{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:36RRUPBE7OXDJXCMJEW3E7LVTB","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":"a96e0e399443c113e079d31a763ba8255ac4ef737882be9c005178d57480c42a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-11T18:26:12Z","title_canon_sha256":"6b8b4e68b3b5853e25c32847940a852c6e6fe0fb887dc36b458a2703865e0c33"},"schema_version":"1.0","source":{"id":"1705.04345","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.04345","created_at":"2026-05-18T00:19:30Z"},{"alias_kind":"arxiv_version","alias_value":"1705.04345v2","created_at":"2026-05-18T00:19:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.04345","created_at":"2026-05-18T00:19:30Z"},{"alias_kind":"pith_short_12","alias_value":"36RRUPBE7OXD","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"36RRUPBE7OXDJXCM","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"36RRUPBE","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:a44c7c648a658beafd039e9eb47502313903025e9f3c6ceed4475ab4e859caef","target":"graph","created_at":"2026-05-18T00:19:30Z","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":"In this paper we prove a concentration result and an error estimate for a model of heat conduction in composite materials having a microscopic structure arranged in a perodic array and thermally active membranes separating the heat conductive phases.","authors_text":"Micol Amar, Roberto Gianni","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-11T18:26:12Z","title":"Error estimate for a homogenization problem involving the Laplace-Beltrami operator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.04345","kind":"arxiv","version":2},"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":"sha256:4f4c82d21efa8e1efd47f63c65c91a923b6988a6b52c3b4725e1e689a6ea7304","target":"record","created_at":"2026-05-18T00:19:30Z","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":"a96e0e399443c113e079d31a763ba8255ac4ef737882be9c005178d57480c42a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-11T18:26:12Z","title_canon_sha256":"6b8b4e68b3b5853e25c32847940a852c6e6fe0fb887dc36b458a2703865e0c33"},"schema_version":"1.0","source":{"id":"1705.04345","kind":"arxiv","version":2}},"canonical_sha256":"dfa31a3c24fbae34dc4c492db27d75986b4ab2a645292aa2eece3095478d8d6f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dfa31a3c24fbae34dc4c492db27d75986b4ab2a645292aa2eece3095478d8d6f","first_computed_at":"2026-05-18T00:19:30.507578Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:30.507578Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3yMdnjVqtccHS2HXf2YI7So8Sni8zSj4uRMKArtlog9DYC+sopz9XGjDQ0HOtZrx6WJy1w9KQbJSUpDjlwRKBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:30.508071Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.04345","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f4c82d21efa8e1efd47f63c65c91a923b6988a6b52c3b4725e1e689a6ea7304","sha256:a44c7c648a658beafd039e9eb47502313903025e9f3c6ceed4475ab4e859caef"],"state_sha256":"b19e8d2df2d3b9d54806103f5a56016a18db2ca9aa66659115f3aa6f39db92de"}