{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:VDEMHL6VYIKBDFEUNZJ6BH6BZP","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"3d09e34a6cd10d0cbf86dc9663845a12c4dc6544f768578f50d06ddadea74a76","cross_cats_sorted":["cond-mat.mes-hall","math.AP","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-12-30T17:24:48Z","title_canon_sha256":"150c1cc908fa3bae6023eec01cc15b4be04cb80496541bc39cf860e068c78fb5"},"schema_version":"1.0","source":{"id":"2412.21100","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.21100","created_at":"2026-07-05T09:55:37Z"},{"alias_kind":"arxiv_version","alias_value":"2412.21100v2","created_at":"2026-07-05T09:55:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.21100","created_at":"2026-07-05T09:55:37Z"},{"alias_kind":"pith_short_12","alias_value":"VDEMHL6VYIKB","created_at":"2026-07-05T09:55:37Z"},{"alias_kind":"pith_short_16","alias_value":"VDEMHL6VYIKBDFEU","created_at":"2026-07-05T09:55:37Z"},{"alias_kind":"pith_short_8","alias_value":"VDEMHL6V","created_at":"2026-07-05T09:55:37Z"}],"graph_snapshots":[{"event_id":"sha256:6b9a031704d8c12be39eb4d0144078a051dde2619d5cc175ca39bf8724403695","target":"graph","created_at":"2026-07-05T09:55:37Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2412.21100/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present new results on quantum tunneling between deep potential wells, in the presence of a strong constant magnetic field. We construct a family of double well potentials containing examples for which the low-energy eigenvalue splitting vanishes, and hence quantum tunneling is eliminated. Further, by deforming within this family, the magnetic ground state can be made to transition from symmetric to anti-symmetric. However, for typical double wells in a certain regime, tunneling is not suppressed, and we provide a lower bound for the eigenvalue splitting.","authors_text":"Charles L. Fefferman, Jacob Shapiro, Michael I. Weinstein","cross_cats":["cond-mat.mes-hall","math.AP","math.MP","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-12-30T17:24:48Z","title":"Quantum tunneling and its absence in deep wells and strong magnetic fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.21100","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:769f28701528bc9d199a257aa89921d47adc2f50b7300548ebb8140c40d5ee9f","target":"record","created_at":"2026-07-05T09:55:37Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"3d09e34a6cd10d0cbf86dc9663845a12c4dc6544f768578f50d06ddadea74a76","cross_cats_sorted":["cond-mat.mes-hall","math.AP","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-12-30T17:24:48Z","title_canon_sha256":"150c1cc908fa3bae6023eec01cc15b4be04cb80496541bc39cf860e068c78fb5"},"schema_version":"1.0","source":{"id":"2412.21100","kind":"arxiv","version":2}},"canonical_sha256":"a8c8c3afd5c2141194946e53e09fc1cbfa594f79bc1661ca5bd23fad454abfcd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8c8c3afd5c2141194946e53e09fc1cbfa594f79bc1661ca5bd23fad454abfcd","first_computed_at":"2026-07-05T09:55:37.308435Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:55:37.308435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"brzMa2XHvuUqj1uDTW+jRjHFmR178TEJEMo2nczjsQi4n88skEo6YaQ7pyYGI7isHRUjnupuz6PgC8jEtm7bCg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:55:37.308992Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.21100","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:769f28701528bc9d199a257aa89921d47adc2f50b7300548ebb8140c40d5ee9f","sha256:6b9a031704d8c12be39eb4d0144078a051dde2619d5cc175ca39bf8724403695"],"state_sha256":"73df00e73168caa65fb82db6f051a83ba1599629bce03df90317921f565fff0c"}