{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:MFY6J3KQTU3XCZCQAVDA7YVRO7","short_pith_number":"pith:MFY6J3KQ","canonical_record":{"source":{"id":"1206.5722","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-06-25T16:05:57Z","cross_cats_sorted":[],"title_canon_sha256":"3baa8f0ffa949539db41e29d83ed6edd2c48014c0bbf70e2f797e5aa5bbcc725","abstract_canon_sha256":"165127a3bcc77676367e054488c6b425e296a4366e4475000c363abce18ae8ce"},"schema_version":"1.0"},"canonical_sha256":"6171e4ed509d3771645005460fe2b177f573da3d996a2a11b911bf4eed8ae94a","source":{"kind":"arxiv","id":"1206.5722","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.5722","created_at":"2026-05-18T03:52:39Z"},{"alias_kind":"arxiv_version","alias_value":"1206.5722v1","created_at":"2026-05-18T03:52:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.5722","created_at":"2026-05-18T03:52:39Z"},{"alias_kind":"pith_short_12","alias_value":"MFY6J3KQTU3X","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MFY6J3KQTU3XCZCQ","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MFY6J3KQ","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:MFY6J3KQTU3XCZCQAVDA7YVRO7","target":"record","payload":{"canonical_record":{"source":{"id":"1206.5722","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-06-25T16:05:57Z","cross_cats_sorted":[],"title_canon_sha256":"3baa8f0ffa949539db41e29d83ed6edd2c48014c0bbf70e2f797e5aa5bbcc725","abstract_canon_sha256":"165127a3bcc77676367e054488c6b425e296a4366e4475000c363abce18ae8ce"},"schema_version":"1.0"},"canonical_sha256":"6171e4ed509d3771645005460fe2b177f573da3d996a2a11b911bf4eed8ae94a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:52:39.263110Z","signature_b64":"wjluQE4o+qqHh46ThRaJcWE4m9HJs8BW6Iua0okYqBup51Atnei2jOWhC1LeqLnD9cq9ByK0byzfAeEHnxlBCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6171e4ed509d3771645005460fe2b177f573da3d996a2a11b911bf4eed8ae94a","last_reissued_at":"2026-05-18T03:52:39.262567Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:52:39.262567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.5722","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":"2026-05-18T03:52:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HsjnmwQ71kqsx1L0GxHiGirz47mBev9XgNkAvQ9HhV4rTq11Dp4PYMtvJ0F5JUf3v5ToBtD2k8YSYYNyV/ybDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:53:11.003730Z"},"content_sha256":"aeac3a6f181ca394c03bdf2d9036dba5629bd2851258d40de83d4d27c46afbd8","schema_version":"1.0","event_id":"sha256:aeac3a6f181ca394c03bdf2d9036dba5629bd2851258d40de83d4d27c46afbd8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:MFY6J3KQTU3XCZCQAVDA7YVRO7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Existence analysis for a simplified transient energy-transport model for semiconductors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ansgar J\\\"ungel, Elisa R\\\"ohrig, Ren\\'e Pinnau","submitted_at":"2012-06-25T16:05:57Z","abstract_excerpt":"A simplified transient energy-transport system for semiconductors subject to mixed Dirichlet-Neumann boundary conditions is analyzed. The model is formally derived from the non-isothermal hydrodynamic equations in a particular vanishing momentum relaxation limit. It consists of a drift-diffusion-type equation for the electron density, involving temperature gradients, a nonlinear heat equation for the electron temperature, and the Poisson equation for the electric potential. The global-in-time existence of bounded weak solutions is proved. The proof is based on the Stampacchia truncation method"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.5722","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":"2026-05-18T03:52:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"znddOiiSsA+Vnkz20jbrklH/qEgVRQLk/LLT3DZNG7HWfVfQcX40Ernbyt8Pe2B2y+3L+q7c7gBLoONsMWU3AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:53:11.004089Z"},"content_sha256":"8d60c046a527f19eaa95fc4223f77493367a0afab5b845f1f4d9f4e4f1fb4149","schema_version":"1.0","event_id":"sha256:8d60c046a527f19eaa95fc4223f77493367a0afab5b845f1f4d9f4e4f1fb4149"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MFY6J3KQTU3XCZCQAVDA7YVRO7/bundle.json","state_url":"https://pith.science/pith/MFY6J3KQTU3XCZCQAVDA7YVRO7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MFY6J3KQTU3XCZCQAVDA7YVRO7/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":"2026-06-02T15:53:11Z","links":{"resolver":"https://pith.science/pith/MFY6J3KQTU3XCZCQAVDA7YVRO7","bundle":"https://pith.science/pith/MFY6J3KQTU3XCZCQAVDA7YVRO7/bundle.json","state":"https://pith.science/pith/MFY6J3KQTU3XCZCQAVDA7YVRO7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MFY6J3KQTU3XCZCQAVDA7YVRO7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:MFY6J3KQTU3XCZCQAVDA7YVRO7","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":"165127a3bcc77676367e054488c6b425e296a4366e4475000c363abce18ae8ce","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-06-25T16:05:57Z","title_canon_sha256":"3baa8f0ffa949539db41e29d83ed6edd2c48014c0bbf70e2f797e5aa5bbcc725"},"schema_version":"1.0","source":{"id":"1206.5722","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.5722","created_at":"2026-05-18T03:52:39Z"},{"alias_kind":"arxiv_version","alias_value":"1206.5722v1","created_at":"2026-05-18T03:52:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.5722","created_at":"2026-05-18T03:52:39Z"},{"alias_kind":"pith_short_12","alias_value":"MFY6J3KQTU3X","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MFY6J3KQTU3XCZCQ","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MFY6J3KQ","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:8d60c046a527f19eaa95fc4223f77493367a0afab5b845f1f4d9f4e4f1fb4149","target":"graph","created_at":"2026-05-18T03:52:39Z","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":"A simplified transient energy-transport system for semiconductors subject to mixed Dirichlet-Neumann boundary conditions is analyzed. The model is formally derived from the non-isothermal hydrodynamic equations in a particular vanishing momentum relaxation limit. It consists of a drift-diffusion-type equation for the electron density, involving temperature gradients, a nonlinear heat equation for the electron temperature, and the Poisson equation for the electric potential. The global-in-time existence of bounded weak solutions is proved. The proof is based on the Stampacchia truncation method","authors_text":"Ansgar J\\\"ungel, Elisa R\\\"ohrig, Ren\\'e Pinnau","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-06-25T16:05:57Z","title":"Existence analysis for a simplified transient energy-transport model for semiconductors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.5722","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:aeac3a6f181ca394c03bdf2d9036dba5629bd2851258d40de83d4d27c46afbd8","target":"record","created_at":"2026-05-18T03:52:39Z","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":"165127a3bcc77676367e054488c6b425e296a4366e4475000c363abce18ae8ce","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-06-25T16:05:57Z","title_canon_sha256":"3baa8f0ffa949539db41e29d83ed6edd2c48014c0bbf70e2f797e5aa5bbcc725"},"schema_version":"1.0","source":{"id":"1206.5722","kind":"arxiv","version":1}},"canonical_sha256":"6171e4ed509d3771645005460fe2b177f573da3d996a2a11b911bf4eed8ae94a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6171e4ed509d3771645005460fe2b177f573da3d996a2a11b911bf4eed8ae94a","first_computed_at":"2026-05-18T03:52:39.262567Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:52:39.262567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wjluQE4o+qqHh46ThRaJcWE4m9HJs8BW6Iua0okYqBup51Atnei2jOWhC1LeqLnD9cq9ByK0byzfAeEHnxlBCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:52:39.263110Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.5722","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aeac3a6f181ca394c03bdf2d9036dba5629bd2851258d40de83d4d27c46afbd8","sha256:8d60c046a527f19eaa95fc4223f77493367a0afab5b845f1f4d9f4e4f1fb4149"],"state_sha256":"62d9bbbd098a80bceadf75e99ea7d1096fd62a83281a7557b8abb7ff3b621e21"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ku86FTsPssm0bkUQTZBSDdAqser+rBdVg+2MP/xJZDQCdh4FNmO86rxvHrK70UWrKAjhNGzIiAiegpvVkQy0Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T15:53:11.006042Z","bundle_sha256":"1e7a195b13e5f0a97b40e4b8941c154a54c5e422470ab042e623622b0f00f711"}}