{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:GC43IBM3L3W6537DHBMSXGR3C5","short_pith_number":"pith:GC43IBM3","schema_version":"1.0","canonical_sha256":"30b9b4059b5eedeeefe338592b9a3b176e9c13bf553ac440f666570c8a26d6cb","source":{"kind":"arxiv","id":"1412.8200","version":2},"attestation_state":"computed","paper":{"title":"A generalized FKG-inequality for compositions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.MG"],"primary_cat":"math.AC","authors_text":"Andr\\'as N\\'emethi, Dmitry Kerner","submitted_at":"2014-12-28T19:05:38Z","abstract_excerpt":"We prove a Fortuin-Kasteleyn-Ginibre-type inequality for the lattice of compositions of the integer n with at most r parts. As an immediate application we get a wide generalization of the classical Alexandrov-Fenchel inequality for mixed volumes and of Teissier's inequality for mixed covolumes."},"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":"1412.8200","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2014-12-28T19:05:38Z","cross_cats_sorted":["math.CO","math.MG"],"title_canon_sha256":"9e1b0ab00df1a4ccd5b8ff9b79e74a72ec98c5d4e3b4619596a5ca59f798cb87","abstract_canon_sha256":"8fb1d58b1d60b1dcde7e2a3091fc5f2fa7e7ef9f3f258b4276724dbe88681abd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:10.191797Z","signature_b64":"CisnHPF9WKtxEqctthG9bf8dK0THpm61X0eL5urccwHjtiH2VVNNZly0p6kbVZ9AKGpBaQ5VlBSDwRpDCG1RBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"30b9b4059b5eedeeefe338592b9a3b176e9c13bf553ac440f666570c8a26d6cb","last_reissued_at":"2026-05-18T00:44:10.191224Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:10.191224Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A generalized FKG-inequality for compositions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.MG"],"primary_cat":"math.AC","authors_text":"Andr\\'as N\\'emethi, Dmitry Kerner","submitted_at":"2014-12-28T19:05:38Z","abstract_excerpt":"We prove a Fortuin-Kasteleyn-Ginibre-type inequality for the lattice of compositions of the integer n with at most r parts. As an immediate application we get a wide generalization of the classical Alexandrov-Fenchel inequality for mixed volumes and of Teissier's inequality for mixed covolumes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.8200","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":"1412.8200","created_at":"2026-05-18T00:44:10.191334+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.8200v2","created_at":"2026-05-18T00:44:10.191334+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.8200","created_at":"2026-05-18T00:44:10.191334+00:00"},{"alias_kind":"pith_short_12","alias_value":"GC43IBM3L3W6","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_16","alias_value":"GC43IBM3L3W6537D","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_8","alias_value":"GC43IBM3","created_at":"2026-05-18T12:28:30.664211+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/GC43IBM3L3W6537DHBMSXGR3C5","json":"https://pith.science/pith/GC43IBM3L3W6537DHBMSXGR3C5.json","graph_json":"https://pith.science/api/pith-number/GC43IBM3L3W6537DHBMSXGR3C5/graph.json","events_json":"https://pith.science/api/pith-number/GC43IBM3L3W6537DHBMSXGR3C5/events.json","paper":"https://pith.science/paper/GC43IBM3"},"agent_actions":{"view_html":"https://pith.science/pith/GC43IBM3L3W6537DHBMSXGR3C5","download_json":"https://pith.science/pith/GC43IBM3L3W6537DHBMSXGR3C5.json","view_paper":"https://pith.science/paper/GC43IBM3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.8200&json=true","fetch_graph":"https://pith.science/api/pith-number/GC43IBM3L3W6537DHBMSXGR3C5/graph.json","fetch_events":"https://pith.science/api/pith-number/GC43IBM3L3W6537DHBMSXGR3C5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GC43IBM3L3W6537DHBMSXGR3C5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GC43IBM3L3W6537DHBMSXGR3C5/action/storage_attestation","attest_author":"https://pith.science/pith/GC43IBM3L3W6537DHBMSXGR3C5/action/author_attestation","sign_citation":"https://pith.science/pith/GC43IBM3L3W6537DHBMSXGR3C5/action/citation_signature","submit_replication":"https://pith.science/pith/GC43IBM3L3W6537DHBMSXGR3C5/action/replication_record"}},"created_at":"2026-05-18T00:44:10.191334+00:00","updated_at":"2026-05-18T00:44:10.191334+00:00"}