{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:LSFOGTCOAQ7U45EDQHSH65BGRR","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":"0e433a1252ce12e2939b46eb5d87b81266b97e18127578ca3886aff7dd50ac24","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-10-15T13:08:04Z","title_canon_sha256":"3e3ff4456ba3945515d8031e7e4260648d420a7242135cf7f46d0bffffaeab27"},"schema_version":"1.0","source":{"id":"2410.11575","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.11575","created_at":"2026-07-05T09:20:55Z"},{"alias_kind":"arxiv_version","alias_value":"2410.11575v1","created_at":"2026-07-05T09:20:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.11575","created_at":"2026-07-05T09:20:55Z"},{"alias_kind":"pith_short_12","alias_value":"LSFOGTCOAQ7U","created_at":"2026-07-05T09:20:55Z"},{"alias_kind":"pith_short_16","alias_value":"LSFOGTCOAQ7U45ED","created_at":"2026-07-05T09:20:55Z"},{"alias_kind":"pith_short_8","alias_value":"LSFOGTCO","created_at":"2026-07-05T09:20:55Z"}],"graph_snapshots":[{"event_id":"sha256:4fe0ab27f56c24f59fa9baf9838a6dd6b999f3d854e42e0fbf87d9abd53af31f","target":"graph","created_at":"2026-07-05T09:20:55Z","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/2410.11575/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"S-embeddings were introduced by Chelkak as a tool to study the conformal invariance of the thermodynamic limit of the Ising model. Moreover, Chelkak, Laslier and Russkikh introduced a lift of s-embeddings to Lorentz space, and showed that in the limit the lift converges to a maximal surface. They posed the question whether there are s-embeddings that lift to maximal surfaces already at the discrete level, before taking the limit. This paper is the first in a two paper series, in which we answer that question in the positive. In this paper we introduce a correspondence between s-embeddings (inc","authors_text":"Christian M\\\"uller, Denis Polly, Felix Dellinger, Niklas Christoph Affolter, Nina Smeenk","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-10-15T13:08:04Z","title":"Discrete Lorentz surfaces and s-embeddings I: isothermic surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.11575","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:d7669a0d5a795cee476c63573043a9732b0a93f4329301ada4f9daecd663d60d","target":"record","created_at":"2026-07-05T09:20:55Z","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":"0e433a1252ce12e2939b46eb5d87b81266b97e18127578ca3886aff7dd50ac24","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-10-15T13:08:04Z","title_canon_sha256":"3e3ff4456ba3945515d8031e7e4260648d420a7242135cf7f46d0bffffaeab27"},"schema_version":"1.0","source":{"id":"2410.11575","kind":"arxiv","version":1}},"canonical_sha256":"5c8ae34c4e043f4e748381e47f74268c429c803836cdd9762ca595d4fe7dcb07","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c8ae34c4e043f4e748381e47f74268c429c803836cdd9762ca595d4fe7dcb07","first_computed_at":"2026-07-05T09:20:55.815711Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:20:55.815711Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2QeOppsoqH/xQyFopoC5p3MBPV271guijrZAp4NlJe4mH7skY3BI92Zm+e8ttLDZhn1RhOGKUHJqHEPlHUKhDg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:20:55.816310Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.11575","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7669a0d5a795cee476c63573043a9732b0a93f4329301ada4f9daecd663d60d","sha256:4fe0ab27f56c24f59fa9baf9838a6dd6b999f3d854e42e0fbf87d9abd53af31f"],"state_sha256":"b1a7cf1c9e0c0549e272fbb7f2b32a665af17b03c4b19354c148c8ce88342937"}