{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:E6BDVXLY3U6E6MO7JF5TJZFNRL","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":"f803c81149373c5fca6e5aa7c342448e5574fce71d6f44c866fe495e48040bb7","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2002-07-19T11:41:38Z","title_canon_sha256":"1eec1d6cd66947208a08231db3266113d39983b8f4dd6ecd9cd7156db2db9c50"},"schema_version":"1.0","source":{"id":"hep-th/0207180","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0207180","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0207180v1","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0207180","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"pith_short_12","alias_value":"E6BDVXLY3U6E","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"E6BDVXLY3U6E6MO7","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"E6BDVXLY","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:0b2f417d604d2813e39abf1263d6b92e22213392e5f62038935ce1037facd774","target":"graph","created_at":"2026-05-18T01:38:49Z","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 construct U(2) noncommutative multi-instanton solutions by extending Witten's ansatz [1] which reduces the problem of cylindrical symmetry in four dimensions to that of a set of Bogomol'nyi equations for an Abelian Higgsmodel in two dimensional curved space. Using the Fock space approach, we give explicit vortex solutions to the Bogomol'nyi equations and, from them, we present multi-instanton solutions.","authors_text":"D.H. Correa, E.F. Moreno, F.A. Schaposnik","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2002-07-19T11:41:38Z","title":"Some Noncommutative Multi-instantons from Vortices in Curved Space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0207180","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":"sha256:418d22032e4f11707428c9ee0b5d381cbabaa79978b3a9b721ee74a12da4d1f7","target":"record","created_at":"2026-05-18T01:38:49Z","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":"f803c81149373c5fca6e5aa7c342448e5574fce71d6f44c866fe495e48040bb7","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2002-07-19T11:41:38Z","title_canon_sha256":"1eec1d6cd66947208a08231db3266113d39983b8f4dd6ecd9cd7156db2db9c50"},"schema_version":"1.0","source":{"id":"hep-th/0207180","kind":"arxiv","version":1}},"canonical_sha256":"27823add78dd3c4f31df497b34e4ad8ac15eeb39ce20ab222dd647db8fc48d0a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27823add78dd3c4f31df497b34e4ad8ac15eeb39ce20ab222dd647db8fc48d0a","first_computed_at":"2026-05-18T01:38:49.333457Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:49.333457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HJiyEyGo1DreNeYhSYp+9oB8YUjfta/KTs+CiDa7Uw4aeN/tDf9kDoecyPbwRR8XguQVA3r6a+UEi+eEy/1ACw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:49.334077Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0207180","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:418d22032e4f11707428c9ee0b5d381cbabaa79978b3a9b721ee74a12da4d1f7","sha256:0b2f417d604d2813e39abf1263d6b92e22213392e5f62038935ce1037facd774"],"state_sha256":"5216c1f87c8bda656482efeb1566d32cb40540492c10320f673f3d48234730d4"}