{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:7VDKPNU2CUXSUJF4YBMCMO4FVF","short_pith_number":"pith:7VDKPNU2","canonical_record":{"source":{"id":"1504.04077","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-04-16T01:19:26Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"549d515476c3bfd07c6f78dc262da2ff3df26d9e2715a69b888c7fe0cf16c714","abstract_canon_sha256":"4bd1a14a8dcf00123a73aa4a2b1709bb216a7ccb33e030474828c897acedf107"},"schema_version":"1.0"},"canonical_sha256":"fd46a7b69a152f2a24bcc058263b85a95efe0f9d31ddbe05e471222b488199f6","source":{"kind":"arxiv","id":"1504.04077","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.04077","created_at":"2026-05-18T02:18:39Z"},{"alias_kind":"arxiv_version","alias_value":"1504.04077v1","created_at":"2026-05-18T02:18:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.04077","created_at":"2026-05-18T02:18:39Z"},{"alias_kind":"pith_short_12","alias_value":"7VDKPNU2CUXS","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7VDKPNU2CUXSUJF4","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7VDKPNU2","created_at":"2026-05-18T12:29:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:7VDKPNU2CUXSUJF4YBMCMO4FVF","target":"record","payload":{"canonical_record":{"source":{"id":"1504.04077","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-04-16T01:19:26Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"549d515476c3bfd07c6f78dc262da2ff3df26d9e2715a69b888c7fe0cf16c714","abstract_canon_sha256":"4bd1a14a8dcf00123a73aa4a2b1709bb216a7ccb33e030474828c897acedf107"},"schema_version":"1.0"},"canonical_sha256":"fd46a7b69a152f2a24bcc058263b85a95efe0f9d31ddbe05e471222b488199f6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:39.989384Z","signature_b64":"K/G9LOGvmAZbp4DCHqe/Ms1bORyyA7C4vUOQ8pZr2BcADPuP6jR4jN0hF65NHAUgyDjrN85w2oycvlvvwUZ3Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd46a7b69a152f2a24bcc058263b85a95efe0f9d31ddbe05e471222b488199f6","last_reissued_at":"2026-05-18T02:18:39.988652Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:39.988652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.04077","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:18:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9BHuNvwng3I0r52Gj+ENDhxTmj+hjo1uLpF5vxoTBvmmOWMJeKkbF5c765ANP/FJqzcGhu+pt45zK8A9dfP1Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T05:12:55.680531Z"},"content_sha256":"bc7f52ea23d95acf995c4617451331969ba8c63f485417913eb6063300727cc8","schema_version":"1.0","event_id":"sha256:bc7f52ea23d95acf995c4617451331969ba8c63f485417913eb6063300727cc8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:7VDKPNU2CUXSUJF4YBMCMO4FVF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamical localization of Dirac particles in electromagnetic fields with dominating magnetic potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Amal Taarabt, Edgardo Stockmeyer, Jean-Marie Barbaroux, Josef Mehringer","submitted_at":"2015-04-16T01:19:26Z","abstract_excerpt":"We consider two-dimensional massless Dirac operators in a radially symmetric electromagnetic field. In this case the fields may be described by one-dimensional electric and magnetic potentials $V$ and $A$. We show dynamical localization in the regime when $\\displaystyle\\lim_{r\\to\\infty}|V|/|A |<1$, where dense point spectrum occurs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.04077","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:18:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0xhiIXzm1KtoW9UZbvYOdr+ELz8JYCRiNPveydpnT+tdbaa+ZndP6wogMMKYxfPVlVk2k8BSJAtu6ez4n0gnAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T05:12:55.681097Z"},"content_sha256":"bcb77078aab3b42c4cef0a509dde5bc0ad94743cd609a661dd18aee1437b0e60","schema_version":"1.0","event_id":"sha256:bcb77078aab3b42c4cef0a509dde5bc0ad94743cd609a661dd18aee1437b0e60"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7VDKPNU2CUXSUJF4YBMCMO4FVF/bundle.json","state_url":"https://pith.science/pith/7VDKPNU2CUXSUJF4YBMCMO4FVF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7VDKPNU2CUXSUJF4YBMCMO4FVF/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":"2026-05-24T05:12:55Z","links":{"resolver":"https://pith.science/pith/7VDKPNU2CUXSUJF4YBMCMO4FVF","bundle":"https://pith.science/pith/7VDKPNU2CUXSUJF4YBMCMO4FVF/bundle.json","state":"https://pith.science/pith/7VDKPNU2CUXSUJF4YBMCMO4FVF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7VDKPNU2CUXSUJF4YBMCMO4FVF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7VDKPNU2CUXSUJF4YBMCMO4FVF","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":"4bd1a14a8dcf00123a73aa4a2b1709bb216a7ccb33e030474828c897acedf107","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-04-16T01:19:26Z","title_canon_sha256":"549d515476c3bfd07c6f78dc262da2ff3df26d9e2715a69b888c7fe0cf16c714"},"schema_version":"1.0","source":{"id":"1504.04077","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.04077","created_at":"2026-05-18T02:18:39Z"},{"alias_kind":"arxiv_version","alias_value":"1504.04077v1","created_at":"2026-05-18T02:18:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.04077","created_at":"2026-05-18T02:18:39Z"},{"alias_kind":"pith_short_12","alias_value":"7VDKPNU2CUXS","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7VDKPNU2CUXSUJF4","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7VDKPNU2","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:bcb77078aab3b42c4cef0a509dde5bc0ad94743cd609a661dd18aee1437b0e60","target":"graph","created_at":"2026-05-18T02:18:39Z","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":"We consider two-dimensional massless Dirac operators in a radially symmetric electromagnetic field. In this case the fields may be described by one-dimensional electric and magnetic potentials $V$ and $A$. We show dynamical localization in the regime when $\\displaystyle\\lim_{r\\to\\infty}|V|/|A |<1$, where dense point spectrum occurs.","authors_text":"Amal Taarabt, Edgardo Stockmeyer, Jean-Marie Barbaroux, Josef Mehringer","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-04-16T01:19:26Z","title":"Dynamical localization of Dirac particles in electromagnetic fields with dominating magnetic potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.04077","kind":"arxiv","version":1},"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:bc7f52ea23d95acf995c4617451331969ba8c63f485417913eb6063300727cc8","target":"record","created_at":"2026-05-18T02:18:39Z","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":"4bd1a14a8dcf00123a73aa4a2b1709bb216a7ccb33e030474828c897acedf107","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-04-16T01:19:26Z","title_canon_sha256":"549d515476c3bfd07c6f78dc262da2ff3df26d9e2715a69b888c7fe0cf16c714"},"schema_version":"1.0","source":{"id":"1504.04077","kind":"arxiv","version":1}},"canonical_sha256":"fd46a7b69a152f2a24bcc058263b85a95efe0f9d31ddbe05e471222b488199f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fd46a7b69a152f2a24bcc058263b85a95efe0f9d31ddbe05e471222b488199f6","first_computed_at":"2026-05-18T02:18:39.988652Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:39.988652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K/G9LOGvmAZbp4DCHqe/Ms1bORyyA7C4vUOQ8pZr2BcADPuP6jR4jN0hF65NHAUgyDjrN85w2oycvlvvwUZ3Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:39.989384Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.04077","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc7f52ea23d95acf995c4617451331969ba8c63f485417913eb6063300727cc8","sha256:bcb77078aab3b42c4cef0a509dde5bc0ad94743cd609a661dd18aee1437b0e60"],"state_sha256":"01dbf19db7c3de696e6617e6896a25a5103f6d9004638f6f5955b25617587b93"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EbnPMoh0hLcCdolSlLa6qOdu9YeLY2uKVRv9WLH73FXAwyErI0r87LpLnqN+8d0axDXxxL8e18VzHhxGR4QBCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T05:12:55.684958Z","bundle_sha256":"31c6b0e8fcac190f5d1f6ad9da2729862adca7bd54ef268a5a7ae0f04f91ab97"}}