{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:2N34NCFMU7AZXXVTJUVIPQGXOE","short_pith_number":"pith:2N34NCFM","schema_version":"1.0","canonical_sha256":"d377c688aca7c19bdeb34d2a87c0d7711714dcc608a4dc0be4e0f89b63b044d3","source":{"kind":"arxiv","id":"1002.4589","version":2},"attestation_state":"computed","paper":{"title":"Poles of Archimedean zeta functions for analytic mappings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.AG","authors_text":"E. Leon-Cardenal, W. A. Zuniga-Galindo, Willem Veys","submitted_at":"2010-02-24T17:43:26Z","abstract_excerpt":"In this paper, we give a description of the possible poles of the local zeta function attached to a complex or real analytic mapping in terms of a log-principalization of an ideal associated to the mapping. When the mapping is a non-degenerate one, we give an explicit list for the possible poles of the corresponding local zeta function in terms of the normal vectors to the supporting hyperplanes of a Newton polyhedron attached to the mapping, and some additional vectors (or rays) that appear in the construction of a simplicial conical subdivision of the first orthant. These results extend the "},"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":"1002.4589","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-02-24T17:43:26Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"e1475c430c2a0066a9b748e45aa873f121ac119cdf72780f63e8e3194893fedd","abstract_canon_sha256":"816649fcc7c2cbe24b05ef1855177ce0c8b7f4ff169509fba627636d10265629"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:02.348537Z","signature_b64":"8MSmX+z6v12hVdycmHaAt6dIaPjsxczUYKXlQFPe9V0rnYe28y32heZpEDb8WogtyVLK3Zsq6Il1dwhaNIcwCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d377c688aca7c19bdeb34d2a87c0d7711714dcc608a4dc0be4e0f89b63b044d3","last_reissued_at":"2026-05-18T02:58:02.348059Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:02.348059Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Poles of Archimedean zeta functions for analytic mappings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.AG","authors_text":"E. Leon-Cardenal, W. A. Zuniga-Galindo, Willem Veys","submitted_at":"2010-02-24T17:43:26Z","abstract_excerpt":"In this paper, we give a description of the possible poles of the local zeta function attached to a complex or real analytic mapping in terms of a log-principalization of an ideal associated to the mapping. When the mapping is a non-degenerate one, we give an explicit list for the possible poles of the corresponding local zeta function in terms of the normal vectors to the supporting hyperplanes of a Newton polyhedron attached to the mapping, and some additional vectors (or rays) that appear in the construction of a simplicial conical subdivision of the first orthant. These results extend the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.4589","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":"1002.4589","created_at":"2026-05-18T02:58:02.348123+00:00"},{"alias_kind":"arxiv_version","alias_value":"1002.4589v2","created_at":"2026-05-18T02:58:02.348123+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.4589","created_at":"2026-05-18T02:58:02.348123+00:00"},{"alias_kind":"pith_short_12","alias_value":"2N34NCFMU7AZ","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_16","alias_value":"2N34NCFMU7AZXXVT","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_8","alias_value":"2N34NCFM","created_at":"2026-05-18T12:26:03.138858+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/2N34NCFMU7AZXXVTJUVIPQGXOE","json":"https://pith.science/pith/2N34NCFMU7AZXXVTJUVIPQGXOE.json","graph_json":"https://pith.science/api/pith-number/2N34NCFMU7AZXXVTJUVIPQGXOE/graph.json","events_json":"https://pith.science/api/pith-number/2N34NCFMU7AZXXVTJUVIPQGXOE/events.json","paper":"https://pith.science/paper/2N34NCFM"},"agent_actions":{"view_html":"https://pith.science/pith/2N34NCFMU7AZXXVTJUVIPQGXOE","download_json":"https://pith.science/pith/2N34NCFMU7AZXXVTJUVIPQGXOE.json","view_paper":"https://pith.science/paper/2N34NCFM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1002.4589&json=true","fetch_graph":"https://pith.science/api/pith-number/2N34NCFMU7AZXXVTJUVIPQGXOE/graph.json","fetch_events":"https://pith.science/api/pith-number/2N34NCFMU7AZXXVTJUVIPQGXOE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2N34NCFMU7AZXXVTJUVIPQGXOE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2N34NCFMU7AZXXVTJUVIPQGXOE/action/storage_attestation","attest_author":"https://pith.science/pith/2N34NCFMU7AZXXVTJUVIPQGXOE/action/author_attestation","sign_citation":"https://pith.science/pith/2N34NCFMU7AZXXVTJUVIPQGXOE/action/citation_signature","submit_replication":"https://pith.science/pith/2N34NCFMU7AZXXVTJUVIPQGXOE/action/replication_record"}},"created_at":"2026-05-18T02:58:02.348123+00:00","updated_at":"2026-05-18T02:58:02.348123+00:00"}