{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:GJJIIN473ICPDIVZELZ4A5BO7R","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":"3b524ccef2a13ee75a54576ae82f58765383a4023e9b3daef9f0547b935a14e6","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-02-18T18:14:36Z","title_canon_sha256":"a8d63bf4678a8fa332235c9a287ba52e361cb4d69f3dfda3d062b6573da73b65"},"schema_version":"1.0","source":{"id":"1502.05327","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.05327","created_at":"2026-05-18T01:16:54Z"},{"alias_kind":"arxiv_version","alias_value":"1502.05327v3","created_at":"2026-05-18T01:16:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05327","created_at":"2026-05-18T01:16:54Z"},{"alias_kind":"pith_short_12","alias_value":"GJJIIN473ICP","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GJJIIN473ICPDIVZ","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GJJIIN47","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:d3f8be5d84812148846accb12bf444fdaa8299014638e2d73dfc4ec0dc4d4404","target":"graph","created_at":"2026-05-18T01:16:54Z","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 define the concept of weak pseudotwistor for an algebra $(A, \\mu)$ in a monoidal category $\\mathcal{C}$, as a morphism $T:A\\otimes A\\rightarrow A\\otimes A$ in $\\mathcal{C}$, satisfying some axioms ensuring that $(A, \\mu \\circ T)$ is also an algebra in $\\mathcal{C}$. This concept generalizes the previous proposal called pseudotwistor and covers a number of exemples of twisted algebras that cannot be covered by pseudotwistors, mainly examples provided by Rota-Baxter operators and some of their relatives (such as Leroux's TD-operators and Reynolds operators). By using weak pseudotwistors, we i","authors_text":"Florin Panaite, Freddy Van Oystaeyen","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-02-18T18:14:36Z","title":"Twisted algebras and Rota-Baxter type operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05327","kind":"arxiv","version":3},"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":"sha256:4d1bb274d974aa478fba718b94cc74a94e7d9b34977b0bcc0e8873a76ee47031","target":"record","created_at":"2026-05-18T01:16:54Z","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":"3b524ccef2a13ee75a54576ae82f58765383a4023e9b3daef9f0547b935a14e6","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-02-18T18:14:36Z","title_canon_sha256":"a8d63bf4678a8fa332235c9a287ba52e361cb4d69f3dfda3d062b6573da73b65"},"schema_version":"1.0","source":{"id":"1502.05327","kind":"arxiv","version":3}},"canonical_sha256":"325284379fda04f1a2b922f3c0742efc7cc7d6821c567654d586970cc711d7f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"325284379fda04f1a2b922f3c0742efc7cc7d6821c567654d586970cc711d7f1","first_computed_at":"2026-05-18T01:16:54.779915Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:54.779915Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V1yCtkCvUmHEYocNkUQDMwtNrEUWMh8q+09CC7DuNqS4lMTfQPF6vCCJzI1DqpSuIk7BgcBdUKUyf9KegmA4Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:54.780726Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.05327","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d1bb274d974aa478fba718b94cc74a94e7d9b34977b0bcc0e8873a76ee47031","sha256:d3f8be5d84812148846accb12bf444fdaa8299014638e2d73dfc4ec0dc4d4404"],"state_sha256":"798770318d91724c3bf83162bd561051dde56a125605158305e101ed1e73e9d6"}