{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:MNCNDQJVZTZFWQZHPTDOJJRZM7","short_pith_number":"pith:MNCNDQJV","schema_version":"1.0","canonical_sha256":"6344d1c135ccf25b43277cc6e4a63967f3db82e45982025c719320ec1fa1d111","source":{"kind":"arxiv","id":"1403.7158","version":2},"attestation_state":"computed","paper":{"title":"Affine diameters of convex bodies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"Daniel Hug, Imre Barany, Rolf Schneider","submitted_at":"2014-03-27T18:13:50Z","abstract_excerpt":"We prove sharp inequalities for the average number of affine diameters through the points of a convex body $K$ in ${\\mathbb R}^n$. These inequalities hold if $K$ is either a polytope or of dimension two. An example shows that the proof given in the latter case does not extend to higher dimensions."},"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":"1403.7158","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2014-03-27T18:13:50Z","cross_cats_sorted":[],"title_canon_sha256":"9a0d4366ad9dff9755edb34116942425434346ad5face2a91d2babb0a2fd4a1d","abstract_canon_sha256":"10672c9b98cb6e03857cb0f375e75f8464938a40fb6ae31b06f41c8d117c65be"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:25.210256Z","signature_b64":"NjUxPFKawEJAa1hqymwhD9FFJzcaPwBJumdOGAPEAEStPg0irNAI/FwjKCK33WbqHV8hIsAf2XzQdvD84hfMCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6344d1c135ccf25b43277cc6e4a63967f3db82e45982025c719320ec1fa1d111","last_reissued_at":"2026-05-18T02:52:25.209625Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:25.209625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Affine diameters of convex bodies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"Daniel Hug, Imre Barany, Rolf Schneider","submitted_at":"2014-03-27T18:13:50Z","abstract_excerpt":"We prove sharp inequalities for the average number of affine diameters through the points of a convex body $K$ in ${\\mathbb R}^n$. These inequalities hold if $K$ is either a polytope or of dimension two. An example shows that the proof given in the latter case does not extend to higher dimensions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7158","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":"1403.7158","created_at":"2026-05-18T02:52:25.209722+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.7158v2","created_at":"2026-05-18T02:52:25.209722+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7158","created_at":"2026-05-18T02:52:25.209722+00:00"},{"alias_kind":"pith_short_12","alias_value":"MNCNDQJVZTZF","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"MNCNDQJVZTZFWQZH","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"MNCNDQJV","created_at":"2026-05-18T12:28:38.356838+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/MNCNDQJVZTZFWQZHPTDOJJRZM7","json":"https://pith.science/pith/MNCNDQJVZTZFWQZHPTDOJJRZM7.json","graph_json":"https://pith.science/api/pith-number/MNCNDQJVZTZFWQZHPTDOJJRZM7/graph.json","events_json":"https://pith.science/api/pith-number/MNCNDQJVZTZFWQZHPTDOJJRZM7/events.json","paper":"https://pith.science/paper/MNCNDQJV"},"agent_actions":{"view_html":"https://pith.science/pith/MNCNDQJVZTZFWQZHPTDOJJRZM7","download_json":"https://pith.science/pith/MNCNDQJVZTZFWQZHPTDOJJRZM7.json","view_paper":"https://pith.science/paper/MNCNDQJV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.7158&json=true","fetch_graph":"https://pith.science/api/pith-number/MNCNDQJVZTZFWQZHPTDOJJRZM7/graph.json","fetch_events":"https://pith.science/api/pith-number/MNCNDQJVZTZFWQZHPTDOJJRZM7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MNCNDQJVZTZFWQZHPTDOJJRZM7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MNCNDQJVZTZFWQZHPTDOJJRZM7/action/storage_attestation","attest_author":"https://pith.science/pith/MNCNDQJVZTZFWQZHPTDOJJRZM7/action/author_attestation","sign_citation":"https://pith.science/pith/MNCNDQJVZTZFWQZHPTDOJJRZM7/action/citation_signature","submit_replication":"https://pith.science/pith/MNCNDQJVZTZFWQZHPTDOJJRZM7/action/replication_record"}},"created_at":"2026-05-18T02:52:25.209722+00:00","updated_at":"2026-05-18T02:52:25.209722+00:00"}