{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:FCRN4G7BGCJGPYWXEGGN6ZJT2C","short_pith_number":"pith:FCRN4G7B","schema_version":"1.0","canonical_sha256":"28a2de1be1309267e2d7218cdf6533d0aa6878aa3dfdcdd91ac57f68efa3058d","source":{"kind":"arxiv","id":"1902.08719","version":1},"attestation_state":"computed","paper":{"title":"Leavitt path algebras of hypergraphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Raimund Preusser","submitted_at":"2019-02-23T02:34:23Z","abstract_excerpt":"We define Leavitt path algebras of hypergraphs generalizing simultaneously Leavitt path algebras of finitely separated graphs and Leavitt path algebras of row-finite vertex-weighted graphs. We find linear bases for those algebras, compute their Gelfand-Kirillov dimension, obtain some results on ring-theoretic properties like simplicity, von Neumann regularity and Noetherianess and investigate their K-theory and graded K-theory. By doing so we obtain new results on the Gelfand-Kirillov dimension and graded K-theory of Leavitt path algebras of separated graphs and on the graded K-theory of weigh"},"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":"1902.08719","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2019-02-23T02:34:23Z","cross_cats_sorted":[],"title_canon_sha256":"2e3205d5cb0a2c7bbfa37e1b0724a4a4bcbcf2bdd5ceb1a20587f5108aa9ad99","abstract_canon_sha256":"638128b701de60947f925d4e59d258a83d8b14c1918204fbdf703a5f33556e81"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:50.192847Z","signature_b64":"174ZuXqJAlT8gP4P56Z8uGmjv92uEQqZATjSaSN+lU16TtDCk8IlEO2ZpdQFy7gc4ARO+keEIKAijniBtr6bBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28a2de1be1309267e2d7218cdf6533d0aa6878aa3dfdcdd91ac57f68efa3058d","last_reissued_at":"2026-05-17T23:52:50.192034Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:50.192034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Leavitt path algebras of hypergraphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Raimund Preusser","submitted_at":"2019-02-23T02:34:23Z","abstract_excerpt":"We define Leavitt path algebras of hypergraphs generalizing simultaneously Leavitt path algebras of finitely separated graphs and Leavitt path algebras of row-finite vertex-weighted graphs. We find linear bases for those algebras, compute their Gelfand-Kirillov dimension, obtain some results on ring-theoretic properties like simplicity, von Neumann regularity and Noetherianess and investigate their K-theory and graded K-theory. By doing so we obtain new results on the Gelfand-Kirillov dimension and graded K-theory of Leavitt path algebras of separated graphs and on the graded K-theory of weigh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.08719","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":"1902.08719","created_at":"2026-05-17T23:52:50.192161+00:00"},{"alias_kind":"arxiv_version","alias_value":"1902.08719v1","created_at":"2026-05-17T23:52:50.192161+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.08719","created_at":"2026-05-17T23:52:50.192161+00:00"},{"alias_kind":"pith_short_12","alias_value":"FCRN4G7BGCJG","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_16","alias_value":"FCRN4G7BGCJGPYWX","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_8","alias_value":"FCRN4G7B","created_at":"2026-05-18T12:33:15.570797+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/FCRN4G7BGCJGPYWXEGGN6ZJT2C","json":"https://pith.science/pith/FCRN4G7BGCJGPYWXEGGN6ZJT2C.json","graph_json":"https://pith.science/api/pith-number/FCRN4G7BGCJGPYWXEGGN6ZJT2C/graph.json","events_json":"https://pith.science/api/pith-number/FCRN4G7BGCJGPYWXEGGN6ZJT2C/events.json","paper":"https://pith.science/paper/FCRN4G7B"},"agent_actions":{"view_html":"https://pith.science/pith/FCRN4G7BGCJGPYWXEGGN6ZJT2C","download_json":"https://pith.science/pith/FCRN4G7BGCJGPYWXEGGN6ZJT2C.json","view_paper":"https://pith.science/paper/FCRN4G7B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1902.08719&json=true","fetch_graph":"https://pith.science/api/pith-number/FCRN4G7BGCJGPYWXEGGN6ZJT2C/graph.json","fetch_events":"https://pith.science/api/pith-number/FCRN4G7BGCJGPYWXEGGN6ZJT2C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FCRN4G7BGCJGPYWXEGGN6ZJT2C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FCRN4G7BGCJGPYWXEGGN6ZJT2C/action/storage_attestation","attest_author":"https://pith.science/pith/FCRN4G7BGCJGPYWXEGGN6ZJT2C/action/author_attestation","sign_citation":"https://pith.science/pith/FCRN4G7BGCJGPYWXEGGN6ZJT2C/action/citation_signature","submit_replication":"https://pith.science/pith/FCRN4G7BGCJGPYWXEGGN6ZJT2C/action/replication_record"}},"created_at":"2026-05-17T23:52:50.192161+00:00","updated_at":"2026-05-17T23:52:50.192161+00:00"}