{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:SL2453WODTCGUD73JXT6GPEJIY","short_pith_number":"pith:SL2453WO","schema_version":"1.0","canonical_sha256":"92f5ceeece1cc46a0ffb4de7e33c89460bda1549c7a8021cd6f9c6d3ee28f253","source":{"kind":"arxiv","id":"1010.3096","version":1},"attestation_state":"computed","paper":{"title":"Assortative Mixing in Close-Packed Spatial Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI","physics.soc-ph"],"primary_cat":"cond-mat.dis-nn","authors_text":"Ali Rana Atilgan, Canan Atilgan, Deniz Turgut","submitted_at":"2010-10-15T08:31:59Z","abstract_excerpt":"A general relation for the dependence of nearest neighbor degree correlations on degree is derived. Dependence of local clustering on degree is shown to be the sole determining factor of assortative versus disassortative mixing in networks. The characteristics of networks derived from spatial atomic/molecular systems exemplified by self-organized residue networks and block copolymers, atomic clusters and well-compressed polymeric melts are studied. Distributions of statistical properties of the networks are presented. For these densely-packed systems, assortative mixing in the network construc"},"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":"1010.3096","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-10-15T08:31:59Z","cross_cats_sorted":["cs.SI","physics.soc-ph"],"title_canon_sha256":"3baa29ac2ce412a49e4b9aec3b875023541ffb94a00c935cef5a45521677c946","abstract_canon_sha256":"3e9e74b3326278a49754c5846a2a372675b5a4f56c0ea0b1a1029eab043a9f5b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:04.620516Z","signature_b64":"FqApevIY7KzVuVNV6dFYi0MzYMD5s0Je6K3TS47n+OgcjLM5DlmkK3UL71ohgyG3Wzd9uC9jfKuGWUdSOLoRAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92f5ceeece1cc46a0ffb4de7e33c89460bda1549c7a8021cd6f9c6d3ee28f253","last_reissued_at":"2026-05-18T02:05:04.619788Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:04.619788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Assortative Mixing in Close-Packed Spatial Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI","physics.soc-ph"],"primary_cat":"cond-mat.dis-nn","authors_text":"Ali Rana Atilgan, Canan Atilgan, Deniz Turgut","submitted_at":"2010-10-15T08:31:59Z","abstract_excerpt":"A general relation for the dependence of nearest neighbor degree correlations on degree is derived. Dependence of local clustering on degree is shown to be the sole determining factor of assortative versus disassortative mixing in networks. The characteristics of networks derived from spatial atomic/molecular systems exemplified by self-organized residue networks and block copolymers, atomic clusters and well-compressed polymeric melts are studied. Distributions of statistical properties of the networks are presented. For these densely-packed systems, assortative mixing in the network construc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.3096","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":"1010.3096","created_at":"2026-05-18T02:05:04.619894+00:00"},{"alias_kind":"arxiv_version","alias_value":"1010.3096v1","created_at":"2026-05-18T02:05:04.619894+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.3096","created_at":"2026-05-18T02:05:04.619894+00:00"},{"alias_kind":"pith_short_12","alias_value":"SL2453WODTCG","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_16","alias_value":"SL2453WODTCGUD73","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_8","alias_value":"SL2453WO","created_at":"2026-05-18T12:26:13.927090+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/SL2453WODTCGUD73JXT6GPEJIY","json":"https://pith.science/pith/SL2453WODTCGUD73JXT6GPEJIY.json","graph_json":"https://pith.science/api/pith-number/SL2453WODTCGUD73JXT6GPEJIY/graph.json","events_json":"https://pith.science/api/pith-number/SL2453WODTCGUD73JXT6GPEJIY/events.json","paper":"https://pith.science/paper/SL2453WO"},"agent_actions":{"view_html":"https://pith.science/pith/SL2453WODTCGUD73JXT6GPEJIY","download_json":"https://pith.science/pith/SL2453WODTCGUD73JXT6GPEJIY.json","view_paper":"https://pith.science/paper/SL2453WO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1010.3096&json=true","fetch_graph":"https://pith.science/api/pith-number/SL2453WODTCGUD73JXT6GPEJIY/graph.json","fetch_events":"https://pith.science/api/pith-number/SL2453WODTCGUD73JXT6GPEJIY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SL2453WODTCGUD73JXT6GPEJIY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SL2453WODTCGUD73JXT6GPEJIY/action/storage_attestation","attest_author":"https://pith.science/pith/SL2453WODTCGUD73JXT6GPEJIY/action/author_attestation","sign_citation":"https://pith.science/pith/SL2453WODTCGUD73JXT6GPEJIY/action/citation_signature","submit_replication":"https://pith.science/pith/SL2453WODTCGUD73JXT6GPEJIY/action/replication_record"}},"created_at":"2026-05-18T02:05:04.619894+00:00","updated_at":"2026-05-18T02:05:04.619894+00:00"}