{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:AH4ZIQPHQLTAQQNBLWAYL7RTAI","short_pith_number":"pith:AH4ZIQPH","schema_version":"1.0","canonical_sha256":"01f99441e782e60841a15d8185fe3302038d4ab1740183e141d031280e1f3110","source":{"kind":"arxiv","id":"0912.1298","version":1},"attestation_state":"computed","paper":{"title":"A Geometric Theory of Thermal Stresses","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","physics.class-ph"],"primary_cat":"math-ph","authors_text":"Arash Yavari, Arkadas Ozakin","submitted_at":"2009-12-07T18:15:17Z","abstract_excerpt":"In this paper we formulate a geometric theory of thermal stresses. Given a temperature distribution, we associate a Riemannian material manifold to the body, with a metric that explicitly depends on the temperature distribution. A change of temperature corresponds to a change of the material metric. In this sense, a temperature change is a concrete example of the so-called referential evolutions. We also make a concrete connection between our geometric point of view and the multiplicative decomposition of deformation gradient into thermal and elastic parts. We study the stress-free temperature"},"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":"0912.1298","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-12-07T18:15:17Z","cross_cats_sorted":["math.MP","physics.class-ph"],"title_canon_sha256":"bb8a169ee97be588430925f7dd240888c1180b1b430f3f68a1817f6ca4caf9b5","abstract_canon_sha256":"8f169f7c01e6bf261545eb7585045b1cabb91737669f9ac833ae8e38516adc7a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:10:25.937355Z","signature_b64":"eV2DIp9qBMHWCyyYFjRkij7UNZre1h4U8CJkkgJjGD+VpRCSghxu86WtijzO1Pluxd1rr+1PlMoLlO4vzh3WCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01f99441e782e60841a15d8185fe3302038d4ab1740183e141d031280e1f3110","last_reissued_at":"2026-05-18T02:10:25.936959Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:10:25.936959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Geometric Theory of Thermal Stresses","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","physics.class-ph"],"primary_cat":"math-ph","authors_text":"Arash Yavari, Arkadas Ozakin","submitted_at":"2009-12-07T18:15:17Z","abstract_excerpt":"In this paper we formulate a geometric theory of thermal stresses. Given a temperature distribution, we associate a Riemannian material manifold to the body, with a metric that explicitly depends on the temperature distribution. A change of temperature corresponds to a change of the material metric. In this sense, a temperature change is a concrete example of the so-called referential evolutions. We also make a concrete connection between our geometric point of view and the multiplicative decomposition of deformation gradient into thermal and elastic parts. We study the stress-free temperature"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.1298","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":"0912.1298","created_at":"2026-05-18T02:10:25.937019+00:00"},{"alias_kind":"arxiv_version","alias_value":"0912.1298v1","created_at":"2026-05-18T02:10:25.937019+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.1298","created_at":"2026-05-18T02:10:25.937019+00:00"},{"alias_kind":"pith_short_12","alias_value":"AH4ZIQPHQLTA","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_16","alias_value":"AH4ZIQPHQLTAQQNB","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_8","alias_value":"AH4ZIQPH","created_at":"2026-05-18T12:25:58.837520+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/AH4ZIQPHQLTAQQNBLWAYL7RTAI","json":"https://pith.science/pith/AH4ZIQPHQLTAQQNBLWAYL7RTAI.json","graph_json":"https://pith.science/api/pith-number/AH4ZIQPHQLTAQQNBLWAYL7RTAI/graph.json","events_json":"https://pith.science/api/pith-number/AH4ZIQPHQLTAQQNBLWAYL7RTAI/events.json","paper":"https://pith.science/paper/AH4ZIQPH"},"agent_actions":{"view_html":"https://pith.science/pith/AH4ZIQPHQLTAQQNBLWAYL7RTAI","download_json":"https://pith.science/pith/AH4ZIQPHQLTAQQNBLWAYL7RTAI.json","view_paper":"https://pith.science/paper/AH4ZIQPH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0912.1298&json=true","fetch_graph":"https://pith.science/api/pith-number/AH4ZIQPHQLTAQQNBLWAYL7RTAI/graph.json","fetch_events":"https://pith.science/api/pith-number/AH4ZIQPHQLTAQQNBLWAYL7RTAI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AH4ZIQPHQLTAQQNBLWAYL7RTAI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AH4ZIQPHQLTAQQNBLWAYL7RTAI/action/storage_attestation","attest_author":"https://pith.science/pith/AH4ZIQPHQLTAQQNBLWAYL7RTAI/action/author_attestation","sign_citation":"https://pith.science/pith/AH4ZIQPHQLTAQQNBLWAYL7RTAI/action/citation_signature","submit_replication":"https://pith.science/pith/AH4ZIQPHQLTAQQNBLWAYL7RTAI/action/replication_record"}},"created_at":"2026-05-18T02:10:25.937019+00:00","updated_at":"2026-05-18T02:10:25.937019+00:00"}