{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:RD3IGSEEFAPX3CZHER7HQB26E2","short_pith_number":"pith:RD3IGSEE","canonical_record":{"source":{"id":"cond-mat/9703011","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1997-03-02T16:28:42Z","cross_cats_sorted":[],"title_canon_sha256":"16a32deec8c3cf5f777deec48b161e345dbccdae1a9a497f5aa3c110c0e43821","abstract_canon_sha256":"405eb5c0e7649a08dbc21dbf73d3fbd8d8df53283e0b1be064436b4808f7db97"},"schema_version":"1.0"},"canonical_sha256":"88f6834884281f7d8b27247e78075e2689fd27714499ffb8c3ecfa14b070434c","source":{"kind":"arxiv","id":"cond-mat/9703011","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:RD3IGSEEFAPX3CZHER7HQB26E2","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/9703011","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1997-03-02T16:28:42Z","cross_cats_sorted":[],"title_canon_sha256":"16a32deec8c3cf5f777deec48b161e345dbccdae1a9a497f5aa3c110c0e43821","abstract_canon_sha256":"405eb5c0e7649a08dbc21dbf73d3fbd8d8df53283e0b1be064436b4808f7db97"},"schema_version":"1.0"},"canonical_sha256":"88f6834884281f7d8b27247e78075e2689fd27714499ffb8c3ecfa14b070434c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:08.532837Z","signature_b64":"yd4RO3YdQFKq/WZYcbPVxMz651DYtARH/b7AX8OPrw9p4geiQvZn7grs3xPPGbXc9YaLEz+M/sL/CjoNG7zXBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88f6834884281f7d8b27247e78075e2689fd27714499ffb8c3ecfa14b070434c","last_reissued_at":"2026-05-18T01:07:08.532089Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:08.532089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/9703011","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:07:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kw+/pbDXSm+s9gYe4glrWn/hFaqx5LgeqzTc90l8eib/TdPrzbrzuij7Mxk+zXsGx5+Ak48I9BA+IZ/pfnu2Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T08:23:33.309667Z"},"content_sha256":"926556e926302b4a7ca02754ce7da8f3c7ae39de538e4adc046b35a86ec75325","schema_version":"1.0","event_id":"sha256:926556e926302b4a7ca02754ce7da8f3c7ae39de538e4adc046b35a86ec75325"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:RD3IGSEEFAPX3CZHER7HQB26E2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"1/N Expansion for Critical Exponents of Magnetic Phase Transitions in CP^{N-1} Model at 2<d<4","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"A. A. Katanin, M. I. Katsnelson, V. Yu. Irkhin","submitted_at":"1997-03-02T16:28:42Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9703011","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:07:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"twPhtdVt3pTBHXNqnRknTlA4K6WdsqAQKP4vVA21pNpVpRvTZpT3LEA6HNMPOYJ1gJv2rz3k3Fpw5VsfP6I2Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T08:23:33.310375Z"},"content_sha256":"01cf829991cf1fd27b120c72170f2d9af3ec730400a8083b789f770681011a93","schema_version":"1.0","event_id":"sha256:01cf829991cf1fd27b120c72170f2d9af3ec730400a8083b789f770681011a93"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RD3IGSEEFAPX3CZHER7HQB26E2/bundle.json","state_url":"https://pith.science/pith/RD3IGSEEFAPX3CZHER7HQB26E2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RD3IGSEEFAPX3CZHER7HQB26E2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-06T08:23:33Z","links":{"resolver":"https://pith.science/pith/RD3IGSEEFAPX3CZHER7HQB26E2","bundle":"https://pith.science/pith/RD3IGSEEFAPX3CZHER7HQB26E2/bundle.json","state":"https://pith.science/pith/RD3IGSEEFAPX3CZHER7HQB26E2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RD3IGSEEFAPX3CZHER7HQB26E2/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5dBahy6rDFSmbDwvLqmFZo0DOR8yHpeWrgXi8pVU7JUGfQs4+T3sBPti6K9NhpcJu7nYT9hiSXC9g0PedqSKAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T08:23:33.314387Z","bundle_sha256":"c3f566eff10848af835d1fdba89241996e9d445652f9f48ae84206a922bb5983"}}