{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:7DI7C3F7FGTKBXK336LSFXBV5B","short_pith_number":"pith:7DI7C3F7","schema_version":"1.0","canonical_sha256":"f8d1f16cbf29a6a0dd5bdf9722dc35e851e63962ddf68dd7c6b2b6a34e34df65","source":{"kind":"arxiv","id":"2401.12816","version":2},"attestation_state":"computed","paper":{"title":"Ray-Singer Torsion, Topological Strings and Black Holes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"hep-th","authors_text":"Cumrun Vafa","submitted_at":"2024-01-23T14:51:42Z","abstract_excerpt":"Genus one amplitude for topological strings on Calabi-Yau 3-folds can be computed using mirror symmetry: The partition function at genus one gets mapped to a holomorphic version of Ray-Singer torsion on the mirror Calabi-Yau. On the other hand it can be shown by a physical argument that this gives a curvature squared correction term to the gravitational action. This in paticular leads to an effective quantum gravity cutoff known as the species scale, which varies over moduli space of Calabi-Yau manifolds. This resolves some of the puzzles associated to the entropy of small black holes when the"},"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":"2401.12816","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-01-23T14:51:42Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"2fb31765b6b4c12e398411ef87049318b5939c52a0b88882be0ede0d74353a29","abstract_canon_sha256":"344201c0ad86b0ff97eb1cfc16cd97dcaae315ee0cb7f38453b0961337b5322a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:54:07.577073Z","signature_b64":"p7OwUipBnmJ29kqXXBfeJ8sH9zWYA4SDAvkpjg4+xc2AjpHJ+ej/pG3gvFg9W/EWyaYZ6XVOsOIAwy/yyfTIAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f8d1f16cbf29a6a0dd5bdf9722dc35e851e63962ddf68dd7c6b2b6a34e34df65","last_reissued_at":"2026-07-05T07:54:07.576580Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:54:07.576580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ray-Singer Torsion, Topological Strings and Black Holes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"hep-th","authors_text":"Cumrun Vafa","submitted_at":"2024-01-23T14:51:42Z","abstract_excerpt":"Genus one amplitude for topological strings on Calabi-Yau 3-folds can be computed using mirror symmetry: The partition function at genus one gets mapped to a holomorphic version of Ray-Singer torsion on the mirror Calabi-Yau. On the other hand it can be shown by a physical argument that this gives a curvature squared correction term to the gravitational action. This in paticular leads to an effective quantum gravity cutoff known as the species scale, which varies over moduli space of Calabi-Yau manifolds. This resolves some of the puzzles associated to the entropy of small black holes when the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.12816","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2401.12816/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":"2401.12816","created_at":"2026-07-05T07:54:07.576657+00:00"},{"alias_kind":"arxiv_version","alias_value":"2401.12816v2","created_at":"2026-07-05T07:54:07.576657+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.12816","created_at":"2026-07-05T07:54:07.576657+00:00"},{"alias_kind":"pith_short_12","alias_value":"7DI7C3F7FGTK","created_at":"2026-07-05T07:54:07.576657+00:00"},{"alias_kind":"pith_short_16","alias_value":"7DI7C3F7FGTKBXK3","created_at":"2026-07-05T07:54:07.576657+00:00"},{"alias_kind":"pith_short_8","alias_value":"7DI7C3F7","created_at":"2026-07-05T07:54:07.576657+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.00966","citing_title":"On the Origin and Fate of Our Universe","ref_index":12,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7DI7C3F7FGTKBXK336LSFXBV5B","json":"https://pith.science/pith/7DI7C3F7FGTKBXK336LSFXBV5B.json","graph_json":"https://pith.science/api/pith-number/7DI7C3F7FGTKBXK336LSFXBV5B/graph.json","events_json":"https://pith.science/api/pith-number/7DI7C3F7FGTKBXK336LSFXBV5B/events.json","paper":"https://pith.science/paper/7DI7C3F7"},"agent_actions":{"view_html":"https://pith.science/pith/7DI7C3F7FGTKBXK336LSFXBV5B","download_json":"https://pith.science/pith/7DI7C3F7FGTKBXK336LSFXBV5B.json","view_paper":"https://pith.science/paper/7DI7C3F7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2401.12816&json=true","fetch_graph":"https://pith.science/api/pith-number/7DI7C3F7FGTKBXK336LSFXBV5B/graph.json","fetch_events":"https://pith.science/api/pith-number/7DI7C3F7FGTKBXK336LSFXBV5B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7DI7C3F7FGTKBXK336LSFXBV5B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7DI7C3F7FGTKBXK336LSFXBV5B/action/storage_attestation","attest_author":"https://pith.science/pith/7DI7C3F7FGTKBXK336LSFXBV5B/action/author_attestation","sign_citation":"https://pith.science/pith/7DI7C3F7FGTKBXK336LSFXBV5B/action/citation_signature","submit_replication":"https://pith.science/pith/7DI7C3F7FGTKBXK336LSFXBV5B/action/replication_record"}},"created_at":"2026-07-05T07:54:07.576657+00:00","updated_at":"2026-07-05T07:54:07.576657+00:00"}