{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:ZAGDYK66Q4LW4RJWIILID5HD3Z","short_pith_number":"pith:ZAGDYK66","canonical_record":{"source":{"id":"cond-mat/9710048","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1997-10-04T19:23:16Z","cross_cats_sorted":[],"title_canon_sha256":"5a11f10ece5b91f716d2679ef6532384e151598a01c1fb897563f9a1e426c216","abstract_canon_sha256":"4c50ba74b0fc943d772163a9c47a460af1c4c85607af05f03a357a0e4a24e73b"},"schema_version":"1.0"},"canonical_sha256":"c80c3c2bde87176e4536421681f4e3de72367b47c55cf73fc038b892dd9c2a42","source":{"kind":"arxiv","id":"cond-mat/9710048","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9710048","created_at":"2026-05-18T01:39:33Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9710048v1","created_at":"2026-05-18T01:39:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9710048","created_at":"2026-05-18T01:39:33Z"},{"alias_kind":"pith_short_12","alias_value":"ZAGDYK66Q4LW","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"ZAGDYK66Q4LW4RJW","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"ZAGDYK66","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:ZAGDYK66Q4LW4RJWIILID5HD3Z","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/9710048","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1997-10-04T19:23:16Z","cross_cats_sorted":[],"title_canon_sha256":"5a11f10ece5b91f716d2679ef6532384e151598a01c1fb897563f9a1e426c216","abstract_canon_sha256":"4c50ba74b0fc943d772163a9c47a460af1c4c85607af05f03a357a0e4a24e73b"},"schema_version":"1.0"},"canonical_sha256":"c80c3c2bde87176e4536421681f4e3de72367b47c55cf73fc038b892dd9c2a42","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:33.071258Z","signature_b64":"tV7k1lqOsvmZDbb1Dana+lFUL+5J4SJyWrY/cbZ0RqUl70FRZvSXQvrP40kuEGgoNofQrlC9ClfKnxdWr5RMCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c80c3c2bde87176e4536421681f4e3de72367b47c55cf73fc038b892dd9c2a42","last_reissued_at":"2026-05-18T01:39:33.070712Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:33.070712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/9710048","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":"2026-05-18T01:39:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YZe6QcQDYR6UliGwzMxbTaE/mANtZ8hm13uHWOpAG1AK/To78Ic76YptUmPqGV02mWm/0Gb0qJzFFEE1REaIBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T06:58:32.930249Z"},"content_sha256":"cd49cf2fcb4422ee68d37dc0603f7ac3690c034194d1f629b358cb06be3dd4a6","schema_version":"1.0","event_id":"sha256:cd49cf2fcb4422ee68d37dc0603f7ac3690c034194d1f629b358cb06be3dd4a6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:ZAGDYK66Q4LW4RJWIILID5HD3Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Beyond the Hubbard-I Solution with a One-Pole Self-Energy at Half-Filling with the Moment Approach: Non-Linear Effects","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"J.J. Rodriguez-Nunez, M.A. de Menezes","submitted_at":"1997-10-04T19:23:16Z","abstract_excerpt":"We have postulated a single pole for the self-energy, $\\Sigma(\\vec{k},\\omega)$, looking for the consequences on the one-particle Green function, $G(\\vec{k},\\omega)$ in the Hubbard model. We find that $G(\\vec{k},\\omega)$ satisfies the first two sum rules or moments of Nolting (Z. Physik 255, 25 (1972)) for any values of the two unknown $\\vec{k}$ parameters of $\\Sigma(\\vec{k},\\omega)$. In order to find these two parameters we have used the third and four sum rules of Nolting. $G(\\vec{k},\\omega)$ turns out to be identical to the one of Nolting (Z. Physik 225, 25 (1972)), which is beyond a Hubbard"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9710048","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":"2026-05-18T01:39:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KOUEZSNNhlCzs+Nve36c6wo5oiobyMrfLs3hmnsUSAQ4gaewQTB2h4zpmrHxkCBG3Df6tcjoNVHSq5MkmODaCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T06:58:32.930606Z"},"content_sha256":"22445406e63f583b9093dd8e10541f53da09ce3d4d556a6a00924f42d69b43c6","schema_version":"1.0","event_id":"sha256:22445406e63f583b9093dd8e10541f53da09ce3d4d556a6a00924f42d69b43c6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZAGDYK66Q4LW4RJWIILID5HD3Z/bundle.json","state_url":"https://pith.science/pith/ZAGDYK66Q4LW4RJWIILID5HD3Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZAGDYK66Q4LW4RJWIILID5HD3Z/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":"2026-06-07T06:58:32Z","links":{"resolver":"https://pith.science/pith/ZAGDYK66Q4LW4RJWIILID5HD3Z","bundle":"https://pith.science/pith/ZAGDYK66Q4LW4RJWIILID5HD3Z/bundle.json","state":"https://pith.science/pith/ZAGDYK66Q4LW4RJWIILID5HD3Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZAGDYK66Q4LW4RJWIILID5HD3Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:ZAGDYK66Q4LW4RJWIILID5HD3Z","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":"4c50ba74b0fc943d772163a9c47a460af1c4c85607af05f03a357a0e4a24e73b","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1997-10-04T19:23:16Z","title_canon_sha256":"5a11f10ece5b91f716d2679ef6532384e151598a01c1fb897563f9a1e426c216"},"schema_version":"1.0","source":{"id":"cond-mat/9710048","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9710048","created_at":"2026-05-18T01:39:33Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9710048v1","created_at":"2026-05-18T01:39:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9710048","created_at":"2026-05-18T01:39:33Z"},{"alias_kind":"pith_short_12","alias_value":"ZAGDYK66Q4LW","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"ZAGDYK66Q4LW4RJW","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"ZAGDYK66","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:22445406e63f583b9093dd8e10541f53da09ce3d4d556a6a00924f42d69b43c6","target":"graph","created_at":"2026-05-18T01:39:33Z","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 have postulated a single pole for the self-energy, $\\Sigma(\\vec{k},\\omega)$, looking for the consequences on the one-particle Green function, $G(\\vec{k},\\omega)$ in the Hubbard model. We find that $G(\\vec{k},\\omega)$ satisfies the first two sum rules or moments of Nolting (Z. Physik 255, 25 (1972)) for any values of the two unknown $\\vec{k}$ parameters of $\\Sigma(\\vec{k},\\omega)$. In order to find these two parameters we have used the third and four sum rules of Nolting. $G(\\vec{k},\\omega)$ turns out to be identical to the one of Nolting (Z. Physik 225, 25 (1972)), which is beyond a Hubbard","authors_text":"J.J. Rodriguez-Nunez, M.A. de Menezes","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"1997-10-04T19:23:16Z","title":"Beyond the Hubbard-I Solution with a One-Pole Self-Energy at Half-Filling with the Moment Approach: Non-Linear Effects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9710048","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:cd49cf2fcb4422ee68d37dc0603f7ac3690c034194d1f629b358cb06be3dd4a6","target":"record","created_at":"2026-05-18T01:39:33Z","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":"4c50ba74b0fc943d772163a9c47a460af1c4c85607af05f03a357a0e4a24e73b","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1997-10-04T19:23:16Z","title_canon_sha256":"5a11f10ece5b91f716d2679ef6532384e151598a01c1fb897563f9a1e426c216"},"schema_version":"1.0","source":{"id":"cond-mat/9710048","kind":"arxiv","version":1}},"canonical_sha256":"c80c3c2bde87176e4536421681f4e3de72367b47c55cf73fc038b892dd9c2a42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c80c3c2bde87176e4536421681f4e3de72367b47c55cf73fc038b892dd9c2a42","first_computed_at":"2026-05-18T01:39:33.070712Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:33.070712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tV7k1lqOsvmZDbb1Dana+lFUL+5J4SJyWrY/cbZ0RqUl70FRZvSXQvrP40kuEGgoNofQrlC9ClfKnxdWr5RMCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:33.071258Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9710048","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd49cf2fcb4422ee68d37dc0603f7ac3690c034194d1f629b358cb06be3dd4a6","sha256:22445406e63f583b9093dd8e10541f53da09ce3d4d556a6a00924f42d69b43c6"],"state_sha256":"dca815e01569503996b7d88805ab20ca76556d5aceb2152c5a322f4a49a15a1e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"35bNzbjrBLDvReBMMus+eeTGHfYbJZ5nKJCwjaicsN8P2HXy996Gsdk3vJRcPYfcvlYfH6rzyzhkRMwK2j7WBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T06:58:32.932384Z","bundle_sha256":"e48146a28cf8690595b9c3e7de39c735cec7119b29fc4efb8d1cd6ede94a7d88"}}