{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:ZBPKVXSMQBEK2VIK4MUK6B7XGJ","short_pith_number":"pith:ZBPKVXSM","canonical_record":{"source":{"id":"1205.4274","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-05-18T22:01:39Z","cross_cats_sorted":[],"title_canon_sha256":"df714b3ce38349330f42249f55f602030b5fc9834d131be5c291609c077a19ae","abstract_canon_sha256":"bdc07f28271fe9ffa4cd778b559c7edc0871117fdce717993475f91ab9ee134c"},"schema_version":"1.0"},"canonical_sha256":"c85eaade4c8048ad550ae328af07f7324036597b4ee16b2e6489af1938f4fc74","source":{"kind":"arxiv","id":"1205.4274","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.4274","created_at":"2026-05-18T01:33:07Z"},{"alias_kind":"arxiv_version","alias_value":"1205.4274v1","created_at":"2026-05-18T01:33:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.4274","created_at":"2026-05-18T01:33:07Z"},{"alias_kind":"pith_short_12","alias_value":"ZBPKVXSMQBEK","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZBPKVXSMQBEK2VIK","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZBPKVXSM","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:ZBPKVXSMQBEK2VIK4MUK6B7XGJ","target":"record","payload":{"canonical_record":{"source":{"id":"1205.4274","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-05-18T22:01:39Z","cross_cats_sorted":[],"title_canon_sha256":"df714b3ce38349330f42249f55f602030b5fc9834d131be5c291609c077a19ae","abstract_canon_sha256":"bdc07f28271fe9ffa4cd778b559c7edc0871117fdce717993475f91ab9ee134c"},"schema_version":"1.0"},"canonical_sha256":"c85eaade4c8048ad550ae328af07f7324036597b4ee16b2e6489af1938f4fc74","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:33:07.140430Z","signature_b64":"VCyJBcfn7fWTeLfiZoH3gSpYO/t/zN/vy+sjqiMar5kUN8sICxiCkJuhoWAxuWIJpNwoPz2vaB6GljBNGA5VDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c85eaade4c8048ad550ae328af07f7324036597b4ee16b2e6489af1938f4fc74","last_reissued_at":"2026-05-18T01:33:07.139925Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:33:07.139925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.4274","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":"2026-05-18T01:33:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"87rwBKGjDv3iMlyVy+jkGvv6YXg6xNGR/landAN/8GkqbN20MjjJZbEW7I3mT/WWLCZc4aSdXCygLVaYQz0TAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:55:54.871692Z"},"content_sha256":"9f32b5e0c82b6b7fd3b4ff2293b43985f228130f8e201569d254769fcdae3389","schema_version":"1.0","event_id":"sha256:9f32b5e0c82b6b7fd3b4ff2293b43985f228130f8e201569d254769fcdae3389"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:ZBPKVXSMQBEK2VIK4MUK6B7XGJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multiplicity of solutions to GW-type approximations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"E. K. U. Gross, F. Tandetzky, J. K. Dewhurst, S. Sharma","submitted_at":"2012-05-18T22:01:39Z","abstract_excerpt":"We show that the equations underlying the $GW$ approximation have a large number of solutions. This raises the question: which is the physical solution? We provide two theorems which explain why the methods currently in use do, in fact, find the correct solution. These theorems are general enough to cover a large class of similar algorithms. An efficient algorithm for including self-consistent vertex corrections well beyond $GW$ is also described and further used in numerical validation of the two theorems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.4274","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":"2026-05-18T01:33:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XuL6oCRnrm1SPYHUHE+/FgNPctHEvJmxDSowewxi9Xg5/I+MhmdqQGFvyQfxOzD0Sqno5gCs8humXaBsZ2bnCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:55:54.872418Z"},"content_sha256":"f08dd30296c1e2d41b4fb8130062c6f49f4767de6f509498f0fe00c33f1461ef","schema_version":"1.0","event_id":"sha256:f08dd30296c1e2d41b4fb8130062c6f49f4767de6f509498f0fe00c33f1461ef"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZBPKVXSMQBEK2VIK4MUK6B7XGJ/bundle.json","state_url":"https://pith.science/pith/ZBPKVXSMQBEK2VIK4MUK6B7XGJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZBPKVXSMQBEK2VIK4MUK6B7XGJ/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":"2026-05-31T21:55:54Z","links":{"resolver":"https://pith.science/pith/ZBPKVXSMQBEK2VIK4MUK6B7XGJ","bundle":"https://pith.science/pith/ZBPKVXSMQBEK2VIK4MUK6B7XGJ/bundle.json","state":"https://pith.science/pith/ZBPKVXSMQBEK2VIK4MUK6B7XGJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZBPKVXSMQBEK2VIK4MUK6B7XGJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ZBPKVXSMQBEK2VIK4MUK6B7XGJ","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":"bdc07f28271fe9ffa4cd778b559c7edc0871117fdce717993475f91ab9ee134c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-05-18T22:01:39Z","title_canon_sha256":"df714b3ce38349330f42249f55f602030b5fc9834d131be5c291609c077a19ae"},"schema_version":"1.0","source":{"id":"1205.4274","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.4274","created_at":"2026-05-18T01:33:07Z"},{"alias_kind":"arxiv_version","alias_value":"1205.4274v1","created_at":"2026-05-18T01:33:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.4274","created_at":"2026-05-18T01:33:07Z"},{"alias_kind":"pith_short_12","alias_value":"ZBPKVXSMQBEK","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZBPKVXSMQBEK2VIK","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZBPKVXSM","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:f08dd30296c1e2d41b4fb8130062c6f49f4767de6f509498f0fe00c33f1461ef","target":"graph","created_at":"2026-05-18T01:33:07Z","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 show that the equations underlying the $GW$ approximation have a large number of solutions. This raises the question: which is the physical solution? We provide two theorems which explain why the methods currently in use do, in fact, find the correct solution. These theorems are general enough to cover a large class of similar algorithms. An efficient algorithm for including self-consistent vertex corrections well beyond $GW$ is also described and further used in numerical validation of the two theorems.","authors_text":"E. K. U. Gross, F. Tandetzky, J. K. Dewhurst, S. Sharma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-05-18T22:01:39Z","title":"Multiplicity of solutions to GW-type approximations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.4274","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":"sha256:9f32b5e0c82b6b7fd3b4ff2293b43985f228130f8e201569d254769fcdae3389","target":"record","created_at":"2026-05-18T01:33:07Z","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":"bdc07f28271fe9ffa4cd778b559c7edc0871117fdce717993475f91ab9ee134c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-05-18T22:01:39Z","title_canon_sha256":"df714b3ce38349330f42249f55f602030b5fc9834d131be5c291609c077a19ae"},"schema_version":"1.0","source":{"id":"1205.4274","kind":"arxiv","version":1}},"canonical_sha256":"c85eaade4c8048ad550ae328af07f7324036597b4ee16b2e6489af1938f4fc74","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c85eaade4c8048ad550ae328af07f7324036597b4ee16b2e6489af1938f4fc74","first_computed_at":"2026-05-18T01:33:07.139925Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:33:07.139925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VCyJBcfn7fWTeLfiZoH3gSpYO/t/zN/vy+sjqiMar5kUN8sICxiCkJuhoWAxuWIJpNwoPz2vaB6GljBNGA5VDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:33:07.140430Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.4274","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9f32b5e0c82b6b7fd3b4ff2293b43985f228130f8e201569d254769fcdae3389","sha256:f08dd30296c1e2d41b4fb8130062c6f49f4767de6f509498f0fe00c33f1461ef"],"state_sha256":"ccbccef6612e281bf3ce06586674992e7559cf87e5b49bcc0979928748f6dcff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"APBAWyiZF/s2XY4c00mo3MWNbHZIDbs7nwUao2sTEKkfNcrfsMiGPyVGTElH3tZq9EZcIQVO+rftflB8Ta/MBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T21:55:54.876255Z","bundle_sha256":"7629e63bd4ad68e06a4e63ea796d51cfa6f1920b7e826d64bc71f7433298810a"}}