{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:GAZEIBCI23T2545KWWCEQKUJC5","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":"4c6d6b7b20e1c951e845ffdc21b582cec25e8d27f5ddbad0458a2a12b467f05f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-07-06T23:55:58Z","title_canon_sha256":"4133bdc8770b71352df7331f00c3e1f99b7563e23513ac14a00e072827720308"},"schema_version":"1.0","source":{"id":"1007.1017","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.1017","created_at":"2026-05-18T04:24:06Z"},{"alias_kind":"arxiv_version","alias_value":"1007.1017v3","created_at":"2026-05-18T04:24:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.1017","created_at":"2026-05-18T04:24:06Z"},{"alias_kind":"pith_short_12","alias_value":"GAZEIBCI23T2","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"GAZEIBCI23T2545K","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"GAZEIBCI","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:e7bcac6c48c36fe2e9129ec71e1b2acb42aabf57b236173a6f6dac8b41dc7457","target":"graph","created_at":"2026-05-18T04:24:06Z","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 study the pinning of a two-dimensional membrane to a patterned substrate within elastic theory both in the bending rigidity and in the strain dominated regimes. We find that both the in-plane strains and the bending rigidity can lead to depinning. We show from energetic arguments that the system experiences a first order phase transition between the attached configuration to a partially detached one when the relevant parameters of the substrate are varied, and we construct a qualitative phase diagram. Our results are confirmed through analytical solutions for some simple geometries of the s","authors_text":"A. H. Castro Neto, D. K. Campbell, F. Guinea, S. Viola Kusminskiy","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-07-06T23:55:58Z","title":"Pinning of a two-dimensional membrane on top of a patterned substrate: the case of graphene"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.1017","kind":"arxiv","version":3},"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":"sha256:78016be1b85bc3ec3215f303837735c1ba5100887ad696370eb1d511463bdaf4","target":"record","created_at":"2026-05-18T04:24:06Z","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":"4c6d6b7b20e1c951e845ffdc21b582cec25e8d27f5ddbad0458a2a12b467f05f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-07-06T23:55:58Z","title_canon_sha256":"4133bdc8770b71352df7331f00c3e1f99b7563e23513ac14a00e072827720308"},"schema_version":"1.0","source":{"id":"1007.1017","kind":"arxiv","version":3}},"canonical_sha256":"3032440448d6e7aef3aab584482a891757d47a05ac1bd6eaf001f9c68c45372e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3032440448d6e7aef3aab584482a891757d47a05ac1bd6eaf001f9c68c45372e","first_computed_at":"2026-05-18T04:24:06.245846Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:06.245846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dZqsCOOlIGt/kLZswMp5yz2gSS8UjmKu+lByDRUZ9PY4661BsESZx8eWybRBT3EWBlbVnlD9Rya2mLbOpjvQCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:06.246392Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.1017","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:78016be1b85bc3ec3215f303837735c1ba5100887ad696370eb1d511463bdaf4","sha256:e7bcac6c48c36fe2e9129ec71e1b2acb42aabf57b236173a6f6dac8b41dc7457"],"state_sha256":"01d880e0eeb004f5b9b12a6bfe2bac62e9d3bfac1775b34165ddfcf647cb70e3"}