{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:NYSR5IREZDSCVDOVNMI4N5NN5G","short_pith_number":"pith:NYSR5IRE","schema_version":"1.0","canonical_sha256":"6e251ea224c8e42a8dd56b11c6f5ade9a1aca81ffd3aa083e3054a12c70ecfbc","source":{"kind":"arxiv","id":"1504.08260","version":1},"attestation_state":"computed","paper":{"title":"Supersymmetric versions of the equations of conformally parametrized surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Alexander Hariton, Alfred Michel Grundland, S\\'ebastien Bertrand","submitted_at":"2015-04-30T14:56:54Z","abstract_excerpt":"The objective of this paper is to formulate two distinct supersymmetric (SUSY) extensions of the Gauss-Weingarten and Gauss-Codazzi (GC) equations for conformally parametrized surfaces immersed in a Grassmann superspace, one in terms of a bosonic superfield and the other in terms of a fermionic superfield. We perform this analysis using a superspace-superfield formalism together with a SUSY version of a moving frame on a surface. In constrast with the classical case, where we have three GC equations, we obtain six such equations in the bosonic SUSY case and four such equations in the fermionic"},"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":"1504.08260","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-04-30T14:56:54Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"23b257fe939eddca81ac83adc2b860e02eba4853b633edc51099671464961deb","abstract_canon_sha256":"5ad6432adff8ac8dcd6c22b634c9a70b1fbe7d2daaa495bbeab512bc68e87c8c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:17:22.869871Z","signature_b64":"/cMKxN9IWiCKAcofd73RF+FtpiLK6FbNTntJhMSfU34MMeP1EjSQK3I3728fePoLmmX48YMgbSFZ5cYo7FiEDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e251ea224c8e42a8dd56b11c6f5ade9a1aca81ffd3aa083e3054a12c70ecfbc","last_reissued_at":"2026-05-18T02:17:22.869223Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:17:22.869223Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Supersymmetric versions of the equations of conformally parametrized surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Alexander Hariton, Alfred Michel Grundland, S\\'ebastien Bertrand","submitted_at":"2015-04-30T14:56:54Z","abstract_excerpt":"The objective of this paper is to formulate two distinct supersymmetric (SUSY) extensions of the Gauss-Weingarten and Gauss-Codazzi (GC) equations for conformally parametrized surfaces immersed in a Grassmann superspace, one in terms of a bosonic superfield and the other in terms of a fermionic superfield. We perform this analysis using a superspace-superfield formalism together with a SUSY version of a moving frame on a surface. In constrast with the classical case, where we have three GC equations, we obtain six such equations in the bosonic SUSY case and four such equations in the fermionic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.08260","kind":"arxiv","version":1},"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":"1504.08260","created_at":"2026-05-18T02:17:22.869324+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.08260v1","created_at":"2026-05-18T02:17:22.869324+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.08260","created_at":"2026-05-18T02:17:22.869324+00:00"},{"alias_kind":"pith_short_12","alias_value":"NYSR5IREZDSC","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_16","alias_value":"NYSR5IREZDSCVDOV","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_8","alias_value":"NYSR5IRE","created_at":"2026-05-18T12:29:34.919912+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/NYSR5IREZDSCVDOVNMI4N5NN5G","json":"https://pith.science/pith/NYSR5IREZDSCVDOVNMI4N5NN5G.json","graph_json":"https://pith.science/api/pith-number/NYSR5IREZDSCVDOVNMI4N5NN5G/graph.json","events_json":"https://pith.science/api/pith-number/NYSR5IREZDSCVDOVNMI4N5NN5G/events.json","paper":"https://pith.science/paper/NYSR5IRE"},"agent_actions":{"view_html":"https://pith.science/pith/NYSR5IREZDSCVDOVNMI4N5NN5G","download_json":"https://pith.science/pith/NYSR5IREZDSCVDOVNMI4N5NN5G.json","view_paper":"https://pith.science/paper/NYSR5IRE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.08260&json=true","fetch_graph":"https://pith.science/api/pith-number/NYSR5IREZDSCVDOVNMI4N5NN5G/graph.json","fetch_events":"https://pith.science/api/pith-number/NYSR5IREZDSCVDOVNMI4N5NN5G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NYSR5IREZDSCVDOVNMI4N5NN5G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NYSR5IREZDSCVDOVNMI4N5NN5G/action/storage_attestation","attest_author":"https://pith.science/pith/NYSR5IREZDSCVDOVNMI4N5NN5G/action/author_attestation","sign_citation":"https://pith.science/pith/NYSR5IREZDSCVDOVNMI4N5NN5G/action/citation_signature","submit_replication":"https://pith.science/pith/NYSR5IREZDSCVDOVNMI4N5NN5G/action/replication_record"}},"created_at":"2026-05-18T02:17:22.869324+00:00","updated_at":"2026-05-18T02:17:22.869324+00:00"}