{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:KCDWKOWCK363KGRWUT4HCDKJZF","short_pith_number":"pith:KCDWKOWC","schema_version":"1.0","canonical_sha256":"5087653ac256fdb51a36a4f8710d49c941091dc75ad897971935456562505a39","source":{"kind":"arxiv","id":"2606.30808","version":1},"attestation_state":"computed","paper":{"title":"Magnetic Dipole in a Cuboidal Superconducting Trap","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.app-ph","quant-ph"],"primary_cat":"cond-mat.supr-con","authors_text":"Francis J. Headley","submitted_at":"2026-06-29T18:32:49Z","abstract_excerpt":"We derive the exact image-dipole potential of a point dipole inside a closed cuboidal superconducting trap. The construction generalises the parallel-plate result to a geometry that confines every translational degree of freedom, and we prove that the image lattice satisfies the Meissner boundary condition on all six walls. For a centred dipole the orientational energy reduces to a diagonal quadratic form whose three coefficients are Epstein-zeta-type lattice sums. We show that in both the infinite and finite rectangular traps the dipole orientation aligns with the \\emph{short} cross-sectional"},"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":"2606.30808","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2026-06-29T18:32:49Z","cross_cats_sorted":["physics.app-ph","quant-ph"],"title_canon_sha256":"9c8d394d4a7ad9899e94402bc7db532259ac1985313f9b21f532156a59c85c47","abstract_canon_sha256":"a743316ff56a45b256e811d87a45184ad3fb6723ea53c92aaaa77a8e405831d3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-01T00:17:18.176394Z","signature_b64":"nOlRcVC/bR2GD2pLHysn+yckQPP5WonWK/mvdDftVGAmy34SGw1dLzFsXW0I6vlM973aIIU/SabhtxUoQoQkCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5087653ac256fdb51a36a4f8710d49c941091dc75ad897971935456562505a39","last_reissued_at":"2026-07-01T00:17:18.175992Z","signature_status":"signed_v1","first_computed_at":"2026-07-01T00:17:18.175992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Magnetic Dipole in a Cuboidal Superconducting Trap","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.app-ph","quant-ph"],"primary_cat":"cond-mat.supr-con","authors_text":"Francis J. Headley","submitted_at":"2026-06-29T18:32:49Z","abstract_excerpt":"We derive the exact image-dipole potential of a point dipole inside a closed cuboidal superconducting trap. The construction generalises the parallel-plate result to a geometry that confines every translational degree of freedom, and we prove that the image lattice satisfies the Meissner boundary condition on all six walls. For a centred dipole the orientational energy reduces to a diagonal quadratic form whose three coefficients are Epstein-zeta-type lattice sums. We show that in both the infinite and finite rectangular traps the dipole orientation aligns with the \\emph{short} cross-sectional"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.30808","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/2606.30808/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":"2606.30808","created_at":"2026-07-01T00:17:18.176043+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.30808v1","created_at":"2026-07-01T00:17:18.176043+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.30808","created_at":"2026-07-01T00:17:18.176043+00:00"},{"alias_kind":"pith_short_12","alias_value":"KCDWKOWCK363","created_at":"2026-07-01T00:17:18.176043+00:00"},{"alias_kind":"pith_short_16","alias_value":"KCDWKOWCK363KGRW","created_at":"2026-07-01T00:17:18.176043+00:00"},{"alias_kind":"pith_short_8","alias_value":"KCDWKOWC","created_at":"2026-07-01T00:17:18.176043+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/KCDWKOWCK363KGRWUT4HCDKJZF","json":"https://pith.science/pith/KCDWKOWCK363KGRWUT4HCDKJZF.json","graph_json":"https://pith.science/api/pith-number/KCDWKOWCK363KGRWUT4HCDKJZF/graph.json","events_json":"https://pith.science/api/pith-number/KCDWKOWCK363KGRWUT4HCDKJZF/events.json","paper":"https://pith.science/paper/KCDWKOWC"},"agent_actions":{"view_html":"https://pith.science/pith/KCDWKOWCK363KGRWUT4HCDKJZF","download_json":"https://pith.science/pith/KCDWKOWCK363KGRWUT4HCDKJZF.json","view_paper":"https://pith.science/paper/KCDWKOWC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.30808&json=true","fetch_graph":"https://pith.science/api/pith-number/KCDWKOWCK363KGRWUT4HCDKJZF/graph.json","fetch_events":"https://pith.science/api/pith-number/KCDWKOWCK363KGRWUT4HCDKJZF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KCDWKOWCK363KGRWUT4HCDKJZF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KCDWKOWCK363KGRWUT4HCDKJZF/action/storage_attestation","attest_author":"https://pith.science/pith/KCDWKOWCK363KGRWUT4HCDKJZF/action/author_attestation","sign_citation":"https://pith.science/pith/KCDWKOWCK363KGRWUT4HCDKJZF/action/citation_signature","submit_replication":"https://pith.science/pith/KCDWKOWCK363KGRWUT4HCDKJZF/action/replication_record"}},"created_at":"2026-07-01T00:17:18.176043+00:00","updated_at":"2026-07-01T00:17:18.176043+00:00"}