{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:TUM4WVRZQ5CLYYJ33NQGRUK7E6","short_pith_number":"pith:TUM4WVRZ","schema_version":"1.0","canonical_sha256":"9d19cb56398744bc613bdb6068d15f2797a52dd3583a2ea07a629bc97c120810","source":{"kind":"arxiv","id":"1503.09012","version":2},"attestation_state":"computed","paper":{"title":"On Poincar\\'e series associated with links of normal surface singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.GT","authors_text":"Tam\\'as L\\'aszl\\'o, Zsolt Szil\\'agyi","submitted_at":"2015-03-31T11:48:38Z","abstract_excerpt":"We study the counting function of topological Poincar\\'e series associated with rational homology sphere plumbed 3-manifold with connected negative definite tree, interpreting as an alternating sum of coefficient functions associated with some Taylor expansions. It is motivated by a theorem of Szenes and Vergne which expresses these coefficient functions in terms of Jeffrey--Kirwan residues. This is used to prove the uniqueness of the quasipolynomiality inside a special cone, the structure of the counting function in terms of the graph and construction for a polynomial generalization of the Se"},"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":"1503.09012","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-03-31T11:48:38Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"079476032b41e81eddb03afd20f24b7515ffc5358326cd044702cef8ad21abae","abstract_canon_sha256":"7ef48a9b5a1fa910ddb8516c96433d9ef9ed8cc446994abf04b2d85ac93660b3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:29:54.402676Z","signature_b64":"vul8cSJtYf2DKW2ulfXuQHG/B5ua8a2AyZuyuQnYXfG665d0i80Pk4xCuD3TMn8CltRJtw1ZnL7TyvQVep5pCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d19cb56398744bc613bdb6068d15f2797a52dd3583a2ea07a629bc97c120810","last_reissued_at":"2026-05-18T01:29:54.402174Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:29:54.402174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Poincar\\'e series associated with links of normal surface singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.GT","authors_text":"Tam\\'as L\\'aszl\\'o, Zsolt Szil\\'agyi","submitted_at":"2015-03-31T11:48:38Z","abstract_excerpt":"We study the counting function of topological Poincar\\'e series associated with rational homology sphere plumbed 3-manifold with connected negative definite tree, interpreting as an alternating sum of coefficient functions associated with some Taylor expansions. It is motivated by a theorem of Szenes and Vergne which expresses these coefficient functions in terms of Jeffrey--Kirwan residues. This is used to prove the uniqueness of the quasipolynomiality inside a special cone, the structure of the counting function in terms of the graph and construction for a polynomial generalization of the Se"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.09012","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":"1503.09012","created_at":"2026-05-18T01:29:54.402242+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.09012v2","created_at":"2026-05-18T01:29:54.402242+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.09012","created_at":"2026-05-18T01:29:54.402242+00:00"},{"alias_kind":"pith_short_12","alias_value":"TUM4WVRZQ5CL","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_16","alias_value":"TUM4WVRZQ5CLYYJ3","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_8","alias_value":"TUM4WVRZ","created_at":"2026-05-18T12:29:42.218222+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/TUM4WVRZQ5CLYYJ33NQGRUK7E6","json":"https://pith.science/pith/TUM4WVRZQ5CLYYJ33NQGRUK7E6.json","graph_json":"https://pith.science/api/pith-number/TUM4WVRZQ5CLYYJ33NQGRUK7E6/graph.json","events_json":"https://pith.science/api/pith-number/TUM4WVRZQ5CLYYJ33NQGRUK7E6/events.json","paper":"https://pith.science/paper/TUM4WVRZ"},"agent_actions":{"view_html":"https://pith.science/pith/TUM4WVRZQ5CLYYJ33NQGRUK7E6","download_json":"https://pith.science/pith/TUM4WVRZQ5CLYYJ33NQGRUK7E6.json","view_paper":"https://pith.science/paper/TUM4WVRZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.09012&json=true","fetch_graph":"https://pith.science/api/pith-number/TUM4WVRZQ5CLYYJ33NQGRUK7E6/graph.json","fetch_events":"https://pith.science/api/pith-number/TUM4WVRZQ5CLYYJ33NQGRUK7E6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TUM4WVRZQ5CLYYJ33NQGRUK7E6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TUM4WVRZQ5CLYYJ33NQGRUK7E6/action/storage_attestation","attest_author":"https://pith.science/pith/TUM4WVRZQ5CLYYJ33NQGRUK7E6/action/author_attestation","sign_citation":"https://pith.science/pith/TUM4WVRZQ5CLYYJ33NQGRUK7E6/action/citation_signature","submit_replication":"https://pith.science/pith/TUM4WVRZQ5CLYYJ33NQGRUK7E6/action/replication_record"}},"created_at":"2026-05-18T01:29:54.402242+00:00","updated_at":"2026-05-18T01:29:54.402242+00:00"}