{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:KMPV6KURFQB2IXD3OEHHTBHTIU","short_pith_number":"pith:KMPV6KUR","schema_version":"1.0","canonical_sha256":"531f5f2a912c03a45c7b710e7984f3452b1eda12c6c041b7bb1c425f60713f79","source":{"kind":"arxiv","id":"1403.7170","version":2},"attestation_state":"computed","paper":{"title":"Existence of globally attracting solutions for one-dimensional viscous Burgers equation with nonautonomous forcing - a computer assisted proof","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.AP"],"primary_cat":"math.DS","authors_text":"Jacek Cyranka, Piotr Zgliczy\\'nski","submitted_at":"2014-03-27T18:50:07Z","abstract_excerpt":"We prove the existence of globally attracting solutions of the viscous Burgers equation with periodic boundary conditions on the line for some particular choices of viscosity and non-autonomous forcing. The attract- ing solution is periodic if the forcing is periodic. The method is general and can be applied to other similar partial differential equations. The proof is computer assisted."},"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":"1403.7170","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-03-27T18:50:07Z","cross_cats_sorted":["cs.NA","math.AP"],"title_canon_sha256":"2237eebf9585ad1180d1b10ddefbaf54b5539418b020fb249709da6f8d2dba3a","abstract_canon_sha256":"dd84d64309ac51750ba2deb44b2d96e35c96070f0bfbb074dc9829e274b20cc4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:12.340335Z","signature_b64":"WUVSDRF/9VnOSRHzd24WUxMyisTCh+VEdmMth9g5uvAFf6ctJ0Mhpm3MXgDG2A+EVmlRRJdx8afGYPAz4NubBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"531f5f2a912c03a45c7b710e7984f3452b1eda12c6c041b7bb1c425f60713f79","last_reissued_at":"2026-05-18T01:35:12.339663Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:12.339663Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Existence of globally attracting solutions for one-dimensional viscous Burgers equation with nonautonomous forcing - a computer assisted proof","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.AP"],"primary_cat":"math.DS","authors_text":"Jacek Cyranka, Piotr Zgliczy\\'nski","submitted_at":"2014-03-27T18:50:07Z","abstract_excerpt":"We prove the existence of globally attracting solutions of the viscous Burgers equation with periodic boundary conditions on the line for some particular choices of viscosity and non-autonomous forcing. The attract- ing solution is periodic if the forcing is periodic. The method is general and can be applied to other similar partial differential equations. The proof is computer assisted."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7170","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":"1403.7170","created_at":"2026-05-18T01:35:12.339762+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.7170v2","created_at":"2026-05-18T01:35:12.339762+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7170","created_at":"2026-05-18T01:35:12.339762+00:00"},{"alias_kind":"pith_short_12","alias_value":"KMPV6KURFQB2","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_16","alias_value":"KMPV6KURFQB2IXD3","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_8","alias_value":"KMPV6KUR","created_at":"2026-05-18T12:28:35.611951+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/KMPV6KURFQB2IXD3OEHHTBHTIU","json":"https://pith.science/pith/KMPV6KURFQB2IXD3OEHHTBHTIU.json","graph_json":"https://pith.science/api/pith-number/KMPV6KURFQB2IXD3OEHHTBHTIU/graph.json","events_json":"https://pith.science/api/pith-number/KMPV6KURFQB2IXD3OEHHTBHTIU/events.json","paper":"https://pith.science/paper/KMPV6KUR"},"agent_actions":{"view_html":"https://pith.science/pith/KMPV6KURFQB2IXD3OEHHTBHTIU","download_json":"https://pith.science/pith/KMPV6KURFQB2IXD3OEHHTBHTIU.json","view_paper":"https://pith.science/paper/KMPV6KUR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.7170&json=true","fetch_graph":"https://pith.science/api/pith-number/KMPV6KURFQB2IXD3OEHHTBHTIU/graph.json","fetch_events":"https://pith.science/api/pith-number/KMPV6KURFQB2IXD3OEHHTBHTIU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KMPV6KURFQB2IXD3OEHHTBHTIU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KMPV6KURFQB2IXD3OEHHTBHTIU/action/storage_attestation","attest_author":"https://pith.science/pith/KMPV6KURFQB2IXD3OEHHTBHTIU/action/author_attestation","sign_citation":"https://pith.science/pith/KMPV6KURFQB2IXD3OEHHTBHTIU/action/citation_signature","submit_replication":"https://pith.science/pith/KMPV6KURFQB2IXD3OEHHTBHTIU/action/replication_record"}},"created_at":"2026-05-18T01:35:12.339762+00:00","updated_at":"2026-05-18T01:35:12.339762+00:00"}