{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:FH66BU4IKTPFDNM76FPVRQE62X","short_pith_number":"pith:FH66BU4I","schema_version":"1.0","canonical_sha256":"29fde0d38854de51b59ff15f58c09ed5da08883544c831069491a89683aece00","source":{"kind":"arxiv","id":"1103.4075","version":2},"attestation_state":"computed","paper":{"title":"Superconformal indices of three-dimensional theories related by mirror symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"C. Krattenthaler, G. S. Vartanov, V. P. Spiridonov","submitted_at":"2011-03-21T16:56:45Z","abstract_excerpt":"Recently, Kim and Imamura and Yokoyama derived an exact formula for superconformal indices in three-dimensional field theories. Using their results, we prove analytically the equality of superconformal indices in some U(1)-gauge group theories related by the mirror symmetry. The proofs are based on the well known identities of the theory of $q$-special functions. We also suggest the general index formula taking into account the $U(1)_J$ global symmetry present for abelian theories."},"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":"1103.4075","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-03-21T16:56:45Z","cross_cats_sorted":[],"title_canon_sha256":"7e34c100da1a78bfd2cf3628efb5818f69ffea0a912a403cbcb94746c2e54d3d","abstract_canon_sha256":"f29ef546bc3d7a45f05458080ee34f9a486d2e782255e09fc8c0c525cff01059"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:22.950599Z","signature_b64":"dpWdzi1eLN6OddUKO3JZ70IE6Bt5zEvRhtRyEk5vy8/YXNoD052h+vgpfptFeK8Dl0zC1wsWR3FvKB6jqPZNCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29fde0d38854de51b59ff15f58c09ed5da08883544c831069491a89683aece00","last_reissued_at":"2026-05-18T04:19:22.950190Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:22.950190Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Superconformal indices of three-dimensional theories related by mirror symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"C. Krattenthaler, G. S. Vartanov, V. P. Spiridonov","submitted_at":"2011-03-21T16:56:45Z","abstract_excerpt":"Recently, Kim and Imamura and Yokoyama derived an exact formula for superconformal indices in three-dimensional field theories. Using their results, we prove analytically the equality of superconformal indices in some U(1)-gauge group theories related by the mirror symmetry. The proofs are based on the well known identities of the theory of $q$-special functions. We also suggest the general index formula taking into account the $U(1)_J$ global symmetry present for abelian theories."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4075","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":"1103.4075","created_at":"2026-05-18T04:19:22.950251+00:00"},{"alias_kind":"arxiv_version","alias_value":"1103.4075v2","created_at":"2026-05-18T04:19:22.950251+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.4075","created_at":"2026-05-18T04:19:22.950251+00:00"},{"alias_kind":"pith_short_12","alias_value":"FH66BU4IKTPF","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_16","alias_value":"FH66BU4IKTPFDNM7","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_8","alias_value":"FH66BU4I","created_at":"2026-05-18T12:26:28.662955+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/FH66BU4IKTPFDNM76FPVRQE62X","json":"https://pith.science/pith/FH66BU4IKTPFDNM76FPVRQE62X.json","graph_json":"https://pith.science/api/pith-number/FH66BU4IKTPFDNM76FPVRQE62X/graph.json","events_json":"https://pith.science/api/pith-number/FH66BU4IKTPFDNM76FPVRQE62X/events.json","paper":"https://pith.science/paper/FH66BU4I"},"agent_actions":{"view_html":"https://pith.science/pith/FH66BU4IKTPFDNM76FPVRQE62X","download_json":"https://pith.science/pith/FH66BU4IKTPFDNM76FPVRQE62X.json","view_paper":"https://pith.science/paper/FH66BU4I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1103.4075&json=true","fetch_graph":"https://pith.science/api/pith-number/FH66BU4IKTPFDNM76FPVRQE62X/graph.json","fetch_events":"https://pith.science/api/pith-number/FH66BU4IKTPFDNM76FPVRQE62X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FH66BU4IKTPFDNM76FPVRQE62X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FH66BU4IKTPFDNM76FPVRQE62X/action/storage_attestation","attest_author":"https://pith.science/pith/FH66BU4IKTPFDNM76FPVRQE62X/action/author_attestation","sign_citation":"https://pith.science/pith/FH66BU4IKTPFDNM76FPVRQE62X/action/citation_signature","submit_replication":"https://pith.science/pith/FH66BU4IKTPFDNM76FPVRQE62X/action/replication_record"}},"created_at":"2026-05-18T04:19:22.950251+00:00","updated_at":"2026-05-18T04:19:22.950251+00:00"}