{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:R6AQI7K4RMK73ZRMNHOOB6GWQB","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":"1fea8235373476b3c48c67f9ca62f7bc3338b32b129fc937039bde07ecf222b8","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-05-15T14:48:54Z","title_canon_sha256":"e18e4f6ee0bf68deb262462996e0332d2f56e708d3dd0e5d5451d815ca92c775"},"schema_version":"1.0","source":{"id":"1505.04077","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.04077","created_at":"2026-05-18T01:23:49Z"},{"alias_kind":"arxiv_version","alias_value":"1505.04077v2","created_at":"2026-05-18T01:23:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.04077","created_at":"2026-05-18T01:23:49Z"},{"alias_kind":"pith_short_12","alias_value":"R6AQI7K4RMK7","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"R6AQI7K4RMK73ZRM","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"R6AQI7K4","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:d94530fbf420ad25d8356a5b8517f43b860e50a7f75b96fb0e93e34f11a57a07","target":"graph","created_at":"2026-05-18T01:23:49Z","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":"Individuals are always limited by some inelastic resources, such as time and energy, which restrict them to dedicate to social interaction and limit their contact capacity. Contact capacity plays an important role in dynamics of social contagions, which so far has eluded theoretical analysis. In this paper, we first propose a non-Markovian model to understand the effects of contact capacity on social contagions, in which each individual can only contact and transmit the information to a finite number of neighbors. We then develop a heterogeneous edge-based compartmental theory for this model, ","authors_text":"Ming Tang, Panpan Shu, Wei Wang, Yi-Cheng Zhang, Yu-Xiao Zhu","cross_cats":["cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-05-15T14:48:54Z","title":"Dynamics of social contagions with limited contact capacity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.04077","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":"sha256:6eba89e8890430b47bac37900e89279eb84fafb1fb97cdeaf2f0afee23b51194","target":"record","created_at":"2026-05-18T01:23:49Z","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":"1fea8235373476b3c48c67f9ca62f7bc3338b32b129fc937039bde07ecf222b8","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-05-15T14:48:54Z","title_canon_sha256":"e18e4f6ee0bf68deb262462996e0332d2f56e708d3dd0e5d5451d815ca92c775"},"schema_version":"1.0","source":{"id":"1505.04077","kind":"arxiv","version":2}},"canonical_sha256":"8f81047d5c8b15fde62c69dce0f8d6806b65c507195a896b8b1ccfef7eb813de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f81047d5c8b15fde62c69dce0f8d6806b65c507195a896b8b1ccfef7eb813de","first_computed_at":"2026-05-18T01:23:49.049473Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:49.049473Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SOlHm1KwcEdzQeS6cPwxY+DCtg3NTEMb9glkl5vsVW6cPuyz7Qgs0yZrAyBextx/T/zf0rzceVKx5Fr3A7/uAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:49.049974Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.04077","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6eba89e8890430b47bac37900e89279eb84fafb1fb97cdeaf2f0afee23b51194","sha256:d94530fbf420ad25d8356a5b8517f43b860e50a7f75b96fb0e93e34f11a57a07"],"state_sha256":"9e4af1d923df8ed2886aec2fdd03416396a88f98e7131c025501b46d04347c73"}