{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:BETHHPU36TTAE7GQIGD6Y67JXH","short_pith_number":"pith:BETHHPU3","schema_version":"1.0","canonical_sha256":"092673be9bf4e6027cd04187ec7be9b9e51e9279d3cdce5060e2901ae1850c0c","source":{"kind":"arxiv","id":"1712.07317","version":1},"attestation_state":"computed","paper":{"title":"B\\\"uttiker probes and the Recursive Green's Function; an efficient approach to include dissipation in general configurations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Jared H. Cole, Jesse A. Vaitkus","submitted_at":"2017-12-20T04:30:53Z","abstract_excerpt":"An efficient and compact approach to the inclusion of dissipative effects in Non-Equilibrium Green's Function (NEGF) simulations of electronic systems is introduced. The algorithm is based on two well known methods in the literature, firstly that of the so-called Recursive Green's Function (RGF) and secondly that of B\\\"uttiker probes. Numerical methods for exact evaluation of the Jacobian are presented by a direct extension to RGF which can be modularly included in any codebase that uses it presently. Then using both physical observations and numerical methods, the computation time of the B\\\"u"},"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":"1712.07317","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-12-20T04:30:53Z","cross_cats_sorted":[],"title_canon_sha256":"86720033a951893825ef892e9469566fba9f23777dbcca4d6f5344a299e81744","abstract_canon_sha256":"8f76fd270026d0bbb21b6d544ce95e27391ca3feed310f4f166da6426fd663cc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:52.124145Z","signature_b64":"OlvchBw8JyDCAdEy2AU+LDAWcDV73lE0RccqCwbRf/MIOTEIt1khOTaIBhsaBo6F5hLB6M4y6vSsVOG37B7tDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"092673be9bf4e6027cd04187ec7be9b9e51e9279d3cdce5060e2901ae1850c0c","last_reissued_at":"2026-05-18T00:21:52.123560Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:52.123560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"B\\\"uttiker probes and the Recursive Green's Function; an efficient approach to include dissipation in general configurations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Jared H. Cole, Jesse A. Vaitkus","submitted_at":"2017-12-20T04:30:53Z","abstract_excerpt":"An efficient and compact approach to the inclusion of dissipative effects in Non-Equilibrium Green's Function (NEGF) simulations of electronic systems is introduced. The algorithm is based on two well known methods in the literature, firstly that of the so-called Recursive Green's Function (RGF) and secondly that of B\\\"uttiker probes. Numerical methods for exact evaluation of the Jacobian are presented by a direct extension to RGF which can be modularly included in any codebase that uses it presently. Then using both physical observations and numerical methods, the computation time of the B\\\"u"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.07317","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1712.07317","created_at":"2026-05-18T00:21:52.123651+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.07317v1","created_at":"2026-05-18T00:21:52.123651+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.07317","created_at":"2026-05-18T00:21:52.123651+00:00"},{"alias_kind":"pith_short_12","alias_value":"BETHHPU36TTA","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_16","alias_value":"BETHHPU36TTAE7GQ","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_8","alias_value":"BETHHPU3","created_at":"2026-05-18T12:31:08.081275+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/BETHHPU36TTAE7GQIGD6Y67JXH","json":"https://pith.science/pith/BETHHPU36TTAE7GQIGD6Y67JXH.json","graph_json":"https://pith.science/api/pith-number/BETHHPU36TTAE7GQIGD6Y67JXH/graph.json","events_json":"https://pith.science/api/pith-number/BETHHPU36TTAE7GQIGD6Y67JXH/events.json","paper":"https://pith.science/paper/BETHHPU3"},"agent_actions":{"view_html":"https://pith.science/pith/BETHHPU36TTAE7GQIGD6Y67JXH","download_json":"https://pith.science/pith/BETHHPU36TTAE7GQIGD6Y67JXH.json","view_paper":"https://pith.science/paper/BETHHPU3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.07317&json=true","fetch_graph":"https://pith.science/api/pith-number/BETHHPU36TTAE7GQIGD6Y67JXH/graph.json","fetch_events":"https://pith.science/api/pith-number/BETHHPU36TTAE7GQIGD6Y67JXH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BETHHPU36TTAE7GQIGD6Y67JXH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BETHHPU36TTAE7GQIGD6Y67JXH/action/storage_attestation","attest_author":"https://pith.science/pith/BETHHPU36TTAE7GQIGD6Y67JXH/action/author_attestation","sign_citation":"https://pith.science/pith/BETHHPU36TTAE7GQIGD6Y67JXH/action/citation_signature","submit_replication":"https://pith.science/pith/BETHHPU36TTAE7GQIGD6Y67JXH/action/replication_record"}},"created_at":"2026-05-18T00:21:52.123651+00:00","updated_at":"2026-05-18T00:21:52.123651+00:00"}