{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:KVSPG7F5MT2WIQZVKPH7PJF4G7","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":"bfb5fb204e19d5d0a75300c24b261827ae70d591d6d01bcf8407e09b7e2d5cf6","cross_cats_sorted":["alg-geom","hep-th","math.AG","math.DG"],"license":"","primary_cat":"dg-ga","submitted_at":"1997-10-29T16:51:39Z","title_canon_sha256":"d57b6b7e10758c439c0fc757dce1a1808c5afbbfcc98403aed36df2f9fea0aa2"},"schema_version":"1.0","source":{"id":"dg-ga/9710032","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"dg-ga/9710032","created_at":"2026-05-18T01:06:48Z"},{"alias_kind":"arxiv_version","alias_value":"dg-ga/9710032v1","created_at":"2026-05-18T01:06:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.dg-ga/9710032","created_at":"2026-05-18T01:06:48Z"},{"alias_kind":"pith_short_12","alias_value":"KVSPG7F5MT2W","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"KVSPG7F5MT2WIQZV","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"KVSPG7F5","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:92db6bd26f8db644487c06f60a274823a9a1326a97a0ee771b7e1af09f69e6f8","target":"graph","created_at":"2026-05-18T01:06:48Z","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":"We prove the existence of perturbations for the PU(2) monopole equations, yielding transversality on the complement of the anti-self-dual or reducible solutions, and the existence of an Uhlenbeck compactification for the moduli space of solutions to these perturbed PU(2) monopole equations. In December 1994, V. Pidstrigach and A. Tyurin and then others proposed a method to prove Witten's conjecture concerning the relation between the Donaldson and Seiberg-Witten invariants of smooth four-manifolds. Their proposal uses a moduli space of solutions to the PU(2) monopole equations, which are a nat","authors_text":"Paul M. N. Feehan, Thomas G. Leness","cross_cats":["alg-geom","hep-th","math.AG","math.DG"],"headline":"","license":"","primary_cat":"dg-ga","submitted_at":"1997-10-29T16:51:39Z","title":"PU(2) Monopoles, I: Regularity, Uhlenbeck Compactness, and Transversality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"dg-ga/9710032","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:dece1e1036a845111ad9131b1215c7036240d1dbd8066b7f794e6ec95ac0c127","target":"record","created_at":"2026-05-18T01:06:48Z","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":"bfb5fb204e19d5d0a75300c24b261827ae70d591d6d01bcf8407e09b7e2d5cf6","cross_cats_sorted":["alg-geom","hep-th","math.AG","math.DG"],"license":"","primary_cat":"dg-ga","submitted_at":"1997-10-29T16:51:39Z","title_canon_sha256":"d57b6b7e10758c439c0fc757dce1a1808c5afbbfcc98403aed36df2f9fea0aa2"},"schema_version":"1.0","source":{"id":"dg-ga/9710032","kind":"arxiv","version":1}},"canonical_sha256":"5564f37cbd64f564433553cff7a4bc37cceeba9fd3c1e35a86ee4f80a6de2e1d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5564f37cbd64f564433553cff7a4bc37cceeba9fd3c1e35a86ee4f80a6de2e1d","first_computed_at":"2026-05-18T01:06:48.504422Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:48.504422Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lQET0TlrzpjJfChOEawPE4FbSemUd5+Aga9KtiaxGbLT1xwYmhkAH5z0AfO9MJkwx+gW9/4jYwsbu8FlzT6fDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:48.505081Z","signed_message":"canonical_sha256_bytes"},"source_id":"dg-ga/9710032","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dece1e1036a845111ad9131b1215c7036240d1dbd8066b7f794e6ec95ac0c127","sha256:92db6bd26f8db644487c06f60a274823a9a1326a97a0ee771b7e1af09f69e6f8"],"state_sha256":"f910e5b5a0c052aaa871dca0fd66727fb36363afbe14e1c5fb263ea86ac6973c"}