{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:SI6DGK7AVZLDEXBV52Z7JEW35G","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":"ad38f5963bc13bb788ece3afd005f55f566bfb448abdc74028b1d60ae182a16a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-12-03T21:12:39Z","title_canon_sha256":"2c7a0020a78b454a98a421a5c976f7cda30b59b51471cfe66f262952aa04a557"},"schema_version":"1.0","source":{"id":"1512.01247","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.01247","created_at":"2026-05-18T00:19:59Z"},{"alias_kind":"arxiv_version","alias_value":"1512.01247v2","created_at":"2026-05-18T00:19:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.01247","created_at":"2026-05-18T00:19:59Z"},{"alias_kind":"pith_short_12","alias_value":"SI6DGK7AVZLD","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"SI6DGK7AVZLDEXBV","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"SI6DGK7A","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:8a2f2b0d8abdb1638ccd7a54c6101497d7fa193cc1e340d9f04f8160b60d9c95","target":"graph","created_at":"2026-05-18T00:19:59Z","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":"Using the language of operated algebras, we construct and investigate a class of operator rings and enriched modules induced by a derivation or Rota-Baxter operator. In applying the general framework to univariate polynomials, one is led to the integro-differential analogs of the classical Weyl algebra. These are analyzed in terms of skew polynomial rings and noncommutative Groebner bases.","authors_text":"Li Guo, Markus Rosenkranz, Xing Gao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-12-03T21:12:39Z","title":"On Rings of Differential Rota-Baxter Operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.01247","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":"sha256:73f49c3bd27f9747c841912fa0e62a8263927a1ca2991bfa4a356afc8da4c3d9","target":"record","created_at":"2026-05-18T00:19:59Z","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":"ad38f5963bc13bb788ece3afd005f55f566bfb448abdc74028b1d60ae182a16a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-12-03T21:12:39Z","title_canon_sha256":"2c7a0020a78b454a98a421a5c976f7cda30b59b51471cfe66f262952aa04a557"},"schema_version":"1.0","source":{"id":"1512.01247","kind":"arxiv","version":2}},"canonical_sha256":"923c332be0ae56325c35eeb3f492dbe9bc821b20472e76741b2c92f0d3a33c3b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"923c332be0ae56325c35eeb3f492dbe9bc821b20472e76741b2c92f0d3a33c3b","first_computed_at":"2026-05-18T00:19:59.579899Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:59.579899Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NDvFu/P7rIrvz4OV5MlDS5B4PUs/pAH3gPeRVl6j3104M2+EQPVVECNFrPEe+/DS8xmvQKsAfvn1a6saMmNVBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:59.580553Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.01247","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:73f49c3bd27f9747c841912fa0e62a8263927a1ca2991bfa4a356afc8da4c3d9","sha256:8a2f2b0d8abdb1638ccd7a54c6101497d7fa193cc1e340d9f04f8160b60d9c95"],"state_sha256":"0e2077e7f8b9864b14fa046363eb0222e56f911a3577a4556efae3d36a2f254f"}