{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:3I6QDUDOFCZ4VT2JILZUQ5FHT2","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":"e82bddf5faef523838764cc27e0cae5e790cf67535259909c722f7d81e7049cd","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-04-16T20:16:43Z","title_canon_sha256":"26fcc536333af72104e08c628ed36cb7d253cc795044d8d3a1dc3a7087f9c8be"},"schema_version":"1.0","source":{"id":"1204.3646","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.3646","created_at":"2026-05-18T03:40:49Z"},{"alias_kind":"arxiv_version","alias_value":"1204.3646v2","created_at":"2026-05-18T03:40:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3646","created_at":"2026-05-18T03:40:49Z"},{"alias_kind":"pith_short_12","alias_value":"3I6QDUDOFCZ4","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"3I6QDUDOFCZ4VT2J","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"3I6QDUDO","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:e40fdf6704c47ce8ac80ed7df677af8b82b7cfd529400516adc1658007d4345d","target":"graph","created_at":"2026-05-18T03:40:49Z","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"},"paper":{"abstract_excerpt":"A class of three dimensional classical lattice systems with macroscopic ground state degeneracies, most famously the spin ice system, are known to exhibit \"Coulomb\" phases wherein long wavelength correlations within the ground state manifold are described by an emergent Maxwell electrodynamics. We discuss a new example of this phenomenon-the four state Potts model on the pyrochlore lattice-where the long wavelength description now involves three independent gauge fields as we confirm via simulation. The excitations above the ground state manifold are bions, defects that are simultaneously char","authors_text":"R. Moessner, S. A. Parameswaran, S. L. Sondhi, V. Khemani","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-04-16T20:16:43Z","title":"A Bionic Coulomb Phase on the Pyrochlore Lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3646","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":"sha256:5169c7bfa8423e06e89de8c306d1c0b6a5504f97200a8f567cb936d9affeae23","target":"record","created_at":"2026-05-18T03:40:49Z","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":"e82bddf5faef523838764cc27e0cae5e790cf67535259909c722f7d81e7049cd","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-04-16T20:16:43Z","title_canon_sha256":"26fcc536333af72104e08c628ed36cb7d253cc795044d8d3a1dc3a7087f9c8be"},"schema_version":"1.0","source":{"id":"1204.3646","kind":"arxiv","version":2}},"canonical_sha256":"da3d01d06e28b3cacf4942f34874a79ea077842bcc97cc29ab93f2ecaf91e9ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da3d01d06e28b3cacf4942f34874a79ea077842bcc97cc29ab93f2ecaf91e9ab","first_computed_at":"2026-05-18T03:40:49.446082Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:40:49.446082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bs8jg0qbMiNTJ9+5sRWGA2xq5HOt6KB21t4iyrFzle0NRhHUZcP43IaX1IaIbQ7Nh25sd+QBqdBqZNCs4a1XCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:40:49.446891Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.3646","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5169c7bfa8423e06e89de8c306d1c0b6a5504f97200a8f567cb936d9affeae23","sha256:e40fdf6704c47ce8ac80ed7df677af8b82b7cfd529400516adc1658007d4345d"],"state_sha256":"ab2ed0e84ad8567db1f4e4c08900d653aede6f700eac1dcd8b736789ec0e017e"}