{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:VDLPRNO45FPZQNNQ5VHSSUFMAM","short_pith_number":"pith:VDLPRNO4","canonical_record":{"source":{"id":"1109.3972","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-09-19T08:47:55Z","cross_cats_sorted":[],"title_canon_sha256":"d43cfdfeef76d74917636fbfe1baa754787903693049a623a53c2b2b2f9f46dc","abstract_canon_sha256":"6900fbd02ad90eeee860838545713f7d547d9710c89ea35414690f32fb609f30"},"schema_version":"1.0"},"canonical_sha256":"a8d6f8b5dce95f9835b0ed4f2950ac033c3572a3f932d1f547c3eb58981158cc","source":{"kind":"arxiv","id":"1109.3972","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3972","created_at":"2026-05-18T04:12:45Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3972v1","created_at":"2026-05-18T04:12:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3972","created_at":"2026-05-18T04:12:45Z"},{"alias_kind":"pith_short_12","alias_value":"VDLPRNO45FPZ","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"VDLPRNO45FPZQNNQ","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"VDLPRNO4","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:VDLPRNO45FPZQNNQ5VHSSUFMAM","target":"record","payload":{"canonical_record":{"source":{"id":"1109.3972","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-09-19T08:47:55Z","cross_cats_sorted":[],"title_canon_sha256":"d43cfdfeef76d74917636fbfe1baa754787903693049a623a53c2b2b2f9f46dc","abstract_canon_sha256":"6900fbd02ad90eeee860838545713f7d547d9710c89ea35414690f32fb609f30"},"schema_version":"1.0"},"canonical_sha256":"a8d6f8b5dce95f9835b0ed4f2950ac033c3572a3f932d1f547c3eb58981158cc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:45.451236Z","signature_b64":"Cu2/6ZRKFF2Edcz45Q7hRAWyCpQ2bfQYhf5pA6MQobX6lGJ+lTCHqp1mW44+OCZ2dZsGnKHzDYUl6cW3kDuKAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8d6f8b5dce95f9835b0ed4f2950ac033c3572a3f932d1f547c3eb58981158cc","last_reissued_at":"2026-05-18T04:12:45.450591Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:45.450591Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.3972","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":"2026-05-18T04:12:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5u6fz3qL4d88WhKG58JP50r7mVSaRbaMVQGu4Euy3KT23lEANntap1Jh01gyrYpbLKLnSqR1G6sEjszxFLTHCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:54:48.880270Z"},"content_sha256":"e26ccbb8947d6cb9a71c4ebd927a2d44a8b0acdf77f6f125ed3ae0bab26640f7","schema_version":"1.0","event_id":"sha256:e26ccbb8947d6cb9a71c4ebd927a2d44a8b0acdf77f6f125ed3ae0bab26640f7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:VDLPRNO45FPZQNNQ5VHSSUFMAM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hedin Equations, GW, GW+DMFT, and All That","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"A. Toschi, C. Taranto, G. Rohringer, K. Held","submitted_at":"2011-09-19T08:47:55Z","abstract_excerpt":"Historically, the GW approach was put forward by Hedin as the simplest approximation to the so-called Hedin equations. In Section 2, we will derive these Hedin equations from a Feynman-diagrammatical point of view. Section 3.1 shows how GW arises as an approximation to the Hedin equations. In Section 3.2, we briefly present some typical GW results for materials, including quasiparticle renormalizations, lifetimes, and band gap enhancements. In Section 4, the combination of GW and DMFT is summarized. Finally, as a prospective outlook, ab initio dynamical vertex approximation D$\\Gamma$A is intro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3972","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":"2026-05-18T04:12:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zJ2+Ua2XusUI1Q0Hn1PnTu3Xtektft4prdVoAHeEfxWsCxGUK1NrNjCZhCM2/2uxAGNFzt+GusmwhWWJlbUoCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:54:48.880826Z"},"content_sha256":"5cc718cd942450a8e9badb4f4cc543e25c8334d8188a9231dca0b00c282df0c2","schema_version":"1.0","event_id":"sha256:5cc718cd942450a8e9badb4f4cc543e25c8334d8188a9231dca0b00c282df0c2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VDLPRNO45FPZQNNQ5VHSSUFMAM/bundle.json","state_url":"https://pith.science/pith/VDLPRNO45FPZQNNQ5VHSSUFMAM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VDLPRNO45FPZQNNQ5VHSSUFMAM/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":"2026-05-26T12:54:48Z","links":{"resolver":"https://pith.science/pith/VDLPRNO45FPZQNNQ5VHSSUFMAM","bundle":"https://pith.science/pith/VDLPRNO45FPZQNNQ5VHSSUFMAM/bundle.json","state":"https://pith.science/pith/VDLPRNO45FPZQNNQ5VHSSUFMAM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VDLPRNO45FPZQNNQ5VHSSUFMAM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VDLPRNO45FPZQNNQ5VHSSUFMAM","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":"6900fbd02ad90eeee860838545713f7d547d9710c89ea35414690f32fb609f30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-09-19T08:47:55Z","title_canon_sha256":"d43cfdfeef76d74917636fbfe1baa754787903693049a623a53c2b2b2f9f46dc"},"schema_version":"1.0","source":{"id":"1109.3972","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3972","created_at":"2026-05-18T04:12:45Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3972v1","created_at":"2026-05-18T04:12:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3972","created_at":"2026-05-18T04:12:45Z"},{"alias_kind":"pith_short_12","alias_value":"VDLPRNO45FPZ","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"VDLPRNO45FPZQNNQ","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"VDLPRNO4","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:5cc718cd942450a8e9badb4f4cc543e25c8334d8188a9231dca0b00c282df0c2","target":"graph","created_at":"2026-05-18T04:12:45Z","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":"Historically, the GW approach was put forward by Hedin as the simplest approximation to the so-called Hedin equations. In Section 2, we will derive these Hedin equations from a Feynman-diagrammatical point of view. Section 3.1 shows how GW arises as an approximation to the Hedin equations. In Section 3.2, we briefly present some typical GW results for materials, including quasiparticle renormalizations, lifetimes, and band gap enhancements. In Section 4, the combination of GW and DMFT is summarized. Finally, as a prospective outlook, ab initio dynamical vertex approximation D$\\Gamma$A is intro","authors_text":"A. Toschi, C. Taranto, G. Rohringer, K. Held","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-09-19T08:47:55Z","title":"Hedin Equations, GW, GW+DMFT, and All That"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3972","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:e26ccbb8947d6cb9a71c4ebd927a2d44a8b0acdf77f6f125ed3ae0bab26640f7","target":"record","created_at":"2026-05-18T04:12:45Z","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":"6900fbd02ad90eeee860838545713f7d547d9710c89ea35414690f32fb609f30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-09-19T08:47:55Z","title_canon_sha256":"d43cfdfeef76d74917636fbfe1baa754787903693049a623a53c2b2b2f9f46dc"},"schema_version":"1.0","source":{"id":"1109.3972","kind":"arxiv","version":1}},"canonical_sha256":"a8d6f8b5dce95f9835b0ed4f2950ac033c3572a3f932d1f547c3eb58981158cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8d6f8b5dce95f9835b0ed4f2950ac033c3572a3f932d1f547c3eb58981158cc","first_computed_at":"2026-05-18T04:12:45.450591Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:45.450591Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Cu2/6ZRKFF2Edcz45Q7hRAWyCpQ2bfQYhf5pA6MQobX6lGJ+lTCHqp1mW44+OCZ2dZsGnKHzDYUl6cW3kDuKAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:45.451236Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.3972","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e26ccbb8947d6cb9a71c4ebd927a2d44a8b0acdf77f6f125ed3ae0bab26640f7","sha256:5cc718cd942450a8e9badb4f4cc543e25c8334d8188a9231dca0b00c282df0c2"],"state_sha256":"46aa5b7c0ed1f2c330e2a2a11a9b917b96d5bb59bd8faf59f4eeed3d10653e6b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ew6XrvE+tIhOj8jLzL959dqs97X8KSdtosKq4Ru+CVEtxTdN+oPisSapY1EwSkQ/p03UNKN+sqVWeQ+8fbU8BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T12:54:48.884140Z","bundle_sha256":"7af44eefa3323a3dbd1fbfd2e61f695f61dbb4f447adb785ab1a7c4b1ae1bcfc"}}