{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:MK5QUFJIS5XSYJ4PYOARZL32ZM","short_pith_number":"pith:MK5QUFJI","schema_version":"1.0","canonical_sha256":"62bb0a1528976f2c278fc3811caf7acb3b3ba59e93e357c7e935a01d774626ab","source":{"kind":"arxiv","id":"1706.08770","version":3},"attestation_state":"computed","paper":{"title":"A fourth order gauge-invariant gradient plasticity model for polycrystals based on Kr\\\"oner's incompatibility tensor","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Francois Ebobisse, Patrizio Neff","submitted_at":"2017-06-27T10:58:07Z","abstract_excerpt":"In this paper we derive a novel fourth order gauge-invariant phenomenological model of infinitesimal rate-independent gradient plasticity with isotropic hardening and Kr\\\"oner's incompatibility tensor $inc(\\epsilon_p):= Curl[(Curl \\epsilon_p)^T]$, where $\\epsilon_p=sym p$ is the symmetric infinitesimal plastic strain tensor and $p$ is the (non-symmetric) infinitesimal plastic distortion. Here, gauge-invariance denotes invariance under diffeomorphic reparametrizations of the reference configuration, suitably adapted to the geometrically linear setting. The model features a defect energy contri"},"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":"1706.08770","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-06-27T10:58:07Z","cross_cats_sorted":[],"title_canon_sha256":"214832a452e10487bfa39d29029eef408bda6f2431e222dc680f0aa0e7c47401","abstract_canon_sha256":"d741023fda61ab434febab90c68efbcae42bd58ee0d40ea43ddbb2a815253834"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:22.747271Z","signature_b64":"0Tg2za4uVD4wXgjIWWCXhl4x4qjPQZPrcoyFTiVc0kMXzOf/KnhEx0aj1T116y9Zs7GCLYtI6RLV70XfqE6+DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"62bb0a1528976f2c278fc3811caf7acb3b3ba59e93e357c7e935a01d774626ab","last_reissued_at":"2026-05-17T23:49:22.746609Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:22.746609Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A fourth order gauge-invariant gradient plasticity model for polycrystals based on Kr\\\"oner's incompatibility tensor","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Francois Ebobisse, Patrizio Neff","submitted_at":"2017-06-27T10:58:07Z","abstract_excerpt":"In this paper we derive a novel fourth order gauge-invariant phenomenological model of infinitesimal rate-independent gradient plasticity with isotropic hardening and Kr\\\"oner's incompatibility tensor $inc(\\epsilon_p):= Curl[(Curl \\epsilon_p)^T]$, where $\\epsilon_p=sym p$ is the symmetric infinitesimal plastic strain tensor and $p$ is the (non-symmetric) infinitesimal plastic distortion. Here, gauge-invariance denotes invariance under diffeomorphic reparametrizations of the reference configuration, suitably adapted to the geometrically linear setting. The model features a defect energy contri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.08770","kind":"arxiv","version":3},"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":"1706.08770","created_at":"2026-05-17T23:49:22.746715+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.08770v3","created_at":"2026-05-17T23:49:22.746715+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.08770","created_at":"2026-05-17T23:49:22.746715+00:00"},{"alias_kind":"pith_short_12","alias_value":"MK5QUFJIS5XS","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_16","alias_value":"MK5QUFJIS5XSYJ4P","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_8","alias_value":"MK5QUFJI","created_at":"2026-05-18T12:31:31.346846+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/MK5QUFJIS5XSYJ4PYOARZL32ZM","json":"https://pith.science/pith/MK5QUFJIS5XSYJ4PYOARZL32ZM.json","graph_json":"https://pith.science/api/pith-number/MK5QUFJIS5XSYJ4PYOARZL32ZM/graph.json","events_json":"https://pith.science/api/pith-number/MK5QUFJIS5XSYJ4PYOARZL32ZM/events.json","paper":"https://pith.science/paper/MK5QUFJI"},"agent_actions":{"view_html":"https://pith.science/pith/MK5QUFJIS5XSYJ4PYOARZL32ZM","download_json":"https://pith.science/pith/MK5QUFJIS5XSYJ4PYOARZL32ZM.json","view_paper":"https://pith.science/paper/MK5QUFJI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.08770&json=true","fetch_graph":"https://pith.science/api/pith-number/MK5QUFJIS5XSYJ4PYOARZL32ZM/graph.json","fetch_events":"https://pith.science/api/pith-number/MK5QUFJIS5XSYJ4PYOARZL32ZM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MK5QUFJIS5XSYJ4PYOARZL32ZM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MK5QUFJIS5XSYJ4PYOARZL32ZM/action/storage_attestation","attest_author":"https://pith.science/pith/MK5QUFJIS5XSYJ4PYOARZL32ZM/action/author_attestation","sign_citation":"https://pith.science/pith/MK5QUFJIS5XSYJ4PYOARZL32ZM/action/citation_signature","submit_replication":"https://pith.science/pith/MK5QUFJIS5XSYJ4PYOARZL32ZM/action/replication_record"}},"created_at":"2026-05-17T23:49:22.746715+00:00","updated_at":"2026-05-17T23:49:22.746715+00:00"}