{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:FUOC2LSM3LE7K5VD6APDMEUGJH","short_pith_number":"pith:FUOC2LSM","schema_version":"1.0","canonical_sha256":"2d1c2d2e4cdac9f576a3f01e36128649ecc1239fe666560669f7c6200a449a85","source":{"kind":"arxiv","id":"math/0404542","version":1},"attestation_state":"computed","paper":{"title":"Contractible subgraphs and Morita equivalence of graph C*-algebras","license":"","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Daniel Gow, Tyrone Crisp","submitted_at":"2004-04-29T23:57:48Z","abstract_excerpt":"In this paper we describe an operation on directed graphs which produces a graph with fewer vertices, such that the C*-algebra of the new graph is Morita equivalent to that of the original graph. We unify and generalize several related constructions, notably delays and desingularizations of directed graphs."},"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":"math/0404542","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.OA","submitted_at":"2004-04-29T23:57:48Z","cross_cats_sorted":[],"title_canon_sha256":"c1e98d311fcbfadd52852c9ab87de4684fa952b0981fef3b103764d86a988061","abstract_canon_sha256":"7a185cf29b90c5e207b1cc1ee0b3e38cafd987ba1f70c746a5958d11d11366f0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:37:19.408758Z","signature_b64":"+2A3m3LARJZt6JHqK0z/E0NieW1xjbzrh4uOVZOjek2xh4/gfaOjFYnBC4nr9sjzUPAOiI+bB0v7RHNmxSZ8Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d1c2d2e4cdac9f576a3f01e36128649ecc1239fe666560669f7c6200a449a85","last_reissued_at":"2026-05-18T03:37:19.408247Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:37:19.408247Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Contractible subgraphs and Morita equivalence of graph C*-algebras","license":"","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Daniel Gow, Tyrone Crisp","submitted_at":"2004-04-29T23:57:48Z","abstract_excerpt":"In this paper we describe an operation on directed graphs which produces a graph with fewer vertices, such that the C*-algebra of the new graph is Morita equivalent to that of the original graph. We unify and generalize several related constructions, notably delays and desingularizations of directed graphs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0404542","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":"math/0404542","created_at":"2026-05-18T03:37:19.408322+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0404542v1","created_at":"2026-05-18T03:37:19.408322+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0404542","created_at":"2026-05-18T03:37:19.408322+00:00"},{"alias_kind":"pith_short_12","alias_value":"FUOC2LSM3LE7","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_16","alias_value":"FUOC2LSM3LE7K5VD","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_8","alias_value":"FUOC2LSM","created_at":"2026-05-18T12:25:52.687210+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/FUOC2LSM3LE7K5VD6APDMEUGJH","json":"https://pith.science/pith/FUOC2LSM3LE7K5VD6APDMEUGJH.json","graph_json":"https://pith.science/api/pith-number/FUOC2LSM3LE7K5VD6APDMEUGJH/graph.json","events_json":"https://pith.science/api/pith-number/FUOC2LSM3LE7K5VD6APDMEUGJH/events.json","paper":"https://pith.science/paper/FUOC2LSM"},"agent_actions":{"view_html":"https://pith.science/pith/FUOC2LSM3LE7K5VD6APDMEUGJH","download_json":"https://pith.science/pith/FUOC2LSM3LE7K5VD6APDMEUGJH.json","view_paper":"https://pith.science/paper/FUOC2LSM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0404542&json=true","fetch_graph":"https://pith.science/api/pith-number/FUOC2LSM3LE7K5VD6APDMEUGJH/graph.json","fetch_events":"https://pith.science/api/pith-number/FUOC2LSM3LE7K5VD6APDMEUGJH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FUOC2LSM3LE7K5VD6APDMEUGJH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FUOC2LSM3LE7K5VD6APDMEUGJH/action/storage_attestation","attest_author":"https://pith.science/pith/FUOC2LSM3LE7K5VD6APDMEUGJH/action/author_attestation","sign_citation":"https://pith.science/pith/FUOC2LSM3LE7K5VD6APDMEUGJH/action/citation_signature","submit_replication":"https://pith.science/pith/FUOC2LSM3LE7K5VD6APDMEUGJH/action/replication_record"}},"created_at":"2026-05-18T03:37:19.408322+00:00","updated_at":"2026-05-18T03:37:19.408322+00:00"}