{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:MFM2IHZSEYK6HDXJRLYOM4SHRL","short_pith_number":"pith:MFM2IHZS","canonical_record":{"source":{"id":"1512.02530","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-08T16:34:01Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"b0ad465487dd014cade679a3ac702470155c59dc2d5038dd7dffa32d0d377835","abstract_canon_sha256":"95a1fda2e9365545b01a06fe2c4917e8c5a1053e6667d72b040a0e01f3884edc"},"schema_version":"1.0"},"canonical_sha256":"6159a41f322615e38ee98af0e672478ae30d8f6762a228d2a817914f851434c1","source":{"kind":"arxiv","id":"1512.02530","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.02530","created_at":"2026-05-18T01:12:16Z"},{"alias_kind":"arxiv_version","alias_value":"1512.02530v1","created_at":"2026-05-18T01:12:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.02530","created_at":"2026-05-18T01:12:16Z"},{"alias_kind":"pith_short_12","alias_value":"MFM2IHZSEYK6","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"MFM2IHZSEYK6HDXJ","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"MFM2IHZS","created_at":"2026-05-18T12:29:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:MFM2IHZSEYK6HDXJRLYOM4SHRL","target":"record","payload":{"canonical_record":{"source":{"id":"1512.02530","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-08T16:34:01Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"b0ad465487dd014cade679a3ac702470155c59dc2d5038dd7dffa32d0d377835","abstract_canon_sha256":"95a1fda2e9365545b01a06fe2c4917e8c5a1053e6667d72b040a0e01f3884edc"},"schema_version":"1.0"},"canonical_sha256":"6159a41f322615e38ee98af0e672478ae30d8f6762a228d2a817914f851434c1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:16.971098Z","signature_b64":"jM0dwzXzWV7S8boFWyAe1TomPuv7pwESE0jDYnnHYJw+MxPrHXjfz4AVSrIm26vAfy+byf+oOGOpJu8dk57SCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6159a41f322615e38ee98af0e672478ae30d8f6762a228d2a817914f851434c1","last_reissued_at":"2026-05-18T01:12:16.970741Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:16.970741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.02530","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":"2026-05-18T01:12:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MEZYqIk4MJUeSwhmaiSKxtzO+2BfLcIj0sNpWxvVghr8ZkKelqajL5t3QmdmLyAw0ni84/VnxoQpJYxJbYOXCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T17:57:57.889087Z"},"content_sha256":"ecc5ecd99d13a51205cc0b0bd69594ace8ef7164ea3d769e67b8638370ac05b5","schema_version":"1.0","event_id":"sha256:ecc5ecd99d13a51205cc0b0bd69594ace8ef7164ea3d769e67b8638370ac05b5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:MFM2IHZSEYK6HDXJRLYOM4SHRL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Building superpotentials in F- GUTs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"E. H. Saidi","submitted_at":"2015-12-08T16:34:01Z","abstract_excerpt":"Using characters of finite group representations, we construct the fusion algebras of operators of the spectrum of F- theory GUTs. These fusion relations are used in building monodromy invariant superpotentials of the low energy effective 4d $\\mathcal{N}=1$ supersymmetric GUT models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.02530","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":"2026-05-18T01:12:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nPMFUHWLh+6P1NHcRFrykJOu9gvhVVcUiwA/nIZXYWxGQMVGUEfesPrE8LOR9tGLbtumeoQYF6vFi0qvYFLWBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T17:57:57.889455Z"},"content_sha256":"8f54c3c61ee3ee7c5b03fcca86c73502381523fa27c6fb527065c5451dae4271","schema_version":"1.0","event_id":"sha256:8f54c3c61ee3ee7c5b03fcca86c73502381523fa27c6fb527065c5451dae4271"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MFM2IHZSEYK6HDXJRLYOM4SHRL/bundle.json","state_url":"https://pith.science/pith/MFM2IHZSEYK6HDXJRLYOM4SHRL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MFM2IHZSEYK6HDXJRLYOM4SHRL/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":"2026-06-03T17:57:57Z","links":{"resolver":"https://pith.science/pith/MFM2IHZSEYK6HDXJRLYOM4SHRL","bundle":"https://pith.science/pith/MFM2IHZSEYK6HDXJRLYOM4SHRL/bundle.json","state":"https://pith.science/pith/MFM2IHZSEYK6HDXJRLYOM4SHRL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MFM2IHZSEYK6HDXJRLYOM4SHRL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:MFM2IHZSEYK6HDXJRLYOM4SHRL","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":"95a1fda2e9365545b01a06fe2c4917e8c5a1053e6667d72b040a0e01f3884edc","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-08T16:34:01Z","title_canon_sha256":"b0ad465487dd014cade679a3ac702470155c59dc2d5038dd7dffa32d0d377835"},"schema_version":"1.0","source":{"id":"1512.02530","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.02530","created_at":"2026-05-18T01:12:16Z"},{"alias_kind":"arxiv_version","alias_value":"1512.02530v1","created_at":"2026-05-18T01:12:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.02530","created_at":"2026-05-18T01:12:16Z"},{"alias_kind":"pith_short_12","alias_value":"MFM2IHZSEYK6","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"MFM2IHZSEYK6HDXJ","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"MFM2IHZS","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:8f54c3c61ee3ee7c5b03fcca86c73502381523fa27c6fb527065c5451dae4271","target":"graph","created_at":"2026-05-18T01:12:16Z","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":"Using characters of finite group representations, we construct the fusion algebras of operators of the spectrum of F- theory GUTs. These fusion relations are used in building monodromy invariant superpotentials of the low energy effective 4d $\\mathcal{N}=1$ supersymmetric GUT models.","authors_text":"E. H. Saidi","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-08T16:34:01Z","title":"On Building superpotentials in F- GUTs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.02530","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:ecc5ecd99d13a51205cc0b0bd69594ace8ef7164ea3d769e67b8638370ac05b5","target":"record","created_at":"2026-05-18T01:12:16Z","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":"95a1fda2e9365545b01a06fe2c4917e8c5a1053e6667d72b040a0e01f3884edc","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-08T16:34:01Z","title_canon_sha256":"b0ad465487dd014cade679a3ac702470155c59dc2d5038dd7dffa32d0d377835"},"schema_version":"1.0","source":{"id":"1512.02530","kind":"arxiv","version":1}},"canonical_sha256":"6159a41f322615e38ee98af0e672478ae30d8f6762a228d2a817914f851434c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6159a41f322615e38ee98af0e672478ae30d8f6762a228d2a817914f851434c1","first_computed_at":"2026-05-18T01:12:16.970741Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:16.970741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jM0dwzXzWV7S8boFWyAe1TomPuv7pwESE0jDYnnHYJw+MxPrHXjfz4AVSrIm26vAfy+byf+oOGOpJu8dk57SCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:16.971098Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.02530","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ecc5ecd99d13a51205cc0b0bd69594ace8ef7164ea3d769e67b8638370ac05b5","sha256:8f54c3c61ee3ee7c5b03fcca86c73502381523fa27c6fb527065c5451dae4271"],"state_sha256":"ade684846fc7d652c171b518e8f9eff8cec4584af57d220ffc34a1043c72d152"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b8eRLWpCww3ZgiYbHAoCdWEjXbRDgWjn8DifT5+wppqZpZ/1BTDBLeF/fGJOYbanfcwVfSk7P0JNt5ffPgZoDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T17:57:57.891512Z","bundle_sha256":"aa9d95c4ab39be3030614c0e26a85ec1a259f058858c471ae0118edfb5553ff2"}}