{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:N2RZZMBQF3J5A4Q2D6W7WJDMCI","short_pith_number":"pith:N2RZZMBQ","canonical_record":{"source":{"id":"1612.07532","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-12-22T10:40:07Z","cross_cats_sorted":[],"title_canon_sha256":"7d6bcc74f4073641b74f6f194ac261f48a038db1eafa846086415c344a17386d","abstract_canon_sha256":"5018990bd070e6c83fc5888a940f8c6a7f2775859977a797cc3da7f2cabd7acc"},"schema_version":"1.0"},"canonical_sha256":"6ea39cb0302ed3d0721a1fadfb246c123936ba7882ad8a589f0b48e124a23599","source":{"kind":"arxiv","id":"1612.07532","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.07532","created_at":"2026-05-18T00:54:09Z"},{"alias_kind":"arxiv_version","alias_value":"1612.07532v1","created_at":"2026-05-18T00:54:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.07532","created_at":"2026-05-18T00:54:09Z"},{"alias_kind":"pith_short_12","alias_value":"N2RZZMBQF3J5","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"N2RZZMBQF3J5A4Q2","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"N2RZZMBQ","created_at":"2026-05-18T12:30:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:N2RZZMBQF3J5A4Q2D6W7WJDMCI","target":"record","payload":{"canonical_record":{"source":{"id":"1612.07532","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-12-22T10:40:07Z","cross_cats_sorted":[],"title_canon_sha256":"7d6bcc74f4073641b74f6f194ac261f48a038db1eafa846086415c344a17386d","abstract_canon_sha256":"5018990bd070e6c83fc5888a940f8c6a7f2775859977a797cc3da7f2cabd7acc"},"schema_version":"1.0"},"canonical_sha256":"6ea39cb0302ed3d0721a1fadfb246c123936ba7882ad8a589f0b48e124a23599","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:09.826922Z","signature_b64":"ayrdFByL59ubEKN8YvUsEbSsvNsrtAvTroezxpwIhMKZxk8wB23JGoINAb/VxHp9htZJWOroP6ln1RCYmqknCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ea39cb0302ed3d0721a1fadfb246c123936ba7882ad8a589f0b48e124a23599","last_reissued_at":"2026-05-18T00:54:09.826228Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:09.826228Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.07532","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":"2026-05-18T00:54:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w+1O/fMaIBrV2ZsDd3wbmGNc9P8LcNrAK8gnYYtEm2HfCdqqm0Lkxj9NY3WaRLaFNpwLM65PWZm1KR01Z7VsAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:36:31.068713Z"},"content_sha256":"c7a0019b8a7705e5c9731a6b742a51d44bc683091ce269b0b75b5dc75e62102e","schema_version":"1.0","event_id":"sha256:c7a0019b8a7705e5c9731a6b742a51d44bc683091ce269b0b75b5dc75e62102e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:N2RZZMBQF3J5A4Q2D6W7WJDMCI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A posteriori error estimates for the one and one-half Dimensional Relativistic Vlasov-Maxwell system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Christoffer Standar, Mohammad Asadzadeh","submitted_at":"2016-12-22T10:40:07Z","abstract_excerpt":"This paper concerns a posteriori error analysis for the streamline diffusion (SD) finite element method for the one and one-half dimensional relativistic Vlasov-Maxwell system. The SD scheme yields a weak formulation, that corresponds to an add of extra diffusion to, e.g. the system of equations having hyperbolic nature, and convection-dominated convection diffusion problems. A procedure that improves the convergence of finite elements for this type of problems. The a posteriori error estimates relay on a dual problem formulation and yields an error control based on the, computable, residual o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.07532","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":"2026-05-18T00:54:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"REGxGJqQNQJrsjFX1Ch/ULUzichyyv53sPyVpKUMFciZz99e4+jOGziVPOFrF2JlMHPM9a3DsDmGx8v7p71sCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:36:31.069049Z"},"content_sha256":"a9eb8e7ff61efe9e68d7ecffccfb28339ccd59f9b2ed0ef6c8fd3a0167c5a59c","schema_version":"1.0","event_id":"sha256:a9eb8e7ff61efe9e68d7ecffccfb28339ccd59f9b2ed0ef6c8fd3a0167c5a59c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N2RZZMBQF3J5A4Q2D6W7WJDMCI/bundle.json","state_url":"https://pith.science/pith/N2RZZMBQF3J5A4Q2D6W7WJDMCI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N2RZZMBQF3J5A4Q2D6W7WJDMCI/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":"2026-06-23T15:36:31Z","links":{"resolver":"https://pith.science/pith/N2RZZMBQF3J5A4Q2D6W7WJDMCI","bundle":"https://pith.science/pith/N2RZZMBQF3J5A4Q2D6W7WJDMCI/bundle.json","state":"https://pith.science/pith/N2RZZMBQF3J5A4Q2D6W7WJDMCI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N2RZZMBQF3J5A4Q2D6W7WJDMCI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:N2RZZMBQF3J5A4Q2D6W7WJDMCI","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":"5018990bd070e6c83fc5888a940f8c6a7f2775859977a797cc3da7f2cabd7acc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-12-22T10:40:07Z","title_canon_sha256":"7d6bcc74f4073641b74f6f194ac261f48a038db1eafa846086415c344a17386d"},"schema_version":"1.0","source":{"id":"1612.07532","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.07532","created_at":"2026-05-18T00:54:09Z"},{"alias_kind":"arxiv_version","alias_value":"1612.07532v1","created_at":"2026-05-18T00:54:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.07532","created_at":"2026-05-18T00:54:09Z"},{"alias_kind":"pith_short_12","alias_value":"N2RZZMBQF3J5","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"N2RZZMBQF3J5A4Q2","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"N2RZZMBQ","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:a9eb8e7ff61efe9e68d7ecffccfb28339ccd59f9b2ed0ef6c8fd3a0167c5a59c","target":"graph","created_at":"2026-05-18T00:54:09Z","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":"This paper concerns a posteriori error analysis for the streamline diffusion (SD) finite element method for the one and one-half dimensional relativistic Vlasov-Maxwell system. The SD scheme yields a weak formulation, that corresponds to an add of extra diffusion to, e.g. the system of equations having hyperbolic nature, and convection-dominated convection diffusion problems. A procedure that improves the convergence of finite elements for this type of problems. The a posteriori error estimates relay on a dual problem formulation and yields an error control based on the, computable, residual o","authors_text":"Christoffer Standar, Mohammad Asadzadeh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-12-22T10:40:07Z","title":"A posteriori error estimates for the one and one-half Dimensional Relativistic Vlasov-Maxwell system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.07532","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:c7a0019b8a7705e5c9731a6b742a51d44bc683091ce269b0b75b5dc75e62102e","target":"record","created_at":"2026-05-18T00:54:09Z","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":"5018990bd070e6c83fc5888a940f8c6a7f2775859977a797cc3da7f2cabd7acc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-12-22T10:40:07Z","title_canon_sha256":"7d6bcc74f4073641b74f6f194ac261f48a038db1eafa846086415c344a17386d"},"schema_version":"1.0","source":{"id":"1612.07532","kind":"arxiv","version":1}},"canonical_sha256":"6ea39cb0302ed3d0721a1fadfb246c123936ba7882ad8a589f0b48e124a23599","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ea39cb0302ed3d0721a1fadfb246c123936ba7882ad8a589f0b48e124a23599","first_computed_at":"2026-05-18T00:54:09.826228Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:09.826228Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ayrdFByL59ubEKN8YvUsEbSsvNsrtAvTroezxpwIhMKZxk8wB23JGoINAb/VxHp9htZJWOroP6ln1RCYmqknCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:09.826922Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.07532","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7a0019b8a7705e5c9731a6b742a51d44bc683091ce269b0b75b5dc75e62102e","sha256:a9eb8e7ff61efe9e68d7ecffccfb28339ccd59f9b2ed0ef6c8fd3a0167c5a59c"],"state_sha256":"a50003536e5bb4b3bdb3945770dc97bdcb6024a7f4ed35c3e8f601d72e8a792d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EjSp6skTxGjz+oMtUJ77ctLScBzPLKjzw0AqS6nClx+WNCMy5Sv82glWU6MTB4jU9JKs/8gUKp2QTd6CLfaHCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T15:36:31.070858Z","bundle_sha256":"08e86e78a2450b1e6568d97aa0d154ec458f083fbd3f61b7aaa170d63cb0ccd8"}}