{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:MJKAWTS2BB4T7HOLLEBUPOOYZW","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":"1958438a798b1e74317c7a25b50a47ec95594509ed52281dbf9699fd333cef99","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-01-14T21:57:31Z","title_canon_sha256":"8f62a95ea88b07cdba2ce48f0a4cdb125e039c163b5c11f0c5cd8dd2980ab9d2"},"schema_version":"1.0","source":{"id":"1301.3167","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.3167","created_at":"2026-05-18T02:54:47Z"},{"alias_kind":"arxiv_version","alias_value":"1301.3167v1","created_at":"2026-05-18T02:54:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.3167","created_at":"2026-05-18T02:54:47Z"},{"alias_kind":"pith_short_12","alias_value":"MJKAWTS2BB4T","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MJKAWTS2BB4T7HOL","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MJKAWTS2","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:2bf6bf7fb102e5222fbd51e2ebc9f261f8d005e29306e8f91a10fcc6d0d5ace6","target":"graph","created_at":"2026-05-18T02:54:47Z","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 prove that the tensor algebra of a C*-correspondence $X$ is Dirichlet if and only if $X$ is a Hilbert bimodule. As a consequence, we point out and fix an error appearing in the proof of a famous result of Duncan. Secondly we answer a question raised by Davidson and Katsoulis concerning tensor algebras and semi-Dirichlet algebras, by giving an example of a Dirichlet algebra that cannot be described as the tensor algebra of any C*-correspondence. Furthermore we show that the adding tail technique, as extended by the author and Katsoulis, applies in a unique way to preserve the class of Hilber","authors_text":"Evgenios T. A. Kakariadis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-01-14T21:57:31Z","title":"The Dirichlet Property for Tensor Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.3167","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":"sha256:3a7cfcac8f816ce543a2909473c7bd6523d6bb443efbef7c352b1b371511b016","target":"record","created_at":"2026-05-18T02:54:47Z","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":"1958438a798b1e74317c7a25b50a47ec95594509ed52281dbf9699fd333cef99","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-01-14T21:57:31Z","title_canon_sha256":"8f62a95ea88b07cdba2ce48f0a4cdb125e039c163b5c11f0c5cd8dd2980ab9d2"},"schema_version":"1.0","source":{"id":"1301.3167","kind":"arxiv","version":1}},"canonical_sha256":"62540b4e5a08793f9dcb590347b9d8cd8029bf336eaee8bab3b7b378c083319b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"62540b4e5a08793f9dcb590347b9d8cd8029bf336eaee8bab3b7b378c083319b","first_computed_at":"2026-05-18T02:54:47.151600Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:47.151600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aFC+iNg20zCQM8TFPHClm9nsIJvyIXnddB1sokOHiEkJg6Sy1Yj6rLIulv3LGdRmV2W6Ysw9SaMnE/g1iJnMCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:47.152011Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.3167","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a7cfcac8f816ce543a2909473c7bd6523d6bb443efbef7c352b1b371511b016","sha256:2bf6bf7fb102e5222fbd51e2ebc9f261f8d005e29306e8f91a10fcc6d0d5ace6"],"state_sha256":"3d4a827f3a6a6c70281b399ad73ecca94b774116b22d7a375277edf12049139c"}