{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:UGNCHEWXU3FELM5OEAVKL7CBKH","short_pith_number":"pith:UGNCHEWX","canonical_record":{"source":{"id":"1805.08572","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-05-22T13:33:44Z","cross_cats_sorted":[],"title_canon_sha256":"e52a5f155443e0dd9362f5e06b442ad1dc143005cdb0d7df85c037781d1cc50d","abstract_canon_sha256":"7e96c970f0b6bcf74791bab1433dc8209b668340607e0c457ee44970b12b8fd2"},"schema_version":"1.0"},"canonical_sha256":"a19a2392d7a6ca45b3ae202aa5fc4151c23c77e868460cec77fef5474f37e83d","source":{"kind":"arxiv","id":"1805.08572","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.08572","created_at":"2026-05-18T00:03:55Z"},{"alias_kind":"arxiv_version","alias_value":"1805.08572v3","created_at":"2026-05-18T00:03:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.08572","created_at":"2026-05-18T00:03:55Z"},{"alias_kind":"pith_short_12","alias_value":"UGNCHEWXU3FE","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"UGNCHEWXU3FELM5O","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"UGNCHEWX","created_at":"2026-05-18T12:32:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:UGNCHEWXU3FELM5OEAVKL7CBKH","target":"record","payload":{"canonical_record":{"source":{"id":"1805.08572","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-05-22T13:33:44Z","cross_cats_sorted":[],"title_canon_sha256":"e52a5f155443e0dd9362f5e06b442ad1dc143005cdb0d7df85c037781d1cc50d","abstract_canon_sha256":"7e96c970f0b6bcf74791bab1433dc8209b668340607e0c457ee44970b12b8fd2"},"schema_version":"1.0"},"canonical_sha256":"a19a2392d7a6ca45b3ae202aa5fc4151c23c77e868460cec77fef5474f37e83d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:55.923129Z","signature_b64":"OBPJl28Jd+3m7DJyjuyQRlRGgTkZhAglM2hGTjdtE/3z8wlVofY0QPb1Wd15Y36xokXIOfO56o3jZo/YlcWBBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a19a2392d7a6ca45b3ae202aa5fc4151c23c77e868460cec77fef5474f37e83d","last_reissued_at":"2026-05-18T00:03:55.920994Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:55.920994Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.08572","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:03:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5skFjy1/XtsTe7tLHYqDsP10OLUwtVgC2TVwcWlCkmYDpzuzKvIsiBbPXZP9quvzDJ0wXa+9XDIGFbKBBm/JCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T16:49:33.179925Z"},"content_sha256":"18d1b7dc01378fdc304b32d8211de84baa8cb7b78c835ef3c3479dd01deb9dec","schema_version":"1.0","event_id":"sha256:18d1b7dc01378fdc304b32d8211de84baa8cb7b78c835ef3c3479dd01deb9dec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:UGNCHEWXU3FELM5OEAVKL7CBKH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Second-order dual fermion approach to the Mott transition in the two-dimensional Hubbard model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Erik G. C. P. van Loon, Hartmut Hafermann, Mikhail I. Katsnelson","submitted_at":"2018-05-22T13:33:44Z","abstract_excerpt":"We apply the dual fermion approach with a second-order approximation to the self-energy to the Mott transition in the two-dimensional Hubbard model. The approximation captures nonlocal dynamical short-range correlations as well as several features observed in studies using cluster dynamical mean-field theory. This includes a strong reduction of the critical interaction and inversion of the slope of the transition lines with respect to single-site dynamical mean-field theory. We show that these effects coincide with a much smaller momentum differentiation compared to cluster methods. We further"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.08572","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:03:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ne0njWk/CBcfhBEEVhyr9eZO14UYCP2H77MJL/hmPcP9YsD+S3o9Jh38sX4thdckhljj3ibA/PQeu9YEax2BAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T16:49:33.180601Z"},"content_sha256":"6b875fc96d8a655528daed16b26fea61cdcfaedb7da5085bbe7dcee9c234f6f0","schema_version":"1.0","event_id":"sha256:6b875fc96d8a655528daed16b26fea61cdcfaedb7da5085bbe7dcee9c234f6f0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UGNCHEWXU3FELM5OEAVKL7CBKH/bundle.json","state_url":"https://pith.science/pith/UGNCHEWXU3FELM5OEAVKL7CBKH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UGNCHEWXU3FELM5OEAVKL7CBKH/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T16:49:33Z","links":{"resolver":"https://pith.science/pith/UGNCHEWXU3FELM5OEAVKL7CBKH","bundle":"https://pith.science/pith/UGNCHEWXU3FELM5OEAVKL7CBKH/bundle.json","state":"https://pith.science/pith/UGNCHEWXU3FELM5OEAVKL7CBKH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UGNCHEWXU3FELM5OEAVKL7CBKH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:UGNCHEWXU3FELM5OEAVKL7CBKH","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":"7e96c970f0b6bcf74791bab1433dc8209b668340607e0c457ee44970b12b8fd2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-05-22T13:33:44Z","title_canon_sha256":"e52a5f155443e0dd9362f5e06b442ad1dc143005cdb0d7df85c037781d1cc50d"},"schema_version":"1.0","source":{"id":"1805.08572","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.08572","created_at":"2026-05-18T00:03:55Z"},{"alias_kind":"arxiv_version","alias_value":"1805.08572v3","created_at":"2026-05-18T00:03:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.08572","created_at":"2026-05-18T00:03:55Z"},{"alias_kind":"pith_short_12","alias_value":"UGNCHEWXU3FE","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"UGNCHEWXU3FELM5O","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"UGNCHEWX","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:6b875fc96d8a655528daed16b26fea61cdcfaedb7da5085bbe7dcee9c234f6f0","target":"graph","created_at":"2026-05-18T00:03:55Z","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 apply the dual fermion approach with a second-order approximation to the self-energy to the Mott transition in the two-dimensional Hubbard model. The approximation captures nonlocal dynamical short-range correlations as well as several features observed in studies using cluster dynamical mean-field theory. This includes a strong reduction of the critical interaction and inversion of the slope of the transition lines with respect to single-site dynamical mean-field theory. We show that these effects coincide with a much smaller momentum differentiation compared to cluster methods. We further","authors_text":"Erik G. C. P. van Loon, Hartmut Hafermann, Mikhail I. Katsnelson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-05-22T13:33:44Z","title":"Second-order dual fermion approach to the Mott transition in the two-dimensional Hubbard model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.08572","kind":"arxiv","version":3},"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":"sha256:18d1b7dc01378fdc304b32d8211de84baa8cb7b78c835ef3c3479dd01deb9dec","target":"record","created_at":"2026-05-18T00:03:55Z","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":"7e96c970f0b6bcf74791bab1433dc8209b668340607e0c457ee44970b12b8fd2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-05-22T13:33:44Z","title_canon_sha256":"e52a5f155443e0dd9362f5e06b442ad1dc143005cdb0d7df85c037781d1cc50d"},"schema_version":"1.0","source":{"id":"1805.08572","kind":"arxiv","version":3}},"canonical_sha256":"a19a2392d7a6ca45b3ae202aa5fc4151c23c77e868460cec77fef5474f37e83d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a19a2392d7a6ca45b3ae202aa5fc4151c23c77e868460cec77fef5474f37e83d","first_computed_at":"2026-05-18T00:03:55.920994Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:55.920994Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OBPJl28Jd+3m7DJyjuyQRlRGgTkZhAglM2hGTjdtE/3z8wlVofY0QPb1Wd15Y36xokXIOfO56o3jZo/YlcWBBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:55.923129Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.08572","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:18d1b7dc01378fdc304b32d8211de84baa8cb7b78c835ef3c3479dd01deb9dec","sha256:6b875fc96d8a655528daed16b26fea61cdcfaedb7da5085bbe7dcee9c234f6f0"],"state_sha256":"a92afab03c0b29abda649f0cb3ac0683217b057c1213280767469c4710e36325"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QVX59jrpwF44enshAM920tSiMaH6XJ+w9aBE0dznyyD0v87loRR5hCBSNRLeLJvPK0pMarlVpNZy4UJcsfhICQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T16:49:33.184520Z","bundle_sha256":"ba67b79bc6e2e48184271578288e1fe57a6f1852e5f91d198e083795f551d7a1"}}