{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:NX7JH64XWQPF4C5LPLIJNQRWTQ","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":"101f648cccf11ae641712af7e67eb99cd0f071899b00af09cd9d0816a1284df2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2025-03-07T17:48:46Z","title_canon_sha256":"da762d5ee86e9150435088194bca1c881893abf0812b08bd639afa7c811968bf"},"schema_version":"1.0","source":{"id":"2503.05621","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.05621","created_at":"2026-07-05T10:46:41Z"},{"alias_kind":"arxiv_version","alias_value":"2503.05621v2","created_at":"2026-07-05T10:46:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.05621","created_at":"2026-07-05T10:46:41Z"},{"alias_kind":"pith_short_12","alias_value":"NX7JH64XWQPF","created_at":"2026-07-05T10:46:41Z"},{"alias_kind":"pith_short_16","alias_value":"NX7JH64XWQPF4C5L","created_at":"2026-07-05T10:46:41Z"},{"alias_kind":"pith_short_8","alias_value":"NX7JH64X","created_at":"2026-07-05T10:46:41Z"}],"graph_snapshots":[{"event_id":"sha256:7a480b11dfeec2a3862f88533843f13087849b23c6310b83aa3df0dad25ee18f","target":"graph","created_at":"2026-07-05T10:46:41Z","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/2503.05621/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We review the recent construction \\cite{brower2024isingmodelmathbbs2} of the 2d Ising model on a triangulated sphere $\\mathbb{S}^2$. Surprisingly, this led to a precise map of the lattice couplings to the target geometry in order to reach the conform field theory (CFT) in the continuum limit. For the integrable 2d Ising CFT, the map was found analytically \\cite{Brower_2023}. Here we conjecture how this might be generalized. The discrete geometry is implemented by the piecewise flat triangulation introduced by Regge in 1960 for the Einstein Hilbert action \\cite{Regge1961GeneralRW}. Then followi","authors_text":"George T. Fleming, Jin-Yun Lin, Nobuyuki Matsumoto, Richard C. Brower, Rohan Misra","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2025-03-07T17:48:46Z","title":"Ising on $\\mathbb{S}^2$ -- The Affine Conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.05621","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":"sha256:6e5a68ead3c34977ff3fdf70761b19aea27a74b00139689b642cb27b836924f0","target":"record","created_at":"2026-07-05T10:46:41Z","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":"101f648cccf11ae641712af7e67eb99cd0f071899b00af09cd9d0816a1284df2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2025-03-07T17:48:46Z","title_canon_sha256":"da762d5ee86e9150435088194bca1c881893abf0812b08bd639afa7c811968bf"},"schema_version":"1.0","source":{"id":"2503.05621","kind":"arxiv","version":2}},"canonical_sha256":"6dfe93fb97b41e5e0bab7ad096c2369c09d5357277ec120887d8fe68709ac6d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6dfe93fb97b41e5e0bab7ad096c2369c09d5357277ec120887d8fe68709ac6d7","first_computed_at":"2026-07-05T10:46:41.488095Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:46:41.488095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7x5K1CeFHdgJERfs1/cqlDM5ULNMfIvzZn3fiQq50D72LjenIeuU/ElfxMZoYLeLSM98ADgYT8TnFhCludhUCw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:46:41.488624Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.05621","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e5a68ead3c34977ff3fdf70761b19aea27a74b00139689b642cb27b836924f0","sha256:7a480b11dfeec2a3862f88533843f13087849b23c6310b83aa3df0dad25ee18f"],"state_sha256":"8e36e408bb7b1b22abf9e621132760a743f14888bf9ec9e2d9f6448e6818eca7"}