{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:XLSTC54UZIL3NMJB26PS6672KH","short_pith_number":"pith:XLSTC54U","schema_version":"1.0","canonical_sha256":"bae5317794ca17b6b121d79f2f7bfa51d90d8c908f350f768212afa3e593e0f3","source":{"kind":"arxiv","id":"1307.1646","version":1},"attestation_state":"computed","paper":{"title":"On the density of shear transformation zones in amorphous solids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"cond-mat.soft","authors_text":"Alaa Saade, Alberto Rosso, Edan Lerner, Jie Lin, Matthieu Wyart","submitted_at":"2013-07-05T16:02:26Z","abstract_excerpt":"We study the stability of amorphous solids, focusing on the distribution P(x) of the local stress increase x that would lead to an instability. We argue that this distribution is singular P(x)x^{\\theta}, where the exponent {\\theta} is non-zero if the elastic interaction between rearranging regions is non-monotonic, and increases with the interaction range. For a class of finite dimensional models we show that stability implies a lower bound on {\\theta}, which is found to lie near saturation. For quadrupolar interactions these models yield {\\theta} ~ 0.6 for d=2 and \\theta ~ 0.4 in d=3 where d "},"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":"1307.1646","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-07-05T16:02:26Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"9cec383862c89e58833dc8ab44b6c7c9b6032b25f63fc878e9aeb564becaae8a","abstract_canon_sha256":"fd7c9445aa24e287894a5f2203d1a0e78b57ddd4a7d173d2514a400096452eea"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:34:52.670378Z","signature_b64":"rfWqGwaNA97GLFAQN11RWdbKVozOpq/5RXcY/twmzLea+Va2xgftptO3Y9oS73FHTlxhSmrciCW5bKi30AcjDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bae5317794ca17b6b121d79f2f7bfa51d90d8c908f350f768212afa3e593e0f3","last_reissued_at":"2026-05-18T02:34:52.669928Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:34:52.669928Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the density of shear transformation zones in amorphous solids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"cond-mat.soft","authors_text":"Alaa Saade, Alberto Rosso, Edan Lerner, Jie Lin, Matthieu Wyart","submitted_at":"2013-07-05T16:02:26Z","abstract_excerpt":"We study the stability of amorphous solids, focusing on the distribution P(x) of the local stress increase x that would lead to an instability. We argue that this distribution is singular P(x)x^{\\theta}, where the exponent {\\theta} is non-zero if the elastic interaction between rearranging regions is non-monotonic, and increases with the interaction range. For a class of finite dimensional models we show that stability implies a lower bound on {\\theta}, which is found to lie near saturation. For quadrupolar interactions these models yield {\\theta} ~ 0.6 for d=2 and \\theta ~ 0.4 in d=3 where d "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.1646","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":""},"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":"1307.1646","created_at":"2026-05-18T02:34:52.670000+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.1646v1","created_at":"2026-05-18T02:34:52.670000+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.1646","created_at":"2026-05-18T02:34:52.670000+00:00"},{"alias_kind":"pith_short_12","alias_value":"XLSTC54UZIL3","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_16","alias_value":"XLSTC54UZIL3NMJB","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_8","alias_value":"XLSTC54U","created_at":"2026-05-18T12:28:06.772260+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XLSTC54UZIL3NMJB26PS6672KH","json":"https://pith.science/pith/XLSTC54UZIL3NMJB26PS6672KH.json","graph_json":"https://pith.science/api/pith-number/XLSTC54UZIL3NMJB26PS6672KH/graph.json","events_json":"https://pith.science/api/pith-number/XLSTC54UZIL3NMJB26PS6672KH/events.json","paper":"https://pith.science/paper/XLSTC54U"},"agent_actions":{"view_html":"https://pith.science/pith/XLSTC54UZIL3NMJB26PS6672KH","download_json":"https://pith.science/pith/XLSTC54UZIL3NMJB26PS6672KH.json","view_paper":"https://pith.science/paper/XLSTC54U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.1646&json=true","fetch_graph":"https://pith.science/api/pith-number/XLSTC54UZIL3NMJB26PS6672KH/graph.json","fetch_events":"https://pith.science/api/pith-number/XLSTC54UZIL3NMJB26PS6672KH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XLSTC54UZIL3NMJB26PS6672KH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XLSTC54UZIL3NMJB26PS6672KH/action/storage_attestation","attest_author":"https://pith.science/pith/XLSTC54UZIL3NMJB26PS6672KH/action/author_attestation","sign_citation":"https://pith.science/pith/XLSTC54UZIL3NMJB26PS6672KH/action/citation_signature","submit_replication":"https://pith.science/pith/XLSTC54UZIL3NMJB26PS6672KH/action/replication_record"}},"created_at":"2026-05-18T02:34:52.670000+00:00","updated_at":"2026-05-18T02:34:52.670000+00:00"}