{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:5UJBFMDZRMLSXFO27R53XGHEZ3","short_pith_number":"pith:5UJBFMDZ","schema_version":"1.0","canonical_sha256":"ed1212b0798b172b95dafc7bbb98e4ceed649b18031493997cabba6648ca9a3a","source":{"kind":"arxiv","id":"1205.0159","version":2},"attestation_state":"computed","paper":{"title":"A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Fardin Saedpanah","submitted_at":"2012-05-01T13:55:07Z","abstract_excerpt":"An integro-differential equation of hyperbolic type, with mixed boundary conditions, is considered. A continuous space-time finite element method of degree one is formulated. A posteriori error representations based on space-time cells is presented such that it can be used for adaptive strategies based on dual weighted residual methods. A posteriori error estimates based on weighted global projections and local projections are also proved."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1205.0159","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-05-01T13:55:07Z","cross_cats_sorted":[],"title_canon_sha256":"205cc7177dba43c169de45d4c1a0054b9e7013d8d5cbbbfc66877b4488b3e63f","abstract_canon_sha256":"f968d2a8067ff0fe5cec7f0f45065550b3a7d23a5e4700f009c79b67afff4acb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:40:49.424802Z","signature_b64":"5P8kGYrsZS0F67jFuUHCKVirD4urogbFulpwCWGZHJYJzcH957bU0JxJvBvddsnqezahHkh8ZPQE2C6MMq2oCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed1212b0798b172b95dafc7bbb98e4ceed649b18031493997cabba6648ca9a3a","last_reissued_at":"2026-05-18T03:40:49.424050Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:40:49.424050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Fardin Saedpanah","submitted_at":"2012-05-01T13:55:07Z","abstract_excerpt":"An integro-differential equation of hyperbolic type, with mixed boundary conditions, is considered. A continuous space-time finite element method of degree one is formulated. A posteriori error representations based on space-time cells is presented such that it can be used for adaptive strategies based on dual weighted residual methods. A posteriori error estimates based on weighted global projections and local projections are also proved."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.0159","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1205.0159","created_at":"2026-05-18T03:40:49.424176+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.0159v2","created_at":"2026-05-18T03:40:49.424176+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.0159","created_at":"2026-05-18T03:40:49.424176+00:00"},{"alias_kind":"pith_short_12","alias_value":"5UJBFMDZRMLS","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_16","alias_value":"5UJBFMDZRMLSXFO2","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_8","alias_value":"5UJBFMDZ","created_at":"2026-05-18T12:26:56.085431+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5UJBFMDZRMLSXFO27R53XGHEZ3","json":"https://pith.science/pith/5UJBFMDZRMLSXFO27R53XGHEZ3.json","graph_json":"https://pith.science/api/pith-number/5UJBFMDZRMLSXFO27R53XGHEZ3/graph.json","events_json":"https://pith.science/api/pith-number/5UJBFMDZRMLSXFO27R53XGHEZ3/events.json","paper":"https://pith.science/paper/5UJBFMDZ"},"agent_actions":{"view_html":"https://pith.science/pith/5UJBFMDZRMLSXFO27R53XGHEZ3","download_json":"https://pith.science/pith/5UJBFMDZRMLSXFO27R53XGHEZ3.json","view_paper":"https://pith.science/paper/5UJBFMDZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.0159&json=true","fetch_graph":"https://pith.science/api/pith-number/5UJBFMDZRMLSXFO27R53XGHEZ3/graph.json","fetch_events":"https://pith.science/api/pith-number/5UJBFMDZRMLSXFO27R53XGHEZ3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5UJBFMDZRMLSXFO27R53XGHEZ3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5UJBFMDZRMLSXFO27R53XGHEZ3/action/storage_attestation","attest_author":"https://pith.science/pith/5UJBFMDZRMLSXFO27R53XGHEZ3/action/author_attestation","sign_citation":"https://pith.science/pith/5UJBFMDZRMLSXFO27R53XGHEZ3/action/citation_signature","submit_replication":"https://pith.science/pith/5UJBFMDZRMLSXFO27R53XGHEZ3/action/replication_record"}},"created_at":"2026-05-18T03:40:49.424176+00:00","updated_at":"2026-05-18T03:40:49.424176+00:00"}