{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:E7CPSJWMIBVA6IGXYUQGEPT2I4","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":"e13129ce4905ed49534cdb6049055de193a49cb8bcf69908310e7b1232610866","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-04-25T13:20:13Z","title_canon_sha256":"8dce0f9e6e12fe5dac881c0a458838c8c054330a6853dbbe167a757fc0c2f7cb"},"schema_version":"1.0","source":{"id":"1304.6903","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.6903","created_at":"2026-05-18T03:18:05Z"},{"alias_kind":"arxiv_version","alias_value":"1304.6903v1","created_at":"2026-05-18T03:18:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.6903","created_at":"2026-05-18T03:18:05Z"},{"alias_kind":"pith_short_12","alias_value":"E7CPSJWMIBVA","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"E7CPSJWMIBVA6IGX","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"E7CPSJWM","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:d9f6225e3f01aef87404fd55e90f6500bea6bf4ce3fcbedbcac73e438f6a4693","target":"graph","created_at":"2026-05-18T03:18:05Z","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":"We consider integrable models, or in general any model defined by an $R$-matrix, on random surfaces, which are discretized using random Manhattan lattices. The set of random Manhattan lattices is defined as the set dual to the lattice random surfaces embedded on a regular d-dimensional lattice. They can also be associated with the random graphs of multiparticle scattering nodes. As an example we formulate a random matrix model where the partition function reproduces the annealed average of the XXZ Heisenberg model over all random Manhattan lattices. A technique is presented which reduces the r","authors_text":"A. Sedrakyan, J. Ambjorn","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-04-25T13:20:13Z","title":"The XXZ Heisenberg model on random surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.6903","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:f9fb4a40b599f6c3db1c78ed5c3c8a91b7338966be4e3c79b5b1197f8b7dca15","target":"record","created_at":"2026-05-18T03:18:05Z","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":"e13129ce4905ed49534cdb6049055de193a49cb8bcf69908310e7b1232610866","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-04-25T13:20:13Z","title_canon_sha256":"8dce0f9e6e12fe5dac881c0a458838c8c054330a6853dbbe167a757fc0c2f7cb"},"schema_version":"1.0","source":{"id":"1304.6903","kind":"arxiv","version":1}},"canonical_sha256":"27c4f926cc406a0f20d7c520623e7a471e59926645f3698b1be153cb95793af4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27c4f926cc406a0f20d7c520623e7a471e59926645f3698b1be153cb95793af4","first_computed_at":"2026-05-18T03:18:05.982930Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:05.982930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q2RRjB60bxPnexh0s30S5mlUkML84Xex/oCwZzjlUovglC9MKhfgHA9S1XRsw0M/2r9NFfwKJOuSNsOLpLqhAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:05.983483Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.6903","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9fb4a40b599f6c3db1c78ed5c3c8a91b7338966be4e3c79b5b1197f8b7dca15","sha256:d9f6225e3f01aef87404fd55e90f6500bea6bf4ce3fcbedbcac73e438f6a4693"],"state_sha256":"894618b386096f068f2b4e069a7aed2f7fb119db2e6c5451c2e0ec29749ae192"}