{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:N5KPAEBODDJAXLGHQ2PZMFBXDG","short_pith_number":"pith:N5KPAEBO","schema_version":"1.0","canonical_sha256":"6f54f0102e18d20bacc7869f961437198f7edcee52b1b915ccce34a593ff30ce","source":{"kind":"arxiv","id":"1710.09507","version":1},"attestation_state":"computed","paper":{"title":"Conjectures for Ehrhart $h^*$-vectors of Hypersimplices and Dilated Simplices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Nick Early","submitted_at":"2017-10-26T01:38:57Z","abstract_excerpt":"We formulate conjectures giving combinatorial interpretations of the Ehrhart $h^*$-vector, for hypersimplices, for dilated simplices and for generic cross-sections of cubes, in terms of certain decorated ordered set partitions. All were formulated and checked computationally during our graduate study at Penn State."},"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":"1710.09507","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-10-26T01:38:57Z","cross_cats_sorted":[],"title_canon_sha256":"16205caaf886ba6c61002774f09012d30100a0380d87ed10ce38336bd15fdae6","abstract_canon_sha256":"d771b7c7b686ac8e129604f70207c5e66bf00cfd06a16cb0f0b224c32d1bb604"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:59.246826Z","signature_b64":"D3UfTgk4m09Aj47S9glTiksdNAouMKm56yaiyiJyhvoNPVvMoEzoOnnKP/ssgk39ItpPpq3B7rXusWLZFfJXBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6f54f0102e18d20bacc7869f961437198f7edcee52b1b915ccce34a593ff30ce","last_reissued_at":"2026-05-18T00:31:59.246302Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:59.246302Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Conjectures for Ehrhart $h^*$-vectors of Hypersimplices and Dilated Simplices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Nick Early","submitted_at":"2017-10-26T01:38:57Z","abstract_excerpt":"We formulate conjectures giving combinatorial interpretations of the Ehrhart $h^*$-vector, for hypersimplices, for dilated simplices and for generic cross-sections of cubes, in terms of certain decorated ordered set partitions. All were formulated and checked computationally during our graduate study at Penn State."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.09507","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":"1710.09507","created_at":"2026-05-18T00:31:59.246394+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.09507v1","created_at":"2026-05-18T00:31:59.246394+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.09507","created_at":"2026-05-18T00:31:59.246394+00:00"},{"alias_kind":"pith_short_12","alias_value":"N5KPAEBODDJA","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_16","alias_value":"N5KPAEBODDJAXLGH","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_8","alias_value":"N5KPAEBO","created_at":"2026-05-18T12:31:31.346846+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/N5KPAEBODDJAXLGHQ2PZMFBXDG","json":"https://pith.science/pith/N5KPAEBODDJAXLGHQ2PZMFBXDG.json","graph_json":"https://pith.science/api/pith-number/N5KPAEBODDJAXLGHQ2PZMFBXDG/graph.json","events_json":"https://pith.science/api/pith-number/N5KPAEBODDJAXLGHQ2PZMFBXDG/events.json","paper":"https://pith.science/paper/N5KPAEBO"},"agent_actions":{"view_html":"https://pith.science/pith/N5KPAEBODDJAXLGHQ2PZMFBXDG","download_json":"https://pith.science/pith/N5KPAEBODDJAXLGHQ2PZMFBXDG.json","view_paper":"https://pith.science/paper/N5KPAEBO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.09507&json=true","fetch_graph":"https://pith.science/api/pith-number/N5KPAEBODDJAXLGHQ2PZMFBXDG/graph.json","fetch_events":"https://pith.science/api/pith-number/N5KPAEBODDJAXLGHQ2PZMFBXDG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/N5KPAEBODDJAXLGHQ2PZMFBXDG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/N5KPAEBODDJAXLGHQ2PZMFBXDG/action/storage_attestation","attest_author":"https://pith.science/pith/N5KPAEBODDJAXLGHQ2PZMFBXDG/action/author_attestation","sign_citation":"https://pith.science/pith/N5KPAEBODDJAXLGHQ2PZMFBXDG/action/citation_signature","submit_replication":"https://pith.science/pith/N5KPAEBODDJAXLGHQ2PZMFBXDG/action/replication_record"}},"created_at":"2026-05-18T00:31:59.246394+00:00","updated_at":"2026-05-18T00:31:59.246394+00:00"}