{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:FCRAMX27RNFLWJ62BAYWPF2VWL","short_pith_number":"pith:FCRAMX27","schema_version":"1.0","canonical_sha256":"28a2065f5f8b4abb27da0831679755b2e84303ac87f015a41b3f2e0536ab3c74","source":{"kind":"arxiv","id":"1012.5103","version":2},"attestation_state":"computed","paper":{"title":"On the Approximation of Nonlinear Evolution Equations in Particular C*-Algebras of Operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.FA","authors_text":"Fredy Vides","submitted_at":"2010-12-22T21:10:42Z","abstract_excerpt":"In this article we deal with the stability and convergence of numerical solutions of nonlinear evolution equations of the form $A(u(t))+f(u(t))=u'(t)$, the numerical analysis of solutions to this problems will be performed using some methods from particular algebras of operators which are sometimes represented by unital subalgebras of the unital C*-algebras of operators that are generated by some basic operators say $\\mathbf{1},a,\\mathcal{D}(\\cdot)\\in\\mathcal{L}(H^m(G))$ that in some suitable sense are related to the operator $A(\\cdot)\\in\\mathcal{L}(H^m(G))$ in the evolution equations, particu"},"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":"1012.5103","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2010-12-22T21:10:42Z","cross_cats_sorted":["math.OA"],"title_canon_sha256":"559accd5522d2abb2facf46afb53e38d87a4282a0ebd1fce86e0dba0aca609bb","abstract_canon_sha256":"e83669967b70de5209a82449639c15f20ca7c58ba0bd6646061906e6499464a3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:23.538441Z","signature_b64":"EdwV8geImjiEuTdaUD3VJMsbt3uImTSFgYQRIKj8TmmlPAQmvkXENphklMrOs+xipWhuMJWo/mpiV1ioIekzBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28a2065f5f8b4abb27da0831679755b2e84303ac87f015a41b3f2e0536ab3c74","last_reissued_at":"2026-05-18T04:32:23.537833Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:23.537833Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Approximation of Nonlinear Evolution Equations in Particular C*-Algebras of Operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.FA","authors_text":"Fredy Vides","submitted_at":"2010-12-22T21:10:42Z","abstract_excerpt":"In this article we deal with the stability and convergence of numerical solutions of nonlinear evolution equations of the form $A(u(t))+f(u(t))=u'(t)$, the numerical analysis of solutions to this problems will be performed using some methods from particular algebras of operators which are sometimes represented by unital subalgebras of the unital C*-algebras of operators that are generated by some basic operators say $\\mathbf{1},a,\\mathcal{D}(\\cdot)\\in\\mathcal{L}(H^m(G))$ that in some suitable sense are related to the operator $A(\\cdot)\\in\\mathcal{L}(H^m(G))$ in the evolution equations, particu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5103","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":"1012.5103","created_at":"2026-05-18T04:32:23.537926+00:00"},{"alias_kind":"arxiv_version","alias_value":"1012.5103v2","created_at":"2026-05-18T04:32:23.537926+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.5103","created_at":"2026-05-18T04:32:23.537926+00:00"},{"alias_kind":"pith_short_12","alias_value":"FCRAMX27RNFL","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_16","alias_value":"FCRAMX27RNFLWJ62","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_8","alias_value":"FCRAMX27","created_at":"2026-05-18T12:26:06.534383+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/FCRAMX27RNFLWJ62BAYWPF2VWL","json":"https://pith.science/pith/FCRAMX27RNFLWJ62BAYWPF2VWL.json","graph_json":"https://pith.science/api/pith-number/FCRAMX27RNFLWJ62BAYWPF2VWL/graph.json","events_json":"https://pith.science/api/pith-number/FCRAMX27RNFLWJ62BAYWPF2VWL/events.json","paper":"https://pith.science/paper/FCRAMX27"},"agent_actions":{"view_html":"https://pith.science/pith/FCRAMX27RNFLWJ62BAYWPF2VWL","download_json":"https://pith.science/pith/FCRAMX27RNFLWJ62BAYWPF2VWL.json","view_paper":"https://pith.science/paper/FCRAMX27","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1012.5103&json=true","fetch_graph":"https://pith.science/api/pith-number/FCRAMX27RNFLWJ62BAYWPF2VWL/graph.json","fetch_events":"https://pith.science/api/pith-number/FCRAMX27RNFLWJ62BAYWPF2VWL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FCRAMX27RNFLWJ62BAYWPF2VWL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FCRAMX27RNFLWJ62BAYWPF2VWL/action/storage_attestation","attest_author":"https://pith.science/pith/FCRAMX27RNFLWJ62BAYWPF2VWL/action/author_attestation","sign_citation":"https://pith.science/pith/FCRAMX27RNFLWJ62BAYWPF2VWL/action/citation_signature","submit_replication":"https://pith.science/pith/FCRAMX27RNFLWJ62BAYWPF2VWL/action/replication_record"}},"created_at":"2026-05-18T04:32:23.537926+00:00","updated_at":"2026-05-18T04:32:23.537926+00:00"}