{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:G5X7OMQRNM46OMUYV6N2L63MB5","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":"7ff258b8059193f01c620048aba82d227484115b901a2472f5fe2a5d04677d48","cross_cats_sorted":["cs.NE","cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-04-12T09:06:06Z","title_canon_sha256":"a86a6b41cd088147c7c0ce06453adc3412b31c1486a65715ff756f31c1e9a87d"},"schema_version":"1.0","source":{"id":"1704.03664","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03664","created_at":"2026-05-17T23:59:58Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03664v3","created_at":"2026-05-17T23:59:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03664","created_at":"2026-05-17T23:59:58Z"},{"alias_kind":"pith_short_12","alias_value":"G5X7OMQRNM46","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"G5X7OMQRNM46OMUY","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"G5X7OMQR","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:2b465da1bcef72dbd88ec3c93d55354d1e5cdef63be0ace420abd386d5228226","target":"graph","created_at":"2026-05-17T23:59:58Z","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":"It has been observed that many complex real-world networks have certain properties, such as a high clustering coefficient, a low diameter, and a power-law degree distribution. A network with a power-law degree distribution is known as scale-free network. In order to study these networks, various random graph models have been proposed, e.g. Preferential Attachment, Chung-Lu, or Hyperbolic.\n  We look at the interplay between the power-law degree distribution and the run time of optimization techniques for well known combinatorial problems. We observe that on scale-free networks, simple evolution","authors_text":"Ankit Chauhan, Francesco Quinzan, Tobias Friedrich","cross_cats":["cs.NE","cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-04-12T09:06:06Z","title":"Approximating Optimization Problems using EAs on Scale-Free Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03664","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":"sha256:4d73016133de5cdbee2492d90a1dff26e93b6bb1c41e343539e88d6a7ee6b302","target":"record","created_at":"2026-05-17T23:59:58Z","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":"7ff258b8059193f01c620048aba82d227484115b901a2472f5fe2a5d04677d48","cross_cats_sorted":["cs.NE","cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-04-12T09:06:06Z","title_canon_sha256":"a86a6b41cd088147c7c0ce06453adc3412b31c1486a65715ff756f31c1e9a87d"},"schema_version":"1.0","source":{"id":"1704.03664","kind":"arxiv","version":3}},"canonical_sha256":"376ff732116b39e73298af9ba5fb6c0f5160ed41891a4c3b776c2e75bd658618","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"376ff732116b39e73298af9ba5fb6c0f5160ed41891a4c3b776c2e75bd658618","first_computed_at":"2026-05-17T23:59:58.290447Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:58.290447Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4yDvkllEcp4S7aLM+b44riNLDzmlsFkIgHmeqQ9o2KhjvIFFTK3Td101TbK5UuU15DJ58ZOk4TqZKSsVupXNDA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:58.290899Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.03664","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d73016133de5cdbee2492d90a1dff26e93b6bb1c41e343539e88d6a7ee6b302","sha256:2b465da1bcef72dbd88ec3c93d55354d1e5cdef63be0ace420abd386d5228226"],"state_sha256":"c9329cf9fc044d5974068d940f2ccf7ea7c59ccb3e68f02f2702660f15ddc3c2"}