{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:ISN6MNXISGE46MVYUB5DTTLVHR","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":"0cc9e9fd5d7436fc500bea3fde33956781f57daaa5b867c0d3edee9260453835","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-02-26T21:07:10Z","title_canon_sha256":"0f163b40507ad895a6878a30936cee604879fb047f3143fb0475147c002e56dc"},"schema_version":"1.0","source":{"id":"1902.10221","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.10221","created_at":"2026-07-05T00:42:14Z"},{"alias_kind":"arxiv_version","alias_value":"1902.10221v1","created_at":"2026-07-05T00:42:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.10221","created_at":"2026-07-05T00:42:14Z"},{"alias_kind":"pith_short_12","alias_value":"ISN6MNXISGE4","created_at":"2026-07-05T00:42:14Z"},{"alias_kind":"pith_short_16","alias_value":"ISN6MNXISGE46MVY","created_at":"2026-07-05T00:42:14Z"},{"alias_kind":"pith_short_8","alias_value":"ISN6MNXI","created_at":"2026-07-05T00:42:14Z"}],"graph_snapshots":[{"event_id":"sha256:07d1ef0eb88a63dad47bf3ff9faf3c68ee41e9351bcd80976f4f5207ce50b64b","target":"graph","created_at":"2026-07-05T00:42:14Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1902.10221/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The hedgehog $H_t$ is a 3-uniform hypergraph on vertices $1,\\dots,t+\\binom{t}{2}$ such that, for any pair $(i,j)$ with $1\\le i<j\\le t$, there exists a unique vertex $k>t$ such that $\\{i,j,k\\}$ is an edge. Conlon, Fox, and R\\\"odl proved that the two-color Ramsey number of the hedgehog grows polynomially in the number of its vertices, while the four-color Ramsey number grows exponentially in the number of its vertices. They asked whether the two-color Ramsey number of the hedgehog $H_t$ is nearly linear in the number of its vertices. We answer this question affirmatively, proving that $r(H_t) = ","authors_text":"Jacob Fox, Ray Li","cross_cats":["cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-02-26T21:07:10Z","title":"On Ramsey numbers of hedgehogs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.10221","kind":"arxiv","version":1},"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:b451f73227f47a88e2a69694ab9b1bee7fa19eb58db2554459256c766d073b81","target":"record","created_at":"2026-07-05T00:42:14Z","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":"0cc9e9fd5d7436fc500bea3fde33956781f57daaa5b867c0d3edee9260453835","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-02-26T21:07:10Z","title_canon_sha256":"0f163b40507ad895a6878a30936cee604879fb047f3143fb0475147c002e56dc"},"schema_version":"1.0","source":{"id":"1902.10221","kind":"arxiv","version":1}},"canonical_sha256":"449be636e89189cf32b8a07a39cd753c73650be464849943edc47a76061aa1de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"449be636e89189cf32b8a07a39cd753c73650be464849943edc47a76061aa1de","first_computed_at":"2026-07-05T00:42:14.438168Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:42:14.438168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"inmqNf83dSauJC9Rmtert9me3cucgYariQRhFUIw/36FVjkxBeohI7w4rms79gZE8+U5XncXpc0k48QXdJ1/Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:42:14.438573Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.10221","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b451f73227f47a88e2a69694ab9b1bee7fa19eb58db2554459256c766d073b81","sha256:07d1ef0eb88a63dad47bf3ff9faf3c68ee41e9351bcd80976f4f5207ce50b64b"],"state_sha256":"e9e1379e77f80ce39b690accfa1ecf6390677b5f3fd3cd5808ba6670a282f82c"}