{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:QUNVAJQQ2AGTANMZKUTDAWJUMV","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":"34c3a001cbd91020bb9a6ccacd0cb9243e99642ae2dbbc7e95996a27046624fa","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-16T11:55:00Z","title_canon_sha256":"8e1333c70de92ea6f438d2091d9716b50dc0d035ca7c53158b84523f4e44928f"},"schema_version":"1.0","source":{"id":"1512.06784","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.06784","created_at":"2026-05-18T01:23:59Z"},{"alias_kind":"arxiv_version","alias_value":"1512.06784v1","created_at":"2026-05-18T01:23:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.06784","created_at":"2026-05-18T01:23:59Z"},{"alias_kind":"pith_short_12","alias_value":"QUNVAJQQ2AGT","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"QUNVAJQQ2AGTANMZ","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"QUNVAJQQ","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:dd97b62519b5facb5f53671c65cf2ea9142b5eb1829273c20713d8baf6559f4a","target":"graph","created_at":"2026-05-18T01:23:59Z","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":"The motivations of the 1/N expansion method in quantum field theory are explained. The method is first illustrated with the O(N) model of scalar fields. A second example is considered with the two-dimensional Gross-Neveu model of fermion fields with global U(N) and discrete chiral symmetries. The case of QCD is briefly sketched.","authors_text":"H. Sazdjian","cross_cats":["nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-16T11:55:00Z","title":"The 1/N expansion method in quantum field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.06784","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":"sha256:476eb08b0b2803e4f56c0536597bd2f08bec371d4904e00682003784290b31e8","target":"record","created_at":"2026-05-18T01:23:59Z","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":"34c3a001cbd91020bb9a6ccacd0cb9243e99642ae2dbbc7e95996a27046624fa","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-16T11:55:00Z","title_canon_sha256":"8e1333c70de92ea6f438d2091d9716b50dc0d035ca7c53158b84523f4e44928f"},"schema_version":"1.0","source":{"id":"1512.06784","kind":"arxiv","version":1}},"canonical_sha256":"851b502610d00d30359955263059346570604f9e7ee5fe421c388798b5ff0bf5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"851b502610d00d30359955263059346570604f9e7ee5fe421c388798b5ff0bf5","first_computed_at":"2026-05-18T01:23:59.634006Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:59.634006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5jXyf1O/QcRG+il9qr4ijPIFZD8AppdC/WRNu5VHashZoVFX05da+q1rSj7Y6+JPjHxXc4bBwO+bPHzbOITPCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:59.634516Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.06784","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:476eb08b0b2803e4f56c0536597bd2f08bec371d4904e00682003784290b31e8","sha256:dd97b62519b5facb5f53671c65cf2ea9142b5eb1829273c20713d8baf6559f4a"],"state_sha256":"1e49585e0eb83164f5b3f01cb51a4e9d54aeb24e355dc08a7ef2c11751d7c062"}