{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:LUJVNGG3NZUUMM73UMMOMCZOAX","short_pith_number":"pith:LUJVNGG3","schema_version":"1.0","canonical_sha256":"5d135698db6e694633fba318e60b2e05e6cd2caf7f3a37e7f2edc92e6bfe685e","source":{"kind":"arxiv","id":"1007.1330","version":1},"attestation_state":"computed","paper":{"title":"Sustainable growth in complex networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.soc-ph","authors_text":"Claudio J. Tessone, F. Schweitzer, Markus M. Geipel","submitted_at":"2010-07-08T10:09:14Z","abstract_excerpt":"Based on the empirical analysis of the dependency network in 18 Java projects, we develop a novel model of network growth which considers both: an attachment mechanism and the addition of new nodes with a heterogeneous distribution of their initial degree, $k_0$. Empirically we find that the cumulative degree distributions of initial degrees and of the final network, follow power-law behaviors: $P(k_{0}) \\propto k_{0}^{1-\\alpha}$, and $P(k)\\propto k^{1-\\gamma}$, respectively. For the total number of links as a function of the network size, we find empirically $K(N)\\propto N^{\\beta}$, where $\\b"},"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":"1007.1330","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2010-07-08T10:09:14Z","cross_cats_sorted":[],"title_canon_sha256":"9f8658ff6f5add2c29beac1b42b4af5e863edc41b716f5f6fe78955030a00fa4","abstract_canon_sha256":"79c0b2f3712993278264e8a197a9a90847d69a19f5b38744fcbb68ae4c01d3dc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:06:23.953254Z","signature_b64":"yZ5pKokJb0XjgOzSvZuZZUlCm63YeT5zKfOfP5rJZrE5lbypGTBuBtUS7eBOMcA0IDs/gDLuj1QFZUyKzvXYCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d135698db6e694633fba318e60b2e05e6cd2caf7f3a37e7f2edc92e6bfe685e","last_reissued_at":"2026-05-18T02:06:23.952613Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:06:23.952613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sustainable growth in complex networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.soc-ph","authors_text":"Claudio J. Tessone, F. Schweitzer, Markus M. Geipel","submitted_at":"2010-07-08T10:09:14Z","abstract_excerpt":"Based on the empirical analysis of the dependency network in 18 Java projects, we develop a novel model of network growth which considers both: an attachment mechanism and the addition of new nodes with a heterogeneous distribution of their initial degree, $k_0$. Empirically we find that the cumulative degree distributions of initial degrees and of the final network, follow power-law behaviors: $P(k_{0}) \\propto k_{0}^{1-\\alpha}$, and $P(k)\\propto k^{1-\\gamma}$, respectively. For the total number of links as a function of the network size, we find empirically $K(N)\\propto N^{\\beta}$, where $\\b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.1330","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":"1007.1330","created_at":"2026-05-18T02:06:23.952687+00:00"},{"alias_kind":"arxiv_version","alias_value":"1007.1330v1","created_at":"2026-05-18T02:06:23.952687+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.1330","created_at":"2026-05-18T02:06:23.952687+00:00"},{"alias_kind":"pith_short_12","alias_value":"LUJVNGG3NZUU","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_16","alias_value":"LUJVNGG3NZUUMM73","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_8","alias_value":"LUJVNGG3","created_at":"2026-05-18T12:26:10.704358+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/LUJVNGG3NZUUMM73UMMOMCZOAX","json":"https://pith.science/pith/LUJVNGG3NZUUMM73UMMOMCZOAX.json","graph_json":"https://pith.science/api/pith-number/LUJVNGG3NZUUMM73UMMOMCZOAX/graph.json","events_json":"https://pith.science/api/pith-number/LUJVNGG3NZUUMM73UMMOMCZOAX/events.json","paper":"https://pith.science/paper/LUJVNGG3"},"agent_actions":{"view_html":"https://pith.science/pith/LUJVNGG3NZUUMM73UMMOMCZOAX","download_json":"https://pith.science/pith/LUJVNGG3NZUUMM73UMMOMCZOAX.json","view_paper":"https://pith.science/paper/LUJVNGG3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1007.1330&json=true","fetch_graph":"https://pith.science/api/pith-number/LUJVNGG3NZUUMM73UMMOMCZOAX/graph.json","fetch_events":"https://pith.science/api/pith-number/LUJVNGG3NZUUMM73UMMOMCZOAX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LUJVNGG3NZUUMM73UMMOMCZOAX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LUJVNGG3NZUUMM73UMMOMCZOAX/action/storage_attestation","attest_author":"https://pith.science/pith/LUJVNGG3NZUUMM73UMMOMCZOAX/action/author_attestation","sign_citation":"https://pith.science/pith/LUJVNGG3NZUUMM73UMMOMCZOAX/action/citation_signature","submit_replication":"https://pith.science/pith/LUJVNGG3NZUUMM73UMMOMCZOAX/action/replication_record"}},"created_at":"2026-05-18T02:06:23.952687+00:00","updated_at":"2026-05-18T02:06:23.952687+00:00"}