{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4IURLKK5ABOQPMI7MKPCJJOD76","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":"a9251f3416e6c776f2b87b16babf8a9042c4959f6b7302b367467771edc92d2c","cross_cats_sorted":["cond-mat.dis-nn","cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-12-10T18:48:33Z","title_canon_sha256":"f2f68e178f7a18a0ae36cb7c5ac28f36d79dcda8b13040d1742ec4e1f8369b09"},"schema_version":"1.0","source":{"id":"1412.3405","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.3405","created_at":"2026-05-18T02:03:45Z"},{"alias_kind":"arxiv_version","alias_value":"1412.3405v2","created_at":"2026-05-18T02:03:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.3405","created_at":"2026-05-18T02:03:45Z"},{"alias_kind":"pith_short_12","alias_value":"4IURLKK5ABOQ","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4IURLKK5ABOQPMI7","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4IURLKK5","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:4a2bbc5d173c482969591e95fc0cb331543cfec78eb6e7e0b2e16e66865beec1","target":"graph","created_at":"2026-05-18T02:03:45Z","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":"Networks are mathematical structures that are universally used to describe a large variety of complex systems such as the brain or the Internet. Characterizing the geometrical properties of these networks has become increasingly relevant for routing problems, inference and data mining. In real growing networks, topological, structural and geometrical properties emerge spontaneously from their dynamical rules. Nevertheless we still miss a model in which networks develop an emergent complex geometry. Here we show that a single two parameter network model, the growing geometrical network, can gen","authors_text":"Christoph Rahmede, Ginestra Bianconi, Giulia Menichetti, Zhihao Wu","cross_cats":["cond-mat.dis-nn","cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-12-10T18:48:33Z","title":"Emergent Complex Network Geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.3405","kind":"arxiv","version":2},"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":"sha256:1e334caf6d443e3d14aaabcf30842492eaedddf388c8297ab8a46fdf01c91b01","target":"record","created_at":"2026-05-18T02:03:45Z","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":"a9251f3416e6c776f2b87b16babf8a9042c4959f6b7302b367467771edc92d2c","cross_cats_sorted":["cond-mat.dis-nn","cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-12-10T18:48:33Z","title_canon_sha256":"f2f68e178f7a18a0ae36cb7c5ac28f36d79dcda8b13040d1742ec4e1f8369b09"},"schema_version":"1.0","source":{"id":"1412.3405","kind":"arxiv","version":2}},"canonical_sha256":"e22915a95d005d07b11f629e24a5c3ff9ce786e1a48bd34fdd98479791cc9603","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e22915a95d005d07b11f629e24a5c3ff9ce786e1a48bd34fdd98479791cc9603","first_computed_at":"2026-05-18T02:03:45.210336Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:45.210336Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hCeeVgyoPewsK9R+rOPU1TumouU4fuiwevOEzLtJGwa1Z60oTodjheZgTsO4GoHsLA9uXfcu8oTaUPVdx5/uCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:45.210872Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.3405","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e334caf6d443e3d14aaabcf30842492eaedddf388c8297ab8a46fdf01c91b01","sha256:4a2bbc5d173c482969591e95fc0cb331543cfec78eb6e7e0b2e16e66865beec1"],"state_sha256":"19980bc537a0421e07920c3f610688d495d98c49eadde0b0126a71b55261d3a8"}