{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:U4IBX7QFGMYEPTVBNNWDWJVEPU","short_pith_number":"pith:U4IBX7QF","schema_version":"1.0","canonical_sha256":"a7101bfe05333047cea16b6c3b26a47d1686569832e924ca92e258d29eab8731","source":{"kind":"arxiv","id":"2601.06811","version":10},"attestation_state":"computed","paper":{"title":"Two-dimensional FrBD friction models for rolling contact","license":"http://creativecommons.org/licenses/by/4.0/","headline":"A two-dimensional FrBD model for rolling contact eliminates sliding velocity via the Implicit Function Theorem and preserves passivity in its linear formulations for nearly all practical parameters.","cross_cats":[],"primary_cat":"physics.app-ph","authors_text":"Luigi Romano","submitted_at":"2026-01-11T08:50:45Z","abstract_excerpt":"This paper develops a comprehensive two-dimensional generalisation of the recently introduced Friction with Bristle Dynamics (FrBD) framework for rolling contact problems. The proposed formulation extends the one-dimensional FrBD model to accommodate simultaneous longitudinal and lateral slips, spin, and arbitrary transport kinematics over a finite contact region. The derivation combines a rheological representation of the bristle element with an analytical local sliding-friction law. By relying on an application of the Implicit Function Theorem, the notion of sliding velocity is then eliminat"},"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":true},"canonical_record":{"source":{"id":"2601.06811","kind":"arxiv","version":10},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.app-ph","submitted_at":"2026-01-11T08:50:45Z","cross_cats_sorted":[],"title_canon_sha256":"684cc7755fcab7c5ec5a14c7fae81a9dc9920843f031c04d9c525b46f73b8b10","abstract_canon_sha256":"c70f19066ea9fa9891b065b6366085204dd88c7caeb628a2e2c4b4e07a216b17"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-02T02:04:49.895343Z","signature_b64":"2MkeRiYZ8BsPhF+vDAxUU2E94bKBIkvIrjkaU2eHlUOiWNqdOPy6yQGhBq9GlQGrtrEknPpXkTlHSUcQ9N5IBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7101bfe05333047cea16b6c3b26a47d1686569832e924ca92e258d29eab8731","last_reissued_at":"2026-06-02T02:04:49.894778Z","signature_status":"signed_v1","first_computed_at":"2026-06-02T02:04:49.894778Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Two-dimensional FrBD friction models for rolling contact","license":"http://creativecommons.org/licenses/by/4.0/","headline":"A two-dimensional FrBD model for rolling contact eliminates sliding velocity via the Implicit Function Theorem and preserves passivity in its linear formulations for nearly all practical parameters.","cross_cats":[],"primary_cat":"physics.app-ph","authors_text":"Luigi Romano","submitted_at":"2026-01-11T08:50:45Z","abstract_excerpt":"This paper develops a comprehensive two-dimensional generalisation of the recently introduced Friction with Bristle Dynamics (FrBD) framework for rolling contact problems. The proposed formulation extends the one-dimensional FrBD model to accommodate simultaneous longitudinal and lateral slips, spin, and arbitrary transport kinematics over a finite contact region. The derivation combines a rheological representation of the bristle element with an analytical local sliding-friction law. By relying on an application of the Implicit Function Theorem, the notion of sliding velocity is then eliminat"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"For the linear formulations, the analysis reveals that the model preserves passivity under almost any parametrisation of practical interest.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The derivation relies on the Implicit Function Theorem being applicable to eliminate sliding velocity, which requires the local sliding-friction law to satisfy suitable invertibility conditions that are not verified in the abstract.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A two-dimensional dynamic friction model for rolling contact is obtained by generalizing the FrBD framework, combining a rheological bristle representation with an analytical sliding law, and using the Implicit Function Theorem to eliminate sliding velocity.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A two-dimensional FrBD model for rolling contact eliminates sliding velocity via the Implicit Function Theorem and preserves passivity in its linear formulations for nearly all practical parameters.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"6eb3c5febbcdbd3b3158723aad10e15e8dc65b71e4ab5bd3cba6818228c7885d"},"source":{"id":"2601.06811","kind":"arxiv","version":10},"verdict":{"id":"1cb21a47-dfce-4c9d-a40f-2d88214240ee","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-16T15:38:24.436674Z","strongest_claim":"For the linear formulations, the analysis reveals that the model preserves passivity under almost any parametrisation of practical interest.","one_line_summary":"A two-dimensional dynamic friction model for rolling contact is obtained by generalizing the FrBD framework, combining a rheological bristle representation with an analytical sliding law, and using the Implicit Function Theorem to eliminate sliding velocity.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The derivation relies on the Implicit Function Theorem being applicable to eliminate sliding velocity, which requires the local sliding-friction law to satisfy suitable invertibility conditions that are not verified in the abstract.","pith_extraction_headline":"A two-dimensional FrBD model for rolling contact eliminates sliding velocity via the Implicit Function Theorem and preserves passivity in its linear formulations for nearly all practical parameters."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2601.06811/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"8ea66abbe43e3077a04ce9ed7c1c41f4df36d25f8cf1863b774eae8d8b79ed10"},"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":"2601.06811","created_at":"2026-06-02T02:04:49.894841+00:00"},{"alias_kind":"arxiv_version","alias_value":"2601.06811v10","created_at":"2026-06-02T02:04:49.894841+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.06811","created_at":"2026-06-02T02:04:49.894841+00:00"},{"alias_kind":"pith_short_12","alias_value":"U4IBX7QFGMYE","created_at":"2026-06-02T02:04:49.894841+00:00"},{"alias_kind":"pith_short_16","alias_value":"U4IBX7QFGMYEPTVB","created_at":"2026-06-02T02:04:49.894841+00:00"},{"alias_kind":"pith_short_8","alias_value":"U4IBX7QF","created_at":"2026-06-02T02:04:49.894841+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":2,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/U4IBX7QFGMYEPTVBNNWDWJVEPU","json":"https://pith.science/pith/U4IBX7QFGMYEPTVBNNWDWJVEPU.json","graph_json":"https://pith.science/api/pith-number/U4IBX7QFGMYEPTVBNNWDWJVEPU/graph.json","events_json":"https://pith.science/api/pith-number/U4IBX7QFGMYEPTVBNNWDWJVEPU/events.json","paper":"https://pith.science/paper/U4IBX7QF"},"agent_actions":{"view_html":"https://pith.science/pith/U4IBX7QFGMYEPTVBNNWDWJVEPU","download_json":"https://pith.science/pith/U4IBX7QFGMYEPTVBNNWDWJVEPU.json","view_paper":"https://pith.science/paper/U4IBX7QF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2601.06811&json=true","fetch_graph":"https://pith.science/api/pith-number/U4IBX7QFGMYEPTVBNNWDWJVEPU/graph.json","fetch_events":"https://pith.science/api/pith-number/U4IBX7QFGMYEPTVBNNWDWJVEPU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U4IBX7QFGMYEPTVBNNWDWJVEPU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U4IBX7QFGMYEPTVBNNWDWJVEPU/action/storage_attestation","attest_author":"https://pith.science/pith/U4IBX7QFGMYEPTVBNNWDWJVEPU/action/author_attestation","sign_citation":"https://pith.science/pith/U4IBX7QFGMYEPTVBNNWDWJVEPU/action/citation_signature","submit_replication":"https://pith.science/pith/U4IBX7QFGMYEPTVBNNWDWJVEPU/action/replication_record"}},"created_at":"2026-06-02T02:04:49.894841+00:00","updated_at":"2026-06-02T02:04:49.894841+00:00"}