{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:F7YVE4FOHLVKIKNW4IMCKW7DP6","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":"f3f84825392baf01e4f57f3a28286b482325031747d93c430e9488d01a778971","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-08-06T17:59:35Z","title_canon_sha256":"d5a812475fb6346123615a22244f371b8a2adcd93128397f1ce6072e30f79c6c"},"schema_version":"1.0","source":{"id":"2608.06376","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.06376","created_at":"2026-08-07T01:41:31Z"},{"alias_kind":"arxiv_version","alias_value":"2608.06376v1","created_at":"2026-08-07T01:41:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.06376","created_at":"2026-08-07T01:41:31Z"},{"alias_kind":"pith_short_12","alias_value":"F7YVE4FOHLVK","created_at":"2026-08-07T01:41:31Z"},{"alias_kind":"pith_short_16","alias_value":"F7YVE4FOHLVKIKNW","created_at":"2026-08-07T01:41:31Z"},{"alias_kind":"pith_short_8","alias_value":"F7YVE4FO","created_at":"2026-08-07T01:41:31Z"}],"graph_snapshots":[{"event_id":"sha256:623d26e45b5d7aa459794e46b0ed604f1030f259415679457154745e4e7b7006","target":"graph","created_at":"2026-08-07T01:41:31Z","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/2608.06376/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Neural network field theory (NN-FT) defines a field theory by a network architecture together with a probability density on its latent variables. For compact theories the local Gaussian sector is only part of the story: one must also sum over discrete topological sectors. We review a mixed continuous/discrete latent-variable construction and apply it to two compact bosons. For the Berezinskii--Kosterlitz--Thouless transition, a random Fourier feature spin-wave sampler supplemented by an explicit Coulomb gas vortex sector reproduces the Gaussian critical line below $T_c$, vortex proliferation a","authors_text":"Brandon Robinson, Christian Ferko, Vishnu Jejjala","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-08-06T17:59:35Z","title":"A Tale of Two Compact Bosons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.06376","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":"sha256:8bb1a535fcb2c2d7c9eb5e27ad3dc998392db806f6673c5344e7d9b5438bfbb4","target":"record","created_at":"2026-08-07T01:41:31Z","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":"f3f84825392baf01e4f57f3a28286b482325031747d93c430e9488d01a778971","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-08-06T17:59:35Z","title_canon_sha256":"d5a812475fb6346123615a22244f371b8a2adcd93128397f1ce6072e30f79c6c"},"schema_version":"1.0","source":{"id":"2608.06376","kind":"arxiv","version":1}},"canonical_sha256":"2ff15270ae3aeaa429b6e218255be37fbbbee3c23fed0cfee3f15baa6f4d11aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ff15270ae3aeaa429b6e218255be37fbbbee3c23fed0cfee3f15baa6f4d11aa","first_computed_at":"2026-08-07T01:41:31.545762Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-07T01:41:31.545762Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h95isMn0E97oMn6UiIxBwznx24Ts1zsC4NnlKQUPGC6fM+SfCM3628CZhEEf6rDllRCP63MiQbxnlihFxy2gCQ==","signature_status":"signed_v1","signed_at":"2026-08-07T01:41:31.547406Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.06376","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8bb1a535fcb2c2d7c9eb5e27ad3dc998392db806f6673c5344e7d9b5438bfbb4","sha256:623d26e45b5d7aa459794e46b0ed604f1030f259415679457154745e4e7b7006"],"state_sha256":"8157c8b106630281e71f55264dee294d5f5466aef41b6ef69221602a49015c77"}