{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:OLGGBV4TSY4E5EU6I7HVLWRJ7V","short_pith_number":"pith:OLGGBV4T","schema_version":"1.0","canonical_sha256":"72cc60d79396384e929e47cf55da29fd5062e3ecad3b3209dc0e77e49807e6c1","source":{"kind":"arxiv","id":"1309.4807","version":3},"attestation_state":"computed","paper":{"title":"Normal 0-1 polytopes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AC","authors_text":"Huy Tai Ha, Kuei-Nuan Lin","submitted_at":"2013-09-18T22:05:44Z","abstract_excerpt":"We study the question of when 0-1 polytopes are normal or, equivalently, having the integer decomposition property. In particular, we shall associate to each 0-1 polytope a labeled hypergraph, and examine the equality between its Ehrhart and polytopal rings via the combinatorial structures of the labeled hypergraph."},"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":"1309.4807","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2013-09-18T22:05:44Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"36bbfe387c79165dc221496a96112761e8b046b66f173efd87b94525264b7fc5","abstract_canon_sha256":"274c2462002a0f3163a91febca9c41abd6d4a05c55cdbda62c1708a8f2b39856"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:26.280454Z","signature_b64":"wJIpo7ytDrNmIFFoB0GxCmO8e4dvpg+5r2AfVT3rT5yuvIfkBxwbHGKKFVxIZxto/rcCg47CR3L0tyBno7T9AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"72cc60d79396384e929e47cf55da29fd5062e3ecad3b3209dc0e77e49807e6c1","last_reissued_at":"2026-05-18T02:43:26.279788Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:26.279788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Normal 0-1 polytopes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AC","authors_text":"Huy Tai Ha, Kuei-Nuan Lin","submitted_at":"2013-09-18T22:05:44Z","abstract_excerpt":"We study the question of when 0-1 polytopes are normal or, equivalently, having the integer decomposition property. In particular, we shall associate to each 0-1 polytope a labeled hypergraph, and examine the equality between its Ehrhart and polytopal rings via the combinatorial structures of the labeled hypergraph."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.4807","kind":"arxiv","version":3},"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":"1309.4807","created_at":"2026-05-18T02:43:26.279904+00:00"},{"alias_kind":"arxiv_version","alias_value":"1309.4807v3","created_at":"2026-05-18T02:43:26.279904+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.4807","created_at":"2026-05-18T02:43:26.279904+00:00"},{"alias_kind":"pith_short_12","alias_value":"OLGGBV4TSY4E","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_16","alias_value":"OLGGBV4TSY4E5EU6","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_8","alias_value":"OLGGBV4T","created_at":"2026-05-18T12:27:54.935989+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/OLGGBV4TSY4E5EU6I7HVLWRJ7V","json":"https://pith.science/pith/OLGGBV4TSY4E5EU6I7HVLWRJ7V.json","graph_json":"https://pith.science/api/pith-number/OLGGBV4TSY4E5EU6I7HVLWRJ7V/graph.json","events_json":"https://pith.science/api/pith-number/OLGGBV4TSY4E5EU6I7HVLWRJ7V/events.json","paper":"https://pith.science/paper/OLGGBV4T"},"agent_actions":{"view_html":"https://pith.science/pith/OLGGBV4TSY4E5EU6I7HVLWRJ7V","download_json":"https://pith.science/pith/OLGGBV4TSY4E5EU6I7HVLWRJ7V.json","view_paper":"https://pith.science/paper/OLGGBV4T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1309.4807&json=true","fetch_graph":"https://pith.science/api/pith-number/OLGGBV4TSY4E5EU6I7HVLWRJ7V/graph.json","fetch_events":"https://pith.science/api/pith-number/OLGGBV4TSY4E5EU6I7HVLWRJ7V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OLGGBV4TSY4E5EU6I7HVLWRJ7V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OLGGBV4TSY4E5EU6I7HVLWRJ7V/action/storage_attestation","attest_author":"https://pith.science/pith/OLGGBV4TSY4E5EU6I7HVLWRJ7V/action/author_attestation","sign_citation":"https://pith.science/pith/OLGGBV4TSY4E5EU6I7HVLWRJ7V/action/citation_signature","submit_replication":"https://pith.science/pith/OLGGBV4TSY4E5EU6I7HVLWRJ7V/action/replication_record"}},"created_at":"2026-05-18T02:43:26.279904+00:00","updated_at":"2026-05-18T02:43:26.279904+00:00"}