{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:TQKIBW63B4YBFAVOOTIIQKEA6O","short_pith_number":"pith:TQKIBW63","canonical_record":{"source":{"id":"1401.0850","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-01-04T23:14:07Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"20d6fd85b8e6e6ea74f8a4f4354471703f28b7facfa431be46d974af0975958d","abstract_canon_sha256":"53b5c2b2761039a8add5e2ae3c9b14ae45ddc13a6213543e152315b17ba79b42"},"schema_version":"1.0"},"canonical_sha256":"9c1480dbdb0f301282ae74d0882880f3b1ce926c495dc46fdf01ea363736f4c3","source":{"kind":"arxiv","id":"1401.0850","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.0850","created_at":"2026-05-18T03:03:11Z"},{"alias_kind":"arxiv_version","alias_value":"1401.0850v1","created_at":"2026-05-18T03:03:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.0850","created_at":"2026-05-18T03:03:11Z"},{"alias_kind":"pith_short_12","alias_value":"TQKIBW63B4YB","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TQKIBW63B4YBFAVO","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TQKIBW63","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:TQKIBW63B4YBFAVOOTIIQKEA6O","target":"record","payload":{"canonical_record":{"source":{"id":"1401.0850","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-01-04T23:14:07Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"20d6fd85b8e6e6ea74f8a4f4354471703f28b7facfa431be46d974af0975958d","abstract_canon_sha256":"53b5c2b2761039a8add5e2ae3c9b14ae45ddc13a6213543e152315b17ba79b42"},"schema_version":"1.0"},"canonical_sha256":"9c1480dbdb0f301282ae74d0882880f3b1ce926c495dc46fdf01ea363736f4c3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:03:11.761913Z","signature_b64":"9JMrKh24JL4QcuJaBPQPKQei6q39dsgOyt1g80KXAsA1uP6ZrRXfWYLI/aHvb/dHEFJgrEwCS7a9Ea3NqpvTDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c1480dbdb0f301282ae74d0882880f3b1ce926c495dc46fdf01ea363736f4c3","last_reissued_at":"2026-05-18T03:03:11.761087Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:03:11.761087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.0850","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":"2026-05-18T03:03:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GbP7jqe+ow6lZo03uhO/+FjaOU1DH19STW3qDjkxLRYGImwMKRZSLidAFhEH1yJgrusD4TtulvFeEjvtBLgXBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T08:28:25.391562Z"},"content_sha256":"516830a2d89a266cf1d19b07a841706f4e2df95bc5aaa425af35595a60ed3ac5","schema_version":"1.0","event_id":"sha256:516830a2d89a266cf1d19b07a841706f4e2df95bc5aaa425af35595a60ed3ac5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:TQKIBW63B4YBFAVOOTIIQKEA6O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Magnetic spectral bounds on starlike plane domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"B. A. Siudeja, R. S. Laugesen","submitted_at":"2014-01-04T23:14:07Z","abstract_excerpt":"We develop sharp upper bounds for energy levels of the magnetic Laplacian on starlike plane domains, under either Dirichlet or Neumann boundary conditions and assuming a constant magnetic field in the transverse direction. Our main result says that $\\sum_{j=1}^n \\Phi \\big( \\lambda_j A/G \\big)$ is maximal for a disk whenever $\\Phi$ is concave increasing, $n \\geq 1$, the domain has area $A$, and $\\lambda_j$ is the $j$-th Dirichlet eigenvalue of the magnetic Laplacian $\\big( i\\nabla+ \\frac{\\beta}{2A}(-x_2,x_1) \\big)^2$. Here the flux $\\beta$ is constant, and the scale invariant factor $G$ penaliz"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.0850","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":"2026-05-18T03:03:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iWDAsLBmWVqesdbhrk7+thksROtoBUAJMDi9Nv34PM4LE6lc5KdozSxpjJT20P7S6N8aTPeMgJy61FwdcneLDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T08:28:25.392250Z"},"content_sha256":"4f91bbb11583fbb3f1c8ae59cd115a985b62e3e46bf9383d9f46fd2a2c34e144","schema_version":"1.0","event_id":"sha256:4f91bbb11583fbb3f1c8ae59cd115a985b62e3e46bf9383d9f46fd2a2c34e144"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TQKIBW63B4YBFAVOOTIIQKEA6O/bundle.json","state_url":"https://pith.science/pith/TQKIBW63B4YBFAVOOTIIQKEA6O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TQKIBW63B4YBFAVOOTIIQKEA6O/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":"2026-06-11T08:28:25Z","links":{"resolver":"https://pith.science/pith/TQKIBW63B4YBFAVOOTIIQKEA6O","bundle":"https://pith.science/pith/TQKIBW63B4YBFAVOOTIIQKEA6O/bundle.json","state":"https://pith.science/pith/TQKIBW63B4YBFAVOOTIIQKEA6O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TQKIBW63B4YBFAVOOTIIQKEA6O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TQKIBW63B4YBFAVOOTIIQKEA6O","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":"53b5c2b2761039a8add5e2ae3c9b14ae45ddc13a6213543e152315b17ba79b42","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-01-04T23:14:07Z","title_canon_sha256":"20d6fd85b8e6e6ea74f8a4f4354471703f28b7facfa431be46d974af0975958d"},"schema_version":"1.0","source":{"id":"1401.0850","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.0850","created_at":"2026-05-18T03:03:11Z"},{"alias_kind":"arxiv_version","alias_value":"1401.0850v1","created_at":"2026-05-18T03:03:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.0850","created_at":"2026-05-18T03:03:11Z"},{"alias_kind":"pith_short_12","alias_value":"TQKIBW63B4YB","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TQKIBW63B4YBFAVO","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TQKIBW63","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:4f91bbb11583fbb3f1c8ae59cd115a985b62e3e46bf9383d9f46fd2a2c34e144","target":"graph","created_at":"2026-05-18T03:03:11Z","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 develop sharp upper bounds for energy levels of the magnetic Laplacian on starlike plane domains, under either Dirichlet or Neumann boundary conditions and assuming a constant magnetic field in the transverse direction. Our main result says that $\\sum_{j=1}^n \\Phi \\big( \\lambda_j A/G \\big)$ is maximal for a disk whenever $\\Phi$ is concave increasing, $n \\geq 1$, the domain has area $A$, and $\\lambda_j$ is the $j$-th Dirichlet eigenvalue of the magnetic Laplacian $\\big( i\\nabla+ \\frac{\\beta}{2A}(-x_2,x_1) \\big)^2$. Here the flux $\\beta$ is constant, and the scale invariant factor $G$ penaliz","authors_text":"B. A. Siudeja, R. S. Laugesen","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-01-04T23:14:07Z","title":"Magnetic spectral bounds on starlike plane domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.0850","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":"sha256:516830a2d89a266cf1d19b07a841706f4e2df95bc5aaa425af35595a60ed3ac5","target":"record","created_at":"2026-05-18T03:03:11Z","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":"53b5c2b2761039a8add5e2ae3c9b14ae45ddc13a6213543e152315b17ba79b42","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-01-04T23:14:07Z","title_canon_sha256":"20d6fd85b8e6e6ea74f8a4f4354471703f28b7facfa431be46d974af0975958d"},"schema_version":"1.0","source":{"id":"1401.0850","kind":"arxiv","version":1}},"canonical_sha256":"9c1480dbdb0f301282ae74d0882880f3b1ce926c495dc46fdf01ea363736f4c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c1480dbdb0f301282ae74d0882880f3b1ce926c495dc46fdf01ea363736f4c3","first_computed_at":"2026-05-18T03:03:11.761087Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:03:11.761087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9JMrKh24JL4QcuJaBPQPKQei6q39dsgOyt1g80KXAsA1uP6ZrRXfWYLI/aHvb/dHEFJgrEwCS7a9Ea3NqpvTDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:03:11.761913Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.0850","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:516830a2d89a266cf1d19b07a841706f4e2df95bc5aaa425af35595a60ed3ac5","sha256:4f91bbb11583fbb3f1c8ae59cd115a985b62e3e46bf9383d9f46fd2a2c34e144"],"state_sha256":"6926e587592af8b0b2e29e0bb0ddc33ed8c7b84ad9e48cd228e34cb2facaac45"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y9Bf0/igr4p6+NvtLzon7BiIvF2HyZ54h/7FbZjctqFoqbBBqm9pyzLGm03AtXDEm9zKzMXlJBspP51SxHPoDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T08:28:25.396454Z","bundle_sha256":"f2260af839cceda64a5887f1ea6ba261e8fe4b4517eaef86882a6a3eb5c1a874"}}