{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:TF2GCY3JUJWVCDQQXINGYILYTO","short_pith_number":"pith:TF2GCY3J","canonical_record":{"source":{"id":"hep-th/0406226","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-06-24T14:02:26Z","cross_cats_sorted":[],"title_canon_sha256":"c77328094087616ac713e069aadcdd5b58b441e7a2213eeee212416c2e77082a","abstract_canon_sha256":"5b24313c38212213b9d6c22a694e19f08cd408bfec51185ba14ea59d0ad57612"},"schema_version":"1.0"},"canonical_sha256":"9974616369a26d510e10ba1a6c21789b9b36a58f51a951fc2a80497e1d03eab6","source":{"kind":"arxiv","id":"hep-th/0406226","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0406226","created_at":"2026-07-04T16:48:57Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0406226v3","created_at":"2026-07-04T16:48:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0406226","created_at":"2026-07-04T16:48:57Z"},{"alias_kind":"pith_short_12","alias_value":"TF2GCY3JUJWV","created_at":"2026-07-04T16:48:57Z"},{"alias_kind":"pith_short_16","alias_value":"TF2GCY3JUJWVCDQQ","created_at":"2026-07-04T16:48:57Z"},{"alias_kind":"pith_short_8","alias_value":"TF2GCY3J","created_at":"2026-07-04T16:48:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:TF2GCY3JUJWVCDQQXINGYILYTO","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0406226","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-06-24T14:02:26Z","cross_cats_sorted":[],"title_canon_sha256":"c77328094087616ac713e069aadcdd5b58b441e7a2213eeee212416c2e77082a","abstract_canon_sha256":"5b24313c38212213b9d6c22a694e19f08cd408bfec51185ba14ea59d0ad57612"},"schema_version":"1.0"},"canonical_sha256":"9974616369a26d510e10ba1a6c21789b9b36a58f51a951fc2a80497e1d03eab6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:48:57.652068Z","signature_b64":"4jTR+ypchC3u7vZNSQWjbXXkPWc9LriZRFqUQUfUvI5bT4fuquTcKxdr8E7qObMzeIxKp+yCghWvy9pSGEFdCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9974616369a26d510e10ba1a6c21789b9b36a58f51a951fc2a80497e1d03eab6","last_reissued_at":"2026-07-04T16:48:57.651660Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:48:57.651660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0406226","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:48:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j5PcAlYgS1ggBzTkcTs9mLUFoGq9iRGC3gTbn1bRL2LtoSmOy+rxyxPCN9ZLLvtQFLxixzDB4oYczO8qtF8xCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T11:35:34.471814Z"},"content_sha256":"8b4ea19a9d59f21f9c8ceb6445f5c1c662096bf828279ad07f69d850524f631a","schema_version":"1.0","event_id":"sha256:8b4ea19a9d59f21f9c8ceb6445f5c1c662096bf828279ad07f69d850524f631a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:TF2GCY3JUJWVCDQQXINGYILYTO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Notes on Certain (0,2) Correlation Functions","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"E. Sharpe, S. Katz","submitted_at":"2004-06-24T14:02:26Z","abstract_excerpt":"In this paper we shall describe some correlation function computations in perturbative heterotic strings that, for example, in certain circumstances can lend themselves to a heterotic generalization of quantum cohomology calculations. Ordinary quantum chiral rings reflect worldsheet instanton corrections to correlation functions involving products of Dolbeault cohomology groups on the target space. The heterotic generalization described here involves computing worldsheet instanton corrections to correlation functions defined by products of elements of sheaf cohomology groups. One must not only"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0406226","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0406226/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":"2026-07-04T16:48:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t8EJMGpAEWVboo3wZLLHsvkmjNDBAIXzqFBwHkQQfKlVwol7luVRSM5rey0Gin+EFp1dBysYdWucmwdrRqhHBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T11:35:34.472349Z"},"content_sha256":"6d1acdb91deba2df72b6d75b2688d646889d21ac4af046f4cab393e0b25894a7","schema_version":"1.0","event_id":"sha256:6d1acdb91deba2df72b6d75b2688d646889d21ac4af046f4cab393e0b25894a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TF2GCY3JUJWVCDQQXINGYILYTO/bundle.json","state_url":"https://pith.science/pith/TF2GCY3JUJWVCDQQXINGYILYTO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TF2GCY3JUJWVCDQQXINGYILYTO/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":"2026-08-04T11:35:34Z","links":{"resolver":"https://pith.science/pith/TF2GCY3JUJWVCDQQXINGYILYTO","bundle":"https://pith.science/pith/TF2GCY3JUJWVCDQQXINGYILYTO/bundle.json","state":"https://pith.science/pith/TF2GCY3JUJWVCDQQXINGYILYTO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TF2GCY3JUJWVCDQQXINGYILYTO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:TF2GCY3JUJWVCDQQXINGYILYTO","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":"5b24313c38212213b9d6c22a694e19f08cd408bfec51185ba14ea59d0ad57612","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-06-24T14:02:26Z","title_canon_sha256":"c77328094087616ac713e069aadcdd5b58b441e7a2213eeee212416c2e77082a"},"schema_version":"1.0","source":{"id":"hep-th/0406226","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0406226","created_at":"2026-07-04T16:48:57Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0406226v3","created_at":"2026-07-04T16:48:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0406226","created_at":"2026-07-04T16:48:57Z"},{"alias_kind":"pith_short_12","alias_value":"TF2GCY3JUJWV","created_at":"2026-07-04T16:48:57Z"},{"alias_kind":"pith_short_16","alias_value":"TF2GCY3JUJWVCDQQ","created_at":"2026-07-04T16:48:57Z"},{"alias_kind":"pith_short_8","alias_value":"TF2GCY3J","created_at":"2026-07-04T16:48:57Z"}],"graph_snapshots":[{"event_id":"sha256:6d1acdb91deba2df72b6d75b2688d646889d21ac4af046f4cab393e0b25894a7","target":"graph","created_at":"2026-07-04T16:48:57Z","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/hep-th/0406226/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we shall describe some correlation function computations in perturbative heterotic strings that, for example, in certain circumstances can lend themselves to a heterotic generalization of quantum cohomology calculations. Ordinary quantum chiral rings reflect worldsheet instanton corrections to correlation functions involving products of Dolbeault cohomology groups on the target space. The heterotic generalization described here involves computing worldsheet instanton corrections to correlation functions defined by products of elements of sheaf cohomology groups. One must not only","authors_text":"E. Sharpe, S. Katz","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2004-06-24T14:02:26Z","title":"Notes on Certain (0,2) Correlation Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0406226","kind":"arxiv","version":3},"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":"sha256:8b4ea19a9d59f21f9c8ceb6445f5c1c662096bf828279ad07f69d850524f631a","target":"record","created_at":"2026-07-04T16:48:57Z","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":"5b24313c38212213b9d6c22a694e19f08cd408bfec51185ba14ea59d0ad57612","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-06-24T14:02:26Z","title_canon_sha256":"c77328094087616ac713e069aadcdd5b58b441e7a2213eeee212416c2e77082a"},"schema_version":"1.0","source":{"id":"hep-th/0406226","kind":"arxiv","version":3}},"canonical_sha256":"9974616369a26d510e10ba1a6c21789b9b36a58f51a951fc2a80497e1d03eab6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9974616369a26d510e10ba1a6c21789b9b36a58f51a951fc2a80497e1d03eab6","first_computed_at":"2026-07-04T16:48:57.651660Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:48:57.651660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4jTR+ypchC3u7vZNSQWjbXXkPWc9LriZRFqUQUfUvI5bT4fuquTcKxdr8E7qObMzeIxKp+yCghWvy9pSGEFdCA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:48:57.652068Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0406226","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b4ea19a9d59f21f9c8ceb6445f5c1c662096bf828279ad07f69d850524f631a","sha256:6d1acdb91deba2df72b6d75b2688d646889d21ac4af046f4cab393e0b25894a7"],"state_sha256":"f3bae3b688dbb6ea664142ba6befc106ce94ca702a638591d0ae55126a9c600e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p3ZQ9jv1yVqSKqgf+nTCjUGB3R2SXicks/67z1xcNlWgWDgh67Oqu1LLtMJ9qsjfbswrbnc416xMj0zZdiyfBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T11:35:34.476101Z","bundle_sha256":"9871d63d06909da70fd407d6948b9b184534773da7f7925b0a17ef8d1588602a"}}