{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:SAG3SV6PCK5GIHDURUL5IRBWZM","short_pith_number":"pith:SAG3SV6P","canonical_record":{"source":{"id":"1802.02340","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-02-07T08:14:05Z","cross_cats_sorted":[],"title_canon_sha256":"51f0b87602fb056bf8b59fdb32d8c02bb9a612405c1df8b18f569c76f522c7d3","abstract_canon_sha256":"37ec9443dcb9519c09139d7ff8a7dac5adbbce9ffd1f4c59d3a858d461a01656"},"schema_version":"1.0"},"canonical_sha256":"900db957cf12ba641c748d17d44436cb2103a34230e5ae1eb2d384f0c170e824","source":{"kind":"arxiv","id":"1802.02340","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.02340","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"arxiv_version","alias_value":"1802.02340v2","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.02340","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"pith_short_12","alias_value":"SAG3SV6PCK5G","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"SAG3SV6PCK5GIHDU","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"SAG3SV6P","created_at":"2026-05-18T12:32:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:SAG3SV6PCK5GIHDURUL5IRBWZM","target":"record","payload":{"canonical_record":{"source":{"id":"1802.02340","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-02-07T08:14:05Z","cross_cats_sorted":[],"title_canon_sha256":"51f0b87602fb056bf8b59fdb32d8c02bb9a612405c1df8b18f569c76f522c7d3","abstract_canon_sha256":"37ec9443dcb9519c09139d7ff8a7dac5adbbce9ffd1f4c59d3a858d461a01656"},"schema_version":"1.0"},"canonical_sha256":"900db957cf12ba641c748d17d44436cb2103a34230e5ae1eb2d384f0c170e824","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:17.659686Z","signature_b64":"Wg+HPCxpuZhBEvdg7HmKnNB2QSiydOokXV93fF/RjC/z3DOtvnGz4Dt59oC9+Oskfjqxgs6Q9yck7/xO/QTADg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"900db957cf12ba641c748d17d44436cb2103a34230e5ae1eb2d384f0c170e824","last_reissued_at":"2026-05-17T23:59:17.659230Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:17.659230Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.02340","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:59:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1+MnE7ngOeP9tYWBMYoA3dBNu1WuTL6TEuWjNraSyCRR4GXWSRRPgY66mQQfADyoQxywkdk7lQECTSS9on8wDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T02:09:43.570683Z"},"content_sha256":"829dc985e0bc50d3c60df036b6227fc4adb676eccaf6aa44c07bf329b2403c90","schema_version":"1.0","event_id":"sha256:829dc985e0bc50d3c60df036b6227fc4adb676eccaf6aa44c07bf329b2403c90"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:SAG3SV6PCK5GIHDURUL5IRBWZM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Natural Orbital-Based Lanczos Method for Anderson Impurity Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Li Huang, Ning-Hua Tong, Sheng Bi","submitted_at":"2018-02-07T08:14:05Z","abstract_excerpt":"We implement the Lanczos algorithm on natural orbital basis to solve the zero-temperature Green's function of Anderson impurity models, following the work of Y. Lu, M. H\\\"{o}ppner, O. Gunnarsson, and M. W. Haverkort, Phys. Rev. B {\\bf 90} (2014) 085102. We present the technical details, generalize the algorithm to the cases of particle-hole asymmetry, with local magnetic field, and of two impurities. The results are benchmarked with conventional Lanczos, quantum Monte Carlo, and numerical renormalization group methods, demonstrating its potential as a powerful impurity solver for the dynamical"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.02340","kind":"arxiv","version":2},"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":"2026-05-17T23:59:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IWWFHWp186aCFAdJ0/YO1bv00T6+LE6mTny2I7Tji5AVp6fI8KAgg8zaakFltRJS3ZTbTW0pQLZ58YK9ybANAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T02:09:43.571036Z"},"content_sha256":"3a8d638633e024cd55da145883f9a090eb2c07bce3a1b3d5299eceab3f252ece","schema_version":"1.0","event_id":"sha256:3a8d638633e024cd55da145883f9a090eb2c07bce3a1b3d5299eceab3f252ece"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SAG3SV6PCK5GIHDURUL5IRBWZM/bundle.json","state_url":"https://pith.science/pith/SAG3SV6PCK5GIHDURUL5IRBWZM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SAG3SV6PCK5GIHDURUL5IRBWZM/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":"2026-05-31T02:09:43Z","links":{"resolver":"https://pith.science/pith/SAG3SV6PCK5GIHDURUL5IRBWZM","bundle":"https://pith.science/pith/SAG3SV6PCK5GIHDURUL5IRBWZM/bundle.json","state":"https://pith.science/pith/SAG3SV6PCK5GIHDURUL5IRBWZM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SAG3SV6PCK5GIHDURUL5IRBWZM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:SAG3SV6PCK5GIHDURUL5IRBWZM","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":"37ec9443dcb9519c09139d7ff8a7dac5adbbce9ffd1f4c59d3a858d461a01656","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-02-07T08:14:05Z","title_canon_sha256":"51f0b87602fb056bf8b59fdb32d8c02bb9a612405c1df8b18f569c76f522c7d3"},"schema_version":"1.0","source":{"id":"1802.02340","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.02340","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"arxiv_version","alias_value":"1802.02340v2","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.02340","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"pith_short_12","alias_value":"SAG3SV6PCK5G","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"SAG3SV6PCK5GIHDU","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"SAG3SV6P","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:3a8d638633e024cd55da145883f9a090eb2c07bce3a1b3d5299eceab3f252ece","target":"graph","created_at":"2026-05-17T23:59:17Z","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 implement the Lanczos algorithm on natural orbital basis to solve the zero-temperature Green's function of Anderson impurity models, following the work of Y. Lu, M. H\\\"{o}ppner, O. Gunnarsson, and M. W. Haverkort, Phys. Rev. B {\\bf 90} (2014) 085102. We present the technical details, generalize the algorithm to the cases of particle-hole asymmetry, with local magnetic field, and of two impurities. The results are benchmarked with conventional Lanczos, quantum Monte Carlo, and numerical renormalization group methods, demonstrating its potential as a powerful impurity solver for the dynamical","authors_text":"Li Huang, Ning-Hua Tong, Sheng Bi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-02-07T08:14:05Z","title":"Natural Orbital-Based Lanczos Method for Anderson Impurity Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.02340","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":"sha256:829dc985e0bc50d3c60df036b6227fc4adb676eccaf6aa44c07bf329b2403c90","target":"record","created_at":"2026-05-17T23:59:17Z","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":"37ec9443dcb9519c09139d7ff8a7dac5adbbce9ffd1f4c59d3a858d461a01656","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-02-07T08:14:05Z","title_canon_sha256":"51f0b87602fb056bf8b59fdb32d8c02bb9a612405c1df8b18f569c76f522c7d3"},"schema_version":"1.0","source":{"id":"1802.02340","kind":"arxiv","version":2}},"canonical_sha256":"900db957cf12ba641c748d17d44436cb2103a34230e5ae1eb2d384f0c170e824","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"900db957cf12ba641c748d17d44436cb2103a34230e5ae1eb2d384f0c170e824","first_computed_at":"2026-05-17T23:59:17.659230Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:17.659230Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Wg+HPCxpuZhBEvdg7HmKnNB2QSiydOokXV93fF/RjC/z3DOtvnGz4Dt59oC9+Oskfjqxgs6Q9yck7/xO/QTADg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:17.659686Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.02340","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:829dc985e0bc50d3c60df036b6227fc4adb676eccaf6aa44c07bf329b2403c90","sha256:3a8d638633e024cd55da145883f9a090eb2c07bce3a1b3d5299eceab3f252ece"],"state_sha256":"cba1fb9904f0415da4eab3f32368db32bc40ec78300823d993d2026d8b286f69"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mcf/FsGmJFg4HAsfgkLnouH6BIDwaUEonLHSKthZWonny+h8qqeBy8sIov5oRW/kgZzGci1soln/xlWNGlojCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T02:09:43.573100Z","bundle_sha256":"18a2272a5c070798fa53859b7411860fa4dcd6408c8427bfe47c466470d816a3"}}