{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:FDMSLBF5ZGZCQC36IXQZOSGP64","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":"3368bc8ee1776cf5bf36cf316e26ef54f839ef9a4aefa84ff9f20a18f86572b9","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-05-25T14:08:31Z","title_canon_sha256":"e88f07544bd4d5e67ce9e96201925a35b62b894328fd7f0f60c4d5c769fde1ed"},"schema_version":"1.0","source":{"id":"1205.5702","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.5702","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"arxiv_version","alias_value":"1205.5702v2","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.5702","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"pith_short_12","alias_value":"FDMSLBF5ZGZC","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FDMSLBF5ZGZCQC36","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FDMSLBF5","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:87274e2a5b03f12c1fcf44628f699712e56ba1bcfda856f4731105c117ddd525","target":"graph","created_at":"2026-05-18T03:49:11Z","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 present a new approach to the static finite temperature correlation functions of the Heisenberg chain based on functional equations. An inhomogeneous generalization of the n-site density operator is considered. The lattice path integral formulation with a finite but arbitrary Trotter number allows to derive a set of discrete functional equations with respect to the spectral parameters. We show that these equations yield a unique characterization of the density operator. Our functional equations are a discrete version of the reduced q-Knizhnik-Zamolodchikov equations which played a central r","authors_text":"Andreas Kl\\\"umper, Britta Aufgebauer","cross_cats":["math-ph","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-05-25T14:08:31Z","title":"Finite temperature correlation functions from discrete functional equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.5702","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":"sha256:1f32614fa9f46a7799e65bf201b66077c7320f65f8279fe2b3b4cd773a7620c1","target":"record","created_at":"2026-05-18T03:49:11Z","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":"3368bc8ee1776cf5bf36cf316e26ef54f839ef9a4aefa84ff9f20a18f86572b9","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-05-25T14:08:31Z","title_canon_sha256":"e88f07544bd4d5e67ce9e96201925a35b62b894328fd7f0f60c4d5c769fde1ed"},"schema_version":"1.0","source":{"id":"1205.5702","kind":"arxiv","version":2}},"canonical_sha256":"28d92584bdc9b2280b7e45e19748cff70502d158b057c029be8c26bccdc9222d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28d92584bdc9b2280b7e45e19748cff70502d158b057c029be8c26bccdc9222d","first_computed_at":"2026-05-18T03:49:11.588893Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:11.588893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"exXaTttzLp8Mjt2B6piCHEYfiZzbpjVBjxVB8pAQu7A/dkEVEQCG56IWlLK80BRpe8l/upwvXk8qlFop1jnsDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:11.589268Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.5702","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f32614fa9f46a7799e65bf201b66077c7320f65f8279fe2b3b4cd773a7620c1","sha256:87274e2a5b03f12c1fcf44628f699712e56ba1bcfda856f4731105c117ddd525"],"state_sha256":"3747bbe441008659de646df2fb2df54f8b70a9d61c0a598b05e93ba594e12f94"}