{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:X567QHYYRGGRCKUW45C4CGPFZ6","short_pith_number":"pith:X567QHYY","canonical_record":{"source":{"id":"1309.6077","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-24T08:22:51Z","cross_cats_sorted":[],"title_canon_sha256":"1102f5eaa57242b43c8eb7a387d2d5e9da3b469672acae9a42798d510df1b3f2","abstract_canon_sha256":"2b6765c92f60b76841c80190d6d771cc8ddfa8d334ce78a2d42bbd0b3ffdb05f"},"schema_version":"1.0"},"canonical_sha256":"bf7df81f18898d112a96e745c119e5cf87004ac4c3bd821acd5b9ff928b02eee","source":{"kind":"arxiv","id":"1309.6077","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.6077","created_at":"2026-05-18T03:12:24Z"},{"alias_kind":"arxiv_version","alias_value":"1309.6077v1","created_at":"2026-05-18T03:12:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.6077","created_at":"2026-05-18T03:12:24Z"},{"alias_kind":"pith_short_12","alias_value":"X567QHYYRGGR","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"X567QHYYRGGRCKUW","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"X567QHYY","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:X567QHYYRGGRCKUW45C4CGPFZ6","target":"record","payload":{"canonical_record":{"source":{"id":"1309.6077","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-24T08:22:51Z","cross_cats_sorted":[],"title_canon_sha256":"1102f5eaa57242b43c8eb7a387d2d5e9da3b469672acae9a42798d510df1b3f2","abstract_canon_sha256":"2b6765c92f60b76841c80190d6d771cc8ddfa8d334ce78a2d42bbd0b3ffdb05f"},"schema_version":"1.0"},"canonical_sha256":"bf7df81f18898d112a96e745c119e5cf87004ac4c3bd821acd5b9ff928b02eee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:12:24.065418Z","signature_b64":"LsZWUZZnhXnaAnuPf2y5tffo/6js/4bIkIm+XjNjYA4UazcQHfUSuaCaS7f99h520CsVwP2xy0av2M1FyeHWBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf7df81f18898d112a96e745c119e5cf87004ac4c3bd821acd5b9ff928b02eee","last_reissued_at":"2026-05-18T03:12:24.064717Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:12:24.064717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.6077","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":"2026-05-18T03:12:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zxi+GlT42ru+a0PFapgduHFpNnZNcmbP4eYP9rYW0DxGJUf0u+ovxTmkitrhA0vyvKJ5V8RzQp/tcXw/iI23AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:39:13.398446Z"},"content_sha256":"f7b554ab783241a83a1d5fac33f2a9ef614968ea88e978dde16ac705198edf4b","schema_version":"1.0","event_id":"sha256:f7b554ab783241a83a1d5fac33f2a9ef614968ea88e978dde16ac705198edf4b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:X567QHYYRGGRCKUW45C4CGPFZ6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The model magnetic Laplacian on wedges","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Nicolas Popoff","submitted_at":"2013-09-24T08:22:51Z","abstract_excerpt":"We study a model Schr\\\"odinger operator with constan tmagnetic field on an infinite wedge with natural boundary conditions. This problem is related to the semiclassical magnetic Laplacian on 3d domains with edges. We show that the ground energy is lower than the one coming from the regular part of the wedge and is continuous with respect to the geometry. We provide an upper bound for the ground energy on wedges of small opening. Numerical computations enlighten the theoretical approach."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.6077","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":"2026-05-18T03:12:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nME9hwTIexU0SeixT7Y1b+KFchY9ubqFf9GGeKxlam3f/9SmbR34UmjtkRI3BO4FXZdEVXSEhLaprva4XjVKBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:39:13.398788Z"},"content_sha256":"9f85a06170df4259b973a13fbe02f766cde262cd1e80d93d30bee95e98c8abd6","schema_version":"1.0","event_id":"sha256:9f85a06170df4259b973a13fbe02f766cde262cd1e80d93d30bee95e98c8abd6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X567QHYYRGGRCKUW45C4CGPFZ6/bundle.json","state_url":"https://pith.science/pith/X567QHYYRGGRCKUW45C4CGPFZ6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X567QHYYRGGRCKUW45C4CGPFZ6/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":"2026-06-23T16:39:13Z","links":{"resolver":"https://pith.science/pith/X567QHYYRGGRCKUW45C4CGPFZ6","bundle":"https://pith.science/pith/X567QHYYRGGRCKUW45C4CGPFZ6/bundle.json","state":"https://pith.science/pith/X567QHYYRGGRCKUW45C4CGPFZ6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X567QHYYRGGRCKUW45C4CGPFZ6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:X567QHYYRGGRCKUW45C4CGPFZ6","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":"2b6765c92f60b76841c80190d6d771cc8ddfa8d334ce78a2d42bbd0b3ffdb05f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-24T08:22:51Z","title_canon_sha256":"1102f5eaa57242b43c8eb7a387d2d5e9da3b469672acae9a42798d510df1b3f2"},"schema_version":"1.0","source":{"id":"1309.6077","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.6077","created_at":"2026-05-18T03:12:24Z"},{"alias_kind":"arxiv_version","alias_value":"1309.6077v1","created_at":"2026-05-18T03:12:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.6077","created_at":"2026-05-18T03:12:24Z"},{"alias_kind":"pith_short_12","alias_value":"X567QHYYRGGR","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"X567QHYYRGGRCKUW","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"X567QHYY","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:9f85a06170df4259b973a13fbe02f766cde262cd1e80d93d30bee95e98c8abd6","target":"graph","created_at":"2026-05-18T03:12:24Z","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 study a model Schr\\\"odinger operator with constan tmagnetic field on an infinite wedge with natural boundary conditions. This problem is related to the semiclassical magnetic Laplacian on 3d domains with edges. We show that the ground energy is lower than the one coming from the regular part of the wedge and is continuous with respect to the geometry. We provide an upper bound for the ground energy on wedges of small opening. Numerical computations enlighten the theoretical approach.","authors_text":"Nicolas Popoff","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-24T08:22:51Z","title":"The model magnetic Laplacian on wedges"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.6077","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:f7b554ab783241a83a1d5fac33f2a9ef614968ea88e978dde16ac705198edf4b","target":"record","created_at":"2026-05-18T03:12:24Z","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":"2b6765c92f60b76841c80190d6d771cc8ddfa8d334ce78a2d42bbd0b3ffdb05f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-24T08:22:51Z","title_canon_sha256":"1102f5eaa57242b43c8eb7a387d2d5e9da3b469672acae9a42798d510df1b3f2"},"schema_version":"1.0","source":{"id":"1309.6077","kind":"arxiv","version":1}},"canonical_sha256":"bf7df81f18898d112a96e745c119e5cf87004ac4c3bd821acd5b9ff928b02eee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf7df81f18898d112a96e745c119e5cf87004ac4c3bd821acd5b9ff928b02eee","first_computed_at":"2026-05-18T03:12:24.064717Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:12:24.064717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LsZWUZZnhXnaAnuPf2y5tffo/6js/4bIkIm+XjNjYA4UazcQHfUSuaCaS7f99h520CsVwP2xy0av2M1FyeHWBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:12:24.065418Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.6077","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7b554ab783241a83a1d5fac33f2a9ef614968ea88e978dde16ac705198edf4b","sha256:9f85a06170df4259b973a13fbe02f766cde262cd1e80d93d30bee95e98c8abd6"],"state_sha256":"5f4d2e7169c96f8150af90d8ac35a34cfa9735e9bb8738e5f17a38623cf68008"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gMI+PjuFcGigkAythTPyWygcVd2hZKbZGHrMzskHJzWMxPftOpHRvBPzeMbsstkcKZJI/fJ1PMe5TXEV8dtwDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T16:39:13.400828Z","bundle_sha256":"28d5c7edf4304b999bde280528b7b71ba5c8410270ee03b438d7ec1b869ee63a"}}