{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:65B5UWZ67XPM4RZY3N7SL67MHF","short_pith_number":"pith:65B5UWZ6","canonical_record":{"source":{"id":"1605.03543","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-05-11T18:50:36Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"fa76b686433a5bc88c16a1bba0d4eead6b7371939b54bb8f81b2f2c176b94810","abstract_canon_sha256":"4d9109a0d9b6c417fab810b3415634509b3dca724c2e4e1b91f5214e642f3d64"},"schema_version":"1.0"},"canonical_sha256":"f743da5b3efddece4738db7f25fbec397893441ad03cf0153148cfa1f87d24b5","source":{"kind":"arxiv","id":"1605.03543","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.03543","created_at":"2026-05-18T01:03:19Z"},{"alias_kind":"arxiv_version","alias_value":"1605.03543v2","created_at":"2026-05-18T01:03:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.03543","created_at":"2026-05-18T01:03:19Z"},{"alias_kind":"pith_short_12","alias_value":"65B5UWZ67XPM","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"65B5UWZ67XPM4RZY","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"65B5UWZ6","created_at":"2026-05-18T12:30:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:65B5UWZ67XPM4RZY3N7SL67MHF","target":"record","payload":{"canonical_record":{"source":{"id":"1605.03543","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-05-11T18:50:36Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"fa76b686433a5bc88c16a1bba0d4eead6b7371939b54bb8f81b2f2c176b94810","abstract_canon_sha256":"4d9109a0d9b6c417fab810b3415634509b3dca724c2e4e1b91f5214e642f3d64"},"schema_version":"1.0"},"canonical_sha256":"f743da5b3efddece4738db7f25fbec397893441ad03cf0153148cfa1f87d24b5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:19.030811Z","signature_b64":"Yp8OgHXSZPeMZgm21Lzi2lR10fB9/1nrzbvuh4C9H3YrjLw3uL38boXqZv4FNwY0BeP/CmwWIgqfY57dmJQuCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f743da5b3efddece4738db7f25fbec397893441ad03cf0153148cfa1f87d24b5","last_reissued_at":"2026-05-18T01:03:19.030393Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:19.030393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.03543","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:03:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XMMaXTGAA4M2JTm7dkNuy4pzwLRi0qMh9lU2JLXcP4qhaURg0ge8MPHB7WGoqynuFdM48d31FdHgUMtT6j8cDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:51:47.400627Z"},"content_sha256":"8c27405f2ea7aa1e7120d9a307e680d0fe96616e476fa1295808c777c834c919","schema_version":"1.0","event_id":"sha256:8c27405f2ea7aa1e7120d9a307e680d0fe96616e476fa1295808c777c834c919"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:65B5UWZ67XPM4RZY3N7SL67MHF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"C*-envelopes of tensor algebras arising from stochastic matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OA","authors_text":"Adam Dor-On, Daniel Markiewicz","submitted_at":"2016-05-11T18:50:36Z","abstract_excerpt":"In this paper we study the C*-envelope of the (non-self-adjoint) tensor algebra associated via subproduct systems to a finite irreducible stochastic matrix $P$. Firstly, we identify the boundary representations of the tensor algebra inside the Toeplitz algebra, also known as its non-commutative Choquet boundary. As an application, we provide examples of C*-envelopes that are not *-isomorphic to either the Toeplitz algebra or the Cuntz-Pimsner algebra. This characterization required a new proof for the fact that the Cuntz-Pimsner algebra associated to $P$ is isomorphic to $C(\\mathbb{T}, M_d(\\ma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.03543","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:03:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FAsm8G1mVg4b82Ue6doF5iNnrbGlISagaJIc6m/CpKTLppa9JLe9OqX1VndWN6Ph8GQAgPeHhdpb5RYn8M38AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:51:47.401228Z"},"content_sha256":"14ff6ed464d3b436ef311f744824df96080580b67aff71cc8fcca773458f54ad","schema_version":"1.0","event_id":"sha256:14ff6ed464d3b436ef311f744824df96080580b67aff71cc8fcca773458f54ad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/65B5UWZ67XPM4RZY3N7SL67MHF/bundle.json","state_url":"https://pith.science/pith/65B5UWZ67XPM4RZY3N7SL67MHF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/65B5UWZ67XPM4RZY3N7SL67MHF/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-31T20:51:47Z","links":{"resolver":"https://pith.science/pith/65B5UWZ67XPM4RZY3N7SL67MHF","bundle":"https://pith.science/pith/65B5UWZ67XPM4RZY3N7SL67MHF/bundle.json","state":"https://pith.science/pith/65B5UWZ67XPM4RZY3N7SL67MHF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/65B5UWZ67XPM4RZY3N7SL67MHF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:65B5UWZ67XPM4RZY3N7SL67MHF","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":"4d9109a0d9b6c417fab810b3415634509b3dca724c2e4e1b91f5214e642f3d64","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-05-11T18:50:36Z","title_canon_sha256":"fa76b686433a5bc88c16a1bba0d4eead6b7371939b54bb8f81b2f2c176b94810"},"schema_version":"1.0","source":{"id":"1605.03543","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.03543","created_at":"2026-05-18T01:03:19Z"},{"alias_kind":"arxiv_version","alias_value":"1605.03543v2","created_at":"2026-05-18T01:03:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.03543","created_at":"2026-05-18T01:03:19Z"},{"alias_kind":"pith_short_12","alias_value":"65B5UWZ67XPM","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"65B5UWZ67XPM4RZY","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"65B5UWZ6","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:14ff6ed464d3b436ef311f744824df96080580b67aff71cc8fcca773458f54ad","target":"graph","created_at":"2026-05-18T01:03:19Z","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 study the C*-envelope of the (non-self-adjoint) tensor algebra associated via subproduct systems to a finite irreducible stochastic matrix $P$. Firstly, we identify the boundary representations of the tensor algebra inside the Toeplitz algebra, also known as its non-commutative Choquet boundary. As an application, we provide examples of C*-envelopes that are not *-isomorphic to either the Toeplitz algebra or the Cuntz-Pimsner algebra. This characterization required a new proof for the fact that the Cuntz-Pimsner algebra associated to $P$ is isomorphic to $C(\\mathbb{T}, M_d(\\ma","authors_text":"Adam Dor-On, Daniel Markiewicz","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-05-11T18:50:36Z","title":"C*-envelopes of tensor algebras arising from stochastic matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.03543","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":"sha256:8c27405f2ea7aa1e7120d9a307e680d0fe96616e476fa1295808c777c834c919","target":"record","created_at":"2026-05-18T01:03:19Z","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":"4d9109a0d9b6c417fab810b3415634509b3dca724c2e4e1b91f5214e642f3d64","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-05-11T18:50:36Z","title_canon_sha256":"fa76b686433a5bc88c16a1bba0d4eead6b7371939b54bb8f81b2f2c176b94810"},"schema_version":"1.0","source":{"id":"1605.03543","kind":"arxiv","version":2}},"canonical_sha256":"f743da5b3efddece4738db7f25fbec397893441ad03cf0153148cfa1f87d24b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f743da5b3efddece4738db7f25fbec397893441ad03cf0153148cfa1f87d24b5","first_computed_at":"2026-05-18T01:03:19.030393Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:19.030393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Yp8OgHXSZPeMZgm21Lzi2lR10fB9/1nrzbvuh4C9H3YrjLw3uL38boXqZv4FNwY0BeP/CmwWIgqfY57dmJQuCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:19.030811Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.03543","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8c27405f2ea7aa1e7120d9a307e680d0fe96616e476fa1295808c777c834c919","sha256:14ff6ed464d3b436ef311f744824df96080580b67aff71cc8fcca773458f54ad"],"state_sha256":"a86e706b00c017d0fccad6555b75cba358131d6e806d922c80a4500b4ed8d1c8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xk/pqaeUxllGfOBilypt7defHdZIOF3jWhdtdZi9mqG7/aSgoabfbHDbVat0MQjynnhnpg0IT8VXr0ZIEd9zDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T20:51:47.404098Z","bundle_sha256":"b3ee22cbe3c10f67e4cb8b507a6e1658a7e1c8d2ed80c889152852ca68a644b0"}}