{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:GPX2MOTHRBUQLMZHZVDDW4XTDE","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":"23e381acf7e5f32b898ab5825de18c7c5b23d6e2ef88e71f7d5ac85abe65c5cc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-05-05T12:59:42Z","title_canon_sha256":"9b2a56451abbe23a6c17709bc8f25f753f0ca42287653e295b1fa567e7b36cdc"},"schema_version":"1.0","source":{"id":"1205.1130","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.1130","created_at":"2026-05-18T01:57:37Z"},{"alias_kind":"arxiv_version","alias_value":"1205.1130v3","created_at":"2026-05-18T01:57:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.1130","created_at":"2026-05-18T01:57:37Z"},{"alias_kind":"pith_short_12","alias_value":"GPX2MOTHRBUQ","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GPX2MOTHRBUQLMZH","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GPX2MOTH","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:d389c6e88fb97600fc056f29ed41da2c6a0c954e77f48ca35b72fcbbc76017d1","target":"graph","created_at":"2026-05-18T01:57:37Z","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 calculate the one-loop partition function for a massless arbitrary-spin field on quotients of a general dimensional AdS background using the results of arXiv:1103.3627. We use these results to compute the one-loop partition function for a Vasiliev theory in AdS_5. An interesting form of the answer, suggestive of a vacuum character of an enhanced symmetry algebra is obtained. We also observe a close connection between the partition function for this Vasiliev theory and the d-dimensional MacMahon function.","authors_text":"Rajesh Kumar Gupta, Shailesh Lal","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-05-05T12:59:42Z","title":"Partition Functions for Higher-Spin theories in AdS"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.1130","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:cc57ca6dbc99a41f2c268acb94234d233494b4d188454b4cef73901adb9f0d84","target":"record","created_at":"2026-05-18T01:57:37Z","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":"23e381acf7e5f32b898ab5825de18c7c5b23d6e2ef88e71f7d5ac85abe65c5cc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-05-05T12:59:42Z","title_canon_sha256":"9b2a56451abbe23a6c17709bc8f25f753f0ca42287653e295b1fa567e7b36cdc"},"schema_version":"1.0","source":{"id":"1205.1130","kind":"arxiv","version":3}},"canonical_sha256":"33efa63a67886905b327cd463b72f3190c6bfd571a8a9d8c77f726e50f051609","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"33efa63a67886905b327cd463b72f3190c6bfd571a8a9d8c77f726e50f051609","first_computed_at":"2026-05-18T01:57:37.729040Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:37.729040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UF3v+LjoaNtzS+di0Q72oBbMqzdPw82bXK9PW45oK1agW1t21T3fITa2vrXVwtN0+gU8Cc65yDLiS3NnhAhbAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:37.729501Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.1130","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc57ca6dbc99a41f2c268acb94234d233494b4d188454b4cef73901adb9f0d84","sha256:d389c6e88fb97600fc056f29ed41da2c6a0c954e77f48ca35b72fcbbc76017d1"],"state_sha256":"47df82414fd519cc6b3ea0e01a2b083273e6cc864499828d2f8642514f1bfb2b"}