{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:RD3IGSEEFAPX3CZHER7HQB26E2","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":"405eb5c0e7649a08dbc21dbf73d3fbd8d8df53283e0b1be064436b4808f7db97","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1997-03-02T16:28:42Z","title_canon_sha256":"16a32deec8c3cf5f777deec48b161e345dbccdae1a9a497f5aa3c110c0e43821"},"schema_version":"1.0","source":{"id":"cond-mat/9703011","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9703011","created_at":"2026-05-18T01:07:08Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9703011v1","created_at":"2026-05-18T01:07:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9703011","created_at":"2026-05-18T01:07:08Z"},{"alias_kind":"pith_short_12","alias_value":"RD3IGSEEFAPX","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"RD3IGSEEFAPX3CZH","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"RD3IGSEE","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:01cf829991cf1fd27b120c72170f2d9af3ec730400a8083b789f770681011a93","target":"graph","created_at":"2026-05-18T01:07:08Z","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"},"paper":{"abstract_excerpt":"Critical exponents in the CP^{N-1} model, which describes localized-moment ferro- and antiferromagnets (N=2 in the Heisenberg model), are calculated from two-particle Green's functions to first order in 1/N. For d=2+\\epsilon the results agree with earlier renormalization group calculations. For d=3 the leading 1/N-corrections turn out to be very large at N=2. For d=4-\\epsilon the 1/N-corrections are small at any N and insufficient to describe correctly the magnetic phase transition.","authors_text":"A. A. Katanin, M. I. Katsnelson, V. Yu. Irkhin","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"1997-03-02T16:28:42Z","title":"1/N Expansion for Critical Exponents of Magnetic Phase Transitions in CP^{N-1} Model at 2<d<4"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9703011","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":"sha256:926556e926302b4a7ca02754ce7da8f3c7ae39de538e4adc046b35a86ec75325","target":"record","created_at":"2026-05-18T01:07:08Z","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":"405eb5c0e7649a08dbc21dbf73d3fbd8d8df53283e0b1be064436b4808f7db97","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1997-03-02T16:28:42Z","title_canon_sha256":"16a32deec8c3cf5f777deec48b161e345dbccdae1a9a497f5aa3c110c0e43821"},"schema_version":"1.0","source":{"id":"cond-mat/9703011","kind":"arxiv","version":1}},"canonical_sha256":"88f6834884281f7d8b27247e78075e2689fd27714499ffb8c3ecfa14b070434c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88f6834884281f7d8b27247e78075e2689fd27714499ffb8c3ecfa14b070434c","first_computed_at":"2026-05-18T01:07:08.532089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:08.532089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yd4RO3YdQFKq/WZYcbPVxMz651DYtARH/b7AX8OPrw9p4geiQvZn7grs3xPPGbXc9YaLEz+M/sL/CjoNG7zXBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:08.532837Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9703011","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:926556e926302b4a7ca02754ce7da8f3c7ae39de538e4adc046b35a86ec75325","sha256:01cf829991cf1fd27b120c72170f2d9af3ec730400a8083b789f770681011a93"],"state_sha256":"8e8ac3e8cdf7fffc4daf19f75a05fd0c010c8a535983a0ef0e3e195da6e94378"}