{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:G4NKT3DYVQQTR6ZC4SQEEAYUML","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":"f769aaed85261fe32176b272569dfa462d96c597aa06b876f4b53a03325fa00b","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-09-14T04:30:51Z","title_canon_sha256":"328f3725455e6e66e8ef2fdc879b8edd3395e3b01fe1eeff44216951554f2033"},"schema_version":"1.0","source":{"id":"1509.03948","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.03948","created_at":"2026-05-18T01:33:08Z"},{"alias_kind":"arxiv_version","alias_value":"1509.03948v1","created_at":"2026-05-18T01:33:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.03948","created_at":"2026-05-18T01:33:08Z"},{"alias_kind":"pith_short_12","alias_value":"G4NKT3DYVQQT","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"G4NKT3DYVQQTR6ZC","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"G4NKT3DY","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:74b562eb8cf723c85cd461881f448cf0cca78cf65179566f1f5b5a19831d6d58","target":"graph","created_at":"2026-05-18T01:33:08Z","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 introduce the concepts of Rota-Baxter operators and differential operators with weights on a multiplicative $n$-ary Hom-algebra. We then focus on Rota-Baxter multiplicative 3-ary Hom-Nambu-Lie algebras and show that they can be derived from Rota-Baxter Hom-Lie algebras, Hom-preLie algebras and Rota-Baxter commutative Hom-associative algebras. We also explore the connections between these Rota-Baxter multiplicative 3-ary Hom-Nambu-Lie algebras.","authors_text":"Bing Sun, Liangyun Chen","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-09-14T04:30:51Z","title":"Rota-Baxter multiplicative 3-ary Hom-Nambu-Lie algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.03948","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":"sha256:0c2b96b5d29154e41ac9dd6cb3245ce0e9563f4c7d4bb1a3796f3efeacaf11e6","target":"record","created_at":"2026-05-18T01:33:08Z","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":"f769aaed85261fe32176b272569dfa462d96c597aa06b876f4b53a03325fa00b","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-09-14T04:30:51Z","title_canon_sha256":"328f3725455e6e66e8ef2fdc879b8edd3395e3b01fe1eeff44216951554f2033"},"schema_version":"1.0","source":{"id":"1509.03948","kind":"arxiv","version":1}},"canonical_sha256":"371aa9ec78ac2138fb22e4a042031462c8b2c74bd95ae27f6ad82d0c6fc19d6e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"371aa9ec78ac2138fb22e4a042031462c8b2c74bd95ae27f6ad82d0c6fc19d6e","first_computed_at":"2026-05-18T01:33:08.654293Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:33:08.654293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mtX+Io9PMf5iuFWgH2MK5JOaHkLwMB/ZVRWpPQRBJxYS2FxXcvxAsXX9ABg9GXLdmk6hWCLYtUv30kg4SQrCCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:33:08.655150Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.03948","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c2b96b5d29154e41ac9dd6cb3245ce0e9563f4c7d4bb1a3796f3efeacaf11e6","sha256:74b562eb8cf723c85cd461881f448cf0cca78cf65179566f1f5b5a19831d6d58"],"state_sha256":"91e3b34360651f4ed255cea84129e0a2c02d8cdc1821cd40ff18eab056b2b618"}