{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:SDTGQHRCJUXPHJSVISJS7GPW65","short_pith_number":"pith:SDTGQHRC","canonical_record":{"source":{"id":"1706.05247","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-06-16T12:36:12Z","cross_cats_sorted":[],"title_canon_sha256":"1ae7d53c04b8141ac917d73a6416cfc8a6e0ba02b8c0f28af495c3f29f8cdffb","abstract_canon_sha256":"5f00079c9c26d70172eebfa322fa04a5dc52aa57bb77944a7c018424a2021e0e"},"schema_version":"1.0"},"canonical_sha256":"90e6681e224d2ef3a65544932f99f6f7421ba87012ca7de801721ce8fc5b31e6","source":{"kind":"arxiv","id":"1706.05247","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.05247","created_at":"2026-05-18T00:14:11Z"},{"alias_kind":"arxiv_version","alias_value":"1706.05247v1","created_at":"2026-05-18T00:14:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.05247","created_at":"2026-05-18T00:14:11Z"},{"alias_kind":"pith_short_12","alias_value":"SDTGQHRCJUXP","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SDTGQHRCJUXPHJSV","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SDTGQHRC","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:SDTGQHRCJUXPHJSVISJS7GPW65","target":"record","payload":{"canonical_record":{"source":{"id":"1706.05247","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-06-16T12:36:12Z","cross_cats_sorted":[],"title_canon_sha256":"1ae7d53c04b8141ac917d73a6416cfc8a6e0ba02b8c0f28af495c3f29f8cdffb","abstract_canon_sha256":"5f00079c9c26d70172eebfa322fa04a5dc52aa57bb77944a7c018424a2021e0e"},"schema_version":"1.0"},"canonical_sha256":"90e6681e224d2ef3a65544932f99f6f7421ba87012ca7de801721ce8fc5b31e6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:11.440678Z","signature_b64":"PUkJ7bDOzglpBT85nhxJ0wYCGJNEzMy8BtDid1U7USjFfkf+iSkZkuCCO04BLKon+xMRss0/JqUW3KsxGKzPDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90e6681e224d2ef3a65544932f99f6f7421ba87012ca7de801721ce8fc5b31e6","last_reissued_at":"2026-05-18T00:14:11.440242Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:11.440242Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.05247","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":"2026-05-18T00:14:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3LNP3ETJx5fnrEZKN69Y+WGTudetVa4rYRqTGc291m63PRh4VwQEOZ7QzOFdvIrlKmdBZF1xyr7JbpIw65j7BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T04:42:38.676206Z"},"content_sha256":"b9c453ee6875c50de83cea88996f1d8c7e43a17d6a01d554d6be44a86375a058","schema_version":"1.0","event_id":"sha256:b9c453ee6875c50de83cea88996f1d8c7e43a17d6a01d554d6be44a86375a058"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:SDTGQHRCJUXPHJSVISJS7GPW65","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Estimates for eigenvalues of Aharonov-Bohm operators with varying poles and non-half-interger circulation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Benedetta Noris, Laura Abatangelo, Manon Nys, Veronica Felli","submitted_at":"2017-06-16T12:36:12Z","abstract_excerpt":"We study the behavior of eigenvalues of a magnetic Aharonov-Bohm operator with non-half-integer circulation and Dirichlet boundary conditions in a planar domain. As the pole is moving in the interior of the domain, we estimate the rate of the eigenvalue variation in terms of the vanishing order of the limit eigenfunction at the limit pole. We also provide an accurate blow-up analysis for scaled eigenfunctions and prove a sharp estimate for their rate of convergence."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.05247","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":"2026-05-18T00:14:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Km7mJeDv+xWHe2dkuCNSig1zExpff0aHKpHA/xwzXHGV+W544cF/oxfqogDrxutn8iVAvyQ+46kGTYb0hfFUAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T04:42:38.676876Z"},"content_sha256":"06bd3beeba85f33c898697508a8e34f339c418497649d15cc07b45a352bd5ac5","schema_version":"1.0","event_id":"sha256:06bd3beeba85f33c898697508a8e34f339c418497649d15cc07b45a352bd5ac5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SDTGQHRCJUXPHJSVISJS7GPW65/bundle.json","state_url":"https://pith.science/pith/SDTGQHRCJUXPHJSVISJS7GPW65/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SDTGQHRCJUXPHJSVISJS7GPW65/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":"2026-05-27T04:42:38Z","links":{"resolver":"https://pith.science/pith/SDTGQHRCJUXPHJSVISJS7GPW65","bundle":"https://pith.science/pith/SDTGQHRCJUXPHJSVISJS7GPW65/bundle.json","state":"https://pith.science/pith/SDTGQHRCJUXPHJSVISJS7GPW65/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SDTGQHRCJUXPHJSVISJS7GPW65/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SDTGQHRCJUXPHJSVISJS7GPW65","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":"5f00079c9c26d70172eebfa322fa04a5dc52aa57bb77944a7c018424a2021e0e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-06-16T12:36:12Z","title_canon_sha256":"1ae7d53c04b8141ac917d73a6416cfc8a6e0ba02b8c0f28af495c3f29f8cdffb"},"schema_version":"1.0","source":{"id":"1706.05247","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.05247","created_at":"2026-05-18T00:14:11Z"},{"alias_kind":"arxiv_version","alias_value":"1706.05247v1","created_at":"2026-05-18T00:14:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.05247","created_at":"2026-05-18T00:14:11Z"},{"alias_kind":"pith_short_12","alias_value":"SDTGQHRCJUXP","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SDTGQHRCJUXPHJSV","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SDTGQHRC","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:06bd3beeba85f33c898697508a8e34f339c418497649d15cc07b45a352bd5ac5","target":"graph","created_at":"2026-05-18T00:14:11Z","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 study the behavior of eigenvalues of a magnetic Aharonov-Bohm operator with non-half-integer circulation and Dirichlet boundary conditions in a planar domain. As the pole is moving in the interior of the domain, we estimate the rate of the eigenvalue variation in terms of the vanishing order of the limit eigenfunction at the limit pole. We also provide an accurate blow-up analysis for scaled eigenfunctions and prove a sharp estimate for their rate of convergence.","authors_text":"Benedetta Noris, Laura Abatangelo, Manon Nys, Veronica Felli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-06-16T12:36:12Z","title":"Estimates for eigenvalues of Aharonov-Bohm operators with varying poles and non-half-interger circulation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.05247","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:b9c453ee6875c50de83cea88996f1d8c7e43a17d6a01d554d6be44a86375a058","target":"record","created_at":"2026-05-18T00:14:11Z","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":"5f00079c9c26d70172eebfa322fa04a5dc52aa57bb77944a7c018424a2021e0e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-06-16T12:36:12Z","title_canon_sha256":"1ae7d53c04b8141ac917d73a6416cfc8a6e0ba02b8c0f28af495c3f29f8cdffb"},"schema_version":"1.0","source":{"id":"1706.05247","kind":"arxiv","version":1}},"canonical_sha256":"90e6681e224d2ef3a65544932f99f6f7421ba87012ca7de801721ce8fc5b31e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90e6681e224d2ef3a65544932f99f6f7421ba87012ca7de801721ce8fc5b31e6","first_computed_at":"2026-05-18T00:14:11.440242Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:11.440242Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PUkJ7bDOzglpBT85nhxJ0wYCGJNEzMy8BtDid1U7USjFfkf+iSkZkuCCO04BLKon+xMRss0/JqUW3KsxGKzPDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:11.440678Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.05247","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b9c453ee6875c50de83cea88996f1d8c7e43a17d6a01d554d6be44a86375a058","sha256:06bd3beeba85f33c898697508a8e34f339c418497649d15cc07b45a352bd5ac5"],"state_sha256":"762493e7a903c85850fa8507ed8e7a00f7545700e72b9ec2232d4888c89877f7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xWqGO48XCchnvez2rwCdpc/VdvesuUKZeR0qJF4D7hbPHcVhwrBji69CCQpbcY/MZVukgnDy6Sl5+Gqf1vsJAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T04:42:38.680717Z","bundle_sha256":"b7436a9d0f87410069ad834a1a11d1e9be4b7fe026e9808a3d7004868d7ea068"}}