{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:ES7YEI6VAX4AB6LAK6BUDG6QYH","short_pith_number":"pith:ES7YEI6V","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"},"canonical_sha256":"24bf8223d505f800f9605783419bd0c1f2bf54436593c843e4f4b03e73de1e29","source":{"kind":"arxiv","id":"2412.01842","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.01842","created_at":"2026-07-05T10:41:50Z"},{"alias_kind":"arxiv_version","alias_value":"2412.01842v2","created_at":"2026-07-05T10:41:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.01842","created_at":"2026-07-05T10:41:50Z"},{"alias_kind":"pith_short_12","alias_value":"ES7YEI6VAX4A","created_at":"2026-07-05T10:41:50Z"},{"alias_kind":"pith_short_16","alias_value":"ES7YEI6VAX4AB6LA","created_at":"2026-07-05T10:41:50Z"},{"alias_kind":"pith_short_8","alias_value":"ES7YEI6V","created_at":"2026-07-05T10:41:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:ES7YEI6VAX4AB6LAK6BUDG6QYH","target":"record","payload":{"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"},"canonical_sha256":"24bf8223d505f800f9605783419bd0c1f2bf54436593c843e4f4b03e73de1e29","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"},"source_kind":"arxiv","source_id":"2412.01842","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":"2026-07-05T10:41:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+Woxohl+EsMvIwtlkHO74+BjMJnCT0AZIGQIJL4omWaF5xMM2fQ8z5oDdkaXcFz1WvkzU580jnAKkkT+CUdaDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T03:28:45.945512Z"},"content_sha256":"90c7a8b8c78a06c9bea343b22e4d599576137449abcd2629a1b08a66a679eb3e","schema_version":"1.0","event_id":"sha256:90c7a8b8c78a06c9bea343b22e4d599576137449abcd2629a1b08a66a679eb3e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:ES7YEI6VAX4AB6LAK6BUDG6QYH","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:41:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QPOTXn1a77XdXexG7HHxcnxeNeO5Mq0Yniuf6E5vDrTUu7HFGOVAwsfcByU6+MayJrGqtZ5H6U3LLK3066FUBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T03:28:45.946033Z"},"content_sha256":"dfb9d15fd20a838fce856ec46b4712aa07d20415e079c86e8cbf0047de1c6d00","schema_version":"1.0","event_id":"sha256:dfb9d15fd20a838fce856ec46b4712aa07d20415e079c86e8cbf0047de1c6d00"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ES7YEI6VAX4AB6LAK6BUDG6QYH/bundle.json","state_url":"https://pith.science/pith/ES7YEI6VAX4AB6LAK6BUDG6QYH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ES7YEI6VAX4AB6LAK6BUDG6QYH/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":"2026-08-13T03:28:45Z","links":{"resolver":"https://pith.science/pith/ES7YEI6VAX4AB6LAK6BUDG6QYH","bundle":"https://pith.science/pith/ES7YEI6VAX4AB6LAK6BUDG6QYH/bundle.json","state":"https://pith.science/pith/ES7YEI6VAX4AB6LAK6BUDG6QYH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ES7YEI6VAX4AB6LAK6BUDG6QYH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ES7YEI6VAX4AB6LAK6BUDG6QYH","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":"ad35085520e0bb8f92164e5888cdeb11d31c0095187b31c6550c0ea681dd98ce","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2024-11-21T00:12:10Z","title_canon_sha256":"771bcbd950fbd3cfa5411dbf0603a54b4be00b09306730306da589936d8c9c68"},"schema_version":"1.0","source":{"id":"2412.01842","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.01842","created_at":"2026-07-05T10:41:50Z"},{"alias_kind":"arxiv_version","alias_value":"2412.01842v2","created_at":"2026-07-05T10:41:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.01842","created_at":"2026-07-05T10:41:50Z"},{"alias_kind":"pith_short_12","alias_value":"ES7YEI6VAX4A","created_at":"2026-07-05T10:41:50Z"},{"alias_kind":"pith_short_16","alias_value":"ES7YEI6VAX4AB6LA","created_at":"2026-07-05T10:41:50Z"},{"alias_kind":"pith_short_8","alias_value":"ES7YEI6V","created_at":"2026-07-05T10:41:50Z"}],"graph_snapshots":[{"event_id":"sha256:dfb9d15fd20a838fce856ec46b4712aa07d20415e079c86e8cbf0047de1c6d00","target":"graph","created_at":"2026-07-05T10:41:50Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2412.01842/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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, ","authors_text":"Juliane T. Moraes, Silvio C. Ferreira","cross_cats":["physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2024-11-21T00:12:10Z","title":"Strong localization blurs criticality of time series for spreading phenomena on networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.01842","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":"sha256:90c7a8b8c78a06c9bea343b22e4d599576137449abcd2629a1b08a66a679eb3e","target":"record","created_at":"2026-07-05T10:41:50Z","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":"ad35085520e0bb8f92164e5888cdeb11d31c0095187b31c6550c0ea681dd98ce","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2024-11-21T00:12:10Z","title_canon_sha256":"771bcbd950fbd3cfa5411dbf0603a54b4be00b09306730306da589936d8c9c68"},"schema_version":"1.0","source":{"id":"2412.01842","kind":"arxiv","version":2}},"canonical_sha256":"24bf8223d505f800f9605783419bd0c1f2bf54436593c843e4f4b03e73de1e29","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24bf8223d505f800f9605783419bd0c1f2bf54436593c843e4f4b03e73de1e29","first_computed_at":"2026-07-05T10:41:50.879726Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:41:50.879726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k5lwG/OlCr7/W+SlMjCFkRyXkSn8n0BeoJ13oUVgoh8JmEdsDHT3o1xqeLu3vH9gwd965mCu5FuDsljwC0gJBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:41:50.880383Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.01842","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90c7a8b8c78a06c9bea343b22e4d599576137449abcd2629a1b08a66a679eb3e","sha256:dfb9d15fd20a838fce856ec46b4712aa07d20415e079c86e8cbf0047de1c6d00"],"state_sha256":"ef217ae53857c46b27a836248b633eb140e210371c68d497f7e0566ec800ca23"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B7C95ljadosBIt3pnENRTNoOmxZMVvw3n2IKYxosx/ZllPtL1qTLqq0bEvzt2HBW8aWExEDzrOmCE9CNZd8XAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T03:28:45.950836Z","bundle_sha256":"2f4877e204a8726a00e4389c970900e6f00978bc3036a57a8af2ab66abbcbe0c"}}