{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:FZ63CBBJXBN3N3QMZDI4ITRZE3","short_pith_number":"pith:FZ63CBBJ","schema_version":"1.0","canonical_sha256":"2e7db10429b85bb6ee0cc8d1c44e3926e397cdaffe9fbfc1eb62f5961eb20e45","source":{"kind":"arxiv","id":"1203.3344","version":2},"attestation_state":"computed","paper":{"title":"On an equivariant version of the zeta function of a transformation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"A. Melle-Hernandez, I. Luengo, S. M. Gusein-Zade","submitted_at":"2012-03-15T12:25:52Z","abstract_excerpt":"Earlier the authors offered an equivariant version of the classical monodromy zeta function of a G-invariant function germ with a finite group G as a power series with the coefficients from the Burnside ring of the group G tensored by the field of rational numbers. One of the main ingredients of the definition was the definition of the equivariant Lefschetz number of a G-equivariant transformation given by W.L\\\"uck and J.Rosenberg. Here we offer another approach to a definition of the equivariant Lefschetz number of a transformation and describe the corresponding notions of the equivariant zet"},"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":"1203.3344","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-15T12:25:52Z","cross_cats_sorted":[],"title_canon_sha256":"40c5fb3aa20bfbdbf82bae41087dccc3eb29b5342eee1863a005085d5a2fc334","abstract_canon_sha256":"e30d583a211455173931e45a97f257651f647b2345117e0b73f15c75153a3962"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:30:55.496479Z","signature_b64":"SOxEraGgFMpEDrGIA2cpBZBYjZ/sERntXQ+KKkQVjqte7TpE4YYJuvli3IcH6GnI3yQMb2DA0u/iNv5QdFfwCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e7db10429b85bb6ee0cc8d1c44e3926e397cdaffe9fbfc1eb62f5961eb20e45","last_reissued_at":"2026-05-18T03:30:55.495745Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:30:55.495745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On an equivariant version of the zeta function of a transformation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"A. Melle-Hernandez, I. Luengo, S. M. Gusein-Zade","submitted_at":"2012-03-15T12:25:52Z","abstract_excerpt":"Earlier the authors offered an equivariant version of the classical monodromy zeta function of a G-invariant function germ with a finite group G as a power series with the coefficients from the Burnside ring of the group G tensored by the field of rational numbers. One of the main ingredients of the definition was the definition of the equivariant Lefschetz number of a G-equivariant transformation given by W.L\\\"uck and J.Rosenberg. Here we offer another approach to a definition of the equivariant Lefschetz number of a transformation and describe the corresponding notions of the equivariant zet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.3344","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":"1203.3344","created_at":"2026-05-18T03:30:55.495857+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.3344v2","created_at":"2026-05-18T03:30:55.495857+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.3344","created_at":"2026-05-18T03:30:55.495857+00:00"},{"alias_kind":"pith_short_12","alias_value":"FZ63CBBJXBN3","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_16","alias_value":"FZ63CBBJXBN3N3QM","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_8","alias_value":"FZ63CBBJ","created_at":"2026-05-18T12:27:06.952714+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/FZ63CBBJXBN3N3QMZDI4ITRZE3","json":"https://pith.science/pith/FZ63CBBJXBN3N3QMZDI4ITRZE3.json","graph_json":"https://pith.science/api/pith-number/FZ63CBBJXBN3N3QMZDI4ITRZE3/graph.json","events_json":"https://pith.science/api/pith-number/FZ63CBBJXBN3N3QMZDI4ITRZE3/events.json","paper":"https://pith.science/paper/FZ63CBBJ"},"agent_actions":{"view_html":"https://pith.science/pith/FZ63CBBJXBN3N3QMZDI4ITRZE3","download_json":"https://pith.science/pith/FZ63CBBJXBN3N3QMZDI4ITRZE3.json","view_paper":"https://pith.science/paper/FZ63CBBJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.3344&json=true","fetch_graph":"https://pith.science/api/pith-number/FZ63CBBJXBN3N3QMZDI4ITRZE3/graph.json","fetch_events":"https://pith.science/api/pith-number/FZ63CBBJXBN3N3QMZDI4ITRZE3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FZ63CBBJXBN3N3QMZDI4ITRZE3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FZ63CBBJXBN3N3QMZDI4ITRZE3/action/storage_attestation","attest_author":"https://pith.science/pith/FZ63CBBJXBN3N3QMZDI4ITRZE3/action/author_attestation","sign_citation":"https://pith.science/pith/FZ63CBBJXBN3N3QMZDI4ITRZE3/action/citation_signature","submit_replication":"https://pith.science/pith/FZ63CBBJXBN3N3QMZDI4ITRZE3/action/replication_record"}},"created_at":"2026-05-18T03:30:55.495857+00:00","updated_at":"2026-05-18T03:30:55.495857+00:00"}