{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:QDUCH65QVNYBA6MVP7X3YOO4CE","short_pith_number":"pith:QDUCH65Q","canonical_record":{"source":{"id":"1508.01056","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2015-08-05T12:48:21Z","cross_cats_sorted":["math.NA","physics.soc-ph"],"title_canon_sha256":"de3c5aa92beec743678f6f1885faf03112063d867f7c7345788509da2d293248","abstract_canon_sha256":"6097ba4c85bb771d00db3c0696ccbdc4e813f37fa34cfcd360b6014b99918eed"},"schema_version":"1.0"},"canonical_sha256":"80e823fbb0ab701079957fefbc39dc110f4686edfa5ea052a565ff88a06be490","source":{"kind":"arxiv","id":"1508.01056","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.01056","created_at":"2026-05-18T01:26:33Z"},{"alias_kind":"arxiv_version","alias_value":"1508.01056v2","created_at":"2026-05-18T01:26:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.01056","created_at":"2026-05-18T01:26:33Z"},{"alias_kind":"pith_short_12","alias_value":"QDUCH65QVNYB","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"QDUCH65QVNYBA6MV","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"QDUCH65Q","created_at":"2026-05-18T12:29:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:QDUCH65QVNYBA6MVP7X3YOO4CE","target":"record","payload":{"canonical_record":{"source":{"id":"1508.01056","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2015-08-05T12:48:21Z","cross_cats_sorted":["math.NA","physics.soc-ph"],"title_canon_sha256":"de3c5aa92beec743678f6f1885faf03112063d867f7c7345788509da2d293248","abstract_canon_sha256":"6097ba4c85bb771d00db3c0696ccbdc4e813f37fa34cfcd360b6014b99918eed"},"schema_version":"1.0"},"canonical_sha256":"80e823fbb0ab701079957fefbc39dc110f4686edfa5ea052a565ff88a06be490","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:33.835719Z","signature_b64":"dva/sw8BEU06xNKUS9ReGo8pB5EKWv0SHRK4O9mOX02asJG0Ih7Cu/pdkgq4qKzJct1RUzWeOpBCjx2Fd3jAAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"80e823fbb0ab701079957fefbc39dc110f4686edfa5ea052a565ff88a06be490","last_reissued_at":"2026-05-18T01:26:33.835014Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:33.835014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.01056","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":"2026-05-18T01:26:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/mVOkNQTXx/ifRgKR7qF1+U4KfhEYDMnrlN1OanvtrMITPir082v80wLM5RXF3QQoppWjCKleEgT987G/IHBBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T22:00:07.537916Z"},"content_sha256":"ab3206df1a7162d71db2056942a34e087f7d9e468803ac143b4630d8eff8f27f","schema_version":"1.0","event_id":"sha256:ab3206df1a7162d71db2056942a34e087f7d9e468803ac143b4630d8eff8f27f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:QDUCH65QVNYBA6MVP7X3YOO4CE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Edge modification criteria for enhancing the communicability of digraphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA","physics.soc-ph"],"primary_cat":"cs.SI","authors_text":"Francesca Arrigo, Michele Benzi","submitted_at":"2015-08-05T12:48:21Z","abstract_excerpt":"We introduce new broadcast and receive communicability indices that can be used as global measures of how effectively information is spread in a directed network. Furthermore, we describe fast and effective criteria for the selection of edges to be added to (or deleted from) a given directed network so as to enhance these network communicability measures. Numerical experiments illustrate the effectiveness of the proposed techniques."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.01056","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":"2026-05-18T01:26:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eHxAW869ztvbrJaEbhE3xRj86CodO8RYiPWxXD9qRlcVaZ/GuaBYMnUv61FVH/j0mFhy4LufuTg6lQ4om70HCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T22:00:07.538261Z"},"content_sha256":"ba84e4f071fa3e8b10b724fe4b7b85874613f77f4a993bdd7e1f192d72804c6b","schema_version":"1.0","event_id":"sha256:ba84e4f071fa3e8b10b724fe4b7b85874613f77f4a993bdd7e1f192d72804c6b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QDUCH65QVNYBA6MVP7X3YOO4CE/bundle.json","state_url":"https://pith.science/pith/QDUCH65QVNYBA6MVP7X3YOO4CE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QDUCH65QVNYBA6MVP7X3YOO4CE/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":"2026-06-22T22:00:07Z","links":{"resolver":"https://pith.science/pith/QDUCH65QVNYBA6MVP7X3YOO4CE","bundle":"https://pith.science/pith/QDUCH65QVNYBA6MVP7X3YOO4CE/bundle.json","state":"https://pith.science/pith/QDUCH65QVNYBA6MVP7X3YOO4CE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QDUCH65QVNYBA6MVP7X3YOO4CE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:QDUCH65QVNYBA6MVP7X3YOO4CE","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":"6097ba4c85bb771d00db3c0696ccbdc4e813f37fa34cfcd360b6014b99918eed","cross_cats_sorted":["math.NA","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2015-08-05T12:48:21Z","title_canon_sha256":"de3c5aa92beec743678f6f1885faf03112063d867f7c7345788509da2d293248"},"schema_version":"1.0","source":{"id":"1508.01056","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.01056","created_at":"2026-05-18T01:26:33Z"},{"alias_kind":"arxiv_version","alias_value":"1508.01056v2","created_at":"2026-05-18T01:26:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.01056","created_at":"2026-05-18T01:26:33Z"},{"alias_kind":"pith_short_12","alias_value":"QDUCH65QVNYB","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"QDUCH65QVNYBA6MV","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"QDUCH65Q","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:ba84e4f071fa3e8b10b724fe4b7b85874613f77f4a993bdd7e1f192d72804c6b","target":"graph","created_at":"2026-05-18T01:26:33Z","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":"We introduce new broadcast and receive communicability indices that can be used as global measures of how effectively information is spread in a directed network. Furthermore, we describe fast and effective criteria for the selection of edges to be added to (or deleted from) a given directed network so as to enhance these network communicability measures. Numerical experiments illustrate the effectiveness of the proposed techniques.","authors_text":"Francesca Arrigo, Michele Benzi","cross_cats":["math.NA","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2015-08-05T12:48:21Z","title":"Edge modification criteria for enhancing the communicability of digraphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.01056","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:ab3206df1a7162d71db2056942a34e087f7d9e468803ac143b4630d8eff8f27f","target":"record","created_at":"2026-05-18T01:26:33Z","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":"6097ba4c85bb771d00db3c0696ccbdc4e813f37fa34cfcd360b6014b99918eed","cross_cats_sorted":["math.NA","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2015-08-05T12:48:21Z","title_canon_sha256":"de3c5aa92beec743678f6f1885faf03112063d867f7c7345788509da2d293248"},"schema_version":"1.0","source":{"id":"1508.01056","kind":"arxiv","version":2}},"canonical_sha256":"80e823fbb0ab701079957fefbc39dc110f4686edfa5ea052a565ff88a06be490","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80e823fbb0ab701079957fefbc39dc110f4686edfa5ea052a565ff88a06be490","first_computed_at":"2026-05-18T01:26:33.835014Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:33.835014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dva/sw8BEU06xNKUS9ReGo8pB5EKWv0SHRK4O9mOX02asJG0Ih7Cu/pdkgq4qKzJct1RUzWeOpBCjx2Fd3jAAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:33.835719Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.01056","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab3206df1a7162d71db2056942a34e087f7d9e468803ac143b4630d8eff8f27f","sha256:ba84e4f071fa3e8b10b724fe4b7b85874613f77f4a993bdd7e1f192d72804c6b"],"state_sha256":"ca49d7d0fca00709d510f9b9fc556e930a1c9e3458b15178c886efaf4f0391c8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wHD5hgNwKTmsPMj9tzAz/kGlWBBXAlm85rxXuVnpSlx4sPb/P/Y3xNxlL+Duapc17OPsh3k9R2FhFWe1e1D3Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T22:00:07.540223Z","bundle_sha256":"2fe51e43b080e9a4dd7ce80a4da63a5bf36a39cfa47b22898afa54a29086a3a6"}}