{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:4MG6CVBXSTHW6DF3QMW53ICPZO","short_pith_number":"pith:4MG6CVBX","canonical_record":{"source":{"id":"1808.04070","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-13T06:05:08Z","cross_cats_sorted":[],"title_canon_sha256":"4ca48975ce8a25435d9cc41fac5d0049296f6b8a8b1ac9e29b9c52a68900a788","abstract_canon_sha256":"d0a11fe617e5ac5900b46f2c907c87f8b7f33a13e67a942eb91055d972840cc4"},"schema_version":"1.0"},"canonical_sha256":"e30de1543794cf6f0cbb832ddda04fcba8e152b28268eaeb997c13bcf00ff506","source":{"kind":"arxiv","id":"1808.04070","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.04070","created_at":"2026-07-05T01:05:08Z"},{"alias_kind":"arxiv_version","alias_value":"1808.04070v1","created_at":"2026-07-05T01:05:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.04070","created_at":"2026-07-05T01:05:08Z"},{"alias_kind":"pith_short_12","alias_value":"4MG6CVBXSTHW","created_at":"2026-07-05T01:05:08Z"},{"alias_kind":"pith_short_16","alias_value":"4MG6CVBXSTHW6DF3","created_at":"2026-07-05T01:05:08Z"},{"alias_kind":"pith_short_8","alias_value":"4MG6CVBX","created_at":"2026-07-05T01:05:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:4MG6CVBXSTHW6DF3QMW53ICPZO","target":"record","payload":{"canonical_record":{"source":{"id":"1808.04070","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-13T06:05:08Z","cross_cats_sorted":[],"title_canon_sha256":"4ca48975ce8a25435d9cc41fac5d0049296f6b8a8b1ac9e29b9c52a68900a788","abstract_canon_sha256":"d0a11fe617e5ac5900b46f2c907c87f8b7f33a13e67a942eb91055d972840cc4"},"schema_version":"1.0"},"canonical_sha256":"e30de1543794cf6f0cbb832ddda04fcba8e152b28268eaeb997c13bcf00ff506","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:05:08.234203Z","signature_b64":"zQ316IT2CbgxOsv1wkTKhwTVeX2YiToBJ+5si8cKNE+M6EinI3pJRLLNKRQtgh+mhENMGV09OCEAjDAsnVjXAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e30de1543794cf6f0cbb832ddda04fcba8e152b28268eaeb997c13bcf00ff506","last_reissued_at":"2026-07-05T01:05:08.233728Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:05:08.233728Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.04070","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":"2026-07-05T01:05:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bsD/l/vpwRW62D7tJmPpYFcTpjCw1jTXH9StS8kaLCqzmQyZfPHjZNWd86SR1pyq6vRUgEv7pdoKhsiw75QvDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-25T19:54:02.552496Z"},"content_sha256":"86a7e5ae6ae76634cca1a4c0ba4ce2c84eac6c6ffa4ffbf04cd709bfcdf89664","schema_version":"1.0","event_id":"sha256:86a7e5ae6ae76634cca1a4c0ba4ce2c84eac6c6ffa4ffbf04cd709bfcdf89664"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:4MG6CVBXSTHW6DF3QMW53ICPZO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-dimensional supersymmetric gauge theories with exceptional gauge groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"E. Sharpe, H. Parsian, W. Gu, Z. Chen","submitted_at":"2018-08-13T06:05:08Z","abstract_excerpt":"We apply the recent proposal for mirrors of nonabelian (2,2) supersymmetric two-dimensional gauge theories to make predictions for two-dimensional supersymmetric gauge theories with exceptional gauge groups G2, F4, E6, E7, and E8. We compute the mirror Landau-Ginzburg models and predict excluded Coulomb loci and Coulomb branch relations (quantum cohomology). We also discuss the relationship between weight lattice normalizations and theta angle periodicities in the proposal, and explore different conventions for the mirrors. Finally, we discuss the behavior of pure gauge theories with exception"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.04070","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1808.04070/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":"2026-07-05T01:05:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6s8WBJikZtf/ARLUprZZ5/EbyXoPP9+Hrjrtx39Lhtd4Yu47fSQgFQ4KJzhF7hJaqV9ZUBJnpTdZKjq+1iSwBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-25T19:54:02.552871Z"},"content_sha256":"dd95725f7656d4633bb62d9474d9c396293479250e20feaafe805baf8b529ead","schema_version":"1.0","event_id":"sha256:dd95725f7656d4633bb62d9474d9c396293479250e20feaafe805baf8b529ead"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4MG6CVBXSTHW6DF3QMW53ICPZO/bundle.json","state_url":"https://pith.science/pith/4MG6CVBXSTHW6DF3QMW53ICPZO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4MG6CVBXSTHW6DF3QMW53ICPZO/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":"2026-07-25T19:54:02Z","links":{"resolver":"https://pith.science/pith/4MG6CVBXSTHW6DF3QMW53ICPZO","bundle":"https://pith.science/pith/4MG6CVBXSTHW6DF3QMW53ICPZO/bundle.json","state":"https://pith.science/pith/4MG6CVBXSTHW6DF3QMW53ICPZO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4MG6CVBXSTHW6DF3QMW53ICPZO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4MG6CVBXSTHW6DF3QMW53ICPZO","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":"d0a11fe617e5ac5900b46f2c907c87f8b7f33a13e67a942eb91055d972840cc4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-13T06:05:08Z","title_canon_sha256":"4ca48975ce8a25435d9cc41fac5d0049296f6b8a8b1ac9e29b9c52a68900a788"},"schema_version":"1.0","source":{"id":"1808.04070","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.04070","created_at":"2026-07-05T01:05:08Z"},{"alias_kind":"arxiv_version","alias_value":"1808.04070v1","created_at":"2026-07-05T01:05:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.04070","created_at":"2026-07-05T01:05:08Z"},{"alias_kind":"pith_short_12","alias_value":"4MG6CVBXSTHW","created_at":"2026-07-05T01:05:08Z"},{"alias_kind":"pith_short_16","alias_value":"4MG6CVBXSTHW6DF3","created_at":"2026-07-05T01:05:08Z"},{"alias_kind":"pith_short_8","alias_value":"4MG6CVBX","created_at":"2026-07-05T01:05:08Z"}],"graph_snapshots":[{"event_id":"sha256:dd95725f7656d4633bb62d9474d9c396293479250e20feaafe805baf8b529ead","target":"graph","created_at":"2026-07-05T01:05:08Z","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/1808.04070/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We apply the recent proposal for mirrors of nonabelian (2,2) supersymmetric two-dimensional gauge theories to make predictions for two-dimensional supersymmetric gauge theories with exceptional gauge groups G2, F4, E6, E7, and E8. We compute the mirror Landau-Ginzburg models and predict excluded Coulomb loci and Coulomb branch relations (quantum cohomology). We also discuss the relationship between weight lattice normalizations and theta angle periodicities in the proposal, and explore different conventions for the mirrors. Finally, we discuss the behavior of pure gauge theories with exception","authors_text":"E. Sharpe, H. Parsian, W. Gu, Z. Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-13T06:05:08Z","title":"Two-dimensional supersymmetric gauge theories with exceptional gauge groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.04070","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":"sha256:86a7e5ae6ae76634cca1a4c0ba4ce2c84eac6c6ffa4ffbf04cd709bfcdf89664","target":"record","created_at":"2026-07-05T01:05:08Z","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":"d0a11fe617e5ac5900b46f2c907c87f8b7f33a13e67a942eb91055d972840cc4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-13T06:05:08Z","title_canon_sha256":"4ca48975ce8a25435d9cc41fac5d0049296f6b8a8b1ac9e29b9c52a68900a788"},"schema_version":"1.0","source":{"id":"1808.04070","kind":"arxiv","version":1}},"canonical_sha256":"e30de1543794cf6f0cbb832ddda04fcba8e152b28268eaeb997c13bcf00ff506","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e30de1543794cf6f0cbb832ddda04fcba8e152b28268eaeb997c13bcf00ff506","first_computed_at":"2026-07-05T01:05:08.233728Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:05:08.233728Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zQ316IT2CbgxOsv1wkTKhwTVeX2YiToBJ+5si8cKNE+M6EinI3pJRLLNKRQtgh+mhENMGV09OCEAjDAsnVjXAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:05:08.234203Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.04070","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86a7e5ae6ae76634cca1a4c0ba4ce2c84eac6c6ffa4ffbf04cd709bfcdf89664","sha256:dd95725f7656d4633bb62d9474d9c396293479250e20feaafe805baf8b529ead"],"state_sha256":"1db429df132d3d18a849ff368e788c2afe50e7fdb6bb450d293d69fa0ba299fe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C9+eT0zaA5jJhL3l7r6Pww1nsF7CJyuiak70XCnJvGkWI6YnHdxC+W+w363MKaWFapxfdLAj3++GudcxGdF0DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-25T19:54:02.555373Z","bundle_sha256":"f369030ee7dba71dc20f1f77c67c87d0819641336749ce8321ad46a4112faad2"}}