{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:X2DWKCMD2ODDEADDAOIYE557FL","short_pith_number":"pith:X2DWKCMD","schema_version":"1.0","canonical_sha256":"be87650983d38632006303918277bf2ad79eec5cbe5554210ab9db8ce68d6ff0","source":{"kind":"arxiv","id":"1305.0077","version":1},"attestation_state":"computed","paper":{"title":"A proof of the Alexanderov's uniqueness theorem for convex surfaces in $\\mathbb R^3$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Pengfei Guan, Xiangwen Zhang, Zhizhang Wang","submitted_at":"2013-05-01T03:25:38Z","abstract_excerpt":"We give a new proof of a classical uniqueness theorem of Alexandrov using the weak uniqueness continuation theorem of Bers-Nirenberg. We prove a version of this theorem with the minimal regularity assumption: the spherical hessians of the corresponding convex bodies as Radon measures are nonsingular."},"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":"1305.0077","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-01T03:25:38Z","cross_cats_sorted":[],"title_canon_sha256":"a44a09db0944fa441109955b8861977ed8879cdbf8e889ecc725999a2787a46d","abstract_canon_sha256":"e0911fc2ad01ea0440ef47302e4ffda544c7d0e4481d423d32fdcb5f7279216f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:26:42.090839Z","signature_b64":"w0aJTNdrGv9J9HbHIyRTEMVZIwI4umXMkGfbeQi9EsFw1HCLKt08HwN7Y3XgdLUybmNDuRnBkvgK+s2KTNJUCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be87650983d38632006303918277bf2ad79eec5cbe5554210ab9db8ce68d6ff0","last_reissued_at":"2026-05-18T03:26:42.090014Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:26:42.090014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A proof of the Alexanderov's uniqueness theorem for convex surfaces in $\\mathbb R^3$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Pengfei Guan, Xiangwen Zhang, Zhizhang Wang","submitted_at":"2013-05-01T03:25:38Z","abstract_excerpt":"We give a new proof of a classical uniqueness theorem of Alexandrov using the weak uniqueness continuation theorem of Bers-Nirenberg. We prove a version of this theorem with the minimal regularity assumption: the spherical hessians of the corresponding convex bodies as Radon measures are nonsingular."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0077","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":"1305.0077","created_at":"2026-05-18T03:26:42.090148+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.0077v1","created_at":"2026-05-18T03:26:42.090148+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0077","created_at":"2026-05-18T03:26:42.090148+00:00"},{"alias_kind":"pith_short_12","alias_value":"X2DWKCMD2ODD","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_16","alias_value":"X2DWKCMD2ODDEADD","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_8","alias_value":"X2DWKCMD","created_at":"2026-05-18T12:28:06.772260+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/X2DWKCMD2ODDEADDAOIYE557FL","json":"https://pith.science/pith/X2DWKCMD2ODDEADDAOIYE557FL.json","graph_json":"https://pith.science/api/pith-number/X2DWKCMD2ODDEADDAOIYE557FL/graph.json","events_json":"https://pith.science/api/pith-number/X2DWKCMD2ODDEADDAOIYE557FL/events.json","paper":"https://pith.science/paper/X2DWKCMD"},"agent_actions":{"view_html":"https://pith.science/pith/X2DWKCMD2ODDEADDAOIYE557FL","download_json":"https://pith.science/pith/X2DWKCMD2ODDEADDAOIYE557FL.json","view_paper":"https://pith.science/paper/X2DWKCMD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.0077&json=true","fetch_graph":"https://pith.science/api/pith-number/X2DWKCMD2ODDEADDAOIYE557FL/graph.json","fetch_events":"https://pith.science/api/pith-number/X2DWKCMD2ODDEADDAOIYE557FL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X2DWKCMD2ODDEADDAOIYE557FL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X2DWKCMD2ODDEADDAOIYE557FL/action/storage_attestation","attest_author":"https://pith.science/pith/X2DWKCMD2ODDEADDAOIYE557FL/action/author_attestation","sign_citation":"https://pith.science/pith/X2DWKCMD2ODDEADDAOIYE557FL/action/citation_signature","submit_replication":"https://pith.science/pith/X2DWKCMD2ODDEADDAOIYE557FL/action/replication_record"}},"created_at":"2026-05-18T03:26:42.090148+00:00","updated_at":"2026-05-18T03:26:42.090148+00:00"}