{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:IWAFBP27TGJAFP4MLH2DQNALK3","short_pith_number":"pith:IWAFBP27","schema_version":"1.0","canonical_sha256":"458050bf5f999202bf8c59f438340b56f052b854bb98a60698925f0a2b4edeff","source":{"kind":"arxiv","id":"2506.02113","version":2},"attestation_state":"computed","paper":{"title":"Classical spin liquids from frustrated Ising models in hyperbolic space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Fabian K\\\"ohler, Johanna Erdmenger, Matthias Vojta, Roderich Moessner","submitted_at":"2025-06-02T18:00:04Z","abstract_excerpt":"Antiferromagnetic Ising models on frustrated lattices can realize classical spin liquids, with highly degenerate ground states and, possibly, fractionalized excitations and emergent gauge fields. Motivated by the recent interest in many-body system in negatively curved space, we study hyperbolic frustrated Ising models. Specifically, we consider nearest-neighbor Ising models on tesselations with odd-length loops in two-dimensional hyperbolic space. For finite systems with open boundaries we determine the ground-state degeneracy exactly, and we perform extensive finite-temperature Monte-Carlo s"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2506.02113","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-06-02T18:00:04Z","cross_cats_sorted":["cond-mat.mes-hall","hep-th"],"title_canon_sha256":"c0d39dc561d8581cb1a122fe868ee48dc4d4673ee7993ebd36f1cacb450a0cd4","abstract_canon_sha256":"b889dfdb525661c79a9963c1e8134d1f2a9070bfbef9d6e1a6b1c0bbd1eda48e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-29T01:15:02.752360Z","signature_b64":"CNiU+mgg5jtL+luhqJ0LY3vS1l1KOp8MrZyDOYnNLHlA5KZxpqGFDQk2QQaPu2jRck5AFju2JI0491ieSRhGCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"458050bf5f999202bf8c59f438340b56f052b854bb98a60698925f0a2b4edeff","last_reissued_at":"2026-06-29T01:15:02.751879Z","signature_status":"signed_v1","first_computed_at":"2026-06-29T01:15:02.751879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classical spin liquids from frustrated Ising models in hyperbolic space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Fabian K\\\"ohler, Johanna Erdmenger, Matthias Vojta, Roderich Moessner","submitted_at":"2025-06-02T18:00:04Z","abstract_excerpt":"Antiferromagnetic Ising models on frustrated lattices can realize classical spin liquids, with highly degenerate ground states and, possibly, fractionalized excitations and emergent gauge fields. Motivated by the recent interest in many-body system in negatively curved space, we study hyperbolic frustrated Ising models. Specifically, we consider nearest-neighbor Ising models on tesselations with odd-length loops in two-dimensional hyperbolic space. For finite systems with open boundaries we determine the ground-state degeneracy exactly, and we perform extensive finite-temperature Monte-Carlo s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.02113","kind":"arxiv","version":2},"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/2506.02113/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2506.02113","created_at":"2026-06-29T01:15:02.751938+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.02113v2","created_at":"2026-06-29T01:15:02.751938+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.02113","created_at":"2026-06-29T01:15:02.751938+00:00"},{"alias_kind":"pith_short_12","alias_value":"IWAFBP27TGJA","created_at":"2026-06-29T01:15:02.751938+00:00"},{"alias_kind":"pith_short_16","alias_value":"IWAFBP27TGJAFP4M","created_at":"2026-06-29T01:15:02.751938+00:00"},{"alias_kind":"pith_short_8","alias_value":"IWAFBP27","created_at":"2026-06-29T01:15:02.751938+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IWAFBP27TGJAFP4MLH2DQNALK3","json":"https://pith.science/pith/IWAFBP27TGJAFP4MLH2DQNALK3.json","graph_json":"https://pith.science/api/pith-number/IWAFBP27TGJAFP4MLH2DQNALK3/graph.json","events_json":"https://pith.science/api/pith-number/IWAFBP27TGJAFP4MLH2DQNALK3/events.json","paper":"https://pith.science/paper/IWAFBP27"},"agent_actions":{"view_html":"https://pith.science/pith/IWAFBP27TGJAFP4MLH2DQNALK3","download_json":"https://pith.science/pith/IWAFBP27TGJAFP4MLH2DQNALK3.json","view_paper":"https://pith.science/paper/IWAFBP27","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.02113&json=true","fetch_graph":"https://pith.science/api/pith-number/IWAFBP27TGJAFP4MLH2DQNALK3/graph.json","fetch_events":"https://pith.science/api/pith-number/IWAFBP27TGJAFP4MLH2DQNALK3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IWAFBP27TGJAFP4MLH2DQNALK3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IWAFBP27TGJAFP4MLH2DQNALK3/action/storage_attestation","attest_author":"https://pith.science/pith/IWAFBP27TGJAFP4MLH2DQNALK3/action/author_attestation","sign_citation":"https://pith.science/pith/IWAFBP27TGJAFP4MLH2DQNALK3/action/citation_signature","submit_replication":"https://pith.science/pith/IWAFBP27TGJAFP4MLH2DQNALK3/action/replication_record"}},"created_at":"2026-06-29T01:15:02.751938+00:00","updated_at":"2026-06-29T01:15:02.751938+00:00"}