{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:EI2JIU76JWN3PVTZW4B4IC2HVN","short_pith_number":"pith:EI2JIU76","canonical_record":{"source":{"id":"1011.4764","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-11-22T10:21:33Z","cross_cats_sorted":["physics.chem-ph"],"title_canon_sha256":"d5edeeb981985e8979e97d0ff0c82181a39aea23d2c938c312cd06ff0114fca7","abstract_canon_sha256":"19ba82de66aea167e3b057b440ec1e3f6245dddf7023c9824e2ba954dbb70698"},"schema_version":"1.0"},"canonical_sha256":"22349453fe4d9bb7d679b703c40b47ab55042bc6def7e3f583bd459f5c79fa5c","source":{"kind":"arxiv","id":"1011.4764","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.4764","created_at":"2026-05-18T04:27:16Z"},{"alias_kind":"arxiv_version","alias_value":"1011.4764v2","created_at":"2026-05-18T04:27:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.4764","created_at":"2026-05-18T04:27:16Z"},{"alias_kind":"pith_short_12","alias_value":"EI2JIU76JWN3","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"EI2JIU76JWN3PVTZ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"EI2JIU76","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:EI2JIU76JWN3PVTZW4B4IC2HVN","target":"record","payload":{"canonical_record":{"source":{"id":"1011.4764","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-11-22T10:21:33Z","cross_cats_sorted":["physics.chem-ph"],"title_canon_sha256":"d5edeeb981985e8979e97d0ff0c82181a39aea23d2c938c312cd06ff0114fca7","abstract_canon_sha256":"19ba82de66aea167e3b057b440ec1e3f6245dddf7023c9824e2ba954dbb70698"},"schema_version":"1.0"},"canonical_sha256":"22349453fe4d9bb7d679b703c40b47ab55042bc6def7e3f583bd459f5c79fa5c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:27:16.097427Z","signature_b64":"xsbvPzFDIW1avfMq7TXrBFNUrqsh46UL7Lk6YmGAuAqe8pol1C9LKyotlr/TlQOgF3MYrVsIcPOb2poAlVJ/Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22349453fe4d9bb7d679b703c40b47ab55042bc6def7e3f583bd459f5c79fa5c","last_reissued_at":"2026-05-18T04:27:16.096829Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:27:16.096829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.4764","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:27:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uumfZTY1zGozeobCd1JQ9OJNi5ZbfmJZM+qDwjqiKNN4WsW/bWyjf//YwmQj4SLXbbggNKBTJvJjXNlFo04mBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T13:58:16.228309Z"},"content_sha256":"0b73b8849ddcdbbe2c2f72eec73104a6e7edc98029c3541898a4a3c49c1c8fdc","schema_version":"1.0","event_id":"sha256:0b73b8849ddcdbbe2c2f72eec73104a6e7edc98029c3541898a4a3c49c1c8fdc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:EI2JIU76JWN3PVTZW4B4IC2HVN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Overlapping fragments method for electronic structure calculation of large systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.chem-ph"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Lin-Wang Wang, Nenad Vukmirovi\\'c","submitted_at":"2010-11-22T10:21:33Z","abstract_excerpt":"We present a method for the calculation of electronic structure of systems that contain tens of thousands of atoms. The method is based on the division of the system into mutually overlapping fragments and the representation of the single-particle Hamiltonian in the basis of eigenstates of these fragments. In practice, for the range of system size that we studied (up to tens of thousands of atoms), {the dominant part of the calculation scales} linearly with the size of the system when all the states within a fixed energy interval are required. The method is highly suitable for making good use "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.4764","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:27:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V32fyB9vC9Oi+t2Mh0EoqPOym3lwYnpRABjdFW5AZ/QSZN7oCKYKnc3LFvB8cRAtVPdY16Oybae7wldv+XaHAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T13:58:16.229049Z"},"content_sha256":"d72bae70ecabebec18698c64be2cf1dc4700c5d8e8fd3a523d355320518a3004","schema_version":"1.0","event_id":"sha256:d72bae70ecabebec18698c64be2cf1dc4700c5d8e8fd3a523d355320518a3004"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EI2JIU76JWN3PVTZW4B4IC2HVN/bundle.json","state_url":"https://pith.science/pith/EI2JIU76JWN3PVTZW4B4IC2HVN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EI2JIU76JWN3PVTZW4B4IC2HVN/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T13:58:16Z","links":{"resolver":"https://pith.science/pith/EI2JIU76JWN3PVTZW4B4IC2HVN","bundle":"https://pith.science/pith/EI2JIU76JWN3PVTZW4B4IC2HVN/bundle.json","state":"https://pith.science/pith/EI2JIU76JWN3PVTZW4B4IC2HVN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EI2JIU76JWN3PVTZW4B4IC2HVN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:EI2JIU76JWN3PVTZW4B4IC2HVN","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":"19ba82de66aea167e3b057b440ec1e3f6245dddf7023c9824e2ba954dbb70698","cross_cats_sorted":["physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-11-22T10:21:33Z","title_canon_sha256":"d5edeeb981985e8979e97d0ff0c82181a39aea23d2c938c312cd06ff0114fca7"},"schema_version":"1.0","source":{"id":"1011.4764","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.4764","created_at":"2026-05-18T04:27:16Z"},{"alias_kind":"arxiv_version","alias_value":"1011.4764v2","created_at":"2026-05-18T04:27:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.4764","created_at":"2026-05-18T04:27:16Z"},{"alias_kind":"pith_short_12","alias_value":"EI2JIU76JWN3","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"EI2JIU76JWN3PVTZ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"EI2JIU76","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:d72bae70ecabebec18698c64be2cf1dc4700c5d8e8fd3a523d355320518a3004","target":"graph","created_at":"2026-05-18T04:27:16Z","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"},"paper":{"abstract_excerpt":"We present a method for the calculation of electronic structure of systems that contain tens of thousands of atoms. The method is based on the division of the system into mutually overlapping fragments and the representation of the single-particle Hamiltonian in the basis of eigenstates of these fragments. In practice, for the range of system size that we studied (up to tens of thousands of atoms), {the dominant part of the calculation scales} linearly with the size of the system when all the states within a fixed energy interval are required. The method is highly suitable for making good use ","authors_text":"Lin-Wang Wang, Nenad Vukmirovi\\'c","cross_cats":["physics.chem-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-11-22T10:21:33Z","title":"Overlapping fragments method for electronic structure calculation of large systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.4764","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":"sha256:0b73b8849ddcdbbe2c2f72eec73104a6e7edc98029c3541898a4a3c49c1c8fdc","target":"record","created_at":"2026-05-18T04:27:16Z","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":"19ba82de66aea167e3b057b440ec1e3f6245dddf7023c9824e2ba954dbb70698","cross_cats_sorted":["physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-11-22T10:21:33Z","title_canon_sha256":"d5edeeb981985e8979e97d0ff0c82181a39aea23d2c938c312cd06ff0114fca7"},"schema_version":"1.0","source":{"id":"1011.4764","kind":"arxiv","version":2}},"canonical_sha256":"22349453fe4d9bb7d679b703c40b47ab55042bc6def7e3f583bd459f5c79fa5c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22349453fe4d9bb7d679b703c40b47ab55042bc6def7e3f583bd459f5c79fa5c","first_computed_at":"2026-05-18T04:27:16.096829Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:27:16.096829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xsbvPzFDIW1avfMq7TXrBFNUrqsh46UL7Lk6YmGAuAqe8pol1C9LKyotlr/TlQOgF3MYrVsIcPOb2poAlVJ/Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:27:16.097427Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.4764","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b73b8849ddcdbbe2c2f72eec73104a6e7edc98029c3541898a4a3c49c1c8fdc","sha256:d72bae70ecabebec18698c64be2cf1dc4700c5d8e8fd3a523d355320518a3004"],"state_sha256":"e68bb80b3ac0c5fb0863e4a6f434d3bbe02c1b5cdf94a6c5d791093f4b3174c5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BO++2T8wid8QZJCuucVucSyHtc18m+RRbtRQ3MsBnyt9FOe89atdQczx8OGnamxHk4ixnz1ojdK0+fYshs57DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T13:58:16.232491Z","bundle_sha256":"4a29df00f8765f6e50a96e1b2cbcc8497b3ab1204d53c824ad89e1ea30047dfc"}}