{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PQ6L4CUBLOBUJ6SRVTPD4UPEM2","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":"5e11ed618f459a6502a63b41a20f7fc8bb3433c38664995b92b622f70d0d60fa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-02-25T05:13:20Z","title_canon_sha256":"3e23a37f77d8d5f43f9a71d4973ed600c958f8d5267d13da840188b0b60498fc"},"schema_version":"1.0","source":{"id":"1502.07052","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.07052","created_at":"2026-05-18T02:26:12Z"},{"alias_kind":"arxiv_version","alias_value":"1502.07052v1","created_at":"2026-05-18T02:26:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.07052","created_at":"2026-05-18T02:26:12Z"},{"alias_kind":"pith_short_12","alias_value":"PQ6L4CUBLOBU","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PQ6L4CUBLOBUJ6SR","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PQ6L4CUB","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:9d9fa0bed8dd1ef8a5a6b8835ea0e7f5288eba18f71bca190c0ec4b2248ae700","target":"graph","created_at":"2026-05-18T02:26:12Z","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":"In this note, we consider a 'thrifty' version of Kaluzhnin - Krasner's embedding in wreath products and apply it to extensions by finite groups and to metabelian groups.","authors_text":"A.Yu. Olshanskii","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-02-25T05:13:20Z","title":"On Kaluzhnin - Krasner's embedding of groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.07052","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:f31187fa9589fc1cf4536bf009afad0da09ffb8f6eb71ffaf9cfb5c144e8ce47","target":"record","created_at":"2026-05-18T02:26:12Z","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":"5e11ed618f459a6502a63b41a20f7fc8bb3433c38664995b92b622f70d0d60fa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-02-25T05:13:20Z","title_canon_sha256":"3e23a37f77d8d5f43f9a71d4973ed600c958f8d5267d13da840188b0b60498fc"},"schema_version":"1.0","source":{"id":"1502.07052","kind":"arxiv","version":1}},"canonical_sha256":"7c3cbe0a815b8344fa51acde3e51e466808a1b143e4734fb416c47570cc4fcd5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c3cbe0a815b8344fa51acde3e51e466808a1b143e4734fb416c47570cc4fcd5","first_computed_at":"2026-05-18T02:26:12.008574Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:12.008574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c2Um3IdEXX5HoJHnsZfSSHN9tQJg7ebN09KiJxjzteZhBjpK6Jcg7osCtPk3juUydFfCPx0I23xd74XtGwvPDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:12.009214Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.07052","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f31187fa9589fc1cf4536bf009afad0da09ffb8f6eb71ffaf9cfb5c144e8ce47","sha256:9d9fa0bed8dd1ef8a5a6b8835ea0e7f5288eba18f71bca190c0ec4b2248ae700"],"state_sha256":"8573f74cd751994323494dbe0e8f82cd17c75444724ff51d039a3a3b60a44a85"}