{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:B755ASGJQRBFWA2EIVX5QYCXYX","short_pith_number":"pith:B755ASGJ","schema_version":"1.0","canonical_sha256":"0ffbd048c984425b0344456fd86057c5ebde643229cdf6ed4b009a193896f94e","source":{"kind":"arxiv","id":"1609.01339","version":1},"attestation_state":"computed","paper":{"title":"Rank-one convexity implies polyconvexity in isotropic planar incompressible elasticity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Ionel-Dumitrel Ghiba, Patrizio Neff, Robert J. Martin","submitted_at":"2016-09-05T22:06:06Z","abstract_excerpt":"We study convexity properties of energy functions in plane nonlinear elasticity of incompressible materials and show that rank-one convexity of an objective and isotropic elastic energy $W$ on the special linear group $\\mathrm{SL}(2)$ implies the polyconvexity of $W$."},"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":"1609.01339","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-09-05T22:06:06Z","cross_cats_sorted":[],"title_canon_sha256":"2bcc425ec6991c4fa263a32740b9ecd78602e653b057e9eb3e5fc22138f361ce","abstract_canon_sha256":"a6d845b448de5192b0bf7e2225ae5667490cf8f188c30b32e537484db93ede60"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:41.331473Z","signature_b64":"sAID7mc/oToxk9+ly8tDuNRyDZCD/bATZr0XP0zP2aNfDsJl3DinJ+kv0b+1m5DpK5+Z4k63amBgyXnMeaMlBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ffbd048c984425b0344456fd86057c5ebde643229cdf6ed4b009a193896f94e","last_reissued_at":"2026-05-18T01:05:41.331002Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:41.331002Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rank-one convexity implies polyconvexity in isotropic planar incompressible elasticity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Ionel-Dumitrel Ghiba, Patrizio Neff, Robert J. Martin","submitted_at":"2016-09-05T22:06:06Z","abstract_excerpt":"We study convexity properties of energy functions in plane nonlinear elasticity of incompressible materials and show that rank-one convexity of an objective and isotropic elastic energy $W$ on the special linear group $\\mathrm{SL}(2)$ implies the polyconvexity of $W$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.01339","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":"1609.01339","created_at":"2026-05-18T01:05:41.331063+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.01339v1","created_at":"2026-05-18T01:05:41.331063+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.01339","created_at":"2026-05-18T01:05:41.331063+00:00"},{"alias_kind":"pith_short_12","alias_value":"B755ASGJQRBF","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_16","alias_value":"B755ASGJQRBFWA2E","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_8","alias_value":"B755ASGJ","created_at":"2026-05-18T12:30:07.202191+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/B755ASGJQRBFWA2EIVX5QYCXYX","json":"https://pith.science/pith/B755ASGJQRBFWA2EIVX5QYCXYX.json","graph_json":"https://pith.science/api/pith-number/B755ASGJQRBFWA2EIVX5QYCXYX/graph.json","events_json":"https://pith.science/api/pith-number/B755ASGJQRBFWA2EIVX5QYCXYX/events.json","paper":"https://pith.science/paper/B755ASGJ"},"agent_actions":{"view_html":"https://pith.science/pith/B755ASGJQRBFWA2EIVX5QYCXYX","download_json":"https://pith.science/pith/B755ASGJQRBFWA2EIVX5QYCXYX.json","view_paper":"https://pith.science/paper/B755ASGJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.01339&json=true","fetch_graph":"https://pith.science/api/pith-number/B755ASGJQRBFWA2EIVX5QYCXYX/graph.json","fetch_events":"https://pith.science/api/pith-number/B755ASGJQRBFWA2EIVX5QYCXYX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B755ASGJQRBFWA2EIVX5QYCXYX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B755ASGJQRBFWA2EIVX5QYCXYX/action/storage_attestation","attest_author":"https://pith.science/pith/B755ASGJQRBFWA2EIVX5QYCXYX/action/author_attestation","sign_citation":"https://pith.science/pith/B755ASGJQRBFWA2EIVX5QYCXYX/action/citation_signature","submit_replication":"https://pith.science/pith/B755ASGJQRBFWA2EIVX5QYCXYX/action/replication_record"}},"created_at":"2026-05-18T01:05:41.331063+00:00","updated_at":"2026-05-18T01:05:41.331063+00:00"}