{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:TSNN2W54ALAMO35PTJJO4HKOYF","short_pith_number":"pith:TSNN2W54","schema_version":"1.0","canonical_sha256":"9c9add5bbc02c0c76faf9a52ee1d4ec163e097df483d741f3955a4406f00c4a6","source":{"kind":"arxiv","id":"1405.4690","version":1},"attestation_state":"computed","paper":{"title":"Lack of diamagnetism and the Little-Parks effect","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"Mikael Persson Sundqvist, S{\\o}ren Fournais","submitted_at":"2014-05-19T12:05:38Z","abstract_excerpt":"When a superconducting sample is submitted to a sufficiently strong external magnetic field, the superconductivity of the material is lost. In this paper we prove that this effect does not, in general, take place at a unique value of the external magnetic field strength. Indeed, for a sample in the shape of a narrow annulus the set of magnetic field strengths for which the sample is superconducting is not an interval. This is a rigorous justification of the Little-Parks effect. We also show that the same oscillation effect can happen for disc-shaped samples if the external magnetic field is no"},"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":"1405.4690","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-05-19T12:05:38Z","cross_cats_sorted":[],"title_canon_sha256":"282fa78ec5f77ed8844c72a3798283aaad1a6bf13a6b420d128ad4f3440620d3","abstract_canon_sha256":"19f78d38e6762985177b15a0c4d33ab8bdb15a96ae790efeedd501f9a206b2e6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:43:11.028084Z","signature_b64":"pel2EFuCzMnA8xLHhYsiVlyzeG51F4g/NtyvSGquwI6HOHAPKLfaS3Zw8LaBWwaFiswMaI7MLYTFj0n+rZySAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c9add5bbc02c0c76faf9a52ee1d4ec163e097df483d741f3955a4406f00c4a6","last_reissued_at":"2026-05-18T01:43:11.027398Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:43:11.027398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lack of diamagnetism and the Little-Parks effect","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"Mikael Persson Sundqvist, S{\\o}ren Fournais","submitted_at":"2014-05-19T12:05:38Z","abstract_excerpt":"When a superconducting sample is submitted to a sufficiently strong external magnetic field, the superconductivity of the material is lost. In this paper we prove that this effect does not, in general, take place at a unique value of the external magnetic field strength. Indeed, for a sample in the shape of a narrow annulus the set of magnetic field strengths for which the sample is superconducting is not an interval. This is a rigorous justification of the Little-Parks effect. We also show that the same oscillation effect can happen for disc-shaped samples if the external magnetic field is no"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.4690","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":""},"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":"1405.4690","created_at":"2026-05-18T01:43:11.027510+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.4690v1","created_at":"2026-05-18T01:43:11.027510+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.4690","created_at":"2026-05-18T01:43:11.027510+00:00"},{"alias_kind":"pith_short_12","alias_value":"TSNN2W54ALAM","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_16","alias_value":"TSNN2W54ALAMO35P","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_8","alias_value":"TSNN2W54","created_at":"2026-05-18T12:28:52.271510+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/TSNN2W54ALAMO35PTJJO4HKOYF","json":"https://pith.science/pith/TSNN2W54ALAMO35PTJJO4HKOYF.json","graph_json":"https://pith.science/api/pith-number/TSNN2W54ALAMO35PTJJO4HKOYF/graph.json","events_json":"https://pith.science/api/pith-number/TSNN2W54ALAMO35PTJJO4HKOYF/events.json","paper":"https://pith.science/paper/TSNN2W54"},"agent_actions":{"view_html":"https://pith.science/pith/TSNN2W54ALAMO35PTJJO4HKOYF","download_json":"https://pith.science/pith/TSNN2W54ALAMO35PTJJO4HKOYF.json","view_paper":"https://pith.science/paper/TSNN2W54","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.4690&json=true","fetch_graph":"https://pith.science/api/pith-number/TSNN2W54ALAMO35PTJJO4HKOYF/graph.json","fetch_events":"https://pith.science/api/pith-number/TSNN2W54ALAMO35PTJJO4HKOYF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TSNN2W54ALAMO35PTJJO4HKOYF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TSNN2W54ALAMO35PTJJO4HKOYF/action/storage_attestation","attest_author":"https://pith.science/pith/TSNN2W54ALAMO35PTJJO4HKOYF/action/author_attestation","sign_citation":"https://pith.science/pith/TSNN2W54ALAMO35PTJJO4HKOYF/action/citation_signature","submit_replication":"https://pith.science/pith/TSNN2W54ALAMO35PTJJO4HKOYF/action/replication_record"}},"created_at":"2026-05-18T01:43:11.027510+00:00","updated_at":"2026-05-18T01:43:11.027510+00:00"}