{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1997:IEIYX6Z4FHE74MDMRF4OJ3KT5F","short_pith_number":"pith:IEIYX6Z4","schema_version":"1.0","canonical_sha256":"41118bfb3c29c9fe306c8978e4ed53e96d5c1b1e3ac70fc0f9fce2c91afe73d3","source":{"kind":"arxiv","id":"hep-th/9712025","version":4},"attestation_state":"computed","paper":{"title":"RG Flow Irreversibility, C-Theorem and Topological Nature of 4D N=2 SYM","license":"","headline":"","cross_cats":["cond-mat","gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"G. Bonelli, M. Matone","submitted_at":"1997-12-02T19:35:25Z","abstract_excerpt":"We determine the exact beta function and a RG flow Lyapunov function for N=2 SYM with gauge group SU(n). It turns out that the classical discriminants of the Seiberg-Witten curves determine the RG potential. The radial irreversibility of the RG flow in the SU(2) case and the non-perturbative identity relating the $u$-modulus and the superconformal anomaly, indicate the existence of a four dimensional analogue of the c-theorem for N=2 SYM which we formulate for the full SU(n) theory. Our investigation provides further evidence of the essentially topological nature of the theory."},"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/9712025","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1997-12-02T19:35:25Z","cross_cats_sorted":["cond-mat","gr-qc","hep-ph"],"title_canon_sha256":"a0fd6648d75b27009f659a7de5c309b084c07a8020e0bb0799f646283d8495a4","abstract_canon_sha256":"0f8d1ffbe597ade2c4f052f15feaa7e288e9a4e00da540a47a3d8652a9dc8e0d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:55.621866Z","signature_b64":"rDpJ/J8hHu4VDym8v/fZxay4c0dMruw+sRqCiobFzbucOjyTTCC7NPhq1P69P7nfJPIGYXqsvTlPE/PqS4ZsCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"41118bfb3c29c9fe306c8978e4ed53e96d5c1b1e3ac70fc0f9fce2c91afe73d3","last_reissued_at":"2026-05-18T01:05:55.621299Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:55.621299Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"RG Flow Irreversibility, C-Theorem and Topological Nature of 4D N=2 SYM","license":"","headline":"","cross_cats":["cond-mat","gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"G. Bonelli, M. Matone","submitted_at":"1997-12-02T19:35:25Z","abstract_excerpt":"We determine the exact beta function and a RG flow Lyapunov function for N=2 SYM with gauge group SU(n). It turns out that the classical discriminants of the Seiberg-Witten curves determine the RG potential. The radial irreversibility of the RG flow in the SU(2) case and the non-perturbative identity relating the $u$-modulus and the superconformal anomaly, indicate the existence of a four dimensional analogue of the c-theorem for N=2 SYM which we formulate for the full SU(n) theory. Our investigation provides further evidence of the essentially topological nature of the theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9712025","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/9712025","created_at":"2026-05-18T01:05:55.621394+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9712025v4","created_at":"2026-05-18T01:05:55.621394+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9712025","created_at":"2026-05-18T01:05:55.621394+00:00"},{"alias_kind":"pith_short_12","alias_value":"IEIYX6Z4FHE7","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_16","alias_value":"IEIYX6Z4FHE74MDM","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_8","alias_value":"IEIYX6Z4","created_at":"2026-05-18T12:25:48.327863+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/IEIYX6Z4FHE74MDMRF4OJ3KT5F","json":"https://pith.science/pith/IEIYX6Z4FHE74MDMRF4OJ3KT5F.json","graph_json":"https://pith.science/api/pith-number/IEIYX6Z4FHE74MDMRF4OJ3KT5F/graph.json","events_json":"https://pith.science/api/pith-number/IEIYX6Z4FHE74MDMRF4OJ3KT5F/events.json","paper":"https://pith.science/paper/IEIYX6Z4"},"agent_actions":{"view_html":"https://pith.science/pith/IEIYX6Z4FHE74MDMRF4OJ3KT5F","download_json":"https://pith.science/pith/IEIYX6Z4FHE74MDMRF4OJ3KT5F.json","view_paper":"https://pith.science/paper/IEIYX6Z4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9712025&json=true","fetch_graph":"https://pith.science/api/pith-number/IEIYX6Z4FHE74MDMRF4OJ3KT5F/graph.json","fetch_events":"https://pith.science/api/pith-number/IEIYX6Z4FHE74MDMRF4OJ3KT5F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IEIYX6Z4FHE74MDMRF4OJ3KT5F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IEIYX6Z4FHE74MDMRF4OJ3KT5F/action/storage_attestation","attest_author":"https://pith.science/pith/IEIYX6Z4FHE74MDMRF4OJ3KT5F/action/author_attestation","sign_citation":"https://pith.science/pith/IEIYX6Z4FHE74MDMRF4OJ3KT5F/action/citation_signature","submit_replication":"https://pith.science/pith/IEIYX6Z4FHE74MDMRF4OJ3KT5F/action/replication_record"}},"created_at":"2026-05-18T01:05:55.621394+00:00","updated_at":"2026-05-18T01:05:55.621394+00:00"}