{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:KOL2OQ7PZQBCHHCMIZM4C5N6YI","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":"826c4e2426e6b9e9312ac4c587901ce6a58fc0f9fa679be9c5e1a3c7a055c3be","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2020-01-30T23:27:12Z","title_canon_sha256":"dfc45fd574341ca6e27e3a6c7ff596a8aa7b7de83981e4da4b7ab4c4170133de"},"schema_version":"1.0","source":{"id":"2001.11603","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2001.11603","created_at":"2026-07-05T00:52:52Z"},{"alias_kind":"arxiv_version","alias_value":"2001.11603v2","created_at":"2026-07-05T00:52:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.11603","created_at":"2026-07-05T00:52:52Z"},{"alias_kind":"pith_short_12","alias_value":"KOL2OQ7PZQBC","created_at":"2026-07-05T00:52:52Z"},{"alias_kind":"pith_short_16","alias_value":"KOL2OQ7PZQBCHHCM","created_at":"2026-07-05T00:52:52Z"},{"alias_kind":"pith_short_8","alias_value":"KOL2OQ7P","created_at":"2026-07-05T00:52:52Z"}],"graph_snapshots":[{"event_id":"sha256:311ad41cc85202bcf7f802b701319231f148877cb0bc658454aceb8cb33e4221","target":"graph","created_at":"2026-07-05T00:52:52Z","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/2001.11603/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantum many-body systems in thermal equilibrium can be described by the imaginary time Green's function formalism. However, the treatment of large molecular or solid ab inito problems with a fully realistic Hamiltonian in large basis sets is hampered by the storage of the Green's function and the precision of the solution of the Dyson equation. We present a Legendre-spectral algorithm for solving the Dyson equation that addresses both of these issues. By formulating the algorithm in Legendre coefficient space, our method inherits the known faster-than-exponential convergence of the Green's fu","authors_text":"Dominika Zgid, Emanuel Gull, Hugo U.R. Strand, Xinyang Dong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2020-01-30T23:27:12Z","title":"Legendre-spectral Dyson equation solver with super-exponential convergence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.11603","kind":"arxiv","version":2},"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":"sha256:0dbc2fd187b40b6598cce9093718cab6fd77663e6c9eababd6bf3a74277f9516","target":"record","created_at":"2026-07-05T00:52:52Z","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":"826c4e2426e6b9e9312ac4c587901ce6a58fc0f9fa679be9c5e1a3c7a055c3be","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2020-01-30T23:27:12Z","title_canon_sha256":"dfc45fd574341ca6e27e3a6c7ff596a8aa7b7de83981e4da4b7ab4c4170133de"},"schema_version":"1.0","source":{"id":"2001.11603","kind":"arxiv","version":2}},"canonical_sha256":"5397a743efcc02239c4c4659c175bec22424941e4169118998a0f7948f63c86f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5397a743efcc02239c4c4659c175bec22424941e4169118998a0f7948f63c86f","first_computed_at":"2026-07-05T00:52:52.168707Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:52:52.168707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XKBMa/yRQAJevxFJi1LQ80SW5Fagg7kgq6nGlXahQnaXKGyyQkn7OLeqwUtwrEd4bci1FW3w9JW4mV/WecYoBw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:52:52.169144Z","signed_message":"canonical_sha256_bytes"},"source_id":"2001.11603","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0dbc2fd187b40b6598cce9093718cab6fd77663e6c9eababd6bf3a74277f9516","sha256:311ad41cc85202bcf7f802b701319231f148877cb0bc658454aceb8cb33e4221"],"state_sha256":"f4a6d11f4607215900293718865db6744fb1919ccb9ae19a9cf42c7d748c0dd7"}