{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:QWJFC3ECFD6Y455L4VNPFIY4AX","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":"aa3e9154924e0c2307fc5b0726f2b33805c308cc03f30be02eb863d5c081ef3a","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.other","submitted_at":"2004-09-02T11:03:33Z","title_canon_sha256":"4bdc78ebc81269452dbab18a87566aa5a9958e88e62baf3ff1d8391ac36b5b05"},"schema_version":"1.0","source":{"id":"cond-mat/0409050","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0409050","created_at":"2026-05-18T01:39:57Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0409050v1","created_at":"2026-05-18T01:39:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0409050","created_at":"2026-05-18T01:39:57Z"},{"alias_kind":"pith_short_12","alias_value":"QWJFC3ECFD6Y","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"QWJFC3ECFD6Y455L","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"QWJFC3EC","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:82414f6f64ee876c15e17c0345fe5edfca515acf17f255df3a361f9854b1a9c5","target":"graph","created_at":"2026-05-18T01:39:57Z","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":"The propagation of (planar) cracks in a heterogeneous brittle material characterized by a random field of toughness is considered, taking into account explicitly the effect of the crack front roughness on the local stress intensity factor. In the so-called strong-pinning regime, the onset of crack propagation appears to map onto a second-order phase transition characterized by universal critical exponents which are independent of the local characteristics of the medium. Propagation over large distances can be described by using a simple one-dimensional description, with a correlation length an","authors_text":"Damien Vandembroucq (SVI), Francois Hild (LMT), Stephane Roux (SVI), Yann Charles (LMT)","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.other","submitted_at":"2004-09-02T11:03:33Z","title":"Material independent crack arrest statistics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0409050","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:e04dd0a2638e81313dd5f06f2153e10c852eee0dfdbe78fc824ddd35e59731aa","target":"record","created_at":"2026-05-18T01:39:57Z","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":"aa3e9154924e0c2307fc5b0726f2b33805c308cc03f30be02eb863d5c081ef3a","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.other","submitted_at":"2004-09-02T11:03:33Z","title_canon_sha256":"4bdc78ebc81269452dbab18a87566aa5a9958e88e62baf3ff1d8391ac36b5b05"},"schema_version":"1.0","source":{"id":"cond-mat/0409050","kind":"arxiv","version":1}},"canonical_sha256":"8592516c8228fd8e77abe55af2a31c05f22334c47bca3aa8be365aee724f243f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8592516c8228fd8e77abe55af2a31c05f22334c47bca3aa8be365aee724f243f","first_computed_at":"2026-05-18T01:39:57.780699Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:57.780699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+2NRwPpHZpNRHDo8bYdmpUZb/x/WHL73VhaEIvW1vjH2/uIvVoIGhHVEXeC+1DSXUqh9y3YTpcg5aJzOrPSYAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:57.781269Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0409050","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e04dd0a2638e81313dd5f06f2153e10c852eee0dfdbe78fc824ddd35e59731aa","sha256:82414f6f64ee876c15e17c0345fe5edfca515acf17f255df3a361f9854b1a9c5"],"state_sha256":"925c9cc3bd62c00d76de85e10a81afb8460a67772d59225a24a9e182a34612bf"}