{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:FICUSLSN44CXVYOI5J332F5LST","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":"801568aa13d4f5046291a5e63fb57a5ac6dba6623d4cc3ffa821afb05232dbcf","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"1999-09-23T14:06:48Z","title_canon_sha256":"a1086849ab59c11611d4f2b7139338d804a9ed87888657cf65f4297a9fc476ca"},"schema_version":"1.0","source":{"id":"hep-lat/9909149","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9909149","created_at":"2026-05-18T01:39:10Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9909149v1","created_at":"2026-05-18T01:39:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9909149","created_at":"2026-05-18T01:39:10Z"},{"alias_kind":"pith_short_12","alias_value":"FICUSLSN44CX","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"FICUSLSN44CXVYOI","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"FICUSLSN","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:1d5a3bdd885c1ba4264d1bc68b198e9e8a4622160d9af656447c741d7b2a4a1b","target":"graph","created_at":"2026-05-18T01:39:10Z","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":"In this paper we show the Wilson effective action for the 2-dimensional O(N+1)-symmetric lattice nonlinear sigma-model computed in the 1-loop approximation for the nonlinear choice of blockspin $\\Phi(x)$, $\\Phi(x)= \\Cav\\phi(x)/{|\\Cav\\phi(x)|}$,where $\\Cav$ is averaging of the fundamental field $\\phi(z)$ over a square $x$ of side $\\tilde a$.\n  The result for $S_{eff}$ is composed of the classical perfect action with a renormalized coupling constant $\\beta_{eff}$, an augmented contribution from a Jacobian, and further genuine 1-loop correction terms. Our result extends Polyakov's calculation whi","authors_text":"G. Mack, G. Palma, M. Bartels","cross_cats":[],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"1999-09-23T14:06:48Z","title":"1-Loop improved lattice action for the nonlinear sigma-model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9909149","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":"sha256:13805367b731a508049ece79c962d37a196abc67694d73bed6359b6cafe24a0a","target":"record","created_at":"2026-05-18T01:39:10Z","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":"801568aa13d4f5046291a5e63fb57a5ac6dba6623d4cc3ffa821afb05232dbcf","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"1999-09-23T14:06:48Z","title_canon_sha256":"a1086849ab59c11611d4f2b7139338d804a9ed87888657cf65f4297a9fc476ca"},"schema_version":"1.0","source":{"id":"hep-lat/9909149","kind":"arxiv","version":1}},"canonical_sha256":"2a05492e4de7057ae1c8ea77bd17ab94e15b86fe7f2b34f97a79acf589520146","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a05492e4de7057ae1c8ea77bd17ab94e15b86fe7f2b34f97a79acf589520146","first_computed_at":"2026-05-18T01:39:10.524383Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:10.524383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AA+QNRMWPaYmf+w0ZKX7a0CeYOhpvkXpzpB4NZYHTqDbYo2rfFRMh7Pz19k9xhz8cgyzOFISvDV+SVGaOqiLDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:10.524985Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/9909149","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:13805367b731a508049ece79c962d37a196abc67694d73bed6359b6cafe24a0a","sha256:1d5a3bdd885c1ba4264d1bc68b198e9e8a4622160d9af656447c741d7b2a4a1b"],"state_sha256":"25fdffb3b27ab47d008817f06640cbac0b3a547d94e50b681dfb480be3df433a"}