{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:KD6SGAGKZR73346UMJAGRGUSD7","short_pith_number":"pith:KD6SGAGK","schema_version":"1.0","canonical_sha256":"50fd2300cacc7fbdf3d46240689a921fd3d7122f1a77c69c2e87266c7e4bb0c7","source":{"kind":"arxiv","id":"1109.6803","version":2},"attestation_state":"computed","paper":{"title":"Contracting rigid germs in higher dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Matteo Ruggiero","submitted_at":"2011-09-30T12:10:34Z","abstract_excerpt":"Following Favre, we define a holomorphic germ f:(C^d,0) -> (C^d,0) to be rigid if the union of the critical set of all iterates has simple normal crossing singularities. We give a partial classification of contracting rigid germs in arbitrary dimensions up to holomorphic conjugacy. Interestingly enough, we find new resonance phenomena involving the differential of f and its linear action on the fundamental group of the complement of the critical set."},"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":"1109.6803","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-09-30T12:10:34Z","cross_cats_sorted":[],"title_canon_sha256":"9da2ae804c56629b47ea281d93bfc901424b8b107947ea20f9671dc3ab105f7b","abstract_canon_sha256":"da5f7d38594d3aa9a8d0d005f82105aa0d862c1a38ca9400452626eaee473b11"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:56.773427Z","signature_b64":"h7oLxGI+HxtHTLIo/i5QIta+i4x6sP0zZV8VIFBIzMuPBETeztVGry3ZxMR4iHaBJN3FJopugZxTSl5xmZ1wBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"50fd2300cacc7fbdf3d46240689a921fd3d7122f1a77c69c2e87266c7e4bb0c7","last_reissued_at":"2026-05-18T03:36:56.773029Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:56.773029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Contracting rigid germs in higher dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Matteo Ruggiero","submitted_at":"2011-09-30T12:10:34Z","abstract_excerpt":"Following Favre, we define a holomorphic germ f:(C^d,0) -> (C^d,0) to be rigid if the union of the critical set of all iterates has simple normal crossing singularities. We give a partial classification of contracting rigid germs in arbitrary dimensions up to holomorphic conjugacy. Interestingly enough, we find new resonance phenomena involving the differential of f and its linear action on the fundamental group of the complement of the critical set."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6803","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":"1109.6803","created_at":"2026-05-18T03:36:56.773093+00:00"},{"alias_kind":"arxiv_version","alias_value":"1109.6803v2","created_at":"2026-05-18T03:36:56.773093+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6803","created_at":"2026-05-18T03:36:56.773093+00:00"},{"alias_kind":"pith_short_12","alias_value":"KD6SGAGKZR73","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_16","alias_value":"KD6SGAGKZR73346U","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_8","alias_value":"KD6SGAGK","created_at":"2026-05-18T12:26:32.869790+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/KD6SGAGKZR73346UMJAGRGUSD7","json":"https://pith.science/pith/KD6SGAGKZR73346UMJAGRGUSD7.json","graph_json":"https://pith.science/api/pith-number/KD6SGAGKZR73346UMJAGRGUSD7/graph.json","events_json":"https://pith.science/api/pith-number/KD6SGAGKZR73346UMJAGRGUSD7/events.json","paper":"https://pith.science/paper/KD6SGAGK"},"agent_actions":{"view_html":"https://pith.science/pith/KD6SGAGKZR73346UMJAGRGUSD7","download_json":"https://pith.science/pith/KD6SGAGKZR73346UMJAGRGUSD7.json","view_paper":"https://pith.science/paper/KD6SGAGK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1109.6803&json=true","fetch_graph":"https://pith.science/api/pith-number/KD6SGAGKZR73346UMJAGRGUSD7/graph.json","fetch_events":"https://pith.science/api/pith-number/KD6SGAGKZR73346UMJAGRGUSD7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KD6SGAGKZR73346UMJAGRGUSD7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KD6SGAGKZR73346UMJAGRGUSD7/action/storage_attestation","attest_author":"https://pith.science/pith/KD6SGAGKZR73346UMJAGRGUSD7/action/author_attestation","sign_citation":"https://pith.science/pith/KD6SGAGKZR73346UMJAGRGUSD7/action/citation_signature","submit_replication":"https://pith.science/pith/KD6SGAGKZR73346UMJAGRGUSD7/action/replication_record"}},"created_at":"2026-05-18T03:36:56.773093+00:00","updated_at":"2026-05-18T03:36:56.773093+00:00"}