{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:MYRYCII5KZES3FVRO4MCGURXEF","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":"2f7b6a059140ea279bb656d385f0ba308401cb171a8c5b032d679e71e8c06619","cross_cats_sorted":["hep-lat","hep-th"],"license":"","primary_cat":"cond-mat","submitted_at":"1997-05-09T12:15:55Z","title_canon_sha256":"0f8fbf4495be5002e367cf32076985cc89eca1e2dd125a864c51daf046b29120"},"schema_version":"1.0","source":{"id":"cond-mat/9705086","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9705086","created_at":"2026-05-18T04:35:35Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9705086v1","created_at":"2026-05-18T04:35:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9705086","created_at":"2026-05-18T04:35:35Z"},{"alias_kind":"pith_short_12","alias_value":"MYRYCII5KZES","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"MYRYCII5KZES3FVR","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"MYRYCII5","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:f1e6c8e36cbaa8b1b5eb24be9b8a5d1b109b2d41adeb165abf284c59fb72d2a0","target":"graph","created_at":"2026-05-18T04:35:35Z","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 three-dimensional O(N) models, we investigate the low-momentum behavior of the two-point Green's function G(x) in the critical region of the symmetric phase. We consider physical systems whose criticality is characterized by a rotational-invariant fixed point. Several approaches are exploited, such as strong-coupling expansion of lattice non-linear O(N) sigma models, 1/N-expansion, field-theoretical methods within the phi^4 continuum formulation. In non-rotational invariant physical systems with O(N)-invariant interactions, the vanishing of space-anisotropy approaching the rotational-invari","authors_text":"A. Pelissetto, E. Vicari (University of Pisa), M. Campostrini, P. Rossi","cross_cats":["hep-lat","hep-th"],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"1997-05-09T12:15:55Z","title":"The two-point correlation function of three-dimensional O(N) models: critical limit and anisotropy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9705086","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:eb8c4d390ae49e838e2bb0bb6d653fa58005a96cf0df71ae066a152fb2553453","target":"record","created_at":"2026-05-18T04:35:35Z","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":"2f7b6a059140ea279bb656d385f0ba308401cb171a8c5b032d679e71e8c06619","cross_cats_sorted":["hep-lat","hep-th"],"license":"","primary_cat":"cond-mat","submitted_at":"1997-05-09T12:15:55Z","title_canon_sha256":"0f8fbf4495be5002e367cf32076985cc89eca1e2dd125a864c51daf046b29120"},"schema_version":"1.0","source":{"id":"cond-mat/9705086","kind":"arxiv","version":1}},"canonical_sha256":"662381211d56492d96b1771823523721413889a346948646e0c527ee6ecab4d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"662381211d56492d96b1771823523721413889a346948646e0c527ee6ecab4d6","first_computed_at":"2026-05-18T04:35:35.591472Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:35.591472Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YKtYQqYfmiWi0mlayqeT+mFdHiGmVZsGjF88zeUySdOz8hjYhF2AFmJy4BKYVWo5zSfN86Yox3WMQC5tfu07CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:35.592042Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9705086","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb8c4d390ae49e838e2bb0bb6d653fa58005a96cf0df71ae066a152fb2553453","sha256:f1e6c8e36cbaa8b1b5eb24be9b8a5d1b109b2d41adeb165abf284c59fb72d2a0"],"state_sha256":"a065b5e1f17f9cc46855d4e19c63e98a32b4a6f5893ad96dd63fcdf489425736"}