{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:WOW3U6LCZRMDJDWWVN7ETQNXWZ","short_pith_number":"pith:WOW3U6LC","schema_version":"1.0","canonical_sha256":"b3adba7962cc58348ed6ab7e49c1b7b645050a336b4c9f0f65dd1e89ed1bcaf3","source":{"kind":"arxiv","id":"1406.6988","version":2},"attestation_state":"computed","paper":{"title":"Fully-implicit log-conformation formulation of constitutive laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","physics.flu-dyn"],"primary_cat":"math.NA","authors_text":"Marek Behr, Philipp Knechtges, Stefanie Elgeti","submitted_at":"2014-06-26T19:15:43Z","abstract_excerpt":"Subject of this paper is the derivation of a new constitutive law in terms of the logarithm of the conformation tensor that can be used as a full substitute for the 2D governing equations of the Oldroyd-B, Giesekus and other models. One of the key features of these new equations is that - in contrast to the original log-conf equations given by Fattal and Kupferman (2004) - these constitutive equations combined with the Navier-Stokes equations constitute a self-contained, non-iterative system of partial differential equations. In addition to its potential as a fruitful source for understanding "},"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":"1406.6988","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-06-26T19:15:43Z","cross_cats_sorted":["math.AP","physics.flu-dyn"],"title_canon_sha256":"fede016076681877eff43c367a1c1e9b3a2b5e501ed24e02621e6f2f9f8a9428","abstract_canon_sha256":"20b0f6cc4d70c053c3de6b07a94a4bdf9277a849c15df690011837e727ebafc4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:35.844251Z","signature_b64":"9z+A1OnxBTi0e26KLKuEb3pvPu/LD9LFumBaExa8uGlwCqiY3Im9ZqfqtRzii2rnjbAh1cYpQ7I+YhCkLJxpCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3adba7962cc58348ed6ab7e49c1b7b645050a336b4c9f0f65dd1e89ed1bcaf3","last_reissued_at":"2026-05-18T02:31:35.843607Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:35.843607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fully-implicit log-conformation formulation of constitutive laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","physics.flu-dyn"],"primary_cat":"math.NA","authors_text":"Marek Behr, Philipp Knechtges, Stefanie Elgeti","submitted_at":"2014-06-26T19:15:43Z","abstract_excerpt":"Subject of this paper is the derivation of a new constitutive law in terms of the logarithm of the conformation tensor that can be used as a full substitute for the 2D governing equations of the Oldroyd-B, Giesekus and other models. One of the key features of these new equations is that - in contrast to the original log-conf equations given by Fattal and Kupferman (2004) - these constitutive equations combined with the Navier-Stokes equations constitute a self-contained, non-iterative system of partial differential equations. In addition to its potential as a fruitful source for understanding "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.6988","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":"1406.6988","created_at":"2026-05-18T02:31:35.843702+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.6988v2","created_at":"2026-05-18T02:31:35.843702+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.6988","created_at":"2026-05-18T02:31:35.843702+00:00"},{"alias_kind":"pith_short_12","alias_value":"WOW3U6LCZRMD","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_16","alias_value":"WOW3U6LCZRMDJDWW","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_8","alias_value":"WOW3U6LC","created_at":"2026-05-18T12:28:54.890064+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/WOW3U6LCZRMDJDWWVN7ETQNXWZ","json":"https://pith.science/pith/WOW3U6LCZRMDJDWWVN7ETQNXWZ.json","graph_json":"https://pith.science/api/pith-number/WOW3U6LCZRMDJDWWVN7ETQNXWZ/graph.json","events_json":"https://pith.science/api/pith-number/WOW3U6LCZRMDJDWWVN7ETQNXWZ/events.json","paper":"https://pith.science/paper/WOW3U6LC"},"agent_actions":{"view_html":"https://pith.science/pith/WOW3U6LCZRMDJDWWVN7ETQNXWZ","download_json":"https://pith.science/pith/WOW3U6LCZRMDJDWWVN7ETQNXWZ.json","view_paper":"https://pith.science/paper/WOW3U6LC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.6988&json=true","fetch_graph":"https://pith.science/api/pith-number/WOW3U6LCZRMDJDWWVN7ETQNXWZ/graph.json","fetch_events":"https://pith.science/api/pith-number/WOW3U6LCZRMDJDWWVN7ETQNXWZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WOW3U6LCZRMDJDWWVN7ETQNXWZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WOW3U6LCZRMDJDWWVN7ETQNXWZ/action/storage_attestation","attest_author":"https://pith.science/pith/WOW3U6LCZRMDJDWWVN7ETQNXWZ/action/author_attestation","sign_citation":"https://pith.science/pith/WOW3U6LCZRMDJDWWVN7ETQNXWZ/action/citation_signature","submit_replication":"https://pith.science/pith/WOW3U6LCZRMDJDWWVN7ETQNXWZ/action/replication_record"}},"created_at":"2026-05-18T02:31:35.843702+00:00","updated_at":"2026-05-18T02:31:35.843702+00:00"}