{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:DNXB6WTPRNCD3PUZYIGHVXIBXX","short_pith_number":"pith:DNXB6WTP","schema_version":"1.0","canonical_sha256":"1b6e1f5a6f8b443dbe99c20c7add01bdc59af6b2e1e294d0a2e727309ade3cfe","source":{"kind":"arxiv","id":"1002.0028","version":2},"attestation_state":"computed","paper":{"title":"Vanishing Chiral Algebras and H\\\"ohn-Stolz Conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.DG"],"primary_cat":"hep-th","authors_text":"Junya Yagi","submitted_at":"2010-02-01T16:11:50Z","abstract_excerpt":"Given a two-dimensional quantum field theory with (0,2) supersymmetry, one can construct a chiral (or vertex) algebra. The chiral algebra of a (0,2) supersymmetric sigma model is, perturbatively, the cohomology of a sheaf of chiral differential operators on a string K\\\"ahler manifold. However, it vanishes in some cases when instantons are taken into account. I will discuss the implication of this phenomenon for the H\\\"ohn-Stolz conjecture on the Witten genus."},"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":"1002.0028","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-01T16:11:50Z","cross_cats_sorted":["math.AT","math.DG"],"title_canon_sha256":"fd7630426bd5677610bd4b4b2e5177898baddd2b146e61193b08a61932d9206c","abstract_canon_sha256":"228e05902e4d0c91f6aa9f1d7072b2322f5a202c677c207fa48c34c56eb8e505"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:50:34.329628Z","signature_b64":"Ew8PQ243pXjZ2HVzaxlpz1IvqcYnAWOEdy5ZQIrSMylFjViqDcY9g8t1XYn1XY/b5y8JPS5EOOw6RU8jGDrTBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b6e1f5a6f8b443dbe99c20c7add01bdc59af6b2e1e294d0a2e727309ade3cfe","last_reissued_at":"2026-05-18T03:50:34.328861Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:50:34.328861Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Vanishing Chiral Algebras and H\\\"ohn-Stolz Conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.DG"],"primary_cat":"hep-th","authors_text":"Junya Yagi","submitted_at":"2010-02-01T16:11:50Z","abstract_excerpt":"Given a two-dimensional quantum field theory with (0,2) supersymmetry, one can construct a chiral (or vertex) algebra. The chiral algebra of a (0,2) supersymmetric sigma model is, perturbatively, the cohomology of a sheaf of chiral differential operators on a string K\\\"ahler manifold. However, it vanishes in some cases when instantons are taken into account. I will discuss the implication of this phenomenon for the H\\\"ohn-Stolz conjecture on the Witten genus."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.0028","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":"1002.0028","created_at":"2026-05-18T03:50:34.329004+00:00"},{"alias_kind":"arxiv_version","alias_value":"1002.0028v2","created_at":"2026-05-18T03:50:34.329004+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.0028","created_at":"2026-05-18T03:50:34.329004+00:00"},{"alias_kind":"pith_short_12","alias_value":"DNXB6WTPRNCD","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_16","alias_value":"DNXB6WTPRNCD3PUZ","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_8","alias_value":"DNXB6WTP","created_at":"2026-05-18T12:26:06.534383+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/DNXB6WTPRNCD3PUZYIGHVXIBXX","json":"https://pith.science/pith/DNXB6WTPRNCD3PUZYIGHVXIBXX.json","graph_json":"https://pith.science/api/pith-number/DNXB6WTPRNCD3PUZYIGHVXIBXX/graph.json","events_json":"https://pith.science/api/pith-number/DNXB6WTPRNCD3PUZYIGHVXIBXX/events.json","paper":"https://pith.science/paper/DNXB6WTP"},"agent_actions":{"view_html":"https://pith.science/pith/DNXB6WTPRNCD3PUZYIGHVXIBXX","download_json":"https://pith.science/pith/DNXB6WTPRNCD3PUZYIGHVXIBXX.json","view_paper":"https://pith.science/paper/DNXB6WTP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1002.0028&json=true","fetch_graph":"https://pith.science/api/pith-number/DNXB6WTPRNCD3PUZYIGHVXIBXX/graph.json","fetch_events":"https://pith.science/api/pith-number/DNXB6WTPRNCD3PUZYIGHVXIBXX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DNXB6WTPRNCD3PUZYIGHVXIBXX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DNXB6WTPRNCD3PUZYIGHVXIBXX/action/storage_attestation","attest_author":"https://pith.science/pith/DNXB6WTPRNCD3PUZYIGHVXIBXX/action/author_attestation","sign_citation":"https://pith.science/pith/DNXB6WTPRNCD3PUZYIGHVXIBXX/action/citation_signature","submit_replication":"https://pith.science/pith/DNXB6WTPRNCD3PUZYIGHVXIBXX/action/replication_record"}},"created_at":"2026-05-18T03:50:34.329004+00:00","updated_at":"2026-05-18T03:50:34.329004+00:00"}