{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CLYEBZH74HQXUF5MBIEFYJ5OXO","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":"fd3b8dd7de0b2af389ecdd86be25289d95f45228ea9928d1a56faf4d714fe9a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-31T11:53:18Z","title_canon_sha256":"01d9f80146ba9b230647ccdf1c310667d3ac2851da52369cfca43250006ff55b"},"schema_version":"1.0","source":{"id":"1603.09542","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.09542","created_at":"2026-05-18T00:57:13Z"},{"alias_kind":"arxiv_version","alias_value":"1603.09542v4","created_at":"2026-05-18T00:57:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.09542","created_at":"2026-05-18T00:57:13Z"},{"alias_kind":"pith_short_12","alias_value":"CLYEBZH74HQX","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CLYEBZH74HQXUF5M","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CLYEBZH7","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:423ae5d11d118c2c41c935317401585c65d18d4f9beef7b52c18dfa3975c1e8c","target":"graph","created_at":"2026-05-18T00:57:13Z","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":"Recently, the bi-local fields attract the interest in studying the duality between $O(N)$ vector model and a higher-spin gauge theory in AdS spacetime. In those theories, the bi-local fields are realized as collective one's of the $O(N)$ vector fields, which are the source of higher-spin bulk fields. Historically, the bi-local fields are introduced as a candidate of non-local fields by Yukawa. Today, Yukawa's bi-local fields are understood from a viewpoint of relativistic two-particle bound systems, the bi-local systems. We study the relation between the bi-local collective fields out of highe","authors_text":"Haruki Toyoda, Kenichi Aouda, Shigefumi Naka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-31T11:53:18Z","title":"Bi-Local Fields in AdS${}_5$ Spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.09542","kind":"arxiv","version":4},"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":"sha256:72aa6be5c44e2f9b22636690b743db2fb98a30a71807969c92420a78d11e33c6","target":"record","created_at":"2026-05-18T00:57:13Z","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":"fd3b8dd7de0b2af389ecdd86be25289d95f45228ea9928d1a56faf4d714fe9a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-31T11:53:18Z","title_canon_sha256":"01d9f80146ba9b230647ccdf1c310667d3ac2851da52369cfca43250006ff55b"},"schema_version":"1.0","source":{"id":"1603.09542","kind":"arxiv","version":4}},"canonical_sha256":"12f040e4ffe1e17a17ac0a085c27aebba8d2ec1b209024188fe3f125e6d1a3ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12f040e4ffe1e17a17ac0a085c27aebba8d2ec1b209024188fe3f125e6d1a3ee","first_computed_at":"2026-05-18T00:57:13.081690Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:13.081690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9pPciIn9fCf4xYQvrvwGCRvTWEPm5Ud3tpFwFaZdzJzDqnU5DROlUD+x48ASCeQtQxBdl43ZPpPAqxBDEqUvCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:13.082263Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.09542","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72aa6be5c44e2f9b22636690b743db2fb98a30a71807969c92420a78d11e33c6","sha256:423ae5d11d118c2c41c935317401585c65d18d4f9beef7b52c18dfa3975c1e8c"],"state_sha256":"cc7a4a78e2d87b10fb26248d07ac8ccd961cb4397e482cb9aa3d3cecc91eb937"}