{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:MGGQ2IQOYZEQSXWSEL2HKTWNUF","short_pith_number":"pith:MGGQ2IQO","canonical_record":{"source":{"id":"1902.00727","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-02T14:25:46Z","cross_cats_sorted":[],"title_canon_sha256":"1cad824ade0066bfaff50d607ca034feb4e2bd405577363a2b02959bd24e0f56","abstract_canon_sha256":"0600e2b641f74330ae0488ad5decfccff92e567879bc9fc57b93c91ded55e09b"},"schema_version":"1.0"},"canonical_sha256":"618d0d220ec649095ed222f4754ecda16da73dc30c7745a47a40a9590d0d19b3","source":{"kind":"arxiv","id":"1902.00727","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.00727","created_at":"2026-05-17T23:54:52Z"},{"alias_kind":"arxiv_version","alias_value":"1902.00727v1","created_at":"2026-05-17T23:54:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.00727","created_at":"2026-05-17T23:54:52Z"},{"alias_kind":"pith_short_12","alias_value":"MGGQ2IQOYZEQ","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"MGGQ2IQOYZEQSXWS","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"MGGQ2IQO","created_at":"2026-05-18T12:33:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:MGGQ2IQOYZEQSXWSEL2HKTWNUF","target":"record","payload":{"canonical_record":{"source":{"id":"1902.00727","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-02T14:25:46Z","cross_cats_sorted":[],"title_canon_sha256":"1cad824ade0066bfaff50d607ca034feb4e2bd405577363a2b02959bd24e0f56","abstract_canon_sha256":"0600e2b641f74330ae0488ad5decfccff92e567879bc9fc57b93c91ded55e09b"},"schema_version":"1.0"},"canonical_sha256":"618d0d220ec649095ed222f4754ecda16da73dc30c7745a47a40a9590d0d19b3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:52.345907Z","signature_b64":"DnEhqS+MEVQKt+Gd8dn4a0GnavjCecn1TxVfA1d1HF5u/r35GDq/jVXRQqv1z6NKFokRIz8xq8fsFU2RE6REDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"618d0d220ec649095ed222f4754ecda16da73dc30c7745a47a40a9590d0d19b3","last_reissued_at":"2026-05-17T23:54:52.345425Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:52.345425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.00727","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":"2026-05-17T23:54:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wwdx4usOT4e9l05UMgi5rrGqJKeDq2axLzgmvZfE/Z40KdfoeE505oKzfXbmHYKUupv9vjNlSbEne2nBe6JuAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:22:42.962426Z"},"content_sha256":"f801c3ba6867907ad3075b34abf1e62a417b4ead46524941c2e32a4379ac28cb","schema_version":"1.0","event_id":"sha256:f801c3ba6867907ad3075b34abf1e62a417b4ead46524941c2e32a4379ac28cb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:MGGQ2IQOYZEQSXWSEL2HKTWNUF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite element apriori error estimate for a class of Cardiac Electric models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"B.V. Rathish Kumar, Meena Pargaei","submitted_at":"2019-02-02T14:25:46Z","abstract_excerpt":"In this study we derive the Finite element apriori error estimate for the monodomain cardiac electric model in conjunction with the generic form for a class of nonlinear ionic models. The analysis establishes a $o(h^2+k)$ space-time convergence. Further the computational realization of the same for different reduced ionic test models is presented."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.00727","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":"2026-05-17T23:54:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X5C4syCsrhFEtQGF82P3hYz6GzDW3ypmCFpJ+r4WJifsnhOnUjcsrLiGmu081v3qsFhWl8b9Q/3njV2XlweUBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:22:42.962783Z"},"content_sha256":"191dc7e74c1602823a4ec0215aaa84e9b3dcde3bf320a3ebe89a46db248de284","schema_version":"1.0","event_id":"sha256:191dc7e74c1602823a4ec0215aaa84e9b3dcde3bf320a3ebe89a46db248de284"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MGGQ2IQOYZEQSXWSEL2HKTWNUF/bundle.json","state_url":"https://pith.science/pith/MGGQ2IQOYZEQSXWSEL2HKTWNUF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MGGQ2IQOYZEQSXWSEL2HKTWNUF/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":"2026-06-01T22:22:42Z","links":{"resolver":"https://pith.science/pith/MGGQ2IQOYZEQSXWSEL2HKTWNUF","bundle":"https://pith.science/pith/MGGQ2IQOYZEQSXWSEL2HKTWNUF/bundle.json","state":"https://pith.science/pith/MGGQ2IQOYZEQSXWSEL2HKTWNUF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MGGQ2IQOYZEQSXWSEL2HKTWNUF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:MGGQ2IQOYZEQSXWSEL2HKTWNUF","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":"0600e2b641f74330ae0488ad5decfccff92e567879bc9fc57b93c91ded55e09b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-02T14:25:46Z","title_canon_sha256":"1cad824ade0066bfaff50d607ca034feb4e2bd405577363a2b02959bd24e0f56"},"schema_version":"1.0","source":{"id":"1902.00727","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.00727","created_at":"2026-05-17T23:54:52Z"},{"alias_kind":"arxiv_version","alias_value":"1902.00727v1","created_at":"2026-05-17T23:54:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.00727","created_at":"2026-05-17T23:54:52Z"},{"alias_kind":"pith_short_12","alias_value":"MGGQ2IQOYZEQ","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"MGGQ2IQOYZEQSXWS","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"MGGQ2IQO","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:191dc7e74c1602823a4ec0215aaa84e9b3dcde3bf320a3ebe89a46db248de284","target":"graph","created_at":"2026-05-17T23:54:52Z","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 study we derive the Finite element apriori error estimate for the monodomain cardiac electric model in conjunction with the generic form for a class of nonlinear ionic models. The analysis establishes a $o(h^2+k)$ space-time convergence. Further the computational realization of the same for different reduced ionic test models is presented.","authors_text":"B.V. Rathish Kumar, Meena Pargaei","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-02T14:25:46Z","title":"Finite element apriori error estimate for a class of Cardiac Electric models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.00727","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:f801c3ba6867907ad3075b34abf1e62a417b4ead46524941c2e32a4379ac28cb","target":"record","created_at":"2026-05-17T23:54:52Z","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":"0600e2b641f74330ae0488ad5decfccff92e567879bc9fc57b93c91ded55e09b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-02T14:25:46Z","title_canon_sha256":"1cad824ade0066bfaff50d607ca034feb4e2bd405577363a2b02959bd24e0f56"},"schema_version":"1.0","source":{"id":"1902.00727","kind":"arxiv","version":1}},"canonical_sha256":"618d0d220ec649095ed222f4754ecda16da73dc30c7745a47a40a9590d0d19b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"618d0d220ec649095ed222f4754ecda16da73dc30c7745a47a40a9590d0d19b3","first_computed_at":"2026-05-17T23:54:52.345425Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:52.345425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DnEhqS+MEVQKt+Gd8dn4a0GnavjCecn1TxVfA1d1HF5u/r35GDq/jVXRQqv1z6NKFokRIz8xq8fsFU2RE6REDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:52.345907Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.00727","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f801c3ba6867907ad3075b34abf1e62a417b4ead46524941c2e32a4379ac28cb","sha256:191dc7e74c1602823a4ec0215aaa84e9b3dcde3bf320a3ebe89a46db248de284"],"state_sha256":"994f2036a3d2c1154f62cfc41b36270170271c846b21287bac91b3115fcfaaf2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qoKrsL9xT9NxGZdV3Fes5NV7bNt2cl9Xu9RI/cUoiVFvoLlOOI/vKB95aPn1Ugz3QofiDdNcCgXt5yTIswnSCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T22:22:42.965069Z","bundle_sha256":"5a3924e9489e88632e0a049a91e1f2a790451001e020cb07a37344d69c3006e1"}}