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For an action of a finite group $G$, let $\\Delta^{L}(\\{t_{a i}\\})$ be the Alexander polynomial in $r\\vert G\\vert$ variables of the algebraic link $(\\bigcup\\limits_{i=1}^{r}\\bigcup\\limits_{a\\in G}a C_i )\\cap S^3_{\\varepsilon}$ and let $\\zeta(t_1,\\ldots, t_r) = \\Delta^{L}(t_1,\\ldots,t_1,t_2,\\ldots,t_2, \\ldots,t_r,\\ldots,t_r)$ with $\\vert G\\vert$ identical variables in each group. (If $r=1$, $\\zeta(t)$ is the monodromy zeta function of the function germ $\\prod\\limits_{a\\in G} a^*f$, where $f=0$ is an equation defining"},"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":"1604.08152","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-04-27T17:43:13Z","cross_cats_sorted":[],"title_canon_sha256":"9a21658f2cec548a3d47d208e9ff4a318a3bafa6c785d1e95a97ed8fc9d0d270","abstract_canon_sha256":"523af32fee5e307b963ac7c671154f5122325f89baf548fd8511ebc2fa12260f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:07.961748Z","signature_b64":"Bh3s0kL+gA0zLSkDuVAGKna2uJqRZWeHH7OjAAhjUdFFNPwNxNlrhr6IepXz/5vsyeqEXJ7UoO8W/ZRsCYrNDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3eff8b44ecaeba0f4c5526541013109de78f32c2ee133b109101e2ad1774bacf","last_reissued_at":"2026-05-18T01:16:07.961044Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:07.961044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the topological type of a set of plane valuations with symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"A. Campillo, F. Delgado, S.M. Gusein-Zade","submitted_at":"2016-04-27T17:43:13Z","abstract_excerpt":"Let $\\{C_i : i=1,\\ldots,r\\}$ be a set of irreducible plane curve singularities. For an action of a finite group $G$, let $\\Delta^{L}(\\{t_{a i}\\})$ be the Alexander polynomial in $r\\vert G\\vert$ variables of the algebraic link $(\\bigcup\\limits_{i=1}^{r}\\bigcup\\limits_{a\\in G}a C_i )\\cap S^3_{\\varepsilon}$ and let $\\zeta(t_1,\\ldots, t_r) = \\Delta^{L}(t_1,\\ldots,t_1,t_2,\\ldots,t_2, \\ldots,t_r,\\ldots,t_r)$ with $\\vert G\\vert$ identical variables in each group. 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