{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:ZLAXMUKUIZJQFYTPMUVO2NEE2M","short_pith_number":"pith:ZLAXMUKU","canonical_record":{"source":{"id":"1505.06535","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-05-25T03:56:47Z","cross_cats_sorted":[],"title_canon_sha256":"5f9102084a508af5c2ef16054f0859644c7f035e8b34b6f560a2772b7aaa72af","abstract_canon_sha256":"0345c8931b48d6483b47b7cfb6a2154321c0eb00c44d4175cf0493bb0073e602"},"schema_version":"1.0"},"canonical_sha256":"cac1765154465302e26f652aed3484d334e26ce0b2da746a0f2469777888f288","source":{"kind":"arxiv","id":"1505.06535","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.06535","created_at":"2026-05-18T01:31:38Z"},{"alias_kind":"arxiv_version","alias_value":"1505.06535v1","created_at":"2026-05-18T01:31:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.06535","created_at":"2026-05-18T01:31:38Z"},{"alias_kind":"pith_short_12","alias_value":"ZLAXMUKUIZJQ","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZLAXMUKUIZJQFYTP","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZLAXMUKU","created_at":"2026-05-18T12:29:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:ZLAXMUKUIZJQFYTPMUVO2NEE2M","target":"record","payload":{"canonical_record":{"source":{"id":"1505.06535","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-05-25T03:56:47Z","cross_cats_sorted":[],"title_canon_sha256":"5f9102084a508af5c2ef16054f0859644c7f035e8b34b6f560a2772b7aaa72af","abstract_canon_sha256":"0345c8931b48d6483b47b7cfb6a2154321c0eb00c44d4175cf0493bb0073e602"},"schema_version":"1.0"},"canonical_sha256":"cac1765154465302e26f652aed3484d334e26ce0b2da746a0f2469777888f288","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:31:38.847328Z","signature_b64":"rYDOx/o54a3XRA4+zo2bjouBqwipguiKKNgBPf50X9sSeHuQl7rpS+UHkUkPK/Tj4jpgKaDuhKXH/9+ItljhDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cac1765154465302e26f652aed3484d334e26ce0b2da746a0f2469777888f288","last_reissued_at":"2026-05-18T01:31:38.846758Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:31:38.846758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.06535","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:31:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3XADDwLEPbbWYmv8SS7aaXmcTSMosjE8j11P3F17PDvE2a5GnE4e8J7Zakv8GN4aiU+gahl2D6cKKEXsQ7LfAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T11:01:38.951871Z"},"content_sha256":"be1a155de7b6792771e70ae4129cb4a78c31963300f7da8698428c448a6eed76","schema_version":"1.0","event_id":"sha256:be1a155de7b6792771e70ae4129cb4a78c31963300f7da8698428c448a6eed76"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:ZLAXMUKUIZJQFYTPMUVO2NEE2M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"First-principles calculation method for electron transport based on grid Lippmann-Schwinger equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Kikuji Hirose, Shigeru Iwase, Shigeru Tsukamoto, Tomoya Ono, Yoshiyuki Egami","submitted_at":"2015-05-25T03:56:47Z","abstract_excerpt":"We develop a first-principles electron-transport simulator based on the Lippmann--Schwinger (LS) equation within the framework of the real-space finite-difference scheme. In our fully real-space based LS (grid LS) method, the ratio expression technique for the scattering wave functions and the Green's function elements of the reference system is employed to avoid numerical collapse. Furthermore, we present analytical expressions and/or prominent calculation procedures for the retarded Green's function, which are utilized in the grid LS approach. In order to demonstrate the performance of the g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.06535","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":""},"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":"2026-05-18T01:31:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vBYxHTGcCb2FCYY2wTEp6/4yz7SHkSpMMHGbXtXm2Xy2dZXbqAxKT61Ty5yylTwwi8fusig4iC0bO8TAMXgxCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T11:01:38.952579Z"},"content_sha256":"2cf5ed72622c824d1441f85ec3c37d29b34808918f65956ac192379e3477b097","schema_version":"1.0","event_id":"sha256:2cf5ed72622c824d1441f85ec3c37d29b34808918f65956ac192379e3477b097"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZLAXMUKUIZJQFYTPMUVO2NEE2M/bundle.json","state_url":"https://pith.science/pith/ZLAXMUKUIZJQFYTPMUVO2NEE2M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZLAXMUKUIZJQFYTPMUVO2NEE2M/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":"2026-06-07T11:01:38Z","links":{"resolver":"https://pith.science/pith/ZLAXMUKUIZJQFYTPMUVO2NEE2M","bundle":"https://pith.science/pith/ZLAXMUKUIZJQFYTPMUVO2NEE2M/bundle.json","state":"https://pith.science/pith/ZLAXMUKUIZJQFYTPMUVO2NEE2M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZLAXMUKUIZJQFYTPMUVO2NEE2M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZLAXMUKUIZJQFYTPMUVO2NEE2M","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":"0345c8931b48d6483b47b7cfb6a2154321c0eb00c44d4175cf0493bb0073e602","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-05-25T03:56:47Z","title_canon_sha256":"5f9102084a508af5c2ef16054f0859644c7f035e8b34b6f560a2772b7aaa72af"},"schema_version":"1.0","source":{"id":"1505.06535","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.06535","created_at":"2026-05-18T01:31:38Z"},{"alias_kind":"arxiv_version","alias_value":"1505.06535v1","created_at":"2026-05-18T01:31:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.06535","created_at":"2026-05-18T01:31:38Z"},{"alias_kind":"pith_short_12","alias_value":"ZLAXMUKUIZJQ","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZLAXMUKUIZJQFYTP","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZLAXMUKU","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:2cf5ed72622c824d1441f85ec3c37d29b34808918f65956ac192379e3477b097","target":"graph","created_at":"2026-05-18T01:31:38Z","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 develop a first-principles electron-transport simulator based on the Lippmann--Schwinger (LS) equation within the framework of the real-space finite-difference scheme. In our fully real-space based LS (grid LS) method, the ratio expression technique for the scattering wave functions and the Green's function elements of the reference system is employed to avoid numerical collapse. Furthermore, we present analytical expressions and/or prominent calculation procedures for the retarded Green's function, which are utilized in the grid LS approach. In order to demonstrate the performance of the g","authors_text":"Kikuji Hirose, Shigeru Iwase, Shigeru Tsukamoto, Tomoya Ono, Yoshiyuki Egami","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-05-25T03:56:47Z","title":"First-principles calculation method for electron transport based on grid Lippmann-Schwinger equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.06535","kind":"arxiv","version":1},"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:be1a155de7b6792771e70ae4129cb4a78c31963300f7da8698428c448a6eed76","target":"record","created_at":"2026-05-18T01:31:38Z","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":"0345c8931b48d6483b47b7cfb6a2154321c0eb00c44d4175cf0493bb0073e602","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-05-25T03:56:47Z","title_canon_sha256":"5f9102084a508af5c2ef16054f0859644c7f035e8b34b6f560a2772b7aaa72af"},"schema_version":"1.0","source":{"id":"1505.06535","kind":"arxiv","version":1}},"canonical_sha256":"cac1765154465302e26f652aed3484d334e26ce0b2da746a0f2469777888f288","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cac1765154465302e26f652aed3484d334e26ce0b2da746a0f2469777888f288","first_computed_at":"2026-05-18T01:31:38.846758Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:38.846758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rYDOx/o54a3XRA4+zo2bjouBqwipguiKKNgBPf50X9sSeHuQl7rpS+UHkUkPK/Tj4jpgKaDuhKXH/9+ItljhDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:38.847328Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.06535","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be1a155de7b6792771e70ae4129cb4a78c31963300f7da8698428c448a6eed76","sha256:2cf5ed72622c824d1441f85ec3c37d29b34808918f65956ac192379e3477b097"],"state_sha256":"301cea5aaac582d82780fece3d4eff2e36467e34ab651931379465ce88140c45"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"acTFJ3doxFWa2LsVmMszgEY0pApebddun6x40XX7/M3c6r4rm9dzmjlyyu0OOLrgE8dURMMoCBlYRqHjsf3rDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T11:01:38.956151Z","bundle_sha256":"7384fd9979d181deb2b944a5791026217b07b4c01e7bad764ab0395f4b51e157"}}