{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:PDDHWE6H2RSWYGC7VOYMFZJEDB","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":"b87b589ea10e698183da49344a21f3ccfd40fa425e308295d8eeaf3a50d0d7e9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-11-29T12:46:44Z","title_canon_sha256":"6eccf8c3f008835364503c4746f63e3ad90c46ce59a7bff2fd7e1c92d9155361"},"schema_version":"1.0","source":{"id":"1111.6798","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.6798","created_at":"2026-05-18T03:56:46Z"},{"alias_kind":"arxiv_version","alias_value":"1111.6798v1","created_at":"2026-05-18T03:56:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6798","created_at":"2026-05-18T03:56:46Z"},{"alias_kind":"pith_short_12","alias_value":"PDDHWE6H2RSW","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PDDHWE6H2RSWYGC7","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PDDHWE6H","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:36e4c4a56dba3c46e67d31c28330986cb93cca5f561c48ffe1dc151b67303903","target":"graph","created_at":"2026-05-18T03:56:46Z","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 study in this paper the periodic homogenization problem related to a strongly nonlinear reaction-diffusion equation. Owing to the large reaction term, the homogenized equation has a rather quite different form which puts together both the reaction and convection effects. We show in a special case that, the homogenized equation is exactly of a convection-diffusion type. The study relies on a suitable version of the well-known two-scale convergence method.","authors_text":"Jean Louis Woukeng, Nils Svanstedt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-11-29T12:46:44Z","title":"Periodic Homogenization of strongly nonlinear reaction-diffusion equations with large reaction terms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6798","kind":"arxiv","version":1},"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":"sha256:1fb0b4ab14dd536e462681e9580435f98594c0c95e64fb916cca8873ed6f53ba","target":"record","created_at":"2026-05-18T03:56:46Z","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":"b87b589ea10e698183da49344a21f3ccfd40fa425e308295d8eeaf3a50d0d7e9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-11-29T12:46:44Z","title_canon_sha256":"6eccf8c3f008835364503c4746f63e3ad90c46ce59a7bff2fd7e1c92d9155361"},"schema_version":"1.0","source":{"id":"1111.6798","kind":"arxiv","version":1}},"canonical_sha256":"78c67b13c7d4656c185fabb0c2e524186dfbc25f68766e671a84a141b17f65d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"78c67b13c7d4656c185fabb0c2e524186dfbc25f68766e671a84a141b17f65d1","first_computed_at":"2026-05-18T03:56:46.074125Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:56:46.074125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WCcaBHne23V7jz/kqvg1aOoZAq/jy6cud8iyNx8JnBTSttOkP7lY4UqQjDV+8KriW+wE/G7T9mYb6bDlUNDnAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:56:46.074930Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.6798","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1fb0b4ab14dd536e462681e9580435f98594c0c95e64fb916cca8873ed6f53ba","sha256:36e4c4a56dba3c46e67d31c28330986cb93cca5f561c48ffe1dc151b67303903"],"state_sha256":"56fdb09261ce96d41a99525d3a6eeb2bd9016da5866031728faa362a6b2a34eb"}