{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:JCAKXJLVSYQV4LEHXPPT7QAVWU","short_pith_number":"pith:JCAKXJLV","schema_version":"1.0","canonical_sha256":"4880aba57596215e2c87bbdf3fc015b52f013a8fbc06b3d1a5fdd83f0b2a4bdd","source":{"kind":"arxiv","id":"2602.09737","version":1},"attestation_state":"computed","paper":{"title":"How Geometry Tames Disorder in Lattice Fracture","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.soft","cond-mat.stat-mech","physics.app-ph"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Alessandra Lingua, Antoine Sanner, David S. Kammer, Leo de Waal, Marcelo A. Dias, Matthaios Chouzouris","submitted_at":"2026-02-10T12:51:06Z","abstract_excerpt":"We investigate the fracture behavior of pre-cracked triangular beam-lattices whose elements have failure stresses drawn from a Weibull distribution. Through a statistical analysis and numerical simulations, we identify and verify the existence of three distinct failure regimes: (i) disorder is effectively suppressed, (ii) disorder manifests locally near the crack tip, modifying the crack morphology, and (iii) disorder manifests globally, leading to initially diffuse failure. Our model naturally reveals the key parameters governing this behavior: the Weibull modulus, quantifying the spread in f"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2602.09737","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-02-10T12:51:06Z","cross_cats_sorted":["cond-mat.soft","cond-mat.stat-mech","physics.app-ph"],"title_canon_sha256":"ecfda8cbb375dcd1c6c51dc379e8236d57ad6f718b9cc0d0257f3bb0bf21df38","abstract_canon_sha256":"a6d406db9eb8898ee1ed1609ad3c313e09019369db48caaa00b0d97b626efd01"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-10T00:18:43.713436Z","signature_b64":"iSsZ5g8B2PzoQNP/sNH+g3sEaTvVjlpFIGGkhF+Zds/fVapXCu3fwdMbD67ZyXpKJsCTB2QeWNwTpFS1L4kiDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4880aba57596215e2c87bbdf3fc015b52f013a8fbc06b3d1a5fdd83f0b2a4bdd","last_reissued_at":"2026-07-10T00:18:43.712919Z","signature_status":"signed_v1","first_computed_at":"2026-07-10T00:18:43.712919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"How Geometry Tames Disorder in Lattice Fracture","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.soft","cond-mat.stat-mech","physics.app-ph"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Alessandra Lingua, Antoine Sanner, David S. Kammer, Leo de Waal, Marcelo A. Dias, Matthaios Chouzouris","submitted_at":"2026-02-10T12:51:06Z","abstract_excerpt":"We investigate the fracture behavior of pre-cracked triangular beam-lattices whose elements have failure stresses drawn from a Weibull distribution. Through a statistical analysis and numerical simulations, we identify and verify the existence of three distinct failure regimes: (i) disorder is effectively suppressed, (ii) disorder manifests locally near the crack tip, modifying the crack morphology, and (iii) disorder manifests globally, leading to initially diffuse failure. Our model naturally reveals the key parameters governing this behavior: the Weibull modulus, quantifying the spread in f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.09737","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2602.09737/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2602.09737","created_at":"2026-07-10T00:18:43.712981+00:00"},{"alias_kind":"arxiv_version","alias_value":"2602.09737v1","created_at":"2026-07-10T00:18:43.712981+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.09737","created_at":"2026-07-10T00:18:43.712981+00:00"},{"alias_kind":"pith_short_12","alias_value":"JCAKXJLVSYQV","created_at":"2026-07-10T00:18:43.712981+00:00"},{"alias_kind":"pith_short_16","alias_value":"JCAKXJLVSYQV4LEH","created_at":"2026-07-10T00:18:43.712981+00:00"},{"alias_kind":"pith_short_8","alias_value":"JCAKXJLV","created_at":"2026-07-10T00:18:43.712981+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.19684","citing_title":"The fracture resistance of elastic networks increases with the density of defects like a random walk","ref_index":21,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JCAKXJLVSYQV4LEHXPPT7QAVWU","json":"https://pith.science/pith/JCAKXJLVSYQV4LEHXPPT7QAVWU.json","graph_json":"https://pith.science/api/pith-number/JCAKXJLVSYQV4LEHXPPT7QAVWU/graph.json","events_json":"https://pith.science/api/pith-number/JCAKXJLVSYQV4LEHXPPT7QAVWU/events.json","paper":"https://pith.science/paper/JCAKXJLV"},"agent_actions":{"view_html":"https://pith.science/pith/JCAKXJLVSYQV4LEHXPPT7QAVWU","download_json":"https://pith.science/pith/JCAKXJLVSYQV4LEHXPPT7QAVWU.json","view_paper":"https://pith.science/paper/JCAKXJLV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2602.09737&json=true","fetch_graph":"https://pith.science/api/pith-number/JCAKXJLVSYQV4LEHXPPT7QAVWU/graph.json","fetch_events":"https://pith.science/api/pith-number/JCAKXJLVSYQV4LEHXPPT7QAVWU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JCAKXJLVSYQV4LEHXPPT7QAVWU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JCAKXJLVSYQV4LEHXPPT7QAVWU/action/storage_attestation","attest_author":"https://pith.science/pith/JCAKXJLVSYQV4LEHXPPT7QAVWU/action/author_attestation","sign_citation":"https://pith.science/pith/JCAKXJLVSYQV4LEHXPPT7QAVWU/action/citation_signature","submit_replication":"https://pith.science/pith/JCAKXJLVSYQV4LEHXPPT7QAVWU/action/replication_record"}},"created_at":"2026-07-10T00:18:43.712981+00:00","updated_at":"2026-07-10T00:18:43.712981+00:00"}