{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:KF3AIGJFTNXPA2KUWLHWDK5Y7P","short_pith_number":"pith:KF3AIGJF","canonical_record":{"source":{"id":"1411.4992","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-11-18T20:07:04Z","cross_cats_sorted":[],"title_canon_sha256":"06c46db4c5ba81f54b14054722fa22a3fcfd24e7d9e948f33fcba84cb6267431","abstract_canon_sha256":"82af87d73c15b79110099a90543489b0ef0dea52f882530af2fb846e39a59a2f"},"schema_version":"1.0"},"canonical_sha256":"51760419259b6ef06954b2cf61abb8fbe0439ce5d8346722e8a92e27931067b7","source":{"kind":"arxiv","id":"1411.4992","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.4992","created_at":"2026-05-18T00:08:01Z"},{"alias_kind":"arxiv_version","alias_value":"1411.4992v3","created_at":"2026-05-18T00:08:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4992","created_at":"2026-05-18T00:08:01Z"},{"alias_kind":"pith_short_12","alias_value":"KF3AIGJFTNXP","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KF3AIGJFTNXPA2KU","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KF3AIGJF","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:KF3AIGJFTNXPA2KUWLHWDK5Y7P","target":"record","payload":{"canonical_record":{"source":{"id":"1411.4992","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-11-18T20:07:04Z","cross_cats_sorted":[],"title_canon_sha256":"06c46db4c5ba81f54b14054722fa22a3fcfd24e7d9e948f33fcba84cb6267431","abstract_canon_sha256":"82af87d73c15b79110099a90543489b0ef0dea52f882530af2fb846e39a59a2f"},"schema_version":"1.0"},"canonical_sha256":"51760419259b6ef06954b2cf61abb8fbe0439ce5d8346722e8a92e27931067b7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:01.069995Z","signature_b64":"8N9Z/5bYU7iXEUsq4WOZNL49qGexbn9k/6EQtIqlURdCNdKiWVOmdzbHZpBVO2OIhmItYkCTHVbBjHlKgG/JAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51760419259b6ef06954b2cf61abb8fbe0439ce5d8346722e8a92e27931067b7","last_reissued_at":"2026-05-18T00:08:01.069538Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:01.069538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.4992","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:08:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"52yv7JP9hZbe2x6t3Y1b6Mx2MhYfxYItSuek4S0P07vlZ6bSBJvixgNS4hW/G7GZ00z+pCDqxrjUNWNGp/3eAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T14:59:50.411731Z"},"content_sha256":"da818d731b40a1a014d832d1be73d2e232154c88853acfa348eb4130c64a087b","schema_version":"1.0","event_id":"sha256:da818d731b40a1a014d832d1be73d2e232154c88853acfa348eb4130c64a087b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:KF3AIGJFTNXPA2KUWLHWDK5Y7P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Nica-Pimsner algebras of C*-dynamical systems over $\\mathbb{Z}_+^n$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Evgenios T.A. Kakariadis","submitted_at":"2014-11-18T20:07:04Z","abstract_excerpt":"We examine Nica-Pimsner algebras associated with semigroup actions of $\\mathbb{Z}_+^n$ on a C*-algebra $A$ by $*$-endomorphisms. We give necessary and sufficient conditions on the dynamics for exactness and nuclearity of the Nica-Pimsner algebras. Furthermore we parameterize the KMS states at finite temperature by the tracial states on $A$. A parametrization is also shown for KMS states at zero temperature (resp. ground states) by the tracial states on $A$ (resp. states on $A$). Finally we give a formula for obtaining tracial states on the Nica-Pimsner algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4992","kind":"arxiv","version":3},"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":"2026-05-18T00:08:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QbTKt8OndFfjb/3J0SLiUJhVphAXDMrfaHcjJFyngd6DA8UTI2M5iOGiyEhx4uZiuUvO/EVBdjBEvuYm3PkUDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T14:59:50.412281Z"},"content_sha256":"d91be0b34b8e2a0e17b1e920458a8d7b0c29de00be59f88931248438d12a18ca","schema_version":"1.0","event_id":"sha256:d91be0b34b8e2a0e17b1e920458a8d7b0c29de00be59f88931248438d12a18ca"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KF3AIGJFTNXPA2KUWLHWDK5Y7P/bundle.json","state_url":"https://pith.science/pith/KF3AIGJFTNXPA2KUWLHWDK5Y7P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KF3AIGJFTNXPA2KUWLHWDK5Y7P/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":"2026-06-11T14:59:50Z","links":{"resolver":"https://pith.science/pith/KF3AIGJFTNXPA2KUWLHWDK5Y7P","bundle":"https://pith.science/pith/KF3AIGJFTNXPA2KUWLHWDK5Y7P/bundle.json","state":"https://pith.science/pith/KF3AIGJFTNXPA2KUWLHWDK5Y7P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KF3AIGJFTNXPA2KUWLHWDK5Y7P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KF3AIGJFTNXPA2KUWLHWDK5Y7P","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":"82af87d73c15b79110099a90543489b0ef0dea52f882530af2fb846e39a59a2f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-11-18T20:07:04Z","title_canon_sha256":"06c46db4c5ba81f54b14054722fa22a3fcfd24e7d9e948f33fcba84cb6267431"},"schema_version":"1.0","source":{"id":"1411.4992","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.4992","created_at":"2026-05-18T00:08:01Z"},{"alias_kind":"arxiv_version","alias_value":"1411.4992v3","created_at":"2026-05-18T00:08:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4992","created_at":"2026-05-18T00:08:01Z"},{"alias_kind":"pith_short_12","alias_value":"KF3AIGJFTNXP","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KF3AIGJFTNXPA2KU","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KF3AIGJF","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:d91be0b34b8e2a0e17b1e920458a8d7b0c29de00be59f88931248438d12a18ca","target":"graph","created_at":"2026-05-18T00:08:01Z","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 examine Nica-Pimsner algebras associated with semigroup actions of $\\mathbb{Z}_+^n$ on a C*-algebra $A$ by $*$-endomorphisms. We give necessary and sufficient conditions on the dynamics for exactness and nuclearity of the Nica-Pimsner algebras. Furthermore we parameterize the KMS states at finite temperature by the tracial states on $A$. A parametrization is also shown for KMS states at zero temperature (resp. ground states) by the tracial states on $A$ (resp. states on $A$). Finally we give a formula for obtaining tracial states on the Nica-Pimsner algebras.","authors_text":"Evgenios T.A. Kakariadis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-11-18T20:07:04Z","title":"On Nica-Pimsner algebras of C*-dynamical systems over $\\mathbb{Z}_+^n$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4992","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:da818d731b40a1a014d832d1be73d2e232154c88853acfa348eb4130c64a087b","target":"record","created_at":"2026-05-18T00:08:01Z","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":"82af87d73c15b79110099a90543489b0ef0dea52f882530af2fb846e39a59a2f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-11-18T20:07:04Z","title_canon_sha256":"06c46db4c5ba81f54b14054722fa22a3fcfd24e7d9e948f33fcba84cb6267431"},"schema_version":"1.0","source":{"id":"1411.4992","kind":"arxiv","version":3}},"canonical_sha256":"51760419259b6ef06954b2cf61abb8fbe0439ce5d8346722e8a92e27931067b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51760419259b6ef06954b2cf61abb8fbe0439ce5d8346722e8a92e27931067b7","first_computed_at":"2026-05-18T00:08:01.069538Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:01.069538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8N9Z/5bYU7iXEUsq4WOZNL49qGexbn9k/6EQtIqlURdCNdKiWVOmdzbHZpBVO2OIhmItYkCTHVbBjHlKgG/JAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:01.069995Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.4992","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da818d731b40a1a014d832d1be73d2e232154c88853acfa348eb4130c64a087b","sha256:d91be0b34b8e2a0e17b1e920458a8d7b0c29de00be59f88931248438d12a18ca"],"state_sha256":"be46b01e7602a705cffee03da34ec514322f2df45eb4c3777c17ea7a830577dd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2uh+jFOAXwNZV+f8DDhV44gGkpFOZXqGdfw/5w0pE0IFX17CvkgvvZ8eWQe9js9ark0m2p1cEL/9NYuXU+rqBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T14:59:50.415792Z","bundle_sha256":"f70820b215e4829e125ffa1a6da7f6c336b8cfb055bdb4b6e8d2d33b35c0da83"}}