{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:3NCKF5BWLIACPSNAA5CSSI2FQY","short_pith_number":"pith:3NCKF5BW","canonical_record":{"source":{"id":"1111.4729","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2011-11-21T04:53:57Z","cross_cats_sorted":["cs.DM","physics.soc-ph"],"title_canon_sha256":"acee4c3f3fd765b70e7cc831dc0f2f30749a23782e531e2146ce19b14ff66f2e","abstract_canon_sha256":"5d652028941f27bb19e174e913a21dc1129186a94b4201c3b2f9bf8cc9545b57"},"schema_version":"1.0"},"canonical_sha256":"db44a2f4365a0027c9a007452923458630135011be41b69c91e1048d341954f5","source":{"kind":"arxiv","id":"1111.4729","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.4729","created_at":"2026-05-18T03:39:29Z"},{"alias_kind":"arxiv_version","alias_value":"1111.4729v3","created_at":"2026-05-18T03:39:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4729","created_at":"2026-05-18T03:39:29Z"},{"alias_kind":"pith_short_12","alias_value":"3NCKF5BWLIAC","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"3NCKF5BWLIACPSNA","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"3NCKF5BW","created_at":"2026-05-18T12:26:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:3NCKF5BWLIACPSNAA5CSSI2FQY","target":"record","payload":{"canonical_record":{"source":{"id":"1111.4729","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2011-11-21T04:53:57Z","cross_cats_sorted":["cs.DM","physics.soc-ph"],"title_canon_sha256":"acee4c3f3fd765b70e7cc831dc0f2f30749a23782e531e2146ce19b14ff66f2e","abstract_canon_sha256":"5d652028941f27bb19e174e913a21dc1129186a94b4201c3b2f9bf8cc9545b57"},"schema_version":"1.0"},"canonical_sha256":"db44a2f4365a0027c9a007452923458630135011be41b69c91e1048d341954f5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:39:29.103419Z","signature_b64":"10fgTSYotJOGdVhoZ8KJRT3nppehrawOxF89hrwn4g+1emAtKNn27yG8+KrGUaTozoDFaTxib+ibsJIYS0fyBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db44a2f4365a0027c9a007452923458630135011be41b69c91e1048d341954f5","last_reissued_at":"2026-05-18T03:39:29.102676Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:39:29.102676Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.4729","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":"2026-05-18T03:39:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wTZGajK9wZ2JQDY6JJDp95qTBmr1imwRphMeefwD229kMeniOpagnqJdlfByDNXvSV3SV6QqRo01GS3mcWb5Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T14:58:25.401066Z"},"content_sha256":"30b3e9b6bd9f661629b8c8d762db1655efae077efcb8b2fda5a8a86518a3a239","schema_version":"1.0","event_id":"sha256:30b3e9b6bd9f661629b8c8d762db1655efae077efcb8b2fda5a8a86518a3a239"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:3NCKF5BWLIACPSNAA5CSSI2FQY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Influence Diffusion Dynamics and Influence Maximization in Social Networks with Friend and Foe Relationships","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM","physics.soc-ph"],"primary_cat":"cs.SI","authors_text":"Wei Chen, Yajun Wang, Yanhua Li, Zhi-Li Zhang","submitted_at":"2011-11-21T04:53:57Z","abstract_excerpt":"Influence diffusion and influence maximization in large-scale online social networks (OSNs) have been extensively studied, because of their impacts on enabling effective online viral marketing. Existing studies focus on social networks with only friendship relations, whereas the foe or enemy relations that commonly exist in many OSNs, e.g., Epinions and Slashdot, are completely ignored. In this paper, we make the first attempt to investigate the influence diffusion and influence maximization in OSNs with both friend and foe relations, which are modeled using positive and negative edges on sign"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4729","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":""},"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":"2026-05-18T03:39:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l7YBmn5hr/dhAR/zcGWivs1Hn7bb+k0SbEgEh5j0MezWD8t2ckHTkuHn3pg1AmAe2oi3FB5yAlSi6E+g/IKNBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T14:58:25.401712Z"},"content_sha256":"552cc748613fc51f1a5762c45fd32935a40dcf5715b91cfd92ed781f0bcba2d7","schema_version":"1.0","event_id":"sha256:552cc748613fc51f1a5762c45fd32935a40dcf5715b91cfd92ed781f0bcba2d7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3NCKF5BWLIACPSNAA5CSSI2FQY/bundle.json","state_url":"https://pith.science/pith/3NCKF5BWLIACPSNAA5CSSI2FQY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3NCKF5BWLIACPSNAA5CSSI2FQY/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":"2026-05-26T14:58:25Z","links":{"resolver":"https://pith.science/pith/3NCKF5BWLIACPSNAA5CSSI2FQY","bundle":"https://pith.science/pith/3NCKF5BWLIACPSNAA5CSSI2FQY/bundle.json","state":"https://pith.science/pith/3NCKF5BWLIACPSNAA5CSSI2FQY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3NCKF5BWLIACPSNAA5CSSI2FQY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:3NCKF5BWLIACPSNAA5CSSI2FQY","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":"5d652028941f27bb19e174e913a21dc1129186a94b4201c3b2f9bf8cc9545b57","cross_cats_sorted":["cs.DM","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2011-11-21T04:53:57Z","title_canon_sha256":"acee4c3f3fd765b70e7cc831dc0f2f30749a23782e531e2146ce19b14ff66f2e"},"schema_version":"1.0","source":{"id":"1111.4729","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.4729","created_at":"2026-05-18T03:39:29Z"},{"alias_kind":"arxiv_version","alias_value":"1111.4729v3","created_at":"2026-05-18T03:39:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4729","created_at":"2026-05-18T03:39:29Z"},{"alias_kind":"pith_short_12","alias_value":"3NCKF5BWLIAC","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"3NCKF5BWLIACPSNA","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"3NCKF5BW","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:552cc748613fc51f1a5762c45fd32935a40dcf5715b91cfd92ed781f0bcba2d7","target":"graph","created_at":"2026-05-18T03:39:29Z","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"},"paper":{"abstract_excerpt":"Influence diffusion and influence maximization in large-scale online social networks (OSNs) have been extensively studied, because of their impacts on enabling effective online viral marketing. Existing studies focus on social networks with only friendship relations, whereas the foe or enemy relations that commonly exist in many OSNs, e.g., Epinions and Slashdot, are completely ignored. In this paper, we make the first attempt to investigate the influence diffusion and influence maximization in OSNs with both friend and foe relations, which are modeled using positive and negative edges on sign","authors_text":"Wei Chen, Yajun Wang, Yanhua Li, Zhi-Li Zhang","cross_cats":["cs.DM","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2011-11-21T04:53:57Z","title":"Influence Diffusion Dynamics and Influence Maximization in Social Networks with Friend and Foe Relationships"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4729","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":"sha256:30b3e9b6bd9f661629b8c8d762db1655efae077efcb8b2fda5a8a86518a3a239","target":"record","created_at":"2026-05-18T03:39:29Z","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":"5d652028941f27bb19e174e913a21dc1129186a94b4201c3b2f9bf8cc9545b57","cross_cats_sorted":["cs.DM","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2011-11-21T04:53:57Z","title_canon_sha256":"acee4c3f3fd765b70e7cc831dc0f2f30749a23782e531e2146ce19b14ff66f2e"},"schema_version":"1.0","source":{"id":"1111.4729","kind":"arxiv","version":3}},"canonical_sha256":"db44a2f4365a0027c9a007452923458630135011be41b69c91e1048d341954f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db44a2f4365a0027c9a007452923458630135011be41b69c91e1048d341954f5","first_computed_at":"2026-05-18T03:39:29.102676Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:39:29.102676Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"10fgTSYotJOGdVhoZ8KJRT3nppehrawOxF89hrwn4g+1emAtKNn27yG8+KrGUaTozoDFaTxib+ibsJIYS0fyBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:39:29.103419Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.4729","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:30b3e9b6bd9f661629b8c8d762db1655efae077efcb8b2fda5a8a86518a3a239","sha256:552cc748613fc51f1a5762c45fd32935a40dcf5715b91cfd92ed781f0bcba2d7"],"state_sha256":"be556d4be243dfd0a27d069d58c9371e139838b2f6a65545a565ebbb38e347b5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RbM+Tl37CuMKZE7XLnQK2A7A8jzQ0+JqsSa5c4I5WLZ1CMTZOZz3kbkMfx1LsTMLcDqfCXWXBBoI+EHYY6i9Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T14:58:25.405115Z","bundle_sha256":"3ecbed802f23adc8044170edbb83e7f738d3790682dcc13e0b713a0e02ad6fc6"}}