{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:ZKZPVNNTPVBXMVZUMNZ3IDIY5O","short_pith_number":"pith:ZKZPVNNT","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"},"canonical_sha256":"cab2fab5b37d437657346373b40d18eb8831a815cf1096c6ea62aadf3d8ea83e","source":{"kind":"arxiv","id":"1406.7853","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.7853","created_at":"2026-05-18T01:37:21Z"},{"alias_kind":"arxiv_version","alias_value":"1406.7853v2","created_at":"2026-05-18T01:37:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.7853","created_at":"2026-05-18T01:37:21Z"},{"alias_kind":"pith_short_12","alias_value":"ZKZPVNNTPVBX","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZKZPVNNTPVBXMVZU","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZKZPVNNT","created_at":"2026-05-18T12:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:ZKZPVNNTPVBXMVZUMNZ3IDIY5O","target":"record","payload":{"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"},"canonical_sha256":"cab2fab5b37d437657346373b40d18eb8831a815cf1096c6ea62aadf3d8ea83e","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"},"source_kind":"arxiv","source_id":"1406.7853","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:37:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GDmyrwlem4xPEudKgy+n/dAVVEAw0NmG3UnI5MQbvQGi5gIxnyuTgOZeesiaJRtIujAw/Oc0soMmdDq1+pNrBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:09:00.492428Z"},"content_sha256":"7ae45a5d4cc51aef5262eaaeda12d3ec34ce67fcfdec4541a1041df4fe4ea1fc","schema_version":"1.0","event_id":"sha256:7ae45a5d4cc51aef5262eaaeda12d3ec34ce67fcfdec4541a1041df4fe4ea1fc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:ZKZPVNNTPVBXMVZUMNZ3IDIY5O","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:37:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yHaV9HGa4fi0ma5qlrGTzQeDGQfRizBUmUon/J99wjEsTRiox+Hj/JqKPjIT0IOpFJO8nV4cHxgNww9bg4q0Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:09:00.492834Z"},"content_sha256":"9ce02fb2913a315366579b8c8ddd29997e81e00d2d05fde0331768774b774af6","schema_version":"1.0","event_id":"sha256:9ce02fb2913a315366579b8c8ddd29997e81e00d2d05fde0331768774b774af6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZKZPVNNTPVBXMVZUMNZ3IDIY5O/bundle.json","state_url":"https://pith.science/pith/ZKZPVNNTPVBXMVZUMNZ3IDIY5O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZKZPVNNTPVBXMVZUMNZ3IDIY5O/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":"2026-06-02T02:09:00Z","links":{"resolver":"https://pith.science/pith/ZKZPVNNTPVBXMVZUMNZ3IDIY5O","bundle":"https://pith.science/pith/ZKZPVNNTPVBXMVZUMNZ3IDIY5O/bundle.json","state":"https://pith.science/pith/ZKZPVNNTPVBXMVZUMNZ3IDIY5O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZKZPVNNTPVBXMVZUMNZ3IDIY5O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ZKZPVNNTPVBXMVZUMNZ3IDIY5O","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":"c965d55b9590d07136185320977dd9499f9088dba4074864be594ab9528bab9c","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-30T18:56:43Z","title_canon_sha256":"99a9dc328f2bccdbb2a7ea32a9b121e8259ba50cec60c1fa0fa1b93aff703a32"},"schema_version":"1.0","source":{"id":"1406.7853","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.7853","created_at":"2026-05-18T01:37:21Z"},{"alias_kind":"arxiv_version","alias_value":"1406.7853v2","created_at":"2026-05-18T01:37:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.7853","created_at":"2026-05-18T01:37:21Z"},{"alias_kind":"pith_short_12","alias_value":"ZKZPVNNTPVBX","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZKZPVNNTPVBXMVZU","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZKZPVNNT","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:9ce02fb2913a315366579b8c8ddd29997e81e00d2d05fde0331768774b774af6","target":"graph","created_at":"2026-05-18T01:37:21Z","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 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","authors_text":"Clay Cordova, Shu-Heng Shao","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-30T18:56:43Z","title":"An Index Formula for Supersymmetric Quantum Mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.7853","kind":"arxiv","version":2},"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":"sha256:7ae45a5d4cc51aef5262eaaeda12d3ec34ce67fcfdec4541a1041df4fe4ea1fc","target":"record","created_at":"2026-05-18T01:37:21Z","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":"c965d55b9590d07136185320977dd9499f9088dba4074864be594ab9528bab9c","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-30T18:56:43Z","title_canon_sha256":"99a9dc328f2bccdbb2a7ea32a9b121e8259ba50cec60c1fa0fa1b93aff703a32"},"schema_version":"1.0","source":{"id":"1406.7853","kind":"arxiv","version":2}},"canonical_sha256":"cab2fab5b37d437657346373b40d18eb8831a815cf1096c6ea62aadf3d8ea83e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cab2fab5b37d437657346373b40d18eb8831a815cf1096c6ea62aadf3d8ea83e","first_computed_at":"2026-05-18T01:37:21.485700Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:21.485700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KUqRTiDtLfaXZcNbaa66G/jmIT6Vvrtu9MksFMQ9SloXvtNxl3PrBfRCeeXY0qCG56mQGP2MVfO3sicPy17HCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:21.486458Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.7853","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7ae45a5d4cc51aef5262eaaeda12d3ec34ce67fcfdec4541a1041df4fe4ea1fc","sha256:9ce02fb2913a315366579b8c8ddd29997e81e00d2d05fde0331768774b774af6"],"state_sha256":"813ecabfc0670d77acc6ee3b9f4d8c2903bacd4a90358a77c9eb7395d974d3a7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UO4r76/NpELMZXKgFi3DjadSfpQGxJn9an344uhz9sxtEx7fU6E3xRYvMM9mSlXz77+UpwRQKzApW3cbFNZRAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T02:09:00.495011Z","bundle_sha256":"073d308a901d4ab2e92a3b2baaa3ed7c042ec234a50fc2c71fa3cdf841eb8493"}}