{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:HMO5BBN2QCJDS4EXUWV7TRY36M","short_pith_number":"pith:HMO5BBN2","canonical_record":{"source":{"id":"1008.4073","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-08-24T15:54:24Z","cross_cats_sorted":["physics.soc-ph"],"title_canon_sha256":"eb3851d98298fe954d4928f9510056f7759f784a4badc5a9476a5a42c4b47993","abstract_canon_sha256":"6c8302a06503e062de12ec335e2b9efb980fe2bdcdd333db57764a3e9c2d18d4"},"schema_version":"1.0"},"canonical_sha256":"3b1dd085ba8092397097a5abf9c71bf31c87cba7a34f01352016bd33f6f2f255","source":{"kind":"arxiv","id":"1008.4073","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.4073","created_at":"2026-05-18T04:41:54Z"},{"alias_kind":"arxiv_version","alias_value":"1008.4073v1","created_at":"2026-05-18T04:41:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4073","created_at":"2026-05-18T04:41:54Z"},{"alias_kind":"pith_short_12","alias_value":"HMO5BBN2QCJD","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HMO5BBN2QCJDS4EX","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HMO5BBN2","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:HMO5BBN2QCJDS4EXUWV7TRY36M","target":"record","payload":{"canonical_record":{"source":{"id":"1008.4073","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-08-24T15:54:24Z","cross_cats_sorted":["physics.soc-ph"],"title_canon_sha256":"eb3851d98298fe954d4928f9510056f7759f784a4badc5a9476a5a42c4b47993","abstract_canon_sha256":"6c8302a06503e062de12ec335e2b9efb980fe2bdcdd333db57764a3e9c2d18d4"},"schema_version":"1.0"},"canonical_sha256":"3b1dd085ba8092397097a5abf9c71bf31c87cba7a34f01352016bd33f6f2f255","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:41:54.207053Z","signature_b64":"zQgkhPMjnBdaRMQjbj0DcTyh7+vMOyz85yyd/CAmh1z1OJAJ4hja74trQwGlK6/GgvaXFmIKTMjUmRv7kjIHDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b1dd085ba8092397097a5abf9c71bf31c87cba7a34f01352016bd33f6f2f255","last_reissued_at":"2026-05-18T04:41:54.206391Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:41:54.206391Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.4073","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":"2026-05-18T04:41:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n5lA5DoqlOP8tYy3JgpsoO1YNgVGKGpWjvJ28Kd1HekLykh2hmKRQ5/UGxxSy7LWPDqYuwrz8o89PJO34NdUDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T22:01:44.510358Z"},"content_sha256":"83acfeac73ae95641774fde1209aea1a2ee0ddf2ff43ee64b68d0d77be57beec","schema_version":"1.0","event_id":"sha256:83acfeac73ae95641774fde1209aea1a2ee0ddf2ff43ee64b68d0d77be57beec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:HMO5BBN2QCJDS4EXUWV7TRY36M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Detection Implicit Links and G-betweenness","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph"],"primary_cat":"cond-mat.dis-nn","authors_text":"A.A. Snarskii, D.V. Lande, M.I. Zhenirovskyy","submitted_at":"2010-08-24T15:54:24Z","abstract_excerpt":"A concept of implicit links for Complex Networks has been defined and a new value - cohesion factor, which allows to evaluate numerically the presence of such connection between any two nodes, has been introduced. We introduce a generalization of such characteristics as the betweenness, which allows to rank network nodes in more details. The effectiveness of the proposed concepts is shown by the numerical examples."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4073","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":"2026-05-18T04:41:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dPtdKVjRVYRoHDauINag+741hd0TlbH/u7gvd6SkBeqsPCBLL3rV+AQ12fzxEq0HdCVrPctcISxrysbkKiruAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T22:01:44.510733Z"},"content_sha256":"333aabb028b3dfc5ea738cf7a3eaa49917080fa18a35af042e3492f12c9e87dd","schema_version":"1.0","event_id":"sha256:333aabb028b3dfc5ea738cf7a3eaa49917080fa18a35af042e3492f12c9e87dd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HMO5BBN2QCJDS4EXUWV7TRY36M/bundle.json","state_url":"https://pith.science/pith/HMO5BBN2QCJDS4EXUWV7TRY36M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HMO5BBN2QCJDS4EXUWV7TRY36M/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":"2026-06-02T22:01:44Z","links":{"resolver":"https://pith.science/pith/HMO5BBN2QCJDS4EXUWV7TRY36M","bundle":"https://pith.science/pith/HMO5BBN2QCJDS4EXUWV7TRY36M/bundle.json","state":"https://pith.science/pith/HMO5BBN2QCJDS4EXUWV7TRY36M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HMO5BBN2QCJDS4EXUWV7TRY36M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:HMO5BBN2QCJDS4EXUWV7TRY36M","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":"6c8302a06503e062de12ec335e2b9efb980fe2bdcdd333db57764a3e9c2d18d4","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-08-24T15:54:24Z","title_canon_sha256":"eb3851d98298fe954d4928f9510056f7759f784a4badc5a9476a5a42c4b47993"},"schema_version":"1.0","source":{"id":"1008.4073","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.4073","created_at":"2026-05-18T04:41:54Z"},{"alias_kind":"arxiv_version","alias_value":"1008.4073v1","created_at":"2026-05-18T04:41:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4073","created_at":"2026-05-18T04:41:54Z"},{"alias_kind":"pith_short_12","alias_value":"HMO5BBN2QCJD","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HMO5BBN2QCJDS4EX","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HMO5BBN2","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:333aabb028b3dfc5ea738cf7a3eaa49917080fa18a35af042e3492f12c9e87dd","target":"graph","created_at":"2026-05-18T04:41:54Z","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":"A concept of implicit links for Complex Networks has been defined and a new value - cohesion factor, which allows to evaluate numerically the presence of such connection between any two nodes, has been introduced. We introduce a generalization of such characteristics as the betweenness, which allows to rank network nodes in more details. The effectiveness of the proposed concepts is shown by the numerical examples.","authors_text":"A.A. Snarskii, D.V. Lande, M.I. Zhenirovskyy","cross_cats":["physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-08-24T15:54:24Z","title":"Detection Implicit Links and G-betweenness"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4073","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":"sha256:83acfeac73ae95641774fde1209aea1a2ee0ddf2ff43ee64b68d0d77be57beec","target":"record","created_at":"2026-05-18T04:41:54Z","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":"6c8302a06503e062de12ec335e2b9efb980fe2bdcdd333db57764a3e9c2d18d4","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-08-24T15:54:24Z","title_canon_sha256":"eb3851d98298fe954d4928f9510056f7759f784a4badc5a9476a5a42c4b47993"},"schema_version":"1.0","source":{"id":"1008.4073","kind":"arxiv","version":1}},"canonical_sha256":"3b1dd085ba8092397097a5abf9c71bf31c87cba7a34f01352016bd33f6f2f255","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b1dd085ba8092397097a5abf9c71bf31c87cba7a34f01352016bd33f6f2f255","first_computed_at":"2026-05-18T04:41:54.206391Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:41:54.206391Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zQgkhPMjnBdaRMQjbj0DcTyh7+vMOyz85yyd/CAmh1z1OJAJ4hja74trQwGlK6/GgvaXFmIKTMjUmRv7kjIHDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:41:54.207053Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.4073","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83acfeac73ae95641774fde1209aea1a2ee0ddf2ff43ee64b68d0d77be57beec","sha256:333aabb028b3dfc5ea738cf7a3eaa49917080fa18a35af042e3492f12c9e87dd"],"state_sha256":"7bfb8eea90d0357ab771721551492659bd1a6cfc2200ab3043a4623c7498eca5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"js1+6qy01nSUJJx2GrjwIvjv6pqVz2LbhAk3vaiKdhB0SmxCQNBQtxTT3P8857OkiYIJ2gwbL3lJlkis2xBlAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T22:01:44.512627Z","bundle_sha256":"dfecfff12f1f861a424739855738cccac0c2481271b68b5f281fc849470843f9"}}