{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:7KAAD4PFLLZW4ZZ6ZR5J7BBDDM","short_pith_number":"pith:7KAAD4PF","canonical_record":{"source":{"id":"1305.7480","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-05-31T16:32:49Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"396e67be5d895ec8644f062cf9a4680d92546d97c0f195a9cfdc70aa6878c003","abstract_canon_sha256":"b82250383d2483f7179f6b480b5b3f621d82d3281079ef8a7c6f8803ab6e3421"},"schema_version":"1.0"},"canonical_sha256":"fa8001f1e55af36e673ecc7a9f84231b23ff02130c2c3f042626bcc90fa02d9c","source":{"kind":"arxiv","id":"1305.7480","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.7480","created_at":"2026-05-18T01:49:39Z"},{"alias_kind":"arxiv_version","alias_value":"1305.7480v1","created_at":"2026-05-18T01:49:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.7480","created_at":"2026-05-18T01:49:39Z"},{"alias_kind":"pith_short_12","alias_value":"7KAAD4PFLLZW","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7KAAD4PFLLZW4ZZ6","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7KAAD4PF","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:7KAAD4PFLLZW4ZZ6ZR5J7BBDDM","target":"record","payload":{"canonical_record":{"source":{"id":"1305.7480","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-05-31T16:32:49Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"396e67be5d895ec8644f062cf9a4680d92546d97c0f195a9cfdc70aa6878c003","abstract_canon_sha256":"b82250383d2483f7179f6b480b5b3f621d82d3281079ef8a7c6f8803ab6e3421"},"schema_version":"1.0"},"canonical_sha256":"fa8001f1e55af36e673ecc7a9f84231b23ff02130c2c3f042626bcc90fa02d9c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:39.044223Z","signature_b64":"wIwswDqR+pgYz7zrELIsnM6p6Kmpzrq/LjvGFjlWSUBdmyFZwWtHeaRvRu8Qh4xd1FycngT/mCemaDOEfwBtBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa8001f1e55af36e673ecc7a9f84231b23ff02130c2c3f042626bcc90fa02d9c","last_reissued_at":"2026-05-18T01:49:39.043804Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:39.043804Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.7480","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:49:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hLUNQp1eNIVqBGjBx7hBRZ8bJT9pnNTarQLCI+MRBpUJe8LMoLmVOkzIHXXNRzXfuGTIVxNObMY663ySZ4u+DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T04:10:47.240426Z"},"content_sha256":"e96d04c10552bd9ee6fa2556932c252b154a46b551a9717dcbc2a0ff676afeed","schema_version":"1.0","event_id":"sha256:e96d04c10552bd9ee6fa2556932c252b154a46b551a9717dcbc2a0ff676afeed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:7KAAD4PFLLZW4ZZ6ZR5J7BBDDM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Path diversity improves the identification of influential spreaders","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"An Zeng, Duan-Bing Chen, Rui Xiao, Yi-Cheng Zhang","submitted_at":"2013-05-31T16:32:49Z","abstract_excerpt":"Identifying influential spreaders in complex networks is a crucial problem which relates to wide applications. Many methods based on the global information such as $k$-shell and PageRank have been applied to rank spreaders. However, most of related previous works overwhelmingly focus on the number of paths for propagation, while whether the paths are diverse enough is usually overlooked. Generally, the spreading ability of a node might not be strong if its propagation depends on one or two paths while the other paths are dead ends. In this Letter, we introduced the concept of path diversity an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.7480","kind":"arxiv","version":1},"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":"2026-05-18T01:49:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/miMJnb66gjxMpFyBcPxjd7lPutIBEQy+hrXp2oJnEiqMbKRn4zWi/tyN/m96o9GQv5I8Y0iLuTwObCadV0NCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T04:10:47.241095Z"},"content_sha256":"9ed644b49ffecce3d608dee4fed86b32270fd9f58460423549b2d6ba6a3d2466","schema_version":"1.0","event_id":"sha256:9ed644b49ffecce3d608dee4fed86b32270fd9f58460423549b2d6ba6a3d2466"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7KAAD4PFLLZW4ZZ6ZR5J7BBDDM/bundle.json","state_url":"https://pith.science/pith/7KAAD4PFLLZW4ZZ6ZR5J7BBDDM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7KAAD4PFLLZW4ZZ6ZR5J7BBDDM/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":"2026-05-24T04:10:47Z","links":{"resolver":"https://pith.science/pith/7KAAD4PFLLZW4ZZ6ZR5J7BBDDM","bundle":"https://pith.science/pith/7KAAD4PFLLZW4ZZ6ZR5J7BBDDM/bundle.json","state":"https://pith.science/pith/7KAAD4PFLLZW4ZZ6ZR5J7BBDDM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7KAAD4PFLLZW4ZZ6ZR5J7BBDDM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7KAAD4PFLLZW4ZZ6ZR5J7BBDDM","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":"b82250383d2483f7179f6b480b5b3f621d82d3281079ef8a7c6f8803ab6e3421","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-05-31T16:32:49Z","title_canon_sha256":"396e67be5d895ec8644f062cf9a4680d92546d97c0f195a9cfdc70aa6878c003"},"schema_version":"1.0","source":{"id":"1305.7480","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.7480","created_at":"2026-05-18T01:49:39Z"},{"alias_kind":"arxiv_version","alias_value":"1305.7480v1","created_at":"2026-05-18T01:49:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.7480","created_at":"2026-05-18T01:49:39Z"},{"alias_kind":"pith_short_12","alias_value":"7KAAD4PFLLZW","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7KAAD4PFLLZW4ZZ6","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7KAAD4PF","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:9ed644b49ffecce3d608dee4fed86b32270fd9f58460423549b2d6ba6a3d2466","target":"graph","created_at":"2026-05-18T01:49:39Z","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":"Identifying influential spreaders in complex networks is a crucial problem which relates to wide applications. Many methods based on the global information such as $k$-shell and PageRank have been applied to rank spreaders. However, most of related previous works overwhelmingly focus on the number of paths for propagation, while whether the paths are diverse enough is usually overlooked. Generally, the spreading ability of a node might not be strong if its propagation depends on one or two paths while the other paths are dead ends. In this Letter, we introduced the concept of path diversity an","authors_text":"An Zeng, Duan-Bing Chen, Rui Xiao, Yi-Cheng Zhang","cross_cats":["cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-05-31T16:32:49Z","title":"Path diversity improves the identification of influential spreaders"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.7480","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:e96d04c10552bd9ee6fa2556932c252b154a46b551a9717dcbc2a0ff676afeed","target":"record","created_at":"2026-05-18T01:49:39Z","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":"b82250383d2483f7179f6b480b5b3f621d82d3281079ef8a7c6f8803ab6e3421","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-05-31T16:32:49Z","title_canon_sha256":"396e67be5d895ec8644f062cf9a4680d92546d97c0f195a9cfdc70aa6878c003"},"schema_version":"1.0","source":{"id":"1305.7480","kind":"arxiv","version":1}},"canonical_sha256":"fa8001f1e55af36e673ecc7a9f84231b23ff02130c2c3f042626bcc90fa02d9c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa8001f1e55af36e673ecc7a9f84231b23ff02130c2c3f042626bcc90fa02d9c","first_computed_at":"2026-05-18T01:49:39.043804Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:39.043804Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wIwswDqR+pgYz7zrELIsnM6p6Kmpzrq/LjvGFjlWSUBdmyFZwWtHeaRvRu8Qh4xd1FycngT/mCemaDOEfwBtBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:39.044223Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.7480","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e96d04c10552bd9ee6fa2556932c252b154a46b551a9717dcbc2a0ff676afeed","sha256:9ed644b49ffecce3d608dee4fed86b32270fd9f58460423549b2d6ba6a3d2466"],"state_sha256":"68a28cf10f9e65115a4e121dcbdd4ca69d8cd61cbb2f81c56b74ac5937fc05af"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vR+9qBI1aJJaItmpL0CRgGKI9+mYKkaOvgNPRVWYNTQRJ5x3jcYyuPtuEx5VzaMyWnOTERoB9qTQYqryvWq7AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T04:10:47.259017Z","bundle_sha256":"a4456f50f15f750acaabb1290b0041009e967888797ee5af8b6bc764c0774752"}}