{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:SZRSVHBL36OGYFPQWTBEYUWVRG","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":"04eeb42c4729715b5d959a4fecea7692060d0c30d108ea425c42b4ca1915e5b9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-07-28T14:25:33Z","title_canon_sha256":"f88e71826da6dba04c4565b8414a21c71ee538d8cf8e95377f122b366cb2d0c0"},"schema_version":"1.0","source":{"id":"2507.20874","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.20874","created_at":"2026-07-05T11:44:27Z"},{"alias_kind":"arxiv_version","alias_value":"2507.20874v1","created_at":"2026-07-05T11:44:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.20874","created_at":"2026-07-05T11:44:27Z"},{"alias_kind":"pith_short_12","alias_value":"SZRSVHBL36OG","created_at":"2026-07-05T11:44:27Z"},{"alias_kind":"pith_short_16","alias_value":"SZRSVHBL36OGYFPQ","created_at":"2026-07-05T11:44:27Z"},{"alias_kind":"pith_short_8","alias_value":"SZRSVHBL","created_at":"2026-07-05T11:44:27Z"}],"graph_snapshots":[{"event_id":"sha256:34f9df036b22810491783db974b18af7b715f78896c6d576936eadc685e7082e","target":"graph","created_at":"2026-07-05T11:44:27Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2507.20874/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The aim of this article is to prove strong convergence results on the difference between the solution to highly oscillatory problems posed in thin domains and its two-scale expansion. We first consider the case of the linear diffusion equation and establish such results in arbitrary dimensions, by using a straightforward adaptation of the classical arguments used for the homogenization of highly oscillatory problems posed on fixed (non-thin) domains. We next consider the linear elasticity problem, which raises challenging difficulties in its full generality. Under some classical assumptions on","authors_text":"Adrien Lesage, Arthur Leb\\'ee, Fr\\'ed\\'eric Legoll, Virginie Ehrlacher","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-07-28T14:25:33Z","title":"Convergence of two-scale expansions for elastic heterogeneous plates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.20874","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":"sha256:7f29d5de93f871225f408ee11c377f06b32f7c7a53f63a78fac5000078ea8382","target":"record","created_at":"2026-07-05T11:44:27Z","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":"04eeb42c4729715b5d959a4fecea7692060d0c30d108ea425c42b4ca1915e5b9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-07-28T14:25:33Z","title_canon_sha256":"f88e71826da6dba04c4565b8414a21c71ee538d8cf8e95377f122b366cb2d0c0"},"schema_version":"1.0","source":{"id":"2507.20874","kind":"arxiv","version":1}},"canonical_sha256":"96632a9c2bdf9c6c15f0b4c24c52d589bd84f3f5b1c797b1fa6000d8ff17a351","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"96632a9c2bdf9c6c15f0b4c24c52d589bd84f3f5b1c797b1fa6000d8ff17a351","first_computed_at":"2026-07-05T11:44:27.401138Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:44:27.401138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PFfCztPy0MgmUi633ODqx8rdji+pLkeL5gaIvPYr2a/94j+VYUHUF0+93KsJTaywaGnUkudNfS73+lmixoOfDA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:44:27.401535Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.20874","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7f29d5de93f871225f408ee11c377f06b32f7c7a53f63a78fac5000078ea8382","sha256:34f9df036b22810491783db974b18af7b715f78896c6d576936eadc685e7082e"],"state_sha256":"3e4bf38afec185b4475c41d94001b06534f7a3d3e312be76472289cff34f8542"}