{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:VX45EL3KA4LOJWQXM6JHIWHZMO","short_pith_number":"pith:VX45EL3K","schema_version":"1.0","canonical_sha256":"adf9d22f6a0716e4da1767927458f963bedae72ce9d002930961fc9f41980d7f","source":{"kind":"arxiv","id":"2405.21017","version":2},"attestation_state":"computed","paper":{"title":"Generating Triangulations and Fibrations with Reinforcement Learning","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.AG","math.MP"],"primary_cat":"hep-th","authors_text":"Edward Hirst, Elli Heyes, Giorgi Butbaia, Per Berglund, Vishnu Jejjala, Yang-Hui He","submitted_at":"2024-05-31T17:06:14Z","abstract_excerpt":"We apply reinforcement learning (RL) to generate fine regular star triangulations of reflexive polytopes, that give rise to smooth Calabi-Yau (CY) hypersurfaces. We demonstrate that, by simple modifications to the data encoding and reward function, one can search for CYs that satisfy a set of desirable string compactification conditions. For instance, we show that our RL algorithm can generate triangulations together with holomorphic vector bundles that satisfy anomaly cancellation and poly-stability conditions in heterotic compactification. Furthermore, we show that our algorithm can be used "},"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":"2405.21017","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-05-31T17:06:14Z","cross_cats_sorted":["math-ph","math.AG","math.MP"],"title_canon_sha256":"bd9f09cc0a5b39fd35e3fb490d62ec475043ed53b953c11b4ae3bacf20b7e247","abstract_canon_sha256":"d52b307b85cbc6e65056d0b3719a825bd60fabe78aba01566d167cfa2a53ce71"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:31:51.861658Z","signature_b64":"3ged22KanN48EFmc0uogVLdGirRa1bQIa5g5th0+pTomEzoy5WaZCISRMVbrNCOiPoHWneAsi0iq9uPmY/9gBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"adf9d22f6a0716e4da1767927458f963bedae72ce9d002930961fc9f41980d7f","last_reissued_at":"2026-07-05T08:31:51.861143Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:31:51.861143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generating Triangulations and Fibrations with Reinforcement Learning","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.AG","math.MP"],"primary_cat":"hep-th","authors_text":"Edward Hirst, Elli Heyes, Giorgi Butbaia, Per Berglund, Vishnu Jejjala, Yang-Hui He","submitted_at":"2024-05-31T17:06:14Z","abstract_excerpt":"We apply reinforcement learning (RL) to generate fine regular star triangulations of reflexive polytopes, that give rise to smooth Calabi-Yau (CY) hypersurfaces. We demonstrate that, by simple modifications to the data encoding and reward function, one can search for CYs that satisfy a set of desirable string compactification conditions. For instance, we show that our RL algorithm can generate triangulations together with holomorphic vector bundles that satisfy anomaly cancellation and poly-stability conditions in heterotic compactification. Furthermore, we show that our algorithm can be used "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.21017","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/2405.21017/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":"2405.21017","created_at":"2026-07-05T08:31:51.861203+00:00"},{"alias_kind":"arxiv_version","alias_value":"2405.21017v2","created_at":"2026-07-05T08:31:51.861203+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.21017","created_at":"2026-07-05T08:31:51.861203+00:00"},{"alias_kind":"pith_short_12","alias_value":"VX45EL3KA4LO","created_at":"2026-07-05T08:31:51.861203+00:00"},{"alias_kind":"pith_short_16","alias_value":"VX45EL3KA4LOJWQX","created_at":"2026-07-05T08:31:51.861203+00:00"},{"alias_kind":"pith_short_8","alias_value":"VX45EL3K","created_at":"2026-07-05T08:31:51.861203+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2607.00078","citing_title":"Exploring Line Bundle Standard Models with Transformers","ref_index":21,"is_internal_anchor":false},{"citing_arxiv_id":"2605.23900","citing_title":"What to do with a Ricci-flat Calabi--Yau metric?","ref_index":47,"is_internal_anchor":false},{"citing_arxiv_id":"2605.05357","citing_title":"Small Vacuum Energy and Tunneling in a Modified Bousso-Polchinski Model","ref_index":44,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VX45EL3KA4LOJWQXM6JHIWHZMO","json":"https://pith.science/pith/VX45EL3KA4LOJWQXM6JHIWHZMO.json","graph_json":"https://pith.science/api/pith-number/VX45EL3KA4LOJWQXM6JHIWHZMO/graph.json","events_json":"https://pith.science/api/pith-number/VX45EL3KA4LOJWQXM6JHIWHZMO/events.json","paper":"https://pith.science/paper/VX45EL3K"},"agent_actions":{"view_html":"https://pith.science/pith/VX45EL3KA4LOJWQXM6JHIWHZMO","download_json":"https://pith.science/pith/VX45EL3KA4LOJWQXM6JHIWHZMO.json","view_paper":"https://pith.science/paper/VX45EL3K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2405.21017&json=true","fetch_graph":"https://pith.science/api/pith-number/VX45EL3KA4LOJWQXM6JHIWHZMO/graph.json","fetch_events":"https://pith.science/api/pith-number/VX45EL3KA4LOJWQXM6JHIWHZMO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VX45EL3KA4LOJWQXM6JHIWHZMO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VX45EL3KA4LOJWQXM6JHIWHZMO/action/storage_attestation","attest_author":"https://pith.science/pith/VX45EL3KA4LOJWQXM6JHIWHZMO/action/author_attestation","sign_citation":"https://pith.science/pith/VX45EL3KA4LOJWQXM6JHIWHZMO/action/citation_signature","submit_replication":"https://pith.science/pith/VX45EL3KA4LOJWQXM6JHIWHZMO/action/replication_record"}},"created_at":"2026-07-05T08:31:51.861203+00:00","updated_at":"2026-07-05T08:31:51.861203+00:00"}