{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:XAKWRZUDTXYUG7IYEFQIBYLCU5","short_pith_number":"pith:XAKWRZUD","schema_version":"1.0","canonical_sha256":"b81568e6839df1437d18216080e162a74b1be45808213a7cc832d1643ec19e9f","source":{"kind":"arxiv","id":"1704.00883","version":1},"attestation_state":"computed","paper":{"title":"B\\'ezout type inequality in convex geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MG"],"primary_cat":"math.AG","authors_text":"Jian Xiao","submitted_at":"2017-04-04T06:05:31Z","abstract_excerpt":"We give a B\\'ezout type inequality for mixed volumes, which holds true for any convex bodies. The key ingredient is the reverse Khovanskii-Teissier inequality for convex bodies, which was obtained in our previous work and inspired by its correspondence in complex geometry."},"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":"1704.00883","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-04-04T06:05:31Z","cross_cats_sorted":["math.MG"],"title_canon_sha256":"7b90a98bdcc31e9f4055b1e408358d7c0c1da257d3ad0c2588bba8c361574a29","abstract_canon_sha256":"8846704e0d9bcca5000c8b6d2b6b26c71aab926a0fcb1c0dda820032b61ecfcf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:18.948056Z","signature_b64":"cxMYMLFO04ArAFlD+iJLlNrlMOPdlIzHQ5Lw2vsubWQ56Bs5FXmLyK4vp/3rsRdci7GEIpEyTn32JR52Nwq2Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b81568e6839df1437d18216080e162a74b1be45808213a7cc832d1643ec19e9f","last_reissued_at":"2026-05-18T00:47:18.947347Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:18.947347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"B\\'ezout type inequality in convex geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MG"],"primary_cat":"math.AG","authors_text":"Jian Xiao","submitted_at":"2017-04-04T06:05:31Z","abstract_excerpt":"We give a B\\'ezout type inequality for mixed volumes, which holds true for any convex bodies. The key ingredient is the reverse Khovanskii-Teissier inequality for convex bodies, which was obtained in our previous work and inspired by its correspondence in complex geometry."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.00883","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":"1704.00883","created_at":"2026-05-18T00:47:18.947466+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.00883v1","created_at":"2026-05-18T00:47:18.947466+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.00883","created_at":"2026-05-18T00:47:18.947466+00:00"},{"alias_kind":"pith_short_12","alias_value":"XAKWRZUDTXYU","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_16","alias_value":"XAKWRZUDTXYUG7IY","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_8","alias_value":"XAKWRZUD","created_at":"2026-05-18T12:31:53.515858+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/XAKWRZUDTXYUG7IYEFQIBYLCU5","json":"https://pith.science/pith/XAKWRZUDTXYUG7IYEFQIBYLCU5.json","graph_json":"https://pith.science/api/pith-number/XAKWRZUDTXYUG7IYEFQIBYLCU5/graph.json","events_json":"https://pith.science/api/pith-number/XAKWRZUDTXYUG7IYEFQIBYLCU5/events.json","paper":"https://pith.science/paper/XAKWRZUD"},"agent_actions":{"view_html":"https://pith.science/pith/XAKWRZUDTXYUG7IYEFQIBYLCU5","download_json":"https://pith.science/pith/XAKWRZUDTXYUG7IYEFQIBYLCU5.json","view_paper":"https://pith.science/paper/XAKWRZUD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.00883&json=true","fetch_graph":"https://pith.science/api/pith-number/XAKWRZUDTXYUG7IYEFQIBYLCU5/graph.json","fetch_events":"https://pith.science/api/pith-number/XAKWRZUDTXYUG7IYEFQIBYLCU5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XAKWRZUDTXYUG7IYEFQIBYLCU5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XAKWRZUDTXYUG7IYEFQIBYLCU5/action/storage_attestation","attest_author":"https://pith.science/pith/XAKWRZUDTXYUG7IYEFQIBYLCU5/action/author_attestation","sign_citation":"https://pith.science/pith/XAKWRZUDTXYUG7IYEFQIBYLCU5/action/citation_signature","submit_replication":"https://pith.science/pith/XAKWRZUDTXYUG7IYEFQIBYLCU5/action/replication_record"}},"created_at":"2026-05-18T00:47:18.947466+00:00","updated_at":"2026-05-18T00:47:18.947466+00:00"}