{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:OFH2LNM7EQX22XRS7XF7TKHO6X","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":"fca3bf09329f6ce9baecb4f26e46186b481587f66220d5b722874f73dc68b765","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-05-17T14:53:14Z","title_canon_sha256":"5ac66cea9cf06d72a83cce25c59fd7fc0c4c47cdab8389495fd81a318ca08eed"},"schema_version":"1.0","source":{"id":"2605.17485","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.17485","created_at":"2026-05-20T00:04:41Z"},{"alias_kind":"arxiv_version","alias_value":"2605.17485v1","created_at":"2026-05-20T00:04:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.17485","created_at":"2026-05-20T00:04:41Z"},{"alias_kind":"pith_short_12","alias_value":"OFH2LNM7EQX2","created_at":"2026-05-20T00:04:41Z"},{"alias_kind":"pith_short_16","alias_value":"OFH2LNM7EQX22XRS","created_at":"2026-05-20T00:04:41Z"},{"alias_kind":"pith_short_8","alias_value":"OFH2LNM7","created_at":"2026-05-20T00:04:41Z"}],"graph_snapshots":[{"event_id":"sha256:e4156e5dff69a78e5f236b4b134bece7abac823029a5cc2cf8c4399df653f974","target":"graph","created_at":"2026-05-20T00:04:41Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"We prove that the Flamant solution gives the leading order response of a slightly truncated wedge to small boundary displacements or loads. This asymptotic result holds for general hyperelastic energies with super-quadratic growth at infinity; it also holds in the borderline case of quadratic growth at infinity, so long as the tip of the wedge is subjected to small enough displacements or loads."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The hyperelastic energy has at least super-quadratic growth at infinity (or quadratic growth with sufficiently small loads), which is required to apply the uniform geometric rigidity inequality and restore compactness after the logarithmic change of variables."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"The Flamant solution is the leading-order asymptotic response of a slightly truncated nonlinear elastic wedge to small loads, derived via a variational principle after a logarithmic change of variables."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"The Flamant solution from linear elasticity is the leading-order response of a nonlinear elastic wedge to small tip loads or displacements."}],"snapshot_sha256":"997eee109f24091a79b6fa0d7431ca5a73d0f212ff30e2eadf1b3f583402035b"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[{"findings_count":0,"name":"doi_title_agreement","ran_at":"2026-05-19T22:31:19.618810Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"doi_compliance","ran_at":"2026-05-19T22:31:09.214379Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"claim_evidence","ran_at":"2026-05-19T21:41:57.685845Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"ai_meta_artifact","ran_at":"2026-05-19T21:33:23.645839Z","status":"skipped","version":"1.0.0"}],"endpoint":"/pith/2605.17485/integrity.json","findings":[],"snapshot_sha256":"5160f33c02fd37b271c4a0733f6d26f6e7ccaf7ce291dff77be3c9ad59a265f9","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Concentrated forces acting at the tip of a two-dimensional wedge give rise to the classical Flamant solution to linear elasticity, whose displacement and strain are singular at the tip of the wedge. Starting from nonlinear elasticity, we prove that the Flamant solution gives the leading order response of a slightly truncated wedge to small boundary displacements or loads. This asymptotic result holds for general hyperelastic energies with super-quadratic growth at infinity; it also holds in the borderline case of quadratic growth at infinity, so long as the tip of the wedge is subjected to sma","authors_text":"Dominik Engl, Ian Tobasco, Paul Plucinsky","cross_cats":["cond-mat.soft"],"headline":"The Flamant solution from linear elasticity is the leading-order response of a nonlinear elastic wedge to small tip loads or displacements.","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-05-17T14:53:14Z","title":"Variational derivation of the Flamant solution for a nonlinear elastic wedge"},"references":{"count":71,"internal_anchors":0,"resolved_work":71,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"iMechanica, October 19 2006","work_id":"cdc7bcdd-6529-4f36-bfe3-64c236896bfe","year":2006},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"V. Agostiniani, G. Dal Maso, and A. DeSimone. Linear elasticity obtained from finite elasticity byΓ-convergence under weak coerciveness conditions.Ann. Inst. H. Poincaré C Anal. Non Linéaire, 29(5):71","work_id":"ecfcd5d7-e369-4735-95c4-4f3c2833e5b7","year":2012},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":3,"title":"R. Alicandro, G. Lazzaroni, M. Palombaro, and P. Wozniak. Derivation of linear elasticity from energy functionals with infinitely many wells, 2026. cvgmt preprint","work_id":"6ad47e91-d57d-455e-8f26-77dc48e470e6","year":2026},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":4,"title":"S. Almi, E. Davoli, and M. Friedrich. Non-interpenetration conditions in the passage from nonlinear to linearized Griffith fracture.J. Math. Pures Appl. (9), 175:1–36, 2023","work_id":"3cd1cb29-802b-4c43-b760-a22e7e760114","year":2023},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"J. R. Barber.Elasticity, volume 172 ofSolid Mechanics and Its Applications. Springer Cham, Cham, 4th edition, 2023","work_id":"6ca7c30c-528e-498e-a25a-39ce50506d17","year":2023}],"snapshot_sha256":"43d0a6fd4f42e9fb2993a694ee7983b8302fe783515121f980c4b81c5dc64ea0"},"source":{"id":"2605.17485","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-19T22:18:04.953021Z","id":"49270b86-5071-42a4-92be-4704bc102a40","model_set":{"reader":"grok-4.3"},"one_line_summary":"The Flamant solution is the leading-order asymptotic response of a slightly truncated nonlinear elastic wedge to small loads, derived via a variational principle after a logarithmic change of variables.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"The Flamant solution from linear elasticity is the leading-order response of a nonlinear elastic wedge to small tip loads or displacements.","strongest_claim":"We prove that the Flamant solution gives the leading order response of a slightly truncated wedge to small boundary displacements or loads. This asymptotic result holds for general hyperelastic energies with super-quadratic growth at infinity; it also holds in the borderline case of quadratic growth at infinity, so long as the tip of the wedge is subjected to small enough displacements or loads.","weakest_assumption":"The hyperelastic energy has at least super-quadratic growth at infinity (or quadratic growth with sufficiently small loads), which is required to apply the uniform geometric rigidity inequality and restore compactness after the logarithmic change of variables."}},"verdict_id":"49270b86-5071-42a4-92be-4704bc102a40"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:599bc7af87041d5293ca9037010f3dcc874975702f582c2dbe8d64f1675ab45d","target":"record","created_at":"2026-05-20T00:04:41Z","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":"fca3bf09329f6ce9baecb4f26e46186b481587f66220d5b722874f73dc68b765","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-05-17T14:53:14Z","title_canon_sha256":"5ac66cea9cf06d72a83cce25c59fd7fc0c4c47cdab8389495fd81a318ca08eed"},"schema_version":"1.0","source":{"id":"2605.17485","kind":"arxiv","version":1}},"canonical_sha256":"714fa5b59f242fad5e32fdcbf9a8eef5f820538f5417e869135a32692e5ed73f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"714fa5b59f242fad5e32fdcbf9a8eef5f820538f5417e869135a32692e5ed73f","first_computed_at":"2026-05-20T00:04:41.437346Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:04:41.437346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d08XfVk8GU85h5DaxbvD/K8k+kfmGWy/GEJt946tuygBS4CIbe/AWwzRJFCbAajo/OC0jsTHaRWEAuTw746XBg==","signature_status":"signed_v1","signed_at":"2026-05-20T00:04:41.438092Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.17485","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:599bc7af87041d5293ca9037010f3dcc874975702f582c2dbe8d64f1675ab45d","sha256:e4156e5dff69a78e5f236b4b134bece7abac823029a5cc2cf8c4399df653f974"],"state_sha256":"a97db393cafe8fada06defe3f4dc3973007b837d0e755cc28e34b68a7cf67877"}