{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:UTNWZPQ2IMMVYWSLMPKWUNWZZC","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":"e4a96dd39c619bf600eba1c86075146cedfc8cd5fb248a7a331ba254ed740587","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2002-02-21T16:19:16Z","title_canon_sha256":"2eb0b46484f72699a048619fe8cca4e14e8dbec987b5cc66bde9b1edde7a27bd"},"schema_version":"1.0","source":{"id":"hep-th/0202145","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0202145","created_at":"2026-07-04T15:49:55Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0202145v3","created_at":"2026-07-04T15:49:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0202145","created_at":"2026-07-04T15:49:55Z"},{"alias_kind":"pith_short_12","alias_value":"UTNWZPQ2IMMV","created_at":"2026-07-04T15:49:55Z"},{"alias_kind":"pith_short_16","alias_value":"UTNWZPQ2IMMVYWSL","created_at":"2026-07-04T15:49:55Z"},{"alias_kind":"pith_short_8","alias_value":"UTNWZPQ2","created_at":"2026-07-04T15:49:55Z"}],"graph_snapshots":[{"event_id":"sha256:82d4aa5574a730add19459c6d81c7cb7c6af584ebb20bd3d718579189cd6ab90","target":"graph","created_at":"2026-07-04T15:49:55Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/0202145/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Hamiltonian reduction of SU(2) Yang-Mills theory for an arbitrary \\theta angle to an unconstrained nonlocal theory of a self-interacting positive definite symmetric 3 \\times 3 matrix field S(x) is performed. It is shown that, after exact projection to a reduced phase space, the density of the Pontryagin index remains a pure divergence, proving the \\theta independence of the unconstrained theory obtained. An expansion of the nonlocal kinetic part of the Hamiltonian in powers of the inverse coupling constant and truncation to lowest order, however, lead to violation of the \\theta independenc","authors_text":"A.M. Khvedelidze, D.M. Mladenov, G. R\\\"opke, H.-P. Pavel","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2002-02-21T16:19:16Z","title":"Unconstrained SU(2) Yang-Mills Theory with Topological Term in the Long-Wavelength Approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0202145","kind":"arxiv","version":3},"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:a962e4468bb1e2de34425483dcb7f87f565db324958a077793515a8be87f0d94","target":"record","created_at":"2026-07-04T15:49:55Z","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":"e4a96dd39c619bf600eba1c86075146cedfc8cd5fb248a7a331ba254ed740587","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2002-02-21T16:19:16Z","title_canon_sha256":"2eb0b46484f72699a048619fe8cca4e14e8dbec987b5cc66bde9b1edde7a27bd"},"schema_version":"1.0","source":{"id":"hep-th/0202145","kind":"arxiv","version":3}},"canonical_sha256":"a4db6cbe1a43195c5a4b63d56a36d9c88b7daa764e9aff26123a70bd889b170f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4db6cbe1a43195c5a4b63d56a36d9c88b7daa764e9aff26123a70bd889b170f","first_computed_at":"2026-07-04T15:49:55.941516Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:49:55.941516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LGHsMyhEtHN55g75rEZ5el3uRaCA3WRMV6DwyNA8FQYzdmJ3SDZr08oecWQmlXqiKiBuPu3oTf7l5EEgC4pqCA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:49:55.941924Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0202145","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a962e4468bb1e2de34425483dcb7f87f565db324958a077793515a8be87f0d94","sha256:82d4aa5574a730add19459c6d81c7cb7c6af584ebb20bd3d718579189cd6ab90"],"state_sha256":"54b1d1b2dc29848fa1250f2a8be4695107560cd97895e1af709aa3faca9d7ccd"}