{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:KCG37ZF2FG35AH3MK72K2TCJQ3","short_pith_number":"pith:KCG37ZF2","schema_version":"1.0","canonical_sha256":"508dbfe4ba29b7d01f6c57f4ad4c4986c1dac280e69ee85cbf91e938bee65e77","source":{"kind":"arxiv","id":"1105.1190","version":1},"attestation_state":"computed","paper":{"title":"Global exponential convergence to variational traveling waves in cylinders","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS"],"primary_cat":"math.AP","authors_text":"C. B. Muratov, M. Novaga","submitted_at":"2011-05-05T22:54:41Z","abstract_excerpt":"We prove, under generic assumptions, that the special variational traveling wave that minimizes the exponentially weighted Ginzburg-Landau functional associated with scalar reaction-diffusion equations in infinite cylinders is the long-time attractor for the solutions of the initial value problems with front-like initial data. The convergence to this traveling wave is exponentially fast. The obtained result is mainly a consequence of the gradient flow structure of the considered equation in the exponentially weighted spaces and does not depend on the precise details of the problem. It strength"},"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":"1105.1190","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-05-05T22:54:41Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"41cb62b4ff82cf5d580c241585d145b498f7e5d84ff260cb4ae7c2b5c18b8678","abstract_canon_sha256":"63c7c13f068f3a1c83e3daec130ca674bf4f0a61ec8a81a293ee558d75df1424"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:52:15.049343Z","signature_b64":"ws0omnYBVtuarzbh4wyrmfen4OJBp57pVmAj6GEwnR49XReOejeMpAWWgOZpHeo6O6tB/8WvsGWD7FuGd+AKBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"508dbfe4ba29b7d01f6c57f4ad4c4986c1dac280e69ee85cbf91e938bee65e77","last_reissued_at":"2026-05-18T03:52:15.048633Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:52:15.048633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Global exponential convergence to variational traveling waves in cylinders","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS"],"primary_cat":"math.AP","authors_text":"C. B. Muratov, M. Novaga","submitted_at":"2011-05-05T22:54:41Z","abstract_excerpt":"We prove, under generic assumptions, that the special variational traveling wave that minimizes the exponentially weighted Ginzburg-Landau functional associated with scalar reaction-diffusion equations in infinite cylinders is the long-time attractor for the solutions of the initial value problems with front-like initial data. The convergence to this traveling wave is exponentially fast. The obtained result is mainly a consequence of the gradient flow structure of the considered equation in the exponentially weighted spaces and does not depend on the precise details of the problem. It strength"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.1190","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1105.1190","created_at":"2026-05-18T03:52:15.048749+00:00"},{"alias_kind":"arxiv_version","alias_value":"1105.1190v1","created_at":"2026-05-18T03:52:15.048749+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.1190","created_at":"2026-05-18T03:52:15.048749+00:00"},{"alias_kind":"pith_short_12","alias_value":"KCG37ZF2FG35","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_16","alias_value":"KCG37ZF2FG35AH3M","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_8","alias_value":"KCG37ZF2","created_at":"2026-05-18T12:26:32.869790+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/KCG37ZF2FG35AH3MK72K2TCJQ3","json":"https://pith.science/pith/KCG37ZF2FG35AH3MK72K2TCJQ3.json","graph_json":"https://pith.science/api/pith-number/KCG37ZF2FG35AH3MK72K2TCJQ3/graph.json","events_json":"https://pith.science/api/pith-number/KCG37ZF2FG35AH3MK72K2TCJQ3/events.json","paper":"https://pith.science/paper/KCG37ZF2"},"agent_actions":{"view_html":"https://pith.science/pith/KCG37ZF2FG35AH3MK72K2TCJQ3","download_json":"https://pith.science/pith/KCG37ZF2FG35AH3MK72K2TCJQ3.json","view_paper":"https://pith.science/paper/KCG37ZF2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1105.1190&json=true","fetch_graph":"https://pith.science/api/pith-number/KCG37ZF2FG35AH3MK72K2TCJQ3/graph.json","fetch_events":"https://pith.science/api/pith-number/KCG37ZF2FG35AH3MK72K2TCJQ3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KCG37ZF2FG35AH3MK72K2TCJQ3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KCG37ZF2FG35AH3MK72K2TCJQ3/action/storage_attestation","attest_author":"https://pith.science/pith/KCG37ZF2FG35AH3MK72K2TCJQ3/action/author_attestation","sign_citation":"https://pith.science/pith/KCG37ZF2FG35AH3MK72K2TCJQ3/action/citation_signature","submit_replication":"https://pith.science/pith/KCG37ZF2FG35AH3MK72K2TCJQ3/action/replication_record"}},"created_at":"2026-05-18T03:52:15.048749+00:00","updated_at":"2026-05-18T03:52:15.048749+00:00"}