{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:DBHFWGAVPZ277Y634LSDV6PRSN","short_pith_number":"pith:DBHFWGAV","schema_version":"1.0","canonical_sha256":"184e5b18157e75ffe3dbe2e43af9f19346a0e397f705b56eb9586e455ee43f94","source":{"kind":"arxiv","id":"2105.06542","version":2},"attestation_state":"computed","paper":{"title":"The wave trace and resonances of the magnetic Hamiltonian with singular vector potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.SP"],"primary_cat":"math.AP","authors_text":"Mengxuan Yang","submitted_at":"2021-05-13T20:25:54Z","abstract_excerpt":"We study leading order singularities of the wave trace of the Aharonov--Bohm Hamiltonian on $\\mathbf{R}^2$ with multiple solenoids under a generic assumption that no three solenoids are collinear. Then we apply our formula to get a lower bound of scattering resonances in a logarithmic neighborhood near the real axis."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2105.06542","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2021-05-13T20:25:54Z","cross_cats_sorted":["math-ph","math.MP","math.SP"],"title_canon_sha256":"0a2e2b61a9ce2dfdf6ec23c79984d5b6bc63217eb4bd13526c29d2bf69680dd8","abstract_canon_sha256":"0a80d39a5295b0755b5867f36ebbc33cc014a0861d32c432a49cdf1db6d687f0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:52:57.736696Z","signature_b64":"gO+d9pcarKw+wvXCBenihJrhh40uDxN/p/ojE6rV4fFkivTJrSN+UODNXd3SCMwISIdGJGdOSc1vOl+nFAZnAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"184e5b18157e75ffe3dbe2e43af9f19346a0e397f705b56eb9586e455ee43f94","last_reissued_at":"2026-07-05T03:52:57.736199Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:52:57.736199Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The wave trace and resonances of the magnetic Hamiltonian with singular vector potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.SP"],"primary_cat":"math.AP","authors_text":"Mengxuan Yang","submitted_at":"2021-05-13T20:25:54Z","abstract_excerpt":"We study leading order singularities of the wave trace of the Aharonov--Bohm Hamiltonian on $\\mathbf{R}^2$ with multiple solenoids under a generic assumption that no three solenoids are collinear. Then we apply our formula to get a lower bound of scattering resonances in a logarithmic neighborhood near the real axis."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.06542","kind":"arxiv","version":2},"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/2105.06542/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2105.06542","created_at":"2026-07-05T03:52:57.736257+00:00"},{"alias_kind":"arxiv_version","alias_value":"2105.06542v2","created_at":"2026-07-05T03:52:57.736257+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.06542","created_at":"2026-07-05T03:52:57.736257+00:00"},{"alias_kind":"pith_short_12","alias_value":"DBHFWGAVPZ27","created_at":"2026-07-05T03:52:57.736257+00:00"},{"alias_kind":"pith_short_16","alias_value":"DBHFWGAVPZ277Y63","created_at":"2026-07-05T03:52:57.736257+00:00"},{"alias_kind":"pith_short_8","alias_value":"DBHFWGAV","created_at":"2026-07-05T03:52:57.736257+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DBHFWGAVPZ277Y634LSDV6PRSN","json":"https://pith.science/pith/DBHFWGAVPZ277Y634LSDV6PRSN.json","graph_json":"https://pith.science/api/pith-number/DBHFWGAVPZ277Y634LSDV6PRSN/graph.json","events_json":"https://pith.science/api/pith-number/DBHFWGAVPZ277Y634LSDV6PRSN/events.json","paper":"https://pith.science/paper/DBHFWGAV"},"agent_actions":{"view_html":"https://pith.science/pith/DBHFWGAVPZ277Y634LSDV6PRSN","download_json":"https://pith.science/pith/DBHFWGAVPZ277Y634LSDV6PRSN.json","view_paper":"https://pith.science/paper/DBHFWGAV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2105.06542&json=true","fetch_graph":"https://pith.science/api/pith-number/DBHFWGAVPZ277Y634LSDV6PRSN/graph.json","fetch_events":"https://pith.science/api/pith-number/DBHFWGAVPZ277Y634LSDV6PRSN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DBHFWGAVPZ277Y634LSDV6PRSN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DBHFWGAVPZ277Y634LSDV6PRSN/action/storage_attestation","attest_author":"https://pith.science/pith/DBHFWGAVPZ277Y634LSDV6PRSN/action/author_attestation","sign_citation":"https://pith.science/pith/DBHFWGAVPZ277Y634LSDV6PRSN/action/citation_signature","submit_replication":"https://pith.science/pith/DBHFWGAVPZ277Y634LSDV6PRSN/action/replication_record"}},"created_at":"2026-07-05T03:52:57.736257+00:00","updated_at":"2026-07-05T03:52:57.736257+00:00"}