{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:LOT6EGYKZWGUWS6ENGLS6BYTHP","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":"ac165853b27b82d9921ed85e01705459d6b25dc1d2b8fb44753509e8942b31b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2018-08-27T01:43:25Z","title_canon_sha256":"5ad277be1f114a81717715fc42aa063d48ea03e5d797fed2d29bbbe2e8a3531c"},"schema_version":"1.0","source":{"id":"1808.08661","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.08661","created_at":"2026-05-18T00:07:13Z"},{"alias_kind":"arxiv_version","alias_value":"1808.08661v1","created_at":"2026-05-18T00:07:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.08661","created_at":"2026-05-18T00:07:13Z"},{"alias_kind":"pith_short_12","alias_value":"LOT6EGYKZWGU","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LOT6EGYKZWGUWS6E","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LOT6EGYK","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:e658c95b4ed3cc6eec487764fe9f84f79b8cfe617db4067f46c96e99ab87c383","target":"graph","created_at":"2026-05-18T00:07:13Z","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 family of Chithra graphs is a wide ranging family of graphs which includes any graph of size at least one. Chithra graphs serve as a graph theoretical model for genetic engineering techniques or for modelling natural mutation within various biological networks found in living systems. In this paper, we discuss recently introduced $J$-colouring of the family of Chithra graphs.","authors_text":"Johan Kok, Sudev Naduvath","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2018-08-27T01:43:25Z","title":"On $J$-Colouring of Chithra Graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.08661","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:d041e4bae9a0b875e6ebda52816031e42b06ada2fdf8e7e6e3d67c145603844f","target":"record","created_at":"2026-05-18T00:07:13Z","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":"ac165853b27b82d9921ed85e01705459d6b25dc1d2b8fb44753509e8942b31b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2018-08-27T01:43:25Z","title_canon_sha256":"5ad277be1f114a81717715fc42aa063d48ea03e5d797fed2d29bbbe2e8a3531c"},"schema_version":"1.0","source":{"id":"1808.08661","kind":"arxiv","version":1}},"canonical_sha256":"5ba7e21b0acd8d4b4bc469972f07133bea3e241c0999bc6b9d65e7572534043e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5ba7e21b0acd8d4b4bc469972f07133bea3e241c0999bc6b9d65e7572534043e","first_computed_at":"2026-05-18T00:07:13.652413Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:13.652413Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mzZR8+0ed50/vgzjhQgCMrcoMwf8g3zIacb72iaUikincQXS7MPRLgprMJ35ehn6LnRHZUzGZqVje+RZUyWTDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:13.653070Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.08661","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d041e4bae9a0b875e6ebda52816031e42b06ada2fdf8e7e6e3d67c145603844f","sha256:e658c95b4ed3cc6eec487764fe9f84f79b8cfe617db4067f46c96e99ab87c383"],"state_sha256":"b3fb689848374b5afc3f5c08f5adeeac59b94edca95f7202ec68a4ff41b0b110"}