{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:CMR4SYAAFS74OUJVTL35XXHXV2","short_pith_number":"pith:CMR4SYAA","canonical_record":{"source":{"id":"1905.10267","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2019-05-24T14:56:24Z","cross_cats_sorted":["physics.soc-ph","stat.ME"],"title_canon_sha256":"c2ee314450886740d62947e89600a0e7080e5ba4a98f89f4fc02e21c5ede1778","abstract_canon_sha256":"045ec8698546da4f599a030d2999bc0e4c88bcf3de3b5fbc1db146841cfc3694"},"schema_version":"1.0"},"canonical_sha256":"1323c960002cbfc751359af7dbdcf7aeb4c7b4de0072ca8bb1e75e43f86bbb00","source":{"kind":"arxiv","id":"1905.10267","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.10267","created_at":"2026-05-17T23:44:49Z"},{"alias_kind":"arxiv_version","alias_value":"1905.10267v2","created_at":"2026-05-17T23:44:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.10267","created_at":"2026-05-17T23:44:49Z"},{"alias_kind":"pith_short_12","alias_value":"CMR4SYAAFS74","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"CMR4SYAAFS74OUJV","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"CMR4SYAA","created_at":"2026-05-18T12:33:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:CMR4SYAAFS74OUJVTL35XXHXV2","target":"record","payload":{"canonical_record":{"source":{"id":"1905.10267","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2019-05-24T14:56:24Z","cross_cats_sorted":["physics.soc-ph","stat.ME"],"title_canon_sha256":"c2ee314450886740d62947e89600a0e7080e5ba4a98f89f4fc02e21c5ede1778","abstract_canon_sha256":"045ec8698546da4f599a030d2999bc0e4c88bcf3de3b5fbc1db146841cfc3694"},"schema_version":"1.0"},"canonical_sha256":"1323c960002cbfc751359af7dbdcf7aeb4c7b4de0072ca8bb1e75e43f86bbb00","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:49.318446Z","signature_b64":"wvtVOByJ1fsCRBZUlcN4z2k4aGwnheMOR8le9f8fDFjjj3vFN3BvPEfBU48fJ7myaW7D5EaP0wl3C79NnI09Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1323c960002cbfc751359af7dbdcf7aeb4c7b4de0072ca8bb1e75e43f86bbb00","last_reissued_at":"2026-05-17T23:44:49.317769Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:49.317769Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.10267","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":"2026-05-17T23:44:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M6d9r86H7v8Eu8omqV21eFRecufcLumPCV5fxpjTeMzMQZH/MQ8m4piyFpAQSUpHezDzX2P1bMx49dSLfOW+AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T04:27:46.809668Z"},"content_sha256":"e9aa7033bdce24cac23f124ca1cf1af98c720d4959835d1abf6ef7fa5abbdb28","schema_version":"1.0","event_id":"sha256:e9aa7033bdce24cac23f124ca1cf1af98c720d4959835d1abf6ef7fa5abbdb28"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:CMR4SYAAFS74OUJVTL35XXHXV2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extended Scale-Free Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph","stat.ME"],"primary_cat":"cs.SI","authors_text":"Arthur Charpentier, Emmanuel Flachaire","submitted_at":"2019-05-24T14:56:24Z","abstract_excerpt":"Recently, Broido & Clauset (2019) mentioned that (strict) Scale-Free networks were rare, in real life. This might be related to the statement of Stumpf, Wiuf & May (2005), that sub-networks of scale-free networks are not scale-free. In the later, those sub-networks are asymptotically scale-free, but one should not forget about second-order deviation (possibly also third order actually). In this article, we introduce a concept of extended scale-free network, inspired by the extended Pareto distribution, that actually is maybe more realistic to describe real network than the strict scale free pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.10267","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":"2026-05-17T23:44:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J1bHkOR5TlETt08XiXiz4W3PNIH/Hs6aI57WcCx4YbecFCop0MyS77XIzHyezBlG6Fp0tdb5EPXoGMR1rHMZDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T04:27:46.810025Z"},"content_sha256":"83d3aab0356335e9c609689442238d0bd489d5571a7f76a35444a6ab5ad1d945","schema_version":"1.0","event_id":"sha256:83d3aab0356335e9c609689442238d0bd489d5571a7f76a35444a6ab5ad1d945"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CMR4SYAAFS74OUJVTL35XXHXV2/bundle.json","state_url":"https://pith.science/pith/CMR4SYAAFS74OUJVTL35XXHXV2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CMR4SYAAFS74OUJVTL35XXHXV2/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":"2026-06-01T04:27:46Z","links":{"resolver":"https://pith.science/pith/CMR4SYAAFS74OUJVTL35XXHXV2","bundle":"https://pith.science/pith/CMR4SYAAFS74OUJVTL35XXHXV2/bundle.json","state":"https://pith.science/pith/CMR4SYAAFS74OUJVTL35XXHXV2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CMR4SYAAFS74OUJVTL35XXHXV2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:CMR4SYAAFS74OUJVTL35XXHXV2","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":"045ec8698546da4f599a030d2999bc0e4c88bcf3de3b5fbc1db146841cfc3694","cross_cats_sorted":["physics.soc-ph","stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2019-05-24T14:56:24Z","title_canon_sha256":"c2ee314450886740d62947e89600a0e7080e5ba4a98f89f4fc02e21c5ede1778"},"schema_version":"1.0","source":{"id":"1905.10267","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.10267","created_at":"2026-05-17T23:44:49Z"},{"alias_kind":"arxiv_version","alias_value":"1905.10267v2","created_at":"2026-05-17T23:44:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.10267","created_at":"2026-05-17T23:44:49Z"},{"alias_kind":"pith_short_12","alias_value":"CMR4SYAAFS74","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"CMR4SYAAFS74OUJV","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"CMR4SYAA","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:83d3aab0356335e9c609689442238d0bd489d5571a7f76a35444a6ab5ad1d945","target":"graph","created_at":"2026-05-17T23:44:49Z","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":"Recently, Broido & Clauset (2019) mentioned that (strict) Scale-Free networks were rare, in real life. This might be related to the statement of Stumpf, Wiuf & May (2005), that sub-networks of scale-free networks are not scale-free. In the later, those sub-networks are asymptotically scale-free, but one should not forget about second-order deviation (possibly also third order actually). In this article, we introduce a concept of extended scale-free network, inspired by the extended Pareto distribution, that actually is maybe more realistic to describe real network than the strict scale free pr","authors_text":"Arthur Charpentier, Emmanuel Flachaire","cross_cats":["physics.soc-ph","stat.ME"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2019-05-24T14:56:24Z","title":"Extended Scale-Free Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.10267","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:e9aa7033bdce24cac23f124ca1cf1af98c720d4959835d1abf6ef7fa5abbdb28","target":"record","created_at":"2026-05-17T23:44:49Z","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":"045ec8698546da4f599a030d2999bc0e4c88bcf3de3b5fbc1db146841cfc3694","cross_cats_sorted":["physics.soc-ph","stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2019-05-24T14:56:24Z","title_canon_sha256":"c2ee314450886740d62947e89600a0e7080e5ba4a98f89f4fc02e21c5ede1778"},"schema_version":"1.0","source":{"id":"1905.10267","kind":"arxiv","version":2}},"canonical_sha256":"1323c960002cbfc751359af7dbdcf7aeb4c7b4de0072ca8bb1e75e43f86bbb00","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1323c960002cbfc751359af7dbdcf7aeb4c7b4de0072ca8bb1e75e43f86bbb00","first_computed_at":"2026-05-17T23:44:49.317769Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:49.317769Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wvtVOByJ1fsCRBZUlcN4z2k4aGwnheMOR8le9f8fDFjjj3vFN3BvPEfBU48fJ7myaW7D5EaP0wl3C79NnI09Aw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:49.318446Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.10267","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e9aa7033bdce24cac23f124ca1cf1af98c720d4959835d1abf6ef7fa5abbdb28","sha256:83d3aab0356335e9c609689442238d0bd489d5571a7f76a35444a6ab5ad1d945"],"state_sha256":"2f08b4c81684822ee4a610a7b03120920b8a54b10fb9998e3fe79671daed2e2c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z7xs1AlViUImuLxIVB62G2Vb/NvccuHTLyr5qJJS/UwXMKDegFv1EVdXpezrL7XrOkARAvBFv4rSQ1Vt9M1zAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T04:27:46.812521Z","bundle_sha256":"2ab65b35f875d18c0500e54e34e0966c66beae16c923cc94b223706dbb2c2d85"}}