{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:FZNWH3MBZYJVTGNVJYBFSPFZ7S","short_pith_number":"pith:FZNWH3MB","schema_version":"1.0","canonical_sha256":"2e5b63ed81ce135999b54e02593cb9fcad6d6c995a1849fe3592eecb9adb9f3b","source":{"kind":"arxiv","id":"2608.00757","version":1},"attestation_state":"computed","paper":{"title":"The moving bar problem: an electromechanical damped oscillator","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"Carlos E. Alvarez","submitted_at":"2026-08-01T16:41:31Z","abstract_excerpt":"The conducting bar sliding on rails through a uniform magnetic field is a standard textbook illustration of Faraday's law, almost always solved assuming the magnetic field produced by the induced current is negligible. We extend this classic problem by retaining the self-induced field: modelling the circuit as a rectangular loop of round wire of radius $d$, we compute in closed form its geometry-dependent self-inductance $L(x,l)$ and its gradient $dL/dx$ from the Biot--Savart law, including the flux inside the wire and at the corners. The bar then obeys coupled mechanical--electrical equations"},"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":"2608.00757","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.class-ph","submitted_at":"2026-08-01T16:41:31Z","cross_cats_sorted":[],"title_canon_sha256":"6833daa6a62bf1ec3bc3d10c36414161671da12e3e14991bbedf32c4417fbba8","abstract_canon_sha256":"831145bd40771976df9c940886c178909dd8f191f501819837bb1accca6a7947"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-04T01:54:53.162887Z","signature_b64":"+50ulPJRDDbOKx7pEa9Cgvn3Ke8tyGlyaaYN8siC7Ss0SFbkFUw2DUxHe3w382oAG4KeUEo5XUPhU3NKWF0lBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e5b63ed81ce135999b54e02593cb9fcad6d6c995a1849fe3592eecb9adb9f3b","last_reissued_at":"2026-08-04T01:54:53.161329Z","signature_status":"signed_v1","first_computed_at":"2026-08-04T01:54:53.161329Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The moving bar problem: an electromechanical damped oscillator","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"Carlos E. Alvarez","submitted_at":"2026-08-01T16:41:31Z","abstract_excerpt":"The conducting bar sliding on rails through a uniform magnetic field is a standard textbook illustration of Faraday's law, almost always solved assuming the magnetic field produced by the induced current is negligible. We extend this classic problem by retaining the self-induced field: modelling the circuit as a rectangular loop of round wire of radius $d$, we compute in closed form its geometry-dependent self-inductance $L(x,l)$ and its gradient $dL/dx$ from the Biot--Savart law, including the flux inside the wire and at the corners. The bar then obeys coupled mechanical--electrical equations"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.00757","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.00757/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":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":"2608.00757","created_at":"2026-08-04T01:54:53.162629+00:00"},{"alias_kind":"arxiv_version","alias_value":"2608.00757v1","created_at":"2026-08-04T01:54:53.162629+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.00757","created_at":"2026-08-04T01:54:53.162629+00:00"},{"alias_kind":"pith_short_12","alias_value":"FZNWH3MBZYJV","created_at":"2026-08-04T01:54:53.162629+00:00"},{"alias_kind":"pith_short_16","alias_value":"FZNWH3MBZYJVTGNV","created_at":"2026-08-04T01:54:53.162629+00:00"},{"alias_kind":"pith_short_8","alias_value":"FZNWH3MB","created_at":"2026-08-04T01:54:53.162629+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/FZNWH3MBZYJVTGNVJYBFSPFZ7S","json":"https://pith.science/pith/FZNWH3MBZYJVTGNVJYBFSPFZ7S.json","graph_json":"https://pith.science/api/pith-number/FZNWH3MBZYJVTGNVJYBFSPFZ7S/graph.json","events_json":"https://pith.science/api/pith-number/FZNWH3MBZYJVTGNVJYBFSPFZ7S/events.json","paper":"https://pith.science/paper/FZNWH3MB"},"agent_actions":{"view_html":"https://pith.science/pith/FZNWH3MBZYJVTGNVJYBFSPFZ7S","download_json":"https://pith.science/pith/FZNWH3MBZYJVTGNVJYBFSPFZ7S.json","view_paper":"https://pith.science/paper/FZNWH3MB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2608.00757&json=true","fetch_graph":"https://pith.science/api/pith-number/FZNWH3MBZYJVTGNVJYBFSPFZ7S/graph.json","fetch_events":"https://pith.science/api/pith-number/FZNWH3MBZYJVTGNVJYBFSPFZ7S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FZNWH3MBZYJVTGNVJYBFSPFZ7S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FZNWH3MBZYJVTGNVJYBFSPFZ7S/action/storage_attestation","attest_author":"https://pith.science/pith/FZNWH3MBZYJVTGNVJYBFSPFZ7S/action/author_attestation","sign_citation":"https://pith.science/pith/FZNWH3MBZYJVTGNVJYBFSPFZ7S/action/citation_signature","submit_replication":"https://pith.science/pith/FZNWH3MBZYJVTGNVJYBFSPFZ7S/action/replication_record"}},"created_at":"2026-08-04T01:54:53.162629+00:00","updated_at":"2026-08-04T01:54:53.162629+00:00"}