{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:5IAJINVO5TSZBALPRRRGMTXM6V","short_pith_number":"pith:5IAJINVO","canonical_record":{"source":{"id":"1208.3365","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2012-08-16T13:41:36Z","cross_cats_sorted":[],"title_canon_sha256":"d469f44dc7de35b5c9a647efc7b9bde83c203976ed7f9ce35f745b356dd0a5f9","abstract_canon_sha256":"ae20938d691dc67f1d09da6397a5c75f52e63a934b9dc48bf65d0bc9607d71db"},"schema_version":"1.0"},"canonical_sha256":"ea009436aeece590816f8c62664eecf55cc132a9480d4834ddfc109d8b067add","source":{"kind":"arxiv","id":"1208.3365","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.3365","created_at":"2026-05-18T03:38:43Z"},{"alias_kind":"arxiv_version","alias_value":"1208.3365v2","created_at":"2026-05-18T03:38:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3365","created_at":"2026-05-18T03:38:43Z"},{"alias_kind":"pith_short_12","alias_value":"5IAJINVO5TSZ","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"5IAJINVO5TSZBALP","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"5IAJINVO","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:5IAJINVO5TSZBALPRRRGMTXM6V","target":"record","payload":{"canonical_record":{"source":{"id":"1208.3365","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2012-08-16T13:41:36Z","cross_cats_sorted":[],"title_canon_sha256":"d469f44dc7de35b5c9a647efc7b9bde83c203976ed7f9ce35f745b356dd0a5f9","abstract_canon_sha256":"ae20938d691dc67f1d09da6397a5c75f52e63a934b9dc48bf65d0bc9607d71db"},"schema_version":"1.0"},"canonical_sha256":"ea009436aeece590816f8c62664eecf55cc132a9480d4834ddfc109d8b067add","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:43.644476Z","signature_b64":"7TgoMDXZ9RoHumNKnYH8gNQM2o6MvmwkG28jUNbQewM5s9/8nhVkQqMjmuUJkvLif7YdUi2OZFln6JiJzxcJDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea009436aeece590816f8c62664eecf55cc132a9480d4834ddfc109d8b067add","last_reissued_at":"2026-05-18T03:38:43.643821Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:43.643821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.3365","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":"2026-05-18T03:38:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BsrosZkFS06wKRdwoDe77r/gbs35xUlxPDHXOlpVITYGsoY6ppgCkagTf8ZwHVDKZWSLH5sHbzHPIESxogyNDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T23:31:30.570350Z"},"content_sha256":"830452159b05ea3d1cd0f81873a2c452260db43edb9e98647ff7c2a3ed70a169","schema_version":"1.0","event_id":"sha256:830452159b05ea3d1cd0f81873a2c452260db43edb9e98647ff7c2a3ed70a169"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:5IAJINVO5TSZBALPRRRGMTXM6V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Numerical simulation of organic semiconductor devices with high carrier densities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"A. Badinski, C. K. F. Weiler, R. M. Lee, S. Stodtmann","submitted_at":"2012-08-16T13:41:36Z","abstract_excerpt":"We give a full description of the numerical solution of a general charge transport model for doped disordered semiconductors with arbitrary field- and density-dependent mobilities. We propose a suitable scaling scheme and generalize the Gummel iterative procedure, giving both the discretization and linearization of the van Roosbroeck equations for the case when the generalized Einstein relation holds. We show that conventional iterations are unstable for problems with high doping, whereas the generalized scheme converges. The method also offers a significant increase in efficiency when the inj"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3365","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":"2026-05-18T03:38:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7WfbxE5Qa31UD6gfMUYdIbxdZ/sSk0dwnWQnOduC6zF1lsEyCucPCUtB8X8HjTUJ6yPzXGRIRVB9KhuZo4AaAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T23:31:30.571017Z"},"content_sha256":"5b8edf310a62064159664ec5677446e8276230d85f8a5c189e4f14f6f768a01b","schema_version":"1.0","event_id":"sha256:5b8edf310a62064159664ec5677446e8276230d85f8a5c189e4f14f6f768a01b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5IAJINVO5TSZBALPRRRGMTXM6V/bundle.json","state_url":"https://pith.science/pith/5IAJINVO5TSZBALPRRRGMTXM6V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5IAJINVO5TSZBALPRRRGMTXM6V/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":"2026-05-30T23:31:30Z","links":{"resolver":"https://pith.science/pith/5IAJINVO5TSZBALPRRRGMTXM6V","bundle":"https://pith.science/pith/5IAJINVO5TSZBALPRRRGMTXM6V/bundle.json","state":"https://pith.science/pith/5IAJINVO5TSZBALPRRRGMTXM6V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5IAJINVO5TSZBALPRRRGMTXM6V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:5IAJINVO5TSZBALPRRRGMTXM6V","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":"ae20938d691dc67f1d09da6397a5c75f52e63a934b9dc48bf65d0bc9607d71db","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2012-08-16T13:41:36Z","title_canon_sha256":"d469f44dc7de35b5c9a647efc7b9bde83c203976ed7f9ce35f745b356dd0a5f9"},"schema_version":"1.0","source":{"id":"1208.3365","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.3365","created_at":"2026-05-18T03:38:43Z"},{"alias_kind":"arxiv_version","alias_value":"1208.3365v2","created_at":"2026-05-18T03:38:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3365","created_at":"2026-05-18T03:38:43Z"},{"alias_kind":"pith_short_12","alias_value":"5IAJINVO5TSZ","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"5IAJINVO5TSZBALP","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"5IAJINVO","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:5b8edf310a62064159664ec5677446e8276230d85f8a5c189e4f14f6f768a01b","target":"graph","created_at":"2026-05-18T03:38:43Z","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 give a full description of the numerical solution of a general charge transport model for doped disordered semiconductors with arbitrary field- and density-dependent mobilities. We propose a suitable scaling scheme and generalize the Gummel iterative procedure, giving both the discretization and linearization of the van Roosbroeck equations for the case when the generalized Einstein relation holds. We show that conventional iterations are unstable for problems with high doping, whereas the generalized scheme converges. The method also offers a significant increase in efficiency when the inj","authors_text":"A. Badinski, C. K. F. Weiler, R. M. Lee, S. Stodtmann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2012-08-16T13:41:36Z","title":"Numerical simulation of organic semiconductor devices with high carrier densities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3365","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":"sha256:830452159b05ea3d1cd0f81873a2c452260db43edb9e98647ff7c2a3ed70a169","target":"record","created_at":"2026-05-18T03:38:43Z","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":"ae20938d691dc67f1d09da6397a5c75f52e63a934b9dc48bf65d0bc9607d71db","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2012-08-16T13:41:36Z","title_canon_sha256":"d469f44dc7de35b5c9a647efc7b9bde83c203976ed7f9ce35f745b356dd0a5f9"},"schema_version":"1.0","source":{"id":"1208.3365","kind":"arxiv","version":2}},"canonical_sha256":"ea009436aeece590816f8c62664eecf55cc132a9480d4834ddfc109d8b067add","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea009436aeece590816f8c62664eecf55cc132a9480d4834ddfc109d8b067add","first_computed_at":"2026-05-18T03:38:43.643821Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:38:43.643821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7TgoMDXZ9RoHumNKnYH8gNQM2o6MvmwkG28jUNbQewM5s9/8nhVkQqMjmuUJkvLif7YdUi2OZFln6JiJzxcJDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:38:43.644476Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.3365","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:830452159b05ea3d1cd0f81873a2c452260db43edb9e98647ff7c2a3ed70a169","sha256:5b8edf310a62064159664ec5677446e8276230d85f8a5c189e4f14f6f768a01b"],"state_sha256":"8b7b4e64070bf94b3fb84dff0dbd3238021680bb316048e0834377b83d0d1e1d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2fQw7qJik/sdRq3k+apcbUuEuWhnH8ZNmqsfKeq9irEcvBj79Qzkz3TVpvF1cyob4KiDTQPGpFIrqtVOC1d7CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T23:31:30.574748Z","bundle_sha256":"9156c35f314c308303e7ad1de7a7e29f0dcaf53783b9eba458c2438e71da76ce"}}