{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:PK4YBJHVAHGBEQDZPWNPZWFRGL","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":"1a1212753f8b377d0f0b617c96dddf231c91aa97bbdbc7e9165de6eea5d42187","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-01-27T15:52:24Z","title_canon_sha256":"1b9f32fcd8bab7f6c16fd614a76e57075a346144ad995071f94de98f243d55ec"},"schema_version":"1.0","source":{"id":"1801.09105","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.09105","created_at":"2026-05-18T00:22:44Z"},{"alias_kind":"arxiv_version","alias_value":"1801.09105v2","created_at":"2026-05-18T00:22:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.09105","created_at":"2026-05-18T00:22:44Z"},{"alias_kind":"pith_short_12","alias_value":"PK4YBJHVAHGB","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"PK4YBJHVAHGBEQDZ","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"PK4YBJHV","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:de355082347f6030cdc84daf22dafd7a8b89a89395298e7dd5c41506dd102c98","target":"graph","created_at":"2026-05-18T00:22:44Z","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 give an overview of publications on partial actions and related concepts, paying main attention to some recent developments.","authors_text":"Mikhailo Dokuchaev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-01-27T15:52:24Z","title":"Recent developments around partial actions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.09105","kind":"arxiv","version":2},"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":"sha256:110af38e24cd325f206e40faa11ab9e6907b854b3e20c6abb3065cdca31bac93","target":"record","created_at":"2026-05-18T00:22:44Z","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":"1a1212753f8b377d0f0b617c96dddf231c91aa97bbdbc7e9165de6eea5d42187","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-01-27T15:52:24Z","title_canon_sha256":"1b9f32fcd8bab7f6c16fd614a76e57075a346144ad995071f94de98f243d55ec"},"schema_version":"1.0","source":{"id":"1801.09105","kind":"arxiv","version":2}},"canonical_sha256":"7ab980a4f501cc1240797d9afcd8b132c8c0a5f8572681f13c9d2dab96ee481e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ab980a4f501cc1240797d9afcd8b132c8c0a5f8572681f13c9d2dab96ee481e","first_computed_at":"2026-05-18T00:22:44.208175Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:44.208175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AJ4+qA7EBQI4nYYz/prKEr+/rPtjyABmXATwSuIZ2MdOdHWWRHRwOrEQSmqpPcEzt27bI9S47F4IdZFB6PbVAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:44.208610Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.09105","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:110af38e24cd325f206e40faa11ab9e6907b854b3e20c6abb3065cdca31bac93","sha256:de355082347f6030cdc84daf22dafd7a8b89a89395298e7dd5c41506dd102c98"],"state_sha256":"0ad94cd1ae6319b6def2993ef35fdac686239fa12362da1966ecf2ec52478160"}