{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:A7IEGICBZH6VL3YSBKOCXSBRXE","short_pith_number":"pith:A7IEGICB","schema_version":"1.0","canonical_sha256":"07d0432041c9fd55ef120a9c2bc831b93c287ebd73473e8305f09a1a5247c516","source":{"kind":"arxiv","id":"1912.00652","version":3},"attestation_state":"computed","paper":{"title":"Generalised conformal higher-spin fields in curved backgrounds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Michael Ponds, Sergei M. Kuzenko","submitted_at":"2019-12-02T09:41:47Z","abstract_excerpt":"The problem of constructing gauge-invariant actions for conformal higher-spin fields in curved backgrounds is known to be notoriously difficult. In this paper we present gauge-invariant models for conformal maximal depth fields with spin $s=5/2$ and $s=3$ in four-dimensional Bach-flat backgrounds. We find that certain lower-spin fields must be introduced to ensure gauge invariance when $s>2$, which is analogous to a conjecture made earlier in the literature for conformal higher-spin fields of minimal depth."},"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":"1912.00652","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-12-02T09:41:47Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"79f850b6341bdbc8b6a3383070f11c4feb2577eef2b2a4a4af864b2cf5c237f6","abstract_canon_sha256":"a2ce2d701c41d4b78025051ec03bf90a254b3ad874d47b24c3494d2fa7fc2b17"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:06:19.347178Z","signature_b64":"FDeEzucRjjt9fpu7QuKpPRCunkFOi+iQl+uoLonjCr+yNcZs9eopmtrhFrCQQrVbT07OA5zOrDM9H/q9idcaAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07d0432041c9fd55ef120a9c2bc831b93c287ebd73473e8305f09a1a5247c516","last_reissued_at":"2026-07-05T01:06:19.346743Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:06:19.346743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalised conformal higher-spin fields in curved backgrounds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Michael Ponds, Sergei M. Kuzenko","submitted_at":"2019-12-02T09:41:47Z","abstract_excerpt":"The problem of constructing gauge-invariant actions for conformal higher-spin fields in curved backgrounds is known to be notoriously difficult. In this paper we present gauge-invariant models for conformal maximal depth fields with spin $s=5/2$ and $s=3$ in four-dimensional Bach-flat backgrounds. We find that certain lower-spin fields must be introduced to ensure gauge invariance when $s>2$, which is analogous to a conjecture made earlier in the literature for conformal higher-spin fields of minimal depth."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.00652","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/1912.00652/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":"1912.00652","created_at":"2026-07-05T01:06:19.346807+00:00"},{"alias_kind":"arxiv_version","alias_value":"1912.00652v3","created_at":"2026-07-05T01:06:19.346807+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.00652","created_at":"2026-07-05T01:06:19.346807+00:00"},{"alias_kind":"pith_short_12","alias_value":"A7IEGICBZH6V","created_at":"2026-07-05T01:06:19.346807+00:00"},{"alias_kind":"pith_short_16","alias_value":"A7IEGICBZH6VL3YS","created_at":"2026-07-05T01:06:19.346807+00:00"},{"alias_kind":"pith_short_8","alias_value":"A7IEGICB","created_at":"2026-07-05T01:06:19.346807+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2412.20459","citing_title":"Scalar Field on a higher-spin Background via Fedosov quantization","ref_index":34,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/A7IEGICBZH6VL3YSBKOCXSBRXE","json":"https://pith.science/pith/A7IEGICBZH6VL3YSBKOCXSBRXE.json","graph_json":"https://pith.science/api/pith-number/A7IEGICBZH6VL3YSBKOCXSBRXE/graph.json","events_json":"https://pith.science/api/pith-number/A7IEGICBZH6VL3YSBKOCXSBRXE/events.json","paper":"https://pith.science/paper/A7IEGICB"},"agent_actions":{"view_html":"https://pith.science/pith/A7IEGICBZH6VL3YSBKOCXSBRXE","download_json":"https://pith.science/pith/A7IEGICBZH6VL3YSBKOCXSBRXE.json","view_paper":"https://pith.science/paper/A7IEGICB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1912.00652&json=true","fetch_graph":"https://pith.science/api/pith-number/A7IEGICBZH6VL3YSBKOCXSBRXE/graph.json","fetch_events":"https://pith.science/api/pith-number/A7IEGICBZH6VL3YSBKOCXSBRXE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A7IEGICBZH6VL3YSBKOCXSBRXE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A7IEGICBZH6VL3YSBKOCXSBRXE/action/storage_attestation","attest_author":"https://pith.science/pith/A7IEGICBZH6VL3YSBKOCXSBRXE/action/author_attestation","sign_citation":"https://pith.science/pith/A7IEGICBZH6VL3YSBKOCXSBRXE/action/citation_signature","submit_replication":"https://pith.science/pith/A7IEGICBZH6VL3YSBKOCXSBRXE/action/replication_record"}},"created_at":"2026-07-05T01:06:19.346807+00:00","updated_at":"2026-07-05T01:06:19.346807+00:00"}