{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:B5GDKCKCYZIYYH5BV6ZMGZLDT3","short_pith_number":"pith:B5GDKCKC","canonical_record":{"source":{"id":"1807.09028","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-07-24T10:46:23Z","cross_cats_sorted":["cs.NA","math-ph","math.MP","math.NA"],"title_canon_sha256":"64b6f82f9dcdeb9e550fff61e8cb45a593f040109006ecdfe138044898ea1cb9","abstract_canon_sha256":"06393839c0f95bdee951cfeb31908e94de1cd48a0415a07baa85f4ded94a1d61"},"schema_version":"1.0"},"canonical_sha256":"0f4c350942c6518c1fa1afb2c365639ec51effb5bca4027f3ac6fac8b861919e","source":{"kind":"arxiv","id":"1807.09028","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.09028","created_at":"2026-06-04T19:12:08Z"},{"alias_kind":"arxiv_version","alias_value":"1807.09028v1","created_at":"2026-06-04T19:12:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.09028","created_at":"2026-06-04T19:12:08Z"},{"alias_kind":"pith_short_12","alias_value":"B5GDKCKCYZIY","created_at":"2026-06-04T19:12:08Z"},{"alias_kind":"pith_short_16","alias_value":"B5GDKCKCYZIYYH5B","created_at":"2026-06-04T19:12:08Z"},{"alias_kind":"pith_short_8","alias_value":"B5GDKCKC","created_at":"2026-06-04T19:12:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:B5GDKCKCYZIYYH5BV6ZMGZLDT3","target":"record","payload":{"canonical_record":{"source":{"id":"1807.09028","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-07-24T10:46:23Z","cross_cats_sorted":["cs.NA","math-ph","math.MP","math.NA"],"title_canon_sha256":"64b6f82f9dcdeb9e550fff61e8cb45a593f040109006ecdfe138044898ea1cb9","abstract_canon_sha256":"06393839c0f95bdee951cfeb31908e94de1cd48a0415a07baa85f4ded94a1d61"},"schema_version":"1.0"},"canonical_sha256":"0f4c350942c6518c1fa1afb2c365639ec51effb5bca4027f3ac6fac8b861919e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T19:12:08.974685Z","signature_b64":"oBsUqC9r65Md6P5Vk4R+HwQVyNIAdBxwMhei+AQ/n9GEp5KJLkTcskJ/QJ3XD/Bo13tG31pry4EXZucZbDDJAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f4c350942c6518c1fa1afb2c365639ec51effb5bca4027f3ac6fac8b861919e","last_reissued_at":"2026-06-04T19:12:08.974193Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T19:12:08.974193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.09028","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":"2026-06-04T19:12:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N3lWKX+VQ1cCbvKepXg3k2Vsq78GCXqeTS/sUKDcIWrmZywYsr+0dQojmczwsOIk2r/dfmuV8tZ9f7urBak5AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T21:47:37.204675Z"},"content_sha256":"cd77468d2b0a44c7b3e0ad6b267ea362d69b866b947844d565801ebc6a01ef0c","schema_version":"1.0","event_id":"sha256:cd77468d2b0a44c7b3e0ad6b267ea362d69b866b947844d565801ebc6a01ef0c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:B5GDKCKCYZIYYH5BV6ZMGZLDT3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the semiclassical Laplacian with magnetic field having self-intersecting zero set","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math-ph","math.MP","math.NA"],"primary_cat":"math.AP","authors_text":"Jean-Philippe Miqueu (IRMAR), Monique Dauge (IRMAR), Nicolas Raymond (IRMAR)","submitted_at":"2018-07-24T10:46:23Z","abstract_excerpt":"This paper is devoted to the spectral analysis of the Neumann realization of the 2D magnetic Laplacian with semiclassical parameter h > 0 in the case when the magnetic field vanishes along a smooth curve which crosses itself inside a bounded domain. We investigate the behavior of its eigenpairs in the limit h $\\rightarrow$ 0. We show that each crossing point acts as a potential well, generating a new decay scale of h 3/2 for the lowest eigenvalues, as well as exponential concentration for eigenvectors around the set of crossing points. These properties are consequences of the nature of associa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.09028","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/1807.09028/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-04T19:12:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"47TYeXOUwUbxdkWV/a5Wl/gL0Hm1RqOiBMNrnZ/eIIOKBwl+TxQu+l8ABovF+H8Q90FlMaRU3W6nv1mJWkmqBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T21:47:37.205066Z"},"content_sha256":"b6a8fea2d5ba6e3d248048518f43c20b1767208f93b8f4eb9d462485c03ee7fe","schema_version":"1.0","event_id":"sha256:b6a8fea2d5ba6e3d248048518f43c20b1767208f93b8f4eb9d462485c03ee7fe"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B5GDKCKCYZIYYH5BV6ZMGZLDT3/bundle.json","state_url":"https://pith.science/pith/B5GDKCKCYZIYYH5BV6ZMGZLDT3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B5GDKCKCYZIYYH5BV6ZMGZLDT3/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":"2026-06-10T21:47:37Z","links":{"resolver":"https://pith.science/pith/B5GDKCKCYZIYYH5BV6ZMGZLDT3","bundle":"https://pith.science/pith/B5GDKCKCYZIYYH5BV6ZMGZLDT3/bundle.json","state":"https://pith.science/pith/B5GDKCKCYZIYYH5BV6ZMGZLDT3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B5GDKCKCYZIYYH5BV6ZMGZLDT3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:B5GDKCKCYZIYYH5BV6ZMGZLDT3","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":"06393839c0f95bdee951cfeb31908e94de1cd48a0415a07baa85f4ded94a1d61","cross_cats_sorted":["cs.NA","math-ph","math.MP","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-07-24T10:46:23Z","title_canon_sha256":"64b6f82f9dcdeb9e550fff61e8cb45a593f040109006ecdfe138044898ea1cb9"},"schema_version":"1.0","source":{"id":"1807.09028","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.09028","created_at":"2026-06-04T19:12:08Z"},{"alias_kind":"arxiv_version","alias_value":"1807.09028v1","created_at":"2026-06-04T19:12:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.09028","created_at":"2026-06-04T19:12:08Z"},{"alias_kind":"pith_short_12","alias_value":"B5GDKCKCYZIY","created_at":"2026-06-04T19:12:08Z"},{"alias_kind":"pith_short_16","alias_value":"B5GDKCKCYZIYYH5B","created_at":"2026-06-04T19:12:08Z"},{"alias_kind":"pith_short_8","alias_value":"B5GDKCKC","created_at":"2026-06-04T19:12:08Z"}],"graph_snapshots":[{"event_id":"sha256:b6a8fea2d5ba6e3d248048518f43c20b1767208f93b8f4eb9d462485c03ee7fe","target":"graph","created_at":"2026-06-04T19:12:08Z","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/1807.09028/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper is devoted to the spectral analysis of the Neumann realization of the 2D magnetic Laplacian with semiclassical parameter h > 0 in the case when the magnetic field vanishes along a smooth curve which crosses itself inside a bounded domain. We investigate the behavior of its eigenpairs in the limit h $\\rightarrow$ 0. We show that each crossing point acts as a potential well, generating a new decay scale of h 3/2 for the lowest eigenvalues, as well as exponential concentration for eigenvectors around the set of crossing points. These properties are consequences of the nature of associa","authors_text":"Jean-Philippe Miqueu (IRMAR), Monique Dauge (IRMAR), Nicolas Raymond (IRMAR)","cross_cats":["cs.NA","math-ph","math.MP","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-07-24T10:46:23Z","title":"On the semiclassical Laplacian with magnetic field having self-intersecting zero set"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.09028","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:cd77468d2b0a44c7b3e0ad6b267ea362d69b866b947844d565801ebc6a01ef0c","target":"record","created_at":"2026-06-04T19:12:08Z","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":"06393839c0f95bdee951cfeb31908e94de1cd48a0415a07baa85f4ded94a1d61","cross_cats_sorted":["cs.NA","math-ph","math.MP","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-07-24T10:46:23Z","title_canon_sha256":"64b6f82f9dcdeb9e550fff61e8cb45a593f040109006ecdfe138044898ea1cb9"},"schema_version":"1.0","source":{"id":"1807.09028","kind":"arxiv","version":1}},"canonical_sha256":"0f4c350942c6518c1fa1afb2c365639ec51effb5bca4027f3ac6fac8b861919e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f4c350942c6518c1fa1afb2c365639ec51effb5bca4027f3ac6fac8b861919e","first_computed_at":"2026-06-04T19:12:08.974193Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T19:12:08.974193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oBsUqC9r65Md6P5Vk4R+HwQVyNIAdBxwMhei+AQ/n9GEp5KJLkTcskJ/QJ3XD/Bo13tG31pry4EXZucZbDDJAA==","signature_status":"signed_v1","signed_at":"2026-06-04T19:12:08.974685Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.09028","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd77468d2b0a44c7b3e0ad6b267ea362d69b866b947844d565801ebc6a01ef0c","sha256:b6a8fea2d5ba6e3d248048518f43c20b1767208f93b8f4eb9d462485c03ee7fe"],"state_sha256":"7173938b4d99d40ffb456be5c55b97f24fdb107fd94cba046a4e286c5148ed81"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/NLLrwk+wtOjWPGZnw9Mqxx5BUWifLeNXv3Aj9ViZwXnsVNK3BBCg/dhXb0yenaHGPN2TTmEDTWFhFThx6TmCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T21:47:37.207154Z","bundle_sha256":"3c1d984f9f8bb1b72fc3863285b30e942ec06dc9698dfd3f7b31069d18566c10"}}