{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ULEPBSOAOHNWSGZGYZ7KGQMND4","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":"51a25998d446e4cc27e94f4a9239aab5b70e9d5ba04b50ff923bf91cd7e57d7f","cross_cats_sorted":["cond-mat.soft","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-09-13T16:11:27Z","title_canon_sha256":"f91120ee3bd4f4fc9cef758674a9596a89ba12dda873c5e438658df16522a028"},"schema_version":"1.0","source":{"id":"1709.04399","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.04399","created_at":"2026-05-18T00:35:14Z"},{"alias_kind":"arxiv_version","alias_value":"1709.04399v1","created_at":"2026-05-18T00:35:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.04399","created_at":"2026-05-18T00:35:14Z"},{"alias_kind":"pith_short_12","alias_value":"ULEPBSOAOHNW","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"ULEPBSOAOHNWSGZG","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"ULEPBSOA","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:01a1d702729d255bd8e6f88d94c354049f3547249c559fbda5b47362a24d91ed","target":"graph","created_at":"2026-05-18T00:35:14Z","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":"Geometric continuum models for fluid lipid membranes are considered using classical field theory, within a covariant variational approach. The approach is cast as a higher-derivative Lagrangian formulation of continuum classical field theory, and it can be seen as a covariant version of the field theoretical variational approach that uses the height representation. This novel Lagrangian formulation is presented first for a generic reparametrization invariant geometric model, deriving its equilibrium condition equation, or shape equation, and its linear and angular stress tensors, using the cla","authors_text":"Riccardo Capovilla","cross_cats":["cond-mat.soft","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-09-13T16:11:27Z","title":"Elastic bending energy: a variational approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.04399","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":"sha256:888ae42bee2313c79a377bbd44530f34de694b35357da211e6de8d995259d4f6","target":"record","created_at":"2026-05-18T00:35:14Z","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":"51a25998d446e4cc27e94f4a9239aab5b70e9d5ba04b50ff923bf91cd7e57d7f","cross_cats_sorted":["cond-mat.soft","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-09-13T16:11:27Z","title_canon_sha256":"f91120ee3bd4f4fc9cef758674a9596a89ba12dda873c5e438658df16522a028"},"schema_version":"1.0","source":{"id":"1709.04399","kind":"arxiv","version":1}},"canonical_sha256":"a2c8f0c9c071db691b26c67ea3418d1f1afbcd9386f1160e126104463cf4e92d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a2c8f0c9c071db691b26c67ea3418d1f1afbcd9386f1160e126104463cf4e92d","first_computed_at":"2026-05-18T00:35:14.476803Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:14.476803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qvhGcFmHM93NWEQqrzyEjXiXaIkpjkbc27z/WN7UO7PvSYZWrmSVG9prDIKUD3oLCQ7sfsAzbxVAk3gpueuzBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:14.477276Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.04399","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:888ae42bee2313c79a377bbd44530f34de694b35357da211e6de8d995259d4f6","sha256:01a1d702729d255bd8e6f88d94c354049f3547249c559fbda5b47362a24d91ed"],"state_sha256":"c7caf8edca480ee03b9c7fef47c69d8bf4a4d7927dc9dda840061574775bc9ed"}