{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:YT5OOXO5RWZEQYNQC5FY34OM74","short_pith_number":"pith:YT5OOXO5","schema_version":"1.0","canonical_sha256":"c4fae75ddd8db24861b0174b8df1ccff293bf7f7a8a04315008a8cbd28031635","source":{"kind":"arxiv","id":"1001.1183","version":2},"attestation_state":"computed","paper":{"title":"Spinor representation of surfaces and complex stresses on membranes and interfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Jemal Guven, Pablo V\\'azquez-Montejo","submitted_at":"2010-01-08T01:00:46Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1001.1183","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-01-08T01:00:46Z","cross_cats_sorted":[],"title_canon_sha256":"3bf6ed08a72d07bfa278a5f3ca404fed040373369dde1500956b129c965a91de","abstract_canon_sha256":"13b5505165dd2dd7dc5816c9c00cfa110e595d44c2a18f74662f99af4a8e57e3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:02:13.833073Z","signature_b64":"iMs5PXYmEScYy158ig2WgMssZ31y2TfgRz618XUWSTWImzXIbZbpYGfxpO1NKbkvAwf7AT+nzTJrylmncb8UCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c4fae75ddd8db24861b0174b8df1ccff293bf7f7a8a04315008a8cbd28031635","last_reissued_at":"2026-05-18T04:02:13.832349Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:02:13.832349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spinor representation of surfaces and complex stresses on membranes and interfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Jemal Guven, Pablo V\\'azquez-Montejo","submitted_at":"2010-01-08T01:00:46Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.1183","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1001.1183","created_at":"2026-05-18T04:02:13.832478+00:00"},{"alias_kind":"arxiv_version","alias_value":"1001.1183v2","created_at":"2026-05-18T04:02:13.832478+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.1183","created_at":"2026-05-18T04:02:13.832478+00:00"},{"alias_kind":"pith_short_12","alias_value":"YT5OOXO5RWZE","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_16","alias_value":"YT5OOXO5RWZEQYNQ","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_8","alias_value":"YT5OOXO5","created_at":"2026-05-18T12:26:17.028572+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YT5OOXO5RWZEQYNQC5FY34OM74","json":"https://pith.science/pith/YT5OOXO5RWZEQYNQC5FY34OM74.json","graph_json":"https://pith.science/api/pith-number/YT5OOXO5RWZEQYNQC5FY34OM74/graph.json","events_json":"https://pith.science/api/pith-number/YT5OOXO5RWZEQYNQC5FY34OM74/events.json","paper":"https://pith.science/paper/YT5OOXO5"},"agent_actions":{"view_html":"https://pith.science/pith/YT5OOXO5RWZEQYNQC5FY34OM74","download_json":"https://pith.science/pith/YT5OOXO5RWZEQYNQC5FY34OM74.json","view_paper":"https://pith.science/paper/YT5OOXO5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1001.1183&json=true","fetch_graph":"https://pith.science/api/pith-number/YT5OOXO5RWZEQYNQC5FY34OM74/graph.json","fetch_events":"https://pith.science/api/pith-number/YT5OOXO5RWZEQYNQC5FY34OM74/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YT5OOXO5RWZEQYNQC5FY34OM74/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YT5OOXO5RWZEQYNQC5FY34OM74/action/storage_attestation","attest_author":"https://pith.science/pith/YT5OOXO5RWZEQYNQC5FY34OM74/action/author_attestation","sign_citation":"https://pith.science/pith/YT5OOXO5RWZEQYNQC5FY34OM74/action/citation_signature","submit_replication":"https://pith.science/pith/YT5OOXO5RWZEQYNQC5FY34OM74/action/replication_record"}},"created_at":"2026-05-18T04:02:13.832478+00:00","updated_at":"2026-05-18T04:02:13.832478+00:00"}