{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:C3GLUNH3KMP5WNOA6KHYW3RYD7","short_pith_number":"pith:C3GLUNH3","canonical_record":{"source":{"id":"hep-th/0001062","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-01-11T14:22:53Z","cross_cats_sorted":[],"title_canon_sha256":"df8ce630beaa9e6151ce8020dbe5fa064dab7cd9eb057a5bafe657190d138508","abstract_canon_sha256":"64c4166511e392301fc556b2a91c75679f577c983d5213421bc798aaf0bc477d"},"schema_version":"1.0"},"canonical_sha256":"16ccba34fb531fdb35c0f28f8b6e381fc545252521fa9d6fe7341390413bd810","source":{"kind":"arxiv","id":"hep-th/0001062","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0001062","created_at":"2026-05-18T04:35:24Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0001062v1","created_at":"2026-05-18T04:35:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0001062","created_at":"2026-05-18T04:35:24Z"},{"alias_kind":"pith_short_12","alias_value":"C3GLUNH3KMP5","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"C3GLUNH3KMP5WNOA","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"C3GLUNH3","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:C3GLUNH3KMP5WNOA6KHYW3RYD7","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0001062","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-01-11T14:22:53Z","cross_cats_sorted":[],"title_canon_sha256":"df8ce630beaa9e6151ce8020dbe5fa064dab7cd9eb057a5bafe657190d138508","abstract_canon_sha256":"64c4166511e392301fc556b2a91c75679f577c983d5213421bc798aaf0bc477d"},"schema_version":"1.0"},"canonical_sha256":"16ccba34fb531fdb35c0f28f8b6e381fc545252521fa9d6fe7341390413bd810","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:24.316447Z","signature_b64":"1e9xmfRioPW7PS5pcKWahxfIjPZcmuP4mjskp5bCoYl10fbJuVfFCeC+fP2uzEaOpeWJXFhUFPWP38c5d/ZYDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16ccba34fb531fdb35c0f28f8b6e381fc545252521fa9d6fe7341390413bd810","last_reissued_at":"2026-05-18T04:35:24.315997Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:24.315997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0001062","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:35:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uJagpkMApc571DyQTV42hAdqeL0xcYNd4jSUidznwSXIMr+iyd5VyeApNiJq6bebB0zT7F6Umch2oQbv1Q2/AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T04:36:58.854459Z"},"content_sha256":"36fafa7df86ead3e1841f85663026b7efa3e81bb109053c5d8add0e4eb4475a1","schema_version":"1.0","event_id":"sha256:36fafa7df86ead3e1841f85663026b7efa3e81bb109053c5d8add0e4eb4475a1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:C3GLUNH3KMP5WNOA6KHYW3RYD7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gauge and Gravitational Couplings from Modular Orbits in Orbifold Compactifications","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Christos Kokorelis","submitted_at":"2000-01-11T14:22:53Z","abstract_excerpt":"We discuss the appearance of modular functions at the one-loop gauge and gravitational couplings in (0,2) non-decomposable N=1 four dimensional orbifold compactifications of the heterotic string. We define the limits for the existence of states causing singularities in the moduli space in the perturbative regime for a generic vacuum of the heterotic string. The \"proof\" provides evidence for the explanation of the stringy Higgs effect."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0001062","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:35:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gF5987yuN4mZfny5pKVisrhn7QB0Zp6HsfD+Zs3oN86wuy57qmxUDEoQsiQUg2hNe68wVD1GqxpmYqVzhe/bBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T04:36:58.855171Z"},"content_sha256":"d36f09b46f9c2f58b2877d4ac3817b6ec898375403695b21f6a19d71a8ca3564","schema_version":"1.0","event_id":"sha256:d36f09b46f9c2f58b2877d4ac3817b6ec898375403695b21f6a19d71a8ca3564"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C3GLUNH3KMP5WNOA6KHYW3RYD7/bundle.json","state_url":"https://pith.science/pith/C3GLUNH3KMP5WNOA6KHYW3RYD7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C3GLUNH3KMP5WNOA6KHYW3RYD7/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":"2026-06-10T04:36:58Z","links":{"resolver":"https://pith.science/pith/C3GLUNH3KMP5WNOA6KHYW3RYD7","bundle":"https://pith.science/pith/C3GLUNH3KMP5WNOA6KHYW3RYD7/bundle.json","state":"https://pith.science/pith/C3GLUNH3KMP5WNOA6KHYW3RYD7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C3GLUNH3KMP5WNOA6KHYW3RYD7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:C3GLUNH3KMP5WNOA6KHYW3RYD7","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":"64c4166511e392301fc556b2a91c75679f577c983d5213421bc798aaf0bc477d","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-01-11T14:22:53Z","title_canon_sha256":"df8ce630beaa9e6151ce8020dbe5fa064dab7cd9eb057a5bafe657190d138508"},"schema_version":"1.0","source":{"id":"hep-th/0001062","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0001062","created_at":"2026-05-18T04:35:24Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0001062v1","created_at":"2026-05-18T04:35:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0001062","created_at":"2026-05-18T04:35:24Z"},{"alias_kind":"pith_short_12","alias_value":"C3GLUNH3KMP5","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"C3GLUNH3KMP5WNOA","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"C3GLUNH3","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:d36f09b46f9c2f58b2877d4ac3817b6ec898375403695b21f6a19d71a8ca3564","target":"graph","created_at":"2026-05-18T04:35:24Z","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"},"paper":{"abstract_excerpt":"We discuss the appearance of modular functions at the one-loop gauge and gravitational couplings in (0,2) non-decomposable N=1 four dimensional orbifold compactifications of the heterotic string. We define the limits for the existence of states causing singularities in the moduli space in the perturbative regime for a generic vacuum of the heterotic string. The \"proof\" provides evidence for the explanation of the stringy Higgs effect.","authors_text":"Christos Kokorelis","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2000-01-11T14:22:53Z","title":"Gauge and Gravitational Couplings from Modular Orbits in Orbifold Compactifications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0001062","kind":"arxiv","version":1},"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":"sha256:36fafa7df86ead3e1841f85663026b7efa3e81bb109053c5d8add0e4eb4475a1","target":"record","created_at":"2026-05-18T04:35:24Z","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":"64c4166511e392301fc556b2a91c75679f577c983d5213421bc798aaf0bc477d","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-01-11T14:22:53Z","title_canon_sha256":"df8ce630beaa9e6151ce8020dbe5fa064dab7cd9eb057a5bafe657190d138508"},"schema_version":"1.0","source":{"id":"hep-th/0001062","kind":"arxiv","version":1}},"canonical_sha256":"16ccba34fb531fdb35c0f28f8b6e381fc545252521fa9d6fe7341390413bd810","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16ccba34fb531fdb35c0f28f8b6e381fc545252521fa9d6fe7341390413bd810","first_computed_at":"2026-05-18T04:35:24.315997Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:24.315997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1e9xmfRioPW7PS5pcKWahxfIjPZcmuP4mjskp5bCoYl10fbJuVfFCeC+fP2uzEaOpeWJXFhUFPWP38c5d/ZYDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:24.316447Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0001062","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36fafa7df86ead3e1841f85663026b7efa3e81bb109053c5d8add0e4eb4475a1","sha256:d36f09b46f9c2f58b2877d4ac3817b6ec898375403695b21f6a19d71a8ca3564"],"state_sha256":"7859a7e1be56a5ff847f4c9b7b92e7c2e8e438d2333ce9352904dd252494e554"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ITFlvQC902JRSZDCkV/P9KJnHTvbwYxlx/BwL4CIpGHNQQfcUEIRNNHiWQ3h9g99B06St3nFC3AuOzk71V2xBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T04:36:58.859023Z","bundle_sha256":"27f432bbce609d67cc09f6da29c4af6d91ffa6b685a226285673b02e0cf1c5ac"}}