{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:UPVSKJPTHJZFGMNUNTQ3RAO7I5","short_pith_number":"pith:UPVSKJPT","canonical_record":{"source":{"id":"1604.03122","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-11T20:01:19Z","cross_cats_sorted":[],"title_canon_sha256":"e8969cf6200fd7d75c70688467b10f745be3755e6da01aade5c939a172462f7f","abstract_canon_sha256":"80b8c70796854c8e031eb4cc659d3e61d682e23dd3e6f56d938c4192a3372562"},"schema_version":"1.0"},"canonical_sha256":"a3eb2525f33a725331b46ce1b881df47613ccfad4549dbb8800f2401feab02f4","source":{"kind":"arxiv","id":"1604.03122","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03122","created_at":"2026-05-18T00:05:56Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03122v3","created_at":"2026-05-18T00:05:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03122","created_at":"2026-05-18T00:05:56Z"},{"alias_kind":"pith_short_12","alias_value":"UPVSKJPTHJZF","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UPVSKJPTHJZFGMNU","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UPVSKJPT","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:UPVSKJPTHJZFGMNUNTQ3RAO7I5","target":"record","payload":{"canonical_record":{"source":{"id":"1604.03122","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-11T20:01:19Z","cross_cats_sorted":[],"title_canon_sha256":"e8969cf6200fd7d75c70688467b10f745be3755e6da01aade5c939a172462f7f","abstract_canon_sha256":"80b8c70796854c8e031eb4cc659d3e61d682e23dd3e6f56d938c4192a3372562"},"schema_version":"1.0"},"canonical_sha256":"a3eb2525f33a725331b46ce1b881df47613ccfad4549dbb8800f2401feab02f4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:56.870779Z","signature_b64":"FPVVTm3srdqOeNOYPtF+3mEi4MLSETb9MzV+7+R22W+JVYhbh/dUWruRReqGwAl/A4/8em4sf4WthUmivozJBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3eb2525f33a725331b46ce1b881df47613ccfad4549dbb8800f2401feab02f4","last_reissued_at":"2026-05-18T00:05:56.870356Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:56.870356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.03122","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:05:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gq4i2Zcg1blmOmErI/L2uEDbAnbQVVfjhIsBeqhMPKXMeT6SjHoJvQDYii1Nes9TYgjIXHsHEXG8S/HsW7ooDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:10:56.630338Z"},"content_sha256":"25daa97de42788d58e4a97210fda1b6d2e65149d1709ff98d51d363304ed7d41","schema_version":"1.0","event_id":"sha256:25daa97de42788d58e4a97210fda1b6d2e65149d1709ff98d51d363304ed7d41"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:UPVSKJPTHJZFGMNUNTQ3RAO7I5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Large $N$ matrix models for 3d ${\\cal N}=2$ theories: twisted index, free energy and black holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alberto Zaffaroni, Seyed Morteza Hosseini","submitted_at":"2016-04-11T20:01:19Z","abstract_excerpt":"We provide general formulae for the topologically twisted index of a general three-dimensional ${\\cal N}\\geq 2$ gauge theory with an M-theory or massive type IIA dual in the large $N$ limit. The index is defined as the supersymmetric path integral of the theory on $S^2\\times S^1$ in the presence of background magnetic fluxes for the R- and global symmetries and it is conjectured to reproduce the entropy of magnetically charged static BPS AdS$_4$ black holes. For a class of theories with an M-theory dual, we show that the logarithm of the index scales indeed as $N^{3/2}$ (and $N^{5/3}$ in the m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03122","kind":"arxiv","version":3},"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":"2026-05-18T00:05:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g+Ik5Hhr65QXPsq+28vp2CM7pM58xqYErEi6ZCqb/3pO9f26Phyql3JqDY/v/6i/RtiOLUeh1g62ch2IgPrRAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:10:56.631022Z"},"content_sha256":"21dbe2f93ecd81f47311a2c23d7acf336960bd5a5afd42eaea714c9343ca764b","schema_version":"1.0","event_id":"sha256:21dbe2f93ecd81f47311a2c23d7acf336960bd5a5afd42eaea714c9343ca764b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UPVSKJPTHJZFGMNUNTQ3RAO7I5/bundle.json","state_url":"https://pith.science/pith/UPVSKJPTHJZFGMNUNTQ3RAO7I5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UPVSKJPTHJZFGMNUNTQ3RAO7I5/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":"2026-06-05T20:10:56Z","links":{"resolver":"https://pith.science/pith/UPVSKJPTHJZFGMNUNTQ3RAO7I5","bundle":"https://pith.science/pith/UPVSKJPTHJZFGMNUNTQ3RAO7I5/bundle.json","state":"https://pith.science/pith/UPVSKJPTHJZFGMNUNTQ3RAO7I5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UPVSKJPTHJZFGMNUNTQ3RAO7I5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:UPVSKJPTHJZFGMNUNTQ3RAO7I5","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":"80b8c70796854c8e031eb4cc659d3e61d682e23dd3e6f56d938c4192a3372562","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-11T20:01:19Z","title_canon_sha256":"e8969cf6200fd7d75c70688467b10f745be3755e6da01aade5c939a172462f7f"},"schema_version":"1.0","source":{"id":"1604.03122","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03122","created_at":"2026-05-18T00:05:56Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03122v3","created_at":"2026-05-18T00:05:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03122","created_at":"2026-05-18T00:05:56Z"},{"alias_kind":"pith_short_12","alias_value":"UPVSKJPTHJZF","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UPVSKJPTHJZFGMNU","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UPVSKJPT","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:21dbe2f93ecd81f47311a2c23d7acf336960bd5a5afd42eaea714c9343ca764b","target":"graph","created_at":"2026-05-18T00:05:56Z","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 provide general formulae for the topologically twisted index of a general three-dimensional ${\\cal N}\\geq 2$ gauge theory with an M-theory or massive type IIA dual in the large $N$ limit. The index is defined as the supersymmetric path integral of the theory on $S^2\\times S^1$ in the presence of background magnetic fluxes for the R- and global symmetries and it is conjectured to reproduce the entropy of magnetically charged static BPS AdS$_4$ black holes. For a class of theories with an M-theory dual, we show that the logarithm of the index scales indeed as $N^{3/2}$ (and $N^{5/3}$ in the m","authors_text":"Alberto Zaffaroni, Seyed Morteza Hosseini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-11T20:01:19Z","title":"Large $N$ matrix models for 3d ${\\cal N}=2$ theories: twisted index, free energy and black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03122","kind":"arxiv","version":3},"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":"sha256:25daa97de42788d58e4a97210fda1b6d2e65149d1709ff98d51d363304ed7d41","target":"record","created_at":"2026-05-18T00:05:56Z","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":"80b8c70796854c8e031eb4cc659d3e61d682e23dd3e6f56d938c4192a3372562","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-11T20:01:19Z","title_canon_sha256":"e8969cf6200fd7d75c70688467b10f745be3755e6da01aade5c939a172462f7f"},"schema_version":"1.0","source":{"id":"1604.03122","kind":"arxiv","version":3}},"canonical_sha256":"a3eb2525f33a725331b46ce1b881df47613ccfad4549dbb8800f2401feab02f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3eb2525f33a725331b46ce1b881df47613ccfad4549dbb8800f2401feab02f4","first_computed_at":"2026-05-18T00:05:56.870356Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:56.870356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FPVVTm3srdqOeNOYPtF+3mEi4MLSETb9MzV+7+R22W+JVYhbh/dUWruRReqGwAl/A4/8em4sf4WthUmivozJBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:56.870779Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.03122","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25daa97de42788d58e4a97210fda1b6d2e65149d1709ff98d51d363304ed7d41","sha256:21dbe2f93ecd81f47311a2c23d7acf336960bd5a5afd42eaea714c9343ca764b"],"state_sha256":"71901eb079836204c97f2ac31c6cc9c2295c1f6668f548ab8f8106dd7e02adf9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/suaFTCBGq/Z+TzoMATyqkKVMBggQA7Z8Y2ZMmR/orVvjVqIlWv+xletdPNEy9TW2lsg1Zs1hdrUsVNI8HBfAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T20:10:56.635622Z","bundle_sha256":"71944cc94fa7293ed4127b755ec28dda7eb39d6819736a4b4bd32ca822f8aad1"}}