{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:QSQVSJ3G4JYB527FWD3QYZ4A66","short_pith_number":"pith:QSQVSJ3G","schema_version":"1.0","canonical_sha256":"84a1592766e2701eebe5b0f70c6780f7b3d30aca64a111049099cdf79c0ba5cf","source":{"kind":"arxiv","id":"1610.00707","version":2},"attestation_state":"computed","paper":{"title":"Heterotic sigma models on $T^8$ and the Borcherds automorphic form $\\Phi_{12}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Max Zimet, Natalie M. Paquette, Roberto Volpato, Sarah M. Harrison, Shamit Kachru","submitted_at":"2016-10-03T20:00:00Z","abstract_excerpt":"We consider the spectrum of BPS states of the heterotic sigma model with $(0,8)$ supersymmetry and $T^8$ target, as well as its second-quantized counterpart. We show that the counting function for such states is intimately related to Borcherds' automorphic form $\\Phi_{12}$, a modular form which exhibits automorphy for $O(2,26;{\\mathbb Z})$. We comment on possible implications for Umbral moonshine and theories of AdS$_3$ gravity."},"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":"1610.00707","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-10-03T20:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"3ad673f8fad2f41218a3f67df09f3cdd78f87c3a9f030a17fa3141464a1388f7","abstract_canon_sha256":"35ed19d373d69ada7f800ef6d3f81b938b8fd4970083aae545caf4a922d01221"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:22.220973Z","signature_b64":"0KSksTrKPWxS0h9PXdr2v60QJoxk2KBBMuKFi3qw8pb+AHKfOmRMI3Z61o+vhfPhLwSSCVjXiBj6sFGHEB3PBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84a1592766e2701eebe5b0f70c6780f7b3d30aca64a111049099cdf79c0ba5cf","last_reissued_at":"2026-05-18T00:13:22.220244Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:22.220244Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Heterotic sigma models on $T^8$ and the Borcherds automorphic form $\\Phi_{12}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Max Zimet, Natalie M. Paquette, Roberto Volpato, Sarah M. Harrison, Shamit Kachru","submitted_at":"2016-10-03T20:00:00Z","abstract_excerpt":"We consider the spectrum of BPS states of the heterotic sigma model with $(0,8)$ supersymmetry and $T^8$ target, as well as its second-quantized counterpart. We show that the counting function for such states is intimately related to Borcherds' automorphic form $\\Phi_{12}$, a modular form which exhibits automorphy for $O(2,26;{\\mathbb Z})$. We comment on possible implications for Umbral moonshine and theories of AdS$_3$ gravity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.00707","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":"1610.00707","created_at":"2026-05-18T00:13:22.220346+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.00707v2","created_at":"2026-05-18T00:13:22.220346+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.00707","created_at":"2026-05-18T00:13:22.220346+00:00"},{"alias_kind":"pith_short_12","alias_value":"QSQVSJ3G4JYB","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_16","alias_value":"QSQVSJ3G4JYB527F","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_8","alias_value":"QSQVSJ3G","created_at":"2026-05-18T12:30:41.710351+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/QSQVSJ3G4JYB527FWD3QYZ4A66","json":"https://pith.science/pith/QSQVSJ3G4JYB527FWD3QYZ4A66.json","graph_json":"https://pith.science/api/pith-number/QSQVSJ3G4JYB527FWD3QYZ4A66/graph.json","events_json":"https://pith.science/api/pith-number/QSQVSJ3G4JYB527FWD3QYZ4A66/events.json","paper":"https://pith.science/paper/QSQVSJ3G"},"agent_actions":{"view_html":"https://pith.science/pith/QSQVSJ3G4JYB527FWD3QYZ4A66","download_json":"https://pith.science/pith/QSQVSJ3G4JYB527FWD3QYZ4A66.json","view_paper":"https://pith.science/paper/QSQVSJ3G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.00707&json=true","fetch_graph":"https://pith.science/api/pith-number/QSQVSJ3G4JYB527FWD3QYZ4A66/graph.json","fetch_events":"https://pith.science/api/pith-number/QSQVSJ3G4JYB527FWD3QYZ4A66/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QSQVSJ3G4JYB527FWD3QYZ4A66/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QSQVSJ3G4JYB527FWD3QYZ4A66/action/storage_attestation","attest_author":"https://pith.science/pith/QSQVSJ3G4JYB527FWD3QYZ4A66/action/author_attestation","sign_citation":"https://pith.science/pith/QSQVSJ3G4JYB527FWD3QYZ4A66/action/citation_signature","submit_replication":"https://pith.science/pith/QSQVSJ3G4JYB527FWD3QYZ4A66/action/replication_record"}},"created_at":"2026-05-18T00:13:22.220346+00:00","updated_at":"2026-05-18T00:13:22.220346+00:00"}