{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:CJFDOESEGMTZGXKL4P65WMY55X","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":"62590d44150e7ae97e060b26915b758b2e0720b5b9154e2ac4a73538bf965700","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2006-09-25T10:13:48Z","title_canon_sha256":"72e9b88cf1f9ef0bb27b4e8dfd308e0449b1663db834913da31298c80d7d42fe"},"schema_version":"1.0","source":{"id":"cond-mat/0609630","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0609630","created_at":"2026-07-04T15:03:31Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0609630v1","created_at":"2026-07-04T15:03:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0609630","created_at":"2026-07-04T15:03:31Z"},{"alias_kind":"pith_short_12","alias_value":"CJFDOESEGMTZ","created_at":"2026-07-04T15:03:31Z"},{"alias_kind":"pith_short_16","alias_value":"CJFDOESEGMTZGXKL","created_at":"2026-07-04T15:03:31Z"},{"alias_kind":"pith_short_8","alias_value":"CJFDOESE","created_at":"2026-07-04T15:03:31Z"}],"graph_snapshots":[{"event_id":"sha256:4c33f729305e3e163c625eda3560d45639a2d3a3140f3977ba59af04cc38a876","target":"graph","created_at":"2026-07-04T15:03:31Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/cond-mat/0609630/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the isotope effects arising from the coupling of correlated electrons with dispersionless phonons by considering the Hubbard-Holstein model at half-filling within the dynamical mean-field theory. In particular we calculate the isotope effects on the quasi-particle spectral weight $Z$, the renormalized phonon frequency, and the static charge and spin susceptibilities. In the weakly correlated regime $U/t \\lesssim 1.5$, where $U$ is the Hubbard repulsion and $t$ is the bare electron half-bandwidth, the physical properties are qualitatively similar to those characterizing the Holstein mo","authors_text":"C. Grimaldi, E. Cappelluti, M. Capone, P. Paci, S. Ciuchi","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.str-el","submitted_at":"2006-09-25T10:13:48Z","title":"Isotope effects in the Hubbard-Holstein model within dynamical mean-field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0609630","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":"sha256:021ae25a7641dd4ad016c2a3c21b857bfed229f220e8911aa846b15b6afee203","target":"record","created_at":"2026-07-04T15:03:31Z","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":"62590d44150e7ae97e060b26915b758b2e0720b5b9154e2ac4a73538bf965700","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2006-09-25T10:13:48Z","title_canon_sha256":"72e9b88cf1f9ef0bb27b4e8dfd308e0449b1663db834913da31298c80d7d42fe"},"schema_version":"1.0","source":{"id":"cond-mat/0609630","kind":"arxiv","version":1}},"canonical_sha256":"124a3712443327935d4be3fddb331dedf069b91814f7099dea5c48363c9d7750","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"124a3712443327935d4be3fddb331dedf069b91814f7099dea5c48363c9d7750","first_computed_at":"2026-07-04T15:03:31.197481Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:03:31.197481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tt1HHhrZABIsyXzwDc1szWnMqB2A1ipAfNpPjtGK+ufwk6YsttaCbtrWDi+H/yn2U21NjaIBB1dfHconr1wsCA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:03:31.197835Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0609630","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:021ae25a7641dd4ad016c2a3c21b857bfed229f220e8911aa846b15b6afee203","sha256:4c33f729305e3e163c625eda3560d45639a2d3a3140f3977ba59af04cc38a876"],"state_sha256":"58612f7ad68ddc333b1108cd72edff0729d90db0ad7958c0c392513a7e33c82a"}