{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:IWM5F2TOLY3AVL4SU7E3SM6SPW","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":"ac902f21dd2d3572007a1004e40ecd0b8b5ad47475e03c75175f79fc5e42fdc7","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2000-11-09T16:05:12Z","title_canon_sha256":"50836073bef10e6424933b8228a1f40697e7a15191d9ba0c0799799f4c06cf80"},"schema_version":"1.0","source":{"id":"cond-mat/0011164","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0011164","created_at":"2026-05-18T01:07:12Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0011164v1","created_at":"2026-05-18T01:07:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0011164","created_at":"2026-05-18T01:07:12Z"},{"alias_kind":"pith_short_12","alias_value":"IWM5F2TOLY3A","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"IWM5F2TOLY3AVL4S","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"IWM5F2TO","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:324d983b74acc55f036f7326648895c10bc82448bf9a7ad73e6162d3e182b1df","target":"graph","created_at":"2026-05-18T01:07:12Z","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 develop theoretical formulas for the prediction of the rupture of systems which are known to exhibit a critical behavior, based solely on the knowledge of the early time evolution of an observable, such as the acoustic emission rate as a function of time or of stress.\n From the parameterization of such early time evolution in terms of a low-order polynomial, we use the functional renormalization approach introduced by Yukalov and Gluzman to transform this polynomial into a function which is asymptotically a power law. The value of the critical time tc,conditioned on the assumption that tc e","authors_text":"D. Sornette (UCLA, J.V. Andersen (Univ. Nice), S. Gluzman (Univ. Nice), Univ. Nice/CNRS)","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2000-11-09T16:05:12Z","title":"Functional Renormalization Prediction of Rupture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0011164","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":"sha256:4dc5fcb92e70248821b8d59f9dc04a28592d011a91766b2a47723dba6af534fb","target":"record","created_at":"2026-05-18T01:07:12Z","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":"ac902f21dd2d3572007a1004e40ecd0b8b5ad47475e03c75175f79fc5e42fdc7","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2000-11-09T16:05:12Z","title_canon_sha256":"50836073bef10e6424933b8228a1f40697e7a15191d9ba0c0799799f4c06cf80"},"schema_version":"1.0","source":{"id":"cond-mat/0011164","kind":"arxiv","version":1}},"canonical_sha256":"4599d2ea6e5e360aaf92a7c9b933d27d9d4290d099a24f8802a76b5c7f5385b8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4599d2ea6e5e360aaf92a7c9b933d27d9d4290d099a24f8802a76b5c7f5385b8","first_computed_at":"2026-05-18T01:07:12.376004Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:12.376004Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OPuUEF8qE1tejVQ+NRpO9VCso5dXyHtAxNZVH1nUGCakkRBCMcr/SgD7px1BhI8E8KKsB13KRP4zadST0ra0Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:12.376602Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0011164","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4dc5fcb92e70248821b8d59f9dc04a28592d011a91766b2a47723dba6af534fb","sha256:324d983b74acc55f036f7326648895c10bc82448bf9a7ad73e6162d3e182b1df"],"state_sha256":"90f91b93079169e986cc03519144a52be6b5ce7171cb24cb5abbecb4cc2aa2df"}