{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:RDTWRONN7UTRQ7CVMPWZFDG6DN","short_pith_number":"pith:RDTWRONN","canonical_record":{"source":{"id":"1211.5352","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-11-22T18:50:01Z","cross_cats_sorted":[],"title_canon_sha256":"3177b0dcfb152a710ef9b5236eaf23d076d487726c2206f6f3f489e91d5a965a","abstract_canon_sha256":"fad6b23368ad00f0a7a7be6b347cd9c154d94c97e15071b3321b17adac1aea85"},"schema_version":"1.0"},"canonical_sha256":"88e768b9adfd27187c5563ed928cde1b65aa4ced542cd9d9d1136c99b84b4971","source":{"kind":"arxiv","id":"1211.5352","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.5352","created_at":"2026-05-18T03:40:04Z"},{"alias_kind":"arxiv_version","alias_value":"1211.5352v1","created_at":"2026-05-18T03:40:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.5352","created_at":"2026-05-18T03:40:04Z"},{"alias_kind":"pith_short_12","alias_value":"RDTWRONN7UTR","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RDTWRONN7UTRQ7CV","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RDTWRONN","created_at":"2026-05-18T12:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:RDTWRONN7UTRQ7CVMPWZFDG6DN","target":"record","payload":{"canonical_record":{"source":{"id":"1211.5352","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-11-22T18:50:01Z","cross_cats_sorted":[],"title_canon_sha256":"3177b0dcfb152a710ef9b5236eaf23d076d487726c2206f6f3f489e91d5a965a","abstract_canon_sha256":"fad6b23368ad00f0a7a7be6b347cd9c154d94c97e15071b3321b17adac1aea85"},"schema_version":"1.0"},"canonical_sha256":"88e768b9adfd27187c5563ed928cde1b65aa4ced542cd9d9d1136c99b84b4971","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:40:04.609292Z","signature_b64":"GMHaCW+zKPosgvTlhrIxlgCxAyZ16k+xojOv6U6v5YBhBtiiJ3ZEesybh42ScmkdXOOqHzQqM4IihYJuCW6PBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88e768b9adfd27187c5563ed928cde1b65aa4ced542cd9d9d1136c99b84b4971","last_reissued_at":"2026-05-18T03:40:04.608545Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:40:04.608545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.5352","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":"2026-05-18T03:40:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LlFUy8REKYywMfAFE+U2JqMGIk8nVWvmI8mObgvPaajtVtaH2xvO5gxJivpdbQp8vuVWKKCzOrG8iX/EUgJwCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T00:45:30.917410Z"},"content_sha256":"af8a771860b8b77b62f28eec8a672962f5ec275384808b4722a6931e3f245bc1","schema_version":"1.0","event_id":"sha256:af8a771860b8b77b62f28eec8a672962f5ec275384808b4722a6931e3f245bc1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:RDTWRONN7UTRQ7CVMPWZFDG6DN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Two-level Finite Element Method for Viscoelastic Fluid Flow: Non-smooth Initial Data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Deepjyoti Goswami","submitted_at":"2012-11-22T18:50:01Z","abstract_excerpt":"In this article, we analyze a two-level finite element method for the equations of motion arising in the flow of 2D Oldroyd model with non-smooth initial data. It involves solving the non-linear problem on a coarse grid of mesh-size $H$ and solving a linearized problem on a fine grid of mesh-size $h, h<<H$. The method gives optimal convergence rate for velocity in $H^1$-norm and for pressure in $L^2$-norm. The analysis takes in to account the loss of regularity of the solution of the Oldroyd model at initial time."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.5352","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":"2026-05-18T03:40:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nV+npM+CxttfcD1Qykyn+8cdPcD3xHTWFUGZA5JMT9EO5d87yB7LBkWV8TEndGqWukaCuzG/Rm1m+fKZb5oVDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T00:45:30.917751Z"},"content_sha256":"e5396d2ab345536ee14afcb2310d862394073c65ba5c258de7d402f8d7651486","schema_version":"1.0","event_id":"sha256:e5396d2ab345536ee14afcb2310d862394073c65ba5c258de7d402f8d7651486"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RDTWRONN7UTRQ7CVMPWZFDG6DN/bundle.json","state_url":"https://pith.science/pith/RDTWRONN7UTRQ7CVMPWZFDG6DN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RDTWRONN7UTRQ7CVMPWZFDG6DN/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":"2026-06-27T00:45:30Z","links":{"resolver":"https://pith.science/pith/RDTWRONN7UTRQ7CVMPWZFDG6DN","bundle":"https://pith.science/pith/RDTWRONN7UTRQ7CVMPWZFDG6DN/bundle.json","state":"https://pith.science/pith/RDTWRONN7UTRQ7CVMPWZFDG6DN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RDTWRONN7UTRQ7CVMPWZFDG6DN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:RDTWRONN7UTRQ7CVMPWZFDG6DN","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":"fad6b23368ad00f0a7a7be6b347cd9c154d94c97e15071b3321b17adac1aea85","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-11-22T18:50:01Z","title_canon_sha256":"3177b0dcfb152a710ef9b5236eaf23d076d487726c2206f6f3f489e91d5a965a"},"schema_version":"1.0","source":{"id":"1211.5352","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.5352","created_at":"2026-05-18T03:40:04Z"},{"alias_kind":"arxiv_version","alias_value":"1211.5352v1","created_at":"2026-05-18T03:40:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.5352","created_at":"2026-05-18T03:40:04Z"},{"alias_kind":"pith_short_12","alias_value":"RDTWRONN7UTR","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RDTWRONN7UTRQ7CV","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RDTWRONN","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:e5396d2ab345536ee14afcb2310d862394073c65ba5c258de7d402f8d7651486","target":"graph","created_at":"2026-05-18T03:40:04Z","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 article, we analyze a two-level finite element method for the equations of motion arising in the flow of 2D Oldroyd model with non-smooth initial data. It involves solving the non-linear problem on a coarse grid of mesh-size $H$ and solving a linearized problem on a fine grid of mesh-size $h, h<<H$. The method gives optimal convergence rate for velocity in $H^1$-norm and for pressure in $L^2$-norm. The analysis takes in to account the loss of regularity of the solution of the Oldroyd model at initial time.","authors_text":"Deepjyoti Goswami","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-11-22T18:50:01Z","title":"A Two-level Finite Element Method for Viscoelastic Fluid Flow: Non-smooth Initial Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.5352","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:af8a771860b8b77b62f28eec8a672962f5ec275384808b4722a6931e3f245bc1","target":"record","created_at":"2026-05-18T03:40:04Z","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":"fad6b23368ad00f0a7a7be6b347cd9c154d94c97e15071b3321b17adac1aea85","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-11-22T18:50:01Z","title_canon_sha256":"3177b0dcfb152a710ef9b5236eaf23d076d487726c2206f6f3f489e91d5a965a"},"schema_version":"1.0","source":{"id":"1211.5352","kind":"arxiv","version":1}},"canonical_sha256":"88e768b9adfd27187c5563ed928cde1b65aa4ced542cd9d9d1136c99b84b4971","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88e768b9adfd27187c5563ed928cde1b65aa4ced542cd9d9d1136c99b84b4971","first_computed_at":"2026-05-18T03:40:04.608545Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:40:04.608545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GMHaCW+zKPosgvTlhrIxlgCxAyZ16k+xojOv6U6v5YBhBtiiJ3ZEesybh42ScmkdXOOqHzQqM4IihYJuCW6PBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:40:04.609292Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.5352","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af8a771860b8b77b62f28eec8a672962f5ec275384808b4722a6931e3f245bc1","sha256:e5396d2ab345536ee14afcb2310d862394073c65ba5c258de7d402f8d7651486"],"state_sha256":"9355be1ffd30136f57fb7ef1f0aff58233013af9756b5ef9c797cd3c1be5aa5c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NAnuqRFkx4GXeEhnAVlHervDrNe180WMJNSLuVGt299ur8Ra6pDsCdIUyKQvRSDLoKeBq/Z8N66QEAhKLybiAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T00:45:30.919645Z","bundle_sha256":"72c302306fb2f8d2e2418f5011fcc7cdc95c5f5dc42ec176c0de62d4797ea590"}}