{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MRABS7FSLKZ5337RS3AWDB3KF4","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":"1075c44ebaaa62d072f3c31dee59a8cec8d80ef6b9ad0912b51a0c9eee1cea0f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-12-13T16:29:42Z","title_canon_sha256":"61f8e51a02e2afa885fd220c2003129dcb9ed5575af9e73b259c39749f33a163"},"schema_version":"1.0","source":{"id":"1712.04846","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.04846","created_at":"2026-05-18T00:11:39Z"},{"alias_kind":"arxiv_version","alias_value":"1712.04846v1","created_at":"2026-05-18T00:11:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.04846","created_at":"2026-05-18T00:11:39Z"},{"alias_kind":"pith_short_12","alias_value":"MRABS7FSLKZ5","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MRABS7FSLKZ5337R","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MRABS7FS","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:39e29075d8c2d6ce35c132d35fc90203789b635c37e131f4202d0e9c9063569d","target":"graph","created_at":"2026-05-18T00:11:39Z","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":"The logarithmic strain measures $\\lVert\\log U\\rVert^2$, where $\\log U$ is the principal matrix logarithm of the stretch tensor $U=\\sqrt{F^TF}$ corresponding to the deformation gradient $F$ and $\\lVert\\,.\\,\\rVert$ denotes the Frobenius matrix norm, arises naturally via the geodesic distance of $F$ to the special orthogonal group $\\operatorname{SO}(n)$. This purely geometric characterization of this strain measure suggests that a viable constitutive law of nonlinear elasticity may be derived from an elastic energy potential which depends solely on this intrinsic property of the deformation, i.e.","authors_text":"Ionel-Dumitrel Ghiba, Patrizio Neff, Robert J. Martin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-12-13T16:29:42Z","title":"A non-ellipticity result, or the impossible taming of the logarithmic strain measure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.04846","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":"sha256:12f120ac57186d9a8d2f13c44505962ae064a0bb0c396fb7e6c4ff208e84968c","target":"record","created_at":"2026-05-18T00:11:39Z","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":"1075c44ebaaa62d072f3c31dee59a8cec8d80ef6b9ad0912b51a0c9eee1cea0f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-12-13T16:29:42Z","title_canon_sha256":"61f8e51a02e2afa885fd220c2003129dcb9ed5575af9e73b259c39749f33a163"},"schema_version":"1.0","source":{"id":"1712.04846","kind":"arxiv","version":1}},"canonical_sha256":"6440197cb25ab3ddeff196c161876a2f35aee7157855ce5ab377059a63821b07","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6440197cb25ab3ddeff196c161876a2f35aee7157855ce5ab377059a63821b07","first_computed_at":"2026-05-18T00:11:39.552342Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:39.552342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DNYey04z2F3wvQkdkmQezsE0mRyPFnVfXDlVMijwpkB7plZFxpGOD6SvLzsGEB7+s7SJXyEu2TRNHmGdW0+WCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:39.553098Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.04846","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:12f120ac57186d9a8d2f13c44505962ae064a0bb0c396fb7e6c4ff208e84968c","sha256:39e29075d8c2d6ce35c132d35fc90203789b635c37e131f4202d0e9c9063569d"],"state_sha256":"4598feb275a4524a9a728cad9b81dff45d12eaaea5adcffc33a4e2f32b3c1226"}