{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:Z63KJINO3CRH3PXVX67HOCMQV2","short_pith_number":"pith:Z63KJINO","canonical_record":{"source":{"id":"2008.03089","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-07T11:06:45Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"65e31ecbd0e4d637244b050e32ec11d35c823afd810f88404154d14798d396e8","abstract_canon_sha256":"52444c8c6616d5e56f50f9e580427c6662f1a1873e0e3a66882d58e578635d67"},"schema_version":"1.0"},"canonical_sha256":"cfb6a4a1aed8a27dbef5bfbe770990aead6cf19c885785a747a807d64c0747bc","source":{"kind":"arxiv","id":"2008.03089","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.03089","created_at":"2026-07-05T04:14:22Z"},{"alias_kind":"arxiv_version","alias_value":"2008.03089v2","created_at":"2026-07-05T04:14:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.03089","created_at":"2026-07-05T04:14:22Z"},{"alias_kind":"pith_short_12","alias_value":"Z63KJINO3CRH","created_at":"2026-07-05T04:14:22Z"},{"alias_kind":"pith_short_16","alias_value":"Z63KJINO3CRH3PXV","created_at":"2026-07-05T04:14:22Z"},{"alias_kind":"pith_short_8","alias_value":"Z63KJINO","created_at":"2026-07-05T04:14:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:Z63KJINO3CRH3PXVX67HOCMQV2","target":"record","payload":{"canonical_record":{"source":{"id":"2008.03089","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-07T11:06:45Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"65e31ecbd0e4d637244b050e32ec11d35c823afd810f88404154d14798d396e8","abstract_canon_sha256":"52444c8c6616d5e56f50f9e580427c6662f1a1873e0e3a66882d58e578635d67"},"schema_version":"1.0"},"canonical_sha256":"cfb6a4a1aed8a27dbef5bfbe770990aead6cf19c885785a747a807d64c0747bc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:14:22.552058Z","signature_b64":"szkMqWkjFLfLy7lDzkfL9ikdotvZusJZNQnVy8hboN+fdL0dCjaEhjkWQbvLgTQZ6KMT/SkShzsa63lda+qIDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cfb6a4a1aed8a27dbef5bfbe770990aead6cf19c885785a747a807d64c0747bc","last_reissued_at":"2026-07-05T04:14:22.551634Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:14:22.551634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2008.03089","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:14:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2ssyEFVsuEd1XIUSjs3iGLq0Wx79DeHHSFRy7GpzDY1TVPIrzW1IdcFmT0oj5uoyXaYmRQTC21+pEbsL4euiAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T23:34:50.114041Z"},"content_sha256":"06c7ede696386e2659df07d111900660cc2cb4e91cf8f6729f9c90263e460c93","schema_version":"1.0","event_id":"sha256:06c7ede696386e2659df07d111900660cc2cb4e91cf8f6729f9c90263e460c93"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:Z63KJINO3CRH3PXVX67HOCMQV2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sphere partition function of Calabi-Yau GLSMs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"David Erkinger, Johanna Knapp","submitted_at":"2020-08-07T11:06:45Z","abstract_excerpt":"The sphere partition function of Calabi-Yau gauged linear sigma models (GLSMs) has been shown to compute the exact Kaehler potential of the Kaehler moduli space of a Calabi-Yau. We propose a universal expression for the sphere partition function evaluated in hybrid phases of Calabi-Yau GLSMs that are fibrations of Landau-Ginzburg orbifolds over some base manifold. Special cases include Calabi-Yau complete intersections in toric ambient spaces and Landau-Ginzburg orbifolds. The key ingredients that enter the expression are Givental's I/J-functions, the Gamma class and further data associated to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.03089","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/2008.03089/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:14:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pof6jk1ITaOH/uMBb5R1VUDAqalHL1MALPztQ4hF+J1hSiLNaKRKfdzfy83UjredbHyyzV+dkW/8BHoqF5TUDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T23:34:50.114558Z"},"content_sha256":"fa0eb93c1edf6dfbad2fa865bde7999e6b757e69badff18051bee67c80be1fb9","schema_version":"1.0","event_id":"sha256:fa0eb93c1edf6dfbad2fa865bde7999e6b757e69badff18051bee67c80be1fb9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z63KJINO3CRH3PXVX67HOCMQV2/bundle.json","state_url":"https://pith.science/pith/Z63KJINO3CRH3PXVX67HOCMQV2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z63KJINO3CRH3PXVX67HOCMQV2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-16T23:34:50Z","links":{"resolver":"https://pith.science/pith/Z63KJINO3CRH3PXVX67HOCMQV2","bundle":"https://pith.science/pith/Z63KJINO3CRH3PXVX67HOCMQV2/bundle.json","state":"https://pith.science/pith/Z63KJINO3CRH3PXVX67HOCMQV2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z63KJINO3CRH3PXVX67HOCMQV2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:Z63KJINO3CRH3PXVX67HOCMQV2","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"52444c8c6616d5e56f50f9e580427c6662f1a1873e0e3a66882d58e578635d67","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-07T11:06:45Z","title_canon_sha256":"65e31ecbd0e4d637244b050e32ec11d35c823afd810f88404154d14798d396e8"},"schema_version":"1.0","source":{"id":"2008.03089","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.03089","created_at":"2026-07-05T04:14:22Z"},{"alias_kind":"arxiv_version","alias_value":"2008.03089v2","created_at":"2026-07-05T04:14:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.03089","created_at":"2026-07-05T04:14:22Z"},{"alias_kind":"pith_short_12","alias_value":"Z63KJINO3CRH","created_at":"2026-07-05T04:14:22Z"},{"alias_kind":"pith_short_16","alias_value":"Z63KJINO3CRH3PXV","created_at":"2026-07-05T04:14:22Z"},{"alias_kind":"pith_short_8","alias_value":"Z63KJINO","created_at":"2026-07-05T04:14:22Z"}],"graph_snapshots":[{"event_id":"sha256:fa0eb93c1edf6dfbad2fa865bde7999e6b757e69badff18051bee67c80be1fb9","target":"graph","created_at":"2026-07-05T04:14:22Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2008.03089/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The sphere partition function of Calabi-Yau gauged linear sigma models (GLSMs) has been shown to compute the exact Kaehler potential of the Kaehler moduli space of a Calabi-Yau. We propose a universal expression for the sphere partition function evaluated in hybrid phases of Calabi-Yau GLSMs that are fibrations of Landau-Ginzburg orbifolds over some base manifold. Special cases include Calabi-Yau complete intersections in toric ambient spaces and Landau-Ginzburg orbifolds. The key ingredients that enter the expression are Givental's I/J-functions, the Gamma class and further data associated to","authors_text":"David Erkinger, Johanna Knapp","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-07T11:06:45Z","title":"Sphere partition function of Calabi-Yau GLSMs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.03089","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:06c7ede696386e2659df07d111900660cc2cb4e91cf8f6729f9c90263e460c93","target":"record","created_at":"2026-07-05T04:14:22Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"52444c8c6616d5e56f50f9e580427c6662f1a1873e0e3a66882d58e578635d67","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-07T11:06:45Z","title_canon_sha256":"65e31ecbd0e4d637244b050e32ec11d35c823afd810f88404154d14798d396e8"},"schema_version":"1.0","source":{"id":"2008.03089","kind":"arxiv","version":2}},"canonical_sha256":"cfb6a4a1aed8a27dbef5bfbe770990aead6cf19c885785a747a807d64c0747bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cfb6a4a1aed8a27dbef5bfbe770990aead6cf19c885785a747a807d64c0747bc","first_computed_at":"2026-07-05T04:14:22.551634Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:14:22.551634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"szkMqWkjFLfLy7lDzkfL9ikdotvZusJZNQnVy8hboN+fdL0dCjaEhjkWQbvLgTQZ6KMT/SkShzsa63lda+qIDg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:14:22.552058Z","signed_message":"canonical_sha256_bytes"},"source_id":"2008.03089","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:06c7ede696386e2659df07d111900660cc2cb4e91cf8f6729f9c90263e460c93","sha256:fa0eb93c1edf6dfbad2fa865bde7999e6b757e69badff18051bee67c80be1fb9"],"state_sha256":"0b20ffb8fb11640e4db6f56c2404215f2032e74081abfdb9816084641bf13481"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iqHn5Ae4p/Sk1WVoiG/IbwkvEIXAR+Bz8/9rf89MuZOB+6vCKaM/Q04rPQZ/RM55FswF60tekv6+0YfZCOW2Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T23:34:50.119583Z","bundle_sha256":"48ae266aa9cee8bf7e01330d40b5f93070873344e76a66c6fecbdaadb8252c38"}}