{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ZC2ETIICQUYIG4YKG665TG3N4D","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":"34cd493e067ac4a3afeaff7d28b79c94070c3663fb4537d28005cb790cc90dab","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2026-07-17T09:50:14Z","title_canon_sha256":"f6d0dffd5907e8e7b37ac95426e0c00ead9762915bf82f663b9da1c00e09e0a3"},"schema_version":"1.0","source":{"id":"2607.15789","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.15789","created_at":"2026-07-20T01:19:10Z"},{"alias_kind":"arxiv_version","alias_value":"2607.15789v1","created_at":"2026-07-20T01:19:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.15789","created_at":"2026-07-20T01:19:10Z"},{"alias_kind":"pith_short_12","alias_value":"ZC2ETIICQUYI","created_at":"2026-07-20T01:19:10Z"},{"alias_kind":"pith_short_16","alias_value":"ZC2ETIICQUYIG4YK","created_at":"2026-07-20T01:19:10Z"},{"alias_kind":"pith_short_8","alias_value":"ZC2ETIIC","created_at":"2026-07-20T01:19:10Z"}],"graph_snapshots":[{"event_id":"sha256:c6025ea86c16a9cdd23d1a3537e18e7ef6608741e998f7f8af2b33ca71375ff4","target":"graph","created_at":"2026-07-20T01:19:10Z","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/2607.15789/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper studies the giant component of the sparse random bipartite graph $G(n, n, p)$, where $p = c/n$ for a fixed constant $c > 1$. We prove that its size is asymptotically normal.","authors_text":"Dmitry Shabanov, Pavel Zakharov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2026-07-17T09:50:14Z","title":"Asymptotic normality of the giant component size in a random bipartite graph"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.15789","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:a923004a3fc092871b9c2452d130b728253c0ceed0dd15f88211b000d35cc4f4","target":"record","created_at":"2026-07-20T01:19:10Z","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":"34cd493e067ac4a3afeaff7d28b79c94070c3663fb4537d28005cb790cc90dab","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2026-07-17T09:50:14Z","title_canon_sha256":"f6d0dffd5907e8e7b37ac95426e0c00ead9762915bf82f663b9da1c00e09e0a3"},"schema_version":"1.0","source":{"id":"2607.15789","kind":"arxiv","version":1}},"canonical_sha256":"c8b449a102853083730a37bdd99b6de0d0e76a911f5ba63c0381a1d8dc95ca7b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c8b449a102853083730a37bdd99b6de0d0e76a911f5ba63c0381a1d8dc95ca7b","first_computed_at":"2026-07-20T01:19:10.148741Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-20T01:19:10.148741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w6Xdlys/q9ww2Pg9aSoLTFptLIgqL/2G9sXLncdNP9YhYy0CZxTInoonKVFehyT4rBdAiqJ8UDQvGYaK2yv3BQ==","signature_status":"signed_v1","signed_at":"2026-07-20T01:19:10.149661Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.15789","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a923004a3fc092871b9c2452d130b728253c0ceed0dd15f88211b000d35cc4f4","sha256:c6025ea86c16a9cdd23d1a3537e18e7ef6608741e998f7f8af2b33ca71375ff4"],"state_sha256":"8141cdad1faed88762a921772af1ff91c46b76e390117c7f35687a8c1dd2954d"}