{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:ENIEVURP7JDF5DGWLSLJS6R6O7","short_pith_number":"pith:ENIEVURP","schema_version":"1.0","canonical_sha256":"23504ad22ffa465e8cd65c96997a3e77d0b4fc28596ef9496bb23ad46fb78a00","source":{"kind":"arxiv","id":"1812.05514","version":2},"attestation_state":"computed","paper":{"title":"On Archimedean Zeta Functions and Newton Polyhedra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.FA","authors_text":"Edwin Le\\'on-Cardenal, Fuensanta Aroca, Mirna G\\'omez-Morales","submitted_at":"2018-12-13T16:43:49Z","abstract_excerpt":"Let $f$ be a polynomial function over the complex numbers and let $\\phi$ be a smooth function over $\\mathbb{C}$ with compact support. When $f$ is non-degenerate with respect to its Newton polyhedron, we give an explicit list of candidate poles for the complex local zeta function attached to $f$ and $\\phi$. The provided list is given just in terms of the normal vectors to the supporting hyperplanes of the Newton polyhedron attached to $f$. More precisely, our list does not contain the candidate poles coming from the additional vectors required in the regular conical subdivision of the first ort"},"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":"1812.05514","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-12-13T16:43:49Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"5119ded9f86f0ebf347fd41c30d6e031ff44fce2529d18781a28f5448941a15d","abstract_canon_sha256":"85eb27c2de3882d9791972c6cce944e6fff62e2977d2ab167c59ed2b9980d0a3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:53.456009Z","signature_b64":"aqY0J+Q1J3fVGwv7IE1QKkFMljTr/n7dR0x07hFzY6JPacsDqqovP+4UAUGT66Ssg+FQ3pGFEAOEyTTrArR9BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"23504ad22ffa465e8cd65c96997a3e77d0b4fc28596ef9496bb23ad46fb78a00","last_reissued_at":"2026-05-17T23:55:53.455535Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:53.455535Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Archimedean Zeta Functions and Newton Polyhedra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.FA","authors_text":"Edwin Le\\'on-Cardenal, Fuensanta Aroca, Mirna G\\'omez-Morales","submitted_at":"2018-12-13T16:43:49Z","abstract_excerpt":"Let $f$ be a polynomial function over the complex numbers and let $\\phi$ be a smooth function over $\\mathbb{C}$ with compact support. When $f$ is non-degenerate with respect to its Newton polyhedron, we give an explicit list of candidate poles for the complex local zeta function attached to $f$ and $\\phi$. The provided list is given just in terms of the normal vectors to the supporting hyperplanes of the Newton polyhedron attached to $f$. More precisely, our list does not contain the candidate poles coming from the additional vectors required in the regular conical subdivision of the first ort"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.05514","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":"1812.05514","created_at":"2026-05-17T23:55:53.455605+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.05514v2","created_at":"2026-05-17T23:55:53.455605+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.05514","created_at":"2026-05-17T23:55:53.455605+00:00"},{"alias_kind":"pith_short_12","alias_value":"ENIEVURP7JDF","created_at":"2026-05-18T12:32:22.470017+00:00"},{"alias_kind":"pith_short_16","alias_value":"ENIEVURP7JDF5DGW","created_at":"2026-05-18T12:32:22.470017+00:00"},{"alias_kind":"pith_short_8","alias_value":"ENIEVURP","created_at":"2026-05-18T12:32:22.470017+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/ENIEVURP7JDF5DGWLSLJS6R6O7","json":"https://pith.science/pith/ENIEVURP7JDF5DGWLSLJS6R6O7.json","graph_json":"https://pith.science/api/pith-number/ENIEVURP7JDF5DGWLSLJS6R6O7/graph.json","events_json":"https://pith.science/api/pith-number/ENIEVURP7JDF5DGWLSLJS6R6O7/events.json","paper":"https://pith.science/paper/ENIEVURP"},"agent_actions":{"view_html":"https://pith.science/pith/ENIEVURP7JDF5DGWLSLJS6R6O7","download_json":"https://pith.science/pith/ENIEVURP7JDF5DGWLSLJS6R6O7.json","view_paper":"https://pith.science/paper/ENIEVURP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.05514&json=true","fetch_graph":"https://pith.science/api/pith-number/ENIEVURP7JDF5DGWLSLJS6R6O7/graph.json","fetch_events":"https://pith.science/api/pith-number/ENIEVURP7JDF5DGWLSLJS6R6O7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ENIEVURP7JDF5DGWLSLJS6R6O7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ENIEVURP7JDF5DGWLSLJS6R6O7/action/storage_attestation","attest_author":"https://pith.science/pith/ENIEVURP7JDF5DGWLSLJS6R6O7/action/author_attestation","sign_citation":"https://pith.science/pith/ENIEVURP7JDF5DGWLSLJS6R6O7/action/citation_signature","submit_replication":"https://pith.science/pith/ENIEVURP7JDF5DGWLSLJS6R6O7/action/replication_record"}},"created_at":"2026-05-17T23:55:53.455605+00:00","updated_at":"2026-05-17T23:55:53.455605+00:00"}