{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:3HVCUAD57QCRRV34VGQLGATT32","short_pith_number":"pith:3HVCUAD5","canonical_record":{"source":{"id":"cond-mat/9909352","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"1999-09-23T17:12:06Z","cross_cats_sorted":[],"title_canon_sha256":"c0fd210b039681c1168c3bf178921030e008d40a3d5fc4437dc66fbf9d1e0d8c","abstract_canon_sha256":"5fd9efe87390556f6da3d06fdcf5fb995a48d9e2ef1755f37a26aafb5cc3d49a"},"schema_version":"1.0"},"canonical_sha256":"d9ea2a007dfc0518d77ca9a0b30273debb78506249906c9c32c2d798422ecd40","source":{"kind":"arxiv","id":"cond-mat/9909352","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9909352","created_at":"2026-07-04T16:13:18Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9909352v1","created_at":"2026-07-04T16:13:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9909352","created_at":"2026-07-04T16:13:18Z"},{"alias_kind":"pith_short_12","alias_value":"3HVCUAD57QCR","created_at":"2026-07-04T16:13:18Z"},{"alias_kind":"pith_short_16","alias_value":"3HVCUAD57QCRRV34","created_at":"2026-07-04T16:13:18Z"},{"alias_kind":"pith_short_8","alias_value":"3HVCUAD5","created_at":"2026-07-04T16:13:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:3HVCUAD57QCRRV34VGQLGATT32","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/9909352","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"1999-09-23T17:12:06Z","cross_cats_sorted":[],"title_canon_sha256":"c0fd210b039681c1168c3bf178921030e008d40a3d5fc4437dc66fbf9d1e0d8c","abstract_canon_sha256":"5fd9efe87390556f6da3d06fdcf5fb995a48d9e2ef1755f37a26aafb5cc3d49a"},"schema_version":"1.0"},"canonical_sha256":"d9ea2a007dfc0518d77ca9a0b30273debb78506249906c9c32c2d798422ecd40","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:13:18.648732Z","signature_b64":"bLhn3SD9ENWNJnAVdXjnmH5aJSoZpWgOIdbBE9kG6FVkn0jZqukag8Q4fzppTQp80mCDj8h/rSlGzab9T34NAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d9ea2a007dfc0518d77ca9a0b30273debb78506249906c9c32c2d798422ecd40","last_reissued_at":"2026-07-04T16:13:18.648302Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:13:18.648302Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/9909352","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":"2026-07-04T16:13:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z9D9NTYyByraKWxWacbE8sGAF0BoD77Rv5nOm7W6FMJtPhix611e3c38LD7zOK8D3NPPejaKCZHv3ZXzY33AAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T13:45:10.422886Z"},"content_sha256":"767d906a81c46b2403c5a1ddafbf81b5fd986179c66ce5880a396add3787b33c","schema_version":"1.0","event_id":"sha256:767d906a81c46b2403c5a1ddafbf81b5fd986179c66ce5880a396add3787b33c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:3HVCUAD57QCRRV34VGQLGATT32","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Strong coupling theory for the Hubbard model","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"A. Dorneich, C. Groeber, M. G. Zacher, R. Eder","submitted_at":"1999-09-23T17:12:06Z","abstract_excerpt":"We reanalyze the Hubbard-I approximation by showing that it is equivalent to an effective Hamiltonian describing Fermionic charge fluctuations, which can be solved by Bogoliubov transformation. As the most important correction in the limit of large U and weak spin correlations we augment this Hamiltonian by further effective particles, which describe composite objects of a Fermionic charge fluctuation and a spin-, density- or eta- excitation. The scheme is valid for positive and negative U. We present results for the single particle Green's function for the two-dimensional Hubbard model with a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9909352","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/cond-mat/9909352/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":"2026-07-04T16:13:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uwsShBK8+uqGt7Rp77slInRWmYnQXS5YW1scA+LZUWZyQ4mRPdhJW/oYoatiXc6ZBisw91jYBQ5vkRCUT8fEAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T13:45:10.423256Z"},"content_sha256":"a1448959ccd1f74e70e703b938a016b0c037d79204a5c71517b26db29631b0ba","schema_version":"1.0","event_id":"sha256:a1448959ccd1f74e70e703b938a016b0c037d79204a5c71517b26db29631b0ba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3HVCUAD57QCRRV34VGQLGATT32/bundle.json","state_url":"https://pith.science/pith/3HVCUAD57QCRRV34VGQLGATT32/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3HVCUAD57QCRRV34VGQLGATT32/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":"2026-07-06T13:45:10Z","links":{"resolver":"https://pith.science/pith/3HVCUAD57QCRRV34VGQLGATT32","bundle":"https://pith.science/pith/3HVCUAD57QCRRV34VGQLGATT32/bundle.json","state":"https://pith.science/pith/3HVCUAD57QCRRV34VGQLGATT32/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3HVCUAD57QCRRV34VGQLGATT32/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:3HVCUAD57QCRRV34VGQLGATT32","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":"5fd9efe87390556f6da3d06fdcf5fb995a48d9e2ef1755f37a26aafb5cc3d49a","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.str-el","submitted_at":"1999-09-23T17:12:06Z","title_canon_sha256":"c0fd210b039681c1168c3bf178921030e008d40a3d5fc4437dc66fbf9d1e0d8c"},"schema_version":"1.0","source":{"id":"cond-mat/9909352","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9909352","created_at":"2026-07-04T16:13:18Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9909352v1","created_at":"2026-07-04T16:13:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9909352","created_at":"2026-07-04T16:13:18Z"},{"alias_kind":"pith_short_12","alias_value":"3HVCUAD57QCR","created_at":"2026-07-04T16:13:18Z"},{"alias_kind":"pith_short_16","alias_value":"3HVCUAD57QCRRV34","created_at":"2026-07-04T16:13:18Z"},{"alias_kind":"pith_short_8","alias_value":"3HVCUAD5","created_at":"2026-07-04T16:13:18Z"}],"graph_snapshots":[{"event_id":"sha256:a1448959ccd1f74e70e703b938a016b0c037d79204a5c71517b26db29631b0ba","target":"graph","created_at":"2026-07-04T16:13:18Z","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/cond-mat/9909352/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We reanalyze the Hubbard-I approximation by showing that it is equivalent to an effective Hamiltonian describing Fermionic charge fluctuations, which can be solved by Bogoliubov transformation. As the most important correction in the limit of large U and weak spin correlations we augment this Hamiltonian by further effective particles, which describe composite objects of a Fermionic charge fluctuation and a spin-, density- or eta- excitation. The scheme is valid for positive and negative U. We present results for the single particle Green's function for the two-dimensional Hubbard model with a","authors_text":"A. Dorneich, C. Groeber, M. G. Zacher, R. Eder","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.str-el","submitted_at":"1999-09-23T17:12:06Z","title":"Strong coupling theory for the Hubbard model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9909352","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":"sha256:767d906a81c46b2403c5a1ddafbf81b5fd986179c66ce5880a396add3787b33c","target":"record","created_at":"2026-07-04T16:13:18Z","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":"5fd9efe87390556f6da3d06fdcf5fb995a48d9e2ef1755f37a26aafb5cc3d49a","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.str-el","submitted_at":"1999-09-23T17:12:06Z","title_canon_sha256":"c0fd210b039681c1168c3bf178921030e008d40a3d5fc4437dc66fbf9d1e0d8c"},"schema_version":"1.0","source":{"id":"cond-mat/9909352","kind":"arxiv","version":1}},"canonical_sha256":"d9ea2a007dfc0518d77ca9a0b30273debb78506249906c9c32c2d798422ecd40","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d9ea2a007dfc0518d77ca9a0b30273debb78506249906c9c32c2d798422ecd40","first_computed_at":"2026-07-04T16:13:18.648302Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:13:18.648302Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bLhn3SD9ENWNJnAVdXjnmH5aJSoZpWgOIdbBE9kG6FVkn0jZqukag8Q4fzppTQp80mCDj8h/rSlGzab9T34NAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:13:18.648732Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9909352","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:767d906a81c46b2403c5a1ddafbf81b5fd986179c66ce5880a396add3787b33c","sha256:a1448959ccd1f74e70e703b938a016b0c037d79204a5c71517b26db29631b0ba"],"state_sha256":"5643fc34c6a528e7128a44d4ef33b6cae2c0eab4517104444b8dd84ee5075638"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mxhj/DeTAMUOBI1z6+d0KS6SWIwvi5Ofv4vwlWH96psAiH/dv3HnoLy1X47mv8K8WmNYsPTchaLncLD6lSGaBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T13:45:10.425492Z","bundle_sha256":"91ea2b59e65768ea611d4c9baee2184899140fa52a8194948707f9f14fbd891e"}}