{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3JVTXEJUTU6Y45OO374X744BAZ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"3b26d41e325e69dd639a51eb89d6d7769711192b5913fbbf1e89f9e561b1d677","cross_cats_sorted":["math.CV","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-05-15T14:17:28Z","title_canon_sha256":"af9bd4540138da5d3a912603e57592142b4a27307badd38046f76dc95f8d7e18"},"schema_version":"1.0","source":{"id":"1705.05258","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.05258","created_at":"2026-05-18T00:35:04Z"},{"alias_kind":"arxiv_version","alias_value":"1705.05258v2","created_at":"2026-05-18T00:35:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.05258","created_at":"2026-05-18T00:35:04Z"},{"alias_kind":"pith_short_12","alias_value":"3JVTXEJUTU6Y","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3JVTXEJUTU6Y45OO","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3JVTXEJU","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:f5121ba6f7f3371e1c4a60d969c8c91165bb49ce3e195e76c24fec04ce6d688f","target":"graph","created_at":"2026-05-18T00:35:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"This work deals with the topological classification of germs of singular foliations on $(\\mathbb C^{2},0)$. Working in a suitable class of foliations we fix the topological invariants given by the separatrix set, the Camacho-Sad indices and the projective holonomy representations and we compute the moduli space of topological classes in terms of the cohomology of a new algebraic object that we call group-graph. This moduli space may be an infinite dimensional functional space but under generic conditions we prove that it has finite dimension and we describe its algebraic and topological struct","authors_text":"David Mar\\'in, \\'Eliane Salem, Jean-Fran\\c{c}ois Mattei","cross_cats":["math.CV","math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-05-15T14:17:28Z","title":"Topological moduli space for germs of holomorphic foliations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.05258","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b2c07f89b7743305de920e98987341f2d97b91ddffae756bd4e220efd2616a6d","target":"record","created_at":"2026-05-18T00:35:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"3b26d41e325e69dd639a51eb89d6d7769711192b5913fbbf1e89f9e561b1d677","cross_cats_sorted":["math.CV","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-05-15T14:17:28Z","title_canon_sha256":"af9bd4540138da5d3a912603e57592142b4a27307badd38046f76dc95f8d7e18"},"schema_version":"1.0","source":{"id":"1705.05258","kind":"arxiv","version":2}},"canonical_sha256":"da6b3b91349d3d8e75cedff97ff381064955aa40610da3d3d47f089a0afcf8f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da6b3b91349d3d8e75cedff97ff381064955aa40610da3d3d47f089a0afcf8f4","first_computed_at":"2026-05-18T00:35:04.227581Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:04.227581Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J8F5VGlfKBxDtlbdmyHuMidyfS48CB8TMe/gucz3OXhym8Z9SBqMh834aCt7EBXtAcvkBL3YMGjhu9xmd2c4Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:04.228261Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.05258","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2c07f89b7743305de920e98987341f2d97b91ddffae756bd4e220efd2616a6d","sha256:f5121ba6f7f3371e1c4a60d969c8c91165bb49ce3e195e76c24fec04ce6d688f"],"state_sha256":"98bd75452a67af48fb76c565e3644188d0b6d8aa78f574baa88c230700da2546"}