{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:NU7M5LNZ7HBOBZKEM3ZAXZDTCR","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":"c3aaf3d35f59937e46d253b0ac4c6808937296b7b008b2ace4dd348e20b2bf9f","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1999-12-16T16:07:09Z","title_canon_sha256":"fa3756ebc4bc0561739d272a1f2a24b314d443721a47adddb2c62a0fd97962eb"},"schema_version":"1.0","source":{"id":"hep-th/9912143","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9912143","created_at":"2026-05-18T00:54:16Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9912143v1","created_at":"2026-05-18T00:54:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9912143","created_at":"2026-05-18T00:54:16Z"},{"alias_kind":"pith_short_12","alias_value":"NU7M5LNZ7HBO","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"NU7M5LNZ7HBOBZKE","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"NU7M5LNZ","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:ff20ce8b2f4d06a84e15a0ed736b661e2a16ae9af72a6d3fd589d7d37c06eb56","target":"graph","created_at":"2026-05-18T00:54:16Z","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 show that $SL(2;C)/SU(2)$ model which had been recently proposed to describe the behaviour of the local densities of states at the plateau transition in Integer Quantum Hall effect, has logarithmic operators. They unusual properties are studied in this letter.","authors_text":"Alexei M. Tsvelik, Ian I. Kogan","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1999-12-16T16:07:09Z","title":"Logarithmic Operators in the Theory of Plateau Transition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9912143","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":"sha256:64f60b55ff996b034b30693c9cf78edca97c8b3604c63c8f85f0bf01a5672b75","target":"record","created_at":"2026-05-18T00:54:16Z","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":"c3aaf3d35f59937e46d253b0ac4c6808937296b7b008b2ace4dd348e20b2bf9f","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1999-12-16T16:07:09Z","title_canon_sha256":"fa3756ebc4bc0561739d272a1f2a24b314d443721a47adddb2c62a0fd97962eb"},"schema_version":"1.0","source":{"id":"hep-th/9912143","kind":"arxiv","version":1}},"canonical_sha256":"6d3eceadb9f9c2e0e54466f20be4731462e04eb7c5998983a6d396cec623d911","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d3eceadb9f9c2e0e54466f20be4731462e04eb7c5998983a6d396cec623d911","first_computed_at":"2026-05-18T00:54:16.028002Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:16.028002Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8PYrQSXpHaidf3BEUN5HOPeFcr/VlguaX+k5UH3fmGwDDG7dCpLbvJ0b/NyBLkOBzuJa3wseuNeJdZInKB0OCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:16.028448Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9912143","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64f60b55ff996b034b30693c9cf78edca97c8b3604c63c8f85f0bf01a5672b75","sha256:ff20ce8b2f4d06a84e15a0ed736b661e2a16ae9af72a6d3fd589d7d37c06eb56"],"state_sha256":"eab3b97c4b862a2e66051ab1e6e5ce829cf595f200da931cd7a35e2629f87301"}