{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:GGAE7ZJUXBV6PPIEAOTNCBO6GU","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":"e26b39a204fb07a45e935e26385c80a65454540314d94d778ba26d65056d6fa3","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-08-14T07:59:02Z","title_canon_sha256":"8186949691559559ac2e97e5c792e4bfb55dc872569c18bab7711939035a7d50"},"schema_version":"1.0","source":{"id":"hep-th/0008110","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0008110","created_at":"2026-07-04T14:31:23Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0008110v2","created_at":"2026-07-04T14:31:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0008110","created_at":"2026-07-04T14:31:23Z"},{"alias_kind":"pith_short_12","alias_value":"GGAE7ZJUXBV6","created_at":"2026-07-04T14:31:23Z"},{"alias_kind":"pith_short_16","alias_value":"GGAE7ZJUXBV6PPIE","created_at":"2026-07-04T14:31:23Z"},{"alias_kind":"pith_short_8","alias_value":"GGAE7ZJU","created_at":"2026-07-04T14:31:23Z"}],"graph_snapshots":[{"event_id":"sha256:ecaab2b1446bf4a933d64d87468ad97fd03d6979e41a3b93e68c0e98554fbdf4","target":"graph","created_at":"2026-07-04T14:31:23Z","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/0008110/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss an ansatz for Skyrme fields in three dimensions which uses rational maps between Riemann spheres, and produces shell-like structures of polyhedral form. Houghton, Manton and Sutcliffe showed that a single rational map gives good approximations to the minimal energy Skyrmions up to baryon number of order ten. We show how the method can be generalised by using two or more rational maps to give a double-shell or multi-shell structure. Particularly interesting examples occur at baryon numbers twelve and fourteen.","authors_text":"B.M.A.G. Piette, N.S. Manton","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2000-08-14T07:59:02Z","title":"Understanding Skyrmions using Rational Maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0008110","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":"sha256:0963d89e1324e4f69b7febc9047915d9ba7ee21590a7c3cd0d8b2f7f1353c780","target":"record","created_at":"2026-07-04T14:31:23Z","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":"e26b39a204fb07a45e935e26385c80a65454540314d94d778ba26d65056d6fa3","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-08-14T07:59:02Z","title_canon_sha256":"8186949691559559ac2e97e5c792e4bfb55dc872569c18bab7711939035a7d50"},"schema_version":"1.0","source":{"id":"hep-th/0008110","kind":"arxiv","version":2}},"canonical_sha256":"31804fe534b86be7bd0403a6d105de35358c2d0c87de4f92b3f939a3751b9b21","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31804fe534b86be7bd0403a6d105de35358c2d0c87de4f92b3f939a3751b9b21","first_computed_at":"2026-07-04T14:31:23.980537Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:31:23.980537Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AqlLubny7E2ZBYEMMPLQaEWdqjg75dLDy/+1SDOwY078QIsdZIWgANVPlo3M/HXg8l8jNhreFhBW1ZeQ+uw1Ag==","signature_status":"signed_v1","signed_at":"2026-07-04T14:31:23.980863Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0008110","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0963d89e1324e4f69b7febc9047915d9ba7ee21590a7c3cd0d8b2f7f1353c780","sha256:ecaab2b1446bf4a933d64d87468ad97fd03d6979e41a3b93e68c0e98554fbdf4"],"state_sha256":"df5efff48110d3a98c5bdfe57de66907a7789e095ab4745df8fe9829a590891a"}