{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:2Z735XQAS25AFL4YWM6BEJ4NPN","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":"cb21b24e156b49996d1b2982f5178924c9b1cc1e0d3353d6e0c40ff01328418a","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-12-07T08:00:54Z","title_canon_sha256":"b2ddae4e6a81640f9953e7fb667041fa6f4d8e9199574273d2d8c74f528c6efd"},"schema_version":"1.0","source":{"id":"1212.1551","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.1551","created_at":"2026-05-18T02:58:22Z"},{"alias_kind":"arxiv_version","alias_value":"1212.1551v2","created_at":"2026-05-18T02:58:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1551","created_at":"2026-05-18T02:58:22Z"},{"alias_kind":"pith_short_12","alias_value":"2Z735XQAS25A","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2Z735XQAS25AFL4Y","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2Z735XQA","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:0bbe4a5c6d5a268966d88d0102dc8ae191c4f13e51479a511a36725449604bf6","target":"graph","created_at":"2026-05-18T02:58:22Z","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 relevant parameters at the microstructure scale that govern the macroscopic toughness of disordered brittle materials are investigated theoretically. We focus on planar crack propagation and describe the front evolution as the propagation of a long-range elastic line within a plane with random distribution of toughness. Our study reveals two regimes: in the collective pinning regime, the macroscopic toughness can be expressed as a function of a few parameters only, namely the average and the standard deviation of the local toughness distribution and the correlation lengths of the heterogen","authors_text":"Alberto Rosso, Laurent Ponson, Vincent D\\'emery","cross_cats":["cond-mat.mtrl-sci","cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-12-07T08:00:54Z","title":"From microstructural features to effective toughness in disordered brittle solids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1551","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:f686643833e51bd56b94bcb3dd810d102925eb551b5f43c710c75487826a301b","target":"record","created_at":"2026-05-18T02:58:22Z","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":"cb21b24e156b49996d1b2982f5178924c9b1cc1e0d3353d6e0c40ff01328418a","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-12-07T08:00:54Z","title_canon_sha256":"b2ddae4e6a81640f9953e7fb667041fa6f4d8e9199574273d2d8c74f528c6efd"},"schema_version":"1.0","source":{"id":"1212.1551","kind":"arxiv","version":2}},"canonical_sha256":"d67fbede0096ba02af98b33c12278d7b6e9cc4c94dafed7e336e0b995013547d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d67fbede0096ba02af98b33c12278d7b6e9cc4c94dafed7e336e0b995013547d","first_computed_at":"2026-05-18T02:58:22.093365Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:22.093365Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cLPQfrbW/3U9rRP3q5iYD4dkFc45DH6NGRfnmbTtQDJ9JCoIqJ8iPU1xG02HiiXch5qjQT3P/+znPuD+ibpECg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:22.094361Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.1551","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f686643833e51bd56b94bcb3dd810d102925eb551b5f43c710c75487826a301b","sha256:0bbe4a5c6d5a268966d88d0102dc8ae191c4f13e51479a511a36725449604bf6"],"state_sha256":"646baaec5bfdd6c0a1ace6187fcb2d9fb69ffeff358c6744cd1aebb61ae1366c"}