{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3GM3LJBLIL3VIUGKSS3USGX5FG","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":"4bbbc684b3dacf3c3667fef21af3195f6186b1b713715eca9c0eb060d270e42f","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-06-25T12:44:09Z","title_canon_sha256":"4e81712a27bca314b600bb8c745bdd92b081c860b85919d903b70e64a92d5c92"},"schema_version":"1.0","source":{"id":"1306.5941","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5941","created_at":"2026-05-18T01:12:15Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5941v1","created_at":"2026-05-18T01:12:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5941","created_at":"2026-05-18T01:12:15Z"},{"alias_kind":"pith_short_12","alias_value":"3GM3LJBLIL3V","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3GM3LJBLIL3VIUGK","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3GM3LJBL","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:23cd698822ba585dd2eb9f04642b80b4ae7528aff763b7ee14a158de550de988","target":"graph","created_at":"2026-05-18T01:12:15Z","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 explore how a frozen background metric affects the mechanical properties of planar membranes with a shear modulus. We focus on a special class of \"warped membranes\" with a preferred random height profile characterized by random Gaussian variables $h({\\bf q})$ in Fourier space with zero mean and variance $<|h({\\bf q})|^2> \\sim q^{-d_h}$ and show that in the linear response regime the mechanical properties depend dramatically on the system size $L$ for $d_h \\ge 2$. Membranes with $d_h=4$ could be produced by flash polymerization of lyotropic smectic liquid crystals. Via a self consistent scre","authors_text":"Andrej Kosmrlj, David R. Nelson","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-06-25T12:44:09Z","title":"Mechanical Properties of Warped Membranes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5941","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":"sha256:34e19ec1f2abbfa167b6cf8e66f0008ec6730319644666c601ea405642718fc7","target":"record","created_at":"2026-05-18T01:12:15Z","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":"4bbbc684b3dacf3c3667fef21af3195f6186b1b713715eca9c0eb060d270e42f","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-06-25T12:44:09Z","title_canon_sha256":"4e81712a27bca314b600bb8c745bdd92b081c860b85919d903b70e64a92d5c92"},"schema_version":"1.0","source":{"id":"1306.5941","kind":"arxiv","version":1}},"canonical_sha256":"d999b5a42b42f75450ca94b7491afd29a17eb3a346b0c44bd73e1e517106e8ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d999b5a42b42f75450ca94b7491afd29a17eb3a346b0c44bd73e1e517106e8ca","first_computed_at":"2026-05-18T01:12:15.165726Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:15.165726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hKwvfR+0CSPZsr5Fys/F/eNgr0reFHmEz6VlFNSG6W7ffedZ2VQSvSo+Ahi50fIj/KHAkQLqo/OYNjaxJCq+DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:15.166105Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.5941","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34e19ec1f2abbfa167b6cf8e66f0008ec6730319644666c601ea405642718fc7","sha256:23cd698822ba585dd2eb9f04642b80b4ae7528aff763b7ee14a158de550de988"],"state_sha256":"0cfa657375b0abaf2da6fb7704e609dd7537a47b59afaf62d129b6c3283c1da3"}