{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:6IAP6FURGDOW3XVVBYVRQJ24TF","short_pith_number":"pith:6IAP6FUR","canonical_record":{"source":{"id":"1206.2728","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-06-13T06:48:42Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"9ce6df258f1722de18e08bd75760fa8930f042ddee12737f9cf33b7f8926d0ef","abstract_canon_sha256":"d91047a05dba01ef84d32064d4cd34a33469b500ce77cf69fbac56cf9ade3e50"},"schema_version":"1.0"},"canonical_sha256":"f200ff169130dd6ddeb50e2b18275c996be17d289a6aa21e7a6ea39fddf041ac","source":{"kind":"arxiv","id":"1206.2728","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.2728","created_at":"2026-05-18T03:53:31Z"},{"alias_kind":"arxiv_version","alias_value":"1206.2728v2","created_at":"2026-05-18T03:53:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.2728","created_at":"2026-05-18T03:53:31Z"},{"alias_kind":"pith_short_12","alias_value":"6IAP6FURGDOW","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6IAP6FURGDOW3XVV","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6IAP6FUR","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:6IAP6FURGDOW3XVVBYVRQJ24TF","target":"record","payload":{"canonical_record":{"source":{"id":"1206.2728","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-06-13T06:48:42Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"9ce6df258f1722de18e08bd75760fa8930f042ddee12737f9cf33b7f8926d0ef","abstract_canon_sha256":"d91047a05dba01ef84d32064d4cd34a33469b500ce77cf69fbac56cf9ade3e50"},"schema_version":"1.0"},"canonical_sha256":"f200ff169130dd6ddeb50e2b18275c996be17d289a6aa21e7a6ea39fddf041ac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:53:31.227473Z","signature_b64":"CwpArQSNxp1mYQ15ya5tNb7dT54ufdwY7fU04rlKZBSboEDFoTsaPcU9KsuGLD/nnzhsmXkg4CAeMJ0hGAEkAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f200ff169130dd6ddeb50e2b18275c996be17d289a6aa21e7a6ea39fddf041ac","last_reissued_at":"2026-05-18T03:53:31.226810Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:53:31.226810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.2728","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:53:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aeZV2oIr5LO91GOIwcgy4Bmmf6YXs9QEH7pfGnUPhNW26SQOlc9BAX7d9PgpIAo0LoJ/mxezz+VUzPnKHV2HAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T14:55:39.375902Z"},"content_sha256":"bfd4b2025a25fc8fe07f66f7419676f92ea90ddb46909cc71626e38479991974","schema_version":"1.0","event_id":"sha256:bfd4b2025a25fc8fe07f66f7419676f92ea90ddb46909cc71626e38479991974"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:6IAP6FURGDOW3XVVBYVRQJ24TF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effect of Closed Paths in Complex networks on Six Degrees of Separation and Disorder","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"Norihito Toyota","submitted_at":"2012-06-13T06:48:42Z","abstract_excerpt":"Milgram Condition proposed by Aoyama et al. plays an important role on the analysis of \"six degrees of separation\". We have shown that the relations between Milgram condition and the generalized clustering coefficient, which was introduced as an index for measuring the number of closed paths by us, are absolutely different in scale free networks (Barabasi and Albert) and small world networks (Watts and Strogatz, Watts). This fact implies that the effect of closed paths on information propagation is different in both networks. In this article, we first investigate the difference and pursuit wha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.2728","kind":"arxiv","version":2},"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":"2026-05-18T03:53:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SoLPs+0N4uOS2KzpIrE3FsXalbjF+44QIY44IgUDVYnGgm6rk8XebKSfyy12WlPcZCH0qo1LGW69EjU5hnQrDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T14:55:39.376244Z"},"content_sha256":"85b95f69c6bb01033658db9aedad31f36926f958fcd99db971f2e47c99a5d506","schema_version":"1.0","event_id":"sha256:85b95f69c6bb01033658db9aedad31f36926f958fcd99db971f2e47c99a5d506"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6IAP6FURGDOW3XVVBYVRQJ24TF/bundle.json","state_url":"https://pith.science/pith/6IAP6FURGDOW3XVVBYVRQJ24TF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6IAP6FURGDOW3XVVBYVRQJ24TF/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":"2026-06-27T14:55:39Z","links":{"resolver":"https://pith.science/pith/6IAP6FURGDOW3XVVBYVRQJ24TF","bundle":"https://pith.science/pith/6IAP6FURGDOW3XVVBYVRQJ24TF/bundle.json","state":"https://pith.science/pith/6IAP6FURGDOW3XVVBYVRQJ24TF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6IAP6FURGDOW3XVVBYVRQJ24TF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:6IAP6FURGDOW3XVVBYVRQJ24TF","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":"d91047a05dba01ef84d32064d4cd34a33469b500ce77cf69fbac56cf9ade3e50","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-06-13T06:48:42Z","title_canon_sha256":"9ce6df258f1722de18e08bd75760fa8930f042ddee12737f9cf33b7f8926d0ef"},"schema_version":"1.0","source":{"id":"1206.2728","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.2728","created_at":"2026-05-18T03:53:31Z"},{"alias_kind":"arxiv_version","alias_value":"1206.2728v2","created_at":"2026-05-18T03:53:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.2728","created_at":"2026-05-18T03:53:31Z"},{"alias_kind":"pith_short_12","alias_value":"6IAP6FURGDOW","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6IAP6FURGDOW3XVV","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6IAP6FUR","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:85b95f69c6bb01033658db9aedad31f36926f958fcd99db971f2e47c99a5d506","target":"graph","created_at":"2026-05-18T03:53:31Z","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":"Milgram Condition proposed by Aoyama et al. plays an important role on the analysis of \"six degrees of separation\". We have shown that the relations between Milgram condition and the generalized clustering coefficient, which was introduced as an index for measuring the number of closed paths by us, are absolutely different in scale free networks (Barabasi and Albert) and small world networks (Watts and Strogatz, Watts). This fact implies that the effect of closed paths on information propagation is different in both networks. In this article, we first investigate the difference and pursuit wha","authors_text":"Norihito Toyota","cross_cats":["cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-06-13T06:48:42Z","title":"Effect of Closed Paths in Complex networks on Six Degrees of Separation and Disorder"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.2728","kind":"arxiv","version":2},"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:bfd4b2025a25fc8fe07f66f7419676f92ea90ddb46909cc71626e38479991974","target":"record","created_at":"2026-05-18T03:53:31Z","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":"d91047a05dba01ef84d32064d4cd34a33469b500ce77cf69fbac56cf9ade3e50","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-06-13T06:48:42Z","title_canon_sha256":"9ce6df258f1722de18e08bd75760fa8930f042ddee12737f9cf33b7f8926d0ef"},"schema_version":"1.0","source":{"id":"1206.2728","kind":"arxiv","version":2}},"canonical_sha256":"f200ff169130dd6ddeb50e2b18275c996be17d289a6aa21e7a6ea39fddf041ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f200ff169130dd6ddeb50e2b18275c996be17d289a6aa21e7a6ea39fddf041ac","first_computed_at":"2026-05-18T03:53:31.226810Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:53:31.226810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CwpArQSNxp1mYQ15ya5tNb7dT54ufdwY7fU04rlKZBSboEDFoTsaPcU9KsuGLD/nnzhsmXkg4CAeMJ0hGAEkAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:53:31.227473Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.2728","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bfd4b2025a25fc8fe07f66f7419676f92ea90ddb46909cc71626e38479991974","sha256:85b95f69c6bb01033658db9aedad31f36926f958fcd99db971f2e47c99a5d506"],"state_sha256":"480cfeb9eab17a0168f1444f23da07e16b5277f0e06c75e89b073deb2ad3540f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6Y8s8t7rP5tm/kzsXoVBAwYvYMc0D+YY1jDWJHAKB2CyklgPmGGR/igjebv+vP9qfKkZTI5B0W6FCeUKiuyzDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T14:55:39.378108Z","bundle_sha256":"e7b6ae145276fb9c15186f0bd0b78ac98a96db244d64b09a9f04a3472fb8c074"}}