{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:TRJILJOGWKRY4PLXDQUXH7CWLQ","short_pith_number":"pith:TRJILJOG","canonical_record":{"source":{"id":"1510.08106","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-10-27T21:50:45Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"01b1079579ae6ad32822fe4041e8bdc54e59ad411388d0ae5a6227a263dd9f42","abstract_canon_sha256":"53e80b74ca2972caca69d7511c38652fc4e8395e2ebba8b410ff274de2681893"},"schema_version":"1.0"},"canonical_sha256":"9c5285a5c6b2a38e3d771c2973fc565c1c93503c92fa533d19b304bd1de4098c","source":{"kind":"arxiv","id":"1510.08106","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.08106","created_at":"2026-05-18T01:18:42Z"},{"alias_kind":"arxiv_version","alias_value":"1510.08106v3","created_at":"2026-05-18T01:18:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.08106","created_at":"2026-05-18T01:18:42Z"},{"alias_kind":"pith_short_12","alias_value":"TRJILJOGWKRY","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"TRJILJOGWKRY4PLX","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"TRJILJOG","created_at":"2026-05-18T12:29:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:TRJILJOGWKRY4PLXDQUXH7CWLQ","target":"record","payload":{"canonical_record":{"source":{"id":"1510.08106","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-10-27T21:50:45Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"01b1079579ae6ad32822fe4041e8bdc54e59ad411388d0ae5a6227a263dd9f42","abstract_canon_sha256":"53e80b74ca2972caca69d7511c38652fc4e8395e2ebba8b410ff274de2681893"},"schema_version":"1.0"},"canonical_sha256":"9c5285a5c6b2a38e3d771c2973fc565c1c93503c92fa533d19b304bd1de4098c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:42.072865Z","signature_b64":"MDroh9gTxtFoK149IYR1nAMwuBrV2nD1qWmX1yyfckwwJbOKVzsFu/TscCpVqj2VgE6PH/0Vnx4ymeDDmytTBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c5285a5c6b2a38e3d771c2973fc565c1c93503c92fa533d19b304bd1de4098c","last_reissued_at":"2026-05-18T01:18:42.072240Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:42.072240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.08106","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":"2026-05-18T01:18:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qds7VKGiyPU90/RbjXHyO3+2ual3sKTR1aEgSk4yPPvq0xkMSDh9i46rZBiHH3ab/O+GiXUj5Hh06dBhseFEBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T10:11:32.405971Z"},"content_sha256":"9e6febfbe9afde23a12f83294f557190a159f256481650b8cc69c269d9b60320","schema_version":"1.0","event_id":"sha256:9e6febfbe9afde23a12f83294f557190a159f256481650b8cc69c269d9b60320"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:TRJILJOGWKRY4PLXDQUXH7CWLQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Growth and Containment of a Hierarchical Criminal Network","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"Andrea L. Bertozzi, Charles Z. Marshak, Maria R. D'Orsogna, M. Puck Rombach","submitted_at":"2015-10-27T21:50:45Z","abstract_excerpt":"We model the hierarchical evolution of an organized criminal network via antagonistic recruitment and pursuit processes. Within the recruitment phase, a criminal kingpin enlists new members into the network, who in turn seek out other affiliates. New recruits are linked to established criminals according to a probability distribution that depends on the current network structure. At the same time, law enforcement agents attempt to dismantle the growing organization using pursuit strategies that initiate on the lower level nodes and that unfold as self-avoiding random walks. The global details "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.08106","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":"2026-05-18T01:18:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QC3mCMPuuXgmkDB/ByetGXBEEVHg/5ARSuftpbb8pHJiW6LZAwf+bhHPpE49O0Zryk9R9qRvvzANgmr7ytKZAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T10:11:32.406336Z"},"content_sha256":"e47684e6f71e54294c42c6d4399d4baf4e06050c0e1805d65629bf68d36c8eb7","schema_version":"1.0","event_id":"sha256:e47684e6f71e54294c42c6d4399d4baf4e06050c0e1805d65629bf68d36c8eb7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TRJILJOGWKRY4PLXDQUXH7CWLQ/bundle.json","state_url":"https://pith.science/pith/TRJILJOGWKRY4PLXDQUXH7CWLQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TRJILJOGWKRY4PLXDQUXH7CWLQ/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":"2026-06-03T10:11:32Z","links":{"resolver":"https://pith.science/pith/TRJILJOGWKRY4PLXDQUXH7CWLQ","bundle":"https://pith.science/pith/TRJILJOGWKRY4PLXDQUXH7CWLQ/bundle.json","state":"https://pith.science/pith/TRJILJOGWKRY4PLXDQUXH7CWLQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TRJILJOGWKRY4PLXDQUXH7CWLQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:TRJILJOGWKRY4PLXDQUXH7CWLQ","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":"53e80b74ca2972caca69d7511c38652fc4e8395e2ebba8b410ff274de2681893","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-10-27T21:50:45Z","title_canon_sha256":"01b1079579ae6ad32822fe4041e8bdc54e59ad411388d0ae5a6227a263dd9f42"},"schema_version":"1.0","source":{"id":"1510.08106","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.08106","created_at":"2026-05-18T01:18:42Z"},{"alias_kind":"arxiv_version","alias_value":"1510.08106v3","created_at":"2026-05-18T01:18:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.08106","created_at":"2026-05-18T01:18:42Z"},{"alias_kind":"pith_short_12","alias_value":"TRJILJOGWKRY","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"TRJILJOGWKRY4PLX","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"TRJILJOG","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:e47684e6f71e54294c42c6d4399d4baf4e06050c0e1805d65629bf68d36c8eb7","target":"graph","created_at":"2026-05-18T01:18:42Z","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 model the hierarchical evolution of an organized criminal network via antagonistic recruitment and pursuit processes. Within the recruitment phase, a criminal kingpin enlists new members into the network, who in turn seek out other affiliates. New recruits are linked to established criminals according to a probability distribution that depends on the current network structure. At the same time, law enforcement agents attempt to dismantle the growing organization using pursuit strategies that initiate on the lower level nodes and that unfold as self-avoiding random walks. The global details ","authors_text":"Andrea L. Bertozzi, Charles Z. Marshak, Maria R. D'Orsogna, M. Puck Rombach","cross_cats":["cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-10-27T21:50:45Z","title":"Growth and Containment of a Hierarchical Criminal Network"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.08106","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":"sha256:9e6febfbe9afde23a12f83294f557190a159f256481650b8cc69c269d9b60320","target":"record","created_at":"2026-05-18T01:18:42Z","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":"53e80b74ca2972caca69d7511c38652fc4e8395e2ebba8b410ff274de2681893","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-10-27T21:50:45Z","title_canon_sha256":"01b1079579ae6ad32822fe4041e8bdc54e59ad411388d0ae5a6227a263dd9f42"},"schema_version":"1.0","source":{"id":"1510.08106","kind":"arxiv","version":3}},"canonical_sha256":"9c5285a5c6b2a38e3d771c2973fc565c1c93503c92fa533d19b304bd1de4098c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c5285a5c6b2a38e3d771c2973fc565c1c93503c92fa533d19b304bd1de4098c","first_computed_at":"2026-05-18T01:18:42.072240Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:42.072240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MDroh9gTxtFoK149IYR1nAMwuBrV2nD1qWmX1yyfckwwJbOKVzsFu/TscCpVqj2VgE6PH/0Vnx4ymeDDmytTBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:42.072865Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.08106","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e6febfbe9afde23a12f83294f557190a159f256481650b8cc69c269d9b60320","sha256:e47684e6f71e54294c42c6d4399d4baf4e06050c0e1805d65629bf68d36c8eb7"],"state_sha256":"3fb6bb69773469a12dde86ce3906b19e40a2929f290fde1a7d14444d38e573a8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y12mpQv8d9IB47fP5UlRXwUu2FSFfiK+GZ1BGJ2ENQv3ue2eDG4LawzNIccxwGU8WZM3CDBntD8foyQ6/kxeBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T10:11:32.408245Z","bundle_sha256":"cc3a7aace5741c713930a3982979f958e643725c9ab23f1350183b68fd467b78"}}