{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:EUBLHFCZVM3J2PGZVWRIW64CGO","short_pith_number":"pith:EUBLHFCZ","canonical_record":{"source":{"id":"2607.15695","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2026-07-17T07:15:01Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"18c212300ce725090d1dd8a8a095f840aae9fe6747d46e0d6ca73cd4bc554559","abstract_canon_sha256":"0680d0d4276c9f85106cd65db333986d02ba8a00f4ddb3107b2397c54ac380ae"},"schema_version":"1.0"},"canonical_sha256":"2502b39459ab369d3cd9ada28b7b823397b7b0a03127bd824493734242bf0e29","source":{"kind":"arxiv","id":"2607.15695","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.15695","created_at":"2026-07-20T01:19:04Z"},{"alias_kind":"arxiv_version","alias_value":"2607.15695v1","created_at":"2026-07-20T01:19:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.15695","created_at":"2026-07-20T01:19:04Z"},{"alias_kind":"pith_short_12","alias_value":"EUBLHFCZVM3J","created_at":"2026-07-20T01:19:04Z"},{"alias_kind":"pith_short_16","alias_value":"EUBLHFCZVM3J2PGZ","created_at":"2026-07-20T01:19:04Z"},{"alias_kind":"pith_short_8","alias_value":"EUBLHFCZ","created_at":"2026-07-20T01:19:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:EUBLHFCZVM3J2PGZVWRIW64CGO","target":"record","payload":{"canonical_record":{"source":{"id":"2607.15695","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2026-07-17T07:15:01Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"18c212300ce725090d1dd8a8a095f840aae9fe6747d46e0d6ca73cd4bc554559","abstract_canon_sha256":"0680d0d4276c9f85106cd65db333986d02ba8a00f4ddb3107b2397c54ac380ae"},"schema_version":"1.0"},"canonical_sha256":"2502b39459ab369d3cd9ada28b7b823397b7b0a03127bd824493734242bf0e29","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-20T01:19:04.767443Z","signature_b64":"2XPidK33ddzIql9rT8R4ndxb2x63Nv1Dv8HTeGgbEoYnm7IgIkWkmbiu6Mrtx2++iN9mA2NtmZg24VqVA8c1Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2502b39459ab369d3cd9ada28b7b823397b7b0a03127bd824493734242bf0e29","last_reissued_at":"2026-07-20T01:19:04.766572Z","signature_status":"signed_v1","first_computed_at":"2026-07-20T01:19:04.766572Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.15695","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":"2026-07-20T01:19:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PBlHGEFFdYA31Gb0uMgDZs23AbkfFu91Njn55aEkwrrmlvNqBl/r4GYQLQ1tcZzP7c+5I3A3nbdsNnxYZT92CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T17:04:28.038954Z"},"content_sha256":"316cce4eb18b10aa6c6579afc0847551a58e164e4ab5aef695851cd9b289c9b6","schema_version":"1.0","event_id":"sha256:316cce4eb18b10aa6c6579afc0847551a58e164e4ab5aef695851cd9b289c9b6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:EUBLHFCZVM3J2PGZVWRIW64CGO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$GW$ reduced density matrix from iterated linearized Dyson equation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"physics.chem-ph","authors_text":"Arno F\\\"orster, Erik Verzijl, Fabien Bruneval, Mauricio Rodriguez-Mayorga","submitted_at":"2026-07-17T07:15:01Z","abstract_excerpt":"Iterating the Dyson equation with the static part of the self-energy leads to a concise and possibly improved expression of the one-body reduced density matrix from any self-energy approximation. Here we apply the procedure to Hedin's $GW$ approximation. The non-iterated $GW$ based density matrix was already known to yield accurate density matrices for molecular systems. We show that the Dyson-equation-based procedure is equivalent to the so-called variational Z-vector approach applied to the Random-Phase approximation energy functional, but only in the case of a Hartree-Fock mean-field starti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.15695","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.15695/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-20T01:19:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Eot9MKrDRunT4zezje0U/3s+kFQcy1RKudY1H+lfe8F3nED7DxgH8Ldg1ECLk3yZkXIsdyxK2WPU/R40FjfoCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T17:04:28.039461Z"},"content_sha256":"abc07568be6f865aff26a75ee7082bccdf519170fbeea4714e6d545ded359d10","schema_version":"1.0","event_id":"sha256:abc07568be6f865aff26a75ee7082bccdf519170fbeea4714e6d545ded359d10"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EUBLHFCZVM3J2PGZVWRIW64CGO/bundle.json","state_url":"https://pith.science/pith/EUBLHFCZVM3J2PGZVWRIW64CGO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EUBLHFCZVM3J2PGZVWRIW64CGO/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":"2026-08-02T17:04:28Z","links":{"resolver":"https://pith.science/pith/EUBLHFCZVM3J2PGZVWRIW64CGO","bundle":"https://pith.science/pith/EUBLHFCZVM3J2PGZVWRIW64CGO/bundle.json","state":"https://pith.science/pith/EUBLHFCZVM3J2PGZVWRIW64CGO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EUBLHFCZVM3J2PGZVWRIW64CGO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:EUBLHFCZVM3J2PGZVWRIW64CGO","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":"0680d0d4276c9f85106cd65db333986d02ba8a00f4ddb3107b2397c54ac380ae","cross_cats_sorted":["physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2026-07-17T07:15:01Z","title_canon_sha256":"18c212300ce725090d1dd8a8a095f840aae9fe6747d46e0d6ca73cd4bc554559"},"schema_version":"1.0","source":{"id":"2607.15695","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.15695","created_at":"2026-07-20T01:19:04Z"},{"alias_kind":"arxiv_version","alias_value":"2607.15695v1","created_at":"2026-07-20T01:19:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.15695","created_at":"2026-07-20T01:19:04Z"},{"alias_kind":"pith_short_12","alias_value":"EUBLHFCZVM3J","created_at":"2026-07-20T01:19:04Z"},{"alias_kind":"pith_short_16","alias_value":"EUBLHFCZVM3J2PGZ","created_at":"2026-07-20T01:19:04Z"},{"alias_kind":"pith_short_8","alias_value":"EUBLHFCZ","created_at":"2026-07-20T01:19:04Z"}],"graph_snapshots":[{"event_id":"sha256:abc07568be6f865aff26a75ee7082bccdf519170fbeea4714e6d545ded359d10","target":"graph","created_at":"2026-07-20T01:19:04Z","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/2607.15695/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Iterating the Dyson equation with the static part of the self-energy leads to a concise and possibly improved expression of the one-body reduced density matrix from any self-energy approximation. Here we apply the procedure to Hedin's $GW$ approximation. The non-iterated $GW$ based density matrix was already known to yield accurate density matrices for molecular systems. We show that the Dyson-equation-based procedure is equivalent to the so-called variational Z-vector approach applied to the Random-Phase approximation energy functional, but only in the case of a Hartree-Fock mean-field starti","authors_text":"Arno F\\\"orster, Erik Verzijl, Fabien Bruneval, Mauricio Rodriguez-Mayorga","cross_cats":["physics.comp-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2026-07-17T07:15:01Z","title":"$GW$ reduced density matrix from iterated linearized Dyson equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.15695","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":"sha256:316cce4eb18b10aa6c6579afc0847551a58e164e4ab5aef695851cd9b289c9b6","target":"record","created_at":"2026-07-20T01:19:04Z","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":"0680d0d4276c9f85106cd65db333986d02ba8a00f4ddb3107b2397c54ac380ae","cross_cats_sorted":["physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2026-07-17T07:15:01Z","title_canon_sha256":"18c212300ce725090d1dd8a8a095f840aae9fe6747d46e0d6ca73cd4bc554559"},"schema_version":"1.0","source":{"id":"2607.15695","kind":"arxiv","version":1}},"canonical_sha256":"2502b39459ab369d3cd9ada28b7b823397b7b0a03127bd824493734242bf0e29","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2502b39459ab369d3cd9ada28b7b823397b7b0a03127bd824493734242bf0e29","first_computed_at":"2026-07-20T01:19:04.766572Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-20T01:19:04.766572Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2XPidK33ddzIql9rT8R4ndxb2x63Nv1Dv8HTeGgbEoYnm7IgIkWkmbiu6Mrtx2++iN9mA2NtmZg24VqVA8c1Bw==","signature_status":"signed_v1","signed_at":"2026-07-20T01:19:04.767443Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.15695","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:316cce4eb18b10aa6c6579afc0847551a58e164e4ab5aef695851cd9b289c9b6","sha256:abc07568be6f865aff26a75ee7082bccdf519170fbeea4714e6d545ded359d10"],"state_sha256":"cb7fd85774eea7799ba739c20bac14832a5c5c374b71728a7561ab34d3986fae"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6WT0voMZV45FvODTCDo+bJlSU4KPoieBsL7nbH5MpPfCgzlXkBbCxXZ/9mLinbs+76+F9kiv9xVXySEY+lI/BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-02T17:04:28.043006Z","bundle_sha256":"04984fa83cc764f74aafb19062d08e8a8aecfa4ea404ede9f87234364881f3f5"}}