{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:JWCOHOUYZX7YUK254SMLGQV5T3","short_pith_number":"pith:JWCOHOUY","canonical_record":{"source":{"id":"1309.7455","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-09-28T12:37:02Z","cross_cats_sorted":["cond-mat.stat-mech","cs.SI"],"title_canon_sha256":"b60df8a6e85ea4615276a05ebc8d347c5159a0f7910d9470388ea51c65d96aa3","abstract_canon_sha256":"92a304f287232d948af4cf849614aae1c2acd46674754ed8f15bd393f0a90eae"},"schema_version":"1.0"},"canonical_sha256":"4d84e3ba98cdff8a2b5de498b342bd9ef8d90b527f97d2c070ce28f09ba67357","source":{"kind":"arxiv","id":"1309.7455","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.7455","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"arxiv_version","alias_value":"1309.7455v2","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.7455","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"pith_short_12","alias_value":"JWCOHOUYZX7Y","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JWCOHOUYZX7YUK25","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JWCOHOUY","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:JWCOHOUYZX7YUK254SMLGQV5T3","target":"record","payload":{"canonical_record":{"source":{"id":"1309.7455","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-09-28T12:37:02Z","cross_cats_sorted":["cond-mat.stat-mech","cs.SI"],"title_canon_sha256":"b60df8a6e85ea4615276a05ebc8d347c5159a0f7910d9470388ea51c65d96aa3","abstract_canon_sha256":"92a304f287232d948af4cf849614aae1c2acd46674754ed8f15bd393f0a90eae"},"schema_version":"1.0"},"canonical_sha256":"4d84e3ba98cdff8a2b5de498b342bd9ef8d90b527f97d2c070ce28f09ba67357","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:34.422302Z","signature_b64":"w4yeVg1sDtRXLO9TLRfRSmKXGWmHJ/4BgDAEVNFC9SZXF5YKfkU73OyUCFLjoKmplAPKxA5QdUboZFjkyLtoBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d84e3ba98cdff8a2b5de498b342bd9ef8d90b527f97d2c070ce28f09ba67357","last_reissued_at":"2026-05-18T02:52:34.421879Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:34.421879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.7455","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:52:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l2p9SK7SJsUEFLg5zUP+LjSApY6RAnJN0Kkaf5KH5caGBg5ae0GT0+BqBYj9JM4DnMklPrvNFZoc2nqAFov5AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T07:53:19.370539Z"},"content_sha256":"6da217799b3a00da00a6cd65ea3a21ad92bcfac4584f416aa69551c52de261c6","schema_version":"1.0","event_id":"sha256:6da217799b3a00da00a6cd65ea3a21ad92bcfac4584f416aa69551c52de261c6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:JWCOHOUYZX7YUK254SMLGQV5T3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From sparse to dense and from assortative to disassortative in online social networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"Chensheng Wu, Choy-Heng Lai, Jinshan Wu, Kun Li, Menghui Li, Shuguang Guan, Xiaofeng Gong, Zengru Di","submitted_at":"2013-09-28T12:37:02Z","abstract_excerpt":"Inspired by the analysis of several empirical online social networks, we propose a simple reaction-diffusion-like coevolving model, in which individuals are activated to create links based on their states, influenced by local dynamics and their own intention. It is shown that the model can reproduce the remarkable properties observed in empirical online social networks; in particular, the assortative coefficients are neutral or negative, and the power law exponents are smaller than 2. Moreover, we demonstrate that, under appropriate conditions, the model network naturally makes transition(s) f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.7455","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:52:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dCLhs68BDE6dd8QtIz2++cQXblEqFWj3608Fpt58BC4nKMInzqGhByr2ctEzduGHQTTstz9jwVy5Px4ihW68Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T07:53:19.370893Z"},"content_sha256":"e2eb5c692db4c7c53a638202949f201cdcc4ba536e050921ccc5c5621404496f","schema_version":"1.0","event_id":"sha256:e2eb5c692db4c7c53a638202949f201cdcc4ba536e050921ccc5c5621404496f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JWCOHOUYZX7YUK254SMLGQV5T3/bundle.json","state_url":"https://pith.science/pith/JWCOHOUYZX7YUK254SMLGQV5T3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JWCOHOUYZX7YUK254SMLGQV5T3/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T07:53:19Z","links":{"resolver":"https://pith.science/pith/JWCOHOUYZX7YUK254SMLGQV5T3","bundle":"https://pith.science/pith/JWCOHOUYZX7YUK254SMLGQV5T3/bundle.json","state":"https://pith.science/pith/JWCOHOUYZX7YUK254SMLGQV5T3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JWCOHOUYZX7YUK254SMLGQV5T3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:JWCOHOUYZX7YUK254SMLGQV5T3","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":"92a304f287232d948af4cf849614aae1c2acd46674754ed8f15bd393f0a90eae","cross_cats_sorted":["cond-mat.stat-mech","cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-09-28T12:37:02Z","title_canon_sha256":"b60df8a6e85ea4615276a05ebc8d347c5159a0f7910d9470388ea51c65d96aa3"},"schema_version":"1.0","source":{"id":"1309.7455","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.7455","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"arxiv_version","alias_value":"1309.7455v2","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.7455","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"pith_short_12","alias_value":"JWCOHOUYZX7Y","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JWCOHOUYZX7YUK25","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JWCOHOUY","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:e2eb5c692db4c7c53a638202949f201cdcc4ba536e050921ccc5c5621404496f","target":"graph","created_at":"2026-05-18T02:52:34Z","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":"Inspired by the analysis of several empirical online social networks, we propose a simple reaction-diffusion-like coevolving model, in which individuals are activated to create links based on their states, influenced by local dynamics and their own intention. It is shown that the model can reproduce the remarkable properties observed in empirical online social networks; in particular, the assortative coefficients are neutral or negative, and the power law exponents are smaller than 2. Moreover, we demonstrate that, under appropriate conditions, the model network naturally makes transition(s) f","authors_text":"Chensheng Wu, Choy-Heng Lai, Jinshan Wu, Kun Li, Menghui Li, Shuguang Guan, Xiaofeng Gong, Zengru Di","cross_cats":["cond-mat.stat-mech","cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-09-28T12:37:02Z","title":"From sparse to dense and from assortative to disassortative in online social networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.7455","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":"sha256:6da217799b3a00da00a6cd65ea3a21ad92bcfac4584f416aa69551c52de261c6","target":"record","created_at":"2026-05-18T02:52:34Z","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":"92a304f287232d948af4cf849614aae1c2acd46674754ed8f15bd393f0a90eae","cross_cats_sorted":["cond-mat.stat-mech","cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-09-28T12:37:02Z","title_canon_sha256":"b60df8a6e85ea4615276a05ebc8d347c5159a0f7910d9470388ea51c65d96aa3"},"schema_version":"1.0","source":{"id":"1309.7455","kind":"arxiv","version":2}},"canonical_sha256":"4d84e3ba98cdff8a2b5de498b342bd9ef8d90b527f97d2c070ce28f09ba67357","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d84e3ba98cdff8a2b5de498b342bd9ef8d90b527f97d2c070ce28f09ba67357","first_computed_at":"2026-05-18T02:52:34.421879Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:34.421879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w4yeVg1sDtRXLO9TLRfRSmKXGWmHJ/4BgDAEVNFC9SZXF5YKfkU73OyUCFLjoKmplAPKxA5QdUboZFjkyLtoBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:34.422302Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.7455","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6da217799b3a00da00a6cd65ea3a21ad92bcfac4584f416aa69551c52de261c6","sha256:e2eb5c692db4c7c53a638202949f201cdcc4ba536e050921ccc5c5621404496f"],"state_sha256":"ab913b0c673ac08a8e999105c34b17c332dbf502dca94983cfae8cad5e2dd817"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WD4IzK4UcLcOcJMwO9NU/+cNVfQnXOZ4H3mbTjHF53KU3AwL0hU0FluidelmSQx1OVU5yx23SCdAkescyzabAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T07:53:19.373799Z","bundle_sha256":"88e1ec5742a557deeef125db09966d7833e27ee44148dca56c3563c6966deacd"}}