{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:PK6FEVM2KQ2YXAXA3PDKS64OZO","short_pith_number":"pith:PK6FEVM2","schema_version":"1.0","canonical_sha256":"7abc52559a54358b82e0dbc6a97b8ecb851095b2defcbac2ed756f5f818c6ea8","source":{"kind":"arxiv","id":"0910.2086","version":1},"attestation_state":"computed","paper":{"title":"Rigorous and heuristic treatment of sensitive singular perturbations arising in elliptic shells","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Evariste Sanchez-Palencia (LMM), Nicolas Meunier (MAP5), Yuri Egorov (MIP)","submitted_at":"2009-10-12T05:42:42Z","abstract_excerpt":"We consider singular perturbations of elliptic systems depending on a parameter ? such that, for ? = 0 the boundary conditions are not adapted to the equation (they do not satisfy the Shapiro - Lopatinskii condition). The limit holds only in very abstract spaces out of distribu- tion theory involving complexi?cation and non-local phenomena. This system appears in the thin shell theory when the middle surface is el- liptic and the shell is fixed on a part of the boundary and free on the rest. We use a heuristic reasoning applying some simplifications which allow to reduce the original problem i"},"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":"0910.2086","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2009-10-12T05:42:42Z","cross_cats_sorted":[],"title_canon_sha256":"8e384027100b2399c090f868abd301ba8c65561bf06b0bb91fd1c1925667936c","abstract_canon_sha256":"0fc1ca7360746a8be276e7297fd6c236fdf6ac3b706a787fc994f354d0f893ee"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:58.591193Z","signature_b64":"OM78Qv6PoqhB/q8fNFTlrTHQqcH5NRSr6pKuqN0mRhCjvvEVrHSKNn4YO2YxBMWFFuyZD3AZ+p19LRvEEJFDBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7abc52559a54358b82e0dbc6a97b8ecb851095b2defcbac2ed756f5f818c6ea8","last_reissued_at":"2026-05-18T00:56:58.590670Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:58.590670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rigorous and heuristic treatment of sensitive singular perturbations arising in elliptic shells","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Evariste Sanchez-Palencia (LMM), Nicolas Meunier (MAP5), Yuri Egorov (MIP)","submitted_at":"2009-10-12T05:42:42Z","abstract_excerpt":"We consider singular perturbations of elliptic systems depending on a parameter ? such that, for ? = 0 the boundary conditions are not adapted to the equation (they do not satisfy the Shapiro - Lopatinskii condition). The limit holds only in very abstract spaces out of distribu- tion theory involving complexi?cation and non-local phenomena. This system appears in the thin shell theory when the middle surface is el- liptic and the shell is fixed on a part of the boundary and free on the rest. We use a heuristic reasoning applying some simplifications which allow to reduce the original problem i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.2086","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":"0910.2086","created_at":"2026-05-18T00:56:58.590750+00:00"},{"alias_kind":"arxiv_version","alias_value":"0910.2086v1","created_at":"2026-05-18T00:56:58.590750+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.2086","created_at":"2026-05-18T00:56:58.590750+00:00"},{"alias_kind":"pith_short_12","alias_value":"PK6FEVM2KQ2Y","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_16","alias_value":"PK6FEVM2KQ2YXAXA","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_8","alias_value":"PK6FEVM2","created_at":"2026-05-18T12:26:01.383474+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/PK6FEVM2KQ2YXAXA3PDKS64OZO","json":"https://pith.science/pith/PK6FEVM2KQ2YXAXA3PDKS64OZO.json","graph_json":"https://pith.science/api/pith-number/PK6FEVM2KQ2YXAXA3PDKS64OZO/graph.json","events_json":"https://pith.science/api/pith-number/PK6FEVM2KQ2YXAXA3PDKS64OZO/events.json","paper":"https://pith.science/paper/PK6FEVM2"},"agent_actions":{"view_html":"https://pith.science/pith/PK6FEVM2KQ2YXAXA3PDKS64OZO","download_json":"https://pith.science/pith/PK6FEVM2KQ2YXAXA3PDKS64OZO.json","view_paper":"https://pith.science/paper/PK6FEVM2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0910.2086&json=true","fetch_graph":"https://pith.science/api/pith-number/PK6FEVM2KQ2YXAXA3PDKS64OZO/graph.json","fetch_events":"https://pith.science/api/pith-number/PK6FEVM2KQ2YXAXA3PDKS64OZO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PK6FEVM2KQ2YXAXA3PDKS64OZO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PK6FEVM2KQ2YXAXA3PDKS64OZO/action/storage_attestation","attest_author":"https://pith.science/pith/PK6FEVM2KQ2YXAXA3PDKS64OZO/action/author_attestation","sign_citation":"https://pith.science/pith/PK6FEVM2KQ2YXAXA3PDKS64OZO/action/citation_signature","submit_replication":"https://pith.science/pith/PK6FEVM2KQ2YXAXA3PDKS64OZO/action/replication_record"}},"created_at":"2026-05-18T00:56:58.590750+00:00","updated_at":"2026-05-18T00:56:58.590750+00:00"}