{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:QZ4LBPUX3LQI5NSTOFTQVF2RZA","short_pith_number":"pith:QZ4LBPUX","schema_version":"1.0","canonical_sha256":"8678b0be97dae08eb65371670a9751c804c9ba5966bc4248624dd44804d21af0","source":{"kind":"arxiv","id":"2406.10875","version":3},"attestation_state":"computed","paper":{"title":"Embedding formalism for AdS superspaces in five dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Nowar E. Koning, Sergei M. Kuzenko","submitted_at":"2024-06-16T09:56:45Z","abstract_excerpt":"The standard geometric description of $d$-dimensional anti-de Sitter (AdS) space is a quadric in ${\\mathbb R}^{d-1,2}$ defined by $(X^0)^2 - (X^1)^2 - \\dots - (X^{d-1})^2 + (X^d)^2 = \\ell^2 = \\text{const}$. In this paper we provide a supersymmetric generalisation of this embedding construction in the $d=5$ case. Specifically, a bi-supertwistor realisation is given for the ${\\cal N}$-extended AdS superspace $\\text{AdS}^{5|8\\cal N}$, with ${\\cal N}\\geq 1$. The proposed formalism offers a simple construction of AdS super-invariants. As an example, we present a new model for a massive superparticl"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2406.10875","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-06-16T09:56:45Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"fce16e46012bb8e4bf85015b23bb94ebf9389f12abfd84802ef058f8eb755a96","abstract_canon_sha256":"7c18a60a89c73cde3761dccdb1ec987f629d0da6f72263f51822c26ab07435be"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:23:20.094938Z","signature_b64":"5iWe02Qmgu9HsxH2kxiG/SW+uJYOE+EnY6HYk8/9PztT1dCJByu5ZtlExmwQ+uM635wpjaXet1y2HVVJI/v5BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8678b0be97dae08eb65371670a9751c804c9ba5966bc4248624dd44804d21af0","last_reissued_at":"2026-07-05T10:23:20.094158Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:23:20.094158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Embedding formalism for AdS superspaces in five dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Nowar E. Koning, Sergei M. Kuzenko","submitted_at":"2024-06-16T09:56:45Z","abstract_excerpt":"The standard geometric description of $d$-dimensional anti-de Sitter (AdS) space is a quadric in ${\\mathbb R}^{d-1,2}$ defined by $(X^0)^2 - (X^1)^2 - \\dots - (X^{d-1})^2 + (X^d)^2 = \\ell^2 = \\text{const}$. In this paper we provide a supersymmetric generalisation of this embedding construction in the $d=5$ case. Specifically, a bi-supertwistor realisation is given for the ${\\cal N}$-extended AdS superspace $\\text{AdS}^{5|8\\cal N}$, with ${\\cal N}\\geq 1$. The proposed formalism offers a simple construction of AdS super-invariants. As an example, we present a new model for a massive superparticl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.10875","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2406.10875/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2406.10875","created_at":"2026-07-05T10:23:20.094243+00:00"},{"alias_kind":"arxiv_version","alias_value":"2406.10875v3","created_at":"2026-07-05T10:23:20.094243+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.10875","created_at":"2026-07-05T10:23:20.094243+00:00"},{"alias_kind":"pith_short_12","alias_value":"QZ4LBPUX3LQI","created_at":"2026-07-05T10:23:20.094243+00:00"},{"alias_kind":"pith_short_16","alias_value":"QZ4LBPUX3LQI5NST","created_at":"2026-07-05T10:23:20.094243+00:00"},{"alias_kind":"pith_short_8","alias_value":"QZ4LBPUX","created_at":"2026-07-05T10:23:20.094243+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.28029","citing_title":"Embedding formalism for anti-de Sitter superspaces","ref_index":3,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QZ4LBPUX3LQI5NSTOFTQVF2RZA","json":"https://pith.science/pith/QZ4LBPUX3LQI5NSTOFTQVF2RZA.json","graph_json":"https://pith.science/api/pith-number/QZ4LBPUX3LQI5NSTOFTQVF2RZA/graph.json","events_json":"https://pith.science/api/pith-number/QZ4LBPUX3LQI5NSTOFTQVF2RZA/events.json","paper":"https://pith.science/paper/QZ4LBPUX"},"agent_actions":{"view_html":"https://pith.science/pith/QZ4LBPUX3LQI5NSTOFTQVF2RZA","download_json":"https://pith.science/pith/QZ4LBPUX3LQI5NSTOFTQVF2RZA.json","view_paper":"https://pith.science/paper/QZ4LBPUX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2406.10875&json=true","fetch_graph":"https://pith.science/api/pith-number/QZ4LBPUX3LQI5NSTOFTQVF2RZA/graph.json","fetch_events":"https://pith.science/api/pith-number/QZ4LBPUX3LQI5NSTOFTQVF2RZA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QZ4LBPUX3LQI5NSTOFTQVF2RZA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QZ4LBPUX3LQI5NSTOFTQVF2RZA/action/storage_attestation","attest_author":"https://pith.science/pith/QZ4LBPUX3LQI5NSTOFTQVF2RZA/action/author_attestation","sign_citation":"https://pith.science/pith/QZ4LBPUX3LQI5NSTOFTQVF2RZA/action/citation_signature","submit_replication":"https://pith.science/pith/QZ4LBPUX3LQI5NSTOFTQVF2RZA/action/replication_record"}},"created_at":"2026-07-05T10:23:20.094243+00:00","updated_at":"2026-07-05T10:23:20.094243+00:00"}