{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WZ4XLKOWQC2ZM27HMJYNMDZ77T","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":"42a7d3f2b6d4aad6e7dddbb574d80fb1c3b8f6dcf50f4677236dd174ed761018","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-06-21T08:13:10Z","title_canon_sha256":"eb76618fa4a5d9215c4b31244bd78d36aeae7f2bc016fe940c71bea0ba99ae72"},"schema_version":"1.0","source":{"id":"1706.06781","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.06781","created_at":"2026-05-18T00:25:11Z"},{"alias_kind":"arxiv_version","alias_value":"1706.06781v4","created_at":"2026-05-18T00:25:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.06781","created_at":"2026-05-18T00:25:11Z"},{"alias_kind":"pith_short_12","alias_value":"WZ4XLKOWQC2Z","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WZ4XLKOWQC2ZM27H","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WZ4XLKOW","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:40ac4f5cc4aa84464524ab1a5cf4725d5803c9ff21c10c3739acc991049d33e0","target":"graph","created_at":"2026-05-18T00:25:11Z","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 present a novel Hybrid High-Order (HHO) discretization of fourth-order elliptic problems arising from the mechanical modeling of the bending behavior of Kirchhoff-Love plates, including the biharmonic equation as a particular case. The proposed HHO method supports arbitrary approximation orders on general polygonal meshes, and reproduces the key mechanical equilibrium relations locally inside each element. When polynomials of degree $k \\ge 1$ are used as unknowns, we prove convergence in $h^{k+1}$ (with $h$ denoting, as usual, the meshsize) in an energy-like norm. A key ingredient in the pr","authors_text":"Daniele A. Di Pietro, Fran\\c{c}oise Krasucki, Francesco Bonaldi, Giuseppe Geymonat","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-06-21T08:13:10Z","title":"A Hybrid High-Order method for Kirchhoff-Love plate bending problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.06781","kind":"arxiv","version":4},"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":"sha256:791cb7d41b2bdba8877de7a2c45c3e27c6d1adc18e5df2d4627e0f105a506e32","target":"record","created_at":"2026-05-18T00:25:11Z","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":"42a7d3f2b6d4aad6e7dddbb574d80fb1c3b8f6dcf50f4677236dd174ed761018","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-06-21T08:13:10Z","title_canon_sha256":"eb76618fa4a5d9215c4b31244bd78d36aeae7f2bc016fe940c71bea0ba99ae72"},"schema_version":"1.0","source":{"id":"1706.06781","kind":"arxiv","version":4}},"canonical_sha256":"b67975a9d680b5966be76270d60f3ffceb6201defb1eb8a034d7eb20f725b9c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b67975a9d680b5966be76270d60f3ffceb6201defb1eb8a034d7eb20f725b9c1","first_computed_at":"2026-05-18T00:25:11.656923Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:11.656923Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zSn/9sUxPX/q1WlEXF4HUbpjXLZumgQROEPIDDeEcIy+9jxsVtf+mNz05cKY0tMeUwi/7yDFGOS+ztmfqXpLAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:11.657403Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.06781","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:791cb7d41b2bdba8877de7a2c45c3e27c6d1adc18e5df2d4627e0f105a506e32","sha256:40ac4f5cc4aa84464524ab1a5cf4725d5803c9ff21c10c3739acc991049d33e0"],"state_sha256":"cc0eeec6279a906dc737e6a3937c183c91c90b025b3df4c37703631c8cdae9f7"}