{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:QYRGRF4TQPSE7QKMTMVL64P5UN","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":"a96b9442387f6403f2534d68e7edd43003f7daa9d51ca9a60be502947ec0c47a","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2012-08-24T14:13:30Z","title_canon_sha256":"1f9a122f9d6dbe27b6946634bddd25d6853384f98937aabfda9db41184cf9e75"},"schema_version":"1.0","source":{"id":"1208.4986","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.4986","created_at":"2026-05-18T03:47:52Z"},{"alias_kind":"arxiv_version","alias_value":"1208.4986v1","created_at":"2026-05-18T03:47:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4986","created_at":"2026-05-18T03:47:52Z"},{"alias_kind":"pith_short_12","alias_value":"QYRGRF4TQPSE","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"QYRGRF4TQPSE7QKM","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"QYRGRF4T","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:375a8fa1c875efbed677d546a69063a319de5b55a171984b80d0522ddf233298","target":"graph","created_at":"2026-05-18T03:47:52Z","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 aim of this paper is to contribute to a better conceptual understanding of gauge quantum field theories, such as quantum chromodynamics, by discussing a famous physical limit, the 't Hooft limit, in which the theory concerned often simplifies.\n  The idea of the limit is that the number $N$ of colours (or charges) goes to infinity. The simplifications that can happen in this limit, and that we will consider, are: (i) the theory's Feynman diagrams can be drawn on a plane without lines intersecting (called `planarity'); and (ii) the theory, or a sector of it, becomes integrable, and indeed co","authors_text":"Jeremy Butterfield, Nazim Bouatta","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2012-08-24T14:13:30Z","title":"On emergence in gauge theories at the 't Hooft limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4986","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":"sha256:25efcf8c75f0db9904e98ff5e074de8bcd736417b8c085ebe71abdb497a3774a","target":"record","created_at":"2026-05-18T03:47:52Z","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":"a96b9442387f6403f2534d68e7edd43003f7daa9d51ca9a60be502947ec0c47a","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2012-08-24T14:13:30Z","title_canon_sha256":"1f9a122f9d6dbe27b6946634bddd25d6853384f98937aabfda9db41184cf9e75"},"schema_version":"1.0","source":{"id":"1208.4986","kind":"arxiv","version":1}},"canonical_sha256":"862268979383e44fc14c9b2abf71fda3792d10febef9292e929ce9e46107fc68","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"862268979383e44fc14c9b2abf71fda3792d10febef9292e929ce9e46107fc68","first_computed_at":"2026-05-18T03:47:52.104630Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:47:52.104630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2YdMFJADBIqqoWnEUMnt4QDEUw+Uk4zs+cG5BXiUhJhQxs6AGhuY2Ya/0lj8s4OAyajAp9J+k9c3ici1aIZYAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:47:52.105206Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.4986","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25efcf8c75f0db9904e98ff5e074de8bcd736417b8c085ebe71abdb497a3774a","sha256:375a8fa1c875efbed677d546a69063a319de5b55a171984b80d0522ddf233298"],"state_sha256":"c8ee508ca9c14dfcdd467a854930820c20f32c82ff578b7ac0f4d30b6eeedd06"}