{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:PIWVKIIN7BNLODANIDLN6VTZDE","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":"23a5e99b2c98b9f94febf5f965e30f8c1e15a4b66475332a0e303c1957dd054c","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-06-23T07:15:02Z","title_canon_sha256":"6783b9a5ff639cfbb87a4047697b276372dd732f27f3f4da7d06f6ed0e95f34c"},"schema_version":"1.0","source":{"id":"1306.5382","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5382","created_at":"2026-05-17T23:53:35Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5382v1","created_at":"2026-05-17T23:53:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5382","created_at":"2026-05-17T23:53:35Z"},{"alias_kind":"pith_short_12","alias_value":"PIWVKIIN7BNL","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"PIWVKIIN7BNLODAN","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"PIWVKIIN","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:d78a2473387ed0795f4d3c7da61346b8db8dc25df262351cbcdfccb22c37a2d2","target":"graph","created_at":"2026-05-17T23:53:35Z","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":"We construct a minimal generating set of the level 2 mapping class group of a nonorientable surface of genus $g$, and determine its abelianization for $g\\ge4$.","authors_text":"Masatoshi Sato, Susumu Hirose","cross_cats":["math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-06-23T07:15:02Z","title":"A minimal generating set of the level 2 mapping class group of a non-orientable surface"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5382","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:e23c65c3cd8367bc36fe0787042f1d6971f1c7cd76cdfe5ed5e147c381df4d85","target":"record","created_at":"2026-05-17T23:53:35Z","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":"23a5e99b2c98b9f94febf5f965e30f8c1e15a4b66475332a0e303c1957dd054c","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-06-23T07:15:02Z","title_canon_sha256":"6783b9a5ff639cfbb87a4047697b276372dd732f27f3f4da7d06f6ed0e95f34c"},"schema_version":"1.0","source":{"id":"1306.5382","kind":"arxiv","version":1}},"canonical_sha256":"7a2d55210df85ab70c0d40d6df5679193eff216a5ab92cd5f4a2027a82ec41ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a2d55210df85ab70c0d40d6df5679193eff216a5ab92cd5f4a2027a82ec41ae","first_computed_at":"2026-05-17T23:53:35.544954Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:35.544954Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H+pojSszeY8rREcrqd8+jYhTtubDBFdyygb5SfiUAqnVaT8RzQwCe/Z+eCOswjx2aKSP3v8UMxU9EI07B4W9Bg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:35.545581Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.5382","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e23c65c3cd8367bc36fe0787042f1d6971f1c7cd76cdfe5ed5e147c381df4d85","sha256:d78a2473387ed0795f4d3c7da61346b8db8dc25df262351cbcdfccb22c37a2d2"],"state_sha256":"d1b2702f6aa80e2941bd5cf5e5b553a23d39cb55dd7608ae3639af3a769349a0"}