{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:DU76B2LSRHM3UP5GJQM2WMN4I7","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":"1c8cfc897fe97e11b8cb5b1f0e8206a7a6b3909444e9037045704faf96ec1897","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2022-03-12T15:24:47Z","title_canon_sha256":"1b80508c0317455bb10400f9bbb58a61d9c4650ee8c3778a2555df3030879362"},"schema_version":"1.0","source":{"id":"2203.06459","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.06459","created_at":"2026-07-05T04:08:29Z"},{"alias_kind":"arxiv_version","alias_value":"2203.06459v2","created_at":"2026-07-05T04:08:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.06459","created_at":"2026-07-05T04:08:29Z"},{"alias_kind":"pith_short_12","alias_value":"DU76B2LSRHM3","created_at":"2026-07-05T04:08:29Z"},{"alias_kind":"pith_short_16","alias_value":"DU76B2LSRHM3UP5G","created_at":"2026-07-05T04:08:29Z"},{"alias_kind":"pith_short_8","alias_value":"DU76B2LS","created_at":"2026-07-05T04:08:29Z"}],"graph_snapshots":[{"event_id":"sha256:c32ad233417cbdddb1b33bd5ccdf74efbc4de601fac031981d7fc70623f3774c","target":"graph","created_at":"2026-07-05T04:08:29Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2203.06459/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A new measure $c(e)$ of the centrality of an edge $e$ in an undirected graph $G$ is introduced. It is based on the variation of the Kemeny constant of the graph after removing the edge $e$. The new measure is designed in such a way that the Braess paradox is avoided. A numerical method for computing $c(e)$ is introduced and a regularization technique is designed in order to deal with cut-edges and disconnected graphs. Numerical experiments performed on synthetic tests and on real road networks show that this measure is particularly effective in revealing bottleneck roads whose removal would gr","authors_text":"B. Meini, D.A.Bini, D. Altafini, F. Poloni, V. Cutini","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2022-03-12T15:24:47Z","title":"An edge centrality measure based on the Kemeny constant"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.06459","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":"sha256:33325afad375f9ef1579c8de665e016d84d0b3ac312688134fff75992a9cd1c0","target":"record","created_at":"2026-07-05T04:08:29Z","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":"1c8cfc897fe97e11b8cb5b1f0e8206a7a6b3909444e9037045704faf96ec1897","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2022-03-12T15:24:47Z","title_canon_sha256":"1b80508c0317455bb10400f9bbb58a61d9c4650ee8c3778a2555df3030879362"},"schema_version":"1.0","source":{"id":"2203.06459","kind":"arxiv","version":2}},"canonical_sha256":"1d3fe0e97289d9ba3fa64c19ab31bc47ecae9b022e2269ae68ea1adbde43e597","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d3fe0e97289d9ba3fa64c19ab31bc47ecae9b022e2269ae68ea1adbde43e597","first_computed_at":"2026-07-05T04:08:29.261017Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:08:29.261017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fdktMczOgTT+9OZHfhz6gIUo1ZguyDZ0CAEgSxkPrJ8JhpGR25WaQaZTxGDz5t/i1ePYbeRN/eEr2fCbSYkjAw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:08:29.261377Z","signed_message":"canonical_sha256_bytes"},"source_id":"2203.06459","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:33325afad375f9ef1579c8de665e016d84d0b3ac312688134fff75992a9cd1c0","sha256:c32ad233417cbdddb1b33bd5ccdf74efbc4de601fac031981d7fc70623f3774c"],"state_sha256":"32f003bf354ffebab9fedd0a178e6d4dbfcb9e52efebb1451af94e68f8038e93"}