{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:ZZQNAXC6ENP42L3T6NZPZGACVQ","short_pith_number":"pith:ZZQNAXC6","schema_version":"1.0","canonical_sha256":"ce60d05c5e235fcd2f73f372fc9802ac3c431bb855891136b508233792e5aaf9","source":{"kind":"arxiv","id":"hep-th/0209266","version":4},"attestation_state":"computed","paper":{"title":"N=1 Supersymmetric $SU(2)^r$ Moose Theories","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Girma Hailu","submitted_at":"2002-09-30T19:15:49Z","abstract_excerpt":"We study the quantum moduli spaces and dynamical superpotentials of four dimensional $SU(2)^r$ linear and ring moose theories with $\\mathcal{N}=1$ supersymmetry and link chiral superfields in the fundamental representation. Nontrivial quantum moduli spaces and dynamical superpotentials are produced. When the moduli space is perturbed by generic tree level superpotentials, the vacuum space becomes discrete. The ring moose is in the Coulomb phase and we find two singular submanifolds with a nontrivial modulus that is a function of all the independent gauge invariants needed to parameterize the q"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-th/0209266","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-09-30T19:15:49Z","cross_cats_sorted":[],"title_canon_sha256":"54590a044cc69edeefdc8d6c9715bd389fd667f1e2d27a9ffe01f3fb2e4bec25","abstract_canon_sha256":"eab4cfbde98b4dd259b0fc7573d79f78c62b50961f654a669d7ac17c1fcc2a93"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:34:17.302117Z","signature_b64":"XR4IGACdGD0v2SNh4t7XhG4nRFRi0LRVQy/ULwHq6bkSttmRKx7T2q/WKlrzwgVwC9K83ThFZvvHGQj9j1MTBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ce60d05c5e235fcd2f73f372fc9802ac3c431bb855891136b508233792e5aaf9","last_reissued_at":"2026-05-18T04:34:17.301472Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:34:17.301472Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"N=1 Supersymmetric $SU(2)^r$ Moose Theories","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Girma Hailu","submitted_at":"2002-09-30T19:15:49Z","abstract_excerpt":"We study the quantum moduli spaces and dynamical superpotentials of four dimensional $SU(2)^r$ linear and ring moose theories with $\\mathcal{N}=1$ supersymmetry and link chiral superfields in the fundamental representation. Nontrivial quantum moduli spaces and dynamical superpotentials are produced. When the moduli space is perturbed by generic tree level superpotentials, the vacuum space becomes discrete. The ring moose is in the Coulomb phase and we find two singular submanifolds with a nontrivial modulus that is a function of all the independent gauge invariants needed to parameterize the q"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0209266","kind":"arxiv","version":4},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0209266","created_at":"2026-05-18T04:34:17.301580+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0209266v4","created_at":"2026-05-18T04:34:17.301580+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0209266","created_at":"2026-05-18T04:34:17.301580+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZZQNAXC6ENP4","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZZQNAXC6ENP42L3T","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZZQNAXC6","created_at":"2026-05-18T12:25:51.375804+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZZQNAXC6ENP42L3T6NZPZGACVQ","json":"https://pith.science/pith/ZZQNAXC6ENP42L3T6NZPZGACVQ.json","graph_json":"https://pith.science/api/pith-number/ZZQNAXC6ENP42L3T6NZPZGACVQ/graph.json","events_json":"https://pith.science/api/pith-number/ZZQNAXC6ENP42L3T6NZPZGACVQ/events.json","paper":"https://pith.science/paper/ZZQNAXC6"},"agent_actions":{"view_html":"https://pith.science/pith/ZZQNAXC6ENP42L3T6NZPZGACVQ","download_json":"https://pith.science/pith/ZZQNAXC6ENP42L3T6NZPZGACVQ.json","view_paper":"https://pith.science/paper/ZZQNAXC6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0209266&json=true","fetch_graph":"https://pith.science/api/pith-number/ZZQNAXC6ENP42L3T6NZPZGACVQ/graph.json","fetch_events":"https://pith.science/api/pith-number/ZZQNAXC6ENP42L3T6NZPZGACVQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZZQNAXC6ENP42L3T6NZPZGACVQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZZQNAXC6ENP42L3T6NZPZGACVQ/action/storage_attestation","attest_author":"https://pith.science/pith/ZZQNAXC6ENP42L3T6NZPZGACVQ/action/author_attestation","sign_citation":"https://pith.science/pith/ZZQNAXC6ENP42L3T6NZPZGACVQ/action/citation_signature","submit_replication":"https://pith.science/pith/ZZQNAXC6ENP42L3T6NZPZGACVQ/action/replication_record"}},"created_at":"2026-05-18T04:34:17.301580+00:00","updated_at":"2026-05-18T04:34:17.301580+00:00"}