:00"}