{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:DU76B2LSRHM3UP5GJQM2WMN4I7","short_pith_number":"pith:DU76B2LS","canonical_record":{"source":{"id":"2203.06459","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2022-03-12T15:24:47Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"1b80508c0317455bb10400f9bbb58a61d9c4650ee8c3778a2555df3030879362","abstract_canon_sha256":"1c8cfc897fe97e11b8cb5b1f0e8206a7a6b3909444e9037045704faf96ec1897"},"schema_version":"1.0"},"canonical_sha256":"1d3fe0e97289d9ba3fa64c19ab31bc47ecae9b022e2269ae68ea1adbde43e597","source":{"kind":"arxiv","id":"2203.06459","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:DU76B2LSRHM3UP5GJQM2WMN4I7","target":"record","payload":{"canonical_record":{"source":{"id":"2203.06459","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2022-03-12T15:24:47Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"1b80508c0317455bb10400f9bbb58a61d9c4650ee8c3778a2555df3030879362","abstract_canon_sha256":"1c8cfc897fe97e11b8cb5b1f0e8206a7a6b3909444e9037045704faf96ec1897"},"schema_version":"1.0"},"canonical_sha256":"1d3fe0e97289d9ba3fa64c19ab31bc47ecae9b022e2269ae68ea1adbde43e597","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:08:29.261377Z","signature_b64":"fdktMczOgTT+9OZHfhz6gIUo1ZguyDZ0CAEgSxkPrJ8JhpGR25WaQaZTxGDz5t/i1ePYbeRN/eEr2fCbSYkjAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d3fe0e97289d9ba3fa64c19ab31bc47ecae9b022e2269ae68ea1adbde43e597","last_reissued_at":"2026-07-05T04:08:29.261017Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:08:29.261017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2203.06459","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":"2026-07-05T04:08:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ht2mZbuTDukwokqd6OAfqunpGmeTYl4S5OO0mVD5FXEN+4KZVn4vl4UC9JMj7SV+yf57NmPrkk2orvF7BdvRBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T02:43:07.447168Z"},"content_sha256":"33325afad375f9ef1579c8de665e016d84d0b3ac312688134fff75992a9cd1c0","schema_version":"1.0","event_id":"sha256:33325afad375f9ef1579c8de665e016d84d0b3ac312688134fff75992a9cd1c0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:DU76B2LSRHM3UP5GJQM2WMN4I7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An edge centrality measure based on the Kemeny constant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"B. Meini, D.A.Bini, D. Altafini, F. Poloni, V. Cutini","submitted_at":"2022-03-12T15:24:47Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.06459","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2203.06459/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T04:08:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t9ys4TYItZ9HMp3ZdQUcHnJ1Gdna6Q6RZolovV9Vo/f+BoQm96V+bg4pZ/nmTBtHsNLDLCR70b6O06tvGemlBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T02:43:07.447838Z"},"content_sha256":"c32ad233417cbdddb1b33bd5ccdf74efbc4de601fac031981d7fc70623f3774c","schema_version":"1.0","event_id":"sha256:c32ad233417cbdddb1b33bd5ccdf74efbc4de601fac031981d7fc70623f3774c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DU76B2LSRHM3UP5GJQM2WMN4I7/bundle.json","state_url":"https://pith.science/pith/DU76B2LSRHM3UP5GJQM2WMN4I7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DU76B2LSRHM3UP5GJQM2WMN4I7/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":"2026-07-07T02:43:07Z","links":{"resolver":"https://pith.science/pith/DU76B2LSRHM3UP5GJQM2WMN4I7","bundle":"https://pith.science/pith/DU76B2LSRHM3UP5GJQM2WMN4I7/bundle.json","state":"https://pith.science/pith/DU76B2LSRHM3UP5GJQM2WMN4I7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DU76B2LSRHM3UP5GJQM2WMN4I7/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3EbjmLwS5DPwe7EYiAgtqi7g/+OVzrzhM7X2Wx7NG4goHJ12AnN0OjfKvpTGGLrBLiNPVFZyp9oafwm9GubJCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T02:43:07.451999Z","bundle_sha256":"8590c798e5af16c4839ef4dafa3c5205040797d44c55b1d3edb4644e07aa3e08"}}