{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:HRCTSEMUP3W6Z3F5ZTEXKLKS4Q","short_pith_number":"pith:HRCTSEMU","canonical_record":{"source":{"id":"2411.19055","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-11-28T11:06:43Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"69733d566c622be344bf029ab6d28b838c41278bf7dedaa2b3229c2c89814d6e","abstract_canon_sha256":"641e2f0af3cd5adbd88eda8adbe4c6b5d6f60f09f2c301ce6a898aa62e7f80d8"},"schema_version":"1.0"},"canonical_sha256":"3c453911947eedececbdccc9752d52e436a7f074cbe4991eeceb8809d3156744","source":{"kind":"arxiv","id":"2411.19055","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.19055","created_at":"2026-07-05T09:41:56Z"},{"alias_kind":"arxiv_version","alias_value":"2411.19055v1","created_at":"2026-07-05T09:41:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.19055","created_at":"2026-07-05T09:41:56Z"},{"alias_kind":"pith_short_12","alias_value":"HRCTSEMUP3W6","created_at":"2026-07-05T09:41:56Z"},{"alias_kind":"pith_short_16","alias_value":"HRCTSEMUP3W6Z3F5","created_at":"2026-07-05T09:41:56Z"},{"alias_kind":"pith_short_8","alias_value":"HRCTSEMU","created_at":"2026-07-05T09:41:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:HRCTSEMUP3W6Z3F5ZTEXKLKS4Q","target":"record","payload":{"canonical_record":{"source":{"id":"2411.19055","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-11-28T11:06:43Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"69733d566c622be344bf029ab6d28b838c41278bf7dedaa2b3229c2c89814d6e","abstract_canon_sha256":"641e2f0af3cd5adbd88eda8adbe4c6b5d6f60f09f2c301ce6a898aa62e7f80d8"},"schema_version":"1.0"},"canonical_sha256":"3c453911947eedececbdccc9752d52e436a7f074cbe4991eeceb8809d3156744","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:41:56.626177Z","signature_b64":"bZu24GKVs7d20Vhvf/kk4QDXxhe42QYd5ZI8FurKkl+y+L86L+CnZwH2o0ZkH0KLn5dBkjvtzDpC7RZvpJRPAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c453911947eedececbdccc9752d52e436a7f074cbe4991eeceb8809d3156744","last_reissued_at":"2026-07-05T09:41:56.625748Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:41:56.625748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.19055","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:41:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S3dxJnTHu+9U1vyEtCF0d1OCHWamhtdNyaI3D1apCa/76geYczCrde5A9R/h4ssdV4RMVvmAVtuPzXCsd+A+BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T09:04:44.872938Z"},"content_sha256":"e7daf20b67e58e7afea8510c5788d434415e406ec4d7123d88e19acdebdac13d","schema_version":"1.0","event_id":"sha256:e7daf20b67e58e7afea8510c5788d434415e406ec4d7123d88e19acdebdac13d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:HRCTSEMUP3W6Z3F5ZTEXKLKS4Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Discrete Lorentz surfaces and s-embeddings II: maximal surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Christian M\\\"uller, Denis Polly, Felix Dellinger, Niklas Christoph Affolter, Nina Smeenk","submitted_at":"2024-11-28T11:06:43Z","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. We answer this question in the positive. In a previous paper we identified a subclass of s-embeddings--isothermic s-embeddings--that lift to (discrete) S-isothermic s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.19055","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.19055/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:41:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"biHNE38DIPyFuWZ1m0MD/hVxpLnxz6U+elzWqugPm3jYOq+RV/+jo+ePqev5xn7eHbJnIFshUuBq8XT+GbH4DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T09:04:44.873569Z"},"content_sha256":"dc0779a174b6e28f2997c7bf151c16cbfd3ba60dd67bb38eb9390ef4ca0403a5","schema_version":"1.0","event_id":"sha256:dc0779a174b6e28f2997c7bf151c16cbfd3ba60dd67bb38eb9390ef4ca0403a5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HRCTSEMUP3W6Z3F5ZTEXKLKS4Q/bundle.json","state_url":"https://pith.science/pith/HRCTSEMUP3W6Z3F5ZTEXKLKS4Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HRCTSEMUP3W6Z3F5ZTEXKLKS4Q/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-14T09:04:44Z","links":{"resolver":"https://pith.science/pith/HRCTSEMUP3W6Z3F5ZTEXKLKS4Q","bundle":"https://pith.science/pith/HRCTSEMUP3W6Z3F5ZTEXKLKS4Q/bundle.json","state":"https://pith.science/pith/HRCTSEMUP3W6Z3F5ZTEXKLKS4Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HRCTSEMUP3W6Z3F5ZTEXKLKS4Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:HRCTSEMUP3W6Z3F5ZTEXKLKS4Q","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":"641e2f0af3cd5adbd88eda8adbe4c6b5d6f60f09f2c301ce6a898aa62e7f80d8","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-11-28T11:06:43Z","title_canon_sha256":"69733d566c622be344bf029ab6d28b838c41278bf7dedaa2b3229c2c89814d6e"},"schema_version":"1.0","source":{"id":"2411.19055","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.19055","created_at":"2026-07-05T09:41:56Z"},{"alias_kind":"arxiv_version","alias_value":"2411.19055v1","created_at":"2026-07-05T09:41:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.19055","created_at":"2026-07-05T09:41:56Z"},{"alias_kind":"pith_short_12","alias_value":"HRCTSEMUP3W6","created_at":"2026-07-05T09:41:56Z"},{"alias_kind":"pith_short_16","alias_value":"HRCTSEMUP3W6Z3F5","created_at":"2026-07-05T09:41:56Z"},{"alias_kind":"pith_short_8","alias_value":"HRCTSEMU","created_at":"2026-07-05T09:41:56Z"}],"graph_snapshots":[{"event_id":"sha256:dc0779a174b6e28f2997c7bf151c16cbfd3ba60dd67bb38eb9390ef4ca0403a5","target":"graph","created_at":"2026-07-05T09:41:56Z","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/2411.19055/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. We answer this question in the positive. In a previous paper we identified a subclass of s-embeddings--isothermic s-embeddings--that lift to (discrete) S-isothermic s","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":"2024-11-28T11:06:43Z","title":"Discrete Lorentz surfaces and s-embeddings II: maximal surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.19055","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:e7daf20b67e58e7afea8510c5788d434415e406ec4d7123d88e19acdebdac13d","target":"record","created_at":"2026-07-05T09:41:56Z","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":"641e2f0af3cd5adbd88eda8adbe4c6b5d6f60f09f2c301ce6a898aa62e7f80d8","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-11-28T11:06:43Z","title_canon_sha256":"69733d566c622be344bf029ab6d28b838c41278bf7dedaa2b3229c2c89814d6e"},"schema_version":"1.0","source":{"id":"2411.19055","kind":"arxiv","version":1}},"canonical_sha256":"3c453911947eedececbdccc9752d52e436a7f074cbe4991eeceb8809d3156744","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c453911947eedececbdccc9752d52e436a7f074cbe4991eeceb8809d3156744","first_computed_at":"2026-07-05T09:41:56.625748Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:41:56.625748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bZu24GKVs7d20Vhvf/kk4QDXxhe42QYd5ZI8FurKkl+y+L86L+CnZwH2o0ZkH0KLn5dBkjvtzDpC7RZvpJRPAw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:41:56.626177Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.19055","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e7daf20b67e58e7afea8510c5788d434415e406ec4d7123d88e19acdebdac13d","sha256:dc0779a174b6e28f2997c7bf151c16cbfd3ba60dd67bb38eb9390ef4ca0403a5"],"state_sha256":"874fecb886eed3f056078b6b192594b04ac430fe4eb9e7534fe6badf3eac6c0e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gFglaHLgm/2n1DesqY3108U+Zlk8ENqxXSfGnsyChQDHpK0nQFwuPejdopVXoMVEsId8MtMwGVE8NeyRDajJCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T09:04:44.878470Z","bundle_sha256":"8b659ba663fce2c34ebb0fe6e1acf1bcd6cb3a65fc0da2125e65d55abb0786db"}}