{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:JKS3BFCL2OFLNRREZIWZSA7L3J","short_pith_number":"pith:JKS3BFCL","canonical_record":{"source":{"id":"1310.1794","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-07T14:20:01Z","cross_cats_sorted":[],"title_canon_sha256":"0990341fde3d8b23ecc1384c72104d331555d59aa79f9db38bdf2633637baf14","abstract_canon_sha256":"a12997e0bc6f35f445c3604db3e3098c1fa6958288c763d7b1aab6078a53ac78"},"schema_version":"1.0"},"canonical_sha256":"4aa5b0944bd38ab6c624ca2d9903ebda7a8cb9dd5ffa455747797bd0cff6053b","source":{"kind":"arxiv","id":"1310.1794","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.1794","created_at":"2026-05-18T02:54:46Z"},{"alias_kind":"arxiv_version","alias_value":"1310.1794v2","created_at":"2026-05-18T02:54:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1794","created_at":"2026-05-18T02:54:46Z"},{"alias_kind":"pith_short_12","alias_value":"JKS3BFCL2OFL","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JKS3BFCL2OFLNRRE","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JKS3BFCL","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:JKS3BFCL2OFLNRREZIWZSA7L3J","target":"record","payload":{"canonical_record":{"source":{"id":"1310.1794","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-07T14:20:01Z","cross_cats_sorted":[],"title_canon_sha256":"0990341fde3d8b23ecc1384c72104d331555d59aa79f9db38bdf2633637baf14","abstract_canon_sha256":"a12997e0bc6f35f445c3604db3e3098c1fa6958288c763d7b1aab6078a53ac78"},"schema_version":"1.0"},"canonical_sha256":"4aa5b0944bd38ab6c624ca2d9903ebda7a8cb9dd5ffa455747797bd0cff6053b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:46.807508Z","signature_b64":"5OA+Ug7aOza6i7HBZg5ntuO2s+Vl9lDskHrJG6lhsuIiMESjqP5yCgE0iAIAZsrAtMVshvSRDKW1C4ReM1YLCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4aa5b0944bd38ab6c624ca2d9903ebda7a8cb9dd5ffa455747797bd0cff6053b","last_reissued_at":"2026-05-18T02:54:46.807097Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:46.807097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.1794","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:54:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hC/WZ8LJILIVpWEF6OQ8KIXwZDH73X8s5z8p4dXEEpQIa4DQYuSW4a5xQPW/EjxPf+gTRY6/S5JomgUMgaPfDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T19:32:36.830138Z"},"content_sha256":"591b2899eacf35e228eb3bf4d6b660c3760592dc49d04ea428413242a69f77a0","schema_version":"1.0","event_id":"sha256:591b2899eacf35e228eb3bf4d6b660c3760592dc49d04ea428413242a69f77a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:JKS3BFCL2OFLNRREZIWZSA7L3J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Attainment results for nematic elastomers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"A. DeSimone, G. Dal Maso, V. Agostiniani","submitted_at":"2013-10-07T14:20:01Z","abstract_excerpt":"We consider a class of non-quasiconvex frame indifferent energy densities which includes Ogden-type energy densities for nematic elastomers. For the corresponding geometrically linear problem we provide an explicit minimizer of the energy functional satisfying a nontrivial boundary condition. Other attainment results, both for the nonlinear and the linearized model, are obtained by using the theory of convex integration introduced by M\\\"uller and Sver\\'ak in the context of crystalline solids."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1794","kind":"arxiv","version":2},"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":"2026-05-18T02:54:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DU9hLzPiDZ/FxgG3OJoJbSX6DYUyViHbu+Mj8gx2CbDDtnlKpLHYDz0l7JEgtvVB4gHU7uuLW+s6Es6nMHQbCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T19:32:36.830496Z"},"content_sha256":"14ae324765a64546d94505b7f0252f4e1931a60cf83472ce7324534d6a08580a","schema_version":"1.0","event_id":"sha256:14ae324765a64546d94505b7f0252f4e1931a60cf83472ce7324534d6a08580a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JKS3BFCL2OFLNRREZIWZSA7L3J/bundle.json","state_url":"https://pith.science/pith/JKS3BFCL2OFLNRREZIWZSA7L3J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JKS3BFCL2OFLNRREZIWZSA7L3J/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":"2026-06-02T19:32:36Z","links":{"resolver":"https://pith.science/pith/JKS3BFCL2OFLNRREZIWZSA7L3J","bundle":"https://pith.science/pith/JKS3BFCL2OFLNRREZIWZSA7L3J/bundle.json","state":"https://pith.science/pith/JKS3BFCL2OFLNRREZIWZSA7L3J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JKS3BFCL2OFLNRREZIWZSA7L3J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:JKS3BFCL2OFLNRREZIWZSA7L3J","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":"a12997e0bc6f35f445c3604db3e3098c1fa6958288c763d7b1aab6078a53ac78","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-07T14:20:01Z","title_canon_sha256":"0990341fde3d8b23ecc1384c72104d331555d59aa79f9db38bdf2633637baf14"},"schema_version":"1.0","source":{"id":"1310.1794","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.1794","created_at":"2026-05-18T02:54:46Z"},{"alias_kind":"arxiv_version","alias_value":"1310.1794v2","created_at":"2026-05-18T02:54:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1794","created_at":"2026-05-18T02:54:46Z"},{"alias_kind":"pith_short_12","alias_value":"JKS3BFCL2OFL","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JKS3BFCL2OFLNRRE","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JKS3BFCL","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:14ae324765a64546d94505b7f0252f4e1931a60cf83472ce7324534d6a08580a","target":"graph","created_at":"2026-05-18T02:54:46Z","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 consider a class of non-quasiconvex frame indifferent energy densities which includes Ogden-type energy densities for nematic elastomers. For the corresponding geometrically linear problem we provide an explicit minimizer of the energy functional satisfying a nontrivial boundary condition. Other attainment results, both for the nonlinear and the linearized model, are obtained by using the theory of convex integration introduced by M\\\"uller and Sver\\'ak in the context of crystalline solids.","authors_text":"A. DeSimone, G. Dal Maso, V. Agostiniani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-07T14:20:01Z","title":"Attainment results for nematic elastomers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1794","kind":"arxiv","version":2},"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":"sha256:591b2899eacf35e228eb3bf4d6b660c3760592dc49d04ea428413242a69f77a0","target":"record","created_at":"2026-05-18T02:54:46Z","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":"a12997e0bc6f35f445c3604db3e3098c1fa6958288c763d7b1aab6078a53ac78","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-07T14:20:01Z","title_canon_sha256":"0990341fde3d8b23ecc1384c72104d331555d59aa79f9db38bdf2633637baf14"},"schema_version":"1.0","source":{"id":"1310.1794","kind":"arxiv","version":2}},"canonical_sha256":"4aa5b0944bd38ab6c624ca2d9903ebda7a8cb9dd5ffa455747797bd0cff6053b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4aa5b0944bd38ab6c624ca2d9903ebda7a8cb9dd5ffa455747797bd0cff6053b","first_computed_at":"2026-05-18T02:54:46.807097Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:46.807097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5OA+Ug7aOza6i7HBZg5ntuO2s+Vl9lDskHrJG6lhsuIiMESjqP5yCgE0iAIAZsrAtMVshvSRDKW1C4ReM1YLCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:46.807508Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.1794","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:591b2899eacf35e228eb3bf4d6b660c3760592dc49d04ea428413242a69f77a0","sha256:14ae324765a64546d94505b7f0252f4e1931a60cf83472ce7324534d6a08580a"],"state_sha256":"e62e57692134bfdf3932511a83751f6391b8715c9ea044c580a39560937258cc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"29JIVAuq3WbMl5JqfSAbP9lstj0DC4k3SmmQeqAt+VjSqq34n7vyg2+JdzpKRJ+xB6w0dygmqYvsPa6Yh3F/CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T19:32:36.832518Z","bundle_sha256":"c67bd0f64ce6eb882ffd1b941aef495c69e1d5229233d590a29b77fbae4cb29a"}}