{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:MI3ACQXG754DKKXSABAXCJETOD","short_pith_number":"pith:MI3ACQXG","schema_version":"1.0","canonical_sha256":"62360142e6ff78352af2004171249370ffe9b6b9c54a31a9debf23bf33e5a91a","source":{"kind":"arxiv","id":"1406.7489","version":3},"attestation_state":"computed","paper":{"title":"Mapping class group dynamics on Aff(C)-characters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.GT","authors_text":"Selim Ghazouani","submitted_at":"2014-06-29T10:58:57Z","abstract_excerpt":"We prove that in genus bigger than $2$, the mapping class group action on $\\mathrm{Aff}(\\mathbb{C})$-characters is ergodic. This implies that almost every representation $\\pi_1 S \\longrightarrow \\mathrm{Aff}(\\mathbb{C})$ is the holonomy of a branched affine structure on $S$, where $S$ is a closed orientable surface of genus $g \\geq 2$."},"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":"1406.7489","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-06-29T10:58:57Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"66e66f02568a4de78d6b13bd47307997d5ce3c9a0b2007bb26d05d4234b6b89f","abstract_canon_sha256":"d277d2e97d70070b3184e8ef2b0b6c0275f69a4d80baae28864a8322296e5a0e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:55:43.056127Z","signature_b64":"4UTwDkXKPq2XjrsF4fS8BS7ed3SnpT/fywVSy6PJo7gA8+EsE271JsZyrVCVwPiPuZG1kNCmLTlWHfM/ZKf/DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"62360142e6ff78352af2004171249370ffe9b6b9c54a31a9debf23bf33e5a91a","last_reissued_at":"2026-05-18T01:55:43.055498Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:55:43.055498Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mapping class group dynamics on Aff(C)-characters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.GT","authors_text":"Selim Ghazouani","submitted_at":"2014-06-29T10:58:57Z","abstract_excerpt":"We prove that in genus bigger than $2$, the mapping class group action on $\\mathrm{Aff}(\\mathbb{C})$-characters is ergodic. This implies that almost every representation $\\pi_1 S \\longrightarrow \\mathrm{Aff}(\\mathbb{C})$ is the holonomy of a branched affine structure on $S$, where $S$ is a closed orientable surface of genus $g \\geq 2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.7489","kind":"arxiv","version":3},"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":"1406.7489","created_at":"2026-05-18T01:55:43.055611+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.7489v3","created_at":"2026-05-18T01:55:43.055611+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.7489","created_at":"2026-05-18T01:55:43.055611+00:00"},{"alias_kind":"pith_short_12","alias_value":"MI3ACQXG754D","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"MI3ACQXG754DKKXS","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"MI3ACQXG","created_at":"2026-05-18T12:28:38.356838+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/MI3ACQXG754DKKXSABAXCJETOD","json":"https://pith.science/pith/MI3ACQXG754DKKXSABAXCJETOD.json","graph_json":"https://pith.science/api/pith-number/MI3ACQXG754DKKXSABAXCJETOD/graph.json","events_json":"https://pith.science/api/pith-number/MI3ACQXG754DKKXSABAXCJETOD/events.json","paper":"https://pith.science/paper/MI3ACQXG"},"agent_actions":{"view_html":"https://pith.science/pith/MI3ACQXG754DKKXSABAXCJETOD","download_json":"https://pith.science/pith/MI3ACQXG754DKKXSABAXCJETOD.json","view_paper":"https://pith.science/paper/MI3ACQXG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.7489&json=true","fetch_graph":"https://pith.science/api/pith-number/MI3ACQXG754DKKXSABAXCJETOD/graph.json","fetch_events":"https://pith.science/api/pith-number/MI3ACQXG754DKKXSABAXCJETOD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MI3ACQXG754DKKXSABAXCJETOD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MI3ACQXG754DKKXSABAXCJETOD/action/storage_attestation","attest_author":"https://pith.science/pith/MI3ACQXG754DKKXSABAXCJETOD/action/author_attestation","sign_citation":"https://pith.science/pith/MI3ACQXG754DKKXSABAXCJETOD/action/citation_signature","submit_replication":"https://pith.science/pith/MI3ACQXG754DKKXSABAXCJETOD/action/replication_record"}},"created_at":"2026-05-18T01:55:43.055611+00:00","updated_at":"2026-05-18T01:55:43.055611+00:00"}