{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:JUPWDGF7FTXKTWFPDZMRQAGKN7","short_pith_number":"pith:JUPWDGF7","canonical_record":{"source":{"id":"2104.13932","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-04-28T18:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"aa67c471b7ece65dc61086a0d64e90c73ee23f1860f29153532c38e91895308d","abstract_canon_sha256":"115774950b6e8a193afb430ab5d58da2c22b2233d71530f058747ecd83d7c950"},"schema_version":"1.0"},"canonical_sha256":"4d1f6198bf2ceea9d8af1e591800ca6fc48248acc8879f4e4f606cfbb0e740e7","source":{"kind":"arxiv","id":"2104.13932","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.13932","created_at":"2026-07-05T04:55:35Z"},{"alias_kind":"arxiv_version","alias_value":"2104.13932v2","created_at":"2026-07-05T04:55:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.13932","created_at":"2026-07-05T04:55:35Z"},{"alias_kind":"pith_short_12","alias_value":"JUPWDGF7FTXK","created_at":"2026-07-05T04:55:35Z"},{"alias_kind":"pith_short_16","alias_value":"JUPWDGF7FTXKTWFP","created_at":"2026-07-05T04:55:35Z"},{"alias_kind":"pith_short_8","alias_value":"JUPWDGF7","created_at":"2026-07-05T04:55:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:JUPWDGF7FTXKTWFPDZMRQAGKN7","target":"record","payload":{"canonical_record":{"source":{"id":"2104.13932","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-04-28T18:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"aa67c471b7ece65dc61086a0d64e90c73ee23f1860f29153532c38e91895308d","abstract_canon_sha256":"115774950b6e8a193afb430ab5d58da2c22b2233d71530f058747ecd83d7c950"},"schema_version":"1.0"},"canonical_sha256":"4d1f6198bf2ceea9d8af1e591800ca6fc48248acc8879f4e4f606cfbb0e740e7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:55:35.931291Z","signature_b64":"5Ikf1Wqt+l6/rFTEtBf9NdW2vE32L8wXSGuvdE5uGtuxzyl4bkJCVWCTRE05kRfWto9nmWM6P/xd34U/xhGYBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d1f6198bf2ceea9d8af1e591800ca6fc48248acc8879f4e4f606cfbb0e740e7","last_reissued_at":"2026-07-05T04:55:35.930827Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:55:35.930827Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2104.13932","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":"2026-07-05T04:55:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BtqsN1U7q8Omk68STk/cGJKkXBTDadahl+LHCGExld6cDCnwOl2rnyvV5UBY+BbHFfLTDFKaFEHQ41u4+IEHAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T09:57:29.932439Z"},"content_sha256":"72192094fb10a54d7d49d63ced4268cf0768e406095fa8d56abefe60c325b68e","schema_version":"1.0","event_id":"sha256:72192094fb10a54d7d49d63ced4268cf0768e406095fa8d56abefe60c325b68e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:JUPWDGF7FTXKTWFPDZMRQAGKN7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A gravity interpretation for the Bethe Ansatz expansion of the $\\mathcal{N}=4$ SYM index","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Elisa Milan, Francesco Benini, Ofer Aharony, Ohad Mamroud","submitted_at":"2021-04-28T18:00:02Z","abstract_excerpt":"The superconformal index of the $\\mathcal{N}=4$ SU(N) supersymmetric Yang-Mills theory counts the 1/16-BPS states in this theory, and has been used via the AdS/CFT correspondence to count black hole microstates of 1/16-BPS black holes. On one hand, this index may be related to the Euclidean partition function of the theory on $S^3\\times S^1$ with complex chemical potentials, which maps by the AdS/CFT correspondence to a sum over Euclidean gravity solutions. On the other hand, the index may be expressed as a sum over solutions to Bethe Ansatz Equations (BAEs). We show that the known solutions t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.13932","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2104.13932/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":"2026-07-05T04:55:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n9OEm4TN0lrD+gVryTv3//KpiH6+Dm+9D5vLnhZrDHSMBiYeDLkvWDR3H31C50xZqvsbMaquJONlrp+bLtGtCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T09:57:29.932928Z"},"content_sha256":"a7ce24dd8d979afed5b69c0ba8c1c10d5994405ed670babfedb2ce8be7beb282","schema_version":"1.0","event_id":"sha256:a7ce24dd8d979afed5b69c0ba8c1c10d5994405ed670babfedb2ce8be7beb282"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JUPWDGF7FTXKTWFPDZMRQAGKN7/bundle.json","state_url":"https://pith.science/pith/JUPWDGF7FTXKTWFPDZMRQAGKN7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JUPWDGF7FTXKTWFPDZMRQAGKN7/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":"2026-08-08T09:57:29Z","links":{"resolver":"https://pith.science/pith/JUPWDGF7FTXKTWFPDZMRQAGKN7","bundle":"https://pith.science/pith/JUPWDGF7FTXKTWFPDZMRQAGKN7/bundle.json","state":"https://pith.science/pith/JUPWDGF7FTXKTWFPDZMRQAGKN7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JUPWDGF7FTXKTWFPDZMRQAGKN7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:JUPWDGF7FTXKTWFPDZMRQAGKN7","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":"115774950b6e8a193afb430ab5d58da2c22b2233d71530f058747ecd83d7c950","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-04-28T18:00:02Z","title_canon_sha256":"aa67c471b7ece65dc61086a0d64e90c73ee23f1860f29153532c38e91895308d"},"schema_version":"1.0","source":{"id":"2104.13932","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.13932","created_at":"2026-07-05T04:55:35Z"},{"alias_kind":"arxiv_version","alias_value":"2104.13932v2","created_at":"2026-07-05T04:55:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.13932","created_at":"2026-07-05T04:55:35Z"},{"alias_kind":"pith_short_12","alias_value":"JUPWDGF7FTXK","created_at":"2026-07-05T04:55:35Z"},{"alias_kind":"pith_short_16","alias_value":"JUPWDGF7FTXKTWFP","created_at":"2026-07-05T04:55:35Z"},{"alias_kind":"pith_short_8","alias_value":"JUPWDGF7","created_at":"2026-07-05T04:55:35Z"}],"graph_snapshots":[{"event_id":"sha256:a7ce24dd8d979afed5b69c0ba8c1c10d5994405ed670babfedb2ce8be7beb282","target":"graph","created_at":"2026-07-05T04:55:35Z","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/2104.13932/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The superconformal index of the $\\mathcal{N}=4$ SU(N) supersymmetric Yang-Mills theory counts the 1/16-BPS states in this theory, and has been used via the AdS/CFT correspondence to count black hole microstates of 1/16-BPS black holes. On one hand, this index may be related to the Euclidean partition function of the theory on $S^3\\times S^1$ with complex chemical potentials, which maps by the AdS/CFT correspondence to a sum over Euclidean gravity solutions. On the other hand, the index may be expressed as a sum over solutions to Bethe Ansatz Equations (BAEs). We show that the known solutions t","authors_text":"Elisa Milan, Francesco Benini, Ofer Aharony, Ohad Mamroud","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-04-28T18:00:02Z","title":"A gravity interpretation for the Bethe Ansatz expansion of the $\\mathcal{N}=4$ SYM index"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.13932","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":"sha256:72192094fb10a54d7d49d63ced4268cf0768e406095fa8d56abefe60c325b68e","target":"record","created_at":"2026-07-05T04:55:35Z","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":"115774950b6e8a193afb430ab5d58da2c22b2233d71530f058747ecd83d7c950","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-04-28T18:00:02Z","title_canon_sha256":"aa67c471b7ece65dc61086a0d64e90c73ee23f1860f29153532c38e91895308d"},"schema_version":"1.0","source":{"id":"2104.13932","kind":"arxiv","version":2}},"canonical_sha256":"4d1f6198bf2ceea9d8af1e591800ca6fc48248acc8879f4e4f606cfbb0e740e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d1f6198bf2ceea9d8af1e591800ca6fc48248acc8879f4e4f606cfbb0e740e7","first_computed_at":"2026-07-05T04:55:35.930827Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:55:35.930827Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5Ikf1Wqt+l6/rFTEtBf9NdW2vE32L8wXSGuvdE5uGtuxzyl4bkJCVWCTRE05kRfWto9nmWM6P/xd34U/xhGYBw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:55:35.931291Z","signed_message":"canonical_sha256_bytes"},"source_id":"2104.13932","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72192094fb10a54d7d49d63ced4268cf0768e406095fa8d56abefe60c325b68e","sha256:a7ce24dd8d979afed5b69c0ba8c1c10d5994405ed670babfedb2ce8be7beb282"],"state_sha256":"fcaefcdfac089304db58def008ab3708edee192e4c7e97a8c2c53ce4523ed17c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nsdu/X/ERs0oHx7tII6Ys1hyi6/FrchrBHn56qbK/hCeDMmroCSetya4y0uUDDWZBi8/h5brGX/W7UIvaJaHCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T09:57:29.937424Z","bundle_sha256":"d8a4b359c1929928ef50819f7999ccb4214903fc1ba8e1961cc1ff0b45e635f8"}}