{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LUUNSYL3CKQJEJG3XVDZ36WCDG","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":"de0bdb7cbc7156f210144069533bc934666778e250d879051560056cc4e0c4c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-12-10T19:42:47Z","title_canon_sha256":"3d236d607a5ad339bc2ae74a4388ef1382f45bd9ac5254054e07b84d387a5ad5"},"schema_version":"1.0","source":{"id":"1312.2926","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.2926","created_at":"2026-05-18T03:02:33Z"},{"alias_kind":"arxiv_version","alias_value":"1312.2926v2","created_at":"2026-05-18T03:02:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.2926","created_at":"2026-05-18T03:02:33Z"},{"alias_kind":"pith_short_12","alias_value":"LUUNSYL3CKQJ","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LUUNSYL3CKQJEJG3","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LUUNSYL3","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:caba5d85e15a3530ad61f357e35ab9161b625821b60996d2249485b9b3b9d7eb","target":"graph","created_at":"2026-05-18T03:02:33Z","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":"This paper was written, apart from one technical correction, in July and August of 2013. The, then very recent, breakthrough of Y. Zhang \\cite{Z} had revived in us an intention to produce a second edition of our book \"Opera de Cribro\", one which would include an account of Zhang's result, stressing the sieve aspects of the method. A complete and connected version of the proof, in our style but not intended for journal publication, seemed a natural first step in this project. Following the further spectacular advance given by J. Maynard (arXiv:1311.4600, Nov 20, 2013), we have had to re-think o","authors_text":"H. Iwaniec, J.B. Friedlander","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-12-10T19:42:47Z","title":"Close encounters among the primes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.2926","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":"sha256:8775d1226831ebcdb19b3cd366ac74aa59a3cf38bbe7ec8b5056d801be81f8fa","target":"record","created_at":"2026-05-18T03:02:33Z","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":"de0bdb7cbc7156f210144069533bc934666778e250d879051560056cc4e0c4c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-12-10T19:42:47Z","title_canon_sha256":"3d236d607a5ad339bc2ae74a4388ef1382f45bd9ac5254054e07b84d387a5ad5"},"schema_version":"1.0","source":{"id":"1312.2926","kind":"arxiv","version":2}},"canonical_sha256":"5d28d9617b12a09224dbbd479dfac2198011db72ee0a45dd82af6105fa28d551","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d28d9617b12a09224dbbd479dfac2198011db72ee0a45dd82af6105fa28d551","first_computed_at":"2026-05-18T03:02:33.926654Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:33.926654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PMShcY/keH2laCHRLjypZSWl6Q/usQIkcEiF5LqCNTcwrOrcX3Kw+fGkWbUJe9dQ084Hl4PYnzvFH4+H5T11AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:33.927588Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.2926","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8775d1226831ebcdb19b3cd366ac74aa59a3cf38bbe7ec8b5056d801be81f8fa","sha256:caba5d85e15a3530ad61f357e35ab9161b625821b60996d2249485b9b3b9d7eb"],"state_sha256":"b517680b8985e69915e177e838a0666b172288d077066f4baa06fcaba77f03df"}