{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:53BRLBF7KYU2UU74PH3FLRWEFX","short_pith_number":"pith:53BRLBF7","schema_version":"1.0","canonical_sha256":"eec31584bf5629aa53fc79f655c6c42de9ab51186be8bfba67699486f21c2c42","source":{"kind":"arxiv","id":"1204.3859","version":1},"attestation_state":"computed","paper":{"title":"Limits to Poisson's ratio in isotropic materials - general result for arbitrary deformation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"C.M. Roland, P.H. Mott","submitted_at":"2012-04-17T17:56:35Z","abstract_excerpt":"The lower bound usually cited for Poisson's ratio {\\nu} is -1, derived from the relationship between {\\nu} and the bulk and shear moduli. From consideration of the longitudinal and biaxial moduli, we recently determined that the lower bound on {\\nu} for isotropic materials is actually 1/5, a value also consistent with experimental measurements on real materials. Herein we generalize this result, first by analyzing expressions for {\\nu} in terms of six common elastic constants, and then by considering arbitrary strains. The results corroborate the prior finding that 1/5 <= {\\nu} for linear elas"},"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":"1204.3859","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2012-04-17T17:56:35Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"5f62d7b3a757838112b199d99297d9e77a507bc4e55bd1886df5a4e558580295","abstract_canon_sha256":"9ff1a9db9323f6c7d9b19b682dce88a1f817c0cefb5d80b2ce09756a76ecacbe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:51.415867Z","signature_b64":"Ri4jSxqecEqY3oygy8irfpJcRkdCN3jVoUiWwtVhcKEpfbqmy2+m+K2VVzaFh3s0WUfX38zVjpz4xzSvCyATBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eec31584bf5629aa53fc79f655c6c42de9ab51186be8bfba67699486f21c2c42","last_reissued_at":"2026-05-18T01:57:51.415212Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:51.415212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Limits to Poisson's ratio in isotropic materials - general result for arbitrary deformation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"C.M. Roland, P.H. Mott","submitted_at":"2012-04-17T17:56:35Z","abstract_excerpt":"The lower bound usually cited for Poisson's ratio {\\nu} is -1, derived from the relationship between {\\nu} and the bulk and shear moduli. From consideration of the longitudinal and biaxial moduli, we recently determined that the lower bound on {\\nu} for isotropic materials is actually 1/5, a value also consistent with experimental measurements on real materials. Herein we generalize this result, first by analyzing expressions for {\\nu} in terms of six common elastic constants, and then by considering arbitrary strains. The results corroborate the prior finding that 1/5 <= {\\nu} for linear elas"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3859","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":"1204.3859","created_at":"2026-05-18T01:57:51.415334+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.3859v1","created_at":"2026-05-18T01:57:51.415334+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3859","created_at":"2026-05-18T01:57:51.415334+00:00"},{"alias_kind":"pith_short_12","alias_value":"53BRLBF7KYU2","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_16","alias_value":"53BRLBF7KYU2UU74","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_8","alias_value":"53BRLBF7","created_at":"2026-05-18T12:26:53.410803+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/53BRLBF7KYU2UU74PH3FLRWEFX","json":"https://pith.science/pith/53BRLBF7KYU2UU74PH3FLRWEFX.json","graph_json":"https://pith.science/api/pith-number/53BRLBF7KYU2UU74PH3FLRWEFX/graph.json","events_json":"https://pith.science/api/pith-number/53BRLBF7KYU2UU74PH3FLRWEFX/events.json","paper":"https://pith.science/paper/53BRLBF7"},"agent_actions":{"view_html":"https://pith.science/pith/53BRLBF7KYU2UU74PH3FLRWEFX","download_json":"https://pith.science/pith/53BRLBF7KYU2UU74PH3FLRWEFX.json","view_paper":"https://pith.science/paper/53BRLBF7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.3859&json=true","fetch_graph":"https://pith.science/api/pith-number/53BRLBF7KYU2UU74PH3FLRWEFX/graph.json","fetch_events":"https://pith.science/api/pith-number/53BRLBF7KYU2UU74PH3FLRWEFX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/53BRLBF7KYU2UU74PH3FLRWEFX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/53BRLBF7KYU2UU74PH3FLRWEFX/action/storage_attestation","attest_author":"https://pith.science/pith/53BRLBF7KYU2UU74PH3FLRWEFX/action/author_attestation","sign_citation":"https://pith.science/pith/53BRLBF7KYU2UU74PH3FLRWEFX/action/citation_signature","submit_replication":"https://pith.science/pith/53BRLBF7KYU2UU74PH3FLRWEFX/action/replication_record"}},"created_at":"2026-05-18T01:57:51.415334+00:00","updated_at":"2026-05-18T01:57:51.415334+00:00"}