{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:ZX4Q6TRBC5LUPMTWKMJY2BFD2Q","short_pith_number":"pith:ZX4Q6TRB","schema_version":"1.0","canonical_sha256":"cdf90f4e21175747b27653138d04a3d40010246c83e97a5ca865b99dece30a32","source":{"kind":"arxiv","id":"2412.06561","version":1},"attestation_state":"computed","paper":{"title":"On Motivic Zeta Functions and Stringy E-function via Embedded $\\mathbb{Q}$-Resolution","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Huaiqing Zuo, Quan Shi, Yifan Chen","submitted_at":"2024-12-09T15:12:55Z","abstract_excerpt":"We provide the formula of motivic zeta function for semi-quasihomogeneous singularities and in dimension two, we determine the poles of zeta functions. We also give another formula for stringy E-function using embedded $\\mathbb{Q}$-resolution, and we utilize it to calculate the stringy E-function for semi-quasihomogeneous polynomials and non-degenerate 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":"2412.06561","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AG","submitted_at":"2024-12-09T15:12:55Z","cross_cats_sorted":[],"title_canon_sha256":"d68510bfec49f8cdbb7808ebfffa4d0b6e18ab403bea77451c7b10f441b30b80","abstract_canon_sha256":"6a1e1e9027d2e9fa2b7e5adf2e01e17a5e0388c6dd88c42216e37a7cec3800dd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:46:34.118667Z","signature_b64":"OhN1IHq4MxXhlW2MDy9XQJLXPgbdgaK8XpbAAXY4Eg3f3OKiyr9CITncNqu7UKjyCxqD5XhG/D7To4ILPflyBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cdf90f4e21175747b27653138d04a3d40010246c83e97a5ca865b99dece30a32","last_reissued_at":"2026-07-05T09:46:34.118206Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:46:34.118206Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Motivic Zeta Functions and Stringy E-function via Embedded $\\mathbb{Q}$-Resolution","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Huaiqing Zuo, Quan Shi, Yifan Chen","submitted_at":"2024-12-09T15:12:55Z","abstract_excerpt":"We provide the formula of motivic zeta function for semi-quasihomogeneous singularities and in dimension two, we determine the poles of zeta functions. We also give another formula for stringy E-function using embedded $\\mathbb{Q}$-resolution, and we utilize it to calculate the stringy E-function for semi-quasihomogeneous polynomials and non-degenerate polynomials."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.06561","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.06561/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2412.06561","created_at":"2026-07-05T09:46:34.118264+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.06561v1","created_at":"2026-07-05T09:46:34.118264+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.06561","created_at":"2026-07-05T09:46:34.118264+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZX4Q6TRBC5LU","created_at":"2026-07-05T09:46:34.118264+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZX4Q6TRBC5LUPMTW","created_at":"2026-07-05T09:46:34.118264+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZX4Q6TRB","created_at":"2026-07-05T09:46:34.118264+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/ZX4Q6TRBC5LUPMTWKMJY2BFD2Q","json":"https://pith.science/pith/ZX4Q6TRBC5LUPMTWKMJY2BFD2Q.json","graph_json":"https://pith.science/api/pith-number/ZX4Q6TRBC5LUPMTWKMJY2BFD2Q/graph.json","events_json":"https://pith.science/api/pith-number/ZX4Q6TRBC5LUPMTWKMJY2BFD2Q/events.json","paper":"https://pith.science/paper/ZX4Q6TRB"},"agent_actions":{"view_html":"https://pith.science/pith/ZX4Q6TRBC5LUPMTWKMJY2BFD2Q","download_json":"https://pith.science/pith/ZX4Q6TRBC5LUPMTWKMJY2BFD2Q.json","view_paper":"https://pith.science/paper/ZX4Q6TRB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.06561&json=true","fetch_graph":"https://pith.science/api/pith-number/ZX4Q6TRBC5LUPMTWKMJY2BFD2Q/graph.json","fetch_events":"https://pith.science/api/pith-number/ZX4Q6TRBC5LUPMTWKMJY2BFD2Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZX4Q6TRBC5LUPMTWKMJY2BFD2Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZX4Q6TRBC5LUPMTWKMJY2BFD2Q/action/storage_attestation","attest_author":"https://pith.science/pith/ZX4Q6TRBC5LUPMTWKMJY2BFD2Q/action/author_attestation","sign_citation":"https://pith.science/pith/ZX4Q6TRBC5LUPMTWKMJY2BFD2Q/action/citation_signature","submit_replication":"https://pith.science/pith/ZX4Q6TRBC5LUPMTWKMJY2BFD2Q/action/replication_record"}},"created_at":"2026-07-05T09:46:34.118264+00:00","updated_at":"2026-07-05T09:46:34.118264+00:00"}