{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:EOBMXRLJV7MYZ6BURFXLQOM27Z","short_pith_number":"pith:EOBMXRLJ","canonical_record":{"source":{"id":"1601.06351","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-01-24T07:18:47Z","cross_cats_sorted":[],"title_canon_sha256":"fe36bf2c233877c35e47b4828bceae636dd82552db22285fbd331dbcab433849","abstract_canon_sha256":"7914203a3b97ee5d4c20823340e4903c7a3a35d6bdaacb08f258de496cec78fd"},"schema_version":"1.0"},"canonical_sha256":"2382cbc569afd98cf834896eb8399afe530f77a4d50f75191d627807ba223a6c","source":{"kind":"arxiv","id":"1601.06351","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.06351","created_at":"2026-05-18T01:17:50Z"},{"alias_kind":"arxiv_version","alias_value":"1601.06351v2","created_at":"2026-05-18T01:17:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.06351","created_at":"2026-05-18T01:17:50Z"},{"alias_kind":"pith_short_12","alias_value":"EOBMXRLJV7MY","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"EOBMXRLJV7MYZ6BU","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"EOBMXRLJ","created_at":"2026-05-18T12:30:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:EOBMXRLJV7MYZ6BURFXLQOM27Z","target":"record","payload":{"canonical_record":{"source":{"id":"1601.06351","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-01-24T07:18:47Z","cross_cats_sorted":[],"title_canon_sha256":"fe36bf2c233877c35e47b4828bceae636dd82552db22285fbd331dbcab433849","abstract_canon_sha256":"7914203a3b97ee5d4c20823340e4903c7a3a35d6bdaacb08f258de496cec78fd"},"schema_version":"1.0"},"canonical_sha256":"2382cbc569afd98cf834896eb8399afe530f77a4d50f75191d627807ba223a6c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:50.296903Z","signature_b64":"SLYAcrTEoSIrnomMzTzBRv43oArfz4Ofoj/q6XdkD6gHwNIOpci6fGtkj5637ujNgdkjKUO5T0aqYv1hahAfDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2382cbc569afd98cf834896eb8399afe530f77a4d50f75191d627807ba223a6c","last_reissued_at":"2026-05-18T01:17:50.296184Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:50.296184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.06351","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":"2026-05-18T01:17:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"km9vwJ82KXujmNsFrWcwHA3VrihN42rO4KFa5brgkvSaj1XPaysZ+aejghh6U1JUOgJwtyngbq21GEMX3TFIAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:38:12.598189Z"},"content_sha256":"e3d4fab8c8c8f2de7a2979881f57bf570a7098adc4cc3072ecb529793dc9297a","schema_version":"1.0","event_id":"sha256:e3d4fab8c8c8f2de7a2979881f57bf570a7098adc4cc3072ecb529793dc9297a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:EOBMXRLJV7MYZ6BURFXLQOM27Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Arbitrary Dimension Convection-Diffusion Schemes for Space-Time Discretizations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Ludmil T. Zikatanov, Panayot S. Vassilevski, Randolph E. Bank","submitted_at":"2016-01-24T07:18:47Z","abstract_excerpt":"This note proposes embedding a time dependent PDE into a convection-diffusion type PDE (in one space dimension higher) with singularity, for which two discretization schemes, the classical streamline-diffusion and the EAFE (edge average finite element) one, are investigated in terms of stability and error analysis. The EAFE scheme, in particular, is extended to be arbitrary order which is of interest on its own. Numerical results, in combined space-time domain demonstrate the feasibility of the proposed approach."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.06351","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":"2026-05-18T01:17:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gFSUD6vDRtAZ9jJwoCiukl1Eynrv2Q9dbqqfF84EixUzAdvJqJa3PDx5IoQ9HRm9508xs03tjx+fRtCqG12RBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:38:12.598734Z"},"content_sha256":"d1e526672e7f924a41c30f7016552e028b94267a70a93c857b9a20f8ea5781a4","schema_version":"1.0","event_id":"sha256:d1e526672e7f924a41c30f7016552e028b94267a70a93c857b9a20f8ea5781a4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EOBMXRLJV7MYZ6BURFXLQOM27Z/bundle.json","state_url":"https://pith.science/pith/EOBMXRLJV7MYZ6BURFXLQOM27Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EOBMXRLJV7MYZ6BURFXLQOM27Z/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":"2026-06-01T19:38:12Z","links":{"resolver":"https://pith.science/pith/EOBMXRLJV7MYZ6BURFXLQOM27Z","bundle":"https://pith.science/pith/EOBMXRLJV7MYZ6BURFXLQOM27Z/bundle.json","state":"https://pith.science/pith/EOBMXRLJV7MYZ6BURFXLQOM27Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EOBMXRLJV7MYZ6BURFXLQOM27Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:EOBMXRLJV7MYZ6BURFXLQOM27Z","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":"7914203a3b97ee5d4c20823340e4903c7a3a35d6bdaacb08f258de496cec78fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-01-24T07:18:47Z","title_canon_sha256":"fe36bf2c233877c35e47b4828bceae636dd82552db22285fbd331dbcab433849"},"schema_version":"1.0","source":{"id":"1601.06351","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.06351","created_at":"2026-05-18T01:17:50Z"},{"alias_kind":"arxiv_version","alias_value":"1601.06351v2","created_at":"2026-05-18T01:17:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.06351","created_at":"2026-05-18T01:17:50Z"},{"alias_kind":"pith_short_12","alias_value":"EOBMXRLJV7MY","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"EOBMXRLJV7MYZ6BU","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"EOBMXRLJ","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:d1e526672e7f924a41c30f7016552e028b94267a70a93c857b9a20f8ea5781a4","target":"graph","created_at":"2026-05-18T01:17:50Z","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 note proposes embedding a time dependent PDE into a convection-diffusion type PDE (in one space dimension higher) with singularity, for which two discretization schemes, the classical streamline-diffusion and the EAFE (edge average finite element) one, are investigated in terms of stability and error analysis. The EAFE scheme, in particular, is extended to be arbitrary order which is of interest on its own. Numerical results, in combined space-time domain demonstrate the feasibility of the proposed approach.","authors_text":"Ludmil T. Zikatanov, Panayot S. Vassilevski, Randolph E. Bank","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-01-24T07:18:47Z","title":"Arbitrary Dimension Convection-Diffusion Schemes for Space-Time Discretizations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.06351","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:e3d4fab8c8c8f2de7a2979881f57bf570a7098adc4cc3072ecb529793dc9297a","target":"record","created_at":"2026-05-18T01:17:50Z","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":"7914203a3b97ee5d4c20823340e4903c7a3a35d6bdaacb08f258de496cec78fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-01-24T07:18:47Z","title_canon_sha256":"fe36bf2c233877c35e47b4828bceae636dd82552db22285fbd331dbcab433849"},"schema_version":"1.0","source":{"id":"1601.06351","kind":"arxiv","version":2}},"canonical_sha256":"2382cbc569afd98cf834896eb8399afe530f77a4d50f75191d627807ba223a6c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2382cbc569afd98cf834896eb8399afe530f77a4d50f75191d627807ba223a6c","first_computed_at":"2026-05-18T01:17:50.296184Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:50.296184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SLYAcrTEoSIrnomMzTzBRv43oArfz4Ofoj/q6XdkD6gHwNIOpci6fGtkj5637ujNgdkjKUO5T0aqYv1hahAfDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:50.296903Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.06351","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3d4fab8c8c8f2de7a2979881f57bf570a7098adc4cc3072ecb529793dc9297a","sha256:d1e526672e7f924a41c30f7016552e028b94267a70a93c857b9a20f8ea5781a4"],"state_sha256":"65e6d0b1f1919dfa99226c636d1bc29f73d8fcf64a28492dac0dd3998718bee4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zKiIZ3GkxVZpiLXsu4gTB08Qh32eDQ0BnGJw75w8sxvYhOSLRCaClnxzOYXXvWqZ9Y+dbo6K26B1uEMvBazhBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T19:38:12.601230Z","bundle_sha256":"315f14ca8881b4ee9447ab3c6f221cca94af95f7344bbd54d6fbe7fb23283442"}}