{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:ZKZPVNNTPVBXMVZUMNZ3IDIY5O","short_pith_number":"pith:ZKZPVNNT","schema_version":"1.0","canonical_sha256":"cab2fab5b37d437657346373b40d18eb8831a815cf1096c6ea62aadf3d8ea83e","source":{"kind":"arxiv","id":"1406.7853","version":2},"attestation_state":"computed","paper":{"title":"An Index Formula for Supersymmetric Quantum Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"hep-th","authors_text":"Clay Cordova, Shu-Heng Shao","submitted_at":"2014-06-30T18:56:43Z","abstract_excerpt":"We derive a localization formula for the refined index of gauged quantum mechanics with four supercharges. Our answer takes the form of a residue integral on the complexified Cartan subalgebra of the gauge group. The formula captures the dependence of the index on Fayet-Iliopoulos parameters and the presence of a generic superpotential. The residue formula provides an efficient method for computing cohomology of quiver moduli spaces. Our result has broad applications to the counting of BPS states in four-dimensional N=2 systems. In that context, the wall-crossing phenomenon appears as disconti"},"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":"1406.7853","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-30T18:56:43Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"99a9dc328f2bccdbb2a7ea32a9b121e8259ba50cec60c1fa0fa1b93aff703a32","abstract_canon_sha256":"c965d55b9590d07136185320977dd9499f9088dba4074864be594ab9528bab9c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:21.486458Z","signature_b64":"KUqRTiDtLfaXZcNbaa66G/jmIT6Vvrtu9MksFMQ9SloXvtNxl3PrBfRCeeXY0qCG56mQGP2MVfO3sicPy17HCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cab2fab5b37d437657346373b40d18eb8831a815cf1096c6ea62aadf3d8ea83e","last_reissued_at":"2026-05-18T01:37:21.485700Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:21.485700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An Index Formula for Supersymmetric Quantum Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"hep-th","authors_text":"Clay Cordova, Shu-Heng Shao","submitted_at":"2014-06-30T18:56:43Z","abstract_excerpt":"We derive a localization formula for the refined index of gauged quantum mechanics with four supercharges. Our answer takes the form of a residue integral on the complexified Cartan subalgebra of the gauge group. The formula captures the dependence of the index on Fayet-Iliopoulos parameters and the presence of a generic superpotential. The residue formula provides an efficient method for computing cohomology of quiver moduli spaces. Our result has broad applications to the counting of BPS states in four-dimensional N=2 systems. In that context, the wall-crossing phenomenon appears as disconti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.7853","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":""},"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":"1406.7853","created_at":"2026-05-18T01:37:21.485817+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.7853v2","created_at":"2026-05-18T01:37:21.485817+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.7853","created_at":"2026-05-18T01:37:21.485817+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZKZPVNNTPVBX","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZKZPVNNTPVBXMVZU","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZKZPVNNT","created_at":"2026-05-18T12:28:59.999130+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.25976","citing_title":"Hyperfunctions in $A$-model Localization","ref_index":44,"is_internal_anchor":true},{"citing_arxiv_id":"2604.17975","citing_title":"Localisation of $\\mathcal{N} = (2,2)$ theories on spindles of both twists","ref_index":80,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZKZPVNNTPVBXMVZUMNZ3IDIY5O","json":"https://pith.science/pith/ZKZPVNNTPVBXMVZUMNZ3IDIY5O.json","graph_json":"https://pith.science/api/pith-number/ZKZPVNNTPVBXMVZUMNZ3IDIY5O/graph.json","events_json":"https://pith.science/api/pith-number/ZKZPVNNTPVBXMVZUMNZ3IDIY5O/events.json","paper":"https://pith.science/paper/ZKZPVNNT"},"agent_actions":{"view_html":"https://pith.science/pith/ZKZPVNNTPVBXMVZUMNZ3IDIY5O","download_json":"https://pith.science/pith/ZKZPVNNTPVBXMVZUMNZ3IDIY5O.json","view_paper":"https://pith.science/paper/ZKZPVNNT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.7853&json=true","fetch_graph":"https://pith.science/api/pith-number/ZKZPVNNTPVBXMVZUMNZ3IDIY5O/graph.json","fetch_events":"https://pith.science/api/pith-number/ZKZPVNNTPVBXMVZUMNZ3IDIY5O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZKZPVNNTPVBXMVZUMNZ3IDIY5O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZKZPVNNTPVBXMVZUMNZ3IDIY5O/action/storage_attestation","attest_author":"https://pith.science/pith/ZKZPVNNTPVBXMVZUMNZ3IDIY5O/action/author_attestation","sign_citation":"https://pith.science/pith/ZKZPVNNTPVBXMVZUMNZ3IDIY5O/action/citation_signature","submit_replication":"https://pith.science/pith/ZKZPVNNTPVBXMVZUMNZ3IDIY5O/action/replication_record"}},"created_at":"2026-05-18T01:37:21.485817+00:00","updated_at":"2026-05-18T01:37:21.485817+00:00"}