{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:XHOVVMB4BRW3R6YXC6EK7XCGQ7","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":"d572cd60c1db8961385c73c74a6ad2889a13e1b71b2c9333338c2065d054acdc","cross_cats_sorted":["gr-qc","hep-lat","math-ph","math.MP","math.QA"],"license":"","primary_cat":"hep-th","submitted_at":"1998-11-18T13:36:58Z","title_canon_sha256":"d7949c8692599099124dae761d89c167d817c0480383da05724cf460c1713e75"},"schema_version":"1.0","source":{"id":"hep-th/9811169","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9811169","created_at":"2026-07-04T16:10:04Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9811169v6","created_at":"2026-07-04T16:10:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9811169","created_at":"2026-07-04T16:10:04Z"},{"alias_kind":"pith_short_12","alias_value":"XHOVVMB4BRW3","created_at":"2026-07-04T16:10:04Z"},{"alias_kind":"pith_short_16","alias_value":"XHOVVMB4BRW3R6YX","created_at":"2026-07-04T16:10:04Z"},{"alias_kind":"pith_short_8","alias_value":"XHOVVMB4","created_at":"2026-07-04T16:10:04Z"}],"graph_snapshots":[{"event_id":"sha256:742b694e647c5e732beb7bdc51f79df3573de8393094106344711a49623691a3","target":"graph","created_at":"2026-07-04T16:10:04Z","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/9811169/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Monopoles and solitons have important topological aspects like quantized fluxes, winding numbers and curved target spaces. Naive discretizations which substitute a lattice of points for the underlying manifolds are incapable of retaining these features in a precise way. We study these problems of discrete physics and matrix models and discuss mathematically coherent discretizations of monopoles and solitons using fuzzy physics and noncommutative geometry. A fuzzy sigma-model action for the two-sphere fulfilling a fuzzy Belavin-Polyakov bound is also put forth.","authors_text":"A. P. Balachandran, B. Ydri, S. Baez, S. Vaidya","cross_cats":["gr-qc","hep-lat","math-ph","math.MP","math.QA"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1998-11-18T13:36:58Z","title":"Monopoles and Solitons in Fuzzy Physics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9811169","kind":"arxiv","version":6},"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":"sha256:2cfdf061f9ff38e8c0cfbc2cac4ca93554537f876f0afbc0ec7cc9d66378c29e","target":"record","created_at":"2026-07-04T16:10:04Z","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":"d572cd60c1db8961385c73c74a6ad2889a13e1b71b2c9333338c2065d054acdc","cross_cats_sorted":["gr-qc","hep-lat","math-ph","math.MP","math.QA"],"license":"","primary_cat":"hep-th","submitted_at":"1998-11-18T13:36:58Z","title_canon_sha256":"d7949c8692599099124dae761d89c167d817c0480383da05724cf460c1713e75"},"schema_version":"1.0","source":{"id":"hep-th/9811169","kind":"arxiv","version":6}},"canonical_sha256":"b9dd5ab03c0c6db8fb171788afdc4687fde665f21a986264009e9383381a9d48","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b9dd5ab03c0c6db8fb171788afdc4687fde665f21a986264009e9383381a9d48","first_computed_at":"2026-07-04T16:10:04.529261Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:10:04.529261Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HDPSvjRgejYW2BFivTd46q5CkdR+/STSDGx+qpA/ofRsSWngcM4B3MvMBGNmQeE+AwxFq6kcG0p4ryCMnAzrAw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:10:04.529670Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9811169","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2cfdf061f9ff38e8c0cfbc2cac4ca93554537f876f0afbc0ec7cc9d66378c29e","sha256:742b694e647c5e732beb7bdc51f79df3573de8393094106344711a49623691a3"],"state_sha256":"921589d809cce56dad4901ff76967a0a76feda3ecbbf540ab50b5e8c304969ff"}