{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OQOMU5MUCYNDLTMG6BA4TDH5BR","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":"89e9ea38f5553b5525528aa00285bbb365886e0bcb0cad82562b21ecdcfbd574","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2017-12-03T05:34:54Z","title_canon_sha256":"c769941acebb0cb4d35cc80c706db5611468c8021a2f08197d57eb375b486cac"},"schema_version":"1.0","source":{"id":"1712.00709","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.00709","created_at":"2026-05-18T00:29:00Z"},{"alias_kind":"arxiv_version","alias_value":"1712.00709v1","created_at":"2026-05-18T00:29:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.00709","created_at":"2026-05-18T00:29:00Z"},{"alias_kind":"pith_short_12","alias_value":"OQOMU5MUCYND","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OQOMU5MUCYNDLTMG","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OQOMU5MU","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:4c2070386635cd33a407bd8f3c9ade15d65dec08a5e4cbce914e8c2f85a83c44","target":"graph","created_at":"2026-05-18T00:29:00Z","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 goal of this Random Walks project is to code and experiment the Markov Chain Monte Carlo (MCMC) method for the problem of graph coloring. In this report, we present the plots of cost function \\(\\mathbf{H}\\) by varying the parameters like \\(\\mathbf{q}\\) (Number of colors that can be used in coloring) and \\(\\mathbf{c}\\) (Average node degree). The results are obtained by using simulated annealing scheme, where the temperature (inverse of \\(\\mathbf{\\beta}\\)) parameter in the MCMC is lowered progressively.","authors_text":"Alper Kose, Berke Aral Sonmez, Metin Balaban","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2017-12-03T05:34:54Z","title":"Simulated Annealing Algorithm for Graph Coloring"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.00709","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":"sha256:1fb44b1ce537ca3ea2b3b9448a9602b499bbdd094789e752496e10c641778af4","target":"record","created_at":"2026-05-18T00:29:00Z","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":"89e9ea38f5553b5525528aa00285bbb365886e0bcb0cad82562b21ecdcfbd574","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2017-12-03T05:34:54Z","title_canon_sha256":"c769941acebb0cb4d35cc80c706db5611468c8021a2f08197d57eb375b486cac"},"schema_version":"1.0","source":{"id":"1712.00709","kind":"arxiv","version":1}},"canonical_sha256":"741cca7594161a35cd86f041c98cfd0c5ebdd7ac6b52f1bcfb55a596ced1ed70","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"741cca7594161a35cd86f041c98cfd0c5ebdd7ac6b52f1bcfb55a596ced1ed70","first_computed_at":"2026-05-18T00:29:00.642838Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:00.642838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FX/QIEsJ///H6hJMqBT9Lr2JLcFs4BZHqUbhjm3+K1lWEWHouXMbiTrzSBzhaUc3GKdcD+OXBymw0Vum56f7BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:00.643297Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.00709","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1fb44b1ce537ca3ea2b3b9448a9602b499bbdd094789e752496e10c641778af4","sha256:4c2070386635cd33a407bd8f3c9ade15d65dec08a5e4cbce914e8c2f85a83c44"],"state_sha256":"104818252988b62db9ececa1621c7811ba60dcca91dc22969c738164486b4b75"}