{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:MDZTWDMQE7ISDTJVQNKNXYG7EF","short_pith_number":"pith:MDZTWDMQ","canonical_record":{"source":{"id":"1006.0294","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-06-02T05:02:22Z","cross_cats_sorted":[],"title_canon_sha256":"5f2fba2e6014dea0e2fedc2b766764fdd282ed61b39f265e5a539189934664ff","abstract_canon_sha256":"e243dbc28f00ad1d62158843b17878cf631eb3dd6f50b0c983fa5cf7410429cb"},"schema_version":"1.0"},"canonical_sha256":"60f33b0d9027d121cd358354dbe0df217514a9b346ee01644addb476ee3aa3f6","source":{"kind":"arxiv","id":"1006.0294","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.0294","created_at":"2026-05-18T04:19:13Z"},{"alias_kind":"arxiv_version","alias_value":"1006.0294v1","created_at":"2026-05-18T04:19:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.0294","created_at":"2026-05-18T04:19:13Z"},{"alias_kind":"pith_short_12","alias_value":"MDZTWDMQE7IS","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"MDZTWDMQE7ISDTJV","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"MDZTWDMQ","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:MDZTWDMQE7ISDTJVQNKNXYG7EF","target":"record","payload":{"canonical_record":{"source":{"id":"1006.0294","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-06-02T05:02:22Z","cross_cats_sorted":[],"title_canon_sha256":"5f2fba2e6014dea0e2fedc2b766764fdd282ed61b39f265e5a539189934664ff","abstract_canon_sha256":"e243dbc28f00ad1d62158843b17878cf631eb3dd6f50b0c983fa5cf7410429cb"},"schema_version":"1.0"},"canonical_sha256":"60f33b0d9027d121cd358354dbe0df217514a9b346ee01644addb476ee3aa3f6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:13.361559Z","signature_b64":"AfL2Brev6Jn/JyW3snWUqr62vOTTxioj984AF5H5OZcZ/XD+TP7chtkFiUpTzNHSrUeeqTKXYn9sanpEUMiaAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60f33b0d9027d121cd358354dbe0df217514a9b346ee01644addb476ee3aa3f6","last_reissued_at":"2026-05-18T04:19:13.361082Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:13.361082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.0294","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:19:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f+PCqOgSTyf7iiqqwWM/N+QxID6iC1kf6zaZ0v4s/UBJT/0BK4B9wWyetKw11yCX5My+wAc5l3+U1RV5UNG/CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T12:12:13.366410Z"},"content_sha256":"f6687fbe313699c5c8bd36fa20f934357e216dbe75c1c7ef9b6c9ec629e91c95","schema_version":"1.0","event_id":"sha256:f6687fbe313699c5c8bd36fa20f934357e216dbe75c1c7ef9b6c9ec629e91c95"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:MDZTWDMQE7ISDTJVQNKNXYG7EF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Interplay of electron-phonon interaction and strong correlations: DMFT+Sigma approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"E.Z. Kuchinskii, I.A. Nekrasov, M.V. Sadovskii","submitted_at":"2010-06-02T05:02:22Z","abstract_excerpt":"We discuss interaction of strongly correlated electrons (described within the Hubbard model solved by dynamical mean-field theory (DMFT)) with Debye and Einstein phonons using recently developed DMFT+Sigma computational scheme. Electron-phonon interaction (EPI) is analyzed in adiabatic approximation (assuming the validity of Migdal theorem), allowing the neglect of EPI vertex corrections. This approach is valid for EPI coupling constant L < e_F/w_ph~10, where e_F is Fermi energy and w_ph is Debye or Einstein frequency. For moderate values of L only small changes in the electronic density of st"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.0294","kind":"arxiv","version":1},"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":"2026-05-18T04:19:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VEp4IcSS5HwZBAErXN40O6J2GyLs1YIvMVoJnIiI5NJ4Hv6oifRw11BHsvc+NUYHUD+e5CPik+Im5aaILEOXBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T12:12:13.367082Z"},"content_sha256":"71c0b4fd165dac5b8c394866477a7e0b1783e19e1258cb69991c634ee1ef8650","schema_version":"1.0","event_id":"sha256:71c0b4fd165dac5b8c394866477a7e0b1783e19e1258cb69991c634ee1ef8650"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MDZTWDMQE7ISDTJVQNKNXYG7EF/bundle.json","state_url":"https://pith.science/pith/MDZTWDMQE7ISDTJVQNKNXYG7EF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MDZTWDMQE7ISDTJVQNKNXYG7EF/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":"2026-05-30T12:12:13Z","links":{"resolver":"https://pith.science/pith/MDZTWDMQE7ISDTJVQNKNXYG7EF","bundle":"https://pith.science/pith/MDZTWDMQE7ISDTJVQNKNXYG7EF/bundle.json","state":"https://pith.science/pith/MDZTWDMQE7ISDTJVQNKNXYG7EF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MDZTWDMQE7ISDTJVQNKNXYG7EF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:MDZTWDMQE7ISDTJVQNKNXYG7EF","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":"e243dbc28f00ad1d62158843b17878cf631eb3dd6f50b0c983fa5cf7410429cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-06-02T05:02:22Z","title_canon_sha256":"5f2fba2e6014dea0e2fedc2b766764fdd282ed61b39f265e5a539189934664ff"},"schema_version":"1.0","source":{"id":"1006.0294","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.0294","created_at":"2026-05-18T04:19:13Z"},{"alias_kind":"arxiv_version","alias_value":"1006.0294v1","created_at":"2026-05-18T04:19:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.0294","created_at":"2026-05-18T04:19:13Z"},{"alias_kind":"pith_short_12","alias_value":"MDZTWDMQE7IS","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"MDZTWDMQE7ISDTJV","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"MDZTWDMQ","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:71c0b4fd165dac5b8c394866477a7e0b1783e19e1258cb69991c634ee1ef8650","target":"graph","created_at":"2026-05-18T04:19:13Z","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 discuss interaction of strongly correlated electrons (described within the Hubbard model solved by dynamical mean-field theory (DMFT)) with Debye and Einstein phonons using recently developed DMFT+Sigma computational scheme. Electron-phonon interaction (EPI) is analyzed in adiabatic approximation (assuming the validity of Migdal theorem), allowing the neglect of EPI vertex corrections. This approach is valid for EPI coupling constant L < e_F/w_ph~10, where e_F is Fermi energy and w_ph is Debye or Einstein frequency. For moderate values of L only small changes in the electronic density of st","authors_text":"E.Z. Kuchinskii, I.A. Nekrasov, M.V. Sadovskii","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-06-02T05:02:22Z","title":"Interplay of electron-phonon interaction and strong correlations: DMFT+Sigma approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.0294","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:f6687fbe313699c5c8bd36fa20f934357e216dbe75c1c7ef9b6c9ec629e91c95","target":"record","created_at":"2026-05-18T04:19:13Z","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":"e243dbc28f00ad1d62158843b17878cf631eb3dd6f50b0c983fa5cf7410429cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-06-02T05:02:22Z","title_canon_sha256":"5f2fba2e6014dea0e2fedc2b766764fdd282ed61b39f265e5a539189934664ff"},"schema_version":"1.0","source":{"id":"1006.0294","kind":"arxiv","version":1}},"canonical_sha256":"60f33b0d9027d121cd358354dbe0df217514a9b346ee01644addb476ee3aa3f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60f33b0d9027d121cd358354dbe0df217514a9b346ee01644addb476ee3aa3f6","first_computed_at":"2026-05-18T04:19:13.361082Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:13.361082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AfL2Brev6Jn/JyW3snWUqr62vOTTxioj984AF5H5OZcZ/XD+TP7chtkFiUpTzNHSrUeeqTKXYn9sanpEUMiaAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:13.361559Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.0294","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f6687fbe313699c5c8bd36fa20f934357e216dbe75c1c7ef9b6c9ec629e91c95","sha256:71c0b4fd165dac5b8c394866477a7e0b1783e19e1258cb69991c634ee1ef8650"],"state_sha256":"0f1919806cc383e78cf4f623bc241f2b4206d8679010f43392dc0e871e70a20c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pIuuieSHSNpduVojtPLKJFypdI3043zR5REldqN9x6eZFGc/AHDtVXtcW0Btiyf0cqlzuBjkuwTbbvrMx2qzBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T12:12:13.370988Z","bundle_sha256":"17ef8b9f7e94f4c528e88173d14a2913af3bf46a260e8a87c797f00ae58637e7"}}