{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:2THFXIJLA7T4KAHMYQZ3ACQR5Y","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":"131501c95ee3defcebe3d39454e5415e91861122ccc387b76e97a9f790e51ee9","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-10-02T16:38:17Z","title_canon_sha256":"6576dcea11b7890e5479c5a164fea37d983df53cb753a529d414ed18478c115b"},"schema_version":"1.0","source":{"id":"1110.0203","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.0203","created_at":"2026-05-18T04:11:50Z"},{"alias_kind":"arxiv_version","alias_value":"1110.0203v1","created_at":"2026-05-18T04:11:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.0203","created_at":"2026-05-18T04:11:50Z"},{"alias_kind":"pith_short_12","alias_value":"2THFXIJLA7T4","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"2THFXIJLA7T4KAHM","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"2THFXIJL","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:5f7444207f06d82061fc486e382331c2058812b661074dc4e9e0a7b6b2c54514","target":"graph","created_at":"2026-05-18T04:11:50Z","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":"The special linear groups, the mapping class groups of surfaces, the outer autormorphism groups of free groups appear in numerous domains. Their analogies, developped in particular in K. Vogtmann's work, have been written about a lot. In this report, we concentrate on the contractible spaces on which these groups act in an analogous way, on the common properties of their subgroups, and on the similar (or conjecturally similar) properties of their asymptotic geometry.","authors_text":"Fr\\'ed\\'eric Paulin (LM-Orsay)","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-10-02T16:38:17Z","title":"Sur les Automorphismes de Groupes Libres et de Groupes de Surface"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.0203","kind":"arxiv","version":1},"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:d2587a776cc90c8295effd7879e647a22032bd6470ede9d54181822925f924b5","target":"record","created_at":"2026-05-18T04:11:50Z","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":"131501c95ee3defcebe3d39454e5415e91861122ccc387b76e97a9f790e51ee9","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-10-02T16:38:17Z","title_canon_sha256":"6576dcea11b7890e5479c5a164fea37d983df53cb753a529d414ed18478c115b"},"schema_version":"1.0","source":{"id":"1110.0203","kind":"arxiv","version":1}},"canonical_sha256":"d4ce5ba12b07e7c500ecc433b00a11ee3c53682997023422c31e945e54c8bdcf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4ce5ba12b07e7c500ecc433b00a11ee3c53682997023422c31e945e54c8bdcf","first_computed_at":"2026-05-18T04:11:50.577181Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:11:50.577181Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nY8M/hiczpOsexzlpgFkSblH+HnaYurqms5rAecQcKCcfc5/wlYGIRF2mSdHQS1NDBdBjOWNeM1rADVMVQIDAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:11:50.577679Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.0203","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2587a776cc90c8295effd7879e647a22032bd6470ede9d54181822925f924b5","sha256:5f7444207f06d82061fc486e382331c2058812b661074dc4e9e0a7b6b2c54514"],"state_sha256":"3cf1242b8ce17b4bc16b15fee0a3a7c0edeb2a927acb5e0258184601d0daf9fb"}