{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:EMJNVFIO4HH2RKYBOBW45MT6AP","short_pith_number":"pith:EMJNVFIO","canonical_record":{"source":{"id":"1111.6107","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2011-11-25T17:01:45Z","cross_cats_sorted":[],"title_canon_sha256":"8d86e6ec0148d35262d94a15adab773ba945872e16032e88904beb74fa8f0911","abstract_canon_sha256":"fcd757a04e53228631b98b3192e767826dc504a96b12e700ba8810cf035488b2"},"schema_version":"1.0"},"canonical_sha256":"2312da950ee1cfa8ab01706dceb27e03eee59f02a6f66484a7f3885066288736","source":{"kind":"arxiv","id":"1111.6107","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.6107","created_at":"2026-05-18T03:29:05Z"},{"alias_kind":"arxiv_version","alias_value":"1111.6107v3","created_at":"2026-05-18T03:29:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6107","created_at":"2026-05-18T03:29:05Z"},{"alias_kind":"pith_short_12","alias_value":"EMJNVFIO4HH2","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EMJNVFIO4HH2RKYB","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EMJNVFIO","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:EMJNVFIO4HH2RKYBOBW45MT6AP","target":"record","payload":{"canonical_record":{"source":{"id":"1111.6107","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2011-11-25T17:01:45Z","cross_cats_sorted":[],"title_canon_sha256":"8d86e6ec0148d35262d94a15adab773ba945872e16032e88904beb74fa8f0911","abstract_canon_sha256":"fcd757a04e53228631b98b3192e767826dc504a96b12e700ba8810cf035488b2"},"schema_version":"1.0"},"canonical_sha256":"2312da950ee1cfa8ab01706dceb27e03eee59f02a6f66484a7f3885066288736","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:29:05.308191Z","signature_b64":"gnTxV2qr84BdHw+HybeeNE1bVLETCBDxTEn72iz/yGn5sxnXa+s+GGXl7U9KOBWt3UglDDSgsk3LTsFUcMZNBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2312da950ee1cfa8ab01706dceb27e03eee59f02a6f66484a7f3885066288736","last_reissued_at":"2026-05-18T03:29:05.307693Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:29:05.307693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.6107","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:29:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"saVD2+PoRditJfwdLLaYvQoTQq81zUlb406KeWWilYufV93RVH2FVR0JtmIV6jpIoK6kPke3+5M/sAYmWATODA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T20:57:45.058555Z"},"content_sha256":"695389bc051ebd5f878b63695c59fa01ca5a92d76445a652137dd148c11f086f","schema_version":"1.0","event_id":"sha256:695389bc051ebd5f878b63695c59fa01ca5a92d76445a652137dd148c11f086f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:EMJNVFIO4HH2RKYBOBW45MT6AP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Electron wave-functions in a magnetic field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"D. K. Sunko","submitted_at":"2011-11-25T17:01:45Z","abstract_excerpt":"The problem of a single electron in a magnetic field is revisited from first principles. It is shown that the standard quantization, used by Landau, is inconsistent for this problem, whence Landau's wave functions spontaneously break the gauge symmetry of translations in the plane. Because of this Landau's (and Fock's) wave functions have a spurious second quantum number. The one-body wave function of the physical orbit, with only one quantum number, is derived, and expressed as a superposition of Landau's wave functions. Conversely, it is shown that Landau's wave functions are a limiting case"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6107","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:29:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FAP/WMav2fqRcqF4wOb2a1N+7FOwCBRqvfg6WgvQqN+yg2BM1hvjHJhB0+8wcR93ldQAODcefKPfMlVg32tsBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T20:57:45.058905Z"},"content_sha256":"0bb579eb5212e819ecf4be5abff06dd016813ce9df0b77c2a2849b6ee49de593","schema_version":"1.0","event_id":"sha256:0bb579eb5212e819ecf4be5abff06dd016813ce9df0b77c2a2849b6ee49de593"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EMJNVFIO4HH2RKYBOBW45MT6AP/bundle.json","state_url":"https://pith.science/pith/EMJNVFIO4HH2RKYBOBW45MT6AP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EMJNVFIO4HH2RKYBOBW45MT6AP/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-29T20:57:45Z","links":{"resolver":"https://pith.science/pith/EMJNVFIO4HH2RKYBOBW45MT6AP","bundle":"https://pith.science/pith/EMJNVFIO4HH2RKYBOBW45MT6AP/bundle.json","state":"https://pith.science/pith/EMJNVFIO4HH2RKYBOBW45MT6AP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EMJNVFIO4HH2RKYBOBW45MT6AP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:EMJNVFIO4HH2RKYBOBW45MT6AP","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":"fcd757a04e53228631b98b3192e767826dc504a96b12e700ba8810cf035488b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2011-11-25T17:01:45Z","title_canon_sha256":"8d86e6ec0148d35262d94a15adab773ba945872e16032e88904beb74fa8f0911"},"schema_version":"1.0","source":{"id":"1111.6107","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.6107","created_at":"2026-05-18T03:29:05Z"},{"alias_kind":"arxiv_version","alias_value":"1111.6107v3","created_at":"2026-05-18T03:29:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6107","created_at":"2026-05-18T03:29:05Z"},{"alias_kind":"pith_short_12","alias_value":"EMJNVFIO4HH2","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EMJNVFIO4HH2RKYB","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EMJNVFIO","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:0bb579eb5212e819ecf4be5abff06dd016813ce9df0b77c2a2849b6ee49de593","target":"graph","created_at":"2026-05-18T03:29:05Z","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"},"paper":{"abstract_excerpt":"The problem of a single electron in a magnetic field is revisited from first principles. It is shown that the standard quantization, used by Landau, is inconsistent for this problem, whence Landau's wave functions spontaneously break the gauge symmetry of translations in the plane. Because of this Landau's (and Fock's) wave functions have a spurious second quantum number. The one-body wave function of the physical orbit, with only one quantum number, is derived, and expressed as a superposition of Landau's wave functions. Conversely, it is shown that Landau's wave functions are a limiting case","authors_text":"D. K. Sunko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2011-11-25T17:01:45Z","title":"Electron wave-functions in a magnetic field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6107","kind":"arxiv","version":3},"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":"sha256:695389bc051ebd5f878b63695c59fa01ca5a92d76445a652137dd148c11f086f","target":"record","created_at":"2026-05-18T03:29:05Z","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":"fcd757a04e53228631b98b3192e767826dc504a96b12e700ba8810cf035488b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2011-11-25T17:01:45Z","title_canon_sha256":"8d86e6ec0148d35262d94a15adab773ba945872e16032e88904beb74fa8f0911"},"schema_version":"1.0","source":{"id":"1111.6107","kind":"arxiv","version":3}},"canonical_sha256":"2312da950ee1cfa8ab01706dceb27e03eee59f02a6f66484a7f3885066288736","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2312da950ee1cfa8ab01706dceb27e03eee59f02a6f66484a7f3885066288736","first_computed_at":"2026-05-18T03:29:05.307693Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:05.307693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gnTxV2qr84BdHw+HybeeNE1bVLETCBDxTEn72iz/yGn5sxnXa+s+GGXl7U9KOBWt3UglDDSgsk3LTsFUcMZNBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:05.308191Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.6107","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:695389bc051ebd5f878b63695c59fa01ca5a92d76445a652137dd148c11f086f","sha256:0bb579eb5212e819ecf4be5abff06dd016813ce9df0b77c2a2849b6ee49de593"],"state_sha256":"e7ac6738c598ca33d52479e56fc1f046e37466ab1adbcc746178b62b58227bc7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Usz1i0AXH2H+LRRsMfgWJC79iex5MPZ6uNIYbrhaN1fDLqL9nxQMFvgmmx88M/S99IpO2nmBg+YyA7jQO3EnCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T20:57:45.060767Z","bundle_sha256":"6ac0a67027bb0fe26233fac0b8fa9b984ac9bc3cc2b6ce96a3c51c208b8f3d11"}}