{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:KENJV7WTWDGVSXR6CO5PNB6AD2","short_pith_number":"pith:KENJV7WT","schema_version":"1.0","canonical_sha256":"511a9afed3b0cd595e3e13baf687c01e815610037ef81ba645c8982953756f21","source":{"kind":"arxiv","id":"1110.3859","version":1},"attestation_state":"computed","paper":{"title":"On Rademacher Sums, the Largest Mathieu Group, and the Holographic Modularity of Moonshine","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.NT"],"primary_cat":"math.RT","authors_text":"John F.R. Duncan, Miranda C.N. Cheng","submitted_at":"2011-10-18T01:34:47Z","abstract_excerpt":"Recently a conjecture has been proposed which attaches (mock) modular forms to the largest Mathieu group. This may be compared to monstrous moonshine, in which modular functions are attached to elements of the Monster group. One of the most remarkable aspects of monstrous moonshine is the following genus zero property: the modular functions turn out to be the generators for the function fields of their invariance groups. In particular, these invariance groups define genus zero quotients of the upper half plane. It is therefore natural to ask if there is an analogue of this property in the Math"},"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":"1110.3859","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-10-18T01:34:47Z","cross_cats_sorted":["hep-th","math.NT"],"title_canon_sha256":"7b5b4c381f466a635e30128fc11c09a42a7c53d11d161d6cff662ab5b901d613","abstract_canon_sha256":"cf7d592bef288fb1a9b5f5b8205283eb8504e2105ed9a8e2534baa14e85b4f94"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:10:47.791067Z","signature_b64":"2p8f/RTXAShECczcr226x3bkPhGLJqCKuLlfSebQr6t3cu78Ut3jE806ZsA5nBKu3o/drijZdDxZ+Mkmstq8Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"511a9afed3b0cd595e3e13baf687c01e815610037ef81ba645c8982953756f21","last_reissued_at":"2026-05-18T04:10:47.790702Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:10:47.790702Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Rademacher Sums, the Largest Mathieu Group, and the Holographic Modularity of Moonshine","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.NT"],"primary_cat":"math.RT","authors_text":"John F.R. Duncan, Miranda C.N. Cheng","submitted_at":"2011-10-18T01:34:47Z","abstract_excerpt":"Recently a conjecture has been proposed which attaches (mock) modular forms to the largest Mathieu group. This may be compared to monstrous moonshine, in which modular functions are attached to elements of the Monster group. One of the most remarkable aspects of monstrous moonshine is the following genus zero property: the modular functions turn out to be the generators for the function fields of their invariance groups. In particular, these invariance groups define genus zero quotients of the upper half plane. It is therefore natural to ask if there is an analogue of this property in the Math"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.3859","kind":"arxiv","version":1},"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":"1110.3859","created_at":"2026-05-18T04:10:47.790758+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.3859v1","created_at":"2026-05-18T04:10:47.790758+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.3859","created_at":"2026-05-18T04:10:47.790758+00:00"},{"alias_kind":"pith_short_12","alias_value":"KENJV7WTWDGV","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_16","alias_value":"KENJV7WTWDGVSXR6","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_8","alias_value":"KENJV7WT","created_at":"2026-05-18T12:26:32.869790+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2505.03068","citing_title":"M\\\"obius randomness in the Hartle-Hawking state","ref_index":51,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KENJV7WTWDGVSXR6CO5PNB6AD2","json":"https://pith.science/pith/KENJV7WTWDGVSXR6CO5PNB6AD2.json","graph_json":"https://pith.science/api/pith-number/KENJV7WTWDGVSXR6CO5PNB6AD2/graph.json","events_json":"https://pith.science/api/pith-number/KENJV7WTWDGVSXR6CO5PNB6AD2/events.json","paper":"https://pith.science/paper/KENJV7WT"},"agent_actions":{"view_html":"https://pith.science/pith/KENJV7WTWDGVSXR6CO5PNB6AD2","download_json":"https://pith.science/pith/KENJV7WTWDGVSXR6CO5PNB6AD2.json","view_paper":"https://pith.science/paper/KENJV7WT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.3859&json=true","fetch_graph":"https://pith.science/api/pith-number/KENJV7WTWDGVSXR6CO5PNB6AD2/graph.json","fetch_events":"https://pith.science/api/pith-number/KENJV7WTWDGVSXR6CO5PNB6AD2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KENJV7WTWDGVSXR6CO5PNB6AD2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KENJV7WTWDGVSXR6CO5PNB6AD2/action/storage_attestation","attest_author":"https://pith.science/pith/KENJV7WTWDGVSXR6CO5PNB6AD2/action/author_attestation","sign_citation":"https://pith.science/pith/KENJV7WTWDGVSXR6CO5PNB6AD2/action/citation_signature","submit_replication":"https://pith.science/pith/KENJV7WTWDGVSXR6CO5PNB6AD2/action/replication_record"}},"created_at":"2026-05-18T04:10:47.790758+00:00","updated_at":"2026-05-18T04:10:47.790758+00:00"}