{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:EF64BAFYPZCSXSSAFPHP7LUC3Y","short_pith_number":"pith:EF64BAFY","schema_version":"1.0","canonical_sha256":"217dc080b87e452bca402bceffae82de00c03d73df053e547364bd780bea2b2c","source":{"kind":"arxiv","id":"1704.08057","version":1},"attestation_state":"computed","paper":{"title":"Local $h$-vectors of Quasi-Geometric and Barycentric Subdivisions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Martina Juhnke-Kubitzke, Richard Sieg, Satoshi Murai","submitted_at":"2017-04-26T11:15:52Z","abstract_excerpt":"In this paper, we answer two questions on local $h$-vectors, which were asked by Athanasiadis. First, we characterize all possible local $h$-vectors of quasi-geometric subdivisions of a simplex. Second, we prove that the local $\\gamma$-vector of the barycentric subdivision of any CW-regular subdivision of a simplex is nonnegative. Along the way, we derive a new recurrence formula for the derangement polynomials."},"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":"1704.08057","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-04-26T11:15:52Z","cross_cats_sorted":[],"title_canon_sha256":"81708d67850e87f5bf4219e4edfe8fd7efb223d1161d3830960d2b9a3a757a71","abstract_canon_sha256":"508ba2a26486b68682720229bd0f012131a6619ec6cd89a41f2ad515c8ea5c7d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:31.217439Z","signature_b64":"ARtMQUmFw9mrCj1vTlH5OypYjLc+AkyUn+AUFeJlpDoanaH5AR5n3E0KIRAgTseZeRxHQ0eZthQan1TtHeYOCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"217dc080b87e452bca402bceffae82de00c03d73df053e547364bd780bea2b2c","last_reissued_at":"2026-05-18T00:45:31.217047Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:31.217047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Local $h$-vectors of Quasi-Geometric and Barycentric Subdivisions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Martina Juhnke-Kubitzke, Richard Sieg, Satoshi Murai","submitted_at":"2017-04-26T11:15:52Z","abstract_excerpt":"In this paper, we answer two questions on local $h$-vectors, which were asked by Athanasiadis. First, we characterize all possible local $h$-vectors of quasi-geometric subdivisions of a simplex. Second, we prove that the local $\\gamma$-vector of the barycentric subdivision of any CW-regular subdivision of a simplex is nonnegative. Along the way, we derive a new recurrence formula for the derangement polynomials."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.08057","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":"1704.08057","created_at":"2026-05-18T00:45:31.217104+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.08057v1","created_at":"2026-05-18T00:45:31.217104+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.08057","created_at":"2026-05-18T00:45:31.217104+00:00"},{"alias_kind":"pith_short_12","alias_value":"EF64BAFYPZCS","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_16","alias_value":"EF64BAFYPZCSXSSA","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_8","alias_value":"EF64BAFY","created_at":"2026-05-18T12:31:12.930513+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/EF64BAFYPZCSXSSAFPHP7LUC3Y","json":"https://pith.science/pith/EF64BAFYPZCSXSSAFPHP7LUC3Y.json","graph_json":"https://pith.science/api/pith-number/EF64BAFYPZCSXSSAFPHP7LUC3Y/graph.json","events_json":"https://pith.science/api/pith-number/EF64BAFYPZCSXSSAFPHP7LUC3Y/events.json","paper":"https://pith.science/paper/EF64BAFY"},"agent_actions":{"view_html":"https://pith.science/pith/EF64BAFYPZCSXSSAFPHP7LUC3Y","download_json":"https://pith.science/pith/EF64BAFYPZCSXSSAFPHP7LUC3Y.json","view_paper":"https://pith.science/paper/EF64BAFY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.08057&json=true","fetch_graph":"https://pith.science/api/pith-number/EF64BAFYPZCSXSSAFPHP7LUC3Y/graph.json","fetch_events":"https://pith.science/api/pith-number/EF64BAFYPZCSXSSAFPHP7LUC3Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EF64BAFYPZCSXSSAFPHP7LUC3Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EF64BAFYPZCSXSSAFPHP7LUC3Y/action/storage_attestation","attest_author":"https://pith.science/pith/EF64BAFYPZCSXSSAFPHP7LUC3Y/action/author_attestation","sign_citation":"https://pith.science/pith/EF64BAFYPZCSXSSAFPHP7LUC3Y/action/citation_signature","submit_replication":"https://pith.science/pith/EF64BAFYPZCSXSSAFPHP7LUC3Y/action/replication_record"}},"created_at":"2026-05-18T00:45:31.217104+00:00","updated_at":"2026-05-18T00:45:31.217104+00:00"}