{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:WNIWA3JWNTKQZXI67B73XM352I","short_pith_number":"pith:WNIWA3JW","canonical_record":{"source":{"id":"1610.04818","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-10-16T04:24:20Z","cross_cats_sorted":[],"title_canon_sha256":"43b023181355ac0531a27ca8337206c742aac0b71916a250340f6a3c3df73037","abstract_canon_sha256":"13ab4df03413f071b2f52deff5acdfad4fea1d6f96e1143e5f2b33854f5460f1"},"schema_version":"1.0"},"canonical_sha256":"b351606d366cd50cdd1ef87fbbb37dd23164c1681686efeab3a5cd5c58047378","source":{"kind":"arxiv","id":"1610.04818","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.04818","created_at":"2026-05-18T00:50:56Z"},{"alias_kind":"arxiv_version","alias_value":"1610.04818v1","created_at":"2026-05-18T00:50:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.04818","created_at":"2026-05-18T00:50:56Z"},{"alias_kind":"pith_short_12","alias_value":"WNIWA3JWNTKQ","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WNIWA3JWNTKQZXI6","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WNIWA3JW","created_at":"2026-05-18T12:30:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:WNIWA3JWNTKQZXI67B73XM352I","target":"record","payload":{"canonical_record":{"source":{"id":"1610.04818","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-10-16T04:24:20Z","cross_cats_sorted":[],"title_canon_sha256":"43b023181355ac0531a27ca8337206c742aac0b71916a250340f6a3c3df73037","abstract_canon_sha256":"13ab4df03413f071b2f52deff5acdfad4fea1d6f96e1143e5f2b33854f5460f1"},"schema_version":"1.0"},"canonical_sha256":"b351606d366cd50cdd1ef87fbbb37dd23164c1681686efeab3a5cd5c58047378","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:56.523083Z","signature_b64":"RYFUp9TihzLYGAbzUkg9ib4s7NLtGbhrU0xLGKqKjUr8E0x24ylHX5MiTVEC8CmZNIsVQPcMznc85VnVFIZwBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b351606d366cd50cdd1ef87fbbb37dd23164c1681686efeab3a5cd5c58047378","last_reissued_at":"2026-05-18T00:50:56.522555Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:56.522555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.04818","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":"2026-05-18T00:50:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uLhtxouKosh38O52nUMecO0rcIVZvGNNMD2BxaCEgyxmavHV/eG2BuF8Jp2dSjTvPJbL4BBhMCHiSG2hbroGAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:34:44.402656Z"},"content_sha256":"4bd7f293b95634d4fc3b1c5f62676e6d37962e8d6aa246542678b3eaa82bd640","schema_version":"1.0","event_id":"sha256:4bd7f293b95634d4fc3b1c5f62676e6d37962e8d6aa246542678b3eaa82bd640"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:WNIWA3JWNTKQZXI67B73XM352I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Staggered Flux State in Two-Dimensional Hubbard Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Hisatoshi Yokoyama, Masao Ogata, Shun Tamura","submitted_at":"2016-10-16T04:24:20Z","abstract_excerpt":"The stability and other properties of a staggered flux (SF) state or a correlated d-density wave state are studied for the Hubbard (t-t'-U) model on extended square lattices, as a low-lying state that competes with the d(x2-y2)-wave superconductivity (d-SC) and possibly causes the pseudogap phenomena in underdoped high-Tc cuprates and organic kappa-BEDT-TTF salts. In calculations, a variational Monte Carlo method is used. In the trial wave function, a configuration-dependent phase factor, which is vital to treat a current-carrying state for a large U/t, is introduced in addition to ordinary co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.04818","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":"2026-05-18T00:50:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oSEZ+t0+2mERIC5VWldwXj/Pko9t//MACtFeC2aBD7tGqM7RYnAVsmKAlMJ/kHxK6/wN4jwy5rx4z8QYGCGuBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:34:44.403044Z"},"content_sha256":"58310b5e84bae95f1e7a171ef587660bdb0d596eb08f1d7a5755052f76409488","schema_version":"1.0","event_id":"sha256:58310b5e84bae95f1e7a171ef587660bdb0d596eb08f1d7a5755052f76409488"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WNIWA3JWNTKQZXI67B73XM352I/bundle.json","state_url":"https://pith.science/pith/WNIWA3JWNTKQZXI67B73XM352I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WNIWA3JWNTKQZXI67B73XM352I/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":"2026-06-02T17:34:44Z","links":{"resolver":"https://pith.science/pith/WNIWA3JWNTKQZXI67B73XM352I","bundle":"https://pith.science/pith/WNIWA3JWNTKQZXI67B73XM352I/bundle.json","state":"https://pith.science/pith/WNIWA3JWNTKQZXI67B73XM352I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WNIWA3JWNTKQZXI67B73XM352I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WNIWA3JWNTKQZXI67B73XM352I","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":"13ab4df03413f071b2f52deff5acdfad4fea1d6f96e1143e5f2b33854f5460f1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-10-16T04:24:20Z","title_canon_sha256":"43b023181355ac0531a27ca8337206c742aac0b71916a250340f6a3c3df73037"},"schema_version":"1.0","source":{"id":"1610.04818","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.04818","created_at":"2026-05-18T00:50:56Z"},{"alias_kind":"arxiv_version","alias_value":"1610.04818v1","created_at":"2026-05-18T00:50:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.04818","created_at":"2026-05-18T00:50:56Z"},{"alias_kind":"pith_short_12","alias_value":"WNIWA3JWNTKQ","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WNIWA3JWNTKQZXI6","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WNIWA3JW","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:58310b5e84bae95f1e7a171ef587660bdb0d596eb08f1d7a5755052f76409488","target":"graph","created_at":"2026-05-18T00:50:56Z","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":"The stability and other properties of a staggered flux (SF) state or a correlated d-density wave state are studied for the Hubbard (t-t'-U) model on extended square lattices, as a low-lying state that competes with the d(x2-y2)-wave superconductivity (d-SC) and possibly causes the pseudogap phenomena in underdoped high-Tc cuprates and organic kappa-BEDT-TTF salts. In calculations, a variational Monte Carlo method is used. In the trial wave function, a configuration-dependent phase factor, which is vital to treat a current-carrying state for a large U/t, is introduced in addition to ordinary co","authors_text":"Hisatoshi Yokoyama, Masao Ogata, Shun Tamura","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-10-16T04:24:20Z","title":"Staggered Flux State in Two-Dimensional Hubbard Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.04818","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":"sha256:4bd7f293b95634d4fc3b1c5f62676e6d37962e8d6aa246542678b3eaa82bd640","target":"record","created_at":"2026-05-18T00:50:56Z","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":"13ab4df03413f071b2f52deff5acdfad4fea1d6f96e1143e5f2b33854f5460f1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-10-16T04:24:20Z","title_canon_sha256":"43b023181355ac0531a27ca8337206c742aac0b71916a250340f6a3c3df73037"},"schema_version":"1.0","source":{"id":"1610.04818","kind":"arxiv","version":1}},"canonical_sha256":"b351606d366cd50cdd1ef87fbbb37dd23164c1681686efeab3a5cd5c58047378","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b351606d366cd50cdd1ef87fbbb37dd23164c1681686efeab3a5cd5c58047378","first_computed_at":"2026-05-18T00:50:56.522555Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:56.522555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RYFUp9TihzLYGAbzUkg9ib4s7NLtGbhrU0xLGKqKjUr8E0x24ylHX5MiTVEC8CmZNIsVQPcMznc85VnVFIZwBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:56.523083Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.04818","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4bd7f293b95634d4fc3b1c5f62676e6d37962e8d6aa246542678b3eaa82bd640","sha256:58310b5e84bae95f1e7a171ef587660bdb0d596eb08f1d7a5755052f76409488"],"state_sha256":"60b5b6536d09a88f9bd18f20200b04006f2fbd6faf52c5a39910d1eef7cd28ed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sFw9IPUJntkQpqay/Fk0cAuuoWh96uFWhuxv6DV8ZPjIOqUkLZ1ZCjp62tSv5ZH2mo0okwFfLSX350/NN+QBBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T17:34:44.405221Z","bundle_sha256":"2bcec9e63058aa9600b3979f2d613802bbe5a7d903a811bbf19d721ca39d8803"}}