{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:YIK2MNMME7Q6T6SHCMZGSY752Z","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":"518bb20da0b0a78d4c2559d75b369dc80dbd0a0207aafa369771fe8fb04b4b96","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-29T23:10:50Z","title_canon_sha256":"28abbaac5f4d4ac161f763cf5c435f9187aa7b394b0d526a78bc8d99fb7b1624"},"schema_version":"1.0","source":{"id":"1711.11144","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.11144","created_at":"2026-05-18T00:13:50Z"},{"alias_kind":"arxiv_version","alias_value":"1711.11144v2","created_at":"2026-05-18T00:13:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.11144","created_at":"2026-05-18T00:13:50Z"},{"alias_kind":"pith_short_12","alias_value":"YIK2MNMME7Q6","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YIK2MNMME7Q6T6SH","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YIK2MNMM","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:9cbf058ed3632e5845a0dbffd793c5f9677f90baf00eac50181a1c8d79090de3","target":"graph","created_at":"2026-05-18T00:13:50Z","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 set up a correspondence between solutions of the Yang-Mills equations on ${\\mathbb R}\\times S^3$ and in Minkowski spacetime via de Sitter space. Some known Abelian and non-Abelian exact solutions are rederived. For the Maxwell case we present a straightforward algorithm to generate an infinite number of explicit solutions, with fields and potentials in Minkowski coordinates given by rational functions of increasing complexity. We illustrate our method with a nontrivial example.","authors_text":"Gleb Zhilin, Olaf Lechtenfeld","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-29T23:10:50Z","title":"A new construction of rational electromagnetic knots"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.11144","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":"sha256:4933fd6600e9f6b8a36ab76af2ac3652eba4f9641dd2b4234c974c2da9461f2c","target":"record","created_at":"2026-05-18T00:13:50Z","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":"518bb20da0b0a78d4c2559d75b369dc80dbd0a0207aafa369771fe8fb04b4b96","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-29T23:10:50Z","title_canon_sha256":"28abbaac5f4d4ac161f763cf5c435f9187aa7b394b0d526a78bc8d99fb7b1624"},"schema_version":"1.0","source":{"id":"1711.11144","kind":"arxiv","version":2}},"canonical_sha256":"c215a6358c27e1e9fa4713326963fdd657f5352da77f0cf90385cb6c9a5c49a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c215a6358c27e1e9fa4713326963fdd657f5352da77f0cf90385cb6c9a5c49a9","first_computed_at":"2026-05-18T00:13:50.918262Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:50.918262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kJ2lsLk8uVzMob8VuAeLaLUErF91T6CzmS5SbblWPcjK1VF2HTkC1wVy6eCh6NP8zUZx+C+b1k/9HiKOlMbCDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:50.918922Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.11144","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4933fd6600e9f6b8a36ab76af2ac3652eba4f9641dd2b4234c974c2da9461f2c","sha256:9cbf058ed3632e5845a0dbffd793c5f9677f90baf00eac50181a1c8d79090de3"],"state_sha256":"38f241418b59cdf46c3e0ab21c41bbec0a774090fb008ee567f2a0cdcbed9272"}