{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:QMWGG7ZTOMO3FPDROAEWIVOIJL","short_pith_number":"pith:QMWGG7ZT","canonical_record":{"source":{"id":"2311.04810","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2023-11-08T16:33:42Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"ba0f3fe34f01265fe51a06f6445151538f58d330fd77cb88aaf2a3c395bdcb20","abstract_canon_sha256":"78d744800d8d89e009bbb1ca68d4224f0290da2f7ee70eb744bbfe9e072bc22b"},"schema_version":"1.0"},"canonical_sha256":"832c637f33731db2bc7170096455c84ac3abf3ea7214c50db4f2ad920031852d","source":{"kind":"arxiv","id":"2311.04810","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.04810","created_at":"2026-07-05T09:27:51Z"},{"alias_kind":"arxiv_version","alias_value":"2311.04810v2","created_at":"2026-07-05T09:27:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.04810","created_at":"2026-07-05T09:27:51Z"},{"alias_kind":"pith_short_12","alias_value":"QMWGG7ZTOMO3","created_at":"2026-07-05T09:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"QMWGG7ZTOMO3FPDR","created_at":"2026-07-05T09:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"QMWGG7ZT","created_at":"2026-07-05T09:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:QMWGG7ZTOMO3FPDROAEWIVOIJL","target":"record","payload":{"canonical_record":{"source":{"id":"2311.04810","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2023-11-08T16:33:42Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"ba0f3fe34f01265fe51a06f6445151538f58d330fd77cb88aaf2a3c395bdcb20","abstract_canon_sha256":"78d744800d8d89e009bbb1ca68d4224f0290da2f7ee70eb744bbfe9e072bc22b"},"schema_version":"1.0"},"canonical_sha256":"832c637f33731db2bc7170096455c84ac3abf3ea7214c50db4f2ad920031852d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:27:51.749784Z","signature_b64":"sq/bWeec4vVriEfIbHc6Fi1VEEvGJu1o9btRqVQ4QUHQnTexOsNARbIYvApPp40bo9Eb6CNXggmcTLKx19yWAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"832c637f33731db2bc7170096455c84ac3abf3ea7214c50db4f2ad920031852d","last_reissued_at":"2026-07-05T09:27:51.749337Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:27:51.749337Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2311.04810","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":"2026-07-05T09:27:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iSspsLIghgPguncY6avf11H2naMQv1z4xHDLElQxVW4aqRMzxuHwdwcAWOX6quPSCSKVSXXZY9k7JYDkhHfpBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T18:29:20.688766Z"},"content_sha256":"fd3a66f734bbd4daaf72a2f47a74be1a36ec973570bfc388bf4642643bcfa343","schema_version":"1.0","event_id":"sha256:fd3a66f734bbd4daaf72a2f47a74be1a36ec973570bfc388bf4642643bcfa343"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:QMWGG7ZTOMO3FPDROAEWIVOIJL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite Element Methods for the Stretching and Bending of Thin Structures with Folding","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Andrea Bonito, Angelique Morvant, Diane Guignard","submitted_at":"2023-11-08T16:33:42Z","abstract_excerpt":"In [Bonito et al., J. Comput. Phys. (2022)], a local discontinuous Galerkin method was proposed for approximating the large bending of prestrained plates, and in [Bonito et al., IMA J. Numer. Anal. (2023)] the numerical properties of this method were explored. These works considered deformations driven predominantly by bending. Thus, a bending energy with a metric constraint was considered. We extend these results to the case of an energy with both a bending component and a nonconvex stretching component, and we also consider folding across a crease. The proposed discretization of this energy "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.04810","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2311.04810/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:27:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jg6ugWPlm4dAtnDGVf4EW16fnW3VU0Msrzw7JgzR5n/DvyTAdSe1Z5iJWAaubbmbo+Q9u8WRaP8Cz6bO8BWpBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T18:29:20.689320Z"},"content_sha256":"deff6ac7dbe4612065f1cb5aaea382884b3830747b2e89c5e6df0ee77153d343","schema_version":"1.0","event_id":"sha256:deff6ac7dbe4612065f1cb5aaea382884b3830747b2e89c5e6df0ee77153d343"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QMWGG7ZTOMO3FPDROAEWIVOIJL/bundle.json","state_url":"https://pith.science/pith/QMWGG7ZTOMO3FPDROAEWIVOIJL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QMWGG7ZTOMO3FPDROAEWIVOIJL/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":"2026-08-07T18:29:20Z","links":{"resolver":"https://pith.science/pith/QMWGG7ZTOMO3FPDROAEWIVOIJL","bundle":"https://pith.science/pith/QMWGG7ZTOMO3FPDROAEWIVOIJL/bundle.json","state":"https://pith.science/pith/QMWGG7ZTOMO3FPDROAEWIVOIJL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QMWGG7ZTOMO3FPDROAEWIVOIJL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:QMWGG7ZTOMO3FPDROAEWIVOIJL","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":"78d744800d8d89e009bbb1ca68d4224f0290da2f7ee70eb744bbfe9e072bc22b","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2023-11-08T16:33:42Z","title_canon_sha256":"ba0f3fe34f01265fe51a06f6445151538f58d330fd77cb88aaf2a3c395bdcb20"},"schema_version":"1.0","source":{"id":"2311.04810","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.04810","created_at":"2026-07-05T09:27:51Z"},{"alias_kind":"arxiv_version","alias_value":"2311.04810v2","created_at":"2026-07-05T09:27:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.04810","created_at":"2026-07-05T09:27:51Z"},{"alias_kind":"pith_short_12","alias_value":"QMWGG7ZTOMO3","created_at":"2026-07-05T09:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"QMWGG7ZTOMO3FPDR","created_at":"2026-07-05T09:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"QMWGG7ZT","created_at":"2026-07-05T09:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:deff6ac7dbe4612065f1cb5aaea382884b3830747b2e89c5e6df0ee77153d343","target":"graph","created_at":"2026-07-05T09:27:51Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2311.04810/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In [Bonito et al., J. Comput. Phys. (2022)], a local discontinuous Galerkin method was proposed for approximating the large bending of prestrained plates, and in [Bonito et al., IMA J. Numer. Anal. (2023)] the numerical properties of this method were explored. These works considered deformations driven predominantly by bending. Thus, a bending energy with a metric constraint was considered. We extend these results to the case of an energy with both a bending component and a nonconvex stretching component, and we also consider folding across a crease. The proposed discretization of this energy ","authors_text":"Andrea Bonito, Angelique Morvant, Diane Guignard","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2023-11-08T16:33:42Z","title":"Finite Element Methods for the Stretching and Bending of Thin Structures with Folding"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.04810","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:fd3a66f734bbd4daaf72a2f47a74be1a36ec973570bfc388bf4642643bcfa343","target":"record","created_at":"2026-07-05T09:27:51Z","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":"78d744800d8d89e009bbb1ca68d4224f0290da2f7ee70eb744bbfe9e072bc22b","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2023-11-08T16:33:42Z","title_canon_sha256":"ba0f3fe34f01265fe51a06f6445151538f58d330fd77cb88aaf2a3c395bdcb20"},"schema_version":"1.0","source":{"id":"2311.04810","kind":"arxiv","version":2}},"canonical_sha256":"832c637f33731db2bc7170096455c84ac3abf3ea7214c50db4f2ad920031852d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"832c637f33731db2bc7170096455c84ac3abf3ea7214c50db4f2ad920031852d","first_computed_at":"2026-07-05T09:27:51.749337Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:27:51.749337Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sq/bWeec4vVriEfIbHc6Fi1VEEvGJu1o9btRqVQ4QUHQnTexOsNARbIYvApPp40bo9Eb6CNXggmcTLKx19yWAw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:27:51.749784Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.04810","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd3a66f734bbd4daaf72a2f47a74be1a36ec973570bfc388bf4642643bcfa343","sha256:deff6ac7dbe4612065f1cb5aaea382884b3830747b2e89c5e6df0ee77153d343"],"state_sha256":"08e02f6ec1880753492b2a3d8fcfdbb69751f7db0c8508d6da4257cadbf37756"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MR01bJ5G6BV588Cm/dh+g8N7t1JbEAd3oDBGhNi/5kIcduy2P3TcEHIEa6xpHSYXrScTfY4ZIbkmVTFVU2RgCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T18:29:20.693451Z","bundle_sha256":"12dca4792da1a5c5a352d1f20cdd5bd444893d66de384f9635be39510126b431"}}