{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:WAGAFNVDT6CWODTHUAH53Z5QK6","short_pith_number":"pith:WAGAFNVD","schema_version":"1.0","canonical_sha256":"b00c02b6a39f85670e67a00fdde7b0578c33aa5f7a23a7307b9ecb8edd61d69f","source":{"kind":"arxiv","id":"1111.6684","version":2},"attestation_state":"computed","paper":{"title":"Theory of strains in auxetic materials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Raphael Blumenfeld, Sam F. Edwards","submitted_at":"2011-11-26T22:18:32Z","abstract_excerpt":"Auxetic materials, or negative-Poisson's-ratio materials, are important technologically and fascinating theoretically. When loaded by external stresses, their internal strains are governed by correlated motion of internal structural degrees of freedom. The modelling of such materials is mainly based on ordered structures, despite existence of auxetic behaviour in disordered structures and the advantage in manufacturing disordered structures for most applications. We describe here a first-principles expression for strains in disordered such materials, based on insight from a family of 'iso-auxe"},"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":"1111.6684","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-11-26T22:18:32Z","cross_cats_sorted":[],"title_canon_sha256":"0314246a57e2b83c3bbdbacf85da463350bc1514cd4b7c9b2988d89ac20e91ee","abstract_canon_sha256":"9cf4fb8a2ce18172d89b7cb8562149f322fc2489147ba73aeed1d382deb345e0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:02.983887Z","signature_b64":"pJrNl6FQgSLsQLB9SG042FQHLiKLG43OdSXZl5/Gxy/Z8az/nLnZAEV4fck6+TW0l3Py/0YFn151Ipe+kmCrCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b00c02b6a39f85670e67a00fdde7b0578c33aa5f7a23a7307b9ecb8edd61d69f","last_reissued_at":"2026-05-18T03:58:02.983308Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:02.983308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Theory of strains in auxetic materials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Raphael Blumenfeld, Sam F. Edwards","submitted_at":"2011-11-26T22:18:32Z","abstract_excerpt":"Auxetic materials, or negative-Poisson's-ratio materials, are important technologically and fascinating theoretically. When loaded by external stresses, their internal strains are governed by correlated motion of internal structural degrees of freedom. The modelling of such materials is mainly based on ordered structures, despite existence of auxetic behaviour in disordered structures and the advantage in manufacturing disordered structures for most applications. We describe here a first-principles expression for strains in disordered such materials, based on insight from a family of 'iso-auxe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6684","kind":"arxiv","version":2},"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":"1111.6684","created_at":"2026-05-18T03:58:02.983405+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.6684v2","created_at":"2026-05-18T03:58:02.983405+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6684","created_at":"2026-05-18T03:58:02.983405+00:00"},{"alias_kind":"pith_short_12","alias_value":"WAGAFNVDT6CW","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_16","alias_value":"WAGAFNVDT6CWODTH","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_8","alias_value":"WAGAFNVD","created_at":"2026-05-18T12:26:44.992195+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/WAGAFNVDT6CWODTHUAH53Z5QK6","json":"https://pith.science/pith/WAGAFNVDT6CWODTHUAH53Z5QK6.json","graph_json":"https://pith.science/api/pith-number/WAGAFNVDT6CWODTHUAH53Z5QK6/graph.json","events_json":"https://pith.science/api/pith-number/WAGAFNVDT6CWODTHUAH53Z5QK6/events.json","paper":"https://pith.science/paper/WAGAFNVD"},"agent_actions":{"view_html":"https://pith.science/pith/WAGAFNVDT6CWODTHUAH53Z5QK6","download_json":"https://pith.science/pith/WAGAFNVDT6CWODTHUAH53Z5QK6.json","view_paper":"https://pith.science/paper/WAGAFNVD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.6684&json=true","fetch_graph":"https://pith.science/api/pith-number/WAGAFNVDT6CWODTHUAH53Z5QK6/graph.json","fetch_events":"https://pith.science/api/pith-number/WAGAFNVDT6CWODTHUAH53Z5QK6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WAGAFNVDT6CWODTHUAH53Z5QK6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WAGAFNVDT6CWODTHUAH53Z5QK6/action/storage_attestation","attest_author":"https://pith.science/pith/WAGAFNVDT6CWODTHUAH53Z5QK6/action/author_attestation","sign_citation":"https://pith.science/pith/WAGAFNVDT6CWODTHUAH53Z5QK6/action/citation_signature","submit_replication":"https://pith.science/pith/WAGAFNVDT6CWODTHUAH53Z5QK6/action/replication_record"}},"created_at":"2026-05-18T03:58:02.983405+00:00","updated_at":"2026-05-18T03:58:02.983405+00:00"}