{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:EPMTNVU4Y44NNZH5LRBHALUT65","short_pith_number":"pith:EPMTNVU4","schema_version":"1.0","canonical_sha256":"23d936d69cc738d6e4fd5c42702e93f74d9cc553d30187c74ed642163d9e562c","source":{"kind":"arxiv","id":"1710.10572","version":2},"attestation_state":"computed","paper":{"title":"A note on rectangular partially massless fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Thomas Basile","submitted_at":"2017-10-29T07:41:29Z","abstract_excerpt":"We study a class of non-unitary so(2,d) representations (for even values of d), describing mixed-symmetry partially massless fields which constitute natural candidates for defining higher-spin singletons of higher order. It is shown that this class of so(2,d) modules obeys of natural generalisation of a couple of defining properties of unitary higher-spin singletons. In particular, we find out that upon restriction to the subalgebra so(2,d-1), these representations branch onto a sum of modules describing partially massless fields of various depths. Finally, their tensor product is worked out i"},"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":"1710.10572","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-10-29T07:41:29Z","cross_cats_sorted":[],"title_canon_sha256":"a23b081892ef83de0e8cc940bacf74695b58ca4d68a2b46a48bf741d5efbbada","abstract_canon_sha256":"a7e426ff7d9a3cfb45435d97786561a07587e48ddefe9ba2c343ad82f0322e3a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:58.787834Z","signature_b64":"IqnElSIOH8bkfZuTE7Eqid9JV51jbmZ1Yc+n4QvRhQ72gJghcWxRMTYqqrhIIQvLRpn4ZK5G8/eIF3xPoiFnAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"23d936d69cc738d6e4fd5c42702e93f74d9cc553d30187c74ed642163d9e562c","last_reissued_at":"2026-05-18T00:15:58.787175Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:58.787175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A note on rectangular partially massless fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Thomas Basile","submitted_at":"2017-10-29T07:41:29Z","abstract_excerpt":"We study a class of non-unitary so(2,d) representations (for even values of d), describing mixed-symmetry partially massless fields which constitute natural candidates for defining higher-spin singletons of higher order. It is shown that this class of so(2,d) modules obeys of natural generalisation of a couple of defining properties of unitary higher-spin singletons. In particular, we find out that upon restriction to the subalgebra so(2,d-1), these representations branch onto a sum of modules describing partially massless fields of various depths. Finally, their tensor product is worked out i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10572","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1710.10572","created_at":"2026-05-18T00:15:58.787270+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.10572v2","created_at":"2026-05-18T00:15:58.787270+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.10572","created_at":"2026-05-18T00:15:58.787270+00:00"},{"alias_kind":"pith_short_12","alias_value":"EPMTNVU4Y44N","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_16","alias_value":"EPMTNVU4Y44NNZH5","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_8","alias_value":"EPMTNVU4","created_at":"2026-05-18T12:31:12.930513+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EPMTNVU4Y44NNZH5LRBHALUT65","json":"https://pith.science/pith/EPMTNVU4Y44NNZH5LRBHALUT65.json","graph_json":"https://pith.science/api/pith-number/EPMTNVU4Y44NNZH5LRBHALUT65/graph.json","events_json":"https://pith.science/api/pith-number/EPMTNVU4Y44NNZH5LRBHALUT65/events.json","paper":"https://pith.science/paper/EPMTNVU4"},"agent_actions":{"view_html":"https://pith.science/pith/EPMTNVU4Y44NNZH5LRBHALUT65","download_json":"https://pith.science/pith/EPMTNVU4Y44NNZH5LRBHALUT65.json","view_paper":"https://pith.science/paper/EPMTNVU4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.10572&json=true","fetch_graph":"https://pith.science/api/pith-number/EPMTNVU4Y44NNZH5LRBHALUT65/graph.json","fetch_events":"https://pith.science/api/pith-number/EPMTNVU4Y44NNZH5LRBHALUT65/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EPMTNVU4Y44NNZH5LRBHALUT65/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EPMTNVU4Y44NNZH5LRBHALUT65/action/storage_attestation","attest_author":"https://pith.science/pith/EPMTNVU4Y44NNZH5LRBHALUT65/action/author_attestation","sign_citation":"https://pith.science/pith/EPMTNVU4Y44NNZH5LRBHALUT65/action/citation_signature","submit_replication":"https://pith.science/pith/EPMTNVU4Y44NNZH5LRBHALUT65/action/replication_record"}},"created_at":"2026-05-18T00:15:58.787270+00:00","updated_at":"2026-05-18T00:15:58.787270+00:00"}