{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:CYW4HG2SAF3OCRGYZS3UQT2KYW","short_pith_number":"pith:CYW4HG2S","schema_version":"1.0","canonical_sha256":"162dc39b520176e144d8ccb7484f4ac5ba0722e91416c41baa285068a3c724b8","source":{"kind":"arxiv","id":"1704.07409","version":1},"attestation_state":"computed","paper":{"title":"Quivers, Algebras and Adjoint functors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Kostiantyn Iusenko","submitted_at":"2017-04-24T18:42:00Z","abstract_excerpt":"These are the notes for a minicourse held in Odessa (2016) and Belo Horizonte (2017). My aim was to provide a short introduction to basic notions of category theory and representation theory of finite-dimensional algebras. We learnt the concept of adjoint functors and showed that the construction \"quiver\" <-> \"algebra\" can be interpreted as a pair of adjoint functors between certain categories. Lectures almost do not contain the proofs, theoretical part is accompanied with examples, and sometimes introduced in the form of exercises."},"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":"1704.07409","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-04-24T18:42:00Z","cross_cats_sorted":[],"title_canon_sha256":"3efbaaff3a24f8e4ebbc89d36ff27a1307d64f319088ca9ab8ba8a23bc0c9087","abstract_canon_sha256":"934119a4d91661246590aed68559d4878ec7cce39654c2caff0dd9781033d207"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:38.183547Z","signature_b64":"v9Mv7eAKPYoMmfr0YW+YWH/Y5hKUSO4p7doLrXQWdtVmVAYm8PkNz4ZiW9WYlOiKgpf9eCLU7i0aljeoXjl/Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"162dc39b520176e144d8ccb7484f4ac5ba0722e91416c41baa285068a3c724b8","last_reissued_at":"2026-05-18T00:45:38.182651Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:38.182651Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quivers, Algebras and Adjoint functors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Kostiantyn Iusenko","submitted_at":"2017-04-24T18:42:00Z","abstract_excerpt":"These are the notes for a minicourse held in Odessa (2016) and Belo Horizonte (2017). My aim was to provide a short introduction to basic notions of category theory and representation theory of finite-dimensional algebras. We learnt the concept of adjoint functors and showed that the construction \"quiver\" <-> \"algebra\" can be interpreted as a pair of adjoint functors between certain categories. Lectures almost do not contain the proofs, theoretical part is accompanied with examples, and sometimes introduced in the form of exercises."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.07409","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":"1704.07409","created_at":"2026-05-18T00:45:38.183050+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.07409v1","created_at":"2026-05-18T00:45:38.183050+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.07409","created_at":"2026-05-18T00:45:38.183050+00:00"},{"alias_kind":"pith_short_12","alias_value":"CYW4HG2SAF3O","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_16","alias_value":"CYW4HG2SAF3OCRGY","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_8","alias_value":"CYW4HG2S","created_at":"2026-05-18T12:31:10.602751+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/CYW4HG2SAF3OCRGYZS3UQT2KYW","json":"https://pith.science/pith/CYW4HG2SAF3OCRGYZS3UQT2KYW.json","graph_json":"https://pith.science/api/pith-number/CYW4HG2SAF3OCRGYZS3UQT2KYW/graph.json","events_json":"https://pith.science/api/pith-number/CYW4HG2SAF3OCRGYZS3UQT2KYW/events.json","paper":"https://pith.science/paper/CYW4HG2S"},"agent_actions":{"view_html":"https://pith.science/pith/CYW4HG2SAF3OCRGYZS3UQT2KYW","download_json":"https://pith.science/pith/CYW4HG2SAF3OCRGYZS3UQT2KYW.json","view_paper":"https://pith.science/paper/CYW4HG2S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.07409&json=true","fetch_graph":"https://pith.science/api/pith-number/CYW4HG2SAF3OCRGYZS3UQT2KYW/graph.json","fetch_events":"https://pith.science/api/pith-number/CYW4HG2SAF3OCRGYZS3UQT2KYW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CYW4HG2SAF3OCRGYZS3UQT2KYW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CYW4HG2SAF3OCRGYZS3UQT2KYW/action/storage_attestation","attest_author":"https://pith.science/pith/CYW4HG2SAF3OCRGYZS3UQT2KYW/action/author_attestation","sign_citation":"https://pith.science/pith/CYW4HG2SAF3OCRGYZS3UQT2KYW/action/citation_signature","submit_replication":"https://pith.science/pith/CYW4HG2SAF3OCRGYZS3UQT2KYW/action/replication_record"}},"created_at":"2026-05-18T00:45:38.183050+00:00","updated_at":"2026-05-18T00:45:38.183050+00:00"}