{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:XAKWRZUDTXYUG7IYEFQIBYLCU5","short_pith_number":"pith:XAKWRZUD","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"},"canonical_sha256":"b81568e6839df1437d18216080e162a74b1be45808213a7cc832d1643ec19e9f","source":{"kind":"arxiv","id":"1704.00883","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.00883","created_at":"2026-05-18T00:47:18Z"},{"alias_kind":"arxiv_version","alias_value":"1704.00883v1","created_at":"2026-05-18T00:47:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.00883","created_at":"2026-05-18T00:47:18Z"},{"alias_kind":"pith_short_12","alias_value":"XAKWRZUDTXYU","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"XAKWRZUDTXYUG7IY","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"XAKWRZUD","created_at":"2026-05-18T12:31:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:XAKWRZUDTXYUG7IYEFQIBYLCU5","target":"record","payload":{"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"},"canonical_sha256":"b81568e6839df1437d18216080e162a74b1be45808213a7cc832d1643ec19e9f","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"},"source_kind":"arxiv","source_id":"1704.00883","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:47:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6awUD6AH+jyIQykTnUrqEYEtRiwbKuAe3SWd3Qs4HEy3pQXe5fgDH2krfY/LbkWJpstbGLeIILCBVFQn4Ou+Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T06:46:05.982108Z"},"content_sha256":"555225ec0d78b4b4e2009ea577676a8cd98461da78c561d2896c71d40d40d98e","schema_version":"1.0","event_id":"sha256:555225ec0d78b4b4e2009ea577676a8cd98461da78c561d2896c71d40d40d98e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:XAKWRZUDTXYUG7IYEFQIBYLCU5","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:47:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3knQcscd4KELbinob+wg6UUG9NAeN5mlg4fjP+fIV3pyfBINoPfgk7hhTA1UX8dQFh+8IPpZknawIZDhmLlPAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T06:46:05.982797Z"},"content_sha256":"af283919bc6282aceb33329df7091a4b613377b930119c63fa240efc75d6ebfd","schema_version":"1.0","event_id":"sha256:af283919bc6282aceb33329df7091a4b613377b930119c63fa240efc75d6ebfd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XAKWRZUDTXYUG7IYEFQIBYLCU5/bundle.json","state_url":"https://pith.science/pith/XAKWRZUDTXYUG7IYEFQIBYLCU5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XAKWRZUDTXYUG7IYEFQIBYLCU5/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-06T06:46:05Z","links":{"resolver":"https://pith.science/pith/XAKWRZUDTXYUG7IYEFQIBYLCU5","bundle":"https://pith.science/pith/XAKWRZUDTXYUG7IYEFQIBYLCU5/bundle.json","state":"https://pith.science/pith/XAKWRZUDTXYUG7IYEFQIBYLCU5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XAKWRZUDTXYUG7IYEFQIBYLCU5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:XAKWRZUDTXYUG7IYEFQIBYLCU5","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8846704e0d9bcca5000c8b6d2b6b26c71aab926a0fcb1c0dda820032b61ecfcf","cross_cats_sorted":["math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-04-04T06:05:31Z","title_canon_sha256":"7b90a98bdcc31e9f4055b1e408358d7c0c1da257d3ad0c2588bba8c361574a29"},"schema_version":"1.0","source":{"id":"1704.00883","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.00883","created_at":"2026-05-18T00:47:18Z"},{"alias_kind":"arxiv_version","alias_value":"1704.00883v1","created_at":"2026-05-18T00:47:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.00883","created_at":"2026-05-18T00:47:18Z"},{"alias_kind":"pith_short_12","alias_value":"XAKWRZUDTXYU","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"XAKWRZUDTXYUG7IY","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"XAKWRZUD","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:af283919bc6282aceb33329df7091a4b613377b930119c63fa240efc75d6ebfd","target":"graph","created_at":"2026-05-18T00:47:18Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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.","authors_text":"Jian Xiao","cross_cats":["math.MG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-04-04T06:05:31Z","title":"B\\'ezout type inequality in convex geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.00883","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:555225ec0d78b4b4e2009ea577676a8cd98461da78c561d2896c71d40d40d98e","target":"record","created_at":"2026-05-18T00:47:18Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8846704e0d9bcca5000c8b6d2b6b26c71aab926a0fcb1c0dda820032b61ecfcf","cross_cats_sorted":["math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-04-04T06:05:31Z","title_canon_sha256":"7b90a98bdcc31e9f4055b1e408358d7c0c1da257d3ad0c2588bba8c361574a29"},"schema_version":"1.0","source":{"id":"1704.00883","kind":"arxiv","version":1}},"canonical_sha256":"b81568e6839df1437d18216080e162a74b1be45808213a7cc832d1643ec19e9f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b81568e6839df1437d18216080e162a74b1be45808213a7cc832d1643ec19e9f","first_computed_at":"2026-05-18T00:47:18.947347Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:18.947347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cxMYMLFO04ArAFlD+iJLlNrlMOPdlIzHQ5Lw2vsubWQ56Bs5FXmLyK4vp/3rsRdci7GEIpEyTn32JR52Nwq2Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:18.948056Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.00883","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:555225ec0d78b4b4e2009ea577676a8cd98461da78c561d2896c71d40d40d98e","sha256:af283919bc6282aceb33329df7091a4b613377b930119c63fa240efc75d6ebfd"],"state_sha256":"9cbce45fa9e9b51d99720a7457e7925b9986a42715421898b6ea3c2b7fd3cc7a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HkvssIIB85l4x03nlgmaFTw3QGH9i27PyjqP68oKby62E4Otky/tNXzYwT5cEekEaAOyMRN5mEk59O4DULueDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T06:46:05.986666Z","bundle_sha256":"d77ae1de28f7fdda504e38764b121acada3161c2e123d1b696c8e76f0b52bcbc"}}