{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KGCUW7QLXDTP4QHSSJ7FBGYNBD","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":"4ea3c831327eac782e90796a800d3500bed85423280ca61f9911939b4b862895","cross_cats_sorted":["cs.NE","math.CO","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2015-12-05T02:42:28Z","title_canon_sha256":"a6f6aed7809ea7a50b9be9a292647ccfa51ee09707793f78ca7a5480f223da5e"},"schema_version":"1.0","source":{"id":"1512.01613","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.01613","created_at":"2026-05-18T01:24:45Z"},{"alias_kind":"arxiv_version","alias_value":"1512.01613v2","created_at":"2026-05-18T01:24:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.01613","created_at":"2026-05-18T01:24:45Z"},{"alias_kind":"pith_short_12","alias_value":"KGCUW7QLXDTP","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"KGCUW7QLXDTP4QHS","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"KGCUW7QL","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:8f13ae86ea4aaf7ef14dcc1f1e7d7f1948c965a026fe120376a5a8447c681dc1","target":"graph","created_at":"2026-05-18T01:24:45Z","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":"The Ramsey number is of vital importance in Ramsey's theorem. This paper proposed a novel methodology for constructing Ramsey graphs about R(3,10), which uses Artificial Bee Colony optimization(ABC) to raise the lower bound of Ramsey number R(3,10). The r(3,10)-graph contains two limitations, that is, neither complete graphs of order 3 nor independent sets of order 10. To resolve these limitations, a special mathematical model is put in the paradigm to convert the problems into discrete optimization whose smaller minimizers are correspondent to bigger lower bound as approximation of inf R(3,10","authors_text":"Fei Gao, Wei-Hao Mao, Wen-Ming Li, Yi-Jin Dong","cross_cats":["cs.NE","math.CO","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2015-12-05T02:42:28Z","title":"A Novel Paradigm for Calculating Ramsey Number via Artificial Bee Colony Algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.01613","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:cde465bb7c118be71508601a07bc2fbff92f79825049c2075c1cc052226f2428","target":"record","created_at":"2026-05-18T01:24:45Z","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":"4ea3c831327eac782e90796a800d3500bed85423280ca61f9911939b4b862895","cross_cats_sorted":["cs.NE","math.CO","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2015-12-05T02:42:28Z","title_canon_sha256":"a6f6aed7809ea7a50b9be9a292647ccfa51ee09707793f78ca7a5480f223da5e"},"schema_version":"1.0","source":{"id":"1512.01613","kind":"arxiv","version":2}},"canonical_sha256":"51854b7e0bb8e6fe40f2927e509b0d08f453b3ff8372b8d03508ea17a09bd43c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51854b7e0bb8e6fe40f2927e509b0d08f453b3ff8372b8d03508ea17a09bd43c","first_computed_at":"2026-05-18T01:24:45.244971Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:45.244971Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vYCgtTxU64FAva5FgvpblzuyOIwbpXzOOcUpgnujO7PVnpv3f5n11nUcoyYoFy8Se3y71hC+VPzOPYVLbI0SDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:45.245493Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.01613","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cde465bb7c118be71508601a07bc2fbff92f79825049c2075c1cc052226f2428","sha256:8f13ae86ea4aaf7ef14dcc1f1e7d7f1948c965a026fe120376a5a8447c681dc1"],"state_sha256":"fff54afb68a3c279bed969e74621f923db5ba03865a3dd82e246c2c7a925ba8a"}