{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:O3DATWA4N3BOXXTDJ6IJFI3YL3","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":"c8b7e55ae5c7738b6d06bbe06cd5bf1b29c13c6e66ff7628d5124d9417e65731","cross_cats_sorted":["hep-th","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2021-06-17T19:52:15Z","title_canon_sha256":"ef1efd9822e50cc5f13458fad58e6aaf6b48f12a1bdc1d29d69b64a3aa9636be"},"schema_version":"1.0","source":{"id":"2106.09781","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.09781","created_at":"2026-07-05T03:14:35Z"},{"alias_kind":"arxiv_version","alias_value":"2106.09781v2","created_at":"2026-07-05T03:14:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.09781","created_at":"2026-07-05T03:14:35Z"},{"alias_kind":"pith_short_12","alias_value":"O3DATWA4N3BO","created_at":"2026-07-05T03:14:35Z"},{"alias_kind":"pith_short_16","alias_value":"O3DATWA4N3BOXXTD","created_at":"2026-07-05T03:14:35Z"},{"alias_kind":"pith_short_8","alias_value":"O3DATWA4","created_at":"2026-07-05T03:14:35Z"}],"graph_snapshots":[{"event_id":"sha256:d4994e453573807c6ff4640001f72a57f85126dea218ded7bfa4cb14d075c516","target":"graph","created_at":"2026-07-05T03:14:35Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2106.09781/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"I define an algebraic metric and closed 3-form on a subspace $\\mathcal{M}$ of the moduli of $G$-bundles on a complex projective curve $C$, and show that the resulting two-dimensional $\\sigma$-model with target $\\mathcal{M}$ has a zero-curvature formulation.","authors_text":"Richard Derryberry","cross_cats":["hep-th","math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2021-06-17T19:52:15Z","title":"Lax formulation for harmonic maps to a moduli of bundles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.09781","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":"sha256:5bcddd5347ea44a1d3d750ae4f569054f9f39aa1e583e92a9098682d0baa18e8","target":"record","created_at":"2026-07-05T03:14:35Z","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":"c8b7e55ae5c7738b6d06bbe06cd5bf1b29c13c6e66ff7628d5124d9417e65731","cross_cats_sorted":["hep-th","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2021-06-17T19:52:15Z","title_canon_sha256":"ef1efd9822e50cc5f13458fad58e6aaf6b48f12a1bdc1d29d69b64a3aa9636be"},"schema_version":"1.0","source":{"id":"2106.09781","kind":"arxiv","version":2}},"canonical_sha256":"76c609d81c6ec2ebde634f9092a3785ee7ea30d93fc5e831deff1690781ac748","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"76c609d81c6ec2ebde634f9092a3785ee7ea30d93fc5e831deff1690781ac748","first_computed_at":"2026-07-05T03:14:35.367336Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:14:35.367336Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tX58gmaN15jsmMaK2OihdWBMDWPe222l7aqcN/tODmVunjtk4aGGnRkYQftbNK77l2ZRFCt53yIscJNpSPOoDw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:14:35.367786Z","signed_message":"canonical_sha256_bytes"},"source_id":"2106.09781","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5bcddd5347ea44a1d3d750ae4f569054f9f39aa1e583e92a9098682d0baa18e8","sha256:d4994e453573807c6ff4640001f72a57f85126dea218ded7bfa4cb14d075c516"],"state_sha256":"2a964ff4e4433b6679c01c47a4e583363ee61a930e974e1a1ce4f2981641b296"}