{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:W43UQGNPH4MDL33MQYX7QF34AD","short_pith_number":"pith:W43UQGNP","schema_version":"1.0","canonical_sha256":"b7374819af3f1835ef6c862ff8177c00ed742a4fef2d41b603c9e1c617d21997","source":{"kind":"arxiv","id":"hep-th/0212208","version":3},"attestation_state":"computed","paper":{"title":"The Bethe-Ansatz for N=4 Super Yang-Mills","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"J. A. Minahan, K. Zarembo (Uppsala)","submitted_at":"2002-12-17T20:01:42Z","abstract_excerpt":"We derive the one loop mixing matrix for anomalous dimensions in N=4 Super Yang-Mills. We show that this matrix can be identified with the Hamiltonian of an integrable SO(6) spin chain with vector sites. We then use the Bethe ansatz to find a recipe for computing anomalous dimensions for a wide range of operators. We give exact results for BMN operators with two impurities and results up to and including first order 1/J corrections for BMN operators with many impurities. We then use a result of Reshetikhin's to find the exact one-loop anomalous dimension for an SO(6) singlet in the limit of la"},"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/0212208","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-12-17T20:01:42Z","cross_cats_sorted":[],"title_canon_sha256":"ec3e3a8e56b75bee01ef432f02f491ce060b2a364aa89058af87757d06d8fda7","abstract_canon_sha256":"95e6b1a124abc6331067224650aa120a4d2b958cdb2d302574e1d3004b55c1d9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:35:00.773995Z","signature_b64":"QU1P4sKEjDUJKV/J133Mnu7r0H7rAvfK/Px5HzOH8V6dRrmOs2BM6zD+k8ocFap4W+0+tZYIb5q5gk77kWVHDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7374819af3f1835ef6c862ff8177c00ed742a4fef2d41b603c9e1c617d21997","last_reissued_at":"2026-07-04T16:35:00.773554Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:35:00.773554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Bethe-Ansatz for N=4 Super Yang-Mills","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"J. A. Minahan, K. Zarembo (Uppsala)","submitted_at":"2002-12-17T20:01:42Z","abstract_excerpt":"We derive the one loop mixing matrix for anomalous dimensions in N=4 Super Yang-Mills. We show that this matrix can be identified with the Hamiltonian of an integrable SO(6) spin chain with vector sites. We then use the Bethe ansatz to find a recipe for computing anomalous dimensions for a wide range of operators. We give exact results for BMN operators with two impurities and results up to and including first order 1/J corrections for BMN operators with many impurities. We then use a result of Reshetikhin's to find the exact one-loop anomalous dimension for an SO(6) singlet in the limit of la"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0212208","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/0212208/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0212208","created_at":"2026-07-04T16:35:00.773627+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0212208v3","created_at":"2026-07-04T16:35:00.773627+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0212208","created_at":"2026-07-04T16:35:00.773627+00:00"},{"alias_kind":"pith_short_12","alias_value":"W43UQGNPH4MD","created_at":"2026-07-04T16:35:00.773627+00:00"},{"alias_kind":"pith_short_16","alias_value":"W43UQGNPH4MDL33M","created_at":"2026-07-04T16:35:00.773627+00:00"},{"alias_kind":"pith_short_8","alias_value":"W43UQGNP","created_at":"2026-07-04T16:35:00.773627+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":9,"internal_anchor_count":7,"sample":[{"citing_arxiv_id":"2606.23785","citing_title":"Controlled Chaos in 4D SCFTs","ref_index":84,"is_internal_anchor":true},{"citing_arxiv_id":"2606.21662","citing_title":"On the Universality of Probe Complexity in $\\mathcal{N}=4$ SYM","ref_index":5,"is_internal_anchor":true},{"citing_arxiv_id":"2606.18351","citing_title":"Probing weak chaos in $\\mathcal N=4$ super Yang-Mills and long-range spin chains","ref_index":12,"is_internal_anchor":true},{"citing_arxiv_id":"2606.30368","citing_title":"Positivity properties of observables in planar maximally supersymmetric Yang-Mills theory","ref_index":65,"is_internal_anchor":true},{"citing_arxiv_id":"2605.24085","citing_title":"Finite scalar field theory with SU(1,1) spacetime symmetry from near-BPS limits of $\\mathcal{N}=4$ SYM","ref_index":27,"is_internal_anchor":true},{"citing_arxiv_id":"2605.18213","citing_title":"The classical Yangian symmetry of Auxiliary Field Sigma Models","ref_index":20,"is_internal_anchor":true},{"citing_arxiv_id":"2601.15736","citing_title":"Heavy holographic correlators in defect conformal field theories","ref_index":21,"is_internal_anchor":true},{"citing_arxiv_id":"2604.27189","citing_title":"The quantum group structure of long-range integrable deformations","ref_index":45,"is_internal_anchor":false},{"citing_arxiv_id":"2604.07291","citing_title":"Groenewold-Moyal twists, integrable spin-chains and AdS/CFT","ref_index":5,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/W43UQGNPH4MDL33MQYX7QF34AD","json":"https://pith.science/pith/W43UQGNPH4MDL33MQYX7QF34AD.json","graph_json":"https://pith.science/api/pith-number/W43UQGNPH4MDL33MQYX7QF34AD/graph.json","events_json":"https://pith.science/api/pith-number/W43UQGNPH4MDL33MQYX7QF34AD/events.json","paper":"https://pith.science/paper/W43UQGNP"},"agent_actions":{"view_html":"https://pith.science/pith/W43UQGNPH4MDL33MQYX7QF34AD","download_json":"https://pith.science/pith/W43UQGNPH4MDL33MQYX7QF34AD.json","view_paper":"https://pith.science/paper/W43UQGNP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0212208&json=true","fetch_graph":"https://pith.science/api/pith-number/W43UQGNPH4MDL33MQYX7QF34AD/graph.json","fetch_events":"https://pith.science/api/pith-number/W43UQGNPH4MDL33MQYX7QF34AD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W43UQGNPH4MDL33MQYX7QF34AD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W43UQGNPH4MDL33MQYX7QF34AD/action/storage_attestation","attest_author":"https://pith.science/pith/W43UQGNPH4MDL33MQYX7QF34AD/action/author_attestation","sign_citation":"https://pith.science/pith/W43UQGNPH4MDL33MQYX7QF34AD/action/citation_signature","submit_replication":"https://pith.science/pith/W43UQGNPH4MDL33MQYX7QF34AD/action/replication_record"}},"created_at":"2026-07-04T16:35:00.773627+00:00","updated_at":"2026-07-04T16:35:00.773627+00:00"}