{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:SA3BCOUOZHOIXPLSPR3UMD3YL6","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2e766a620e590b980049da299c5d76d892071b227eb0203d5bccc6f9e200a922","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-05-22T07:32:40Z","title_canon_sha256":"f9f5e152abb357617471aae2bb768310b7fb0714e775c95f07a597c3feed0e30"},"schema_version":"1.0","source":{"id":"1905.08994","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.08994","created_at":"2026-05-17T23:44:37Z"},{"alias_kind":"arxiv_version","alias_value":"1905.08994v2","created_at":"2026-05-17T23:44:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.08994","created_at":"2026-05-17T23:44:37Z"},{"alias_kind":"pith_short_12","alias_value":"SA3BCOUOZHOI","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"SA3BCOUOZHOIXPLS","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"SA3BCOUO","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:a9d1595bdfd76bf48ede40b1e8d0b54ebc123950fbbe50075ec6e0cc9cb0d4b0","target":"graph","created_at":"2026-05-17T23:44:37Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Given a graph $H$, the Tur\\'an number $ex(n,H)$ is the largest number of edges in an $H$-free graph on $n$ vertices. We make progress on a recent conjecture of Conlon, Janzer, and Lee on the Tur\\'an numbers of bipartite graphs, which in turn yields further progress on a conjecture of Erd\\H{o}s and Simonovits. Let $s,t,k\\geq 2$ be integers. Let $K_{s,t}^k$ denote the graph obtained from the complete bipartite graph $K_{s,t}$ by replacing each edge $uv$ in it with a path of length $k$ between $u$ and $v$ such that the $st$ replacing paths are internally disjoint. It follows from a general theore","authors_text":"Tao Jiang, Yu Qiu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-05-22T07:32:40Z","title":"Turan numbers of bipartite subdivisions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.08994","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:594ece43cecf47e57593a94ce8ead38f8caa003cabe9588d174066dd433870a9","target":"record","created_at":"2026-05-17T23:44:37Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"2e766a620e590b980049da299c5d76d892071b227eb0203d5bccc6f9e200a922","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-05-22T07:32:40Z","title_canon_sha256":"f9f5e152abb357617471aae2bb768310b7fb0714e775c95f07a597c3feed0e30"},"schema_version":"1.0","source":{"id":"1905.08994","kind":"arxiv","version":2}},"canonical_sha256":"9036113a8ec9dc8bbd727c77460f785f801f7d7b2fa78864cc968a462aed1315","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9036113a8ec9dc8bbd727c77460f785f801f7d7b2fa78864cc968a462aed1315","first_computed_at":"2026-05-17T23:44:37.472039Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:37.472039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/kO2c/C7oXZO8uT1HGIm2Q/jC7iSeFwPU5v2k4QLiEAuFALjVDumiYP23cODCKk94j+suy1G7UhN5BzJLbWUCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:37.472537Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.08994","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:594ece43cecf47e57593a94ce8ead38f8caa003cabe9588d174066dd433870a9","sha256:a9d1595bdfd76bf48ede40b1e8d0b54ebc123950fbbe50075ec6e0cc9cb0d4b0"],"state_sha256":"bf673abf64674d696f20f46ca3b3d8b69860673cc67fedfded3ce1dd59ba5317"}