{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:WGBOE7RCN555ALDGUHV3MSRAMD","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":"4f758901a4f0b35cc2a22d25ac2723b4845c93c4882aea093651e3bc47dbdf2d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-07T11:29:30Z","title_canon_sha256":"2cf10ba91a92964f9fd0b381ea38dba973fe6d6a8435c3d581888a02923a54dd"},"schema_version":"1.0","source":{"id":"1411.1887","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.1887","created_at":"2026-05-18T02:19:35Z"},{"alias_kind":"arxiv_version","alias_value":"1411.1887v3","created_at":"2026-05-18T02:19:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.1887","created_at":"2026-05-18T02:19:35Z"},{"alias_kind":"pith_short_12","alias_value":"WGBOE7RCN555","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WGBOE7RCN555ALDG","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WGBOE7RC","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:6f999d3751810523afe39de5e2b65b817b5a3de90b28a8a6294896dbd783d0b2","target":"graph","created_at":"2026-05-18T02:19:35Z","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"},"paper":{"abstract_excerpt":"In many instances of holographic correspondences between a d dimensional boundary theory and a d+1 dimensional bulk, a direct argument in the boundary theory implies that there must exist a simple and precise relation between the Euclidean on-shell action of a (d-1)-brane probing the bulk geometry and the Euclidean gravitational bulk action. This relation is crucial for the consistency of holography, yet it is non-trivial from the bulk perspective. In particular, we show that it relies on a nice isoperimetric inequality that must be satisfied in a large class of Poincar\\'e-Einstein spaces. Rem","authors_text":"Antonin Rovai (LMU Munich, Frank Ferrari (U.L. Bruxelles, Intl. Solvay Inst.), MIT)","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-07T11:29:30Z","title":"Holography, Probe Branes and Isoperimetric Inequalities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.1887","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:d39c1fc7ea14e3286e6e3cb1eedc6ced20d7092d0ac68f814fc53fcf89a9adbb","target":"record","created_at":"2026-05-18T02:19:35Z","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":"4f758901a4f0b35cc2a22d25ac2723b4845c93c4882aea093651e3bc47dbdf2d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-07T11:29:30Z","title_canon_sha256":"2cf10ba91a92964f9fd0b381ea38dba973fe6d6a8435c3d581888a02923a54dd"},"schema_version":"1.0","source":{"id":"1411.1887","kind":"arxiv","version":3}},"canonical_sha256":"b182e27e226f7bd02c66a1ebb64a2060fd8b545fde04d97274df18228ba4651f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b182e27e226f7bd02c66a1ebb64a2060fd8b545fde04d97274df18228ba4651f","first_computed_at":"2026-05-18T02:19:35.862795Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:19:35.862795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"isK3f4maqIStfSRh40dnBMMJ9CqXW8+Q0th1pFsSO6JkAXfnsvdZIWTA/+3dzeJMqDu5/7/4avpqattYpEcpCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:19:35.863463Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.1887","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d39c1fc7ea14e3286e6e3cb1eedc6ced20d7092d0ac68f814fc53fcf89a9adbb","sha256:6f999d3751810523afe39de5e2b65b817b5a3de90b28a8a6294896dbd783d0b2"],"state_sha256":"7f75e8b642db77a9458d05b724fc92717452dc6792b0d9c1bff19e867ae534be"}