{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:R4C5OTNL3IMXLGNE3HNIBUJNID","short_pith_number":"pith:R4C5OTNL","canonical_record":{"source":{"id":"hep-th/0407232","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-07-27T13:35:05Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"72309a03d9979baefa10fcb86b42edd21cb8d974fcd5a6b7bb1760dfe7fc6f81","abstract_canon_sha256":"3c70145b4979f34edd0f83602a20a6425c2a3ff47298f5d574ca9026d776903f"},"schema_version":"1.0"},"canonical_sha256":"8f05d74dabda197599a4d9da80d12d40f0ba4dfd7ce13dbbf6d239b73ed3d881","source":{"kind":"arxiv","id":"hep-th/0407232","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0407232","created_at":"2026-05-18T04:22:51Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0407232v2","created_at":"2026-05-18T04:22:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0407232","created_at":"2026-05-18T04:22:51Z"},{"alias_kind":"pith_short_12","alias_value":"R4C5OTNL3IMX","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"R4C5OTNL3IMXLGNE","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"R4C5OTNL","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:R4C5OTNL3IMXLGNE3HNIBUJNID","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0407232","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-07-27T13:35:05Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"72309a03d9979baefa10fcb86b42edd21cb8d974fcd5a6b7bb1760dfe7fc6f81","abstract_canon_sha256":"3c70145b4979f34edd0f83602a20a6425c2a3ff47298f5d574ca9026d776903f"},"schema_version":"1.0"},"canonical_sha256":"8f05d74dabda197599a4d9da80d12d40f0ba4dfd7ce13dbbf6d239b73ed3d881","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:22:51.475464Z","signature_b64":"m0WMbNQG6DOEyG1TK5f+4L84UzQD1/xxRKtRbLysEPtsY6WAMyebuYY7+bk2UiQpGIQ9SR4LtcT+bF2HlN+AAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f05d74dabda197599a4d9da80d12d40f0ba4dfd7ce13dbbf6d239b73ed3d881","last_reissued_at":"2026-05-18T04:22:51.474961Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:22:51.474961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0407232","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:22:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"68lGU9UO8lxOuES6p5oe6n7l264PNaaK+joI9eM9+nkft9xZwJQwf/52YBD9c45yWk2uwEG1rdATcQtariCeDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:28:29.624134Z"},"content_sha256":"f6c7c49991d44ddbc48fc69e87ee464e0ff0e5f809605cbe169144b021e1e72a","schema_version":"1.0","event_id":"sha256:f6c7c49991d44ddbc48fc69e87ee464e0ff0e5f809605cbe169144b021e1e72a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:R4C5OTNL3IMXLGNE3HNIBUJNID","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Integrability in QCD and beyond","license":"","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"A.S. Gorsky, A.V. Belitsky, G.P. Korchemsky, V.M. Braun","submitted_at":"2004-07-27T13:35:05Z","abstract_excerpt":"Yang--Mills theories in four space-time dimensions possess a hidden symmetry which does not exhibit itself as a symmetry of classical Lagrangians but is only revealed on the quantum level. It turns out that the effective Yang--Mills dynamics in several important limits is described by completely integrable systems that prove to be related to the celebrated Heisenberg spin chain and its generalizations. In this review we explain the general phenomenon of complete integrability and its realization in several different situations. As a prime example, we consider in some detail the scale dependenc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0407232","kind":"arxiv","version":2},"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":"2026-05-18T04:22:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9e6gOHc6Vbhqw5y3nYkPdwFTWtmz41h1QDO+dty/OILRf/4LDX/nLdN8NJikdxyNQHFUiaC22yOs1zXHJ884Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:28:29.624811Z"},"content_sha256":"0f257c2c0c95f0fb6a59e4fdd33a15c846a97f40e02d6533bd9d78e6a32798c2","schema_version":"1.0","event_id":"sha256:0f257c2c0c95f0fb6a59e4fdd33a15c846a97f40e02d6533bd9d78e6a32798c2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R4C5OTNL3IMXLGNE3HNIBUJNID/bundle.json","state_url":"https://pith.science/pith/R4C5OTNL3IMXLGNE3HNIBUJNID/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R4C5OTNL3IMXLGNE3HNIBUJNID/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":"2026-05-28T18:28:29Z","links":{"resolver":"https://pith.science/pith/R4C5OTNL3IMXLGNE3HNIBUJNID","bundle":"https://pith.science/pith/R4C5OTNL3IMXLGNE3HNIBUJNID/bundle.json","state":"https://pith.science/pith/R4C5OTNL3IMXLGNE3HNIBUJNID/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R4C5OTNL3IMXLGNE3HNIBUJNID/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:R4C5OTNL3IMXLGNE3HNIBUJNID","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":"3c70145b4979f34edd0f83602a20a6425c2a3ff47298f5d574ca9026d776903f","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2004-07-27T13:35:05Z","title_canon_sha256":"72309a03d9979baefa10fcb86b42edd21cb8d974fcd5a6b7bb1760dfe7fc6f81"},"schema_version":"1.0","source":{"id":"hep-th/0407232","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0407232","created_at":"2026-05-18T04:22:51Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0407232v2","created_at":"2026-05-18T04:22:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0407232","created_at":"2026-05-18T04:22:51Z"},{"alias_kind":"pith_short_12","alias_value":"R4C5OTNL3IMX","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"R4C5OTNL3IMXLGNE","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"R4C5OTNL","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:0f257c2c0c95f0fb6a59e4fdd33a15c846a97f40e02d6533bd9d78e6a32798c2","target":"graph","created_at":"2026-05-18T04:22:51Z","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":"Yang--Mills theories in four space-time dimensions possess a hidden symmetry which does not exhibit itself as a symmetry of classical Lagrangians but is only revealed on the quantum level. It turns out that the effective Yang--Mills dynamics in several important limits is described by completely integrable systems that prove to be related to the celebrated Heisenberg spin chain and its generalizations. In this review we explain the general phenomenon of complete integrability and its realization in several different situations. As a prime example, we consider in some detail the scale dependenc","authors_text":"A.S. Gorsky, A.V. Belitsky, G.P. Korchemsky, V.M. Braun","cross_cats":["hep-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2004-07-27T13:35:05Z","title":"Integrability in QCD and beyond"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0407232","kind":"arxiv","version":2},"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:f6c7c49991d44ddbc48fc69e87ee464e0ff0e5f809605cbe169144b021e1e72a","target":"record","created_at":"2026-05-18T04:22:51Z","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":"3c70145b4979f34edd0f83602a20a6425c2a3ff47298f5d574ca9026d776903f","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2004-07-27T13:35:05Z","title_canon_sha256":"72309a03d9979baefa10fcb86b42edd21cb8d974fcd5a6b7bb1760dfe7fc6f81"},"schema_version":"1.0","source":{"id":"hep-th/0407232","kind":"arxiv","version":2}},"canonical_sha256":"8f05d74dabda197599a4d9da80d12d40f0ba4dfd7ce13dbbf6d239b73ed3d881","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f05d74dabda197599a4d9da80d12d40f0ba4dfd7ce13dbbf6d239b73ed3d881","first_computed_at":"2026-05-18T04:22:51.474961Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:22:51.474961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m0WMbNQG6DOEyG1TK5f+4L84UzQD1/xxRKtRbLysEPtsY6WAMyebuYY7+bk2UiQpGIQ9SR4LtcT+bF2HlN+AAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:22:51.475464Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0407232","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f6c7c49991d44ddbc48fc69e87ee464e0ff0e5f809605cbe169144b021e1e72a","sha256:0f257c2c0c95f0fb6a59e4fdd33a15c846a97f40e02d6533bd9d78e6a32798c2"],"state_sha256":"9aac01e4c40e3542ab6999248e85f8611f097a56ca2be69ad5b5fb9ee0454e92"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NjFOtSxKpWNCGjJjv+AfZkUEUTSRtFgT+/FV9EX5u23lNmcBcejv+hgD8PdSyb71baAkkxA5jqE7aqvN6h3mBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T18:28:29.627768Z","bundle_sha256":"5f109a1d51fc3bea3ce9c4b58b2fb0516715f72031a74ce8a8f0b200ef0ecd24"}}