{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:TQELLYQ4D7BG4LCEAQNI7GFJ6B","short_pith_number":"pith:TQELLYQ4","canonical_record":{"source":{"id":"2111.03069","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-11-04T18:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"4df7d8525a1b875806f458a8b92c47f3ed169215ae1c4e54e9fd2e23e4f8eefb","abstract_canon_sha256":"16ee7f25ac5feaa20a8d6368007fb432e0886ce022cffd3820b5f2a7bb0ee53b"},"schema_version":"1.0"},"canonical_sha256":"9c08b5e21c1fc26e2c44041a8f98a9f044a21abc0bde487fdabf3cf2adaa8e7c","source":{"kind":"arxiv","id":"2111.03069","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.03069","created_at":"2026-07-05T04:58:01Z"},{"alias_kind":"arxiv_version","alias_value":"2111.03069v1","created_at":"2026-07-05T04:58:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.03069","created_at":"2026-07-05T04:58:01Z"},{"alias_kind":"pith_short_12","alias_value":"TQELLYQ4D7BG","created_at":"2026-07-05T04:58:01Z"},{"alias_kind":"pith_short_16","alias_value":"TQELLYQ4D7BG4LCE","created_at":"2026-07-05T04:58:01Z"},{"alias_kind":"pith_short_8","alias_value":"TQELLYQ4","created_at":"2026-07-05T04:58:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:TQELLYQ4D7BG4LCEAQNI7GFJ6B","target":"record","payload":{"canonical_record":{"source":{"id":"2111.03069","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-11-04T18:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"4df7d8525a1b875806f458a8b92c47f3ed169215ae1c4e54e9fd2e23e4f8eefb","abstract_canon_sha256":"16ee7f25ac5feaa20a8d6368007fb432e0886ce022cffd3820b5f2a7bb0ee53b"},"schema_version":"1.0"},"canonical_sha256":"9c08b5e21c1fc26e2c44041a8f98a9f044a21abc0bde487fdabf3cf2adaa8e7c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:58:01.417061Z","signature_b64":"FKa4FMBSqXxu35/jGdoRL9+sxX3Ahi8vUHgG6geN6/QpAVMC5hzkm7MGwch/NR+ntHA7BpT4gd3QDxDfLgRBAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c08b5e21c1fc26e2c44041a8f98a9f044a21abc0bde487fdabf3cf2adaa8e7c","last_reissued_at":"2026-07-05T04:58:01.416641Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:58:01.416641Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2111.03069","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:58:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rO5rUHmnHU6YvlPEND7Om4rOuD8gqg/V34kpqKbo/xoyHmRPLHxfFnB9ux+9Mch5x9E0C812T1IhrTwXa2/dAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T09:04:04.114043Z"},"content_sha256":"e77e5f0fa2a1bfc90853bb78a4eb8d50e79c5557571600fcbbf29b92d8a08dd9","schema_version":"1.0","event_id":"sha256:e77e5f0fa2a1bfc90853bb78a4eb8d50e79c5557571600fcbbf29b92d8a08dd9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:TQELLYQ4D7BG4LCEAQNI7GFJ6B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The joy of factorization at large $N$: five-dimensional indices and AdS black holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alberto Zaffaroni, Itamar Yaakov, Seyed Morteza Hosseini","submitted_at":"2021-11-04T18:00:01Z","abstract_excerpt":"We discuss the large $N$ factorization properties of five-dimensional supersymmetric partition functions for CFT with a holographic dual. We consider partition functions on manifolds of the form $\\mathcal{M}= \\mathcal{M}_3 \\times S^2_\\epsilon$, where $\\epsilon$ is an equivariant parameter for rotation. We show that, when $\\mathcal{M}_3$ is a squashed three-sphere, the large $N$ partition functions can be obtained by gluing elementary blocks associated with simple physical quantities. The same is true for various observables of the theories on $\\mathcal{M}_3=\\Sigma_\\mathfrak{g} \\times S^1$, whe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.03069","kind":"arxiv","version":1},"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/2111.03069/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:58:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VUMRmQ94V+fokka7XwiQWCjysuAj6u6fwSrZQmCzfiJZp5MxOFwwkF2jpev2hnEMoyF3JGEJc6zElDNCyAGnAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T09:04:04.115087Z"},"content_sha256":"cbe3e62affd854d34c45d9956ea96271cdfe4f93a9af65c012b3219b353661dd","schema_version":"1.0","event_id":"sha256:cbe3e62affd854d34c45d9956ea96271cdfe4f93a9af65c012b3219b353661dd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TQELLYQ4D7BG4LCEAQNI7GFJ6B/bundle.json","state_url":"https://pith.science/pith/TQELLYQ4D7BG4LCEAQNI7GFJ6B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TQELLYQ4D7BG4LCEAQNI7GFJ6B/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":"2026-08-12T09:04:04Z","links":{"resolver":"https://pith.science/pith/TQELLYQ4D7BG4LCEAQNI7GFJ6B","bundle":"https://pith.science/pith/TQELLYQ4D7BG4LCEAQNI7GFJ6B/bundle.json","state":"https://pith.science/pith/TQELLYQ4D7BG4LCEAQNI7GFJ6B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TQELLYQ4D7BG4LCEAQNI7GFJ6B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:TQELLYQ4D7BG4LCEAQNI7GFJ6B","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":"16ee7f25ac5feaa20a8d6368007fb432e0886ce022cffd3820b5f2a7bb0ee53b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-11-04T18:00:01Z","title_canon_sha256":"4df7d8525a1b875806f458a8b92c47f3ed169215ae1c4e54e9fd2e23e4f8eefb"},"schema_version":"1.0","source":{"id":"2111.03069","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.03069","created_at":"2026-07-05T04:58:01Z"},{"alias_kind":"arxiv_version","alias_value":"2111.03069v1","created_at":"2026-07-05T04:58:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.03069","created_at":"2026-07-05T04:58:01Z"},{"alias_kind":"pith_short_12","alias_value":"TQELLYQ4D7BG","created_at":"2026-07-05T04:58:01Z"},{"alias_kind":"pith_short_16","alias_value":"TQELLYQ4D7BG4LCE","created_at":"2026-07-05T04:58:01Z"},{"alias_kind":"pith_short_8","alias_value":"TQELLYQ4","created_at":"2026-07-05T04:58:01Z"}],"graph_snapshots":[{"event_id":"sha256:cbe3e62affd854d34c45d9956ea96271cdfe4f93a9af65c012b3219b353661dd","target":"graph","created_at":"2026-07-05T04:58:01Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2111.03069/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss the large $N$ factorization properties of five-dimensional supersymmetric partition functions for CFT with a holographic dual. We consider partition functions on manifolds of the form $\\mathcal{M}= \\mathcal{M}_3 \\times S^2_\\epsilon$, where $\\epsilon$ is an equivariant parameter for rotation. We show that, when $\\mathcal{M}_3$ is a squashed three-sphere, the large $N$ partition functions can be obtained by gluing elementary blocks associated with simple physical quantities. The same is true for various observables of the theories on $\\mathcal{M}_3=\\Sigma_\\mathfrak{g} \\times S^1$, whe","authors_text":"Alberto Zaffaroni, Itamar Yaakov, Seyed Morteza Hosseini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-11-04T18:00:01Z","title":"The joy of factorization at large $N$: five-dimensional indices and AdS black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.03069","kind":"arxiv","version":1},"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:e77e5f0fa2a1bfc90853bb78a4eb8d50e79c5557571600fcbbf29b92d8a08dd9","target":"record","created_at":"2026-07-05T04:58:01Z","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":"16ee7f25ac5feaa20a8d6368007fb432e0886ce022cffd3820b5f2a7bb0ee53b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-11-04T18:00:01Z","title_canon_sha256":"4df7d8525a1b875806f458a8b92c47f3ed169215ae1c4e54e9fd2e23e4f8eefb"},"schema_version":"1.0","source":{"id":"2111.03069","kind":"arxiv","version":1}},"canonical_sha256":"9c08b5e21c1fc26e2c44041a8f98a9f044a21abc0bde487fdabf3cf2adaa8e7c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c08b5e21c1fc26e2c44041a8f98a9f044a21abc0bde487fdabf3cf2adaa8e7c","first_computed_at":"2026-07-05T04:58:01.416641Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:58:01.416641Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FKa4FMBSqXxu35/jGdoRL9+sxX3Ahi8vUHgG6geN6/QpAVMC5hzkm7MGwch/NR+ntHA7BpT4gd3QDxDfLgRBAA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:58:01.417061Z","signed_message":"canonical_sha256_bytes"},"source_id":"2111.03069","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e77e5f0fa2a1bfc90853bb78a4eb8d50e79c5557571600fcbbf29b92d8a08dd9","sha256:cbe3e62affd854d34c45d9956ea96271cdfe4f93a9af65c012b3219b353661dd"],"state_sha256":"864d8093bf3d0e396279af6dbddcdd354ebb3c8a79a50d17a12956dd3e9655b0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YZA8hfQjPi38c8iG3IydYdFdi/6xXN2wf42Tl+YI6XMKzXDoXd5DIjvosDaVvob8T6aLoWJxotxcLZTitC6bAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T09:04:04.121892Z","bundle_sha256":"4939a598dcc02e52a77dd0da6e159b2f7b3409f45cd81c5f0709a8d13c4102a3"}}