{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZJU5B35TD7MB7BVCRU22PIUKDY","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":"54bd49b5dfe71c809f1d1bc7e4916c4f169e5b7216a66693ea4ea13aa7ee5e3a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-01-12T19:48:35Z","title_canon_sha256":"4340bf7c25c38f19cd57ec84d86cf207803c626273c6de1dba26eb107e668d5d"},"schema_version":"1.0","source":{"id":"1501.02778","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.02778","created_at":"2026-05-18T01:41:11Z"},{"alias_kind":"arxiv_version","alias_value":"1501.02778v1","created_at":"2026-05-18T01:41:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.02778","created_at":"2026-05-18T01:41:11Z"},{"alias_kind":"pith_short_12","alias_value":"ZJU5B35TD7MB","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZJU5B35TD7MB7BVC","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZJU5B35T","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:af1f38229ce41228d8aacf2c50a6766ad027d13b3fd8610d70772db20e3d6822","target":"graph","created_at":"2026-05-18T01:41:11Z","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":"The correlation functions of two or more Euclidean Wilson loops of various shapes in Euclidean anti-de Sitter space are computed by considering the minimal area surfaces connecting the loops. The surfaces are parametrized by Riemann theta functions associated with genus three hyperelliptic Riemann surfaces. In the case of two loops, the distance $L$ by which they are separated can be adjusted by continuously varying a specific branch point of the auxiliary Riemann surface. When $L$ is much larger than the characteristic size of the loops, then the loops are approximately regarded as local oper","authors_text":"Sannah Ziama","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-01-12T19:48:35Z","title":"Holographic Calculations of Euclidean Wilson Loop Correlator in Euclidean anti-de Sitter Space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.02778","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:c55b9870f4011c7e0a4acb8f24185aabb6b679e572575bf9708235892affc0e4","target":"record","created_at":"2026-05-18T01:41:11Z","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":"54bd49b5dfe71c809f1d1bc7e4916c4f169e5b7216a66693ea4ea13aa7ee5e3a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-01-12T19:48:35Z","title_canon_sha256":"4340bf7c25c38f19cd57ec84d86cf207803c626273c6de1dba26eb107e668d5d"},"schema_version":"1.0","source":{"id":"1501.02778","kind":"arxiv","version":1}},"canonical_sha256":"ca69d0efb31fd81f86a28d35a7a28a1e1dee3272b4ad1db263d6f305a48e2a72","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca69d0efb31fd81f86a28d35a7a28a1e1dee3272b4ad1db263d6f305a48e2a72","first_computed_at":"2026-05-18T01:41:11.522980Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:11.522980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Zmvr4/uej7vvqn5RRWNNtNsh26g5JgWOGJ3BO6O3L5NL7WDWFapu0G1gQZBOel35DHQZFfQ/xJjhDodpMUj8Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:11.523666Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.02778","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c55b9870f4011c7e0a4acb8f24185aabb6b679e572575bf9708235892affc0e4","sha256:af1f38229ce41228d8aacf2c50a6766ad027d13b3fd8610d70772db20e3d6822"],"state_sha256":"812708482a87cfb894d0fe672dcc777c22bce478eccb2304e5d7eb13befbecc6"}