{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:I242PXH7TBOF75JEH372RG3UAO","short_pith_number":"pith:I242PXH7","schema_version":"1.0","canonical_sha256":"46b9a7dcff985c5ff5243effa89b7403b7efefe60a6f64110450902e1e565ba9","source":{"kind":"arxiv","id":"1810.02306","version":1},"attestation_state":"computed","paper":{"title":"Higher order Gamma-limits for singularly perturbed Dirichlet-Neumann problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Giovanni Gravina, Giovanni Leoni","submitted_at":"2018-10-04T16:37:29Z","abstract_excerpt":"A mixed Dirichlet-Neumann problem is regularized with a family of singularly perturbed Neumann-Robin boundary problems, parametrized by $\\varepsilon > 0$. Using an asymptotic development by Gamma-convergence, the asymptotic behavior of the solutions to the perturbed problems is studied as $\\varepsilon \\to 0^+$, recovering classical results in the literature."},"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":"1810.02306","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-10-04T16:37:29Z","cross_cats_sorted":[],"title_canon_sha256":"265046f0b953c0b16b501e722d9fab4a75b6227e872acdf9ec7623d3dd9ccdf3","abstract_canon_sha256":"14650ec665a7a1f7dcec93ec26cd3fe7040cc891a6c0d920d10270e7f3d54537"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:05.665154Z","signature_b64":"b4q4BXmbTa1o74Z24VbNNHnjyGLf0+32mD+I1L/yQD8IG7jheTRlul8Ic+Iqdw4q8drezrEuwUmNTZfH/5WlDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46b9a7dcff985c5ff5243effa89b7403b7efefe60a6f64110450902e1e565ba9","last_reissued_at":"2026-05-18T00:04:05.664453Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:05.664453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Higher order Gamma-limits for singularly perturbed Dirichlet-Neumann problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Giovanni Gravina, Giovanni Leoni","submitted_at":"2018-10-04T16:37:29Z","abstract_excerpt":"A mixed Dirichlet-Neumann problem is regularized with a family of singularly perturbed Neumann-Robin boundary problems, parametrized by $\\varepsilon > 0$. Using an asymptotic development by Gamma-convergence, the asymptotic behavior of the solutions to the perturbed problems is studied as $\\varepsilon \\to 0^+$, recovering classical results in the literature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.02306","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":"1810.02306","created_at":"2026-05-18T00:04:05.664571+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.02306v1","created_at":"2026-05-18T00:04:05.664571+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.02306","created_at":"2026-05-18T00:04:05.664571+00:00"},{"alias_kind":"pith_short_12","alias_value":"I242PXH7TBOF","created_at":"2026-05-18T12:32:28.185984+00:00"},{"alias_kind":"pith_short_16","alias_value":"I242PXH7TBOF75JE","created_at":"2026-05-18T12:32:28.185984+00:00"},{"alias_kind":"pith_short_8","alias_value":"I242PXH7","created_at":"2026-05-18T12:32:28.185984+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/I242PXH7TBOF75JEH372RG3UAO","json":"https://pith.science/pith/I242PXH7TBOF75JEH372RG3UAO.json","graph_json":"https://pith.science/api/pith-number/I242PXH7TBOF75JEH372RG3UAO/graph.json","events_json":"https://pith.science/api/pith-number/I242PXH7TBOF75JEH372RG3UAO/events.json","paper":"https://pith.science/paper/I242PXH7"},"agent_actions":{"view_html":"https://pith.science/pith/I242PXH7TBOF75JEH372RG3UAO","download_json":"https://pith.science/pith/I242PXH7TBOF75JEH372RG3UAO.json","view_paper":"https://pith.science/paper/I242PXH7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.02306&json=true","fetch_graph":"https://pith.science/api/pith-number/I242PXH7TBOF75JEH372RG3UAO/graph.json","fetch_events":"https://pith.science/api/pith-number/I242PXH7TBOF75JEH372RG3UAO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I242PXH7TBOF75JEH372RG3UAO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I242PXH7TBOF75JEH372RG3UAO/action/storage_attestation","attest_author":"https://pith.science/pith/I242PXH7TBOF75JEH372RG3UAO/action/author_attestation","sign_citation":"https://pith.science/pith/I242PXH7TBOF75JEH372RG3UAO/action/citation_signature","submit_replication":"https://pith.science/pith/I242PXH7TBOF75JEH372RG3UAO/action/replication_record"}},"created_at":"2026-05-18T00:04:05.664571+00:00","updated_at":"2026-05-18T00:04:05.664571+00:00"}