{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:H2XL672E7ME4YS465WXFIXYL7X","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":"19ea8e087cda5ddeb0e61bfb71a4fbbc1243214c70e67635a07c91af7069e93a","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2004-12-13T12:46:19Z","title_canon_sha256":"baf61f3efa7d3b0114e1ab5bc55a70590f2629a2a1849458fa8098943561a433"},"schema_version":"1.0","source":{"id":"math-ph/0412040","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0412040","created_at":"2026-05-18T01:38:33Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0412040v1","created_at":"2026-05-18T01:38:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0412040","created_at":"2026-05-18T01:38:33Z"},{"alias_kind":"pith_short_12","alias_value":"H2XL672E7ME4","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"H2XL672E7ME4YS46","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"H2XL672E","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:2c8d3ef4bd009eb54846bc3e6eaad321fa7c46b3aa01b2066ef6b042d9fa2e9b","target":"graph","created_at":"2026-05-18T01:38:33Z","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 ground states in relatively bounded quantum perturbations of classical lattice models. We prove general results about such perturbations (existence of the spectral gap, exponential decay of truncated correlations, analyticity of the ground state), and also prove that in particular the AKLT model belongs to this class if viewed at large enough scale. This immediately implies a general perturbation theory about this model.","authors_text":"D. A. Yarotsky","cross_cats":["math.MP"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2004-12-13T12:46:19Z","title":"Ground states in relatively bounded quantum perturbations of classical lattice systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0412040","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:e69c7d38583d73e9b90fac484d7624afd4b6e586d4146f8762ceff06f29320f9","target":"record","created_at":"2026-05-18T01:38:33Z","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":"19ea8e087cda5ddeb0e61bfb71a4fbbc1243214c70e67635a07c91af7069e93a","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2004-12-13T12:46:19Z","title_canon_sha256":"baf61f3efa7d3b0114e1ab5bc55a70590f2629a2a1849458fa8098943561a433"},"schema_version":"1.0","source":{"id":"math-ph/0412040","kind":"arxiv","version":1}},"canonical_sha256":"3eaebf7f44fb09cc4b9eedae545f0bfdc4912d4de2ca2a4fd9d67a2877ecbffc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3eaebf7f44fb09cc4b9eedae545f0bfdc4912d4de2ca2a4fd9d67a2877ecbffc","first_computed_at":"2026-05-18T01:38:33.296397Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:33.296397Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lgQPFShgFz3m0xDDIOB0CIrnjQLL9QTk587WkgPwMRhOlr3m+kLYpDXwrZjsrEZ4pCXrmPcZx8bmUExq/r1CBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:33.296815Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0412040","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e69c7d38583d73e9b90fac484d7624afd4b6e586d4146f8762ceff06f29320f9","sha256:2c8d3ef4bd009eb54846bc3e6eaad321fa7c46b3aa01b2066ef6b042d9fa2e9b"],"state_sha256":"ad5ddeb7d7b3e5eaee8b343ed88e35b9d6ea9868cb509f3fe5e1f68edd2a3e89"}