{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:TUH4F26J477BOJEUKGELKPEOYA","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":"b4715d2ff6e346b408c0086a88490ecdaf8d84115dd9784514234656479ca2c3","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-04-03T19:56:00Z","title_canon_sha256":"f5d8757d0d08940eb235ad6d3e983afb50a9a601ad927eaee2d404be7f33d854"},"schema_version":"1.0","source":{"id":"1104.0423","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.0423","created_at":"2026-05-18T04:25:04Z"},{"alias_kind":"arxiv_version","alias_value":"1104.0423v1","created_at":"2026-05-18T04:25:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.0423","created_at":"2026-05-18T04:25:04Z"},{"alias_kind":"pith_short_12","alias_value":"TUH4F26J477B","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TUH4F26J477BOJEU","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TUH4F26J","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:4037d6f0daeac8bbad713c7efa25a8373088e045ffab7467c3a8d7a4999eddb2","target":"graph","created_at":"2026-05-18T04:25:04Z","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 contrast to its subalgebra $A_n:=K<x_1, ..., x_n, \\frac{\\der}{\\der x_1}, ...,\\frac{\\der}{\\der x_n}>$ of polynomial differential operators (i.e. the $n$'th Weyl algebra), the algebra $\\mI_n:=K<x_1, ..., x_n, \\frac{\\der}{\\der x_1}, ...,\\frac{\\der}{\\der x_n}, \\int_1, ..., \\int_n>$ of polynomial integro-differential operators is neither left nor right Noetherian algebra; moreover it contains infinite direct sums of nonzero left and right ideals. It is proved that $\\mI_n$ is a left (right) coherent algebra iff $n=1$; the algebra $\\mI_n$ is a {\\em holonomic $A_n$-bimodule} of length $3^n$ and has","authors_text":"V. V. Bavula","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-04-03T19:56:00Z","title":"The algebra of polynomial integro-differential operators is a holonomic bimodule over the subalgebra of polynomial differential operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.0423","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":"sha256:7aa66ac354bbaa7a6e100199800b0c4607458ef8cc5db053aae851888399a8ea","target":"record","created_at":"2026-05-18T04:25:04Z","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":"b4715d2ff6e346b408c0086a88490ecdaf8d84115dd9784514234656479ca2c3","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-04-03T19:56:00Z","title_canon_sha256":"f5d8757d0d08940eb235ad6d3e983afb50a9a601ad927eaee2d404be7f33d854"},"schema_version":"1.0","source":{"id":"1104.0423","kind":"arxiv","version":1}},"canonical_sha256":"9d0fc2ebc9e7fe1724945188b53c8ec0035b5a36a810aa8b0ed14a1f1ee40784","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d0fc2ebc9e7fe1724945188b53c8ec0035b5a36a810aa8b0ed14a1f1ee40784","first_computed_at":"2026-05-18T04:25:04.055168Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:25:04.055168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L2/1GHoDKmJa74lD9Rzbzv7oBAEwXleBfV9zxl9y6N7wh/2YMt30ivL7sOdf994HpQ1c2Is80vhD3d3PBuZpBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:25:04.055630Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.0423","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7aa66ac354bbaa7a6e100199800b0c4607458ef8cc5db053aae851888399a8ea","sha256:4037d6f0daeac8bbad713c7efa25a8373088e045ffab7467c3a8d7a4999eddb2"],"state_sha256":"cf6779abb79b9e974ec7fb4323acb29cf5c4631ee90927c7ef38752e14a0feff"}