{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:XI6BQWMD3DHSWWKEB5JO6FWRND","short_pith_number":"pith:XI6BQWMD","schema_version":"1.0","canonical_sha256":"ba3c185983d8cf2b59440f52ef16d168c13432057a26e3b9f7fa01dc3c95a4c0","source":{"kind":"arxiv","id":"1004.2955","version":1},"attestation_state":"computed","paper":{"title":"KPP reaction-diffusion equations with a non-linear loss inside a cylinder","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Thomas Giletti","submitted_at":"2010-04-17T11:52:57Z","abstract_excerpt":"We consider in this paper a reaction-diffusion system in presence of a flow and under a KPP hypothesis. While the case of a single-equation has been extensively studied since the pioneering Kolmogorov-Petrovski-Piskunov paper, the study of the corresponding system with a Lewis number not equal to 1 is still quite open. Here, we will prove some results about the existence of travelling fronts and generalized travelling fronts solutions of such a system with the presence of a non-linear spacedependent loss term inside the domain. In particular, we will point out the existence of a minimal speed,"},"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":"1004.2955","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-04-17T11:52:57Z","cross_cats_sorted":[],"title_canon_sha256":"23e1f2abf8a7d3a2c2f8647bbefdf006f49cb341dc72feaf15da74c0e03fca07","abstract_canon_sha256":"8df545e6fac738354990d779d8e629bc9e897b9db5e0cefeae308a64e90c533d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:07:57.241050Z","signature_b64":"GGrvBPzIcqv3hRPPfm6TTvi+I5nssNlQtwfGIyuLVz4oW2CXiPlGUFuFC0k5PqN7kVfhn/jU52/Hlmt6nEX5DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba3c185983d8cf2b59440f52ef16d168c13432057a26e3b9f7fa01dc3c95a4c0","last_reissued_at":"2026-05-18T02:07:57.240361Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:07:57.240361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"KPP reaction-diffusion equations with a non-linear loss inside a cylinder","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Thomas Giletti","submitted_at":"2010-04-17T11:52:57Z","abstract_excerpt":"We consider in this paper a reaction-diffusion system in presence of a flow and under a KPP hypothesis. While the case of a single-equation has been extensively studied since the pioneering Kolmogorov-Petrovski-Piskunov paper, the study of the corresponding system with a Lewis number not equal to 1 is still quite open. Here, we will prove some results about the existence of travelling fronts and generalized travelling fronts solutions of such a system with the presence of a non-linear spacedependent loss term inside the domain. In particular, we will point out the existence of a minimal speed,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.2955","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":"1004.2955","created_at":"2026-05-18T02:07:57.240474+00:00"},{"alias_kind":"arxiv_version","alias_value":"1004.2955v1","created_at":"2026-05-18T02:07:57.240474+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.2955","created_at":"2026-05-18T02:07:57.240474+00:00"},{"alias_kind":"pith_short_12","alias_value":"XI6BQWMD3DHS","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_16","alias_value":"XI6BQWMD3DHSWWKE","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_8","alias_value":"XI6BQWMD","created_at":"2026-05-18T12:26:17.028572+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/XI6BQWMD3DHSWWKEB5JO6FWRND","json":"https://pith.science/pith/XI6BQWMD3DHSWWKEB5JO6FWRND.json","graph_json":"https://pith.science/api/pith-number/XI6BQWMD3DHSWWKEB5JO6FWRND/graph.json","events_json":"https://pith.science/api/pith-number/XI6BQWMD3DHSWWKEB5JO6FWRND/events.json","paper":"https://pith.science/paper/XI6BQWMD"},"agent_actions":{"view_html":"https://pith.science/pith/XI6BQWMD3DHSWWKEB5JO6FWRND","download_json":"https://pith.science/pith/XI6BQWMD3DHSWWKEB5JO6FWRND.json","view_paper":"https://pith.science/paper/XI6BQWMD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1004.2955&json=true","fetch_graph":"https://pith.science/api/pith-number/XI6BQWMD3DHSWWKEB5JO6FWRND/graph.json","fetch_events":"https://pith.science/api/pith-number/XI6BQWMD3DHSWWKEB5JO6FWRND/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XI6BQWMD3DHSWWKEB5JO6FWRND/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XI6BQWMD3DHSWWKEB5JO6FWRND/action/storage_attestation","attest_author":"https://pith.science/pith/XI6BQWMD3DHSWWKEB5JO6FWRND/action/author_attestation","sign_citation":"https://pith.science/pith/XI6BQWMD3DHSWWKEB5JO6FWRND/action/citation_signature","submit_replication":"https://pith.science/pith/XI6BQWMD3DHSWWKEB5JO6FWRND/action/replication_record"}},"created_at":"2026-05-18T02:07:57.240474+00:00","updated_at":"2026-05-18T02:07:57.240474+00:00"}