{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:YT5OOXO5RWZEQYNQC5FY34OM74","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":"13b5505165dd2dd7dc5816c9c00cfa110e595d44c2a18f74662f99af4a8e57e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-01-08T01:00:46Z","title_canon_sha256":"3bf6ed08a72d07bfa278a5f3ca404fed040373369dde1500956b129c965a91de"},"schema_version":"1.0","source":{"id":"1001.1183","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.1183","created_at":"2026-05-18T04:02:13Z"},{"alias_kind":"arxiv_version","alias_value":"1001.1183v2","created_at":"2026-05-18T04:02:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.1183","created_at":"2026-05-18T04:02:13Z"},{"alias_kind":"pith_short_12","alias_value":"YT5OOXO5RWZE","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"YT5OOXO5RWZEQYNQ","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"YT5OOXO5","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:bb791eba04327f4884f11a8e6ee159a88e43ab47a4b5d2969dbba2583d1a7b73","target":"graph","created_at":"2026-05-18T04:02:13Z","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":"Variational principles are developed within the framework of a spinor representation of the surface geometry to examine the equilibrium properties of a membrane or interface. This is a far-reaching generalization of the Weierstrass-Enneper representation for minimal surfaces, introduced by mathematicians in the nineties, permitting the relaxation of the vanishing mean curvature constraint. In this representation the surface geometry is described by a spinor field, satisfying a two-dimensional Dirac equation, coupled through a potential associated with the mean curvature. As an application, the","authors_text":"Jemal Guven, Pablo V\\'azquez-Montejo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-01-08T01:00:46Z","title":"Spinor representation of surfaces and complex stresses on membranes and interfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.1183","kind":"arxiv","version":2},"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":"sha256:3c9e481690db8e18a636ebfaa0f48272b53c18896edc3143c9b78c10dea8ad4b","target":"record","created_at":"2026-05-18T04:02:13Z","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":"13b5505165dd2dd7dc5816c9c00cfa110e595d44c2a18f74662f99af4a8e57e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-01-08T01:00:46Z","title_canon_sha256":"3bf6ed08a72d07bfa278a5f3ca404fed040373369dde1500956b129c965a91de"},"schema_version":"1.0","source":{"id":"1001.1183","kind":"arxiv","version":2}},"canonical_sha256":"c4fae75ddd8db24861b0174b8df1ccff293bf7f7a8a04315008a8cbd28031635","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4fae75ddd8db24861b0174b8df1ccff293bf7f7a8a04315008a8cbd28031635","first_computed_at":"2026-05-18T04:02:13.832349Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:02:13.832349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iMs5PXYmEScYy158ig2WgMssZ31y2TfgRz618XUWSTWImzXIbZbpYGfxpO1NKbkvAwf7AT+nzTJrylmncb8UCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:02:13.833073Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.1183","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c9e481690db8e18a636ebfaa0f48272b53c18896edc3143c9b78c10dea8ad4b","sha256:bb791eba04327f4884f11a8e6ee159a88e43ab47a4b5d2969dbba2583d1a7b73"],"state_sha256":"6139b1009282f6c3e3707795a45282ba427a59ff33e13f058480a45622e44366"}