{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:ZLFXNYPNRSD3BZKWV7PWVIHUMF","short_pith_number":"pith:ZLFXNYPN","canonical_record":{"source":{"id":"0901.0357","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-01-04T06:33:58Z","cross_cats_sorted":["physics.soc-ph","q-bio.PE"],"title_canon_sha256":"f243ee0114b36a143b83b6a4ea93d9cc4c18d89a26c63fdf2e3d57e2369e5515","abstract_canon_sha256":"15afea1f5420e42be9df8c34b384f775d82ef97b200c3c93872a8791822ec260"},"schema_version":"1.0"},"canonical_sha256":"cacb76e1ed8c87b0e556afdf6aa0f46140789104e193026e42d5b99438304621","source":{"kind":"arxiv","id":"0901.0357","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.0357","created_at":"2026-07-04T15:35:31Z"},{"alias_kind":"arxiv_version","alias_value":"0901.0357v1","created_at":"2026-07-04T15:35:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.0357","created_at":"2026-07-04T15:35:31Z"},{"alias_kind":"pith_short_12","alias_value":"ZLFXNYPNRSD3","created_at":"2026-07-04T15:35:31Z"},{"alias_kind":"pith_short_16","alias_value":"ZLFXNYPNRSD3BZKW","created_at":"2026-07-04T15:35:31Z"},{"alias_kind":"pith_short_8","alias_value":"ZLFXNYPN","created_at":"2026-07-04T15:35:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:ZLFXNYPNRSD3BZKWV7PWVIHUMF","target":"record","payload":{"canonical_record":{"source":{"id":"0901.0357","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-01-04T06:33:58Z","cross_cats_sorted":["physics.soc-ph","q-bio.PE"],"title_canon_sha256":"f243ee0114b36a143b83b6a4ea93d9cc4c18d89a26c63fdf2e3d57e2369e5515","abstract_canon_sha256":"15afea1f5420e42be9df8c34b384f775d82ef97b200c3c93872a8791822ec260"},"schema_version":"1.0"},"canonical_sha256":"cacb76e1ed8c87b0e556afdf6aa0f46140789104e193026e42d5b99438304621","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:35:31.185833Z","signature_b64":"75vHAxaX6aK4XNBEBDSSLyjlmzqoDUKbq44ZFmQAxZdDf6A7sl5L+hc0Tnf4AKbNph2YfR+44naMBnHB8e18Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cacb76e1ed8c87b0e556afdf6aa0f46140789104e193026e42d5b99438304621","last_reissued_at":"2026-07-04T15:35:31.185467Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:35:31.185467Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0901.0357","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:35:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r8foh6KjMVpONCRpY880WzC1/JbE2HKsaOFzGRL8aAqr8HbewYwxx44vY8yD0Lx5SMK8gKKp7dBadYOv3iX3Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T08:52:49.923437Z"},"content_sha256":"66b14b560e7b3fa76014e6423a8c125cfb4f85404a8e4701ba78e044d02eb990","schema_version":"1.0","event_id":"sha256:66b14b560e7b3fa76014e6423a8c125cfb4f85404a8e4701ba78e044d02eb990"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:ZLFXNYPNRSD3BZKWV7PWVIHUMF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Evolve Networks Towards Better Performance: a Compromise between Mutation and Selection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph","q-bio.PE"],"primary_cat":"cond-mat.stat-mech","authors_text":"Hai-Jun Zhou, Zhen Shao","submitted_at":"2009-01-04T06:33:58Z","abstract_excerpt":"The interaction between natural selection and random mutation is frequently debated in recent years. Does similar dilemma also exist in the evolution of real networks such as biological networks? In this paper, we try to discuss this issue by a simple model system, in which the topological structure of networks is repeatedly modified and selected in order to make them have better performance in dynamical processes. Interestingly, when the networks with optimal performance deviate from the steady state networks under pure mutations, we find the evolution behaves as a balance between mutation an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.0357","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0901.0357/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:35:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fOn+B/SYI5Kb7EPYZ4u/JswCGuSS69xG7NjbbLynnDE7kVDzjQO/aWrX5WpI2uVHdX4iSnMHz8JkBV1oZ0q0Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T08:52:49.923963Z"},"content_sha256":"6fae7c1dd5764ca65f7d6b70aff2911e844d1acbfea81ead0035336549468dc6","schema_version":"1.0","event_id":"sha256:6fae7c1dd5764ca65f7d6b70aff2911e844d1acbfea81ead0035336549468dc6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZLFXNYPNRSD3BZKWV7PWVIHUMF/bundle.json","state_url":"https://pith.science/pith/ZLFXNYPNRSD3BZKWV7PWVIHUMF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZLFXNYPNRSD3BZKWV7PWVIHUMF/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-20T08:52:49Z","links":{"resolver":"https://pith.science/pith/ZLFXNYPNRSD3BZKWV7PWVIHUMF","bundle":"https://pith.science/pith/ZLFXNYPNRSD3BZKWV7PWVIHUMF/bundle.json","state":"https://pith.science/pith/ZLFXNYPNRSD3BZKWV7PWVIHUMF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZLFXNYPNRSD3BZKWV7PWVIHUMF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:ZLFXNYPNRSD3BZKWV7PWVIHUMF","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":"15afea1f5420e42be9df8c34b384f775d82ef97b200c3c93872a8791822ec260","cross_cats_sorted":["physics.soc-ph","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-01-04T06:33:58Z","title_canon_sha256":"f243ee0114b36a143b83b6a4ea93d9cc4c18d89a26c63fdf2e3d57e2369e5515"},"schema_version":"1.0","source":{"id":"0901.0357","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.0357","created_at":"2026-07-04T15:35:31Z"},{"alias_kind":"arxiv_version","alias_value":"0901.0357v1","created_at":"2026-07-04T15:35:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.0357","created_at":"2026-07-04T15:35:31Z"},{"alias_kind":"pith_short_12","alias_value":"ZLFXNYPNRSD3","created_at":"2026-07-04T15:35:31Z"},{"alias_kind":"pith_short_16","alias_value":"ZLFXNYPNRSD3BZKW","created_at":"2026-07-04T15:35:31Z"},{"alias_kind":"pith_short_8","alias_value":"ZLFXNYPN","created_at":"2026-07-04T15:35:31Z"}],"graph_snapshots":[{"event_id":"sha256:6fae7c1dd5764ca65f7d6b70aff2911e844d1acbfea81ead0035336549468dc6","target":"graph","created_at":"2026-07-04T15:35:31Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0901.0357/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The interaction between natural selection and random mutation is frequently debated in recent years. Does similar dilemma also exist in the evolution of real networks such as biological networks? In this paper, we try to discuss this issue by a simple model system, in which the topological structure of networks is repeatedly modified and selected in order to make them have better performance in dynamical processes. Interestingly, when the networks with optimal performance deviate from the steady state networks under pure mutations, we find the evolution behaves as a balance between mutation an","authors_text":"Hai-Jun Zhou, Zhen Shao","cross_cats":["physics.soc-ph","q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-01-04T06:33:58Z","title":"Evolve Networks Towards Better Performance: a Compromise between Mutation and Selection"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.0357","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":"sha256:66b14b560e7b3fa76014e6423a8c125cfb4f85404a8e4701ba78e044d02eb990","target":"record","created_at":"2026-07-04T15:35:31Z","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":"15afea1f5420e42be9df8c34b384f775d82ef97b200c3c93872a8791822ec260","cross_cats_sorted":["physics.soc-ph","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-01-04T06:33:58Z","title_canon_sha256":"f243ee0114b36a143b83b6a4ea93d9cc4c18d89a26c63fdf2e3d57e2369e5515"},"schema_version":"1.0","source":{"id":"0901.0357","kind":"arxiv","version":1}},"canonical_sha256":"cacb76e1ed8c87b0e556afdf6aa0f46140789104e193026e42d5b99438304621","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cacb76e1ed8c87b0e556afdf6aa0f46140789104e193026e42d5b99438304621","first_computed_at":"2026-07-04T15:35:31.185467Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:35:31.185467Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"75vHAxaX6aK4XNBEBDSSLyjlmzqoDUKbq44ZFmQAxZdDf6A7sl5L+hc0Tnf4AKbNph2YfR+44naMBnHB8e18Aw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:35:31.185833Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.0357","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:66b14b560e7b3fa76014e6423a8c125cfb4f85404a8e4701ba78e044d02eb990","sha256:6fae7c1dd5764ca65f7d6b70aff2911e844d1acbfea81ead0035336549468dc6"],"state_sha256":"afe24cbafc763d96faf754d31579d443534660950e1415e330ed558e1bd61265"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VDSIUzBD5CYvJa0fkEsrbYoD+P5qeBcGFEZ8x+ZLSdsV0uKu2Oi6KhURbE0Qi6X0GGqIhBme9DxEIOch2kBLCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T08:52:49.929060Z","bundle_sha256":"95939f2ff3c2cff3f4c18641feb8462af4758bbe77e19faf0f654a1e76806fc1"}}