{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:J5FEC6RDLRJQVTNF2S3VJH6SGP","short_pith_number":"pith:J5FEC6RD","canonical_record":{"source":{"id":"1409.4313","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-09-15T16:33:16Z","cross_cats_sorted":[],"title_canon_sha256":"cd4ce0b64dded43b439abe7a040715b66adfb2f35ad98da6da592b74b58f8d70","abstract_canon_sha256":"76a658100a4d109af6137d87a58a84a095f7f3ff57eff521c2b42d4a32a9cb93"},"schema_version":"1.0"},"canonical_sha256":"4f4a417a235c530acda5d4b7549fd233d8dae5537f914641061ad86319bff6c9","source":{"kind":"arxiv","id":"1409.4313","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.4313","created_at":"2026-05-18T02:42:47Z"},{"alias_kind":"arxiv_version","alias_value":"1409.4313v1","created_at":"2026-05-18T02:42:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.4313","created_at":"2026-05-18T02:42:47Z"},{"alias_kind":"pith_short_12","alias_value":"J5FEC6RDLRJQ","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"J5FEC6RDLRJQVTNF","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"J5FEC6RD","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:J5FEC6RDLRJQVTNF2S3VJH6SGP","target":"record","payload":{"canonical_record":{"source":{"id":"1409.4313","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-09-15T16:33:16Z","cross_cats_sorted":[],"title_canon_sha256":"cd4ce0b64dded43b439abe7a040715b66adfb2f35ad98da6da592b74b58f8d70","abstract_canon_sha256":"76a658100a4d109af6137d87a58a84a095f7f3ff57eff521c2b42d4a32a9cb93"},"schema_version":"1.0"},"canonical_sha256":"4f4a417a235c530acda5d4b7549fd233d8dae5537f914641061ad86319bff6c9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:47.083294Z","signature_b64":"ObiIEQFD2P43S1Hie1rQf4+eiANYCfrVRqQSWZKME40TxkdPMCIZRTcTeX84JfnZd0d49pYe/VHTaAEfNVTbAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f4a417a235c530acda5d4b7549fd233d8dae5537f914641061ad86319bff6c9","last_reissued_at":"2026-05-18T02:42:47.082863Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:47.082863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.4313","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":"2026-05-18T02:42:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S5Ph8cvkiwvZ1NjjHADBny8f8cEf5B/bfBQIcl8mQZ+h3thgX47wnonbRocSci14moj83UJ3OVUCtypbBdtsAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T09:51:14.910589Z"},"content_sha256":"a50c58975871be073d8c9215bebad1e32153934d9d1f4102c4ef8673bc3b5901","schema_version":"1.0","event_id":"sha256:a50c58975871be073d8c9215bebad1e32153934d9d1f4102c4ef8673bc3b5901"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:J5FEC6RDLRJQVTNF2S3VJH6SGP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Adaptive discontinuous Galerkin methods for non-linear diffusion-convection-reaction equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"B\\\"ulent Karas\\\"ozen, Murat Manguo\\u{g}lu, Murat Uzunca","submitted_at":"2014-09-15T16:33:16Z","abstract_excerpt":"In this work, we apply the adaptive discontinuous Galerkin (DGAFEM) method to the convection dominated non-linear, quasi-stationary diffusion-convection-reaction equations. We propose an efficient preconditioner using a matrix reordering scheme to solve the sparse linear systems iteratively arising from the discretized non-linear equations. Numerical examples demonstrate effectiveness of the DGAFEM to damp the spurious oscillations and resolve well the sharp layers occurring in convection dominated non-linear equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.4313","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":"2026-05-18T02:42:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bxnbTErqg+C/spplrPDtDTby1/72D9+wRKHpQxRPr4wjsfoUzBEiiP4TqLLrHMulF6NAKEqZSlauWVJZZWEuCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T09:51:14.910933Z"},"content_sha256":"69d1bb2431a70e6b7902f2bf3e13aa98e99c898c8553a7a4c5f9c0e707bff4e6","schema_version":"1.0","event_id":"sha256:69d1bb2431a70e6b7902f2bf3e13aa98e99c898c8553a7a4c5f9c0e707bff4e6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J5FEC6RDLRJQVTNF2S3VJH6SGP/bundle.json","state_url":"https://pith.science/pith/J5FEC6RDLRJQVTNF2S3VJH6SGP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J5FEC6RDLRJQVTNF2S3VJH6SGP/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":"2026-06-25T09:51:14Z","links":{"resolver":"https://pith.science/pith/J5FEC6RDLRJQVTNF2S3VJH6SGP","bundle":"https://pith.science/pith/J5FEC6RDLRJQVTNF2S3VJH6SGP/bundle.json","state":"https://pith.science/pith/J5FEC6RDLRJQVTNF2S3VJH6SGP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J5FEC6RDLRJQVTNF2S3VJH6SGP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:J5FEC6RDLRJQVTNF2S3VJH6SGP","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":"76a658100a4d109af6137d87a58a84a095f7f3ff57eff521c2b42d4a32a9cb93","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-09-15T16:33:16Z","title_canon_sha256":"cd4ce0b64dded43b439abe7a040715b66adfb2f35ad98da6da592b74b58f8d70"},"schema_version":"1.0","source":{"id":"1409.4313","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.4313","created_at":"2026-05-18T02:42:47Z"},{"alias_kind":"arxiv_version","alias_value":"1409.4313v1","created_at":"2026-05-18T02:42:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.4313","created_at":"2026-05-18T02:42:47Z"},{"alias_kind":"pith_short_12","alias_value":"J5FEC6RDLRJQ","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"J5FEC6RDLRJQVTNF","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"J5FEC6RD","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:69d1bb2431a70e6b7902f2bf3e13aa98e99c898c8553a7a4c5f9c0e707bff4e6","target":"graph","created_at":"2026-05-18T02:42:47Z","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":"In this work, we apply the adaptive discontinuous Galerkin (DGAFEM) method to the convection dominated non-linear, quasi-stationary diffusion-convection-reaction equations. We propose an efficient preconditioner using a matrix reordering scheme to solve the sparse linear systems iteratively arising from the discretized non-linear equations. Numerical examples demonstrate effectiveness of the DGAFEM to damp the spurious oscillations and resolve well the sharp layers occurring in convection dominated non-linear equations.","authors_text":"B\\\"ulent Karas\\\"ozen, Murat Manguo\\u{g}lu, Murat Uzunca","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-09-15T16:33:16Z","title":"Adaptive discontinuous Galerkin methods for non-linear diffusion-convection-reaction equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.4313","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:a50c58975871be073d8c9215bebad1e32153934d9d1f4102c4ef8673bc3b5901","target":"record","created_at":"2026-05-18T02:42:47Z","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":"76a658100a4d109af6137d87a58a84a095f7f3ff57eff521c2b42d4a32a9cb93","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-09-15T16:33:16Z","title_canon_sha256":"cd4ce0b64dded43b439abe7a040715b66adfb2f35ad98da6da592b74b58f8d70"},"schema_version":"1.0","source":{"id":"1409.4313","kind":"arxiv","version":1}},"canonical_sha256":"4f4a417a235c530acda5d4b7549fd233d8dae5537f914641061ad86319bff6c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f4a417a235c530acda5d4b7549fd233d8dae5537f914641061ad86319bff6c9","first_computed_at":"2026-05-18T02:42:47.082863Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:47.082863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ObiIEQFD2P43S1Hie1rQf4+eiANYCfrVRqQSWZKME40TxkdPMCIZRTcTeX84JfnZd0d49pYe/VHTaAEfNVTbAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:47.083294Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.4313","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a50c58975871be073d8c9215bebad1e32153934d9d1f4102c4ef8673bc3b5901","sha256:69d1bb2431a70e6b7902f2bf3e13aa98e99c898c8553a7a4c5f9c0e707bff4e6"],"state_sha256":"a62e5f67045e8a33078e8871bc66b2358cf015b496433f80421bb6060e6a80cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2AapS1wmuVi3dtL0655bLbOj1UyTBAj4D7zJHi5TAlEKc+GQDPYFbAzG4xcWzQhvu3sjb2irY7BihAJkZvu5CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T09:51:14.912980Z","bundle_sha256":"6f0f39d47ec7097744569eadbc80ee9005ce1f8d2ef9649a2348b5c9ca815d35"}}