{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:2UO6IJGNFZKDYDDC2GWTB7OX6U","short_pith_number":"pith:2UO6IJGN","schema_version":"1.0","canonical_sha256":"d51de424cd2e543c0c62d1ad30fdd7f51869478557e930859f57fd8643699f05","source":{"kind":"arxiv","id":"1612.05761","version":1},"attestation_state":"computed","paper":{"title":"Finite time singularity in a MEMS model revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Christoph Walker (IFAM), Philippe Lauren\\c{c}ot (IMT)","submitted_at":"2016-12-17T13:43:00Z","abstract_excerpt":"A free boundary problem modeling a microelectromechanical system (MEMS) consisting of a fixed ground plate and a deformable top plate is considered, the plates being held at different electrostatic potentials. It couples a second order semilinear parabolic equation for the deformation of the top plate to a Laplace equation for the electrostatic potential in the device. The validity of the model is expected to break down in finite time when the applied voltage exceeds a certain value, a finite time singularity occurring then. This result, already known for non-positive initial configurations of"},"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":"1612.05761","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-12-17T13:43:00Z","cross_cats_sorted":[],"title_canon_sha256":"1402eafd1f4c2f382a10c5ec98364586f7c19e8b3e303d4bab793e3016d8eb05","abstract_canon_sha256":"a70d5ee051a0a9e66e468ddd3c152a9a4fc74db577fc3d47a20f9ab676be8c17"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:46.799096Z","signature_b64":"ERfFIcRaXcsKRR2dSB7SMxiCseU+fTeSv6RQ9dHXj1fT1w/H8T2Vd7TgTVbGbQvJodP4BfCLRrewtRXgCijwAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d51de424cd2e543c0c62d1ad30fdd7f51869478557e930859f57fd8643699f05","last_reissued_at":"2026-05-18T00:54:46.798693Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:46.798693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Finite time singularity in a MEMS model revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Christoph Walker (IFAM), Philippe Lauren\\c{c}ot (IMT)","submitted_at":"2016-12-17T13:43:00Z","abstract_excerpt":"A free boundary problem modeling a microelectromechanical system (MEMS) consisting of a fixed ground plate and a deformable top plate is considered, the plates being held at different electrostatic potentials. It couples a second order semilinear parabolic equation for the deformation of the top plate to a Laplace equation for the electrostatic potential in the device. The validity of the model is expected to break down in finite time when the applied voltage exceeds a certain value, a finite time singularity occurring then. This result, already known for non-positive initial configurations of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.05761","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":"1612.05761","created_at":"2026-05-18T00:54:46.798761+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.05761v1","created_at":"2026-05-18T00:54:46.798761+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.05761","created_at":"2026-05-18T00:54:46.798761+00:00"},{"alias_kind":"pith_short_12","alias_value":"2UO6IJGNFZKD","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_16","alias_value":"2UO6IJGNFZKDYDDC","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_8","alias_value":"2UO6IJGN","created_at":"2026-05-18T12:29:55.572404+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/2UO6IJGNFZKDYDDC2GWTB7OX6U","json":"https://pith.science/pith/2UO6IJGNFZKDYDDC2GWTB7OX6U.json","graph_json":"https://pith.science/api/pith-number/2UO6IJGNFZKDYDDC2GWTB7OX6U/graph.json","events_json":"https://pith.science/api/pith-number/2UO6IJGNFZKDYDDC2GWTB7OX6U/events.json","paper":"https://pith.science/paper/2UO6IJGN"},"agent_actions":{"view_html":"https://pith.science/pith/2UO6IJGNFZKDYDDC2GWTB7OX6U","download_json":"https://pith.science/pith/2UO6IJGNFZKDYDDC2GWTB7OX6U.json","view_paper":"https://pith.science/paper/2UO6IJGN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.05761&json=true","fetch_graph":"https://pith.science/api/pith-number/2UO6IJGNFZKDYDDC2GWTB7OX6U/graph.json","fetch_events":"https://pith.science/api/pith-number/2UO6IJGNFZKDYDDC2GWTB7OX6U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2UO6IJGNFZKDYDDC2GWTB7OX6U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2UO6IJGNFZKDYDDC2GWTB7OX6U/action/storage_attestation","attest_author":"https://pith.science/pith/2UO6IJGNFZKDYDDC2GWTB7OX6U/action/author_attestation","sign_citation":"https://pith.science/pith/2UO6IJGNFZKDYDDC2GWTB7OX6U/action/citation_signature","submit_replication":"https://pith.science/pith/2UO6IJGNFZKDYDDC2GWTB7OX6U/action/replication_record"}},"created_at":"2026-05-18T00:54:46.798761+00:00","updated_at":"2026-05-18T00:54:46.798761+00:00"}