{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:NVPJX3T762T5TH3NTXH4WJ2K2Z","short_pith_number":"pith:NVPJX3T7","schema_version":"1.0","canonical_sha256":"6d5e9bee7ff6a7d99f6d9dcfcb274ad66d7de33db858744cb7ed65f3ceb05e25","source":{"kind":"arxiv","id":"math/0506401","version":3},"attestation_state":"computed","paper":{"title":"An ergodic action of the outer automorphism group of a free group","license":"","headline":"","cross_cats":["math.GR"],"primary_cat":"math.DG","authors_text":"William M. Goldman","submitted_at":"2005-06-20T14:54:17Z","abstract_excerpt":"For n>2, the action of the outer automorphism group of the rank n free group F_n on the SU(2)-character variety Hom(F_n,SU(2))/SU(2)$ is ergodic with respect to the Lebesgue measure class."},"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":"math/0506401","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2005-06-20T14:54:17Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"c149da0aab710901e043a327b65a002b0f93a90ff621ff2372c5b4ff8e15e211","abstract_canon_sha256":"5cfcd823bbd84275ce2922cdf80b0825b8a38e429fc39c932d4c1a35c8afe056"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:33.417051Z","signature_b64":"gmjoC33axytv82EgXnKvXxEEE+WcLHcM12I3SzRy7l0kTuG0N8kTEvxIQ7PtSX7tzpGA1AL/d8X9SB5RRSqsBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d5e9bee7ff6a7d99f6d9dcfcb274ad66d7de33db858744cb7ed65f3ceb05e25","last_reissued_at":"2026-05-18T04:18:33.416380Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:33.416380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An ergodic action of the outer automorphism group of a free group","license":"","headline":"","cross_cats":["math.GR"],"primary_cat":"math.DG","authors_text":"William M. Goldman","submitted_at":"2005-06-20T14:54:17Z","abstract_excerpt":"For n>2, the action of the outer automorphism group of the rank n free group F_n on the SU(2)-character variety Hom(F_n,SU(2))/SU(2)$ is ergodic with respect to the Lebesgue measure class."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0506401","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":"math/0506401","created_at":"2026-05-18T04:18:33.416453+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0506401v3","created_at":"2026-05-18T04:18:33.416453+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0506401","created_at":"2026-05-18T04:18:33.416453+00:00"},{"alias_kind":"pith_short_12","alias_value":"NVPJX3T762T5","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_16","alias_value":"NVPJX3T762T5TH3N","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_8","alias_value":"NVPJX3T7","created_at":"2026-05-18T12:25:53.335082+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/NVPJX3T762T5TH3NTXH4WJ2K2Z","json":"https://pith.science/pith/NVPJX3T762T5TH3NTXH4WJ2K2Z.json","graph_json":"https://pith.science/api/pith-number/NVPJX3T762T5TH3NTXH4WJ2K2Z/graph.json","events_json":"https://pith.science/api/pith-number/NVPJX3T762T5TH3NTXH4WJ2K2Z/events.json","paper":"https://pith.science/paper/NVPJX3T7"},"agent_actions":{"view_html":"https://pith.science/pith/NVPJX3T762T5TH3NTXH4WJ2K2Z","download_json":"https://pith.science/pith/NVPJX3T762T5TH3NTXH4WJ2K2Z.json","view_paper":"https://pith.science/paper/NVPJX3T7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0506401&json=true","fetch_graph":"https://pith.science/api/pith-number/NVPJX3T762T5TH3NTXH4WJ2K2Z/graph.json","fetch_events":"https://pith.science/api/pith-number/NVPJX3T762T5TH3NTXH4WJ2K2Z/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NVPJX3T762T5TH3NTXH4WJ2K2Z/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NVPJX3T762T5TH3NTXH4WJ2K2Z/action/storage_attestation","attest_author":"https://pith.science/pith/NVPJX3T762T5TH3NTXH4WJ2K2Z/action/author_attestation","sign_citation":"https://pith.science/pith/NVPJX3T762T5TH3NTXH4WJ2K2Z/action/citation_signature","submit_replication":"https://pith.science/pith/NVPJX3T762T5TH3NTXH4WJ2K2Z/action/replication_record"}},"created_at":"2026-05-18T04:18:33.416453+00:00","updated_at":"2026-05-18T04:18:33.416453+00:00"}