{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:Z3UGI7RDVN4PH2A55V2ZLUKK2Z","short_pith_number":"pith:Z3UGI7RD","schema_version":"1.0","canonical_sha256":"cee8647e23ab78f3e81ded7595d14ad676eff600cd96e0ceab16f3bfd4224b94","source":{"kind":"arxiv","id":"1609.02790","version":1},"attestation_state":"computed","paper":{"title":"Lecture hall P-partitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Madeleine Leander, Petter Br\\\"and\\'en","submitted_at":"2016-09-09T13:27:52Z","abstract_excerpt":"We introduce and study s-lecture hall P-partitions which is a generalization of s-lecture hall partitions to labeled (weighted) posets. We provide generating function identities for s-lecture hall P-partitions that generalize identities obtained by Savage and Schuster for s-lecture hall partitions, and by Stanley for P-partitions. We also prove that the corresponding (P,s)-Eulerian polynomials are real-rooted for certain pairs (P,s), and speculate on unimodality properties of these 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":"1609.02790","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-09-09T13:27:52Z","cross_cats_sorted":[],"title_canon_sha256":"22831a315c680c005f3addacc1b8996b504fa2d91203e4dc362ee9991c15b218","abstract_canon_sha256":"f129bcd666fd34cb64e9ba1a928c457247ccca17765778078b89acd3eb91808f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:51.219773Z","signature_b64":"bSJL8OG2w2NZlXItQA0dq2Uv9AKqx1xILUTqFqlHEZlAX32FPiIP9isAT7/JpdFPX9FD3MDLpUdHKwtvG8wZBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cee8647e23ab78f3e81ded7595d14ad676eff600cd96e0ceab16f3bfd4224b94","last_reissued_at":"2026-05-18T01:04:51.219203Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:51.219203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lecture hall P-partitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Madeleine Leander, Petter Br\\\"and\\'en","submitted_at":"2016-09-09T13:27:52Z","abstract_excerpt":"We introduce and study s-lecture hall P-partitions which is a generalization of s-lecture hall partitions to labeled (weighted) posets. We provide generating function identities for s-lecture hall P-partitions that generalize identities obtained by Savage and Schuster for s-lecture hall partitions, and by Stanley for P-partitions. We also prove that the corresponding (P,s)-Eulerian polynomials are real-rooted for certain pairs (P,s), and speculate on unimodality properties of these polynomials."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.02790","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":"1609.02790","created_at":"2026-05-18T01:04:51.219276+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.02790v1","created_at":"2026-05-18T01:04:51.219276+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.02790","created_at":"2026-05-18T01:04:51.219276+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z3UGI7RDVN4P","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z3UGI7RDVN4PH2A5","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z3UGI7RD","created_at":"2026-05-18T12:30:53.716459+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/Z3UGI7RDVN4PH2A55V2ZLUKK2Z","json":"https://pith.science/pith/Z3UGI7RDVN4PH2A55V2ZLUKK2Z.json","graph_json":"https://pith.science/api/pith-number/Z3UGI7RDVN4PH2A55V2ZLUKK2Z/graph.json","events_json":"https://pith.science/api/pith-number/Z3UGI7RDVN4PH2A55V2ZLUKK2Z/events.json","paper":"https://pith.science/paper/Z3UGI7RD"},"agent_actions":{"view_html":"https://pith.science/pith/Z3UGI7RDVN4PH2A55V2ZLUKK2Z","download_json":"https://pith.science/pith/Z3UGI7RDVN4PH2A55V2ZLUKK2Z.json","view_paper":"https://pith.science/paper/Z3UGI7RD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.02790&json=true","fetch_graph":"https://pith.science/api/pith-number/Z3UGI7RDVN4PH2A55V2ZLUKK2Z/graph.json","fetch_events":"https://pith.science/api/pith-number/Z3UGI7RDVN4PH2A55V2ZLUKK2Z/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z3UGI7RDVN4PH2A55V2ZLUKK2Z/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z3UGI7RDVN4PH2A55V2ZLUKK2Z/action/storage_attestation","attest_author":"https://pith.science/pith/Z3UGI7RDVN4PH2A55V2ZLUKK2Z/action/author_attestation","sign_citation":"https://pith.science/pith/Z3UGI7RDVN4PH2A55V2ZLUKK2Z/action/citation_signature","submit_replication":"https://pith.science/pith/Z3UGI7RDVN4PH2A55V2ZLUKK2Z/action/replication_record"}},"created_at":"2026-05-18T01:04:51.219276+00:00","updated_at":"2026-05-18T01:04:51.219276+00:00"}