{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:EM2B7CN2NUEG7SY2DABWH6ZHMO","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":"f2fb40de1532e8464a756aef56d9faa2afd54710138b89ca43393b729c85ce2e","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2015-09-03T09:35:37Z","title_canon_sha256":"2ebc3f0fc5f5d2a6994067898f3816da03300e45ba4a4639bf9f6e7977017c0b"},"schema_version":"1.0","source":{"id":"1509.01003","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.01003","created_at":"2026-05-18T01:33:41Z"},{"alias_kind":"arxiv_version","alias_value":"1509.01003v1","created_at":"2026-05-18T01:33:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.01003","created_at":"2026-05-18T01:33:41Z"},{"alias_kind":"pith_short_12","alias_value":"EM2B7CN2NUEG","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"EM2B7CN2NUEG7SY2","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"EM2B7CN2","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:e668763f21e4de13b123066e967a28e497c9336df578905bfffa7c67dfd426a6","target":"graph","created_at":"2026-05-18T01:33:41Z","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":"Discrete element modelling (DEM) is one of the most efficient computational approaches to the fracture processes of heterogeneous materials on mesoscopic scales. From the dynamics of single crack propagation through the statistics of crack ensembles to the rapid fragmentation of materials DEM had a substantial contribution to our understanding over the past decades. Recently, the combination of DEM with other simulation techniques like Finite Element Modelling further extended the field of applicability. In this paper we briefly review the motivations and basic idea behind the DEM approach to ","authors_text":"Falk K. Wittel, Ferenc Kun, Humberto A. Carmona","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2015-09-03T09:35:37Z","title":"From fracture to fragmentation: discrete element modeling -- Complexity of crackling noise and fragmentation phenomena revealed by discrete element simulations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.01003","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":"sha256:9c722d7779832cf082423742b45ed4e20c9d4de8afdb1df9883206a41b1d3401","target":"record","created_at":"2026-05-18T01:33:41Z","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":"f2fb40de1532e8464a756aef56d9faa2afd54710138b89ca43393b729c85ce2e","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2015-09-03T09:35:37Z","title_canon_sha256":"2ebc3f0fc5f5d2a6994067898f3816da03300e45ba4a4639bf9f6e7977017c0b"},"schema_version":"1.0","source":{"id":"1509.01003","kind":"arxiv","version":1}},"canonical_sha256":"23341f89ba6d086fcb1a180363fb27639b51e0cdf9d8c27df741570d8263f064","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23341f89ba6d086fcb1a180363fb27639b51e0cdf9d8c27df741570d8263f064","first_computed_at":"2026-05-18T01:33:41.641694Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:33:41.641694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x4hvwZPCLeDzAbEz5qdgsuI1Hirr9VlWAB2l5KCV3dAHLf0e24Au8obpz4YNJ7D33fE2F7QlB5y+lFsyIqFUAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:33:41.642202Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.01003","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c722d7779832cf082423742b45ed4e20c9d4de8afdb1df9883206a41b1d3401","sha256:e668763f21e4de13b123066e967a28e497c9336df578905bfffa7c67dfd426a6"],"state_sha256":"02f5243b5749f100ef836b4c78388388f2ab1d19f92edd0fa5b8788526bbd024"}