{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KMPV6KURFQB2IXD3OEHHTBHTIU","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":"dd84d64309ac51750ba2deb44b2d96e35c96070f0bfbb074dc9829e274b20cc4","cross_cats_sorted":["cs.NA","math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-03-27T18:50:07Z","title_canon_sha256":"2237eebf9585ad1180d1b10ddefbaf54b5539418b020fb249709da6f8d2dba3a"},"schema_version":"1.0","source":{"id":"1403.7170","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7170","created_at":"2026-05-18T01:35:12Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7170v2","created_at":"2026-05-18T01:35:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7170","created_at":"2026-05-18T01:35:12Z"},{"alias_kind":"pith_short_12","alias_value":"KMPV6KURFQB2","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KMPV6KURFQB2IXD3","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KMPV6KUR","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:2fc6bdd14286353b5dc3624213422a10cd67e3bd25ffd75d52853c042829480f","target":"graph","created_at":"2026-05-18T01:35:12Z","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":"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.","authors_text":"Jacek Cyranka, Piotr Zgliczy\\'nski","cross_cats":["cs.NA","math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-03-27T18:50:07Z","title":"Existence of globally attracting solutions for one-dimensional viscous Burgers equation with nonautonomous forcing - a computer assisted proof"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7170","kind":"arxiv","version":2},"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:ae40864849ac377c3d560256a531cd5b4b2ab1643ab1ced69f0dc51b0cc2be3d","target":"record","created_at":"2026-05-18T01:35:12Z","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":"dd84d64309ac51750ba2deb44b2d96e35c96070f0bfbb074dc9829e274b20cc4","cross_cats_sorted":["cs.NA","math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-03-27T18:50:07Z","title_canon_sha256":"2237eebf9585ad1180d1b10ddefbaf54b5539418b020fb249709da6f8d2dba3a"},"schema_version":"1.0","source":{"id":"1403.7170","kind":"arxiv","version":2}},"canonical_sha256":"531f5f2a912c03a45c7b710e7984f3452b1eda12c6c041b7bb1c425f60713f79","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"531f5f2a912c03a45c7b710e7984f3452b1eda12c6c041b7bb1c425f60713f79","first_computed_at":"2026-05-18T01:35:12.339663Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:12.339663Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WUVSDRF/9VnOSRHzd24WUxMyisTCh+VEdmMth9g5uvAFf6ctJ0Mhpm3MXgDG2A+EVmlRRJdx8afGYPAz4NubBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:12.340335Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.7170","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae40864849ac377c3d560256a531cd5b4b2ab1643ab1ced69f0dc51b0cc2be3d","sha256:2fc6bdd14286353b5dc3624213422a10cd67e3bd25ffd75d52853c042829480f"],"state_sha256":"b6251737f25abd08f600cdf63098db01d0c0f368f7e376ac644de1d8f3fb2a14"}