{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SDRFSH6CFKBWIHLSHMTN2ZCYNO","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":"6962ace811d250af1afbf5135dd03f0be39f23ccf296ff7a9c0e925b13d5eca0","cross_cats_sorted":["math-ph","math.GR","math.MP","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2017-05-01T12:13:39Z","title_canon_sha256":"29813dc97c245cd0c491e2bc9993d5f9ef4501a5d9143426dc75e77868330649"},"schema_version":"1.0","source":{"id":"1705.00491","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.00491","created_at":"2026-05-18T00:01:00Z"},{"alias_kind":"arxiv_version","alias_value":"1705.00491v2","created_at":"2026-05-18T00:01:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00491","created_at":"2026-05-18T00:01:00Z"},{"alias_kind":"pith_short_12","alias_value":"SDRFSH6CFKBW","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SDRFSH6CFKBWIHLS","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SDRFSH6C","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:cdbe92881639b1cd5a1547a16826aa12f4c24bfe08c90e4227e1d15847ac8acb","target":"graph","created_at":"2026-05-18T00:01:00Z","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":"The symmetry algebra of the real elliptic Liouville equation is an infinite-dimensional loop algebra with the simple Lie algebra $o(3,1)$ as its maximal finite-dimensional subalgebra. The entire algebra generates the conformal group of the Euclidean plane $E_2$. This infinite-dimensional algebra distinguishes the elliptic Liouville equation from the hyperbolic one with its symmetry algebra that is the direct sum of two Virasoro algebras. Following a discretisation procedure developed earlier, we present a difference scheme that is invariant under the group $O(3,1)$ and has the elliptic Liouvil","authors_text":"Decio Levi, Luigi Martina, Pavel Winternitz","cross_cats":["math-ph","math.GR","math.MP","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2017-05-01T12:13:39Z","title":"Conformally invariant elliptic Liouville equation and its symmetry preserving discretization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00491","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":"sha256:83ebbb954f1cce28cac2206cef8768915381634fdff669d361cca873cbef0ed6","target":"record","created_at":"2026-05-18T00:01:00Z","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":"6962ace811d250af1afbf5135dd03f0be39f23ccf296ff7a9c0e925b13d5eca0","cross_cats_sorted":["math-ph","math.GR","math.MP","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2017-05-01T12:13:39Z","title_canon_sha256":"29813dc97c245cd0c491e2bc9993d5f9ef4501a5d9143426dc75e77868330649"},"schema_version":"1.0","source":{"id":"1705.00491","kind":"arxiv","version":2}},"canonical_sha256":"90e2591fc22a83641d723b26dd64586b818faf4345f72266d809d1005aba26ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90e2591fc22a83641d723b26dd64586b818faf4345f72266d809d1005aba26ae","first_computed_at":"2026-05-18T00:01:00.702196Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:00.702196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xS9v4l+6Zwd1F36h8hZlCBNrWH538J2cg+zqZM96UhvE8WBupjD2Qr6XAzaNXxakryuMJABR8IxGunI+h9ZKDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:00.702626Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.00491","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83ebbb954f1cce28cac2206cef8768915381634fdff669d361cca873cbef0ed6","sha256:cdbe92881639b1cd5a1547a16826aa12f4c24bfe08c90e4227e1d15847ac8acb"],"state_sha256":"2aecee6aab9721b0a61adebe84c5e811f8ccc569e6e1e17a04909900486ef018"}