{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:534PUVKLLVP4UXMC3KSI24CDKQ","short_pith_number":"pith:534PUVKL","schema_version":"1.0","canonical_sha256":"eef8fa554b5d5fca5d82daa48d70435418b3295c0911bfc1989dda72520c2eb5","source":{"kind":"arxiv","id":"1410.2318","version":1},"attestation_state":"computed","paper":{"title":"Representations of Cuntz-Krieger relations, dynamics on Bratteli diagrams, and path-space measures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA","math.OA"],"primary_cat":"math.DS","authors_text":"Palle E.T. Jorgensen, Sergey Bezuglyi","submitted_at":"2014-10-09T00:14:42Z","abstract_excerpt":"We study a new class of representations of the Cuntz-Krieger algebras $\\mathcal O_A$ constructed by semibranching function systems, naturally related to stationary Bratteli diagrams. The notion of isomorphic semibranching function systems is defined and studied. We show that any isomorphism of such systems implies the equivalence of the corresponding representations of Cuntz-Krieger algebra $\\mathcal O_A$. In particular, we show that equivalent measures generate equivalent representations of $\\mathcal O_A$. We use Markov measures which are defined on the path space of stationary Bratteli diagr"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1410.2318","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-10-09T00:14:42Z","cross_cats_sorted":["math.FA","math.OA"],"title_canon_sha256":"10ac367a3b0a92262b6d0b02fdd5833d060c96f13da1a188e87bcc4741a75e8a","abstract_canon_sha256":"e654734ed56a5d4a80b02ab988201970d48ec40021d4790987739e0e0184cde9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:46.702050Z","signature_b64":"Anie6RI8cyBURw7hFCfv5uM6husm7TkxOB24edha7QGS01SuybIyFcfXmNHp8RXKWVGxcHZdF/HP1/Ji5duvBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eef8fa554b5d5fca5d82daa48d70435418b3295c0911bfc1989dda72520c2eb5","last_reissued_at":"2026-05-18T02:40:46.701395Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:46.701395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Representations of Cuntz-Krieger relations, dynamics on Bratteli diagrams, and path-space measures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA","math.OA"],"primary_cat":"math.DS","authors_text":"Palle E.T. Jorgensen, Sergey Bezuglyi","submitted_at":"2014-10-09T00:14:42Z","abstract_excerpt":"We study a new class of representations of the Cuntz-Krieger algebras $\\mathcal O_A$ constructed by semibranching function systems, naturally related to stationary Bratteli diagrams. The notion of isomorphic semibranching function systems is defined and studied. We show that any isomorphism of such systems implies the equivalence of the corresponding representations of Cuntz-Krieger algebra $\\mathcal O_A$. In particular, we show that equivalent measures generate equivalent representations of $\\mathcal O_A$. We use Markov measures which are defined on the path space of stationary Bratteli diagr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.2318","kind":"arxiv","version":1},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1410.2318","created_at":"2026-05-18T02:40:46.701506+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.2318v1","created_at":"2026-05-18T02:40:46.701506+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.2318","created_at":"2026-05-18T02:40:46.701506+00:00"},{"alias_kind":"pith_short_12","alias_value":"534PUVKLLVP4","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"534PUVKLLVP4UXMC","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"534PUVKL","created_at":"2026-05-18T12:28:14.216126+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/534PUVKLLVP4UXMC3KSI24CDKQ","json":"https://pith.science/pith/534PUVKLLVP4UXMC3KSI24CDKQ.json","graph_json":"https://pith.science/api/pith-number/534PUVKLLVP4UXMC3KSI24CDKQ/graph.json","events_json":"https://pith.science/api/pith-number/534PUVKLLVP4UXMC3KSI24CDKQ/events.json","paper":"https://pith.science/paper/534PUVKL"},"agent_actions":{"view_html":"https://pith.science/pith/534PUVKLLVP4UXMC3KSI24CDKQ","download_json":"https://pith.science/pith/534PUVKLLVP4UXMC3KSI24CDKQ.json","view_paper":"https://pith.science/paper/534PUVKL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.2318&json=true","fetch_graph":"https://pith.science/api/pith-number/534PUVKLLVP4UXMC3KSI24CDKQ/graph.json","fetch_events":"https://pith.science/api/pith-number/534PUVKLLVP4UXMC3KSI24CDKQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/534PUVKLLVP4UXMC3KSI24CDKQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/534PUVKLLVP4UXMC3KSI24CDKQ/action/storage_attestation","attest_author":"https://pith.science/pith/534PUVKLLVP4UXMC3KSI24CDKQ/action/author_attestation","sign_citation":"https://pith.science/pith/534PUVKLLVP4UXMC3KSI24CDKQ/action/citation_signature","submit_replication":"https://pith.science/pith/534PUVKLLVP4UXMC3KSI24CDKQ/action/replication_record"}},"created_at":"2026-05-18T02:40:46.701506+00:00","updated_at":"2026-05-18T02:40:46.701506+00:00"}