{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:LQR4BQA6FE3DNU4I2ZDZA7YVQG","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":"3dbbdbcaaed400eaa7941660f4063a2b6d26fe3994c08a4907c53633faa9ec39","cross_cats_sorted":["cond-mat.dis-nn","cs.LG","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-24T09:07:07Z","title_canon_sha256":"ac645f69e766a1886ea167f7d6ce2c7e73466c71ffd600fb8d9742eb6bd5396a"},"schema_version":"1.0","source":{"id":"2606.25600","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.25600","created_at":"2026-06-25T01:18:10Z"},{"alias_kind":"arxiv_version","alias_value":"2606.25600v1","created_at":"2026-06-25T01:18:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.25600","created_at":"2026-06-25T01:18:10Z"},{"alias_kind":"pith_short_12","alias_value":"LQR4BQA6FE3D","created_at":"2026-06-25T01:18:10Z"},{"alias_kind":"pith_short_16","alias_value":"LQR4BQA6FE3DNU4I","created_at":"2026-06-25T01:18:10Z"},{"alias_kind":"pith_short_8","alias_value":"LQR4BQA6","created_at":"2026-06-25T01:18:10Z"}],"graph_snapshots":[{"event_id":"sha256:7974b7f9c455219349c8b9202530f8a3a287567f36ded2c9bcce8761740471ac","target":"graph","created_at":"2026-06-25T01:18:10Z","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/2606.25600/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the first part of this work, we construct the first type of two-dimensional (2D) hyperbolic neural quantum state (NQS) in the form of the Lorentz 2DRNN (Recurrent Neural Network) and benchmark its performance against the Euclidean 2DRNN in the paradigmatic $N\\times N$ 2D Transverse Field Ising Model (2DTFIM) setting with different lattice sizes up to $N=12$ and at different transverse magnetic field strengths. We find that hyperbolic Lorentz 2DRNN NQS definitively outperform Euclidean 2DRNN NQS when the system is at the phase transition point when the physics can be described by a conformal","authors_text":"H. L. Dao","cross_cats":["cond-mat.dis-nn","cs.LG","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-24T09:07:07Z","title":"Two-dimensional Hyperbolic RNN Neural Quantum State"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.25600","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":"sha256:42f7a55f7eda0509b5be971b5d39158ce5f0b0b4439096a6346376e555dd1213","target":"record","created_at":"2026-06-25T01:18:10Z","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":"3dbbdbcaaed400eaa7941660f4063a2b6d26fe3994c08a4907c53633faa9ec39","cross_cats_sorted":["cond-mat.dis-nn","cs.LG","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-24T09:07:07Z","title_canon_sha256":"ac645f69e766a1886ea167f7d6ce2c7e73466c71ffd600fb8d9742eb6bd5396a"},"schema_version":"1.0","source":{"id":"2606.25600","kind":"arxiv","version":1}},"canonical_sha256":"5c23c0c01e293636d388d647907f1581acb96adf2a77066c514f47bf5995f539","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c23c0c01e293636d388d647907f1581acb96adf2a77066c514f47bf5995f539","first_computed_at":"2026-06-25T01:18:10.061965Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-25T01:18:10.061965Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7Z938LDPl1dKbmVwgSED8gRZnXfW2kAlieqn62jAU+ocH1fywHinpX3g8AGHtXxhMl3Zxqk2rRr2wvS1uOnLBw==","signature_status":"signed_v1","signed_at":"2026-06-25T01:18:10.062358Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.25600","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:42f7a55f7eda0509b5be971b5d39158ce5f0b0b4439096a6346376e555dd1213","sha256:7974b7f9c455219349c8b9202530f8a3a287567f36ded2c9bcce8761740471ac"],"state_sha256":"d7e419465fa46a27773a759142a26b6b5c7385601d388ed9fcb283923fceaaf5"}