{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:SEZDXTVKLNVZNSZF2ZVVQBNAHJ","short_pith_number":"pith:SEZDXTVK","canonical_record":{"source":{"id":"1407.3672","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-07-14T14:29:49Z","cross_cats_sorted":[],"title_canon_sha256":"1552bf7e2dc6cce9f4de9d3c97203b501aac4d8bd474fefc96cfb902337872a8","abstract_canon_sha256":"9ca092cb6dbcbcbb2dd4e8b69cde7c3f12692df524a7074f399f53a821718089"},"schema_version":"1.0"},"canonical_sha256":"91323bceaa5b6b96cb25d66b5805a03a4cc1cb831cd812f29295ee85fce14fc0","source":{"kind":"arxiv","id":"1407.3672","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.3672","created_at":"2026-05-18T01:35:35Z"},{"alias_kind":"arxiv_version","alias_value":"1407.3672v1","created_at":"2026-05-18T01:35:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.3672","created_at":"2026-05-18T01:35:35Z"},{"alias_kind":"pith_short_12","alias_value":"SEZDXTVKLNVZ","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SEZDXTVKLNVZNSZF","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SEZDXTVK","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:SEZDXTVKLNVZNSZF2ZVVQBNAHJ","target":"record","payload":{"canonical_record":{"source":{"id":"1407.3672","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-07-14T14:29:49Z","cross_cats_sorted":[],"title_canon_sha256":"1552bf7e2dc6cce9f4de9d3c97203b501aac4d8bd474fefc96cfb902337872a8","abstract_canon_sha256":"9ca092cb6dbcbcbb2dd4e8b69cde7c3f12692df524a7074f399f53a821718089"},"schema_version":"1.0"},"canonical_sha256":"91323bceaa5b6b96cb25d66b5805a03a4cc1cb831cd812f29295ee85fce14fc0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:35.368232Z","signature_b64":"DrncxmyUQrBEYEXKBJxekKJMo9/SruVTvYjvCixWfu2Hos1p3rcIGW2siO5m9KcNEkaUFbe4jPaSebuacCI+Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"91323bceaa5b6b96cb25d66b5805a03a4cc1cb831cd812f29295ee85fce14fc0","last_reissued_at":"2026-05-18T01:35:35.367485Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:35.367485Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.3672","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:35:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w4p/pNwzB57nzevKcQbufeZOVsUoezPr4M7QPLrthoPj5JJ5xSJ4KgYBd6bR1OGZstqj3XogGt/eG1RBG53SDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:56:29.234554Z"},"content_sha256":"d5af1ae1a40d36f9064ba0ad4db0044204ea481c9ba91739eb0c97da2b433cf9","schema_version":"1.0","event_id":"sha256:d5af1ae1a40d36f9064ba0ad4db0044204ea481c9ba91739eb0c97da2b433cf9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:SEZDXTVKLNVZNSZF2ZVVQBNAHJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The abstract quasilinear Cauchy problem for a MEMS model with two free boundaries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Martin Kohlmann","submitted_at":"2014-07-14T14:29:49Z","abstract_excerpt":"In this paper, we reformulate a mathematical model for the dynamics of an idealized electrostatically actuated MEMS device with two elastic membranes as an initial value problem for an abstract quasilinear evolution equation. Applying the Contraction Mapping Theorem, it is shown that the model is locally well-posed in time for any value of the source voltage of the device. In addition it is proven that the MEMS model considered here possesses global solutions for small source voltages whereas for large source voltages solutions of the model have a finite maximal existence time. Furthermore, we"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.3672","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:35:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OZ/2+OIUYu1KSSQ71VTGp+36ThmpFSKfPdQ9G5/55fYdcG2MlFbM7+WY6TLyrlb+BsXwBmI973L54r8pHxleAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:56:29.234898Z"},"content_sha256":"5531ccddd0597426418cff150ab2b33452e45a1ccca05568b7376edd449b702e","schema_version":"1.0","event_id":"sha256:5531ccddd0597426418cff150ab2b33452e45a1ccca05568b7376edd449b702e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SEZDXTVKLNVZNSZF2ZVVQBNAHJ/bundle.json","state_url":"https://pith.science/pith/SEZDXTVKLNVZNSZF2ZVVQBNAHJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SEZDXTVKLNVZNSZF2ZVVQBNAHJ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-03T16:56:29Z","links":{"resolver":"https://pith.science/pith/SEZDXTVKLNVZNSZF2ZVVQBNAHJ","bundle":"https://pith.science/pith/SEZDXTVKLNVZNSZF2ZVVQBNAHJ/bundle.json","state":"https://pith.science/pith/SEZDXTVKLNVZNSZF2ZVVQBNAHJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SEZDXTVKLNVZNSZF2ZVVQBNAHJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:SEZDXTVKLNVZNSZF2ZVVQBNAHJ","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":"9ca092cb6dbcbcbb2dd4e8b69cde7c3f12692df524a7074f399f53a821718089","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-07-14T14:29:49Z","title_canon_sha256":"1552bf7e2dc6cce9f4de9d3c97203b501aac4d8bd474fefc96cfb902337872a8"},"schema_version":"1.0","source":{"id":"1407.3672","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.3672","created_at":"2026-05-18T01:35:35Z"},{"alias_kind":"arxiv_version","alias_value":"1407.3672v1","created_at":"2026-05-18T01:35:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.3672","created_at":"2026-05-18T01:35:35Z"},{"alias_kind":"pith_short_12","alias_value":"SEZDXTVKLNVZ","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SEZDXTVKLNVZNSZF","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SEZDXTVK","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:5531ccddd0597426418cff150ab2b33452e45a1ccca05568b7376edd449b702e","target":"graph","created_at":"2026-05-18T01:35:35Z","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 reformulate a mathematical model for the dynamics of an idealized electrostatically actuated MEMS device with two elastic membranes as an initial value problem for an abstract quasilinear evolution equation. Applying the Contraction Mapping Theorem, it is shown that the model is locally well-posed in time for any value of the source voltage of the device. In addition it is proven that the MEMS model considered here possesses global solutions for small source voltages whereas for large source voltages solutions of the model have a finite maximal existence time. Furthermore, we","authors_text":"Martin Kohlmann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-07-14T14:29:49Z","title":"The abstract quasilinear Cauchy problem for a MEMS model with two free boundaries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.3672","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:d5af1ae1a40d36f9064ba0ad4db0044204ea481c9ba91739eb0c97da2b433cf9","target":"record","created_at":"2026-05-18T01:35:35Z","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":"9ca092cb6dbcbcbb2dd4e8b69cde7c3f12692df524a7074f399f53a821718089","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-07-14T14:29:49Z","title_canon_sha256":"1552bf7e2dc6cce9f4de9d3c97203b501aac4d8bd474fefc96cfb902337872a8"},"schema_version":"1.0","source":{"id":"1407.3672","kind":"arxiv","version":1}},"canonical_sha256":"91323bceaa5b6b96cb25d66b5805a03a4cc1cb831cd812f29295ee85fce14fc0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"91323bceaa5b6b96cb25d66b5805a03a4cc1cb831cd812f29295ee85fce14fc0","first_computed_at":"2026-05-18T01:35:35.367485Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:35.367485Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DrncxmyUQrBEYEXKBJxekKJMo9/SruVTvYjvCixWfu2Hos1p3rcIGW2siO5m9KcNEkaUFbe4jPaSebuacCI+Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:35.368232Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.3672","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5af1ae1a40d36f9064ba0ad4db0044204ea481c9ba91739eb0c97da2b433cf9","sha256:5531ccddd0597426418cff150ab2b33452e45a1ccca05568b7376edd449b702e"],"state_sha256":"e2bbfa8a62f53d098a17dd6f68bf66258edf3090dfb6227c78c220d77cd28a76"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kbGprEelSu4g2thVhHv9s1YXpZ8k63v34FHk/jNDcc8kWurYaC5ziMDGYWzG/PZqVUHL7CC5eA8P1pR18qgLBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T16:56:29.236887Z","bundle_sha256":"29c5c4438a1a27bb391d6de340b4619fb4c48156477eb3b9a502b1a44ff2d4f9"}}