{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:FM4YYDAKRMV4IYMMATGD43T5OB","short_pith_number":"pith:FM4YYDAK","schema_version":"1.0","canonical_sha256":"2b398c0c0a8b2bc4618c04cc3e6e7d704f86717397cf23824305ba3f97e7179f","source":{"kind":"arxiv","id":"1007.1110","version":3},"attestation_state":"computed","paper":{"title":"Symmetry Group of Surfaces PDE","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Mehdi Nadjafikhah, Parastoo Kabinejad","submitted_at":"2010-07-07T11:56:59Z","abstract_excerpt":"Using the theory of the symmetry group for PDEs [15, 17], we derive the symmetry group G associated to surfaces PDE. Several group invariant solutions of the surfaces PDE are given by solving a reduced system of partial differential equations."},"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":"1007.1110","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.DG","submitted_at":"2010-07-07T11:56:59Z","cross_cats_sorted":[],"title_canon_sha256":"aaa1551d14633c0d4f2f421783fc3126c20837636a153022b6db7e7e6827f751","abstract_canon_sha256":"b4f536e8d2a7e1ddb4de06bd840fe2f7638d6e309b25a6839e0ba015c6752c7f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:56:22.844777Z","signature_b64":"1TA+s1+4jcVYLHENan7ZTC+00aJzJJpwon9vd9zscPueUkdkTJPtm18r+66sm4Zes0z3ESo+ODS1bOJsKP9oDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b398c0c0a8b2bc4618c04cc3e6e7d704f86717397cf23824305ba3f97e7179f","last_reissued_at":"2026-05-18T03:56:22.844221Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:56:22.844221Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetry Group of Surfaces PDE","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Mehdi Nadjafikhah, Parastoo Kabinejad","submitted_at":"2010-07-07T11:56:59Z","abstract_excerpt":"Using the theory of the symmetry group for PDEs [15, 17], we derive the symmetry group G associated to surfaces PDE. Several group invariant solutions of the surfaces PDE are given by solving a reduced system of partial differential equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.1110","kind":"arxiv","version":3},"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":"1007.1110","created_at":"2026-05-18T03:56:22.844313+00:00"},{"alias_kind":"arxiv_version","alias_value":"1007.1110v3","created_at":"2026-05-18T03:56:22.844313+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.1110","created_at":"2026-05-18T03:56:22.844313+00:00"},{"alias_kind":"pith_short_12","alias_value":"FM4YYDAKRMV4","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_16","alias_value":"FM4YYDAKRMV4IYMM","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_8","alias_value":"FM4YYDAK","created_at":"2026-05-18T12:26:07.630475+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/FM4YYDAKRMV4IYMMATGD43T5OB","json":"https://pith.science/pith/FM4YYDAKRMV4IYMMATGD43T5OB.json","graph_json":"https://pith.science/api/pith-number/FM4YYDAKRMV4IYMMATGD43T5OB/graph.json","events_json":"https://pith.science/api/pith-number/FM4YYDAKRMV4IYMMATGD43T5OB/events.json","paper":"https://pith.science/paper/FM4YYDAK"},"agent_actions":{"view_html":"https://pith.science/pith/FM4YYDAKRMV4IYMMATGD43T5OB","download_json":"https://pith.science/pith/FM4YYDAKRMV4IYMMATGD43T5OB.json","view_paper":"https://pith.science/paper/FM4YYDAK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1007.1110&json=true","fetch_graph":"https://pith.science/api/pith-number/FM4YYDAKRMV4IYMMATGD43T5OB/graph.json","fetch_events":"https://pith.science/api/pith-number/FM4YYDAKRMV4IYMMATGD43T5OB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FM4YYDAKRMV4IYMMATGD43T5OB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FM4YYDAKRMV4IYMMATGD43T5OB/action/storage_attestation","attest_author":"https://pith.science/pith/FM4YYDAKRMV4IYMMATGD43T5OB/action/author_attestation","sign_citation":"https://pith.science/pith/FM4YYDAKRMV4IYMMATGD43T5OB/action/citation_signature","submit_replication":"https://pith.science/pith/FM4YYDAKRMV4IYMMATGD43T5OB/action/replication_record"}},"created_at":"2026-05-18T03:56:22.844313+00:00","updated_at":"2026-05-18T03:56:22.844313+00:00"}