{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:EX3LFERDHLLHPNN7LDNLLLIG3H","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":"a81cd38770ac418ddf19f0dcb13f97b94ee8d11fa55f032bf1c3d2d211c39209","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-01-09T16:46:33Z","title_canon_sha256":"eef7354222bed37cfb7402432eb4b4872abfadbc1b494a9f3d4623f18160982b"},"schema_version":"1.0","source":{"id":"1101.1653","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.1653","created_at":"2026-05-18T04:23:22Z"},{"alias_kind":"arxiv_version","alias_value":"1101.1653v3","created_at":"2026-05-18T04:23:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.1653","created_at":"2026-05-18T04:23:22Z"},{"alias_kind":"pith_short_12","alias_value":"EX3LFERDHLLH","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EX3LFERDHLLHPNN7","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EX3LFERD","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:6fbdfbeaed408422fc074c777fc793b656a00790550a760e09cacc46f654c4bb","target":"graph","created_at":"2026-05-18T04:23:22Z","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":"We extend two results of Ruzsa and Vu on the additive complements of primes","authors_text":"Hao Pan, Li-Xia Dai","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-01-09T16:46:33Z","title":"Note on the additive complements of primes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.1653","kind":"arxiv","version":3},"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:e31fd1c9cfe9da050c5e5c9ef196c8a35df0e69fde31fc007ba21a119c0d8325","target":"record","created_at":"2026-05-18T04:23:22Z","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":"a81cd38770ac418ddf19f0dcb13f97b94ee8d11fa55f032bf1c3d2d211c39209","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-01-09T16:46:33Z","title_canon_sha256":"eef7354222bed37cfb7402432eb4b4872abfadbc1b494a9f3d4623f18160982b"},"schema_version":"1.0","source":{"id":"1101.1653","kind":"arxiv","version":3}},"canonical_sha256":"25f6b292233ad677b5bf58dab5ad06d9fe9b104e734419b27cb80443d504f2d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25f6b292233ad677b5bf58dab5ad06d9fe9b104e734419b27cb80443d504f2d6","first_computed_at":"2026-05-18T04:23:22.041403Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:22.041403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OV7JGdiIc7T8Aby47PcyWqVOc+TpZ3i033oKp6BAYe8P6snIcxaxTyTEowYmxMjtZ6hH2MJVF0csgYh8PICGAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:22.042124Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.1653","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e31fd1c9cfe9da050c5e5c9ef196c8a35df0e69fde31fc007ba21a119c0d8325","sha256:6fbdfbeaed408422fc074c777fc793b656a00790550a760e09cacc46f654c4bb"],"state_sha256":"7f4b4f21133f299f36f85e04cc327636a280241a9ffef0b468f422094c61925e"}