{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:NUAIY7UL3XW36X7756TBHMUVRN","short_pith_number":"pith:NUAIY7UL","schema_version":"1.0","canonical_sha256":"6d008c7e8bddedbf5fffefa613b2958b5f108df766cc4acfdc1b8099c45fc692","source":{"kind":"arxiv","id":"1708.07523","version":3},"attestation_state":"computed","paper":{"title":"Attractive Strings and Five-Branes, Skew-Holomorphic Jacobi Forms and Moonshine","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"hep-th","authors_text":"Brandon C. Rayhaun, Jeffrey A. Harvey, John F.R. Duncan, Miranda C.N. Cheng, Sarah M. Harrison, Shamit Kachru","submitted_at":"2017-08-24T18:46:40Z","abstract_excerpt":"We show that certain BPS counting functions for both fundamental strings and strings arising from fivebranes wrapping divisors in Calabi--Yau threefolds naturally give rise to skew-holomorphic Jacobi forms at rational and attractor points in the moduli space of string compactifications. For M5-branes wrapping divisors these are forms of weight negative one, and in the case of multiple M5-branes skew-holomorphic mock Jacobi forms arise. We further find that in simple examples these forms are related to skew-holomorphic (mock) Jacobi forms of weight two that play starring roles in moonshine. We "},"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":"1708.07523","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-08-24T18:46:40Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"3a72d864ca1fe8b019f679d2215c35d4c646e46b5b5a4dbc3407a8c9e7ea3cb5","abstract_canon_sha256":"7d707254425dab584ec2365ae58e967e9f987b4bedc62da90e880e380aa6471e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:04.054008Z","signature_b64":"CwQIUZeZV6CDTMFUskzIc1i+aX6ZGrL2VUa5W2higY9eHqelSo/O1Vw06Qh//LX9NRu6eV+TVkYBWUItZ7hHAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d008c7e8bddedbf5fffefa613b2958b5f108df766cc4acfdc1b8099c45fc692","last_reissued_at":"2026-05-18T00:10:04.053436Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:04.053436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Attractive Strings and Five-Branes, Skew-Holomorphic Jacobi Forms and Moonshine","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"hep-th","authors_text":"Brandon C. Rayhaun, Jeffrey A. Harvey, John F.R. Duncan, Miranda C.N. Cheng, Sarah M. Harrison, Shamit Kachru","submitted_at":"2017-08-24T18:46:40Z","abstract_excerpt":"We show that certain BPS counting functions for both fundamental strings and strings arising from fivebranes wrapping divisors in Calabi--Yau threefolds naturally give rise to skew-holomorphic Jacobi forms at rational and attractor points in the moduli space of string compactifications. For M5-branes wrapping divisors these are forms of weight negative one, and in the case of multiple M5-branes skew-holomorphic mock Jacobi forms arise. We further find that in simple examples these forms are related to skew-holomorphic (mock) Jacobi forms of weight two that play starring roles in moonshine. We "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.07523","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":""},"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":"1708.07523","created_at":"2026-05-18T00:10:04.053548+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.07523v3","created_at":"2026-05-18T00:10:04.053548+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.07523","created_at":"2026-05-18T00:10:04.053548+00:00"},{"alias_kind":"pith_short_12","alias_value":"NUAIY7UL3XW3","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_16","alias_value":"NUAIY7UL3XW36X77","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_8","alias_value":"NUAIY7UL","created_at":"2026-05-18T12:31:34.259226+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/NUAIY7UL3XW36X7756TBHMUVRN","json":"https://pith.science/pith/NUAIY7UL3XW36X7756TBHMUVRN.json","graph_json":"https://pith.science/api/pith-number/NUAIY7UL3XW36X7756TBHMUVRN/graph.json","events_json":"https://pith.science/api/pith-number/NUAIY7UL3XW36X7756TBHMUVRN/events.json","paper":"https://pith.science/paper/NUAIY7UL"},"agent_actions":{"view_html":"https://pith.science/pith/NUAIY7UL3XW36X7756TBHMUVRN","download_json":"https://pith.science/pith/NUAIY7UL3XW36X7756TBHMUVRN.json","view_paper":"https://pith.science/paper/NUAIY7UL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.07523&json=true","fetch_graph":"https://pith.science/api/pith-number/NUAIY7UL3XW36X7756TBHMUVRN/graph.json","fetch_events":"https://pith.science/api/pith-number/NUAIY7UL3XW36X7756TBHMUVRN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NUAIY7UL3XW36X7756TBHMUVRN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NUAIY7UL3XW36X7756TBHMUVRN/action/storage_attestation","attest_author":"https://pith.science/pith/NUAIY7UL3XW36X7756TBHMUVRN/action/author_attestation","sign_citation":"https://pith.science/pith/NUAIY7UL3XW36X7756TBHMUVRN/action/citation_signature","submit_replication":"https://pith.science/pith/NUAIY7UL3XW36X7756TBHMUVRN/action/replication_record"}},"created_at":"2026-05-18T00:10:04.053548+00:00","updated_at":"2026-05-18T00:10:04.053548+00:00"}