{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:RS3ZK2MHF2EX35BCDGINAMRGN3","short_pith_number":"pith:RS3ZK2MH","canonical_record":{"source":{"id":"1104.1787","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-10T18:23:04Z","cross_cats_sorted":[],"title_canon_sha256":"f11ea38dfa3e7fae667559eeb53461cac6c10924a099723addba21f1ae45d3fc","abstract_canon_sha256":"c0d8852b554d22ec2c8f2f1b06c9496c5228ad7c1a41cd5e6926b3a02eb20b61"},"schema_version":"1.0"},"canonical_sha256":"8cb79569872e897df4221990d032266ed9581b90a9a00d7b56cfd2876c045d2b","source":{"kind":"arxiv","id":"1104.1787","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.1787","created_at":"2026-05-18T04:12:11Z"},{"alias_kind":"arxiv_version","alias_value":"1104.1787v2","created_at":"2026-05-18T04:12:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1787","created_at":"2026-05-18T04:12:11Z"},{"alias_kind":"pith_short_12","alias_value":"RS3ZK2MHF2EX","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"RS3ZK2MHF2EX35BC","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"RS3ZK2MH","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:RS3ZK2MHF2EX35BCDGINAMRGN3","target":"record","payload":{"canonical_record":{"source":{"id":"1104.1787","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-10T18:23:04Z","cross_cats_sorted":[],"title_canon_sha256":"f11ea38dfa3e7fae667559eeb53461cac6c10924a099723addba21f1ae45d3fc","abstract_canon_sha256":"c0d8852b554d22ec2c8f2f1b06c9496c5228ad7c1a41cd5e6926b3a02eb20b61"},"schema_version":"1.0"},"canonical_sha256":"8cb79569872e897df4221990d032266ed9581b90a9a00d7b56cfd2876c045d2b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:11.821677Z","signature_b64":"//UIBQabYg4hkmysisiXAdx09yoXMljc+FO1mzsWxwExxf3KeuWXXN103ybGHDRzEJJhrp3jQPUNz+KX3oZUBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8cb79569872e897df4221990d032266ed9581b90a9a00d7b56cfd2876c045d2b","last_reissued_at":"2026-05-18T04:12:11.821134Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:11.821134Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.1787","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":"2026-05-18T04:12:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IxPz23/V2swvw+t4WTRSu03ujdrTQar2YSByrzWTxz/bX2ejhxwx3dTP25O7rzC7nQ3JDJ1N1/2ozAW7/WJNBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T05:58:51.919972Z"},"content_sha256":"65c01f466ba353214639a1687c1fa54e70286c6648d7a1fb2a6317cb864be47d","schema_version":"1.0","event_id":"sha256:65c01f466ba353214639a1687c1fa54e70286c6648d7a1fb2a6317cb864be47d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:RS3ZK2MHF2EX35BCDGINAMRGN3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From 4d superconformal indices to 3d partition functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"F. A. H. Dolan, G. S. Vartanov, V. P. Spiridonov","submitted_at":"2011-04-10T18:23:04Z","abstract_excerpt":"An exact formula for partition functions in 3d field theories was recently suggested by Jafferis, and Hama, Hosomichi, and Lee. These functions are expressed in terms of specific $q$-hypergeometric integrals whose key building block is the double sine function (or the hyperbolic gamma function). Elliptic hypergeometric integrals, discovered by the second author, define 4d superconformal indices. Using their reduction to the hyperbolic level, we describe a general scheme of reducing 4d superconformal indices to 3d partition functions which imply an efficient way of getting 3d $\\mathcal{N}=2$ su"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1787","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":"2026-05-18T04:12:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rTJBR/d+ir1vYDGKTiIGFdD5XcrhKOON0kgKByjQkUvldDIIbyn3r7z/1xf1eoxUm/9cLetiPM7HFB2xjdTWAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T05:58:51.920629Z"},"content_sha256":"f8032d2067a506bf41499f740764f5911a3605e8a6aa33b7fa1209d9da7b7046","schema_version":"1.0","event_id":"sha256:f8032d2067a506bf41499f740764f5911a3605e8a6aa33b7fa1209d9da7b7046"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RS3ZK2MHF2EX35BCDGINAMRGN3/bundle.json","state_url":"https://pith.science/pith/RS3ZK2MHF2EX35BCDGINAMRGN3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RS3ZK2MHF2EX35BCDGINAMRGN3/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":"2026-06-07T05:58:51Z","links":{"resolver":"https://pith.science/pith/RS3ZK2MHF2EX35BCDGINAMRGN3","bundle":"https://pith.science/pith/RS3ZK2MHF2EX35BCDGINAMRGN3/bundle.json","state":"https://pith.science/pith/RS3ZK2MHF2EX35BCDGINAMRGN3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RS3ZK2MHF2EX35BCDGINAMRGN3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:RS3ZK2MHF2EX35BCDGINAMRGN3","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":"c0d8852b554d22ec2c8f2f1b06c9496c5228ad7c1a41cd5e6926b3a02eb20b61","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-10T18:23:04Z","title_canon_sha256":"f11ea38dfa3e7fae667559eeb53461cac6c10924a099723addba21f1ae45d3fc"},"schema_version":"1.0","source":{"id":"1104.1787","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.1787","created_at":"2026-05-18T04:12:11Z"},{"alias_kind":"arxiv_version","alias_value":"1104.1787v2","created_at":"2026-05-18T04:12:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1787","created_at":"2026-05-18T04:12:11Z"},{"alias_kind":"pith_short_12","alias_value":"RS3ZK2MHF2EX","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"RS3ZK2MHF2EX35BC","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"RS3ZK2MH","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:f8032d2067a506bf41499f740764f5911a3605e8a6aa33b7fa1209d9da7b7046","target":"graph","created_at":"2026-05-18T04:12:11Z","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":"An exact formula for partition functions in 3d field theories was recently suggested by Jafferis, and Hama, Hosomichi, and Lee. These functions are expressed in terms of specific $q$-hypergeometric integrals whose key building block is the double sine function (or the hyperbolic gamma function). Elliptic hypergeometric integrals, discovered by the second author, define 4d superconformal indices. Using their reduction to the hyperbolic level, we describe a general scheme of reducing 4d superconformal indices to 3d partition functions which imply an efficient way of getting 3d $\\mathcal{N}=2$ su","authors_text":"F. A. H. Dolan, G. S. Vartanov, V. P. Spiridonov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-10T18:23:04Z","title":"From 4d superconformal indices to 3d partition functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1787","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":"sha256:65c01f466ba353214639a1687c1fa54e70286c6648d7a1fb2a6317cb864be47d","target":"record","created_at":"2026-05-18T04:12:11Z","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":"c0d8852b554d22ec2c8f2f1b06c9496c5228ad7c1a41cd5e6926b3a02eb20b61","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-10T18:23:04Z","title_canon_sha256":"f11ea38dfa3e7fae667559eeb53461cac6c10924a099723addba21f1ae45d3fc"},"schema_version":"1.0","source":{"id":"1104.1787","kind":"arxiv","version":2}},"canonical_sha256":"8cb79569872e897df4221990d032266ed9581b90a9a00d7b56cfd2876c045d2b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8cb79569872e897df4221990d032266ed9581b90a9a00d7b56cfd2876c045d2b","first_computed_at":"2026-05-18T04:12:11.821134Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:11.821134Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"//UIBQabYg4hkmysisiXAdx09yoXMljc+FO1mzsWxwExxf3KeuWXXN103ybGHDRzEJJhrp3jQPUNz+KX3oZUBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:11.821677Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.1787","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65c01f466ba353214639a1687c1fa54e70286c6648d7a1fb2a6317cb864be47d","sha256:f8032d2067a506bf41499f740764f5911a3605e8a6aa33b7fa1209d9da7b7046"],"state_sha256":"a57a7661ab0ed385a16a71ae06f25bb52f0b4f2d81169212615c314e541973f7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J/Rf6St+FDeJoT6/QqXsmRKs8IeR3V6X/drquth6F1vXC0VwnSLmndkopCrYzmisIBAwZxJC4YQqRYUfppUECA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T05:58:51.923878Z","bundle_sha256":"d0560b8aa9201b40d109639114a842039dc7c188c1535c4bd899f9976435ddb4"}}