{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:COVHKC7IJDSSHC456HHVRZIGOT","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":"093b70ef7946cbbe9d77abc6fb88d945c66dcdc1efc1de3ea9f278c59c28c10a","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2018-02-14T22:10:24Z","title_canon_sha256":"545c4c1b4ee2ccaa513acb328a4efed879c53baee6fdf51532a6aee0c982d3b5"},"schema_version":"1.0","source":{"id":"1802.05337","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.05337","created_at":"2026-05-18T00:23:15Z"},{"alias_kind":"arxiv_version","alias_value":"1802.05337v1","created_at":"2026-05-18T00:23:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.05337","created_at":"2026-05-18T00:23:15Z"},{"alias_kind":"pith_short_12","alias_value":"COVHKC7IJDSS","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"COVHKC7IJDSSHC45","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"COVHKC7I","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:09508ad945183055713f51603485a651603349e04e4b1913052958ee5d338136","target":"graph","created_at":"2026-05-18T00:23:15Z","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":"Understanding the importance of links in transmitting information in a network can provide ways to hinder or postpone ongoing dynamical phenomena like the spreading of epidemic or the diffusion of information. In this work, we propose a new measure based on stochastic diffusion processes, the \\textit{transmission centrality}, that captures the importance of links by estimating the average number of nodes to whom they transfer information during a global spreading diffusion process. We propose a simple algorithmic solution to compute transmission centrality and to approximate it in very large n","authors_text":"Alessandro Vespignani, M\\'arton Karsai, Qian Zhang","cross_cats":["physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2018-02-14T22:10:24Z","title":"Link transmission centrality in large-scale social networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.05337","kind":"arxiv","version":1},"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":"sha256:23bf5b089a703c1dcf62f3ab48bccfbfd0653674f253187681dd622b6183eedf","target":"record","created_at":"2026-05-18T00:23:15Z","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":"093b70ef7946cbbe9d77abc6fb88d945c66dcdc1efc1de3ea9f278c59c28c10a","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2018-02-14T22:10:24Z","title_canon_sha256":"545c4c1b4ee2ccaa513acb328a4efed879c53baee6fdf51532a6aee0c982d3b5"},"schema_version":"1.0","source":{"id":"1802.05337","kind":"arxiv","version":1}},"canonical_sha256":"13aa750be848e5238b9df1cf58e50674cc246911c3bf84db3d884045031c7bdd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13aa750be848e5238b9df1cf58e50674cc246911c3bf84db3d884045031c7bdd","first_computed_at":"2026-05-18T00:23:15.935737Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:15.935737Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uBT5/OheTKUJ0rJhm9m4fL/f7lxqGeHruHE/gkRZMAKp0z8l5Oh8cedZWdmiVaRA7dIQoXuApf6THuDLLkQlAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:15.936439Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.05337","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:23bf5b089a703c1dcf62f3ab48bccfbfd0653674f253187681dd622b6183eedf","sha256:09508ad945183055713f51603485a651603349e04e4b1913052958ee5d338136"],"state_sha256":"bf938b7c4ff105b26a2dfa8135c5b97e173b5dc2b230b7a9ce6909f6e8472baa"}