{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:7HIYHZI3JHNIBTCAQBEGKNQEFI","short_pith_number":"pith:7HIYHZI3","schema_version":"1.0","canonical_sha256":"f9d183e51b49da80cc4080486536042a24ed35cffcb76508489fd403ee7ad234","source":{"kind":"arxiv","id":"2503.18184","version":2},"attestation_state":"computed","paper":{"title":"Leavitt Path Algebra over Kronecker Square of Quivers and Cross product algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Ashish K. Srivastava, Dolores Mart\\'in Barquero, Jehan Alarfaj","submitted_at":"2025-03-23T19:45:28Z","abstract_excerpt":"In this paper, we initiate the study of Leavitt path algebra over Kronecker square of a quiver and show the similarities and contrasts in the properties of Leavitt path algebra over a quiver and its Kronecker square. Furthermore, we discuss the connection of Leavitt path algebra over Kronecker square of a quiver with Hayashi's face algebra and the cross product algebra construction of the Leavitt path algebra over the original quiver."},"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":"2503.18184","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2025-03-23T19:45:28Z","cross_cats_sorted":[],"title_canon_sha256":"b2b2b2ea2c12c851a807eb0b94861d7e7401b523a8dea5045ea541f76852996a","abstract_canon_sha256":"8478e0b2c8747f1af1ebbdab23aa92504359ec25c6993a8eda179713be887218"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-29T01:04:34.902594Z","signature_b64":"0Ux+wPjv6722bPTS/0ZnV5/yOH7KHbmXDk0ZTKck7x1mETC9sz+FD+tf0/va8vDIE5pqT3B3O5YqyLMI97hKCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9d183e51b49da80cc4080486536042a24ed35cffcb76508489fd403ee7ad234","last_reissued_at":"2026-05-29T01:04:34.901868Z","signature_status":"signed_v1","first_computed_at":"2026-05-29T01:04:34.901868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Leavitt Path Algebra over Kronecker Square of Quivers and Cross product algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Ashish K. Srivastava, Dolores Mart\\'in Barquero, Jehan Alarfaj","submitted_at":"2025-03-23T19:45:28Z","abstract_excerpt":"In this paper, we initiate the study of Leavitt path algebra over Kronecker square of a quiver and show the similarities and contrasts in the properties of Leavitt path algebra over a quiver and its Kronecker square. Furthermore, we discuss the connection of Leavitt path algebra over Kronecker square of a quiver with Hayashi's face algebra and the cross product algebra construction of the Leavitt path algebra over the original quiver."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.18184","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2503.18184/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2503.18184","created_at":"2026-05-29T01:04:34.901942+00:00"},{"alias_kind":"arxiv_version","alias_value":"2503.18184v2","created_at":"2026-05-29T01:04:34.901942+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.18184","created_at":"2026-05-29T01:04:34.901942+00:00"},{"alias_kind":"pith_short_12","alias_value":"7HIYHZI3JHNI","created_at":"2026-05-29T01:04:34.901942+00:00"},{"alias_kind":"pith_short_16","alias_value":"7HIYHZI3JHNIBTCA","created_at":"2026-05-29T01:04:34.901942+00:00"},{"alias_kind":"pith_short_8","alias_value":"7HIYHZI3","created_at":"2026-05-29T01:04:34.901942+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/7HIYHZI3JHNIBTCAQBEGKNQEFI","json":"https://pith.science/pith/7HIYHZI3JHNIBTCAQBEGKNQEFI.json","graph_json":"https://pith.science/api/pith-number/7HIYHZI3JHNIBTCAQBEGKNQEFI/graph.json","events_json":"https://pith.science/api/pith-number/7HIYHZI3JHNIBTCAQBEGKNQEFI/events.json","paper":"https://pith.science/paper/7HIYHZI3"},"agent_actions":{"view_html":"https://pith.science/pith/7HIYHZI3JHNIBTCAQBEGKNQEFI","download_json":"https://pith.science/pith/7HIYHZI3JHNIBTCAQBEGKNQEFI.json","view_paper":"https://pith.science/paper/7HIYHZI3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2503.18184&json=true","fetch_graph":"https://pith.science/api/pith-number/7HIYHZI3JHNIBTCAQBEGKNQEFI/graph.json","fetch_events":"https://pith.science/api/pith-number/7HIYHZI3JHNIBTCAQBEGKNQEFI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7HIYHZI3JHNIBTCAQBEGKNQEFI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7HIYHZI3JHNIBTCAQBEGKNQEFI/action/storage_attestation","attest_author":"https://pith.science/pith/7HIYHZI3JHNIBTCAQBEGKNQEFI/action/author_attestation","sign_citation":"https://pith.science/pith/7HIYHZI3JHNIBTCAQBEGKNQEFI/action/citation_signature","submit_replication":"https://pith.science/pith/7HIYHZI3JHNIBTCAQBEGKNQEFI/action/replication_record"}},"created_at":"2026-05-29T01:04:34.901942+00:00","updated_at":"2026-05-29T01:04:34.901942+00:00"}