{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:UD7ROSCX5QBVHHUH4Z4MH6H2ZK","short_pith_number":"pith:UD7ROSCX","schema_version":"1.0","canonical_sha256":"a0ff174857ec03539e87e678c3f8faca96a16013e1dd903df37caebe49e82630","source":{"kind":"arxiv","id":"2105.03662","version":3},"attestation_state":"computed","paper":{"title":"Partition functions of $p$-forms from Harish-Chandra characters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Justin R. David, Jyotirmoy Mukherjee","submitted_at":"2021-05-08T10:17:15Z","abstract_excerpt":"We show that the determinant of the co-exact $p$-form on spheres and anti-deSitter spaces can be written as an integral transform of bulk and edge Harish-Chandra characters. The edge character of a co-exact $p$-form contains characters of anti-symmetric tensors of rank lower to $p$ all the way to the zero-form. Using this result we evaluate the partition function of $p$-forms and demonstrate that they obey known properties under Hodge duality. We show that partition function of conformal forms in even $d+1$ dimensions, on hyperbolic cylinders can be written as integral transforms involving onl"},"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":"2105.03662","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-05-08T10:17:15Z","cross_cats_sorted":[],"title_canon_sha256":"21ee57192fcf7a91b4d91f7a01b1df5dc607d56586c62f5536b766e370e67e5b","abstract_canon_sha256":"846cf7f2486e69cb8f61f5d76549a7b383529a4d9f6b271cb49a00f5a166cfd5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:24:10.755522Z","signature_b64":"KPFasCqWGwQsKmSsU941HGs43kngT3pwrYJtiOueRAKa50CrEILEj5P/+XP7rmnAZb7DWRX/dSWNHfL1guAdDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a0ff174857ec03539e87e678c3f8faca96a16013e1dd903df37caebe49e82630","last_reissued_at":"2026-07-05T03:24:10.754972Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:24:10.754972Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Partition functions of $p$-forms from Harish-Chandra characters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Justin R. David, Jyotirmoy Mukherjee","submitted_at":"2021-05-08T10:17:15Z","abstract_excerpt":"We show that the determinant of the co-exact $p$-form on spheres and anti-deSitter spaces can be written as an integral transform of bulk and edge Harish-Chandra characters. The edge character of a co-exact $p$-form contains characters of anti-symmetric tensors of rank lower to $p$ all the way to the zero-form. Using this result we evaluate the partition function of $p$-forms and demonstrate that they obey known properties under Hodge duality. We show that partition function of conformal forms in even $d+1$ dimensions, on hyperbolic cylinders can be written as integral transforms involving onl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.03662","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/2105.03662/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":"2105.03662","created_at":"2026-07-05T03:24:10.755033+00:00"},{"alias_kind":"arxiv_version","alias_value":"2105.03662v3","created_at":"2026-07-05T03:24:10.755033+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.03662","created_at":"2026-07-05T03:24:10.755033+00:00"},{"alias_kind":"pith_short_12","alias_value":"UD7ROSCX5QBV","created_at":"2026-07-05T03:24:10.755033+00:00"},{"alias_kind":"pith_short_16","alias_value":"UD7ROSCX5QBVHHUH","created_at":"2026-07-05T03:24:10.755033+00:00"},{"alias_kind":"pith_short_8","alias_value":"UD7ROSCX","created_at":"2026-07-05T03:24:10.755033+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.28858","citing_title":"Axions on de Sitter space","ref_index":111,"is_internal_anchor":false},{"citing_arxiv_id":"2605.27870","citing_title":"Revisiting boundary electromagnetic duality and edge modes","ref_index":105,"is_internal_anchor":false},{"citing_arxiv_id":"2501.17912","citing_title":"De Sitter Horizon Edge Partition Functions","ref_index":3,"is_internal_anchor":false},{"citing_arxiv_id":"2506.02142","citing_title":"Gravitons on Nariai Edges","ref_index":59,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UD7ROSCX5QBVHHUH4Z4MH6H2ZK","json":"https://pith.science/pith/UD7ROSCX5QBVHHUH4Z4MH6H2ZK.json","graph_json":"https://pith.science/api/pith-number/UD7ROSCX5QBVHHUH4Z4MH6H2ZK/graph.json","events_json":"https://pith.science/api/pith-number/UD7ROSCX5QBVHHUH4Z4MH6H2ZK/events.json","paper":"https://pith.science/paper/UD7ROSCX"},"agent_actions":{"view_html":"https://pith.science/pith/UD7ROSCX5QBVHHUH4Z4MH6H2ZK","download_json":"https://pith.science/pith/UD7ROSCX5QBVHHUH4Z4MH6H2ZK.json","view_paper":"https://pith.science/paper/UD7ROSCX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2105.03662&json=true","fetch_graph":"https://pith.science/api/pith-number/UD7ROSCX5QBVHHUH4Z4MH6H2ZK/graph.json","fetch_events":"https://pith.science/api/pith-number/UD7ROSCX5QBVHHUH4Z4MH6H2ZK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UD7ROSCX5QBVHHUH4Z4MH6H2ZK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UD7ROSCX5QBVHHUH4Z4MH6H2ZK/action/storage_attestation","attest_author":"https://pith.science/pith/UD7ROSCX5QBVHHUH4Z4MH6H2ZK/action/author_attestation","sign_citation":"https://pith.science/pith/UD7ROSCX5QBVHHUH4Z4MH6H2ZK/action/citation_signature","submit_replication":"https://pith.science/pith/UD7ROSCX5QBVHHUH4Z4MH6H2ZK/action/replication_record"}},"created_at":"2026-07-05T03:24:10.755033+00:00","updated_at":"2026-07-05T03:24:10.755033+00:00"}