{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:BGUD5LWLQA2CXR7KEX77PWVTTC","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":"dad29544b4797b817d84d52bd6af2d76929433afc6c3769d0f8c3dc6e5728d32","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-12-25T22:01:45Z","title_canon_sha256":"d9dc0f64c025ef50277380be2f088c946d920c38993c29d646f9aa8eb63d824f"},"schema_version":"1.0","source":{"id":"1512.08043","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.08043","created_at":"2026-05-18T01:23:43Z"},{"alias_kind":"arxiv_version","alias_value":"1512.08043v1","created_at":"2026-05-18T01:23:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.08043","created_at":"2026-05-18T01:23:43Z"},{"alias_kind":"pith_short_12","alias_value":"BGUD5LWLQA2C","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BGUD5LWLQA2CXR7K","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BGUD5LWL","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:10fcabe997436a8ebd48e7e2b4b312c4fdddd79e2eb690534adbc650e814f0fd","target":"graph","created_at":"2026-05-18T01:23:43Z","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 paper, we study Rota-Baxter operators and super $\\mathcal{O}$-operator of associative superalgebras, Lie superalgebras, pre-Lie superalgebras and $L$-dendriform superalgebras. Then we give some properties of pre-Lie superalgebras constructed from associative superalgebras, Lie superalgebras and $L$-dendriform superalgebras. Moreover, we provide all Rota-Baxter operators of weight zero on complex pre-Lie superalgebras of dimensions $2$ and $3$.","authors_text":"Abdenacer Makhlouf, El-Kadri Abdaoui, Sami Mabrouk","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-12-25T22:01:45Z","title":"Rota-Baxter Operators on pre-Lie superalgebras and beyond"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.08043","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":"sha256:8e2536f337def859ba6edd45988e0b893156cc6483f33b1fc1a2e2f93de49c01","target":"record","created_at":"2026-05-18T01:23:43Z","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":"dad29544b4797b817d84d52bd6af2d76929433afc6c3769d0f8c3dc6e5728d32","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-12-25T22:01:45Z","title_canon_sha256":"d9dc0f64c025ef50277380be2f088c946d920c38993c29d646f9aa8eb63d824f"},"schema_version":"1.0","source":{"id":"1512.08043","kind":"arxiv","version":1}},"canonical_sha256":"09a83eaecb80342bc7ea25fff7dab3988efdf2ca2874953ab8d9500b59b78380","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"09a83eaecb80342bc7ea25fff7dab3988efdf2ca2874953ab8d9500b59b78380","first_computed_at":"2026-05-18T01:23:43.466612Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:43.466612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ltFmN8iKXENKRGR/1PqN1BYrTfTUjj3f6EDhFcRRsLHZFyA3mifA1D97E/x5rfwmFhDu0neqmIaz1HUoiX7aCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:43.467225Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.08043","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e2536f337def859ba6edd45988e0b893156cc6483f33b1fc1a2e2f93de49c01","sha256:10fcabe997436a8ebd48e7e2b4b312c4fdddd79e2eb690534adbc650e814f0fd"],"state_sha256":"b7784179bbeb0f07be299941f71214913f32f4878c46cca74a1ad0b6b3b3b825"}