{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:7LU2WBKWJASZQKR6C53QJDO4GN","short_pith_number":"pith:7LU2WBKW","canonical_record":{"source":{"id":"2510.24360","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.SI","submitted_at":"2025-10-28T12:30:08Z","cross_cats_sorted":[],"title_canon_sha256":"0d26d94dec19ea612b7ece472005c5aae4cf690eed79f20622819caab396099c","abstract_canon_sha256":"72984563a35e60c68dc67caea26f6e7a1920f8438227d42e24b51ff4ab3ba8d6"},"schema_version":"1.0"},"canonical_sha256":"fae9ab05564825982a3e1777048ddc3357e0a9282db27808c392edf7bc9b6969","source":{"kind":"arxiv","id":"2510.24360","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.24360","created_at":"2026-07-28T02:23:19Z"},{"alias_kind":"arxiv_version","alias_value":"2510.24360v3","created_at":"2026-07-28T02:23:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.24360","created_at":"2026-07-28T02:23:19Z"},{"alias_kind":"pith_short_12","alias_value":"7LU2WBKWJASZ","created_at":"2026-07-28T02:23:19Z"},{"alias_kind":"pith_short_16","alias_value":"7LU2WBKWJASZQKR6","created_at":"2026-07-28T02:23:19Z"},{"alias_kind":"pith_short_8","alias_value":"7LU2WBKW","created_at":"2026-07-28T02:23:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:7LU2WBKWJASZQKR6C53QJDO4GN","target":"record","payload":{"canonical_record":{"source":{"id":"2510.24360","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.SI","submitted_at":"2025-10-28T12:30:08Z","cross_cats_sorted":[],"title_canon_sha256":"0d26d94dec19ea612b7ece472005c5aae4cf690eed79f20622819caab396099c","abstract_canon_sha256":"72984563a35e60c68dc67caea26f6e7a1920f8438227d42e24b51ff4ab3ba8d6"},"schema_version":"1.0"},"canonical_sha256":"fae9ab05564825982a3e1777048ddc3357e0a9282db27808c392edf7bc9b6969","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-28T02:23:19.923639Z","signature_b64":"06LqI5+jog3aZMk5311svEIKvuZnBLoVyDdrh3DE4aUGEAWEzxaDMDNRdXrLHCTFNl85xF/ROgoH+6Y7aEuRBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fae9ab05564825982a3e1777048ddc3357e0a9282db27808c392edf7bc9b6969","last_reissued_at":"2026-07-28T02:23:19.922612Z","signature_status":"signed_v1","first_computed_at":"2026-07-28T02:23:19.922612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2510.24360","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-28T02:23:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tECC9KfEOAp8EtnRw0rpaPlmQ0CVQbzK79JIF8bSFSBW7rOuUtXBJRCfES3aE9gue7XuJwd4+JpT9MHweagdAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T05:24:09.547480Z"},"content_sha256":"5bef28b6bdf3caaf83ecc6527841719d2fd05dc989c6f4d091f29bd827ef82dd","schema_version":"1.0","event_id":"sha256:5bef28b6bdf3caaf83ecc6527841719d2fd05dc989c6f4d091f29bd827ef82dd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:7LU2WBKWJASZQKR6C53QJDO4GN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Importance of Overlapping Network Nodes in Influence Spreading","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.SI","authors_text":"Kimmo Kaski, Kosti Koistinen, Vesa Kuikka","submitted_at":"2025-10-28T12:30:08Z","abstract_excerpt":"In complex networks there are overlapping substructures or \"circles\" that consist of nodes belonging to multiple cohesive subgroups. Yet the role of these overlapping nodes in influence spreading processes remains underexplored. In the present study, we analyse networks with circle structures using a probabilistic influence spreading model for processes of simple and complex contagion. We quantify the roles of nodes using three metrics, i.e., In-Centrality, Out-Centrality, and Betweenness Centrality that represent the susceptibility, spreading power, and mediatory role of nodes, respectively, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.24360","kind":"arxiv","version":3},"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/2510.24360/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":"2026-07-28T02:23:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IrW8BxFbt10lFEoB8cKtXPIlfFEc21yH14WLT0W+t4MuKc6qvGhnD5cfJy81WOO/uHrH6S17RUDc5KQSGh0tCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T05:24:09.547992Z"},"content_sha256":"94ad700c5b3b80baacd9519d7b84742fbfe6ae2ff74b795423c592b966ee439a","schema_version":"1.0","event_id":"sha256:94ad700c5b3b80baacd9519d7b84742fbfe6ae2ff74b795423c592b966ee439a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7LU2WBKWJASZQKR6C53QJDO4GN/bundle.json","state_url":"https://pith.science/pith/7LU2WBKWJASZQKR6C53QJDO4GN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7LU2WBKWJASZQKR6C53QJDO4GN/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":"2026-08-16T05:24:09Z","links":{"resolver":"https://pith.science/pith/7LU2WBKWJASZQKR6C53QJDO4GN","bundle":"https://pith.science/pith/7LU2WBKWJASZQKR6C53QJDO4GN/bundle.json","state":"https://pith.science/pith/7LU2WBKWJASZQKR6C53QJDO4GN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7LU2WBKWJASZQKR6C53QJDO4GN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:7LU2WBKWJASZQKR6C53QJDO4GN","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":"72984563a35e60c68dc67caea26f6e7a1920f8438227d42e24b51ff4ab3ba8d6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.SI","submitted_at":"2025-10-28T12:30:08Z","title_canon_sha256":"0d26d94dec19ea612b7ece472005c5aae4cf690eed79f20622819caab396099c"},"schema_version":"1.0","source":{"id":"2510.24360","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.24360","created_at":"2026-07-28T02:23:19Z"},{"alias_kind":"arxiv_version","alias_value":"2510.24360v3","created_at":"2026-07-28T02:23:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.24360","created_at":"2026-07-28T02:23:19Z"},{"alias_kind":"pith_short_12","alias_value":"7LU2WBKWJASZ","created_at":"2026-07-28T02:23:19Z"},{"alias_kind":"pith_short_16","alias_value":"7LU2WBKWJASZQKR6","created_at":"2026-07-28T02:23:19Z"},{"alias_kind":"pith_short_8","alias_value":"7LU2WBKW","created_at":"2026-07-28T02:23:19Z"}],"graph_snapshots":[{"event_id":"sha256:94ad700c5b3b80baacd9519d7b84742fbfe6ae2ff74b795423c592b966ee439a","target":"graph","created_at":"2026-07-28T02:23:19Z","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/2510.24360/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In complex networks there are overlapping substructures or \"circles\" that consist of nodes belonging to multiple cohesive subgroups. Yet the role of these overlapping nodes in influence spreading processes remains underexplored. In the present study, we analyse networks with circle structures using a probabilistic influence spreading model for processes of simple and complex contagion. We quantify the roles of nodes using three metrics, i.e., In-Centrality, Out-Centrality, and Betweenness Centrality that represent the susceptibility, spreading power, and mediatory role of nodes, respectively, ","authors_text":"Kimmo Kaski, Kosti Koistinen, Vesa Kuikka","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.SI","submitted_at":"2025-10-28T12:30:08Z","title":"Importance of Overlapping Network Nodes in Influence Spreading"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.24360","kind":"arxiv","version":3},"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":"sha256:5bef28b6bdf3caaf83ecc6527841719d2fd05dc989c6f4d091f29bd827ef82dd","target":"record","created_at":"2026-07-28T02:23:19Z","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":"72984563a35e60c68dc67caea26f6e7a1920f8438227d42e24b51ff4ab3ba8d6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.SI","submitted_at":"2025-10-28T12:30:08Z","title_canon_sha256":"0d26d94dec19ea612b7ece472005c5aae4cf690eed79f20622819caab396099c"},"schema_version":"1.0","source":{"id":"2510.24360","kind":"arxiv","version":3}},"canonical_sha256":"fae9ab05564825982a3e1777048ddc3357e0a9282db27808c392edf7bc9b6969","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fae9ab05564825982a3e1777048ddc3357e0a9282db27808c392edf7bc9b6969","first_computed_at":"2026-07-28T02:23:19.922612Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-28T02:23:19.922612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"06LqI5+jog3aZMk5311svEIKvuZnBLoVyDdrh3DE4aUGEAWEzxaDMDNRdXrLHCTFNl85xF/ROgoH+6Y7aEuRBg==","signature_status":"signed_v1","signed_at":"2026-07-28T02:23:19.923639Z","signed_message":"canonical_sha256_bytes"},"source_id":"2510.24360","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5bef28b6bdf3caaf83ecc6527841719d2fd05dc989c6f4d091f29bd827ef82dd","sha256:94ad700c5b3b80baacd9519d7b84742fbfe6ae2ff74b795423c592b966ee439a"],"state_sha256":"a2dcc5a3f7de68155d939b36c2e502d303906f5ac75c4b9433176f68390552b3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nvDPp+v3evew4DjjBVRLUlSkCbmJrnKXhpw8ac1RmcCIDr8J+2k6+xj/hVSlFMrCHa5wHGsX3wt5hwF51o52Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T05:24:09.551354Z","bundle_sha256":"e0d18f99ee596137b284761c3cea23b29881800260d35cb6508c1c529161f73e"}}