{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:DUAQ3SUEMJ4AJLAT3KVEKXGQIA","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":"7fafeec04720ddff3cef614f980035e9d6ef59b9ddfbe519dd24eb47adb98fb9","cross_cats_sorted":["math.RA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GR","submitted_at":"2025-01-08T15:30:41Z","title_canon_sha256":"7eb2d36f5b7896eaec61869a8e0fe1a70f623644208d1c14f222484047df8f69"},"schema_version":"1.0","source":{"id":"2501.04567","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.04567","created_at":"2026-07-05T09:58:37Z"},{"alias_kind":"arxiv_version","alias_value":"2501.04567v1","created_at":"2026-07-05T09:58:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.04567","created_at":"2026-07-05T09:58:37Z"},{"alias_kind":"pith_short_12","alias_value":"DUAQ3SUEMJ4A","created_at":"2026-07-05T09:58:37Z"},{"alias_kind":"pith_short_16","alias_value":"DUAQ3SUEMJ4AJLAT","created_at":"2026-07-05T09:58:37Z"},{"alias_kind":"pith_short_8","alias_value":"DUAQ3SUE","created_at":"2026-07-05T09:58:37Z"}],"graph_snapshots":[{"event_id":"sha256:3390704c4a77a0ddd0ec8c149a2f7a278b6d718068895831efe03ed051efa409","target":"graph","created_at":"2026-07-05T09:58:37Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2501.04567/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This article provides a detailed description of some nilpotent left braces generated by one element.","authors_text":"Igor Ya. Subbotin, Leonid A. Kurdachenko, Martyn R. Dixon","cross_cats":["math.RA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GR","submitted_at":"2025-01-08T15:30:41Z","title":"On the structure of some one-generator nilpotent braces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.04567","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":"sha256:6b40a2ec2ae03ea09a2561378d9894b5048a1b015df4691df8c82136acc6cd4b","target":"record","created_at":"2026-07-05T09:58:37Z","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":"7fafeec04720ddff3cef614f980035e9d6ef59b9ddfbe519dd24eb47adb98fb9","cross_cats_sorted":["math.RA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GR","submitted_at":"2025-01-08T15:30:41Z","title_canon_sha256":"7eb2d36f5b7896eaec61869a8e0fe1a70f623644208d1c14f222484047df8f69"},"schema_version":"1.0","source":{"id":"2501.04567","kind":"arxiv","version":1}},"canonical_sha256":"1d010dca84627804ac13daaa455cd04027e075b606819e4889c56c8c98cea7fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d010dca84627804ac13daaa455cd04027e075b606819e4889c56c8c98cea7fd","first_computed_at":"2026-07-05T09:58:37.405363Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:58:37.405363Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6Myck2Rcj0Nq9xJ1Wzj3s7pmzUEYvULo5zBHwfCZCJQOi2aYzSfyzl6FstAN95TrOf1RyDQKkV3ClFjVyO3bDA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:58:37.405775Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.04567","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6b40a2ec2ae03ea09a2561378d9894b5048a1b015df4691df8c82136acc6cd4b","sha256:3390704c4a77a0ddd0ec8c149a2f7a278b6d718068895831efe03ed051efa409"],"state_sha256":"36715eb094b1f808c07101f6309dbce94091db08454e99919bffadbf5ca33bc6"}