{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:EFDMEZNMRSFSY3Z7LBZ44DSPXC","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":"9c113eeabb3da175f0da34408519a6b4f481202b15c9850693041ee689408f59","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-31T14:18:57Z","title_canon_sha256":"886c911917470b09efb9af2bfc81cf8c2acb2c2cfa831d23d9c03ddd11f89deb"},"schema_version":"1.0","source":{"id":"1305.7407","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.7407","created_at":"2026-05-18T03:00:37Z"},{"alias_kind":"arxiv_version","alias_value":"1305.7407v1","created_at":"2026-05-18T03:00:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.7407","created_at":"2026-05-18T03:00:37Z"},{"alias_kind":"pith_short_12","alias_value":"EFDMEZNMRSFS","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EFDMEZNMRSFSY3Z7","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EFDMEZNM","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:9b81d8ef7492e9b3803445958bb31ee13f8ae5d6e268842dd049fb4bd56a7bed","target":"graph","created_at":"2026-05-18T03:00:37Z","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":"The occurrence of a finite time singularity is shown for a free boundary problem modeling microelectromechanical systems (MEMS) when the applied voltage exceeds some value. The model involves a singular nonlocal reaction term and a nonlinear curvature term accounting for large deformations.","authors_text":"Christoph Walker (IFAM), Joachim Escher (IFAM), Philippe Laurencot (IMT)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-31T14:18:57Z","title":"Finite time singularity in a free boundary problem modeling MEMS"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.7407","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":"sha256:29b393b1f040a8904887f7636aed93d0b687116b8a2626e44aac146420e526d4","target":"record","created_at":"2026-05-18T03:00:37Z","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":"9c113eeabb3da175f0da34408519a6b4f481202b15c9850693041ee689408f59","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-31T14:18:57Z","title_canon_sha256":"886c911917470b09efb9af2bfc81cf8c2acb2c2cfa831d23d9c03ddd11f89deb"},"schema_version":"1.0","source":{"id":"1305.7407","kind":"arxiv","version":1}},"canonical_sha256":"2146c265ac8c8b2c6f3f5873ce0e4fb89d23fb37afa5e53517dd820024ea9c7f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2146c265ac8c8b2c6f3f5873ce0e4fb89d23fb37afa5e53517dd820024ea9c7f","first_computed_at":"2026-05-18T03:00:37.284431Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:00:37.284431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MdV405245TBhKB4Ln88zpv8bF3UkrSVVWBkgYFHJeboofRbXX1pmibz26IpF7CWM0fEQ0Lp0L17aJ+8S1ysFCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:00:37.285363Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.7407","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:29b393b1f040a8904887f7636aed93d0b687116b8a2626e44aac146420e526d4","sha256:9b81d8ef7492e9b3803445958bb31ee13f8ae5d6e268842dd049fb4bd56a7bed"],"state_sha256":"1d664d5f29e3b9b082c9c08d62a7482853772a05457ad3cc9673d7cb2a039d2e"}