{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZGADYU72H4JBFH6LABRDA6XKSB","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":"5d540b6548676530fbdb6b20428ab77c23286fb7e4fe054417982f75f3a6c7df","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-06-27T15:29:37Z","title_canon_sha256":"9bba0a9d3f5f980a3a06cf0e25a32affaf7c18c347f7adebaef15956a4fd722b"},"schema_version":"1.0","source":{"id":"1506.08302","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.08302","created_at":"2026-05-18T01:37:46Z"},{"alias_kind":"arxiv_version","alias_value":"1506.08302v1","created_at":"2026-05-18T01:37:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.08302","created_at":"2026-05-18T01:37:46Z"},{"alias_kind":"pith_short_12","alias_value":"ZGADYU72H4JB","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZGADYU72H4JBFH6L","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZGADYU72","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:cb1d87bbc18b298ffd835de1140814d452c904f4a3705fa82cc410d3adfe98ed","target":"graph","created_at":"2026-05-18T01:37:46Z","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":"The paper deals with the homogenization of reaction-diffusion equations with large reaction terms in a multi-scale porous medium. We assume that the fractures and pores are equidistributed and that the coefficients of the equations are periodic. Using the multi-scale convergence method, we derive a homogenization result whose limit problem is defined on a fixed domain and is of convection-diffusion-reaction type.","authors_text":"Hermann Douanla, Jean Louis Woukeng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-06-27T15:29:37Z","title":"Homogenization of reaction-diffusion equations in fractured porous media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.08302","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":"sha256:7c436822b53a04ba369037117efc8e0327b3b9d9d3222c7dd04f28af364c3e82","target":"record","created_at":"2026-05-18T01:37:46Z","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":"5d540b6548676530fbdb6b20428ab77c23286fb7e4fe054417982f75f3a6c7df","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-06-27T15:29:37Z","title_canon_sha256":"9bba0a9d3f5f980a3a06cf0e25a32affaf7c18c347f7adebaef15956a4fd722b"},"schema_version":"1.0","source":{"id":"1506.08302","kind":"arxiv","version":1}},"canonical_sha256":"c9803c53fa3f12129fcb0062307aea907864cf13cae4e3c9dea779d2182320a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c9803c53fa3f12129fcb0062307aea907864cf13cae4e3c9dea779d2182320a6","first_computed_at":"2026-05-18T01:37:46.843842Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:46.843842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jBiJUbzGF89L5tr7WLItsqWGJoZ9/+WWIRG9u3fhCB9c+EQ1Sheg0N4lok2cW3RiazHMfZ4Fabfunb/bhYA6Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:46.844216Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.08302","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7c436822b53a04ba369037117efc8e0327b3b9d9d3222c7dd04f28af364c3e82","sha256:cb1d87bbc18b298ffd835de1140814d452c904f4a3705fa82cc410d3adfe98ed"],"state_sha256":"0c029861501611bbcf15065faaac859534e33c5f14d71afc401a8db22d04924a"}