{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ESBOAF26PSUNZXVUYLSV7LAVYN","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":"8093333417595dde29b0f1d51e3515ba0458fae069da47b97a030ac53b952441","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-07-31T17:51:28Z","title_canon_sha256":"f92baf9565335ee79a75b17a4eee14a8560c53af7995cfdc40c164b0e9bbfb20"},"schema_version":"1.0","source":{"id":"2607.29667","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.29667","created_at":"2026-08-03T01:41:42Z"},{"alias_kind":"arxiv_version","alias_value":"2607.29667v1","created_at":"2026-08-03T01:41:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.29667","created_at":"2026-08-03T01:41:42Z"},{"alias_kind":"pith_short_12","alias_value":"ESBOAF26PSUN","created_at":"2026-08-03T01:41:42Z"},{"alias_kind":"pith_short_16","alias_value":"ESBOAF26PSUNZXVU","created_at":"2026-08-03T01:41:42Z"},{"alias_kind":"pith_short_8","alias_value":"ESBOAF26","created_at":"2026-08-03T01:41:42Z"}],"graph_snapshots":[{"event_id":"sha256:58a4e473bfbe5c574e665a5187475fc82e68dc8dfff8d72b0b9a069297e858f0","target":"graph","created_at":"2026-08-03T01:41:42Z","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/2607.29667/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $(A_i,\\Phi_i)$ be finite energy $\\mathrm{SU}(2)$ monopoles of charge $k>0$ on an asymptotically conical $3$-manifold with one end, with masses $m_i\\to\\infty$. After passing to a subsequence, the mass-renormalized energy measures concentrate at finitely many points $x_a$ with concentration weights $4\\pi K_a$, where $K_a$ is the total charge of the complete finite cluster of mass-one Euclidean monopoles lying over $x_a$. We prove that, on the complement $M$ of these points, the fields abelianize exponentially. After translating the Higgs fields by their masses along the unit Higgs directions","authors_text":"Daniel Fadel","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-07-31T17:51:28Z","title":"The large mass limit of monopoles: abelian limits and Dirac singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.29667","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:a2c7adea1b5187ce5a79f5991857d96fdfa6d69af0f9ccf37fa3de5c7831900b","target":"record","created_at":"2026-08-03T01:41:42Z","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":"8093333417595dde29b0f1d51e3515ba0458fae069da47b97a030ac53b952441","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-07-31T17:51:28Z","title_canon_sha256":"f92baf9565335ee79a75b17a4eee14a8560c53af7995cfdc40c164b0e9bbfb20"},"schema_version":"1.0","source":{"id":"2607.29667","kind":"arxiv","version":1}},"canonical_sha256":"2482e0175e7ca8dcdeb4c2e55fac15c37222f21376612447499662fc73e225c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2482e0175e7ca8dcdeb4c2e55fac15c37222f21376612447499662fc73e225c6","first_computed_at":"2026-08-03T01:41:42.703462Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-03T01:41:42.703462Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OwyOPvojRjXlRvwnPTAojenIo9VRN4QUEJTyWtIyiBaptI+ffUd1UnsRlyzTCfcPzSfPzqh+2X63GU7UaBdHAw==","signature_status":"signed_v1","signed_at":"2026-08-03T01:41:42.705118Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.29667","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a2c7adea1b5187ce5a79f5991857d96fdfa6d69af0f9ccf37fa3de5c7831900b","sha256:58a4e473bfbe5c574e665a5187475fc82e68dc8dfff8d72b0b9a069297e858f0"],"state_sha256":"11a64badd812dcfa61ef905ee49aa7e8d5eed52f788bd7f39980465335d9122a"}