{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:OPQAQ5AMOYZCZHHAJ6TR7L5UCI","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":"34b4693f96073949554d0cb458b0a00710ff679f3b12dd982722f95f502afc0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-02-14T18:56:40Z","title_canon_sha256":"4ce3e47efaeb1e3e822a84d13198a15f5e26fa4e8055f62d00343ae1fb6cd9bc"},"schema_version":"1.0","source":{"id":"1302.3507","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.3507","created_at":"2026-05-18T03:33:38Z"},{"alias_kind":"arxiv_version","alias_value":"1302.3507v1","created_at":"2026-05-18T03:33:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.3507","created_at":"2026-05-18T03:33:38Z"},{"alias_kind":"pith_short_12","alias_value":"OPQAQ5AMOYZC","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"OPQAQ5AMOYZCZHHA","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"OPQAQ5AM","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:48772c7ad648d9d44929bdefd95684bf6deec6ceeca168583038598ba4c95a72","target":"graph","created_at":"2026-05-18T03:33:38Z","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":"Answering in a strong form a question posed by Bollob\\'as and Scott, in this paper we determine the discrepancy between two random k-uniform hypergraphs, up to a constant factor depending solely on k.","authors_text":"Benny Sudakov, Humberto Naves, Jie Ma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-02-14T18:56:40Z","title":"Discrepancy of random graphs and hypergraphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.3507","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:df812081748da0ca078b52a594e6fff56824bb20ec5383395ea96d8eb55f7b67","target":"record","created_at":"2026-05-18T03:33:38Z","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":"34b4693f96073949554d0cb458b0a00710ff679f3b12dd982722f95f502afc0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-02-14T18:56:40Z","title_canon_sha256":"4ce3e47efaeb1e3e822a84d13198a15f5e26fa4e8055f62d00343ae1fb6cd9bc"},"schema_version":"1.0","source":{"id":"1302.3507","kind":"arxiv","version":1}},"canonical_sha256":"73e008740c76322c9ce04fa71fafb4123efa7d48caf1e8065f5861ecc7bb420a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73e008740c76322c9ce04fa71fafb4123efa7d48caf1e8065f5861ecc7bb420a","first_computed_at":"2026-05-18T03:33:38.407018Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:33:38.407018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YCt3LqMJ9rCmpZFeYwPv3dmkmtS6yH/4GQBee+x717KP/y69PfHRUdYclZdZy4UCz8tTZvBUFWu+ofeM+ZwLAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:33:38.407892Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.3507","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df812081748da0ca078b52a594e6fff56824bb20ec5383395ea96d8eb55f7b67","sha256:48772c7ad648d9d44929bdefd95684bf6deec6ceeca168583038598ba4c95a72"],"state_sha256":"bf61649afa50eec67404f94c20c783c560adb190a397acaaca0d283080802406"}