{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:ZCQHRXBKTMAUWGNV4ZGZ3XH7IQ","short_pith_number":"pith:ZCQHRXBK","canonical_record":{"source":{"id":"2407.00459","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-06-29T15:14:42Z","cross_cats_sorted":[],"title_canon_sha256":"713be45d42302faa047424db04ba8b475ea5ac05d2bacc1eae6b2abda128a5ec","abstract_canon_sha256":"7f5268490921d1ea47bc1c184ee7b53bc68c8009a743bf9adabf7d726f2ca6d5"},"schema_version":"1.0"},"canonical_sha256":"c8a078dc2a9b014b19b5e64d9ddcff443e524cafae29a261086ad3dbe82d3621","source":{"kind":"arxiv","id":"2407.00459","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.00459","created_at":"2026-07-05T08:38:20Z"},{"alias_kind":"arxiv_version","alias_value":"2407.00459v1","created_at":"2026-07-05T08:38:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.00459","created_at":"2026-07-05T08:38:20Z"},{"alias_kind":"pith_short_12","alias_value":"ZCQHRXBKTMAU","created_at":"2026-07-05T08:38:20Z"},{"alias_kind":"pith_short_16","alias_value":"ZCQHRXBKTMAUWGNV","created_at":"2026-07-05T08:38:20Z"},{"alias_kind":"pith_short_8","alias_value":"ZCQHRXBK","created_at":"2026-07-05T08:38:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:ZCQHRXBKTMAUWGNV4ZGZ3XH7IQ","target":"record","payload":{"canonical_record":{"source":{"id":"2407.00459","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-06-29T15:14:42Z","cross_cats_sorted":[],"title_canon_sha256":"713be45d42302faa047424db04ba8b475ea5ac05d2bacc1eae6b2abda128a5ec","abstract_canon_sha256":"7f5268490921d1ea47bc1c184ee7b53bc68c8009a743bf9adabf7d726f2ca6d5"},"schema_version":"1.0"},"canonical_sha256":"c8a078dc2a9b014b19b5e64d9ddcff443e524cafae29a261086ad3dbe82d3621","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:38:20.063918Z","signature_b64":"CjVgSRpaKJT7olydUQ2Obm/Y7PRo+mfUCuUq/uBEPurH9yYICQ2EXa8no0NIfV2AN9Fr4EQYiz5ZGIUmWjSrCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c8a078dc2a9b014b19b5e64d9ddcff443e524cafae29a261086ad3dbe82d3621","last_reissued_at":"2026-07-05T08:38:20.063484Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:38:20.063484Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2407.00459","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":"2026-07-05T08:38:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VTQIIG0yz88R9QSNBl9IUeVyJvUZFc3qE1SyCp69pKWh3sDU+qLO9XmFvZQnDljzcuck+dnArcmWxu6yzn6OAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T00:29:47.015981Z"},"content_sha256":"109561399844f3568bf8dd1e6d5d5231aa8a5fe20486fa1a33fb5b92bc6e488c","schema_version":"1.0","event_id":"sha256:109561399844f3568bf8dd1e6d5d5231aa8a5fe20486fa1a33fb5b92bc6e488c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:ZCQHRXBKTMAUWGNV4ZGZ3XH7IQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Ising Model on $\\mathbb S^2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Evan K. Owen, Richard C. Brower","submitted_at":"2024-06-29T15:14:42Z","abstract_excerpt":"We define a 2-dimensional Ising model on a triangulated sphere,\n  $\\mathbb S^2$, designed to approach the exact conformal field theory (CFT)\n  in the continuum limit. Surprisingly, the derivation leads to a set\n  of geometric constraints that the lattice field theory must\n  satisfy. Monte Carlo simulations are in agreement with the exact\n  Ising CFT on $\\mathbb S^2$. We discuss the inherent benefits of using\n  non-uniform simplicial lattices and how these methods may be\n  generalized for use with other quantum theories on curved manifolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.00459","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/2407.00459/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":"2026-07-05T08:38:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9oZZ6I4InnqdesOfd8JRjMkLpAWHGGiKehnTzaqxc8gAT5w/r01V1O/ZjDev3hlgFpYrt/tSLsJ0R2RQbp7kBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T00:29:47.016357Z"},"content_sha256":"a06b976b3f5a84271327d7986571a8f46f130ea4376baf18e0f0bb4391a1b223","schema_version":"1.0","event_id":"sha256:a06b976b3f5a84271327d7986571a8f46f130ea4376baf18e0f0bb4391a1b223"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZCQHRXBKTMAUWGNV4ZGZ3XH7IQ/bundle.json","state_url":"https://pith.science/pith/ZCQHRXBKTMAUWGNV4ZGZ3XH7IQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZCQHRXBKTMAUWGNV4ZGZ3XH7IQ/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":"2026-08-18T00:29:47Z","links":{"resolver":"https://pith.science/pith/ZCQHRXBKTMAUWGNV4ZGZ3XH7IQ","bundle":"https://pith.science/pith/ZCQHRXBKTMAUWGNV4ZGZ3XH7IQ/bundle.json","state":"https://pith.science/pith/ZCQHRXBKTMAUWGNV4ZGZ3XH7IQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZCQHRXBKTMAUWGNV4ZGZ3XH7IQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ZCQHRXBKTMAUWGNV4ZGZ3XH7IQ","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":"7f5268490921d1ea47bc1c184ee7b53bc68c8009a743bf9adabf7d726f2ca6d5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-06-29T15:14:42Z","title_canon_sha256":"713be45d42302faa047424db04ba8b475ea5ac05d2bacc1eae6b2abda128a5ec"},"schema_version":"1.0","source":{"id":"2407.00459","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.00459","created_at":"2026-07-05T08:38:20Z"},{"alias_kind":"arxiv_version","alias_value":"2407.00459v1","created_at":"2026-07-05T08:38:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.00459","created_at":"2026-07-05T08:38:20Z"},{"alias_kind":"pith_short_12","alias_value":"ZCQHRXBKTMAU","created_at":"2026-07-05T08:38:20Z"},{"alias_kind":"pith_short_16","alias_value":"ZCQHRXBKTMAUWGNV","created_at":"2026-07-05T08:38:20Z"},{"alias_kind":"pith_short_8","alias_value":"ZCQHRXBK","created_at":"2026-07-05T08:38:20Z"}],"graph_snapshots":[{"event_id":"sha256:a06b976b3f5a84271327d7986571a8f46f130ea4376baf18e0f0bb4391a1b223","target":"graph","created_at":"2026-07-05T08:38:20Z","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/2407.00459/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We define a 2-dimensional Ising model on a triangulated sphere,\n  $\\mathbb S^2$, designed to approach the exact conformal field theory (CFT)\n  in the continuum limit. Surprisingly, the derivation leads to a set\n  of geometric constraints that the lattice field theory must\n  satisfy. Monte Carlo simulations are in agreement with the exact\n  Ising CFT on $\\mathbb S^2$. We discuss the inherent benefits of using\n  non-uniform simplicial lattices and how these methods may be\n  generalized for use with other quantum theories on curved manifolds.","authors_text":"Evan K. Owen, Richard C. Brower","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-06-29T15:14:42Z","title":"The Ising Model on $\\mathbb S^2$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.00459","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":"sha256:109561399844f3568bf8dd1e6d5d5231aa8a5fe20486fa1a33fb5b92bc6e488c","target":"record","created_at":"2026-07-05T08:38:20Z","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":"7f5268490921d1ea47bc1c184ee7b53bc68c8009a743bf9adabf7d726f2ca6d5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-06-29T15:14:42Z","title_canon_sha256":"713be45d42302faa047424db04ba8b475ea5ac05d2bacc1eae6b2abda128a5ec"},"schema_version":"1.0","source":{"id":"2407.00459","kind":"arxiv","version":1}},"canonical_sha256":"c8a078dc2a9b014b19b5e64d9ddcff443e524cafae29a261086ad3dbe82d3621","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c8a078dc2a9b014b19b5e64d9ddcff443e524cafae29a261086ad3dbe82d3621","first_computed_at":"2026-07-05T08:38:20.063484Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:38:20.063484Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CjVgSRpaKJT7olydUQ2Obm/Y7PRo+mfUCuUq/uBEPurH9yYICQ2EXa8no0NIfV2AN9Fr4EQYiz5ZGIUmWjSrCg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:38:20.063918Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.00459","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:109561399844f3568bf8dd1e6d5d5231aa8a5fe20486fa1a33fb5b92bc6e488c","sha256:a06b976b3f5a84271327d7986571a8f46f130ea4376baf18e0f0bb4391a1b223"],"state_sha256":"28d914e0479cadd4b7fa5c1cd75cf0b55d2fdd6aa01d598c822b5b58e9ab8b39"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nL+7Nd65xHnNPRxLkKlnpdxfVUKHgeKwkVpRkpHZOw7EUgIhrdgeCFUBaZlrvzwon4CLk6XlWURtmU/qg+yoCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T00:29:47.019310Z","bundle_sha256":"c1c34c63a6a7e4fec3cb3c08cc92ea94cdc3bfc9f16723a8e8a1de5b3908dd91"}}