{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:E6JD3OLNJ4RWWTBLI7GYS4Y5EO","short_pith_number":"pith:E6JD3OLN","canonical_record":{"source":{"id":"1010.2460","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2010-10-12T18:13:38Z","cross_cats_sorted":["cs.SI","physics.data-an"],"title_canon_sha256":"11fa04395562ccde1160085e7db3bb9f786e50193a1ddd52b67b7b844762543b","abstract_canon_sha256":"9bba44e4ba9cac4ca15d94bd0cac030c7340c17e9ddf03fc976aa47d7c60fd92"},"schema_version":"1.0"},"canonical_sha256":"27923db96d4f236b4c2b47cd89731d239e3d3920a4808a1dd4118b8c16a4f065","source":{"kind":"arxiv","id":"1010.2460","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.2460","created_at":"2026-05-18T02:05:05Z"},{"alias_kind":"arxiv_version","alias_value":"1010.2460v1","created_at":"2026-05-18T02:05:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.2460","created_at":"2026-05-18T02:05:05Z"},{"alias_kind":"pith_short_12","alias_value":"E6JD3OLNJ4RW","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"E6JD3OLNJ4RWWTBL","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"E6JD3OLN","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:E6JD3OLNJ4RWWTBLI7GYS4Y5EO","target":"record","payload":{"canonical_record":{"source":{"id":"1010.2460","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2010-10-12T18:13:38Z","cross_cats_sorted":["cs.SI","physics.data-an"],"title_canon_sha256":"11fa04395562ccde1160085e7db3bb9f786e50193a1ddd52b67b7b844762543b","abstract_canon_sha256":"9bba44e4ba9cac4ca15d94bd0cac030c7340c17e9ddf03fc976aa47d7c60fd92"},"schema_version":"1.0"},"canonical_sha256":"27923db96d4f236b4c2b47cd89731d239e3d3920a4808a1dd4118b8c16a4f065","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:05.943304Z","signature_b64":"+DGgBhJxw0o9LRNJYDxEGnNEivcrTFpTzvG5f0qofY3B4h3Zzs0fKTGd+rtkBBpVSzx91Q2UFmyM5KE/ROjcDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27923db96d4f236b4c2b47cd89731d239e3d3920a4808a1dd4118b8c16a4f065","last_reissued_at":"2026-05-18T02:05:05.942420Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:05.942420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.2460","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":"2026-05-18T02:05:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gGUmCUF4aKbaZvHTreGbzdpYD0ni5bcOaq7G2KvkLMzz2wQ4wk8F6CI5fHsZpyynW1LzsjxK17eIGIUczaO/Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:12:10.010116Z"},"content_sha256":"91fea03661c30f3b088af46ad4a07db9d25ac9aaf67f20fab576d7b60b8f26a1","schema_version":"1.0","event_id":"sha256:91fea03661c30f3b088af46ad4a07db9d25ac9aaf67f20fab576d7b60b8f26a1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:E6JD3OLNJ4RWWTBLI7GYS4Y5EO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Line graphs as social networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI","physics.data-an"],"primary_cat":"physics.soc-ph","authors_text":"Anna Ma\\'nka-Kraso\\'n, Krzysztof Ku{\\l}akowski, Lev Muchnik, Malgorzata Krawczyk","submitted_at":"2010-10-12T18:13:38Z","abstract_excerpt":"The line graphs are clustered and assortative. They share these topological features with some social networks. We argue that this similarity reveals the cliquey character of the social networks. In the model proposed here, a social network is the line graph of an initial network of families, communities, interest groups, school classes and small companies. These groups play the role of nodes, and individuals are represented by links between these nodes. The picture is supported by the data on the LiveJournal network of about 8 x 10^6 people. In particular, sharp maxima of the observed data of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.2460","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":"2026-05-18T02:05:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U+mU2oq6DF1h1n+ru26xBSHuGHNMpa75Dscl6/hjL7B+7/qcMZp2zBQZIK1uPyIOU2OUygMeMP2pHB4UyqfYCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:12:10.010474Z"},"content_sha256":"af90c686bf2d582f9c9bcd8f5fa641f22add1f10aaa5590c17f0319ea627d79d","schema_version":"1.0","event_id":"sha256:af90c686bf2d582f9c9bcd8f5fa641f22add1f10aaa5590c17f0319ea627d79d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E6JD3OLNJ4RWWTBLI7GYS4Y5EO/bundle.json","state_url":"https://pith.science/pith/E6JD3OLNJ4RWWTBLI7GYS4Y5EO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E6JD3OLNJ4RWWTBLI7GYS4Y5EO/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":"2026-06-03T16:12:10Z","links":{"resolver":"https://pith.science/pith/E6JD3OLNJ4RWWTBLI7GYS4Y5EO","bundle":"https://pith.science/pith/E6JD3OLNJ4RWWTBLI7GYS4Y5EO/bundle.json","state":"https://pith.science/pith/E6JD3OLNJ4RWWTBLI7GYS4Y5EO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E6JD3OLNJ4RWWTBLI7GYS4Y5EO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:E6JD3OLNJ4RWWTBLI7GYS4Y5EO","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":"9bba44e4ba9cac4ca15d94bd0cac030c7340c17e9ddf03fc976aa47d7c60fd92","cross_cats_sorted":["cs.SI","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2010-10-12T18:13:38Z","title_canon_sha256":"11fa04395562ccde1160085e7db3bb9f786e50193a1ddd52b67b7b844762543b"},"schema_version":"1.0","source":{"id":"1010.2460","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.2460","created_at":"2026-05-18T02:05:05Z"},{"alias_kind":"arxiv_version","alias_value":"1010.2460v1","created_at":"2026-05-18T02:05:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.2460","created_at":"2026-05-18T02:05:05Z"},{"alias_kind":"pith_short_12","alias_value":"E6JD3OLNJ4RW","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"E6JD3OLNJ4RWWTBL","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"E6JD3OLN","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:af90c686bf2d582f9c9bcd8f5fa641f22add1f10aaa5590c17f0319ea627d79d","target":"graph","created_at":"2026-05-18T02:05:05Z","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":"The line graphs are clustered and assortative. They share these topological features with some social networks. We argue that this similarity reveals the cliquey character of the social networks. In the model proposed here, a social network is the line graph of an initial network of families, communities, interest groups, school classes and small companies. These groups play the role of nodes, and individuals are represented by links between these nodes. The picture is supported by the data on the LiveJournal network of about 8 x 10^6 people. In particular, sharp maxima of the observed data of","authors_text":"Anna Ma\\'nka-Kraso\\'n, Krzysztof Ku{\\l}akowski, Lev Muchnik, Malgorzata Krawczyk","cross_cats":["cs.SI","physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2010-10-12T18:13:38Z","title":"Line graphs as social networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.2460","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":"sha256:91fea03661c30f3b088af46ad4a07db9d25ac9aaf67f20fab576d7b60b8f26a1","target":"record","created_at":"2026-05-18T02:05:05Z","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":"9bba44e4ba9cac4ca15d94bd0cac030c7340c17e9ddf03fc976aa47d7c60fd92","cross_cats_sorted":["cs.SI","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2010-10-12T18:13:38Z","title_canon_sha256":"11fa04395562ccde1160085e7db3bb9f786e50193a1ddd52b67b7b844762543b"},"schema_version":"1.0","source":{"id":"1010.2460","kind":"arxiv","version":1}},"canonical_sha256":"27923db96d4f236b4c2b47cd89731d239e3d3920a4808a1dd4118b8c16a4f065","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27923db96d4f236b4c2b47cd89731d239e3d3920a4808a1dd4118b8c16a4f065","first_computed_at":"2026-05-18T02:05:05.942420Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:05.942420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+DGgBhJxw0o9LRNJYDxEGnNEivcrTFpTzvG5f0qofY3B4h3Zzs0fKTGd+rtkBBpVSzx91Q2UFmyM5KE/ROjcDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:05.943304Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.2460","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91fea03661c30f3b088af46ad4a07db9d25ac9aaf67f20fab576d7b60b8f26a1","sha256:af90c686bf2d582f9c9bcd8f5fa641f22add1f10aaa5590c17f0319ea627d79d"],"state_sha256":"3f13fbdd32ea738d62a11b5f683ad910eb7cf8d617c2df2caa398d990aa4e23d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XI8MgeXLbmKxr6zqv+PFKQrxyJSKe6JMJoMgTTkfbTw004H6w0Kd3qC/xlQt5id6A3Fe8vG3mEsDhLVRxALtAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T16:12:10.012547Z","bundle_sha256":"99dd991fae7efb52d7ed54d72ebeeb5c18294469e7f07c9bf86efd07c7d88138"}}