{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:CBV6YMS236PAODFCWBLMUURRPZ","short_pith_number":"pith:CBV6YMS2","schema_version":"1.0","canonical_sha256":"106bec325adf9e070ca2b056ca52317e77d8376957e441aea71049b42ffa27fb","source":{"kind":"arxiv","id":"1712.01788","version":1},"attestation_state":"computed","paper":{"title":"Specialization Models of Network Growth","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI","math.DS"],"primary_cat":"physics.soc-ph","authors_text":"B. Z. Webb, D. C. Smith, L. A. Bunimovich","submitted_at":"2017-12-05T18:00:45Z","abstract_excerpt":"One of the most important features observed in real networks is that, as a network's topology evolves so does the network's ability to perform various complex tasks. To explain this, it has also been observed that as a network grows certain subnetworks begin to specialize the function(s) they perform. Here, we introduce a class of models of network growth based on this notion of specialization and show that as a network is specialized using this method its topology becomes increasingly sparse, modular, and hierarchical, each of which are important properties observed in real networks. This pro"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1712.01788","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-12-05T18:00:45Z","cross_cats_sorted":["cs.SI","math.DS"],"title_canon_sha256":"c8df8f71efb96a35912cd75fc62772bc9fce2316a1a626c693559aaf6d8ef778","abstract_canon_sha256":"8305b9cc6f97ff434684f4497c97614ad47b7ed59b4acd6dae701272c46885a4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:47.533334Z","signature_b64":"Or52wlKpe1cAhE4rzp/elIvCVE4X2L59dwk8CbTiDzbltfrP9femi9e5XjqLC3mXdOWgVDqSr3ZC/5azFwozDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"106bec325adf9e070ca2b056ca52317e77d8376957e441aea71049b42ffa27fb","last_reissued_at":"2026-05-18T00:28:47.532594Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:47.532594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Specialization Models of Network Growth","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI","math.DS"],"primary_cat":"physics.soc-ph","authors_text":"B. Z. Webb, D. C. Smith, L. A. Bunimovich","submitted_at":"2017-12-05T18:00:45Z","abstract_excerpt":"One of the most important features observed in real networks is that, as a network's topology evolves so does the network's ability to perform various complex tasks. To explain this, it has also been observed that as a network grows certain subnetworks begin to specialize the function(s) they perform. Here, we introduce a class of models of network growth based on this notion of specialization and show that as a network is specialized using this method its topology becomes increasingly sparse, modular, and hierarchical, each of which are important properties observed in real networks. This pro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.01788","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1712.01788","created_at":"2026-05-18T00:28:47.532711+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.01788v1","created_at":"2026-05-18T00:28:47.532711+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.01788","created_at":"2026-05-18T00:28:47.532711+00:00"},{"alias_kind":"pith_short_12","alias_value":"CBV6YMS236PA","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_16","alias_value":"CBV6YMS236PAODFC","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_8","alias_value":"CBV6YMS2","created_at":"2026-05-18T12:31:10.602751+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CBV6YMS236PAODFCWBLMUURRPZ","json":"https://pith.science/pith/CBV6YMS236PAODFCWBLMUURRPZ.json","graph_json":"https://pith.science/api/pith-number/CBV6YMS236PAODFCWBLMUURRPZ/graph.json","events_json":"https://pith.science/api/pith-number/CBV6YMS236PAODFCWBLMUURRPZ/events.json","paper":"https://pith.science/paper/CBV6YMS2"},"agent_actions":{"view_html":"https://pith.science/pith/CBV6YMS236PAODFCWBLMUURRPZ","download_json":"https://pith.science/pith/CBV6YMS236PAODFCWBLMUURRPZ.json","view_paper":"https://pith.science/paper/CBV6YMS2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.01788&json=true","fetch_graph":"https://pith.science/api/pith-number/CBV6YMS236PAODFCWBLMUURRPZ/graph.json","fetch_events":"https://pith.science/api/pith-number/CBV6YMS236PAODFCWBLMUURRPZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CBV6YMS236PAODFCWBLMUURRPZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CBV6YMS236PAODFCWBLMUURRPZ/action/storage_attestation","attest_author":"https://pith.science/pith/CBV6YMS236PAODFCWBLMUURRPZ/action/author_attestation","sign_citation":"https://pith.science/pith/CBV6YMS236PAODFCWBLMUURRPZ/action/citation_signature","submit_replication":"https://pith.science/pith/CBV6YMS236PAODFCWBLMUURRPZ/action/replication_record"}},"created_at":"2026-05-18T00:28:47.532711+00:00","updated_at":"2026-05-18T00:28:47.532711+00:00"}