{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:KCGZ6O7XT32QSQIIPMAPFQQLDR","short_pith_number":"pith:KCGZ6O7X","canonical_record":{"source":{"id":"1604.03414","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-04-12T14:11:18Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"c500c9ebba8981a92ec560cb783e3d57025d76a34a85616b078f974b4de2e5ad","abstract_canon_sha256":"5f65307dba6e760bc920b41157acf5a9f1cb7cef0973f569e924b51b544563bb"},"schema_version":"1.0"},"canonical_sha256":"508d9f3bf79ef50941087b00f2c20b1c515da50aef6baa4b65eada37a496d58d","source":{"kind":"arxiv","id":"1604.03414","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03414","created_at":"2026-05-18T01:01:57Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03414v3","created_at":"2026-05-18T01:01:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03414","created_at":"2026-05-18T01:01:57Z"},{"alias_kind":"pith_short_12","alias_value":"KCGZ6O7XT32Q","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KCGZ6O7XT32QSQII","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KCGZ6O7X","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:KCGZ6O7XT32QSQIIPMAPFQQLDR","target":"record","payload":{"canonical_record":{"source":{"id":"1604.03414","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-04-12T14:11:18Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"c500c9ebba8981a92ec560cb783e3d57025d76a34a85616b078f974b4de2e5ad","abstract_canon_sha256":"5f65307dba6e760bc920b41157acf5a9f1cb7cef0973f569e924b51b544563bb"},"schema_version":"1.0"},"canonical_sha256":"508d9f3bf79ef50941087b00f2c20b1c515da50aef6baa4b65eada37a496d58d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:57.845186Z","signature_b64":"MSrFwuLRWlTJ3734y1tOiyvFrDQkap5z4tED3osj4OpZY5/JYy1tsaT+abIT9ZEaFsymD7GnS9S3NcBA7OnFAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"508d9f3bf79ef50941087b00f2c20b1c515da50aef6baa4b65eada37a496d58d","last_reissued_at":"2026-05-18T01:01:57.844703Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:57.844703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.03414","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":"2026-05-18T01:01:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lU2n10mnUUqF/VrMJo2YjFpsYUuLv5B/zs8owaYNZf/y4lg9uGtJkPodQDuSEJJG9oUCWNS+6aDNwTahWMd7Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T16:17:21.780005Z"},"content_sha256":"e8ebe50efd836e0f47b163c07bfe1b1d2cea2ecbc4f5f0302545321a56671c5c","schema_version":"1.0","event_id":"sha256:e8ebe50efd836e0f47b163c07bfe1b1d2cea2ecbc4f5f0302545321a56671c5c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:KCGZ6O7XT32QSQIIPMAPFQQLDR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multifractal cross-correlation effects in two-variable time series of complex network vertex observables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.data-an"],"primary_cat":"physics.soc-ph","authors_text":"Lorenzo Livi, Pawe{\\l} O\\'swi\\c{e}cimka, Stanis{\\l}aw Dro\\.zd\\.z","submitted_at":"2016-04-12T14:11:18Z","abstract_excerpt":"We investigate the scaling of the cross-correlations calculated for two-variable time series containing vertex properties in the context of complex networks. Time series of such observables are obtained by means of stationary, unbiased random walks. We consider three vertex properties that provide, respectively, short, medium, and long-range information regarding the topological role of vertices in a given network. In order to reveal the relation between these quantities, we applied the multifractal cross-correlation analysis technique, which provides information about the nonlinear effects in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03414","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":"2026-05-18T01:01:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7meHVjar744l/tKpOZ3u5XXXvEb+47tcZKLIej79TII9HpsVptNLeGnufClW3wVOttjoiQ8f1Ftn2a1dluYYAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T16:17:21.780375Z"},"content_sha256":"ce7a905e35c9dba636454f81fd42503c9d3898c73f3b7436e9d7552ae27c9845","schema_version":"1.0","event_id":"sha256:ce7a905e35c9dba636454f81fd42503c9d3898c73f3b7436e9d7552ae27c9845"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KCGZ6O7XT32QSQIIPMAPFQQLDR/bundle.json","state_url":"https://pith.science/pith/KCGZ6O7XT32QSQIIPMAPFQQLDR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KCGZ6O7XT32QSQIIPMAPFQQLDR/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":"2026-06-05T16:17:21Z","links":{"resolver":"https://pith.science/pith/KCGZ6O7XT32QSQIIPMAPFQQLDR","bundle":"https://pith.science/pith/KCGZ6O7XT32QSQIIPMAPFQQLDR/bundle.json","state":"https://pith.science/pith/KCGZ6O7XT32QSQIIPMAPFQQLDR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KCGZ6O7XT32QSQIIPMAPFQQLDR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:KCGZ6O7XT32QSQIIPMAPFQQLDR","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":"5f65307dba6e760bc920b41157acf5a9f1cb7cef0973f569e924b51b544563bb","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-04-12T14:11:18Z","title_canon_sha256":"c500c9ebba8981a92ec560cb783e3d57025d76a34a85616b078f974b4de2e5ad"},"schema_version":"1.0","source":{"id":"1604.03414","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03414","created_at":"2026-05-18T01:01:57Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03414v3","created_at":"2026-05-18T01:01:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03414","created_at":"2026-05-18T01:01:57Z"},{"alias_kind":"pith_short_12","alias_value":"KCGZ6O7XT32Q","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KCGZ6O7XT32QSQII","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KCGZ6O7X","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:ce7a905e35c9dba636454f81fd42503c9d3898c73f3b7436e9d7552ae27c9845","target":"graph","created_at":"2026-05-18T01:01:57Z","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":"We investigate the scaling of the cross-correlations calculated for two-variable time series containing vertex properties in the context of complex networks. Time series of such observables are obtained by means of stationary, unbiased random walks. We consider three vertex properties that provide, respectively, short, medium, and long-range information regarding the topological role of vertices in a given network. In order to reveal the relation between these quantities, we applied the multifractal cross-correlation analysis technique, which provides information about the nonlinear effects in","authors_text":"Lorenzo Livi, Pawe{\\l} O\\'swi\\c{e}cimka, Stanis{\\l}aw Dro\\.zd\\.z","cross_cats":["physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-04-12T14:11:18Z","title":"Multifractal cross-correlation effects in two-variable time series of complex network vertex observables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03414","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:e8ebe50efd836e0f47b163c07bfe1b1d2cea2ecbc4f5f0302545321a56671c5c","target":"record","created_at":"2026-05-18T01:01:57Z","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":"5f65307dba6e760bc920b41157acf5a9f1cb7cef0973f569e924b51b544563bb","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-04-12T14:11:18Z","title_canon_sha256":"c500c9ebba8981a92ec560cb783e3d57025d76a34a85616b078f974b4de2e5ad"},"schema_version":"1.0","source":{"id":"1604.03414","kind":"arxiv","version":3}},"canonical_sha256":"508d9f3bf79ef50941087b00f2c20b1c515da50aef6baa4b65eada37a496d58d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"508d9f3bf79ef50941087b00f2c20b1c515da50aef6baa4b65eada37a496d58d","first_computed_at":"2026-05-18T01:01:57.844703Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:57.844703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MSrFwuLRWlTJ3734y1tOiyvFrDQkap5z4tED3osj4OpZY5/JYy1tsaT+abIT9ZEaFsymD7GnS9S3NcBA7OnFAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:57.845186Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.03414","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8ebe50efd836e0f47b163c07bfe1b1d2cea2ecbc4f5f0302545321a56671c5c","sha256:ce7a905e35c9dba636454f81fd42503c9d3898c73f3b7436e9d7552ae27c9845"],"state_sha256":"c9b537aede33a3df575b10b1408fbdf1516581e83fbb0a4415c5939e5649674c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RpMK4NRpKEGQGDyBGrSCx4eDUg5lJcnJat+ZoqTecMt7XlJPe4oJe+kxoyyM65d+eUU7dzLSvG1eoRJQoBMUCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T16:17:21.782411Z","bundle_sha256":"da66cf8122883fe2e58b941f2fa02b2d04576871e508a7be7f7f019be20306ab"}}