{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JDSEYVQJ34XHGBDUAEK2DU2KSS","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":"4665ad7070d33bc5bda34859d989cf1ade6d65dc4b82593d33bcf1bbb87b8bc6","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-09-05T06:46:22Z","title_canon_sha256":"8b0f97da076c52b1e3f84f3ccddbfdd04c9ef07956cf1905e6637bc82964137a"},"schema_version":"1.0","source":{"id":"1409.1671","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.1671","created_at":"2026-05-18T01:21:23Z"},{"alias_kind":"arxiv_version","alias_value":"1409.1671v1","created_at":"2026-05-18T01:21:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.1671","created_at":"2026-05-18T01:21:23Z"},{"alias_kind":"pith_short_12","alias_value":"JDSEYVQJ34XH","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"JDSEYVQJ34XHGBDU","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"JDSEYVQJ","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:554bc3a24e47e35147c195d05d176c1d82ab3746638e059907ebcdc2e31d9a48","target":"graph","created_at":"2026-05-18T01:21:23Z","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 to understand the orthogonality catastrophe in the half-filled lattice model of spinless fermions with repulsive nearest neighbor interaction and a local impurity in its Luttinger liquid phase one has to take into account (i) the impurity scaling, (ii) unusual finite size $L$ corrections of the form $\\ln(L)/L$, as well as (iii) the renormalization group flow of the umklapp scattering. The latter defines a length scale $L_u$ which becomes exceedingly large the closer the system is to its transition into the charge-density wave phase. Beyond this transition umklapp scattering is rel","authors_text":"D. H\\\"ubscher, D.M. Kennes, M.J. Schmidt, V. Meden","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-09-05T06:46:22Z","title":"Renormalization group flows in one-dimensional lattice models: impurity scaling, umklapp scattering and the orthogonality catastrophe"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.1671","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":"sha256:20658c115d1956d958162ce25dcc0f4fbfc3eeb2a12f91c752f1831c321ad130","target":"record","created_at":"2026-05-18T01:21:23Z","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":"4665ad7070d33bc5bda34859d989cf1ade6d65dc4b82593d33bcf1bbb87b8bc6","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-09-05T06:46:22Z","title_canon_sha256":"8b0f97da076c52b1e3f84f3ccddbfdd04c9ef07956cf1905e6637bc82964137a"},"schema_version":"1.0","source":{"id":"1409.1671","kind":"arxiv","version":1}},"canonical_sha256":"48e44c5609df2e7304740115a1d34a9485c00a28a9343bab5bba3bfcc4f658c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48e44c5609df2e7304740115a1d34a9485c00a28a9343bab5bba3bfcc4f658c5","first_computed_at":"2026-05-18T01:21:23.219844Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:23.219844Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"42rKliB9ppQEwWIgAwcRURnYPV1A9t1x9VFYZYMmzzEdGgAXzzc/ltO4FvV4Hp0/gwf8r8c/Z2cF6OFYuLfrDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:23.220468Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.1671","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20658c115d1956d958162ce25dcc0f4fbfc3eeb2a12f91c752f1831c321ad130","sha256:554bc3a24e47e35147c195d05d176c1d82ab3746638e059907ebcdc2e31d9a48"],"state_sha256":"d2ede2cdfba213d811739c2422204570bde1ce0bf3fe7c0bf57d8a30b0a2fe1e"}