{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:RBG5DEENJH4YUCAMIXQ3UYZZH3","short_pith_number":"pith:RBG5DEEN","canonical_record":{"source":{"id":"1306.5565","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2013-06-24T10:30:58Z","cross_cats_sorted":["cond-mat.stat-mech","physics.data-an"],"title_canon_sha256":"90677ea186ac491125bbdfaaa1e827b834a51b56c68a3727616cf5b15ae3495e","abstract_canon_sha256":"cf6cdf421630cd9602e39e2a033d42bb90788ba8079a35aa1915e5e8eda9a63d"},"schema_version":"1.0"},"canonical_sha256":"884dd1908d49f98a080c45e1ba63393eff2b0036fb015610540c0005434bebac","source":{"kind":"arxiv","id":"1306.5565","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5565","created_at":"2026-05-18T02:59:06Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5565v3","created_at":"2026-05-18T02:59:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5565","created_at":"2026-05-18T02:59:06Z"},{"alias_kind":"pith_short_12","alias_value":"RBG5DEENJH4Y","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"RBG5DEENJH4YUCAM","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"RBG5DEEN","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:RBG5DEENJH4YUCAMIXQ3UYZZH3","target":"record","payload":{"canonical_record":{"source":{"id":"1306.5565","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2013-06-24T10:30:58Z","cross_cats_sorted":["cond-mat.stat-mech","physics.data-an"],"title_canon_sha256":"90677ea186ac491125bbdfaaa1e827b834a51b56c68a3727616cf5b15ae3495e","abstract_canon_sha256":"cf6cdf421630cd9602e39e2a033d42bb90788ba8079a35aa1915e5e8eda9a63d"},"schema_version":"1.0"},"canonical_sha256":"884dd1908d49f98a080c45e1ba63393eff2b0036fb015610540c0005434bebac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:59:06.158789Z","signature_b64":"M9OKKL0kPglhezplnU3/zrXSvtL+HwvUMf+8uIsQEhkyaXbiutOpNznmslt7r19CzI3jOsmsgW6mS31YjEN6Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"884dd1908d49f98a080c45e1ba63393eff2b0036fb015610540c0005434bebac","last_reissued_at":"2026-05-18T02:59:06.158117Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:59:06.158117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.5565","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":"2026-05-18T02:59:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lIfIJKh98odXmUTndjMxvOhghnyJHhC68hQn5upCw2TL9Yk1tXDJPMHi8hKvnVDu5+4pheKAsRJijrWWm0rwCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T12:58:13.579349Z"},"content_sha256":"f7b628b3069f573e0898e5922f4048abff83455da74628d39123bc4f6a6abbd3","schema_version":"1.0","event_id":"sha256:f7b628b3069f573e0898e5922f4048abff83455da74628d39123bc4f6a6abbd3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:RBG5DEENJH4YUCAMIXQ3UYZZH3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fluctuations of motifs and non self-averaging in complex networks. A self- vs non-self-averaging phase transition scenario","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","physics.data-an"],"primary_cat":"cond-mat.dis-nn","authors_text":"Massimo Ostilli","submitted_at":"2013-06-24T10:30:58Z","abstract_excerpt":"Complex networks have been mostly characterized from the point of view of the degree distribution of their nodes and a few other motifs (or modules), with a special attention to triangles and cliques. The most exotic phenomena have been observed when the exponent $\\gamma$ of the associated power law degree-distribution is sufficiently small. In particular, a zero percolation threshold takes place for $\\gamma<3$, and an anomalous critical behavior sets in for $\\gamma<5$. In this Letter we prove that in sparse scale-free networks characterized by a cut-off scaling with the sistem size $N$, relat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5565","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":"2026-05-18T02:59:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ro2vz/iS0YPfd/Z08Vwj/uzAjk2bdLkGeFVjqacysbI4Q+9UPJW3fw79mWGCHbJraSgfcG6Vn49tggKN37n5BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T12:58:13.579723Z"},"content_sha256":"9accac09cf6c26796e12477eefd414cd77159971bcb6011a0b13dd81a4be59cc","schema_version":"1.0","event_id":"sha256:9accac09cf6c26796e12477eefd414cd77159971bcb6011a0b13dd81a4be59cc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RBG5DEENJH4YUCAMIXQ3UYZZH3/bundle.json","state_url":"https://pith.science/pith/RBG5DEENJH4YUCAMIXQ3UYZZH3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RBG5DEENJH4YUCAMIXQ3UYZZH3/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":"2026-06-25T12:58:13Z","links":{"resolver":"https://pith.science/pith/RBG5DEENJH4YUCAMIXQ3UYZZH3","bundle":"https://pith.science/pith/RBG5DEENJH4YUCAMIXQ3UYZZH3/bundle.json","state":"https://pith.science/pith/RBG5DEENJH4YUCAMIXQ3UYZZH3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RBG5DEENJH4YUCAMIXQ3UYZZH3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:RBG5DEENJH4YUCAMIXQ3UYZZH3","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":"cf6cdf421630cd9602e39e2a033d42bb90788ba8079a35aa1915e5e8eda9a63d","cross_cats_sorted":["cond-mat.stat-mech","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2013-06-24T10:30:58Z","title_canon_sha256":"90677ea186ac491125bbdfaaa1e827b834a51b56c68a3727616cf5b15ae3495e"},"schema_version":"1.0","source":{"id":"1306.5565","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5565","created_at":"2026-05-18T02:59:06Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5565v3","created_at":"2026-05-18T02:59:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5565","created_at":"2026-05-18T02:59:06Z"},{"alias_kind":"pith_short_12","alias_value":"RBG5DEENJH4Y","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"RBG5DEENJH4YUCAM","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"RBG5DEEN","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:9accac09cf6c26796e12477eefd414cd77159971bcb6011a0b13dd81a4be59cc","target":"graph","created_at":"2026-05-18T02:59:06Z","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":"Complex networks have been mostly characterized from the point of view of the degree distribution of their nodes and a few other motifs (or modules), with a special attention to triangles and cliques. The most exotic phenomena have been observed when the exponent $\\gamma$ of the associated power law degree-distribution is sufficiently small. In particular, a zero percolation threshold takes place for $\\gamma<3$, and an anomalous critical behavior sets in for $\\gamma<5$. In this Letter we prove that in sparse scale-free networks characterized by a cut-off scaling with the sistem size $N$, relat","authors_text":"Massimo Ostilli","cross_cats":["cond-mat.stat-mech","physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2013-06-24T10:30:58Z","title":"Fluctuations of motifs and non self-averaging in complex networks. A self- vs non-self-averaging phase transition scenario"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5565","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:f7b628b3069f573e0898e5922f4048abff83455da74628d39123bc4f6a6abbd3","target":"record","created_at":"2026-05-18T02:59:06Z","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":"cf6cdf421630cd9602e39e2a033d42bb90788ba8079a35aa1915e5e8eda9a63d","cross_cats_sorted":["cond-mat.stat-mech","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2013-06-24T10:30:58Z","title_canon_sha256":"90677ea186ac491125bbdfaaa1e827b834a51b56c68a3727616cf5b15ae3495e"},"schema_version":"1.0","source":{"id":"1306.5565","kind":"arxiv","version":3}},"canonical_sha256":"884dd1908d49f98a080c45e1ba63393eff2b0036fb015610540c0005434bebac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"884dd1908d49f98a080c45e1ba63393eff2b0036fb015610540c0005434bebac","first_computed_at":"2026-05-18T02:59:06.158117Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:06.158117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M9OKKL0kPglhezplnU3/zrXSvtL+HwvUMf+8uIsQEhkyaXbiutOpNznmslt7r19CzI3jOsmsgW6mS31YjEN6Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:06.158789Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.5565","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7b628b3069f573e0898e5922f4048abff83455da74628d39123bc4f6a6abbd3","sha256:9accac09cf6c26796e12477eefd414cd77159971bcb6011a0b13dd81a4be59cc"],"state_sha256":"6520f0376d6acc065997e6d81fc54ac6f0be7260a10b40c63fc0ac2b9c4e84a7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZH+SKb0lhaehEsaSzpG4HGTAM9zW9SqagXeYyI0o2DR1jhqMOKTNUVCve/Pq0NujxkUYkkfSLA7+Trr3WIxdAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T12:58:13.581697Z","bundle_sha256":"f86f0d4b3f95d1fd30036526b0eb809c3f61c18237ff6f68ed6a1a3bc8edc137"}}