{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:LWQHK45IWDHTIEZ2CWZNKPPT3C","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":"3c224544b6cd9bb320e546afed97978acd996de6a46b483391520e2810794c50","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-30T07:40:05Z","title_canon_sha256":"dcaef271e08403187103ee10eaf5d77245f8c4bc22aa06c0e865602d83f9c02c"},"schema_version":"1.0","source":{"id":"2412.20769","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.20769","created_at":"2026-07-05T09:55:21Z"},{"alias_kind":"arxiv_version","alias_value":"2412.20769v1","created_at":"2026-07-05T09:55:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.20769","created_at":"2026-07-05T09:55:21Z"},{"alias_kind":"pith_short_12","alias_value":"LWQHK45IWDHT","created_at":"2026-07-05T09:55:21Z"},{"alias_kind":"pith_short_16","alias_value":"LWQHK45IWDHTIEZ2","created_at":"2026-07-05T09:55:21Z"},{"alias_kind":"pith_short_8","alias_value":"LWQHK45I","created_at":"2026-07-05T09:55:21Z"}],"graph_snapshots":[{"event_id":"sha256:802e328445189b3a8739453b4bd30ca68844f5f9fe4ad9263aa0fad3d7a91fae","target":"graph","created_at":"2026-07-05T09:55:21Z","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/2412.20769/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The maximal giant graviton is a D-brane wrapping a maximal $S^3\\subset S^5$ within $\\text{AdS}_5\\times S^5$. It represents an upper bound on the $R$ charge that can be carried by certain bulk states. We study the maximal giant and its half-BPS fluctuations, motivated by a recent proposal \\cite{Lee:2023iil} connecting these fluctuations to trace relations in the boundary theory. In a computation of the partition function of half-BPS states, we find that the maximal giant is an unstable saddle point and that its Lefschetz thimble corresponds to the quantization of an imaginary phase space. The s","authors_text":"Douglas Stanford, Ji Hoon Lee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-30T07:40:05Z","title":"Bulk thimbles dual to trace relations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.20769","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":"sha256:3337f1674b0f2a1f42ed9dee5d262a4412bb63b215270efceb93612b74661c92","target":"record","created_at":"2026-07-05T09:55:21Z","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":"3c224544b6cd9bb320e546afed97978acd996de6a46b483391520e2810794c50","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-30T07:40:05Z","title_canon_sha256":"dcaef271e08403187103ee10eaf5d77245f8c4bc22aa06c0e865602d83f9c02c"},"schema_version":"1.0","source":{"id":"2412.20769","kind":"arxiv","version":1}},"canonical_sha256":"5da07573a8b0cf34133a15b2d53df3d8adc5a607f1dfe34d1f128e5332528485","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5da07573a8b0cf34133a15b2d53df3d8adc5a607f1dfe34d1f128e5332528485","first_computed_at":"2026-07-05T09:55:21.991725Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:55:21.991725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fBCGEOnI4gILQH6oV0YPO4gsvoEBx8IKvrUbSgD81fY6HVKjMzSjlDNWRjIt+rcej3lO/8crc+AoiF59pWOpAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:55:21.992187Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.20769","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3337f1674b0f2a1f42ed9dee5d262a4412bb63b215270efceb93612b74661c92","sha256:802e328445189b3a8739453b4bd30ca68844f5f9fe4ad9263aa0fad3d7a91fae"],"state_sha256":"0fd8caff5a68f633f5c45f9bc8de5ce469fec1d5a070a2621cb051b75cbaa50c"}