{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:GVGI4FP65UBHZSDVYUTTPYUGFY","short_pith_number":"pith:GVGI4FP6","canonical_record":{"source":{"id":"1404.3298","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-12T15:45:24Z","cross_cats_sorted":["math-ph","math.DG","math.MP"],"title_canon_sha256":"59de6bbbec85551552b23c09d5d9eb850e900e183fa1e305f6def8fdf30932fe","abstract_canon_sha256":"5fee6890ac5ed93dc380cdd6959e47c19115513d201276ab4502c1b0db165a8f"},"schema_version":"1.0"},"canonical_sha256":"354c8e15feed027cc875c52737e2862e206076c866915d13739d5a1a47d7f74f","source":{"kind":"arxiv","id":"1404.3298","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.3298","created_at":"2026-05-18T02:54:15Z"},{"alias_kind":"arxiv_version","alias_value":"1404.3298v1","created_at":"2026-05-18T02:54:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.3298","created_at":"2026-05-18T02:54:15Z"},{"alias_kind":"pith_short_12","alias_value":"GVGI4FP65UBH","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GVGI4FP65UBHZSDV","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GVGI4FP6","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:GVGI4FP65UBHZSDVYUTTPYUGFY","target":"record","payload":{"canonical_record":{"source":{"id":"1404.3298","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-12T15:45:24Z","cross_cats_sorted":["math-ph","math.DG","math.MP"],"title_canon_sha256":"59de6bbbec85551552b23c09d5d9eb850e900e183fa1e305f6def8fdf30932fe","abstract_canon_sha256":"5fee6890ac5ed93dc380cdd6959e47c19115513d201276ab4502c1b0db165a8f"},"schema_version":"1.0"},"canonical_sha256":"354c8e15feed027cc875c52737e2862e206076c866915d13739d5a1a47d7f74f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:15.454848Z","signature_b64":"yBSlztOn2xrXQsFhA/3pkQsWMUFVHyYCuPKzmVhSCag4sp4HG6NQm4j9UDrImmXxxoNwnY7Cdxyek1OcntN+DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"354c8e15feed027cc875c52737e2862e206076c866915d13739d5a1a47d7f74f","last_reissued_at":"2026-05-18T02:54:15.454357Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:15.454357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.3298","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":"2026-05-18T02:54:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gW9D7E7CeLuAEJRymmX+Iy8+rEsfpLwY1n1fyOIDAaIB2S+LNFJNU5mDZPPMKQKlDDDCLJSgArr7XCXYGLqzCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T01:12:11.309173Z"},"content_sha256":"194ca769f4498757c7e429c3113b0fe9e8970fc042589f491d2687b11e2c9227","schema_version":"1.0","event_id":"sha256:194ca769f4498757c7e429c3113b0fe9e8970fc042589f491d2687b11e2c9227"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:GVGI4FP65UBHZSDVYUTTPYUGFY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Variational models for prestrained plates with Monge-Amp\\`ere constraint","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DG","math.MP"],"primary_cat":"math.AP","authors_text":"Marta Lewicka, Mohammad Reza Pakzad, Pablo Ochoa","submitted_at":"2014-04-12T15:45:24Z","abstract_excerpt":"We derive a new model for pre-strained thin films, which consists of minimizing a biharmonic energy of deformations $v\\in W^{2,2}$ satisfying the Monge-Amp\\`ere constraint $\\det\\nabla^2v = f$. We further discuss multiplicity properties of the minimizers of this model, in some special cases."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.3298","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":"2026-05-18T02:54:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xV9DEak+5l6sL+uvG+mbqVXjL8btbPsPHPR+YZHJ9m7DeNBOduTIjLVXcsVWNKR0wwFzagC9j+b2VJtru1nhBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T01:12:11.309535Z"},"content_sha256":"4a59f223578a07489c964f984caecda57e6dd6f4268cd6bd4f795c6fc8a5bf67","schema_version":"1.0","event_id":"sha256:4a59f223578a07489c964f984caecda57e6dd6f4268cd6bd4f795c6fc8a5bf67"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GVGI4FP65UBHZSDVYUTTPYUGFY/bundle.json","state_url":"https://pith.science/pith/GVGI4FP65UBHZSDVYUTTPYUGFY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GVGI4FP65UBHZSDVYUTTPYUGFY/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":"2026-06-04T01:12:11Z","links":{"resolver":"https://pith.science/pith/GVGI4FP65UBHZSDVYUTTPYUGFY","bundle":"https://pith.science/pith/GVGI4FP65UBHZSDVYUTTPYUGFY/bundle.json","state":"https://pith.science/pith/GVGI4FP65UBHZSDVYUTTPYUGFY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GVGI4FP65UBHZSDVYUTTPYUGFY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GVGI4FP65UBHZSDVYUTTPYUGFY","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":"5fee6890ac5ed93dc380cdd6959e47c19115513d201276ab4502c1b0db165a8f","cross_cats_sorted":["math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-12T15:45:24Z","title_canon_sha256":"59de6bbbec85551552b23c09d5d9eb850e900e183fa1e305f6def8fdf30932fe"},"schema_version":"1.0","source":{"id":"1404.3298","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.3298","created_at":"2026-05-18T02:54:15Z"},{"alias_kind":"arxiv_version","alias_value":"1404.3298v1","created_at":"2026-05-18T02:54:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.3298","created_at":"2026-05-18T02:54:15Z"},{"alias_kind":"pith_short_12","alias_value":"GVGI4FP65UBH","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GVGI4FP65UBHZSDV","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GVGI4FP6","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:4a59f223578a07489c964f984caecda57e6dd6f4268cd6bd4f795c6fc8a5bf67","target":"graph","created_at":"2026-05-18T02:54:15Z","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":"We derive a new model for pre-strained thin films, which consists of minimizing a biharmonic energy of deformations $v\\in W^{2,2}$ satisfying the Monge-Amp\\`ere constraint $\\det\\nabla^2v = f$. We further discuss multiplicity properties of the minimizers of this model, in some special cases.","authors_text":"Marta Lewicka, Mohammad Reza Pakzad, Pablo Ochoa","cross_cats":["math-ph","math.DG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-12T15:45:24Z","title":"Variational models for prestrained plates with Monge-Amp\\`ere constraint"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.3298","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":"sha256:194ca769f4498757c7e429c3113b0fe9e8970fc042589f491d2687b11e2c9227","target":"record","created_at":"2026-05-18T02:54:15Z","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":"5fee6890ac5ed93dc380cdd6959e47c19115513d201276ab4502c1b0db165a8f","cross_cats_sorted":["math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-12T15:45:24Z","title_canon_sha256":"59de6bbbec85551552b23c09d5d9eb850e900e183fa1e305f6def8fdf30932fe"},"schema_version":"1.0","source":{"id":"1404.3298","kind":"arxiv","version":1}},"canonical_sha256":"354c8e15feed027cc875c52737e2862e206076c866915d13739d5a1a47d7f74f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"354c8e15feed027cc875c52737e2862e206076c866915d13739d5a1a47d7f74f","first_computed_at":"2026-05-18T02:54:15.454357Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:15.454357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yBSlztOn2xrXQsFhA/3pkQsWMUFVHyYCuPKzmVhSCag4sp4HG6NQm4j9UDrImmXxxoNwnY7Cdxyek1OcntN+DA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:15.454848Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.3298","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:194ca769f4498757c7e429c3113b0fe9e8970fc042589f491d2687b11e2c9227","sha256:4a59f223578a07489c964f984caecda57e6dd6f4268cd6bd4f795c6fc8a5bf67"],"state_sha256":"fdee643d6ce551dfbc634347b461281e96ed169f3089908c3926b4fb9342718a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dRPQKwRayhRaly1eQPMarQHmgRE00lLaMSUirWzEGetIg6FPnlqn/LbciF2EixvjXXuuGC6ZSnw/QA7CXkKyCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T01:12:11.311452Z","bundle_sha256":"da7c247aaed52bdcb6288ac3e018ea870cfcb5e11533b7095772cc4d4db60fb5"}}