{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:BIK45JGUJKCUXN2AUAHLITIXTI","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":"0c10fa1ac24980beed01d828d7d601cb52c8e2a12b4768bcffeada0c57bbcce9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-04-15T09:32:56Z","title_canon_sha256":"bec624da75f54f12a106cfeb5f6c167314ed2bf8bcbf239911772d22f5d27f5c"},"schema_version":"1.0","source":{"id":"1804.05329","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.05329","created_at":"2026-05-17T23:53:31Z"},{"alias_kind":"arxiv_version","alias_value":"1804.05329v1","created_at":"2026-05-17T23:53:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.05329","created_at":"2026-05-17T23:53:31Z"},{"alias_kind":"pith_short_12","alias_value":"BIK45JGUJKCU","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"BIK45JGUJKCUXN2A","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"BIK45JGU","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:9817856e247a790ac4eeb185e4220f4721dc599b763c7f29d09c17d57811068e","target":"graph","created_at":"2026-05-17T23:53:31Z","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":"Numerical approaches are an important tool to study strongly correlated quantum systems. However, their fragility with respect to rounding errors is not well studied and numerically verified enclosures of the results are not available. In this work we apply interval arithmetic to the well established numerical renormalization group scheme. This extension enables us to provide a numerically verified NRG excitation spectrum.","authors_text":"Peter Schmitteckert","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-04-15T09:32:56Z","title":"Towards verified numerical renormalization group calculations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.05329","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":"sha256:989dc4624446b8e458fd82c64dadf36e50bfcfa107027ed435779e77a2bfae8e","target":"record","created_at":"2026-05-17T23:53:31Z","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":"0c10fa1ac24980beed01d828d7d601cb52c8e2a12b4768bcffeada0c57bbcce9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-04-15T09:32:56Z","title_canon_sha256":"bec624da75f54f12a106cfeb5f6c167314ed2bf8bcbf239911772d22f5d27f5c"},"schema_version":"1.0","source":{"id":"1804.05329","kind":"arxiv","version":1}},"canonical_sha256":"0a15cea4d44a854bb740a00eb44d179a1ae8c0cd49ff9e7422cd5cf380c37799","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0a15cea4d44a854bb740a00eb44d179a1ae8c0cd49ff9e7422cd5cf380c37799","first_computed_at":"2026-05-17T23:53:31.266353Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:31.266353Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fWFJkHdwfOBilu2bm92Ld4k5XMEk1R4a/PzlvVTtc6YCIkoQMVgYwT+ml3muSar8n6C6iZrWkPRFuddEfRXgDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:31.266864Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.05329","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:989dc4624446b8e458fd82c64dadf36e50bfcfa107027ed435779e77a2bfae8e","sha256:9817856e247a790ac4eeb185e4220f4721dc599b763c7f29d09c17d57811068e"],"state_sha256":"d5a096922ecfc93da0f76f65b6d8cac335176549181785a1d67f39f518244f3b"}