{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:4CUSUA2HWAFH7OXJP34NW3ULNR","short_pith_number":"pith:4CUSUA2H","schema_version":"1.0","canonical_sha256":"e0a92a0347b00a7fbae97ef8db6e8b6c4027de4cffe7ca9b27c2a41cf22945cc","source":{"kind":"arxiv","id":"1803.10839","version":1},"attestation_state":"computed","paper":{"title":"The $L_p$ Aleksandrov problem for origin-symmetric polytopes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"Yiming Zhao","submitted_at":"2018-03-28T20:25:32Z","abstract_excerpt":"The $L_p$ Aleksandrov integral curvature and its corresponding characterization problem---the $L_p$ Aleksandrov problem---were recently introduced by Huang, Lutwak, Yang, and Zhang. The current work presents a solution to the $L_p$ Aleksandrov problem for origin-symmetric polytopes when $-1<p<0$."},"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":"1803.10839","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2018-03-28T20:25:32Z","cross_cats_sorted":[],"title_canon_sha256":"f8e6285dad3ac6678652d652158ab15c6e1cbf30ec1703ff1657f4f0f5084a2c","abstract_canon_sha256":"a63bc90ef0f0115dc000a73f32fa209fa7383f79853a5e551e5ffb8c3a397620"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:50.052767Z","signature_b64":"8oTt1Cgpk5drmoOuuCY+KZd0rSSyC+/FQCIJ0I73s2QVCwX3oWhS2lcHEtvDbFZmgtDJ35ixOEbLVFmHQW+CDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e0a92a0347b00a7fbae97ef8db6e8b6c4027de4cffe7ca9b27c2a41cf22945cc","last_reissued_at":"2026-05-18T00:19:50.052136Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:50.052136Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The $L_p$ Aleksandrov problem for origin-symmetric polytopes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"Yiming Zhao","submitted_at":"2018-03-28T20:25:32Z","abstract_excerpt":"The $L_p$ Aleksandrov integral curvature and its corresponding characterization problem---the $L_p$ Aleksandrov problem---were recently introduced by Huang, Lutwak, Yang, and Zhang. The current work presents a solution to the $L_p$ Aleksandrov problem for origin-symmetric polytopes when $-1<p<0$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.10839","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":"1803.10839","created_at":"2026-05-18T00:19:50.052234+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.10839v1","created_at":"2026-05-18T00:19:50.052234+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.10839","created_at":"2026-05-18T00:19:50.052234+00:00"},{"alias_kind":"pith_short_12","alias_value":"4CUSUA2HWAFH","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_16","alias_value":"4CUSUA2HWAFH7OXJ","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_8","alias_value":"4CUSUA2H","created_at":"2026-05-18T12:32:05.422762+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/4CUSUA2HWAFH7OXJP34NW3ULNR","json":"https://pith.science/pith/4CUSUA2HWAFH7OXJP34NW3ULNR.json","graph_json":"https://pith.science/api/pith-number/4CUSUA2HWAFH7OXJP34NW3ULNR/graph.json","events_json":"https://pith.science/api/pith-number/4CUSUA2HWAFH7OXJP34NW3ULNR/events.json","paper":"https://pith.science/paper/4CUSUA2H"},"agent_actions":{"view_html":"https://pith.science/pith/4CUSUA2HWAFH7OXJP34NW3ULNR","download_json":"https://pith.science/pith/4CUSUA2HWAFH7OXJP34NW3ULNR.json","view_paper":"https://pith.science/paper/4CUSUA2H","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.10839&json=true","fetch_graph":"https://pith.science/api/pith-number/4CUSUA2HWAFH7OXJP34NW3ULNR/graph.json","fetch_events":"https://pith.science/api/pith-number/4CUSUA2HWAFH7OXJP34NW3ULNR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4CUSUA2HWAFH7OXJP34NW3ULNR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4CUSUA2HWAFH7OXJP34NW3ULNR/action/storage_attestation","attest_author":"https://pith.science/pith/4CUSUA2HWAFH7OXJP34NW3ULNR/action/author_attestation","sign_citation":"https://pith.science/pith/4CUSUA2HWAFH7OXJP34NW3ULNR/action/citation_signature","submit_replication":"https://pith.science/pith/4CUSUA2HWAFH7OXJP34NW3ULNR/action/replication_record"}},"created_at":"2026-05-18T00:19:50.052234+00:00","updated_at":"2026-05-18T00:19:50.052234+00:00"}