{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:SYGDU3AAEWH4M2DDUC3YSNVQR7","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":"8d7cb82d3b5204ec4101483378b8b369920666701b4df14fbf905c4042a4a8ee","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2022-12-19T03:39:24Z","title_canon_sha256":"34277affdf4cecbb8838adef51225612e0ca7de8b84bb42f1efbf4aa745429b2"},"schema_version":"1.0","source":{"id":"2212.09231","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.09231","created_at":"2026-07-05T05:26:19Z"},{"alias_kind":"arxiv_version","alias_value":"2212.09231v1","created_at":"2026-07-05T05:26:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.09231","created_at":"2026-07-05T05:26:19Z"},{"alias_kind":"pith_short_12","alias_value":"SYGDU3AAEWH4","created_at":"2026-07-05T05:26:19Z"},{"alias_kind":"pith_short_16","alias_value":"SYGDU3AAEWH4M2DD","created_at":"2026-07-05T05:26:19Z"},{"alias_kind":"pith_short_8","alias_value":"SYGDU3AA","created_at":"2026-07-05T05:26:19Z"}],"graph_snapshots":[{"event_id":"sha256:110f4d1c2b65ed3feff0877bffb7f52743ea9fa5979e9e62e99d9d49dbe8e0ae","target":"graph","created_at":"2026-07-05T05:26:19Z","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/2212.09231/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a finite-size scaling theory of a contact process with permanent immunity on uncorrelated scale-free networks. We model an epidemic outbreak by an analog of the susceptible-infected-removed model where an infected individual attacks only one susceptible in a time unit in a way we can expect a non-vanishing critical threshold at scale-free networks. As we already know, the susceptible-infected-removed model can be mapped in a bond percolation process, allowing us to compare the critical behavior of site and bond universality classes on networks. We used the external field finite-scal","authors_text":"A. Macedo-Filho, D. S. M. Alencar, F. W. S. Lima, G. A. Alves, R. S. Ferreira, T. F. A. Alves","cross_cats":["physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2022-12-19T03:39:24Z","title":"Epidemic Outbreaks on Quenched Scale-Free Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.09231","kind":"arxiv","version":1},"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":"sha256:972e64fe6175e5ed299994e5ba444976e7cd69eb117ae9e689d6730fdbadb682","target":"record","created_at":"2026-07-05T05:26:19Z","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":"8d7cb82d3b5204ec4101483378b8b369920666701b4df14fbf905c4042a4a8ee","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2022-12-19T03:39:24Z","title_canon_sha256":"34277affdf4cecbb8838adef51225612e0ca7de8b84bb42f1efbf4aa745429b2"},"schema_version":"1.0","source":{"id":"2212.09231","kind":"arxiv","version":1}},"canonical_sha256":"960c3a6c00258fc66863a0b78936b08ff6042edd9e7911956d71fb6d367d9753","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"960c3a6c00258fc66863a0b78936b08ff6042edd9e7911956d71fb6d367d9753","first_computed_at":"2026-07-05T05:26:19.498606Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:26:19.498606Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BQLOJ+Ihc2gB4IZd+vq1bQ03zwvpvsUcZ6QzQ9c2xULfNfAO6J7OHrktmASJedADoet95agKOoGoduaRZZ6jBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:26:19.499019Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.09231","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:972e64fe6175e5ed299994e5ba444976e7cd69eb117ae9e689d6730fdbadb682","sha256:110f4d1c2b65ed3feff0877bffb7f52743ea9fa5979e9e62e99d9d49dbe8e0ae"],"state_sha256":"4eaac14b2affc4cefee74f96ce717c917acfb717964caf990469e1cb6e745346"}