{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:4H33N5W6JCSCZACSFJSZCQDSXB","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":"e85242973957d4dbb2716e5c3ce6d26c808dee34e72a3ded10a0da3440254d1d","cross_cats_sorted":["cond-mat.dis-nn"],"license":"","primary_cat":"physics.comp-ph","submitted_at":"2006-12-07T01:13:39Z","title_canon_sha256":"11cd5e47a000861c09db78f24ca7940406c85e9dece4d50d556a34bbdc6ee942"},"schema_version":"1.0","source":{"id":"physics/0612065","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0612065","created_at":"2026-07-04T17:02:50Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0612065v1","created_at":"2026-07-04T17:02:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0612065","created_at":"2026-07-04T17:02:50Z"},{"alias_kind":"pith_short_12","alias_value":"4H33N5W6JCSC","created_at":"2026-07-04T17:02:50Z"},{"alias_kind":"pith_short_16","alias_value":"4H33N5W6JCSCZACS","created_at":"2026-07-04T17:02:50Z"},{"alias_kind":"pith_short_8","alias_value":"4H33N5W6","created_at":"2026-07-04T17:02:50Z"}],"graph_snapshots":[{"event_id":"sha256:41550c47a3b564db5c2ce1d08f195aa23b98600cef065a235c81ed06d728c616","target":"graph","created_at":"2026-07-04T17:02:50Z","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/physics/0612065/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In a topological structure affected by geographical constraints on liking, the connectivity is weakened by constructing local stubs with small cycles, a something of randomness to bridge them is crucial for the robust network design. In this paper, we numerically investigate the effects of adding shortcuts on the robustness in geographical scale-free network models under a similar degree distribution to the original one. We show that a small fraction of shortcuts is highly contribute to improve the tolerance of connectivity especially for the intentional attacks on hubs. The improvement is equ","authors_text":"J. Matsukubo, Y. Hayashi","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"","primary_cat":"physics.comp-ph","submitted_at":"2006-12-07T01:13:39Z","title":"Improvement of the robustness on geographical networks by adding shortcuts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0612065","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":"sha256:15aa0893924c56619d3ed156d40bd29b8ef862d2df8de6f2335050667ac24116","target":"record","created_at":"2026-07-04T17:02:50Z","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":"e85242973957d4dbb2716e5c3ce6d26c808dee34e72a3ded10a0da3440254d1d","cross_cats_sorted":["cond-mat.dis-nn"],"license":"","primary_cat":"physics.comp-ph","submitted_at":"2006-12-07T01:13:39Z","title_canon_sha256":"11cd5e47a000861c09db78f24ca7940406c85e9dece4d50d556a34bbdc6ee942"},"schema_version":"1.0","source":{"id":"physics/0612065","kind":"arxiv","version":1}},"canonical_sha256":"e1f7b6f6de48a42c80522a65914072b84769f06ae044433a08171b57823bb0c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1f7b6f6de48a42c80522a65914072b84769f06ae044433a08171b57823bb0c5","first_computed_at":"2026-07-04T17:02:50.747126Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:02:50.747126Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dbaW0PzzGasXfJHcw10CU7vlQsEkXoGVfToAPdw+tHNwDsOYQpQ8w1GQaRBWgz7plRDHUXD2Yt1F0eg8EJ5DAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T17:02:50.747525Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/0612065","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15aa0893924c56619d3ed156d40bd29b8ef862d2df8de6f2335050667ac24116","sha256:41550c47a3b564db5c2ce1d08f195aa23b98600cef065a235c81ed06d728c616"],"state_sha256":"d0177c6f5e5fa05e87bfda31487ab5099341944cd9bd97632ffd7f1861692e84"}