{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:ES7YEI6VAX4AB6LAK6BUDG6QYH","short_pith_number":"pith:ES7YEI6V","schema_version":"1.0","canonical_sha256":"24bf8223d505f800f9605783419bd0c1f2bf54436593c843e4f4b03e73de1e29","source":{"kind":"arxiv","id":"2412.01842","version":2},"attestation_state":"computed","paper":{"title":"Strong localization blurs criticality of time series for spreading phenomena on networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph"],"primary_cat":"physics.bio-ph","authors_text":"Juliane T. Moraes, Silvio C. Ferreira","submitted_at":"2024-11-21T00:12:10Z","abstract_excerpt":"We analyze critical time series of the order parameter generated with active to inactive phase transitions of spreading dynamics running on the top of heterogeneous networks. Different activation mechanisms that govern the dynamics near the critical point were investigated. The time series were analyzed using the visibility graph (VG) method where a disassortative degree correlation of the VG is a signature of criticality. In contrast, assortative correlation is associated with offcritical dynamics. The signature of criticality given by the VG is confirmed for collective activation phenomena, "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2412.01842","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2024-11-21T00:12:10Z","cross_cats_sorted":["physics.soc-ph"],"title_canon_sha256":"771bcbd950fbd3cfa5411dbf0603a54b4be00b09306730306da589936d8c9c68","abstract_canon_sha256":"ad35085520e0bb8f92164e5888cdeb11d31c0095187b31c6550c0ea681dd98ce"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:41:50.880383Z","signature_b64":"k5lwG/OlCr7/W+SlMjCFkRyXkSn8n0BeoJ13oUVgoh8JmEdsDHT3o1xqeLu3vH9gwd965mCu5FuDsljwC0gJBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24bf8223d505f800f9605783419bd0c1f2bf54436593c843e4f4b03e73de1e29","last_reissued_at":"2026-07-05T10:41:50.879726Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:41:50.879726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Strong localization blurs criticality of time series for spreading phenomena on networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph"],"primary_cat":"physics.bio-ph","authors_text":"Juliane T. Moraes, Silvio C. Ferreira","submitted_at":"2024-11-21T00:12:10Z","abstract_excerpt":"We analyze critical time series of the order parameter generated with active to inactive phase transitions of spreading dynamics running on the top of heterogeneous networks. Different activation mechanisms that govern the dynamics near the critical point were investigated. The time series were analyzed using the visibility graph (VG) method where a disassortative degree correlation of the VG is a signature of criticality. In contrast, assortative correlation is associated with offcritical dynamics. The signature of criticality given by the VG is confirmed for collective activation phenomena, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.01842","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.01842/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2412.01842","created_at":"2026-07-05T10:41:50.879787+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.01842v2","created_at":"2026-07-05T10:41:50.879787+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.01842","created_at":"2026-07-05T10:41:50.879787+00:00"},{"alias_kind":"pith_short_12","alias_value":"ES7YEI6VAX4A","created_at":"2026-07-05T10:41:50.879787+00:00"},{"alias_kind":"pith_short_16","alias_value":"ES7YEI6VAX4AB6LA","created_at":"2026-07-05T10:41:50.879787+00:00"},{"alias_kind":"pith_short_8","alias_value":"ES7YEI6V","created_at":"2026-07-05T10:41:50.879787+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ES7YEI6VAX4AB6LAK6BUDG6QYH","json":"https://pith.science/pith/ES7YEI6VAX4AB6LAK6BUDG6QYH.json","graph_json":"https://pith.science/api/pith-number/ES7YEI6VAX4AB6LAK6BUDG6QYH/graph.json","events_json":"https://pith.science/api/pith-number/ES7YEI6VAX4AB6LAK6BUDG6QYH/events.json","paper":"https://pith.science/paper/ES7YEI6V"},"agent_actions":{"view_html":"https://pith.science/pith/ES7YEI6VAX4AB6LAK6BUDG6QYH","download_json":"https://pith.science/pith/ES7YEI6VAX4AB6LAK6BUDG6QYH.json","view_paper":"https://pith.science/paper/ES7YEI6V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.01842&json=true","fetch_graph":"https://pith.science/api/pith-number/ES7YEI6VAX4AB6LAK6BUDG6QYH/graph.json","fetch_events":"https://pith.science/api/pith-number/ES7YEI6VAX4AB6LAK6BUDG6QYH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ES7YEI6VAX4AB6LAK6BUDG6QYH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ES7YEI6VAX4AB6LAK6BUDG6QYH/action/storage_attestation","attest_author":"https://pith.science/pith/ES7YEI6VAX4AB6LAK6BUDG6QYH/action/author_attestation","sign_citation":"https://pith.science/pith/ES7YEI6VAX4AB6LAK6BUDG6QYH/action/citation_signature","submit_replication":"https://pith.science/pith/ES7YEI6VAX4AB6LAK6BUDG6QYH/action/replication_record"}},"created_at":"2026-07-05T10:41:50.879787+00:00","updated_at":"2026-07-05T10:41:50.879787+00:00"}