{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:QQ4OGTAZOQMVSWSVUUAI4QHAXN","short_pith_number":"pith:QQ4OGTAZ","schema_version":"1.0","canonical_sha256":"8438e34c197419595a55a5008e40e0bb488294b87b389cc7df12e805a4cb7c76","source":{"kind":"arxiv","id":"1903.07476","version":1},"attestation_state":"computed","paper":{"title":"Extending partial automorphisms of $n$-partite tournaments","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM","math.GR"],"primary_cat":"math.CO","authors_text":"Colin Jahel, Jan Hubi\\v{c}ka, Marcin Sabok, Mat\\v{e}j Kone\\v{c}n\\'y","submitted_at":"2019-03-18T14:34:35Z","abstract_excerpt":"We prove that for every $n\\geq 2$ the class of all finite $n$-partite tournaments (orientations of complete $n$-partite graphs) has the extension property for partial automorphisms, that is, for every finite $n$-partite tournament $G$ there is a finite $n$-partite tournament $H$ such that every isomorphism of induced subgraphs of $G$ extends to an automorphism of $H$. Our constructions are purely combinatorial (whereas many earlier EPPA results use deep results from group theory) and extend to other classes such as the class of all finite semi-generic tournaments."},"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":"1903.07476","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-03-18T14:34:35Z","cross_cats_sorted":["cs.DM","math.GR"],"title_canon_sha256":"bf3586a0941d6e5d5bd621dc7f22fd9c5f0f4c029015b67f2611113e7951f108","abstract_canon_sha256":"28530ff1c2aa79dfd3be3b51c149cb6733f64b1248203d09a939e681e1cbebe3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:01.315532Z","signature_b64":"2y7T4BN5E7YC+PhUNa7fyWd9ouvcFjRsXOf3AvtNAEQEfAg9G3QSpoIwJwInBGgZCoM0XaSf5x3OhmXIibstBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8438e34c197419595a55a5008e40e0bb488294b87b389cc7df12e805a4cb7c76","last_reissued_at":"2026-05-17T23:51:01.315024Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:01.315024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Extending partial automorphisms of $n$-partite tournaments","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM","math.GR"],"primary_cat":"math.CO","authors_text":"Colin Jahel, Jan Hubi\\v{c}ka, Marcin Sabok, Mat\\v{e}j Kone\\v{c}n\\'y","submitted_at":"2019-03-18T14:34:35Z","abstract_excerpt":"We prove that for every $n\\geq 2$ the class of all finite $n$-partite tournaments (orientations of complete $n$-partite graphs) has the extension property for partial automorphisms, that is, for every finite $n$-partite tournament $G$ there is a finite $n$-partite tournament $H$ such that every isomorphism of induced subgraphs of $G$ extends to an automorphism of $H$. Our constructions are purely combinatorial (whereas many earlier EPPA results use deep results from group theory) and extend to other classes such as the class of all finite semi-generic tournaments."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.07476","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":"1903.07476","created_at":"2026-05-17T23:51:01.315094+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.07476v1","created_at":"2026-05-17T23:51:01.315094+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.07476","created_at":"2026-05-17T23:51:01.315094+00:00"},{"alias_kind":"pith_short_12","alias_value":"QQ4OGTAZOQMV","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_16","alias_value":"QQ4OGTAZOQMVSWSV","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_8","alias_value":"QQ4OGTAZ","created_at":"2026-05-18T12:33:27.125529+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/QQ4OGTAZOQMVSWSVUUAI4QHAXN","json":"https://pith.science/pith/QQ4OGTAZOQMVSWSVUUAI4QHAXN.json","graph_json":"https://pith.science/api/pith-number/QQ4OGTAZOQMVSWSVUUAI4QHAXN/graph.json","events_json":"https://pith.science/api/pith-number/QQ4OGTAZOQMVSWSVUUAI4QHAXN/events.json","paper":"https://pith.science/paper/QQ4OGTAZ"},"agent_actions":{"view_html":"https://pith.science/pith/QQ4OGTAZOQMVSWSVUUAI4QHAXN","download_json":"https://pith.science/pith/QQ4OGTAZOQMVSWSVUUAI4QHAXN.json","view_paper":"https://pith.science/paper/QQ4OGTAZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.07476&json=true","fetch_graph":"https://pith.science/api/pith-number/QQ4OGTAZOQMVSWSVUUAI4QHAXN/graph.json","fetch_events":"https://pith.science/api/pith-number/QQ4OGTAZOQMVSWSVUUAI4QHAXN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QQ4OGTAZOQMVSWSVUUAI4QHAXN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QQ4OGTAZOQMVSWSVUUAI4QHAXN/action/storage_attestation","attest_author":"https://pith.science/pith/QQ4OGTAZOQMVSWSVUUAI4QHAXN/action/author_attestation","sign_citation":"https://pith.science/pith/QQ4OGTAZOQMVSWSVUUAI4QHAXN/action/citation_signature","submit_replication":"https://pith.science/pith/QQ4OGTAZOQMVSWSVUUAI4QHAXN/action/replication_record"}},"created_at":"2026-05-17T23:51:01.315094+00:00","updated_at":"2026-05-17T23:51:01.315094+00:00"}